%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV047^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 08:02:46 PM UTC 2025 % Result : Theorem 3.56s 3.71s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SEV047^5 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n016.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 01:14:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.56/3.71 SZS status Theorem for theBenchmark.p % 3.56/3.71 SZS output start Proof for theBenchmark.p % 3.56/3.71 Clause #0 (by assumption #[]): Eq (Not (∀ (Xs : Iota → Iota → Prop) (Xx Xy : Iota), Xs Xx Xy → Xs Xx Xy)) True % 3.56/3.71 Clause #1 (by clausification #[0]): Eq (∀ (Xs : Iota → Iota → Prop) (Xx Xy : Iota), Xs Xx Xy → Xs Xx Xy) False % 3.56/3.71 Clause #2 (by clausification #[1]): ∀ (a : Iota → Iota → Prop), Eq (Not (∀ (Xx Xy : Iota), skS.0 0 a Xx Xy → skS.0 0 a Xx Xy)) True % 3.56/3.71 Clause #3 (by clausification #[2]): ∀ (a : Iota → Iota → Prop), Eq (∀ (Xx Xy : Iota), skS.0 0 a Xx Xy → skS.0 0 a Xx Xy) False % 3.56/3.71 Clause #4 (by clausification #[3]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 3.56/3.71 Eq (Not (∀ (Xy : Iota), skS.0 0 a (skS.0 1 a a_1) Xy → skS.0 0 a (skS.0 1 a a_1) Xy)) True % 3.56/3.71 Clause #5 (by clausification #[4]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 3.56/3.71 Eq (∀ (Xy : Iota), skS.0 0 a (skS.0 1 a a_1) Xy → skS.0 0 a (skS.0 1 a a_1) Xy) False % 3.56/3.71 Clause #6 (by clausification #[5]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.56/3.71 Eq (Not (skS.0 0 a (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → skS.0 0 a (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True % 3.56/3.71 Clause #7 (by clausification #[6]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.56/3.71 Eq (skS.0 0 a (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → skS.0 0 a (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False % 3.56/3.71 Clause #8 (by clausification #[7]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), Eq (skS.0 0 a (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True % 3.56/3.71 Clause #9 (by clausification #[7]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), Eq (skS.0 0 a (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False % 3.56/3.71 Clause #10 (by superposition #[9, 8]): Eq False True % 3.56/3.71 Clause #11 (by clausification #[10]): False % 3.56/3.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------