%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:36:25 AM UTC 2026 % Result : Theorem 8.36s 8.67s % Output : Proof 8.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.05 % Command : duper %s % 0.13/0.38 % Computer : n006.cluster.edu % 0.13/0.38 % Model : x86_64 x86_64 % 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.38 % Memory : 8046.5625MB % 0.13/0.38 % OS : Linux 6.8.0-71-generic % 0.13/0.38 % CPULimit : 300 % 0.13/0.38 % WCLimit : 300 % 0.13/0.38 % DateTime : Fri Sep 4 23:01:17 UTC 2026 % 0.13/0.38 % CPUTime : % 8.36/8.67 SZS status Theorem for theBenchmark.p % 8.36/8.67 SZS output start Proof for theBenchmark.p % 8.36/8.67 Clause #0 (by assumption #[]): Eq (Not (Not (Exists fun X => Not (Or (Not (p1 X)) (p1 X))))) True % 8.36/8.67 Clause #1 (by clausification #[0]): Eq (Not (Exists fun X => Not (Or (Not (p1 X)) (p1 X)))) False % 8.36/8.67 Clause #2 (by clausification #[1]): Eq (Exists fun X => Not (Or (Not (p1 X)) (p1 X))) True % 8.36/8.67 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (Not (Or (Not (p1 (skS.0 0 a))) (p1 (skS.0 0 a)))) True % 8.36/8.67 Clause #4 (by clausification #[3]): ∀ (a : Iota), Eq (Or (Not (p1 (skS.0 0 a))) (p1 (skS.0 0 a))) False % 8.36/8.67 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (p1 (skS.0 0 a)) False % 8.36/8.67 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (Not (p1 (skS.0 0 a))) False % 8.36/8.67 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (p1 (skS.0 0 a)) True % 8.36/8.67 Clause #8 (by superposition #[7, 5]): Eq True False % 8.36/8.67 Clause #9 (by clausification #[8]): False % 8.36/8.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------