%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN071+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:07:07 PM UTC 2025 % Result : Theorem 3.44s 3.59s % Output : Proof 3.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN071+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.14 % Command : duper %s % 0.14/0.35 % Computer : n010.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 : Thu Oct 2 15:36:23 EDT 2025 % 0.14/0.35 % CPUTime : % 3.44/3.59 SZS status Theorem for theBenchmark.p % 3.44/3.59 SZS output start Proof for theBenchmark.p % 3.44/3.59 Clause #0 (by assumption #[]): Eq (Or (Eq a b) (Eq c d)) True % 3.44/3.59 Clause #1 (by assumption #[]): Eq (Or (Eq a c) (Eq b d)) True % 3.44/3.59 Clause #2 (by assumption #[]): Eq (Not (Or (Eq a d) (Eq b c))) True % 3.44/3.59 Clause #3 (by clausification #[1]): Or (Eq (Eq a c) True) (Eq (Eq b d) True) % 3.44/3.59 Clause #4 (by clausification #[3]): Or (Eq (Eq b d) True) (Eq a c) % 3.44/3.59 Clause #5 (by clausification #[4]): Or (Eq a c) (Eq b d) % 3.44/3.59 Clause #6 (by clausification #[0]): Or (Eq (Eq a b) True) (Eq (Eq c d) True) % 3.44/3.59 Clause #7 (by clausification #[6]): Or (Eq (Eq c d) True) (Eq a b) % 3.44/3.59 Clause #8 (by clausification #[7]): Or (Eq a b) (Eq c d) % 3.44/3.59 Clause #9 (by superposition #[8, 5]): Or (Eq c d) (Or (Eq b c) (Eq b d)) % 3.44/3.59 Clause #11 (by clausification #[2]): Eq (Or (Eq a d) (Eq b c)) False % 3.44/3.59 Clause #12 (by clausification #[11]): Eq (Eq b c) False % 3.44/3.59 Clause #13 (by clausification #[11]): Eq (Eq a d) False % 3.44/3.59 Clause #14 (by clausification #[12]): Ne b c % 3.44/3.59 Clause #15 (by backward contextual literal cutting #[14, 9]): Or (Eq c d) (Eq b d) % 3.44/3.59 Clause #16 (by clausification #[13]): Ne a d % 3.44/3.59 Clause #17 (by superposition #[16, 5]): Or (Eq b d) (Ne c d) % 3.44/3.59 Clause #18 (by superposition #[16, 8]): Or (Eq c d) (Ne b d) % 3.44/3.59 Clause #19 (by forward contextual literal cutting #[15, 17]): Eq b d % 3.44/3.59 Clause #22 (by backward demodulation #[19, 14]): Ne d c % 3.44/3.59 Clause #24 (by backward contextual literal cutting #[19, 18]): Eq c d % 3.44/3.59 Clause #27 (by forward demodulation #[22, 24]): Ne c c % 3.44/3.59 Clause #28 (by eliminate resolved literals #[27]): False % 3.44/3.59 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------