%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO085^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 5.56s 5.76s % Output : Proof 5.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : SYO085^5 : TPTP v9.2.0. Released v4.0.0. % 0.05/0.11 % Command : duper %s % 0.10/0.31 % Computer : n005.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Fri Oct 3 12:56:38 EDT 2025 % 0.10/0.31 % CPUTime : % 5.56/5.76 SZS status Theorem for theBenchmark.p % 5.56/5.76 SZS output start Proof for theBenchmark.p % 5.56/5.76 Clause #0 (by assumption #[]): Eq (Not (Or (Or (Not (And c d)) (Not (And a b))) s → Or (Or s (Not (And a b))) (Not (And c d)))) True % 5.56/5.76 Clause #1 (by clausification #[0]): Eq (Or (Or (Not (And c d)) (Not (And a b))) s → Or (Or s (Not (And a b))) (Not (And c d))) False % 5.56/5.76 Clause #2 (by clausification #[1]): Eq (Or (Or (Not (And c d)) (Not (And a b))) s) True % 5.56/5.76 Clause #3 (by clausification #[1]): Eq (Or (Or s (Not (And a b))) (Not (And c d))) False % 5.56/5.76 Clause #4 (by clausification #[2]): Or (Eq (Or (Not (And c d)) (Not (And a b))) True) (Eq s True) % 5.56/5.76 Clause #5 (by clausification #[4]): Or (Eq s True) (Or (Eq (Not (And c d)) True) (Eq (Not (And a b)) True)) % 5.56/5.76 Clause #6 (by clausification #[5]): Or (Eq s True) (Or (Eq (Not (And a b)) True) (Eq (And c d) False)) % 5.56/5.76 Clause #7 (by clausification #[6]): Or (Eq s True) (Or (Eq (And c d) False) (Eq (And a b) False)) % 5.56/5.76 Clause #8 (by clausification #[7]): Or (Eq s True) (Or (Eq (And a b) False) (Or (Eq c False) (Eq d False))) % 5.56/5.76 Clause #9 (by clausification #[8]): Or (Eq s True) (Or (Eq c False) (Or (Eq d False) (Or (Eq a False) (Eq b False)))) % 5.56/5.76 Clause #10 (by clausification #[3]): Eq (Not (And c d)) False % 5.56/5.76 Clause #11 (by clausification #[3]): Eq (Or s (Not (And a b))) False % 5.56/5.76 Clause #12 (by clausification #[10]): Eq (And c d) True % 5.56/5.76 Clause #13 (by clausification #[12]): Eq d True % 5.56/5.76 Clause #14 (by clausification #[12]): Eq c True % 5.56/5.76 Clause #15 (by backward demodulation #[14, 9]): Or (Eq s True) (Or (Eq True False) (Or (Eq d False) (Or (Eq a False) (Eq b False)))) % 5.56/5.76 Clause #16 (by clausification #[11]): Eq (Not (And a b)) False % 5.56/5.76 Clause #17 (by clausification #[11]): Eq s False % 5.56/5.76 Clause #18 (by clausification #[16]): Eq (And a b) True % 5.56/5.76 Clause #19 (by clausification #[18]): Eq b True % 5.56/5.76 Clause #20 (by clausification #[18]): Eq a True % 5.56/5.76 Clause #21 (by clausification #[15]): Or (Eq s True) (Or (Eq d False) (Or (Eq a False) (Eq b False))) % 5.56/5.76 Clause #22 (by forward demodulation #[21, 20]): Or (Eq s True) (Or (Eq d False) (Or (Eq True False) (Eq b False))) % 5.56/5.76 Clause #23 (by clausification #[22]): Or (Eq s True) (Or (Eq d False) (Eq b False)) % 5.56/5.76 Clause #24 (by forward demodulation #[23, 19]): Or (Eq s True) (Or (Eq d False) (Eq True False)) % 5.56/5.76 Clause #25 (by clausification #[24]): Or (Eq s True) (Eq d False) % 5.56/5.76 Clause #26 (by superposition #[25, 13]): Or (Eq s True) (Eq False True) % 5.56/5.76 Clause #28 (by clausification #[26]): Eq s True % 5.56/5.76 Clause #29 (by superposition #[28, 17]): Eq True False % 5.56/5.76 Clause #30 (by clausification #[29]): False % 5.56/5.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------