contradiction-derivation

Research

Negate a claim, derive logical consequences step by step, detect whether a genuine contradiction or absurdity emerges.

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Contradiction Derivation

Orchestration Steps

Receive claim P from strategy
Dispatch claim-negation to produce ~P
Dispatch deductive-chain with ~P as premise, derive consequences
At each derivation step, dispatch contradiction-detection to check for:
- Formal contradiction (Q and ~Q)
- Absurd consequence (violates known facts)
- Infinite regress or vacuous truth
If contradiction found: report with derivation trace
If chain exhausts without contradiction: report claim as contingent

Subagents

claim-negation
deductive-chain
contradiction-detection

Termination Conditions

Genuine contradiction detected (success)
Maximum derivation depth reached (inconclusive)
Circular reasoning detected (abort with warning)
Budget exhausted (report partial results)

Available SOPs

Optional, no fixed order; the final leaf is always a sop.

SOP	When to use
claim-negation	Formally negate the core claim, producing the logical complement for reductio testing.
contradiction-detection	Evaluate whether a derivation chain has reached a genuine contradiction, absurdity, or inconclusive state.
deductive-chain	Derive logical consequences step by step from a given premise, building a traceable derivation chain.