%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO089^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 3.51s 3.67s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO089^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n028.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 14:10:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.51/3.67 SZS status Theorem for theBenchmark.p % 3.51/3.67 SZS output start Proof for theBenchmark.p % 3.51/3.67 Clause #0 (by assumption #[]): Eq % 3.51/3.67 (Not % 3.51/3.67 (Or (Or (Or (Not (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t)))) (Not q)) (Not s)) % 3.51/3.67 (Not t) → % 3.51/3.67 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)))) % 3.51/3.67 True % 3.51/3.67 Clause #1 (by clausification #[0]): Eq % 3.51/3.67 (Or (Or (Or (Not (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t)))) (Not q)) (Not s)) (Not t) → % 3.51/3.67 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))) % 3.51/3.67 False % 3.51/3.67 Clause #2 (by clausification #[1]): Eq (Or (Or (Or (Not (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t)))) (Not q)) (Not s)) (Not t)) % 3.51/3.67 True % 3.51/3.67 Clause #3 (by clausification #[1]): 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))) False % 3.51/3.67 Clause #4 (by clausification #[2]): Or (Eq (Or (Or (Not (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t)))) (Not q)) (Not s)) True) % 3.51/3.67 (Eq (Not t) True) % 3.51/3.67 Clause #5 (by clausification #[4]): Or (Eq (Not t) True) % 3.51/3.67 (Or (Eq (Or (Not (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t)))) (Not q)) True) % 3.51/3.67 (Eq (Not s) True)) % 3.51/3.67 Clause #6 (by clausification #[5]): Or (Eq (Or (Not (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t)))) (Not q)) True) % 3.51/3.67 (Or (Eq (Not s) True) (Eq t False)) % 3.51/3.67 Clause #7 (by clausification #[6]): Or (Eq (Not s) True) % 3.51/3.67 (Or (Eq t False) % 3.51/3.67 (Or (Eq (Not (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t)))) True) (Eq (Not q) True))) % 3.51/3.67 Clause #8 (by clausification #[7]): Or (Eq t False) % 3.51/3.67 (Or (Eq (Not (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t)))) True) % 3.51/3.67 (Or (Eq (Not q) True) (Eq s False))) % 3.51/3.67 Clause #9 (by clausification #[8]): Or (Eq t False) % 3.51/3.67 (Or (Eq (Not q) True) % 3.51/3.67 (Or (Eq s False) (Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) False))) % 3.51/3.67 Clause #10 (by clausification #[9]): Or (Eq t False) % 3.51/3.67 (Or (Eq s False) (Or (Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) False) (Eq q False))) % 3.51/3.67 Clause #12 (by clausification #[10]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Eq (Not (And (Or (Not (And p q)) (Not (And s t))) q)) False))) % 3.51/3.67 Clause #16 (by clausification #[12]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Eq (And (Or (Not (And p q)) (Not (And s t))) q) True))) % 3.51/3.67 Clause #18 (by clausification #[16]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Eq (Or (Not (And p q)) (Not (And s t))) True))) % 3.51/3.67 Clause #19 (by clausification #[18]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Or (Eq (Not (And p q)) True) (Eq (Not (And s t)) True)))) % 3.51/3.67 Clause #20 (by clausification #[19]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Or (Eq (Not (And s t)) True) (Eq (And p q) False)))) % 3.51/3.67 Clause #21 (by clausification #[20]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Or (Eq (And p q) False) (Eq (And s t) False)))) % 3.51/3.67 Clause #22 (by clausification #[21]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Or (Eq (And s t) False) (Or (Eq p False) (Eq q False))))) % 3.51/3.67 Clause #23 (by clausification #[22]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Or (Eq p False) (Or (Eq q False) (Or (Eq s False) (Eq t False)))))) % 3.51/3.67 Clause #24 (by eliminate duplicate literals #[23]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Eq p False))) % 3.51/3.67 Clause #25 (by clausification #[3]): Eq (Not (And s t)) False % 3.51/3.67 Clause #26 (by clausification #[3]): Eq (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) False % 3.51/3.67 Clause #27 (by clausification #[25]): Eq (And s t) True % 3.51/3.67 Clause #28 (by clausification #[27]): Eq t True % 3.51/3.67 Clause #29 (by clausification #[27]): Eq s True % 3.51/3.67 Clause #30 (by backward demodulation #[28, 24]): Or (Eq True False) (Or (Eq s False) (Or (Eq q False) (Eq p False))) % 3.51/3.67 Clause #31 (by clausification #[26]): Eq (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q) True % 3.51/3.68 Clause #32 (by clausification #[31]): Eq q True % 3.51/3.68 Clause #33 (by clausification #[31]): Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) True % 3.51/3.68 Clause #34 (by clausification #[30]): Or (Eq s False) (Or (Eq q False) (Eq p False)) % 3.51/3.68 Clause #35 (by forward demodulation #[34, 29]): Or (Eq True False) (Or (Eq q False) (Eq p False)) % 3.51/3.68 Clause #36 (by clausification #[35]): Or (Eq q False) (Eq p False) % 3.51/3.68 Clause #37 (by forward demodulation #[36, 32]): Or (Eq True False) (Eq p False) % 3.51/3.68 Clause #38 (by clausification #[37]): Eq p False % 3.51/3.68 Clause #39 (by clausification #[33]): Or (Eq (Not (And (Or (Not (And p q)) (Not (And s t))) q)) True) (Eq (Not (And s t)) True) % 3.51/3.68 Clause #40 (by clausification #[39]): Or (Eq (Not (And s t)) True) (Eq (And (Or (Not (And p q)) (Not (And s t))) q) False) % 3.51/3.68 Clause #41 (by clausification #[40]): Or (Eq (And (Or (Not (And p q)) (Not (And s t))) q) False) (Eq (And s t) False) % 3.51/3.68 Clause #42 (by clausification #[41]): Or (Eq (And s t) False) (Or (Eq (Or (Not (And p q)) (Not (And s t))) False) (Eq q False)) % 3.51/3.68 Clause #43 (by clausification #[42]): Or (Eq (Or (Not (And p q)) (Not (And s t))) False) (Or (Eq q False) (Or (Eq s False) (Eq t False))) % 3.51/3.68 Clause #45 (by clausification #[43]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (Not (And p q)) False))) % 3.51/3.68 Clause #49 (by clausification #[45]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (And p q) True))) % 3.51/3.68 Clause #51 (by clausification #[49]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq p True))) % 3.51/3.68 Clause #52 (by forward demodulation #[51, 32]): Or (Eq True False) (Or (Eq s False) (Or (Eq t False) (Eq p True))) % 3.51/3.68 Clause #53 (by clausification #[52]): Or (Eq s False) (Or (Eq t False) (Eq p True)) % 3.51/3.68 Clause #54 (by forward demodulation #[53, 29]): Or (Eq True False) (Or (Eq t False) (Eq p True)) % 3.51/3.68 Clause #55 (by clausification #[54]): Or (Eq t False) (Eq p True) % 3.51/3.68 Clause #56 (by forward demodulation #[55, 28]): Or (Eq True False) (Eq p True) % 3.51/3.68 Clause #57 (by clausification #[56]): Eq p True % 3.51/3.68 Clause #58 (by superposition #[57, 38]): Eq True False % 3.51/3.68 Clause #59 (by clausification #[58]): False % 3.51/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------