%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : COM146+1 : TPTP v9.2.0. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 : Fri Oct 3 07:45:56 PM UTC 2025 % Result : Theorem 51.88s 52.08s % Output : Proof 51.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : COM146+1 : TPTP v9.2.0. Released v6.4.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n029.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 15:50:08 EDT 2025 % 0.13/0.35 % CPUTime : % 51.88/52.08 SZS status Theorem for theBenchmark.p % 51.88/52.08 SZS output start Proof for theBenchmark.p % 51.88/52.08 Clause #37 (by assumption #[]): Eq (∀ (VExp0 : Iota), Ne vnoExp (vsomeExp VExp0)) True % 51.88/52.08 Clause #41 (by assumption #[]): Eq (∀ (Vx VExp0 RESULT : Iota), Eq VExp0 (vvar Vx) → Eq RESULT (vreduce VExp0) → Eq RESULT vnoExp) True % 51.88/52.08 Clause #58 (by assumption #[]): Eq % 51.88/52.08 (Not % 51.88/52.08 (∀ (Vx VC Veout VT : Iota), % 51.88/52.08 And (Eq (vreduce (vvar Vx)) (vsomeExp Veout)) (vtcheck VC (vvar Vx) VT) → vtcheck VC Veout VT)) % 51.88/52.08 True % 51.88/52.08 Clause #93 (by clausification #[37]): ∀ (a : Iota), Eq (Ne vnoExp (vsomeExp a)) True % 51.88/52.08 Clause #94 (by clausification #[93]): ∀ (a : Iota), Ne vnoExp (vsomeExp a) % 51.88/52.08 Clause #173 (by clausification #[41]): ∀ (a : Iota), Eq (∀ (VExp0 RESULT : Iota), Eq VExp0 (vvar a) → Eq RESULT (vreduce VExp0) → Eq RESULT vnoExp) True % 51.88/52.08 Clause #174 (by clausification #[173]): ∀ (a a_1 : Iota), Eq (∀ (RESULT : Iota), Eq a (vvar a_1) → Eq RESULT (vreduce a) → Eq RESULT vnoExp) True % 51.88/52.08 Clause #175 (by clausification #[174]): ∀ (a a_1 a_2 : Iota), Eq (Eq a (vvar a_1) → Eq a_2 (vreduce a) → Eq a_2 vnoExp) True % 51.88/52.08 Clause #176 (by clausification #[175]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq a (vvar a_1)) False) (Eq (Eq a_2 (vreduce a) → Eq a_2 vnoExp) True) % 51.88/52.08 Clause #177 (by clausification #[176]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq a (vreduce a_1) → Eq a vnoExp) True) (Ne a_1 (vvar a_2)) % 51.88/52.08 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 : Iota), Or (Ne a (vvar a_1)) (Or (Eq (Eq a_2 (vreduce a)) False) (Eq (Eq a_2 vnoExp) True)) % 51.88/52.08 Clause #179 (by clausification #[178]): ∀ (a a_1 a_2 : Iota), Or (Ne a (vvar a_1)) (Or (Eq (Eq a_2 vnoExp) True) (Ne a_2 (vreduce a))) % 51.88/52.08 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 : Iota), Or (Ne a (vvar a_1)) (Or (Ne a_2 (vreduce a)) (Eq a_2 vnoExp)) % 51.88/52.08 Clause #181 (by destructive equality resolution #[180]): ∀ (a a_1 : Iota), Or (Ne a (vreduce (vvar a_1))) (Eq a vnoExp) % 51.88/52.08 Clause #182 (by destructive equality resolution #[181]): ∀ (a : Iota), Eq (vreduce (vvar a)) vnoExp % 51.88/52.08 Clause #244 (by clausification #[58]): Eq % 51.88/52.08 (∀ (Vx VC Veout VT : Iota), % 51.88/52.08 And (Eq (vreduce (vvar Vx)) (vsomeExp Veout)) (vtcheck VC (vvar Vx) VT) → vtcheck VC Veout VT) % 51.88/52.08 False % 51.88/52.08 Clause #245 (by clausification #[244]): ∀ (a : Iota), % 51.88/52.08 Eq % 51.88/52.08 (Not % 51.88/52.08 (∀ (VC Veout VT : Iota), % 51.88/52.08 And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp Veout)) (vtcheck VC (vvar (skS.0 0 a)) VT) → % 51.88/52.08 vtcheck VC Veout VT)) % 51.88/52.08 True % 51.88/52.08 Clause #246 (by clausification #[245]): ∀ (a : Iota), % 51.88/52.08 Eq % 51.88/52.08 (∀ (VC Veout VT : Iota), % 51.88/52.08 And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp Veout)) (vtcheck VC (vvar (skS.0 0 a)) VT) → vtcheck VC Veout VT) % 51.88/52.08 False % 51.88/52.08 Clause #247 (by clausification #[246]): ∀ (a a_1 : Iota), % 51.88/52.08 Eq % 51.88/52.08 (Not % 51.88/52.08 (∀ (Veout VT : Iota), % 51.88/52.08 And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp Veout)) (vtcheck (skS.0 1 a a_1) (vvar (skS.0 0 a)) VT) → % 51.88/52.08 vtcheck (skS.0 1 a a_1) Veout VT)) % 51.88/52.08 True % 51.88/52.08 Clause #248 (by clausification #[247]): ∀ (a a_1 : Iota), % 51.88/52.08 Eq % 51.88/52.08 (∀ (Veout VT : Iota), % 51.88/52.08 And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp Veout)) (vtcheck (skS.0 1 a a_1) (vvar (skS.0 0 a)) VT) → % 51.88/52.08 vtcheck (skS.0 1 a a_1) Veout VT) % 51.88/52.08 False % 51.88/52.08 Clause #249 (by clausification #[248]): ∀ (a a_1 a_2 : Iota), % 51.88/52.08 Eq % 51.88/52.08 (Not % 51.88/52.08 (∀ (VT : Iota), % 51.88/52.08 And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp (skS.0 2 a a_1 a_2))) % 51.88/52.08 (vtcheck (skS.0 1 a a_1) (vvar (skS.0 0 a)) VT) → % 51.88/52.08 vtcheck (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) VT)) % 51.88/52.08 True % 51.88/52.08 Clause #250 (by clausification #[249]): ∀ (a a_1 a_2 : Iota), % 51.88/52.08 Eq % 51.88/52.08 (∀ (VT : Iota), % 51.88/52.08 And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp (skS.0 2 a a_1 a_2))) % 51.88/52.08 (vtcheck (skS.0 1 a a_1) (vvar (skS.0 0 a)) VT) → % 51.88/52.08 vtcheck (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) VT) % 51.88/52.08 False % 51.88/52.08 Clause #251 (by clausification #[250]): ∀ (a a_1 a_2 a_3 : Iota), % 51.88/52.08 Eq % 51.88/52.08 (Not % 51.88/52.08 (And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp (skS.0 2 a a_1 a_2))) % 51.88/52.08 (vtcheck (skS.0 1 a a_1) (vvar (skS.0 0 a)) (skS.0 3 a a_1 a_2 a_3)) → % 51.88/52.08 vtcheck (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 51.92/52.14 True % 51.92/52.14 Clause #252 (by clausification #[251]): ∀ (a a_1 a_2 a_3 : Iota), % 51.92/52.14 Eq % 51.92/52.14 (And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp (skS.0 2 a a_1 a_2))) % 51.92/52.14 (vtcheck (skS.0 1 a a_1) (vvar (skS.0 0 a)) (skS.0 3 a a_1 a_2 a_3)) → % 51.92/52.14 vtcheck (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) % 51.92/52.14 False % 51.92/52.14 Clause #253 (by clausification #[252]): ∀ (a a_1 a_2 a_3 : Iota), % 51.92/52.14 Eq % 51.92/52.14 (And (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp (skS.0 2 a a_1 a_2))) % 51.92/52.14 (vtcheck (skS.0 1 a a_1) (vvar (skS.0 0 a)) (skS.0 3 a a_1 a_2 a_3))) % 51.92/52.14 True % 51.92/52.14 Clause #256 (by clausification #[253]): ∀ (a a_1 a_2 : Iota), Eq (Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp (skS.0 2 a a_1 a_2))) True % 51.92/52.14 Clause #6137 (by clausification #[256]): ∀ (a a_1 a_2 : Iota), Eq (vreduce (vvar (skS.0 0 a))) (vsomeExp (skS.0 2 a a_1 a_2)) % 51.92/52.14 Clause #6138 (by forward demodulation #[6137, 182]): ∀ (a a_1 a_2 : Iota), Eq vnoExp (vsomeExp (skS.0 2 a a_1 a_2)) % 51.92/52.14 Clause #6139 (by forward contextual literal cutting #[6138, 94]): False % 51.92/52.14 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------