%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR023+1 : TPTP v9.2.0. Bugfixed v3.1.0. % 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 07:46:02 PM UTC 2025 % Result : Theorem 152.26s 152.50s % Output : Proof 152.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : CSR023+1 : TPTP v9.2.0. Bugfixed v3.1.0. % 0.08/0.15 % Command : duper %s % 0.15/0.37 % Computer : n005.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Thu Oct 2 20:40:53 EDT 2025 % 0.15/0.37 % CPUTime : % 152.26/152.50 SZS status Theorem for theBenchmark.p % 152.26/152.50 SZS output start Proof for theBenchmark.p % 152.26/152.50 Clause #8 (by assumption #[]): Eq % 152.26/152.50 (∀ (Event Time Fluent : Iota), And (happens Event Time) (initiates Event Fluent Time) → holdsAt Fluent (plus Time n1)) % 152.26/152.50 True % 152.26/152.50 Clause #12 (by assumption #[]): Eq % 152.26/152.50 (∀ (Event Fluent Time : Iota), % 152.26/152.50 Iff (initiates Event Fluent Time) % 152.26/152.50 (Or % 152.26/152.50 (Or (And (And (Eq Event push) (Eq Fluent forwards)) (Not (happens pull Time))) % 152.26/152.50 (And (And (Eq Event pull) (Eq Fluent backwards)) (Not (happens push Time)))) % 152.26/152.50 (And (And (Eq Event pull) (Eq Fluent spinning)) (happens push Time)))) % 152.26/152.50 True % 152.26/152.50 Clause #15 (by assumption #[]): Eq % 152.26/152.50 (∀ (Event Time : Iota), % 152.26/152.50 Iff (happens Event Time) % 152.26/152.50 (Or % 152.26/152.50 (Or (Or (And (Eq Event push) (Eq Time n0)) (And (Eq Event pull) (Eq Time n1))) % 152.26/152.50 (And (Eq Event pull) (Eq Time n2))) % 152.26/152.50 (And (Eq Event push) (Eq Time n2)))) % 152.26/152.50 True % 152.26/152.50 Clause #25 (by assumption #[]): Eq (Eq (plus n1 n2) n3) True % 152.26/152.50 Clause #30 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (plus X Y) (plus Y X)) True % 152.26/152.50 Clause #47 (by assumption #[]): Eq (Not (holdsAt spinning n3)) True % 152.26/152.50 Clause #48 (by clausification #[47]): Eq (holdsAt spinning n3) False % 152.26/152.50 Clause #98 (by clausification #[25]): Eq (plus n1 n2) n3 % 152.26/152.50 Clause #195 (by clausification #[8]): ∀ (a : Iota), % 152.26/152.50 Eq (∀ (Time Fluent : Iota), And (happens a Time) (initiates a Fluent Time) → holdsAt Fluent (plus Time n1)) True % 152.26/152.50 Clause #196 (by clausification #[195]): ∀ (a a_1 : Iota), % 152.26/152.50 Eq (∀ (Fluent : Iota), And (happens a a_1) (initiates a Fluent a_1) → holdsAt Fluent (plus a_1 n1)) True % 152.26/152.50 Clause #197 (by clausification #[196]): ∀ (a a_1 a_2 : Iota), Eq (And (happens a a_1) (initiates a a_2 a_1) → holdsAt a_2 (plus a_1 n1)) True % 152.26/152.50 Clause #198 (by clausification #[197]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (happens a a_1) (initiates a a_2 a_1)) False) (Eq (holdsAt a_2 (plus a_1 n1)) True) % 152.26/152.50 Clause #199 (by clausification #[198]): ∀ (a a_1 a_2 : Iota), % 152.26/152.50 Or (Eq (holdsAt a (plus a_1 n1)) True) (Or (Eq (happens a_2 a_1) False) (Eq (initiates a_2 a a_1) False)) % 152.26/152.50 Clause #219 (by clausification #[30]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (plus a Y) (plus Y a)) True % 152.26/152.50 Clause #220 (by clausification #[219]): ∀ (a a_1 : Iota), Eq (Eq (plus a a_1) (plus a_1 a)) True % 152.26/152.50 Clause #221 (by clausification #[220]): ∀ (a a_1 : Iota), Eq (plus a a_1) (plus a_1 a) % 152.26/152.50 Clause #224 (by clausification #[12]): ∀ (a : Iota), % 152.26/152.50 Eq % 152.26/152.50 (∀ (Fluent Time : Iota), % 152.26/152.50 Iff (initiates a Fluent Time) % 152.26/152.50 (Or % 152.26/152.50 (Or (And (And (Eq a push) (Eq Fluent forwards)) (Not (happens pull Time))) % 152.26/152.50 (And (And (Eq a pull) (Eq Fluent backwards)) (Not (happens push Time)))) % 152.26/152.50 (And (And (Eq a pull) (Eq Fluent spinning)) (happens push Time)))) % 152.26/152.50 True % 152.26/152.50 Clause #225 (by clausification #[224]): ∀ (a a_1 : Iota), % 152.26/152.50 Eq % 152.26/152.50 (∀ (Time : Iota), % 152.26/152.50 Iff (initiates a a_1 Time) % 152.26/152.50 (Or % 152.26/152.50 (Or (And (And (Eq a push) (Eq a_1 forwards)) (Not (happens pull Time))) % 152.26/152.50 (And (And (Eq a pull) (Eq a_1 backwards)) (Not (happens push Time)))) % 152.26/152.50 (And (And (Eq a pull) (Eq a_1 spinning)) (happens push Time)))) % 152.26/152.50 True % 152.26/152.50 Clause #226 (by clausification #[225]): ∀ (a a_1 a_2 : Iota), % 152.26/152.50 Eq % 152.26/152.50 (Iff (initiates a a_1 a_2) % 152.26/152.50 (Or % 152.26/152.50 (Or (And (And (Eq a push) (Eq a_1 forwards)) (Not (happens pull a_2))) % 152.26/152.50 (And (And (Eq a pull) (Eq a_1 backwards)) (Not (happens push a_2)))) % 152.26/152.50 (And (And (Eq a pull) (Eq a_1 spinning)) (happens push a_2)))) % 152.26/152.50 True % 152.26/152.50 Clause #227 (by clausification #[226]): ∀ (a a_1 a_2 : Iota), % 152.26/152.50 Or (Eq (initiates a a_1 a_2) True) % 152.26/152.50 (Eq % 152.26/152.50 (Or % 152.26/152.50 (Or (And (And (Eq a push) (Eq a_1 forwards)) (Not (happens pull a_2))) % 152.26/152.50 (And (And (Eq a pull) (Eq a_1 backwards)) (Not (happens push a_2)))) % 152.26/152.50 (And (And (Eq a pull) (Eq a_1 spinning)) (happens push a_2))) % 152.26/152.50 False) % 152.26/152.50 Clause #229 (by clausification #[227]): ∀ (a a_1 a_2 : Iota), % 152.26/152.50 Or (Eq (initiates a a_1 a_2) True) (Eq (And (And (Eq a pull) (Eq a_1 spinning)) (happens push a_2)) False) % 152.26/152.50 Clause #231 (by clausification #[229]): ∀ (a a_1 a_2 : Iota), % 152.26/152.50 Or (Eq (initiates a a_1 a_2) True) (Or (Eq (And (Eq a pull) (Eq a_1 spinning)) False) (Eq (happens push a_2) False)) % 152.34/152.52 Clause #232 (by clausification #[231]): ∀ (a a_1 a_2 : Iota), % 152.34/152.52 Or (Eq (initiates a a_1 a_2) True) % 152.34/152.52 (Or (Eq (happens push a_2) False) (Or (Eq (Eq a pull) False) (Eq (Eq a_1 spinning) False))) % 152.34/152.52 Clause #233 (by clausification #[232]): ∀ (a a_1 a_2 : Iota), % 152.34/152.52 Or (Eq (initiates a a_1 a_2) True) (Or (Eq (happens push a_2) False) (Or (Eq (Eq a_1 spinning) False) (Ne a pull))) % 152.34/152.52 Clause #234 (by clausification #[233]): ∀ (a a_1 a_2 : Iota), % 152.34/152.52 Or (Eq (initiates a a_1 a_2) True) (Or (Eq (happens push a_2) False) (Or (Ne a pull) (Ne a_1 spinning))) % 152.34/152.52 Clause #235 (by destructive equality resolution #[234]): ∀ (a a_1 : Iota), Or (Eq (initiates pull a a_1) True) (Or (Eq (happens push a_1) False) (Ne a spinning)) % 152.34/152.52 Clause #236 (by destructive equality resolution #[235]): ∀ (a : Iota), Or (Eq (initiates pull spinning a) True) (Eq (happens push a) False) % 152.34/152.52 Clause #283 (by clausification #[15]): ∀ (a : Iota), % 152.34/152.52 Eq % 152.34/152.52 (∀ (Time : Iota), % 152.34/152.52 Iff (happens a Time) % 152.34/152.52 (Or (Or (Or (And (Eq a push) (Eq Time n0)) (And (Eq a pull) (Eq Time n1))) (And (Eq a pull) (Eq Time n2))) % 152.34/152.52 (And (Eq a push) (Eq Time n2)))) % 152.34/152.52 True % 152.34/152.52 Clause #284 (by clausification #[283]): ∀ (a a_1 : Iota), % 152.34/152.52 Eq % 152.34/152.52 (Iff (happens a a_1) % 152.34/152.52 (Or (Or (Or (And (Eq a push) (Eq a_1 n0)) (And (Eq a pull) (Eq a_1 n1))) (And (Eq a pull) (Eq a_1 n2))) % 152.34/152.52 (And (Eq a push) (Eq a_1 n2)))) % 152.34/152.52 True % 152.34/152.52 Clause #285 (by clausification #[284]): ∀ (a a_1 : Iota), % 152.34/152.52 Or (Eq (happens a a_1) True) % 152.34/152.52 (Eq % 152.34/152.52 (Or (Or (Or (And (Eq a push) (Eq a_1 n0)) (And (Eq a pull) (Eq a_1 n1))) (And (Eq a pull) (Eq a_1 n2))) % 152.34/152.52 (And (Eq a push) (Eq a_1 n2))) % 152.34/152.52 False) % 152.34/152.52 Clause #287 (by clausification #[285]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Eq (And (Eq a push) (Eq a_1 n2)) False) % 152.34/152.52 Clause #288 (by clausification #[285]): ∀ (a a_1 : Iota), % 152.34/152.52 Or (Eq (happens a a_1) True) % 152.34/152.52 (Eq (Or (Or (And (Eq a push) (Eq a_1 n0)) (And (Eq a pull) (Eq a_1 n1))) (And (Eq a pull) (Eq a_1 n2))) False) % 152.34/152.52 Clause #289 (by clausification #[287]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Eq (Eq a push) False) (Eq (Eq a_1 n2) False)) % 152.34/152.52 Clause #290 (by clausification #[289]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Eq (Eq a_1 n2) False) (Ne a push)) % 152.34/152.52 Clause #291 (by clausification #[290]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Ne a push) (Ne a_1 n2)) % 152.34/152.52 Clause #292 (by destructive equality resolution #[291]): ∀ (a : Iota), Or (Eq (happens push a) True) (Ne a n2) % 152.34/152.52 Clause #293 (by destructive equality resolution #[292]): Eq (happens push n2) True % 152.34/152.52 Clause #294 (by superposition #[293, 236]): Or (Eq (initiates pull spinning n2) True) (Eq True False) % 152.34/152.52 Clause #512 (by clausification #[294]): Eq (initiates pull spinning n2) True % 152.34/152.52 Clause #1171 (by clausification #[288]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Eq (And (Eq a pull) (Eq a_1 n2)) False) % 152.34/152.52 Clause #1173 (by clausification #[1171]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Eq (Eq a pull) False) (Eq (Eq a_1 n2) False)) % 152.34/152.52 Clause #1174 (by clausification #[1173]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Eq (Eq a_1 n2) False) (Ne a pull)) % 152.34/152.52 Clause #1175 (by clausification #[1174]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Ne a pull) (Ne a_1 n2)) % 152.34/152.52 Clause #1176 (by destructive equality resolution #[1175]): ∀ (a : Iota), Or (Eq (happens pull a) True) (Ne a n2) % 152.34/152.52 Clause #1177 (by destructive equality resolution #[1176]): Eq (happens pull n2) True % 152.34/152.52 Clause #1178 (by superposition #[1177, 199]): ∀ (a : Iota), Or (Eq (holdsAt a (plus n2 n1)) True) (Or (Eq True False) (Eq (initiates pull a n2) False)) % 152.34/152.52 Clause #35693 (by clausification #[1178]): ∀ (a : Iota), Or (Eq (holdsAt a (plus n2 n1)) True) (Eq (initiates pull a n2) False) % 152.34/152.52 Clause #35694 (by forward demodulation #[35693, 221]): ∀ (a : Iota), Or (Eq (holdsAt a (plus n1 n2)) True) (Eq (initiates pull a n2) False) % 152.34/152.52 Clause #35695 (by forward demodulation #[35694, 98]): ∀ (a : Iota), Or (Eq (holdsAt a n3) True) (Eq (initiates pull a n2) False) % 152.52/152.73 Clause #35696 (by superposition #[35695, 512]): Or (Eq (holdsAt spinning n3) True) (Eq False True) % 152.52/152.73 Clause #35736 (by clausification #[35696]): Eq (holdsAt spinning n3) True % 152.52/152.73 Clause #35737 (by superposition #[35736, 48]): Eq True False % 152.52/152.73 Clause #35784 (by clausification #[35737]): False % 152.52/152.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------