%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN989^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 08:08:23 PM UTC 2025 % Result : Theorem 4.07s 4.25s % Output : Proof 4.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN989^1 : TPTP v9.2.0. Released v3.7.0. % 0.07/0.14 % Command : duper %s % 0.15/0.35 % Computer : n031.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Thu Oct 2 15:18:08 EDT 2025 % 0.15/0.36 % CPUTime : % 4.07/4.25 SZS status Theorem for theBenchmark.p % 4.07/4.25 SZS output start Proof for theBenchmark.p % 4.07/4.25 Clause #0 (by assumption #[]): Eq (Not (∀ (X : Prop), Or X (Not X))) True % 4.07/4.25 Clause #1 (by clausification #[0]): Eq (∀ (X : Prop), Or X (Not X)) False % 4.07/4.25 Clause #2 (by clausification #[1]): ∀ (a : Prop), Eq (Not (Or (skS.0 0 a) (Not (skS.0 0 a)))) True % 4.07/4.25 Clause #3 (by clausification #[2]): ∀ (a : Prop), Eq (Or (skS.0 0 a) (Not (skS.0 0 a))) False % 4.07/4.25 Clause #4 (by clausification #[3]): ∀ (a : Prop), Eq (Not (skS.0 0 a)) False % 4.07/4.25 Clause #5 (by clausification #[3]): ∀ (a : Prop), Eq (skS.0 0 a) False % 4.07/4.25 Clause #6 (by clausification #[4]): ∀ (a : Prop), Eq (skS.0 0 a) True % 4.07/4.25 Clause #7 (by identity loobHoist #[6]): ∀ (a : Prop), Or (Eq (skS.0 0 True) True) (Eq a False) % 4.07/4.25 Clause #9 (by falseElim #[7]): Eq (skS.0 0 True) True % 4.07/4.25 Clause #10 (by identity loobHoist #[5]): ∀ (a : Prop), Or (Eq (skS.0 0 True) False) (Eq a False) % 4.07/4.25 Clause #12 (by superposition #[10, 9]): ∀ (a : Prop), Or (Eq a False) (Eq False True) % 4.07/4.25 Clause #13 (by clausification #[12]): ∀ (a : Prop), Eq a False % 4.07/4.25 Clause #15 (by falseElim #[13]): False % 4.07/4.25 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------