%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : COM125+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Tue May 12 06:56:31 PM UTC 2026 % Result : Theorem 0.81s 1.35s % Output : Proof 0.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM125+1 : TPTP v9.2.1. Released v6.4.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.16/0.33 % Computer : n019.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon May 11 11:15:00 EDT 2026 % 0.16/0.33 % CPUTime : % 0.81/1.35 % SZS status Theorem % 0.81/1.35 % SZS output start Proof % 0.81/1.35 % 0.81/1.35 =============================================================== % 0.81/1.35 TPTP Problem: T-Weak-FreeVar-abs (conjecture with 59 axiom(s)) % 0.81/1.35 Axioms: [EQ-var,EQ-abs,EQ-app,DIFF-var-abs,DIFF-var-app,DIFF-abs-app,isValue0,isValue1,isValue2,isFreeVar0,isFreeVar1,isFreeVar2,EQ-empty,EQ-bind,EQ-noType,EQ-someType,DIFF-empty-bind,DIFF-noType-someType,isSomeType0,isSomeType1,getSomeType0,lookup0,lookup1,lookup2,lookup-INV,T-Context-Duplicate,T-Context-Swap,gensym-is-fresh,subst0,subst1,subst2,subst3,subst4,subst5,subst-INV,EQ-noExp,EQ-someExp,DIFF-noExp-someExp,isSomeExp0,isSomeExp1,getSomeExp0,reduce0,reduce1,reduce2,reduce3,reduce4,reduce5,reduce6,reduce-INV,EQ-arrow,T-var,T-abs,T-app,T-inv,T-Weak,T-Strong,T-Weak-FreeVar-abs-IH,T-Weak-FreeVar-abs-1,T-Weak-FreeVar-abs-2] % 0.81/1.35 =============================================================== % 0.81/1.35 % 0.81/1.35 Combined formula: 59 axiom(s) => conjecture % 0.81/1.35 % 0.81/1.35 % Equality/functions detected -> nanoCoP oracle mode % 0.81/1.35 nanoCoP : % 0.81/1.35 % 395,415 inferences, 0.291 CPU in 0.291 seconds (100% CPU, 1360860 Lips) % 0.81/1.35 % 0.81/1.35 % nanoCoP proof (equality/functions) % 0.81/1.35 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.81/1.35 % 0.81/1.35 % SZS output end Proof %------------------------------------------------------------------------------