%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO087^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 4.51s 4.70s % Output : Proof 4.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYO087^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.15 % Command : duper %s % 0.15/0.36 % Computer : n009.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Oct 3 12:50:23 EDT 2025 % 0.15/0.36 % CPUTime : % 4.51/4.70 SZS status Theorem for theBenchmark.p % 4.51/4.70 SZS output start Proof for theBenchmark.p % 4.51/4.70 Clause #0 (by assumption #[]): Eq % 4.51/4.70 (Not % 4.51/4.70 (Exists fun Xx => % 4.51/4.70 And (Not cP) (Or (And cQ (Not cR)) (And (Not cQ) cR)) → Or (And cP cQ) (And (Not cP) (Not cQ)) → cR)) % 4.51/4.70 True % 4.51/4.70 Clause #1 (by clausification #[0]): Eq % 4.51/4.70 (Exists fun Xx => And (Not cP) (Or (And cQ (Not cR)) (And (Not cQ) cR)) → Or (And cP cQ) (And (Not cP) (Not cQ)) → cR) % 4.51/4.70 False % 4.51/4.70 Clause #2 (by clausification #[1]): Iota → Eq (And (Not cP) (Or (And cQ (Not cR)) (And (Not cQ) cR)) → Or (And cP cQ) (And (Not cP) (Not cQ)) → cR) False % 4.51/4.70 Clause #3 (by clausification #[2]): Eq (And (Not cP) (Or (And cQ (Not cR)) (And (Not cQ) cR))) True % 4.51/4.70 Clause #4 (by clausification #[2]): Eq (Or (And cP cQ) (And (Not cP) (Not cQ)) → cR) False % 4.51/4.70 Clause #5 (by clausification #[3]): Eq (Or (And cQ (Not cR)) (And (Not cQ) cR)) True % 4.51/4.70 Clause #6 (by clausification #[3]): Eq (Not cP) True % 4.51/4.70 Clause #7 (by clausification #[5]): Or (Eq (And cQ (Not cR)) True) (Eq (And (Not cQ) cR) True) % 4.51/4.70 Clause #9 (by clausification #[7]): Or (Eq (And (Not cQ) cR) True) (Eq cQ True) % 4.51/4.70 Clause #13 (by clausification #[6]): Eq cP False % 4.51/4.70 Clause #14 (by clausification #[4]): Eq (Or (And cP cQ) (And (Not cP) (Not cQ))) True % 4.51/4.70 Clause #15 (by clausification #[4]): Eq cR False % 4.51/4.70 Clause #16 (by clausification #[14]): Or (Eq (And cP cQ) True) (Eq (And (Not cP) (Not cQ)) True) % 4.51/4.70 Clause #18 (by clausification #[16]): Or (Eq (And (Not cP) (Not cQ)) True) (Eq cP True) % 4.51/4.70 Clause #23 (by clausification #[9]): Or (Eq cQ True) (Eq cR True) % 4.51/4.70 Clause #24 (by superposition #[23, 15]): Or (Eq cQ True) (Eq True False) % 4.51/4.70 Clause #25 (by clausification #[24]): Eq cQ True % 4.51/4.70 Clause #30 (by clausification #[18]): Or (Eq cP True) (Eq (Not cQ) True) % 4.51/4.70 Clause #32 (by clausification #[30]): Or (Eq cP True) (Eq cQ False) % 4.51/4.70 Clause #33 (by forward demodulation #[32, 25]): Or (Eq cP True) (Eq True False) % 4.51/4.70 Clause #34 (by clausification #[33]): Eq cP True % 4.51/4.70 Clause #35 (by superposition #[34, 13]): Eq True False % 4.51/4.70 Clause #36 (by clausification #[35]): False % 4.51/4.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------