%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : COM147+1 : TPTP v9.2.0. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 31.20s 31.41s % Output : Proof 31.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : COM147+1 : TPTP v9.2.0. Released v6.4.0. % 0.03/0.13 % Command : duper %s % 0.14/0.34 % Computer : n018.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 15:56:23 EDT 2025 % 0.14/0.34 % CPUTime : % 31.20/31.41 SZS status Theorem for theBenchmark.p % 31.20/31.41 SZS output start Proof for theBenchmark.p % 31.20/31.41 Clause #6 (by assumption #[]): Eq (∀ (Vx VS Ve VExp0 : Iota), Eq VExp0 (vabs Vx VS Ve) → visValue VExp0) True % 31.20/31.41 Clause #57 (by assumption #[]): Eq % 31.20/31.41 (Not % 31.20/31.41 (∀ (VTin Vx VS : Iota), % 31.20/31.41 And (vtcheck vempty (vabs Vx VS ve1) VTin) (Not (visValue (vabs Vx VS ve1))) → % 31.20/31.41 Exists fun Veout => Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout))) % 31.20/31.41 True % 31.20/31.41 Clause #100 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (VS Ve VExp0 : Iota), Eq VExp0 (vabs a VS Ve) → visValue VExp0) True % 31.20/31.41 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota), Eq (∀ (Ve VExp0 : Iota), Eq VExp0 (vabs a a_1 Ve) → visValue VExp0) True % 31.20/31.41 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota), Eq (∀ (VExp0 : Iota), Eq VExp0 (vabs a a_1 a_2) → visValue VExp0) True % 31.20/31.41 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Eq a (vabs a_1 a_2 a_3) → visValue a) True % 31.20/31.41 Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (Eq a (vabs a_1 a_2 a_3)) False) (Eq (visValue a) True) % 31.20/31.41 Clause #105 (by clausification #[104]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (visValue a) True) (Ne a (vabs a_1 a_2 a_3)) % 31.20/31.41 Clause #106 (by destructive equality resolution #[105]): ∀ (a a_1 a_2 : Iota), Eq (visValue (vabs a a_1 a_2)) True % 31.20/31.41 Clause #4578 (by clausification #[57]): Eq % 31.20/31.41 (∀ (VTin Vx VS : Iota), % 31.20/31.41 And (vtcheck vempty (vabs Vx VS ve1) VTin) (Not (visValue (vabs Vx VS ve1))) → % 31.20/31.41 Exists fun Veout => Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout)) % 31.20/31.41 False % 31.20/31.41 Clause #4579 (by clausification #[4578]): ∀ (a : Iota), % 31.20/31.41 Eq % 31.20/31.41 (Not % 31.20/31.41 (∀ (Vx VS : Iota), % 31.20/31.41 And (vtcheck vempty (vabs Vx VS ve1) (skS.0 75 a)) (Not (visValue (vabs Vx VS ve1))) → % 31.20/31.41 Exists fun Veout => Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout))) % 31.20/31.41 True % 31.20/31.41 Clause #4580 (by clausification #[4579]): ∀ (a : Iota), % 31.20/31.41 Eq % 31.20/31.41 (∀ (Vx VS : Iota), % 31.20/31.41 And (vtcheck vempty (vabs Vx VS ve1) (skS.0 75 a)) (Not (visValue (vabs Vx VS ve1))) → % 31.20/31.41 Exists fun Veout => Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout)) % 31.20/31.41 False % 31.20/31.41 Clause #4581 (by clausification #[4580]): ∀ (a a_1 : Iota), % 31.20/31.41 Eq % 31.20/31.41 (Not % 31.20/31.41 (∀ (VS : Iota), % 31.20/31.41 And (vtcheck vempty (vabs (skS.0 76 a a_1) VS ve1) (skS.0 75 a)) % 31.20/31.41 (Not (visValue (vabs (skS.0 76 a a_1) VS ve1))) → % 31.20/31.41 Exists fun Veout => Eq (vreduce (vabs (skS.0 76 a a_1) VS ve1)) (vsomeExp Veout))) % 31.20/31.41 True % 31.20/31.41 Clause #4582 (by clausification #[4581]): ∀ (a a_1 : Iota), % 31.20/31.41 Eq % 31.20/31.41 (∀ (VS : Iota), % 31.20/31.41 And (vtcheck vempty (vabs (skS.0 76 a a_1) VS ve1) (skS.0 75 a)) (Not (visValue (vabs (skS.0 76 a a_1) VS ve1))) → % 31.20/31.41 Exists fun Veout => Eq (vreduce (vabs (skS.0 76 a a_1) VS ve1)) (vsomeExp Veout)) % 31.20/31.41 False % 31.20/31.41 Clause #4583 (by clausification #[4582]): ∀ (a a_1 a_2 : Iota), % 31.20/31.41 Eq % 31.20/31.41 (Not % 31.20/31.41 (And (vtcheck vempty (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1) (skS.0 75 a)) % 31.20/31.41 (Not (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1))) → % 31.20/31.41 Exists fun Veout => Eq (vreduce (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1)) (vsomeExp Veout))) % 31.20/31.41 True % 31.20/31.41 Clause #4584 (by clausification #[4583]): ∀ (a a_1 a_2 : Iota), % 31.20/31.41 Eq % 31.20/31.41 (And (vtcheck vempty (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1) (skS.0 75 a)) % 31.20/31.41 (Not (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1))) → % 31.20/31.41 Exists fun Veout => Eq (vreduce (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1)) (vsomeExp Veout)) % 31.20/31.41 False % 31.20/31.41 Clause #4585 (by clausification #[4584]): ∀ (a a_1 a_2 : Iota), % 31.20/31.41 Eq % 31.20/31.41 (And (vtcheck vempty (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1) (skS.0 75 a)) % 31.20/31.41 (Not (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1)))) % 31.20/31.41 True % 31.20/31.41 Clause #4587 (by clausification #[4585]): ∀ (a a_1 a_2 : Iota), Eq (Not (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1))) True % 31.20/31.41 Clause #4589 (by clausification #[4587]): ∀ (a a_1 a_2 : Iota), Eq (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1)) False % 31.20/31.41 Clause #4590 (by superposition #[4589, 106]): Eq False True % 31.20/31.41 Clause #4631 (by clausification #[4590]): False % 31.28/31.45 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------