%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO234^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 08:08:47 PM UTC 2025 % Result : Theorem 4.15s 4.35s % Output : Proof 4.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : SYO234^5 : TPTP v9.2.0. Released v4.0.0. % 0.04/0.15 % Command : duper %s % 0.15/0.37 % Computer : n015.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Fri Oct 3 13:32:38 EDT 2025 % 0.15/0.37 % CPUTime : % 4.15/4.35 SZS status Theorem for theBenchmark.p % 4.15/4.35 SZS output start Proof for theBenchmark.p % 4.15/4.35 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xu => Eq Xu fun Xx Xy => Or (cA Xx Xy) (cB Xy Xx))) True % 4.15/4.35 Clause #1 (by clausification #[0]): Eq (Exists fun Xu => Eq Xu fun Xx Xy => Or (cA Xx Xy) (cB Xy Xx)) False % 4.15/4.35 Clause #2 (by clausification #[1]): ∀ (a : c → d → Prop), Eq (Eq a fun Xx Xy => Or (cA Xx Xy) (cB Xy Xx)) False % 4.15/4.35 Clause #3 (by clausification #[2]): ∀ (a : c → d → Prop), Ne a fun Xx Xy => Or (cA Xx Xy) (cB Xy Xx) % 4.15/4.35 Clause #4 (by equality resolution #[3]): False % 4.15/4.35 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------