%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM771^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 07:57:18 PM UTC 2025 % Result : Theorem 3.32s 3.49s % Output : Proof 3.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM771^1 : TPTP v9.2.0. Released v3.7.0. % 0.06/0.12 % Command : duper %s % 0.12/0.34 % Computer : n015.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 07:42:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.32/3.49 SZS status Theorem for theBenchmark.p % 3.32/3.49 SZS output start Proof for theBenchmark.p % 3.32/3.49 Clause #0 (by assumption #[]): Eq (∀ (Xx : frac), eq Xx Xx) True % 3.32/3.49 Clause #1 (by assumption #[]): Eq (∀ (Xx Xy : nat), Eq (ts Xx Xy) (ts Xy Xx)) True % 3.32/3.49 Clause #2 (by assumption #[]): Eq (Not (eq (fr (ts (num x) (num y)) (ts (den x) (den y))) (fr (ts (num y) (num x)) (ts (den y) (den x))))) True % 3.32/3.49 Clause #3 (by clausification #[0]): ∀ (a : frac), Eq (eq a a) True % 3.32/3.49 Clause #4 (by clausification #[1]): ∀ (a : nat), Eq (∀ (Xy : nat), Eq (ts a Xy) (ts Xy a)) True % 3.32/3.49 Clause #5 (by clausification #[4]): ∀ (a a_1 : nat), Eq (Eq (ts a a_1) (ts a_1 a)) True % 3.32/3.49 Clause #6 (by clausification #[5]): ∀ (a a_1 : nat), Eq (ts a a_1) (ts a_1 a) % 3.32/3.49 Clause #7 (by clausification #[2]): Eq (eq (fr (ts (num x) (num y)) (ts (den x) (den y))) (fr (ts (num y) (num x)) (ts (den y) (den x)))) False % 3.32/3.49 Clause #8 (by forward demodulation #[7, 6]): Eq (eq (fr (ts (num x) (num y)) (ts (den y) (den x))) (fr (ts (num y) (num x)) (ts (den y) (den x)))) False % 3.32/3.49 Clause #9 (by forward demodulation #[8, 6]): Eq (eq (fr (ts (num y) (num x)) (ts (den y) (den x))) (fr (ts (num y) (num x)) (ts (den y) (den x)))) False % 3.32/3.49 Clause #10 (by superposition #[9, 3]): Eq False True % 3.32/3.49 Clause #11 (by clausification #[10]): False % 3.32/3.49 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------