%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV168^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 08:02:54 PM UTC 2025 % Result : Theorem 3.51s 3.68s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SEV168^5 : TPTP v9.2.0. Released v4.0.0. % 0.04/0.14 % Command : duper %s % 0.13/0.35 % Computer : n007.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 00:58:38 EDT 2025 % 0.13/0.35 % CPUTime : % 3.51/3.68 SZS status Theorem for theBenchmark.p % 3.51/3.68 SZS output start Proof for theBenchmark.p % 3.51/3.68 Clause #0 (by assumption #[]): Eq % 3.51/3.68 (Not % 3.51/3.68 (And (Eq q fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy)) % 3.51/3.68 (Eq p fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy)) → % 3.51/3.68 Eq p q)) % 3.51/3.68 True % 3.51/3.68 Clause #1 (by clausification #[0]): Eq % 3.51/3.68 (And (Eq q fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy)) % 3.51/3.68 (Eq p fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy)) → % 3.51/3.68 Eq p q) % 3.51/3.68 False % 3.51/3.68 Clause #2 (by clausification #[1]): Eq % 3.51/3.68 (And (Eq q fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy)) % 3.51/3.68 (Eq p fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy))) % 3.51/3.68 True % 3.51/3.68 Clause #3 (by clausification #[1]): Eq (Eq p q) False % 3.51/3.68 Clause #4 (by clausification #[2]): Eq (Eq p fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy)) True % 3.51/3.68 Clause #5 (by clausification #[2]): Eq (Eq q fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy)) True % 3.51/3.68 Clause #6 (by clausification #[4]): Eq p fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy) % 3.51/3.68 Clause #8 (by clausification #[3]): Ne p q % 3.51/3.68 Clause #12 (by clausification #[5]): Eq q fun Xg => Xg (q fun Xx Xy => Xx) (q fun Xx Xy => Xy) % 3.51/3.68 Clause #13 (by superposition #[12, 6]): Eq p q % 3.51/3.68 Clause #15 (by forward contextual literal cutting #[13, 8]): False % 3.51/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------