%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO088^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 3.57s 3.75s % Output : Proof 3.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO088^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n022.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 14:01:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.57/3.75 SZS status Theorem for theBenchmark.p % 3.57/3.75 SZS output start Proof for theBenchmark.p % 3.57/3.75 Clause #0 (by assumption #[]): Eq % 3.57/3.75 (Not % 3.57/3.75 (Or (And p (Or (Or (Or (Not a) (Not b)) (Not c)) (Not d))) (s → t) → % 3.57/3.75 Or (And (Or (Not (And a b)) (Not (And c d))) p) (s → t))) % 3.57/3.75 True % 3.57/3.75 Clause #1 (by clausification #[0]): Eq % 3.57/3.75 (Or (And p (Or (Or (Or (Not a) (Not b)) (Not c)) (Not d))) (s → t) → % 3.57/3.75 Or (And (Or (Not (And a b)) (Not (And c d))) p) (s → t)) % 3.57/3.75 False % 3.57/3.75 Clause #2 (by clausification #[1]): Eq (Or (And p (Or (Or (Or (Not a) (Not b)) (Not c)) (Not d))) (s → t)) True % 3.57/3.75 Clause #3 (by clausification #[1]): Eq (Or (And (Or (Not (And a b)) (Not (And c d))) p) (s → t)) False % 3.57/3.75 Clause #4 (by clausification #[2]): Or (Eq (And p (Or (Or (Or (Not a) (Not b)) (Not c)) (Not d))) True) (Eq (s → t) True) % 3.57/3.75 Clause #5 (by clausification #[4]): Or (Eq (s → t) True) (Eq (Or (Or (Or (Not a) (Not b)) (Not c)) (Not d)) True) % 3.57/3.75 Clause #6 (by clausification #[4]): Or (Eq (s → t) True) (Eq p True) % 3.57/3.75 Clause #7 (by clausification #[5]): Or (Eq (Or (Or (Or (Not a) (Not b)) (Not c)) (Not d)) True) (Or (Eq s False) (Eq t True)) % 3.57/3.75 Clause #8 (by clausification #[7]): Or (Eq s False) (Or (Eq t True) (Or (Eq (Or (Or (Not a) (Not b)) (Not c)) True) (Eq (Not d) True))) % 3.57/3.75 Clause #9 (by clausification #[8]): Or (Eq s False) (Or (Eq t True) (Or (Eq (Not d) True) (Or (Eq (Or (Not a) (Not b)) True) (Eq (Not c) True)))) % 3.57/3.75 Clause #10 (by clausification #[9]): Or (Eq s False) (Or (Eq t True) (Or (Eq (Or (Not a) (Not b)) True) (Or (Eq (Not c) True) (Eq d False)))) % 3.57/3.75 Clause #11 (by clausification #[10]): Or (Eq s False) (Or (Eq t True) (Or (Eq (Not c) True) (Or (Eq d False) (Or (Eq (Not a) True) (Eq (Not b) True))))) % 3.57/3.75 Clause #12 (by clausification #[11]): Or (Eq s False) (Or (Eq t True) (Or (Eq d False) (Or (Eq (Not a) True) (Or (Eq (Not b) True) (Eq c False))))) % 3.57/3.75 Clause #13 (by clausification #[12]): Or (Eq s False) (Or (Eq t True) (Or (Eq d False) (Or (Eq (Not b) True) (Or (Eq c False) (Eq a False))))) % 3.57/3.75 Clause #14 (by clausification #[13]): Or (Eq s False) (Or (Eq t True) (Or (Eq d False) (Or (Eq c False) (Or (Eq a False) (Eq b False))))) % 3.57/3.75 Clause #15 (by clausification #[6]): Or (Eq p True) (Or (Eq s False) (Eq t True)) % 3.57/3.75 Clause #16 (by clausification #[3]): Eq (s → t) False % 3.57/3.75 Clause #17 (by clausification #[3]): Eq (And (Or (Not (And a b)) (Not (And c d))) p) False % 3.57/3.75 Clause #18 (by clausification #[16]): Eq s True % 3.57/3.75 Clause #19 (by clausification #[16]): Eq t False % 3.57/3.75 Clause #20 (by backward demodulation #[18, 14]): Or (Eq True False) (Or (Eq t True) (Or (Eq d False) (Or (Eq c False) (Or (Eq a False) (Eq b False))))) % 3.57/3.75 Clause #21 (by backward demodulation #[18, 15]): Or (Eq p True) (Or (Eq True False) (Eq t True)) % 3.57/3.75 Clause #22 (by clausification #[21]): Or (Eq p True) (Eq t True) % 3.57/3.75 Clause #23 (by superposition #[22, 19]): Or (Eq p True) (Eq True False) % 3.57/3.75 Clause #24 (by clausification #[17]): Or (Eq (Or (Not (And a b)) (Not (And c d))) False) (Eq p False) % 3.57/3.75 Clause #25 (by clausification #[24]): Or (Eq p False) (Eq (Not (And c d)) False) % 3.57/3.75 Clause #26 (by clausification #[24]): Or (Eq p False) (Eq (Not (And a b)) False) % 3.57/3.75 Clause #27 (by clausification #[25]): Or (Eq p False) (Eq (And c d) True) % 3.57/3.75 Clause #28 (by clausification #[27]): Or (Eq p False) (Eq d True) % 3.57/3.75 Clause #29 (by clausification #[27]): Or (Eq p False) (Eq c True) % 3.57/3.75 Clause #30 (by clausification #[23]): Eq p True % 3.57/3.75 Clause #32 (by superposition #[30, 28]): Or (Eq True False) (Eq d True) % 3.57/3.75 Clause #33 (by superposition #[30, 29]): Or (Eq True False) (Eq c True) % 3.57/3.75 Clause #34 (by clausification #[33]): Eq c True % 3.57/3.75 Clause #36 (by clausification #[32]): Eq d True % 3.57/3.75 Clause #37 (by clausification #[20]): Or (Eq t True) (Or (Eq d False) (Or (Eq c False) (Or (Eq a False) (Eq b False)))) % 3.57/3.75 Clause #38 (by forward demodulation #[37, 36]): Or (Eq t True) (Or (Eq True False) (Or (Eq c False) (Or (Eq a False) (Eq b False)))) % 3.57/3.75 Clause #39 (by clausification #[38]): Or (Eq t True) (Or (Eq c False) (Or (Eq a False) (Eq b False))) % 3.57/3.75 Clause #40 (by forward demodulation #[39, 34]): Or (Eq t True) (Or (Eq True False) (Or (Eq a False) (Eq b False))) % 3.57/3.75 Clause #41 (by clausification #[40]): Or (Eq t True) (Or (Eq a False) (Eq b False)) % 3.57/3.75 Clause #42 (by clausification #[26]): Or (Eq p False) (Eq (And a b) True) % 3.57/3.75 Clause #43 (by clausification #[42]): Or (Eq p False) (Eq b True) % 3.57/3.75 Clause #44 (by clausification #[42]): Or (Eq p False) (Eq a True) % 3.57/3.75 Clause #45 (by superposition #[43, 30]): Or (Eq b True) (Eq False True) % 3.57/3.75 Clause #46 (by clausification #[45]): Eq b True % 3.57/3.75 Clause #47 (by backward demodulation #[46, 41]): Or (Eq t True) (Or (Eq a False) (Eq True False)) % 3.57/3.75 Clause #48 (by superposition #[44, 30]): Or (Eq a True) (Eq False True) % 3.57/3.75 Clause #49 (by clausification #[48]): Eq a True % 3.57/3.75 Clause #50 (by clausification #[47]): Or (Eq t True) (Eq a False) % 3.57/3.75 Clause #51 (by forward demodulation #[50, 49]): Or (Eq t True) (Eq True False) % 3.57/3.75 Clause #52 (by clausification #[51]): Eq t True % 3.57/3.75 Clause #53 (by superposition #[52, 19]): Eq True False % 3.57/3.75 Clause #54 (by clausification #[53]): False % 3.57/3.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------