%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU956^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 08:02:41 PM UTC 2025 % Result : Theorem 3.58s 3.74s % Output : Proof 3.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU956^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.13/0.35 % Computer : n005.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 06:09:23 EDT 2025 % 0.13/0.35 % CPUTime : % 3.58/3.74 SZS status Theorem for theBenchmark.p % 3.58/3.74 SZS output start Proof for theBenchmark.p % 3.58/3.74 Clause #0 (by assumption #[]): Eq % 3.58/3.74 (Not % 3.58/3.74 ((∀ (R S : Iota → Prop), Eq R S → ∀ (X : Iota), S X → R X) → % 3.58/3.74 ∀ (Xx Xy : Iota), (Eq (fun Y => Eq Xx Y) fun Y => Eq Xy Y) → Eq Xx Xy)) % 3.58/3.74 True % 3.58/3.74 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (R S : Iota → Prop), Eq R S → ∀ (X : Iota), S X → R X) → ∀ (Xx Xy : Iota), Eq (Eq Xx) (Eq Xy) → Eq Xx Xy)) % 3.58/3.74 True % 3.58/3.74 Clause #2 (by clausification #[1]): Eq ((∀ (R S : Iota → Prop), Eq R S → ∀ (X : Iota), S X → R X) → ∀ (Xx Xy : Iota), Eq (Eq Xx) (Eq Xy) → Eq Xx Xy) False % 3.58/3.74 Clause #4 (by clausification #[2]): Eq (∀ (Xx Xy : Iota), Eq (Eq Xx) (Eq Xy) → Eq Xx Xy) False % 3.58/3.74 Clause #12 (by clausification #[4]): ∀ (a : Iota), Eq (Not (∀ (Xy : Iota), Eq (Eq (skS.0 0 a)) (Eq Xy) → Eq (skS.0 0 a) Xy)) True % 3.58/3.74 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Eq (Eq (skS.0 0 a)) (Eq Xy) → Eq (skS.0 0 a) Xy) False % 3.58/3.74 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Not (Eq (Eq (skS.0 0 a)) (Eq (skS.0 1 a a_1)) → Eq (skS.0 0 a) (skS.0 1 a a_1))) True % 3.58/3.74 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (Eq (Eq (skS.0 0 a)) (Eq (skS.0 1 a a_1)) → Eq (skS.0 0 a) (skS.0 1 a a_1)) False % 3.58/3.74 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Eq (Eq (skS.0 0 a)) (Eq (skS.0 1 a a_1))) True % 3.58/3.74 Clause #17 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) False % 3.58/3.74 Clause #18 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a)) (Eq (skS.0 1 a a_1)) % 3.58/3.74 Clause #19 (by argument congruence #[18]): ∀ (a a_1 a_2 : Iota), Eq (Eq (skS.0 0 a) a_1) (Eq (skS.0 1 a a_2) a_1) % 3.58/3.74 Clause #20 (by clausification #[17]): ∀ (a a_1 : Iota), Ne (skS.0 0 a) (skS.0 1 a a_1) % 3.58/3.74 Clause #23 (by eqHoist #[19]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq (skS.0 0 a) a_1) False) (Eq (skS.0 1 a a_2) a_1) % 3.58/3.74 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Or (Eq (skS.0 1 a a_1) a_2) (Ne (skS.0 0 a) a_2) % 3.58/3.74 Clause #25 (by destructive equality resolution #[24]): ∀ (a a_1 : Iota), Eq (skS.0 1 a a_1) (skS.0 0 a) % 3.58/3.74 Clause #26 (by forward contextual literal cutting #[25, 20]): False % 3.58/3.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------