%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM781^3 : TPTP v9.2.0. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 07:57:19 PM UTC 2025 % Result : Theorem 3.48s 3.66s % Output : Proof 3.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM781^3 : TPTP v9.2.0. Released v5.1.0. % 0.03/0.13 % Command : duper %s % 0.14/0.35 % Computer : n012.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 08:31:53 EDT 2025 % 0.14/0.35 % CPUTime : % 3.48/3.66 SZS status Theorem for theBenchmark.p % 3.48/3.66 SZS output start Proof for theBenchmark.p % 3.48/3.66 Clause #0 (by assumption #[]): Eq (Not (Eq cY cX → Eq cX cY)) True % 3.48/3.66 Clause #1 (by clausification #[0]): Eq (Eq cY cX → Eq cX cY) False % 3.48/3.66 Clause #2 (by clausification #[1]): Eq (Eq cY cX) True % 3.48/3.66 Clause #3 (by clausification #[1]): Eq (Eq cX cY) False % 3.48/3.66 Clause #4 (by clausification #[2]): Eq cY cX % 3.48/3.66 Clause #5 (by clausification #[3]): Ne cX cY % 3.48/3.66 Clause #6 (by forward demodulation #[5, 4]): Ne cX cX % 3.48/3.66 Clause #7 (by eliminate resolved literals #[6]): False % 3.48/3.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------