%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO086^5 : TPTP v9.2.0. Released v4.0.0. % 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 08:08:34 PM UTC 2025 % Result : Theorem 5.20s 5.43s % Output : Proof 5.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.10 % Problem : SYO086^5 : TPTP v9.2.0. Released v4.0.0. % 0.09/0.11 % Command : duper %s % 0.10/0.32 % Computer : n031.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Fri Oct 3 13:35:38 EDT 2025 % 0.10/0.32 % CPUTime : % 5.20/5.43 SZS status Theorem for theBenchmark.p % 5.20/5.43 SZS output start Proof for theBenchmark.p % 5.20/5.43 Clause #0 (by assumption #[]): Eq (Not (And (Not cP) (Or (And cQ (Not cR)) (And (Not cQ) cR)) → Or (And cP cQ) (And (Not cP) (Not cQ)) → cR)) True % 5.20/5.43 Clause #1 (by clausification #[0]): Eq (And (Not cP) (Or (And cQ (Not cR)) (And (Not cQ) cR)) → Or (And cP cQ) (And (Not cP) (Not cQ)) → cR) False % 5.20/5.43 Clause #2 (by clausification #[1]): Eq (And (Not cP) (Or (And cQ (Not cR)) (And (Not cQ) cR))) True % 5.20/5.43 Clause #3 (by clausification #[1]): Eq (Or (And cP cQ) (And (Not cP) (Not cQ)) → cR) False % 5.20/5.43 Clause #4 (by clausification #[2]): Eq (Or (And cQ (Not cR)) (And (Not cQ) cR)) True % 5.20/5.43 Clause #5 (by clausification #[2]): Eq (Not cP) True % 5.20/5.43 Clause #6 (by clausification #[4]): Or (Eq (And cQ (Not cR)) True) (Eq (And (Not cQ) cR) True) % 5.20/5.43 Clause #8 (by clausification #[6]): Or (Eq (And (Not cQ) cR) True) (Eq cQ True) % 5.20/5.43 Clause #12 (by clausification #[5]): Eq cP False % 5.20/5.43 Clause #13 (by clausification #[3]): Eq (Or (And cP cQ) (And (Not cP) (Not cQ))) True % 5.20/5.43 Clause #14 (by clausification #[3]): Eq cR False % 5.20/5.43 Clause #15 (by clausification #[13]): Or (Eq (And cP cQ) True) (Eq (And (Not cP) (Not cQ)) True) % 5.20/5.43 Clause #17 (by clausification #[15]): Or (Eq (And (Not cP) (Not cQ)) True) (Eq cP True) % 5.20/5.43 Clause #22 (by clausification #[8]): Or (Eq cQ True) (Eq cR True) % 5.20/5.43 Clause #23 (by superposition #[22, 14]): Or (Eq cQ True) (Eq True False) % 5.20/5.43 Clause #24 (by clausification #[23]): Eq cQ True % 5.20/5.43 Clause #29 (by clausification #[17]): Or (Eq cP True) (Eq (Not cQ) True) % 5.20/5.43 Clause #31 (by clausification #[29]): Or (Eq cP True) (Eq cQ False) % 5.20/5.43 Clause #32 (by forward demodulation #[31, 24]): Or (Eq cP True) (Eq True False) % 5.20/5.43 Clause #33 (by clausification #[32]): Eq cP True % 5.20/5.43 Clause #34 (by superposition #[33, 12]): Eq True False % 5.20/5.43 Clause #35 (by clausification #[34]): False % 5.20/5.43 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------