%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO132^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 08:08:38 PM UTC 2025 % Result : Theorem 3.59s 3.76s % Output : Proof 3.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO132^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n006.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 14:06:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.59/3.76 SZS status Theorem for theBenchmark.p % 3.59/3.76 SZS output start Proof for theBenchmark.p % 3.59/3.76 Clause #0 (by assumption #[]): Eq (Not (And (And (cP cS) (cT cX)) (Eq cS cT) → And (cP cT) (cS cX))) True % 3.59/3.76 Clause #1 (by clausification #[0]): Eq (And (And (cP cS) (cT cX)) (Eq cS cT) → And (cP cT) (cS cX)) False % 3.59/3.76 Clause #2 (by clausification #[1]): Eq (And (And (cP cS) (cT cX)) (Eq cS cT)) True % 3.59/3.76 Clause #3 (by clausification #[1]): Eq (And (cP cT) (cS cX)) False % 3.59/3.76 Clause #4 (by clausification #[2]): Eq (Eq cS cT) True % 3.59/3.76 Clause #5 (by clausification #[2]): Eq (And (cP cS) (cT cX)) True % 3.59/3.76 Clause #6 (by clausification #[4]): Eq cS cT % 3.59/3.76 Clause #7 (by argument congruence #[6]): ∀ (a : Iota), Eq (cS a) (cT a) % 3.59/3.76 Clause #10 (by clausification #[5]): Eq (cT cX) True % 3.59/3.76 Clause #11 (by clausification #[5]): Eq (cP cS) True % 3.59/3.76 Clause #12 (by forward demodulation #[11, 6]): Eq (cP cT) True % 3.59/3.76 Clause #13 (by clausification #[3]): Or (Eq (cP cT) False) (Eq (cS cX) False) % 3.59/3.76 Clause #14 (by forward demodulation #[13, 7]): Or (Eq (cP cT) False) (Eq (cT cX) False) % 3.59/3.76 Clause #15 (by forward demodulation #[14, 10]): Or (Eq (cP cT) False) (Eq True False) % 3.59/3.76 Clause #16 (by clausification #[15]): Eq (cP cT) False % 3.59/3.76 Clause #17 (by superposition #[16, 12]): Eq False True % 3.59/3.76 Clause #19 (by clausification #[17]): False % 3.59/3.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------