%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET583+3 : TPTP v9.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:00:10 PM UTC 2025 % Result : Theorem 3.74s 3.93s % Output : Proof 3.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.14 % Problem : SET583+3 : TPTP v9.2.0. Released v2.2.0. % 0.07/0.16 % Command : duper %s % 0.17/0.37 % Computer : n010.cluster.edu % 0.17/0.37 % Model : x86_64 x86_64 % 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.37 % Memory : 8042.1875MB % 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.37 % CPULimit : 300 % 0.17/0.37 % WCLimit : 300 % 0.17/0.37 % DateTime : Thu Oct 2 14:38:53 EDT 2025 % 0.17/0.37 % CPUTime : % 3.74/3.93 SZS status Theorem for theBenchmark.p % 3.74/3.93 SZS output start Proof for theBenchmark.p % 3.74/3.93 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), Iff (Eq B C) (And (subset B C) (subset C B))) True % 3.74/3.93 Clause #3 (by assumption #[]): Eq (Not (∀ (B C : Iota), And (subset B C) (subset C B) → Eq B C)) True % 3.74/3.93 Clause #5 (by clausification #[3]): Eq (∀ (B C : Iota), And (subset B C) (subset C B) → Eq B C) False % 3.74/3.93 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (Not (∀ (C : Iota), And (subset (skS.0 0 a) C) (subset C (skS.0 0 a)) → Eq (skS.0 0 a) C)) True % 3.74/3.93 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (C : Iota), And (subset (skS.0 0 a) C) (subset C (skS.0 0 a)) → Eq (skS.0 0 a) C) False % 3.74/3.93 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), % 3.74/3.93 Eq % 3.74/3.93 (Not % 3.74/3.93 (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 0 a)) → Eq (skS.0 0 a) (skS.0 1 a a_1))) % 3.74/3.93 True % 3.74/3.93 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), % 3.74/3.93 Eq (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 0 a)) → Eq (skS.0 0 a) (skS.0 1 a a_1)) % 3.74/3.93 False % 3.74/3.93 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 0 a))) True % 3.74/3.93 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) False % 3.74/3.93 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (subset (skS.0 1 a a_1) (skS.0 0 a)) True % 3.74/3.93 Clause #13 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (subset (skS.0 0 a) (skS.0 1 a a_1)) True % 3.74/3.93 Clause #27 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (Eq a C) (And (subset a C) (subset C a))) True % 3.74/3.93 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Iff (Eq a a_1) (And (subset a a_1) (subset a_1 a))) True % 3.74/3.93 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (Eq a a_1) True) (Eq (And (subset a a_1) (subset a_1 a)) False) % 3.74/3.93 Clause #31 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (And (subset a a_1) (subset a_1 a)) False) (Eq a a_1) % 3.74/3.93 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq a a_1) (Or (Eq (subset a a_1) False) (Eq (subset a_1 a) False)) % 3.74/3.93 Clause #33 (by superposition #[32, 12]): ∀ (a a_1 : Iota), % 3.74/3.93 Or (Eq (skS.0 1 a a_1) (skS.0 0 a)) (Or (Eq (subset (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq False True)) % 3.74/3.93 Clause #41 (by clausification #[11]): ∀ (a a_1 : Iota), Ne (skS.0 0 a) (skS.0 1 a a_1) % 3.74/3.93 Clause #48 (by clausification #[33]): ∀ (a a_1 : Iota), Or (Eq (skS.0 1 a a_1) (skS.0 0 a)) (Eq (subset (skS.0 0 a) (skS.0 1 a a_1)) False) % 3.74/3.93 Clause #49 (by forward contextual literal cutting #[48, 41]): ∀ (a a_1 : Iota), Eq (subset (skS.0 0 a) (skS.0 1 a a_1)) False % 3.74/3.93 Clause #50 (by superposition #[49, 13]): Eq False True % 3.74/3.93 Clause #51 (by clausification #[50]): False % 3.74/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------