%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL483+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:36:01 AM UTC 2026 % Result : Theorem 37.66s 37.99s % Output : Proof 37.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL483+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : duper %s % 0.09/0.35 % Computer : n014.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 10:29:57 UTC 2026 % 0.09/0.35 % CPUTime : % 37.66/37.99 SZS status Theorem for theBenchmark.p % 37.66/37.99 SZS output start Proof for theBenchmark.p % 37.66/37.99 Clause #2 (by assumption #[]): Eq (Iff modus_tollens (∀ (X Y : Iota), is_a_theorem (implies (implies (not Y) (not X)) (implies X Y)))) True % 37.66/37.99 Clause #23 (by assumption #[]): Eq (Iff r3 (∀ (P Q : Iota), is_a_theorem (implies (or P Q) (or Q P)))) True % 37.66/37.99 Clause #26 (by assumption #[]): Eq (op_or → ∀ (X Y : Iota), Eq (or X Y) (not (and (not X) (not Y)))) True % 37.66/37.99 Clause #28 (by assumption #[]): Eq (op_implies_and → ∀ (X Y : Iota), Eq (implies X Y) (not (and X (not Y)))) True % 37.66/37.99 Clause #29 (by assumption #[]): Eq (op_implies_or → ∀ (X Y : Iota), Eq (implies X Y) (or (not X) Y)) True % 37.66/37.99 Clause #31 (by assumption #[]): Eq op_implies_or True % 37.66/37.99 Clause #37 (by assumption #[]): Eq r3 True % 37.66/37.99 Clause #41 (by assumption #[]): Eq op_or True % 37.66/37.99 Clause #42 (by assumption #[]): Eq op_implies_and True % 37.66/37.99 Clause #43 (by assumption #[]): Eq (Not modus_tollens) True % 37.66/37.99 Clause #64 (by clausification #[43]): Eq modus_tollens False % 37.66/37.99 Clause #77 (by clausification #[2]): Or (Eq modus_tollens True) (Eq (∀ (X Y : Iota), is_a_theorem (implies (implies (not Y) (not X)) (implies X Y))) False) % 37.66/37.99 Clause #79 (by clausification #[77]): ∀ (a : Iota), % 37.66/37.99 Or (Eq modus_tollens True) % 37.66/37.99 (Eq (Not (∀ (Y : Iota), is_a_theorem (implies (implies (not Y) (not (skS.0 4 a))) (implies (skS.0 4 a) Y)))) True) % 37.66/37.99 Clause #80 (by clausification #[79]): ∀ (a : Iota), % 37.66/37.99 Or (Eq modus_tollens True) % 37.66/37.99 (Eq (∀ (Y : Iota), is_a_theorem (implies (implies (not Y) (not (skS.0 4 a))) (implies (skS.0 4 a) Y))) False) % 37.66/37.99 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), % 37.66/37.99 Or (Eq modus_tollens True) % 37.66/37.99 (Eq % 37.66/37.99 (Not % 37.66/37.99 (is_a_theorem % 37.66/37.99 (implies (implies (not (skS.0 5 a a_1)) (not (skS.0 4 a))) (implies (skS.0 4 a) (skS.0 5 a a_1))))) % 37.66/37.99 True) % 37.66/37.99 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota), % 37.66/37.99 Or (Eq modus_tollens True) % 37.66/37.99 (Eq (is_a_theorem (implies (implies (not (skS.0 5 a a_1)) (not (skS.0 4 a))) (implies (skS.0 4 a) (skS.0 5 a a_1)))) % 37.66/37.99 False) % 37.66/37.99 Clause #83 (by forward demodulation #[82, 64]): ∀ (a a_1 : Iota), % 37.66/37.99 Or (Eq False True) % 37.66/37.99 (Eq (is_a_theorem (implies (implies (not (skS.0 5 a a_1)) (not (skS.0 4 a))) (implies (skS.0 4 a) (skS.0 5 a a_1)))) % 37.66/37.99 False) % 37.66/37.99 Clause #84 (by clausification #[83]): ∀ (a a_1 : Iota), % 37.66/37.99 Eq (is_a_theorem (implies (implies (not (skS.0 5 a a_1)) (not (skS.0 4 a))) (implies (skS.0 4 a) (skS.0 5 a a_1)))) % 37.66/37.99 False % 37.66/37.99 Clause #223 (by clausification #[29]): Or (Eq op_implies_or False) (Eq (∀ (X Y : Iota), Eq (implies X Y) (or (not X) Y)) True) % 37.66/37.99 Clause #224 (by clausification #[223]): ∀ (a : Iota), Or (Eq op_implies_or False) (Eq (∀ (Y : Iota), Eq (implies a Y) (or (not a) Y)) True) % 37.66/37.99 Clause #225 (by clausification #[224]): ∀ (a a_1 : Iota), Or (Eq op_implies_or False) (Eq (Eq (implies a a_1) (or (not a) a_1)) True) % 37.66/37.99 Clause #226 (by clausification #[225]): ∀ (a a_1 : Iota), Or (Eq op_implies_or False) (Eq (implies a a_1) (or (not a) a_1)) % 37.66/37.99 Clause #227 (by forward demodulation #[226, 31]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (implies a a_1) (or (not a) a_1)) % 37.66/37.99 Clause #228 (by clausification #[227]): ∀ (a a_1 : Iota), Eq (implies a a_1) (or (not a) a_1) % 37.66/37.99 Clause #243 (by clausification #[23]): Or (Eq r3 False) (Eq (∀ (P Q : Iota), is_a_theorem (implies (or P Q) (or Q P))) True) % 37.66/37.99 Clause #249 (by clausification #[243]): ∀ (a : Iota), Or (Eq r3 False) (Eq (∀ (Q : Iota), is_a_theorem (implies (or a Q) (or Q a))) True) % 37.66/37.99 Clause #250 (by clausification #[249]): ∀ (a a_1 : Iota), Or (Eq r3 False) (Eq (is_a_theorem (implies (or a a_1) (or a_1 a))) True) % 37.66/37.99 Clause #251 (by forward demodulation #[250, 37]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies (or a a_1) (or a_1 a))) True) % 37.66/37.99 Clause #252 (by clausification #[251]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (or a a_1) (or a_1 a))) True % 37.66/37.99 Clause #254 (by superposition #[252, 228]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (or a (not a_1)) (implies a_1 a))) True % 37.66/37.99 Clause #268 (by clausification #[28]): Or (Eq op_implies_and False) (Eq (∀ (X Y : Iota), Eq (implies X Y) (not (and X (not Y)))) True) % 37.80/38.06 Clause #269 (by clausification #[268]): ∀ (a : Iota), Or (Eq op_implies_and False) (Eq (∀ (Y : Iota), Eq (implies a Y) (not (and a (not Y)))) True) % 37.80/38.06 Clause #270 (by clausification #[269]): ∀ (a a_1 : Iota), Or (Eq op_implies_and False) (Eq (Eq (implies a a_1) (not (and a (not a_1)))) True) % 37.80/38.06 Clause #271 (by clausification #[270]): ∀ (a a_1 : Iota), Or (Eq op_implies_and False) (Eq (implies a a_1) (not (and a (not a_1)))) % 37.80/38.06 Clause #272 (by forward demodulation #[271, 42]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (implies a a_1) (not (and a (not a_1)))) % 37.80/38.06 Clause #273 (by clausification #[272]): ∀ (a a_1 : Iota), Eq (implies a a_1) (not (and a (not a_1))) % 37.80/38.06 Clause #364 (by clausification #[26]): Or (Eq op_or False) (Eq (∀ (X Y : Iota), Eq (or X Y) (not (and (not X) (not Y)))) True) % 37.80/38.06 Clause #365 (by clausification #[364]): ∀ (a : Iota), Or (Eq op_or False) (Eq (∀ (Y : Iota), Eq (or a Y) (not (and (not a) (not Y)))) True) % 37.80/38.06 Clause #366 (by clausification #[365]): ∀ (a a_1 : Iota), Or (Eq op_or False) (Eq (Eq (or a a_1) (not (and (not a) (not a_1)))) True) % 37.80/38.06 Clause #367 (by clausification #[366]): ∀ (a a_1 : Iota), Or (Eq op_or False) (Eq (or a a_1) (not (and (not a) (not a_1)))) % 37.80/38.06 Clause #368 (by forward demodulation #[367, 41]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (or a a_1) (not (and (not a) (not a_1)))) % 37.80/38.06 Clause #369 (by clausification #[368]): ∀ (a a_1 : Iota), Eq (or a a_1) (not (and (not a) (not a_1))) % 37.80/38.06 Clause #370 (by superposition #[369, 273]): ∀ (a a_1 : Iota), Eq (implies (not a) a_1) (or a a_1) % 37.80/38.06 Clause #389 (by backward demodulation #[370, 84]): ∀ (a a_1 : Iota), % 37.80/38.06 Eq (is_a_theorem (implies (or (skS.0 5 a a_1) (not (skS.0 4 a))) (implies (skS.0 4 a) (skS.0 5 a a_1)))) False % 37.80/38.06 Clause #5619 (by superposition #[389, 254]): Eq False True % 37.80/38.06 Clause #5620 (by clausification #[5619]): False % 37.80/38.06 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------