%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN080+1 : TPTP v9.2.0. Released v2.0.0. % 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 08:07:08 PM UTC 2025 % Result : Theorem 3.66s 3.86s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN080+1 : TPTP v9.2.0. Released v2.0.0. % 0.12/0.14 % Command : duper %s % 0.13/0.36 % Computer : n026.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Thu Oct 2 15:29:38 EDT 2025 % 0.13/0.36 % CPUTime : % 3.66/3.86 SZS status Theorem for theBenchmark.p % 3.66/3.86 SZS output start Proof for theBenchmark.p % 3.66/3.86 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (f X) (g Y)) True % 3.66/3.86 Clause #1 (by assumption #[]): Eq (Not (∀ (X Y : Iota), Eq (f (f X)) (f (g Y)))) True % 3.66/3.86 Clause #2 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (f a) (g Y)) True % 3.66/3.86 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota), Eq (Eq (f a) (g a_1)) True % 3.66/3.86 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (f a) (g a_1) % 3.66/3.86 Clause #6 (by superposition #[4, 4]): ∀ (a a_1 : Iota), Eq (f a) (f a_1) % 3.66/3.86 Clause #7 (by clausification #[1]): Eq (∀ (X Y : Iota), Eq (f (f X)) (f (g Y))) False % 3.66/3.86 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Eq (f (f (skS.0 0 a))) (f (g Y)))) True % 3.66/3.86 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (f (f (skS.0 0 a))) (f (g Y))) False % 3.66/3.86 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Not (Eq (f (f (skS.0 0 a))) (f (g (skS.0 1 a a_1))))) True % 3.66/3.86 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Eq (f (f (skS.0 0 a))) (f (g (skS.0 1 a a_1)))) False % 3.66/3.87 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Ne (f (f (skS.0 0 a))) (f (g (skS.0 1 a a_1))) % 3.66/3.87 Clause #13 (by forward contextual literal cutting #[12, 6]): False % 3.66/3.87 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------