%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO214^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 08:08:45 PM UTC 2025 % Result : Theorem 3.56s 3.76s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO214^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n014.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 13:55:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.56/3.76 SZS status Theorem for theBenchmark.p % 3.56/3.76 SZS output start Proof for theBenchmark.p % 3.56/3.76 Clause #0 (by assumption #[]): Eq (Not (∀ (R S : Iota → Prop), Eq R S → ∀ (X : Iota), S X → R X)) True % 3.56/3.76 Clause #1 (by clausification #[0]): Eq (∀ (R S : Iota → Prop), Eq R S → ∀ (X : Iota), S X → R X) False % 3.56/3.76 Clause #2 (by clausification #[1]): ∀ (a : Iota → Prop), Eq (Not (∀ (S : Iota → Prop), Eq (skS.0 0 a) S → ∀ (X : Iota), S X → skS.0 0 a X)) True % 3.56/3.76 Clause #3 (by clausification #[2]): ∀ (a : Iota → Prop), Eq (∀ (S : Iota → Prop), Eq (skS.0 0 a) S → ∀ (X : Iota), S X → skS.0 0 a X) False % 3.56/3.76 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota → Prop), Eq (Not (Eq (skS.0 0 a) (skS.0 1 a a_1) → ∀ (X : Iota), skS.0 1 a a_1 X → skS.0 0 a X)) True % 3.56/3.76 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota → Prop), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1) → ∀ (X : Iota), skS.0 1 a a_1 X → skS.0 0 a X) False % 3.56/3.76 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota → Prop), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) True % 3.56/3.76 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota → Prop), Eq (∀ (X : Iota), skS.0 1 a a_1 X → skS.0 0 a X) False % 3.56/3.76 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota → Prop), Eq (skS.0 0 a) (skS.0 1 a a_1) % 3.56/3.76 Clause #9 (by argument congruence #[8]): ∀ (a : Iota → Prop) (a_1 : Iota) (a_2 : Iota → Prop), Eq (skS.0 0 a a_1) (skS.0 1 a a_2 a_1) % 3.56/3.76 Clause #10 (by clausification #[7]): ∀ (a a_1 : Iota → Prop) (a_2 : Iota), Eq (Not (skS.0 1 a a_1 (skS.0 2 a a_1 a_2) → skS.0 0 a (skS.0 2 a a_1 a_2))) True % 3.56/3.76 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota → Prop) (a_2 : Iota), Eq (skS.0 1 a a_1 (skS.0 2 a a_1 a_2) → skS.0 0 a (skS.0 2 a a_1 a_2)) False % 3.56/3.76 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota → Prop) (a_2 : Iota), Eq (skS.0 1 a a_1 (skS.0 2 a a_1 a_2)) True % 3.56/3.76 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota → Prop) (a_2 : Iota), Eq (skS.0 0 a (skS.0 2 a a_1 a_2)) False % 3.56/3.76 Clause #16 (by superposition #[9, 12]): ∀ (a a_1 : Iota → Prop) (a_2 : Iota), Eq (skS.0 0 a (skS.0 2 a a_1 a_2)) True % 3.56/3.76 Clause #17 (by superposition #[13, 16]): Eq True False % 3.56/3.76 Clause #20 (by clausification #[17]): False % 3.56/3.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------