%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN360^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 08:07:30 PM UTC 2025 % Result : Theorem 3.51s 3.73s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYN360^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.14 % Command : duper %s % 0.14/0.36 % Computer : n026.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Oct 2 15:29:08 EDT 2025 % 0.14/0.36 % CPUTime : % 3.51/3.73 SZS status Theorem for theBenchmark.p % 3.51/3.73 SZS output start Proof for theBenchmark.p % 3.51/3.73 Clause #0 (by assumption #[]): Eq % 3.51/3.73 (Not % 3.51/3.73 (And (∀ (Xx : Iota), (Exists fun Xy => c_less_ Xx Xy) → ∀ (Xy : Iota), cQ Xx Xy) % 3.51/3.73 (∀ (Xz : Iota), Exists fun Xy => c_less_ Xz Xy) → % 3.51/3.73 ∀ (Xy Xx : Iota), cQ Xx Xy)) % 3.51/3.73 True % 3.51/3.73 Clause #1 (by betaEtaReduce #[0]): Eq % 3.51/3.73 (Not % 3.51/3.73 (And (∀ (Xx : Iota), Exists (c_less_ Xx) → ∀ (Xy : Iota), cQ Xx Xy) (∀ (Xz : Iota), Exists (c_less_ Xz)) → % 3.51/3.73 ∀ (Xy Xx : Iota), cQ Xx Xy)) % 3.51/3.73 True % 3.51/3.73 Clause #2 (by clausification #[1]): Eq % 3.51/3.73 (And (∀ (Xx : Iota), Exists (c_less_ Xx) → ∀ (Xy : Iota), cQ Xx Xy) (∀ (Xz : Iota), Exists (c_less_ Xz)) → % 3.51/3.73 ∀ (Xy Xx : Iota), cQ Xx Xy) % 3.51/3.73 False % 3.51/3.73 Clause #3 (by clausification #[2]): Eq (And (∀ (Xx : Iota), Exists (c_less_ Xx) → ∀ (Xy : Iota), cQ Xx Xy) (∀ (Xz : Iota), Exists (c_less_ Xz))) True % 3.51/3.73 Clause #4 (by clausification #[2]): Eq (∀ (Xy Xx : Iota), cQ Xx Xy) False % 3.51/3.73 Clause #5 (by clausification #[3]): Eq (∀ (Xz : Iota), Exists (c_less_ Xz)) True % 3.51/3.73 Clause #6 (by clausification #[3]): Eq (∀ (Xx : Iota), Exists (c_less_ Xx) → ∀ (Xy : Iota), cQ Xx Xy) True % 3.51/3.73 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (Exists (c_less_ a)) True % 3.51/3.73 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (c_less_ a (skS.0 0 a a_1)) True % 3.51/3.73 Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (Not (∀ (Xx : Iota), cQ Xx (skS.0 1 a))) True % 3.51/3.73 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (Xx : Iota), cQ Xx (skS.0 1 a)) False % 3.51/3.73 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Not (cQ (skS.0 2 a a_1) (skS.0 1 a))) True % 3.51/3.73 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 2 a a_1) (skS.0 1 a)) False % 3.51/3.73 Clause #13 (by clausification #[6]): ∀ (a : Iota), Eq (Exists (c_less_ a) → ∀ (Xy : Iota), cQ a Xy) True % 3.51/3.73 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (Exists (c_less_ a)) False) (Eq (∀ (Xy : Iota), cQ a Xy) True) % 3.51/3.73 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xy : Iota), cQ a Xy) True) (Eq (c_less_ a a_1) False) % 3.51/3.73 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (c_less_ a a_1) False) (Eq (cQ a a_2) True) % 3.51/3.73 Clause #17 (by superposition #[16, 8]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) True) (Eq False True) % 3.51/3.73 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (cQ a a_1) True % 3.51/3.73 Clause #19 (by superposition #[18, 12]): Eq True False % 3.51/3.73 Clause #20 (by clausification #[19]): False % 3.51/3.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------