%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO090^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 3.47s 3.67s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYO090^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n008.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 13:34:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.47/3.67 SZS status Theorem for theBenchmark.p % 3.47/3.67 SZS output start Proof for theBenchmark.p % 3.47/3.67 Clause #0 (by assumption #[]): Eq % 3.47/3.67 (Not % 3.47/3.67 (Or % 3.47/3.67 (Or % 3.47/3.67 (Or % 3.47/3.67 (Not % 3.47/3.67 (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) % 3.47/3.67 (Not (And s t)))) % 3.47/3.67 (Not q)) % 3.47/3.67 (Not s)) % 3.47/3.67 (Not t) → % 3.47/3.67 Or % 3.47/3.67 (Not % 3.47/3.67 (And % 3.47/3.67 (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) % 3.47/3.67 q)) % 3.47/3.67 (Not (And s t)))) % 3.47/3.67 True % 3.47/3.67 Clause #1 (by clausification #[0]): Eq % 3.47/3.67 (Or % 3.47/3.67 (Or % 3.47/3.67 (Or % 3.47/3.67 (Not % 3.47/3.67 (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))) % 3.47/3.67 (Not q)) % 3.47/3.67 (Not s)) % 3.47/3.67 (Not t) → % 3.47/3.67 Or % 3.47/3.67 (Not % 3.47/3.67 (And (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) % 3.47/3.67 q)) % 3.47/3.67 (Not (And s t))) % 3.47/3.67 False % 3.47/3.67 Clause #2 (by clausification #[1]): Eq % 3.47/3.67 (Or % 3.47/3.67 (Or % 3.47/3.67 (Or % 3.47/3.67 (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))) % 3.47/3.67 (Not q)) % 3.47/3.67 (Not s)) % 3.47/3.67 (Not t)) % 3.47/3.67 True % 3.47/3.67 Clause #3 (by clausification #[1]): Eq % 3.47/3.67 (Or % 3.47/3.67 (Not % 3.47/3.67 (And (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) % 3.47/3.67 q)) % 3.47/3.67 (Not (And s t))) % 3.47/3.67 False % 3.47/3.67 Clause #4 (by clausification #[2]): Or % 3.47/3.67 (Eq % 3.47/3.67 (Or % 3.47/3.67 (Or % 3.47/3.67 (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))) % 3.47/3.67 (Not q)) % 3.47/3.67 (Not s)) % 3.47/3.67 True) % 3.47/3.67 (Eq (Not t) True) % 3.47/3.67 Clause #5 (by clausification #[4]): Or (Eq (Not t) True) % 3.47/3.67 (Or % 3.47/3.67 (Eq % 3.47/3.67 (Or % 3.47/3.67 (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))) % 3.47/3.67 (Not q)) % 3.47/3.67 True) % 3.47/3.67 (Eq (Not s) True)) % 3.47/3.67 Clause #6 (by clausification #[5]): Or % 3.47/3.67 (Eq % 3.47/3.67 (Or (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))) % 3.47/3.67 (Not q)) % 3.47/3.67 True) % 3.47/3.67 (Or (Eq (Not s) True) (Eq t False)) % 3.47/3.67 Clause #7 (by clausification #[6]): Or (Eq (Not s) True) % 3.47/3.67 (Or (Eq t False) % 3.47/3.67 (Or % 3.47/3.67 (Eq % 3.47/3.67 (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))) % 3.47/3.67 True) % 3.47/3.67 (Eq (Not q) True))) % 3.47/3.67 Clause #8 (by clausification #[7]): Or (Eq t False) % 3.47/3.67 (Or % 3.47/3.67 (Eq (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))) % 3.47/3.67 True) % 3.47/3.67 (Or (Eq (Not q) True) (Eq s False))) % 3.47/3.67 Clause #9 (by clausification #[8]): Or (Eq t False) % 3.47/3.67 (Or (Eq (Not q) True) % 3.47/3.67 (Or (Eq s False) % 3.47/3.67 (Eq (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) % 3.47/3.67 False))) % 3.47/3.67 Clause #10 (by clausification #[9]): Or (Eq t False) % 3.47/3.67 (Or (Eq s False) % 3.47/3.67 (Or % 3.47/3.67 (Eq (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) % 3.47/3.67 False) % 3.47/3.67 (Eq q False))) % 3.47/3.67 Clause #12 (by clausification #[10]): Or (Eq t False) % 3.47/3.67 (Or (Eq s False) % 3.47/3.67 (Or (Eq q False) (Eq (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) False))) % 3.47/3.67 Clause #16 (by clausification #[12]): Or (Eq t False) % 3.47/3.67 (Or (Eq s False) % 3.47/3.67 (Or (Eq q False) (Eq (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q) True))) % 3.47/3.67 Clause #18 (by clausification #[16]): Or (Eq t False) % 3.47/3.67 (Or (Eq s False) (Or (Eq q False) (Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) True))) % 3.47/3.67 Clause #19 (by clausification #[18]): Or (Eq t False) % 3.47/3.67 (Or (Eq s False) % 3.47/3.67 (Or (Eq q False) (Or (Eq (Not (And (Or (Not (And p q)) (Not (And s t))) q)) True) (Eq (Not (And s t)) True)))) % 3.47/3.67 Clause #20 (by clausification #[19]): Or (Eq t False) % 3.47/3.67 (Or (Eq s False) % 3.47/3.67 (Or (Eq q False) (Or (Eq (Not (And s t)) True) (Eq (And (Or (Not (And p q)) (Not (And s t))) q) False)))) % 3.47/3.67 Clause #21 (by clausification #[20]): Or (Eq t False) % 3.54/3.70 (Or (Eq s False) (Or (Eq q False) (Or (Eq (And (Or (Not (And p q)) (Not (And s t))) q) False) (Eq (And s t) False)))) % 3.54/3.70 Clause #22 (by clausification #[21]): Or (Eq t False) % 3.54/3.70 (Or (Eq s False) % 3.54/3.70 (Or (Eq q False) (Or (Eq (And s t) False) (Or (Eq (Or (Not (And p q)) (Not (And s t))) False) (Eq q False))))) % 3.54/3.70 Clause #23 (by clausification #[22]): Or (Eq t False) % 3.54/3.70 (Or (Eq s False) % 3.54/3.70 (Or (Eq q False) % 3.54/3.70 (Or (Eq (Or (Not (And p q)) (Not (And s t))) False) (Or (Eq q False) (Or (Eq s False) (Eq t False)))))) % 3.54/3.70 Clause #25 (by clausification #[23]): Or (Eq t False) % 3.54/3.70 (Or (Eq s False) (Or (Eq q False) (Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (Not (And p q)) False)))))) % 3.54/3.70 Clause #29 (by clausification #[3]): Eq (Not (And s t)) False % 3.54/3.70 Clause #30 (by clausification #[3]): Eq % 3.54/3.70 (Not % 3.54/3.70 (And (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) q)) % 3.54/3.70 False % 3.54/3.70 Clause #31 (by clausification #[29]): Eq (And s t) True % 3.54/3.70 Clause #32 (by clausification #[31]): Eq t True % 3.54/3.70 Clause #33 (by clausification #[31]): Eq s True % 3.54/3.70 Clause #34 (by clausification #[25]): Or (Eq t False) % 3.54/3.70 (Or (Eq s False) (Or (Eq q False) (Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (And p q) True)))))) % 3.54/3.70 Clause #36 (by clausification #[34]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq p True)))))) % 3.54/3.70 Clause #37 (by eliminate duplicate literals #[36]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Eq p True))) % 3.54/3.70 Clause #38 (by forward demodulation #[37, 32]): Or (Eq True False) (Or (Eq s False) (Or (Eq q False) (Eq p True))) % 3.54/3.70 Clause #39 (by clausification #[38]): Or (Eq s False) (Or (Eq q False) (Eq p True)) % 3.54/3.70 Clause #40 (by forward demodulation #[39, 33]): Or (Eq True False) (Or (Eq q False) (Eq p True)) % 3.54/3.70 Clause #41 (by clausification #[40]): Or (Eq q False) (Eq p True) % 3.54/3.70 Clause #42 (by clausification #[30]): Eq (And (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) q) % 3.54/3.70 True % 3.54/3.70 Clause #43 (by clausification #[42]): Eq q True % 3.54/3.70 Clause #44 (by clausification #[42]): Eq (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) True % 3.54/3.70 Clause #45 (by backward demodulation #[43, 41]): Or (Eq True False) (Eq p True) % 3.54/3.70 Clause #46 (by clausification #[45]): Eq p True % 3.54/3.70 Clause #47 (by clausification #[44]): Or (Eq (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) True) % 3.54/3.70 (Eq (Not (And s t)) True) % 3.54/3.70 Clause #48 (by clausification #[47]): Or (Eq (Not (And s t)) True) (Eq (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q) False) % 3.54/3.70 Clause #49 (by clausification #[48]): Or (Eq (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q) False) (Eq (And s t) False) % 3.54/3.70 Clause #50 (by clausification #[49]): Or (Eq (And s t) False) % 3.54/3.70 (Or (Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) False) (Eq q False)) % 3.54/3.70 Clause #51 (by clausification #[50]): Or (Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) False) % 3.54/3.70 (Or (Eq q False) (Or (Eq s False) (Eq t False))) % 3.54/3.70 Clause #53 (by clausification #[51]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (Not (And (Or (Not (And p q)) (Not (And s t))) q)) False))) % 3.54/3.70 Clause #57 (by clausification #[53]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (And (Or (Not (And p q)) (Not (And s t))) q) True))) % 3.54/3.70 Clause #59 (by clausification #[57]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (Or (Not (And p q)) (Not (And s t))) True))) % 3.54/3.70 Clause #60 (by clausification #[59]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq (Not (And p q)) True) (Eq (Not (And s t)) True)))) % 3.54/3.70 Clause #61 (by clausification #[60]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq (Not (And s t)) True) (Eq (And p q) False)))) % 3.54/3.70 Clause #62 (by clausification #[61]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq (And p q) False) (Eq (And s t) False)))) % 3.54/3.70 Clause #63 (by clausification #[62]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq (And s t) False) (Or (Eq p False) (Eq q False))))) % 3.54/3.71 Clause #64 (by clausification #[63]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq p False) (Or (Eq q False) (Or (Eq s False) (Eq t False)))))) % 3.54/3.71 Clause #65 (by eliminate duplicate literals #[64]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq p False))) % 3.54/3.71 Clause #66 (by forward demodulation #[65, 43]): Or (Eq True False) (Or (Eq s False) (Or (Eq t False) (Eq p False))) % 3.54/3.71 Clause #67 (by clausification #[66]): Or (Eq s False) (Or (Eq t False) (Eq p False)) % 3.54/3.71 Clause #68 (by forward demodulation #[67, 33]): Or (Eq True False) (Or (Eq t False) (Eq p False)) % 3.54/3.71 Clause #69 (by clausification #[68]): Or (Eq t False) (Eq p False) % 3.54/3.71 Clause #70 (by forward demodulation #[69, 32]): Or (Eq True False) (Eq p False) % 3.54/3.71 Clause #71 (by clausification #[70]): Eq p False % 3.54/3.71 Clause #72 (by superposition #[71, 46]): Eq False True % 3.54/3.71 Clause #73 (by clausification #[72]): False % 3.54/3.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------