%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM683^1 : TPTP v9.2.0. Released v3.7.0. % 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 07:57:03 PM UTC 2025 % Result : Theorem 3.76s 3.92s % Output : Proof 3.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : NUM683^1 : TPTP v9.2.0. Released v3.7.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n018.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 : Fri Oct 3 08:27:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.76/3.92 SZS status Theorem for theBenchmark.p % 3.76/3.92 SZS output start Proof for theBenchmark.p % 3.76/3.92 Clause #0 (by assumption #[]): Eq (more (pl z x) (pl z y)) True % 3.76/3.92 Clause #1 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), more (pl Xx Xz) (pl Xy Xz) → more Xx Xy) True % 3.76/3.92 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy : nat), Eq (pl Xx Xy) (pl Xy Xx)) True % 3.76/3.92 Clause #3 (by assumption #[]): Eq (Not (more x y)) True % 3.76/3.92 Clause #4 (by clausification #[3]): Eq (more x y) False % 3.76/3.92 Clause #5 (by clausification #[1]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), more (pl a Xz) (pl Xy Xz) → more a Xy) True % 3.76/3.92 Clause #6 (by clausification #[5]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), more (pl a Xz) (pl a_1 Xz) → more a a_1) True % 3.76/3.92 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : nat), Eq (more (pl a a_1) (pl a_2 a_1) → more a a_2) True % 3.76/3.92 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : nat), Or (Eq (more (pl a a_1) (pl a_2 a_1)) False) (Eq (more a a_2) True) % 3.76/3.92 Clause #9 (by clausification #[2]): ∀ (a : nat), Eq (∀ (Xy : nat), Eq (pl a Xy) (pl Xy a)) True % 3.76/3.92 Clause #10 (by clausification #[9]): ∀ (a a_1 : nat), Eq (Eq (pl a a_1) (pl a_1 a)) True % 3.76/3.92 Clause #11 (by clausification #[10]): ∀ (a a_1 : nat), Eq (pl a a_1) (pl a_1 a) % 3.76/3.92 Clause #12 (by superposition #[11, 8]): ∀ (a a_1 a_2 : nat), Or (Eq (more (pl a a_1) (pl a_1 a_2)) False) (Eq (more a a_2) True) % 3.76/3.92 Clause #14 (by superposition #[12, 11]): ∀ (a a_1 a_2 : nat), Or (Eq (more (pl a a_1) (pl a a_2)) False) (Eq (more a_1 a_2) True) % 3.76/3.92 Clause #15 (by superposition #[14, 0]): Or (Eq (more x y) True) (Eq False True) % 3.76/3.92 Clause #16 (by clausification #[15]): Eq (more x y) True % 3.76/3.92 Clause #17 (by superposition #[16, 4]): Eq True False % 3.76/3.92 Clause #18 (by clausification #[17]): False % 3.76/3.92 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------