%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU841^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 08:02:32 PM UTC 2025 % Result : Theorem 3.65s 3.87s % Output : Proof 3.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : SEU841^5 : TPTP v9.2.0. Released v4.0.0. % 0.09/0.13 % Command : duper %s % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Oct 3 04:38:08 EDT 2025 % 0.12/0.34 % CPUTime : % 3.65/3.87 SZS status Theorem for theBenchmark.p % 3.65/3.87 SZS output start Proof for theBenchmark.p % 3.65/3.87 Clause #0 (by assumption #[]): Eq (Not (∀ (S T U : a → Prop), And (Eq S T) (Eq T U) → Eq S U)) True % 3.65/3.87 Clause #1 (by clausification #[0]): Eq (∀ (S T U : a → Prop), And (Eq S T) (Eq T U) → Eq S U) False % 3.65/3.87 Clause #2 (by clausification #[1]): ∀ (a_1 : a → Prop), Eq (Not (∀ (T U : a → Prop), And (Eq (skS.0 0 a_1) T) (Eq T U) → Eq (skS.0 0 a_1) U)) True % 3.65/3.87 Clause #3 (by clausification #[2]): ∀ (a_1 : a → Prop), Eq (∀ (T U : a → Prop), And (Eq (skS.0 0 a_1) T) (Eq T U) → Eq (skS.0 0 a_1) U) False % 3.65/3.87 Clause #4 (by clausification #[3]): ∀ (a_1 a_2 : a → Prop), % 3.65/3.87 Eq (Not (∀ (U : a → Prop), And (Eq (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (Eq (skS.0 1 a_1 a_2) U) → Eq (skS.0 0 a_1) U)) % 3.65/3.87 True % 3.65/3.87 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 : a → Prop), % 3.65/3.87 Eq (∀ (U : a → Prop), And (Eq (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (Eq (skS.0 1 a_1 a_2) U) → Eq (skS.0 0 a_1) U) False % 3.65/3.87 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 a_3 : a → Prop), % 3.65/3.87 Eq % 3.65/3.87 (Not % 3.65/3.87 (And (Eq (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (Eq (skS.0 1 a_1 a_2) (skS.0 2 a_1 a_2 a_3)) → % 3.65/3.87 Eq (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3))) % 3.65/3.87 True % 3.65/3.87 Clause #7 (by clausification #[6]): ∀ (a_1 a_2 a_3 : a → Prop), % 3.65/3.87 Eq % 3.65/3.87 (And (Eq (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (Eq (skS.0 1 a_1 a_2) (skS.0 2 a_1 a_2 a_3)) → % 3.65/3.87 Eq (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3)) % 3.65/3.87 False % 3.65/3.87 Clause #8 (by clausification #[7]): ∀ (a_1 a_2 a_3 : a → Prop), % 3.65/3.87 Eq (And (Eq (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (Eq (skS.0 1 a_1 a_2) (skS.0 2 a_1 a_2 a_3))) True % 3.65/3.87 Clause #9 (by clausification #[7]): ∀ (a_1 a_2 a_3 : a → Prop), Eq (Eq (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3)) False % 3.65/3.87 Clause #10 (by clausification #[8]): ∀ (a_1 a_2 a_3 : a → Prop), Eq (Eq (skS.0 1 a_1 a_2) (skS.0 2 a_1 a_2 a_3)) True % 3.65/3.87 Clause #11 (by clausification #[8]): ∀ (a_1 a_2 : a → Prop), Eq (Eq (skS.0 0 a_1) (skS.0 1 a_1 a_2)) True % 3.65/3.87 Clause #12 (by clausification #[10]): ∀ (a_1 a_2 a_3 : a → Prop), Eq (skS.0 1 a_1 a_2) (skS.0 2 a_1 a_2 a_3) % 3.65/3.87 Clause #14 (by clausification #[11]): ∀ (a_1 a_2 : a → Prop), Eq (skS.0 0 a_1) (skS.0 1 a_1 a_2) % 3.65/3.87 Clause #15 (by backward demodulation #[14, 12]): ∀ (a_1 a_2 a_3 : a → Prop), Eq (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3) % 3.65/3.87 Clause #22 (by clausification #[9]): ∀ (a_1 a_2 a_3 : a → Prop), Ne (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3) % 3.65/3.87 Clause #23 (by forward demodulation #[22, 15]): ∀ (a_1 : a → Prop), Ne (skS.0 0 a_1) (skS.0 0 a_1) % 3.65/3.87 Clause #24 (by eliminate resolved literals #[23]): False % 3.65/3.87 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------