TSTP Solution File: CSR023+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 : Wed Aug 30 21:10:15 EDT 2023
% Result : Theorem 158.11s 158.29s
% Output : Proof 158.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n013.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 : Mon Aug 28 07:16:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 158.11/158.29 SZS status Theorem for theBenchmark.p
% 158.11/158.29 SZS output start Proof for theBenchmark.p
% 158.11/158.29 Clause #8 (by assumption #[]): Eq
% 158.11/158.29 (∀ (Event Time Fluent : Iota), And (happens Event Time) (initiates Event Fluent Time) → holdsAt Fluent (plus Time n1))
% 158.11/158.29 True
% 158.11/158.29 Clause #12 (by assumption #[]): Eq
% 158.11/158.29 (∀ (Event Fluent Time : Iota),
% 158.11/158.29 Iff (initiates Event Fluent Time)
% 158.11/158.29 (Or
% 158.11/158.29 (Or (And (And (Eq Event push) (Eq Fluent forwards)) (Not (happens pull Time)))
% 158.11/158.29 (And (And (Eq Event pull) (Eq Fluent backwards)) (Not (happens push Time))))
% 158.11/158.29 (And (And (Eq Event pull) (Eq Fluent spinning)) (happens push Time))))
% 158.11/158.29 True
% 158.11/158.29 Clause #15 (by assumption #[]): Eq
% 158.11/158.29 (∀ (Event Time : Iota),
% 158.11/158.29 Iff (happens Event Time)
% 158.11/158.29 (Or
% 158.11/158.29 (Or (Or (And (Eq Event push) (Eq Time n0)) (And (Eq Event pull) (Eq Time n1)))
% 158.11/158.29 (And (Eq Event pull) (Eq Time n2)))
% 158.11/158.29 (And (Eq Event push) (Eq Time n2))))
% 158.11/158.29 True
% 158.11/158.29 Clause #25 (by assumption #[]): Eq (Eq (plus n1 n2) n3) True
% 158.11/158.29 Clause #30 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (plus X Y) (plus Y X)) True
% 158.11/158.29 Clause #47 (by assumption #[]): Eq (Not (holdsAt spinning n3)) True
% 158.11/158.29 Clause #48 (by clausification #[47]): Eq (holdsAt spinning n3) False
% 158.11/158.29 Clause #98 (by clausification #[25]): Eq (plus n1 n2) n3
% 158.11/158.29 Clause #195 (by clausification #[8]): ∀ (a : Iota),
% 158.11/158.29 Eq (∀ (Time Fluent : Iota), And (happens a Time) (initiates a Fluent Time) → holdsAt Fluent (plus Time n1)) True
% 158.11/158.29 Clause #196 (by clausification #[195]): ∀ (a a_1 : Iota),
% 158.11/158.29 Eq (∀ (Fluent : Iota), And (happens a a_1) (initiates a Fluent a_1) → holdsAt Fluent (plus a_1 n1)) True
% 158.11/158.29 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
% 158.11/158.29 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)
% 158.11/158.29 Clause #199 (by clausification #[198]): ∀ (a a_1 a_2 : Iota),
% 158.11/158.29 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))
% 158.11/158.29 Clause #219 (by clausification #[30]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (plus a Y) (plus Y a)) True
% 158.11/158.29 Clause #220 (by clausification #[219]): ∀ (a a_1 : Iota), Eq (Eq (plus a a_1) (plus a_1 a)) True
% 158.11/158.29 Clause #221 (by clausification #[220]): ∀ (a a_1 : Iota), Eq (plus a a_1) (plus a_1 a)
% 158.11/158.29 Clause #224 (by clausification #[12]): ∀ (a : Iota),
% 158.11/158.29 Eq
% 158.11/158.29 (∀ (Fluent Time : Iota),
% 158.11/158.29 Iff (initiates a Fluent Time)
% 158.11/158.29 (Or
% 158.11/158.29 (Or (And (And (Eq a push) (Eq Fluent forwards)) (Not (happens pull Time)))
% 158.11/158.29 (And (And (Eq a pull) (Eq Fluent backwards)) (Not (happens push Time))))
% 158.11/158.29 (And (And (Eq a pull) (Eq Fluent spinning)) (happens push Time))))
% 158.11/158.29 True
% 158.11/158.29 Clause #225 (by clausification #[224]): ∀ (a a_1 : Iota),
% 158.11/158.29 Eq
% 158.11/158.29 (∀ (Time : Iota),
% 158.11/158.29 Iff (initiates a a_1 Time)
% 158.11/158.29 (Or
% 158.11/158.29 (Or (And (And (Eq a push) (Eq a_1 forwards)) (Not (happens pull Time)))
% 158.11/158.29 (And (And (Eq a pull) (Eq a_1 backwards)) (Not (happens push Time))))
% 158.11/158.29 (And (And (Eq a pull) (Eq a_1 spinning)) (happens push Time))))
% 158.11/158.29 True
% 158.11/158.29 Clause #226 (by clausification #[225]): ∀ (a a_1 a_2 : Iota),
% 158.11/158.29 Eq
% 158.11/158.29 (Iff (initiates a a_1 a_2)
% 158.11/158.29 (Or
% 158.11/158.29 (Or (And (And (Eq a push) (Eq a_1 forwards)) (Not (happens pull a_2)))
% 158.11/158.29 (And (And (Eq a pull) (Eq a_1 backwards)) (Not (happens push a_2))))
% 158.11/158.29 (And (And (Eq a pull) (Eq a_1 spinning)) (happens push a_2))))
% 158.11/158.29 True
% 158.11/158.29 Clause #227 (by clausification #[226]): ∀ (a a_1 a_2 : Iota),
% 158.11/158.29 Or (Eq (initiates a a_1 a_2) True)
% 158.11/158.29 (Eq
% 158.11/158.29 (Or
% 158.11/158.29 (Or (And (And (Eq a push) (Eq a_1 forwards)) (Not (happens pull a_2)))
% 158.11/158.29 (And (And (Eq a pull) (Eq a_1 backwards)) (Not (happens push a_2))))
% 158.11/158.29 (And (And (Eq a pull) (Eq a_1 spinning)) (happens push a_2)))
% 158.11/158.29 False)
% 158.11/158.29 Clause #229 (by clausification #[227]): ∀ (a a_1 a_2 : Iota),
% 158.11/158.29 Or (Eq (initiates a a_1 a_2) True) (Eq (And (And (Eq a pull) (Eq a_1 spinning)) (happens push a_2)) False)
% 158.11/158.29 Clause #231 (by clausification #[229]): ∀ (a a_1 a_2 : Iota),
% 158.11/158.29 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))
% 158.11/158.31 Clause #232 (by clausification #[231]): ∀ (a a_1 a_2 : Iota),
% 158.11/158.31 Or (Eq (initiates a a_1 a_2) True)
% 158.11/158.31 (Or (Eq (happens push a_2) False) (Or (Eq (Eq a pull) False) (Eq (Eq a_1 spinning) False)))
% 158.11/158.31 Clause #233 (by clausification #[232]): ∀ (a a_1 a_2 : Iota),
% 158.11/158.31 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)))
% 158.11/158.31 Clause #234 (by clausification #[233]): ∀ (a a_1 a_2 : Iota),
% 158.11/158.31 Or (Eq (initiates a a_1 a_2) True) (Or (Eq (happens push a_2) False) (Or (Ne a pull) (Ne a_1 spinning)))
% 158.11/158.31 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))
% 158.11/158.31 Clause #236 (by destructive equality resolution #[235]): ∀ (a : Iota), Or (Eq (initiates pull spinning a) True) (Eq (happens push a) False)
% 158.11/158.31 Clause #283 (by clausification #[15]): ∀ (a : Iota),
% 158.11/158.31 Eq
% 158.11/158.31 (∀ (Time : Iota),
% 158.11/158.31 Iff (happens a Time)
% 158.11/158.31 (Or (Or (Or (And (Eq a push) (Eq Time n0)) (And (Eq a pull) (Eq Time n1))) (And (Eq a pull) (Eq Time n2)))
% 158.11/158.31 (And (Eq a push) (Eq Time n2))))
% 158.11/158.31 True
% 158.11/158.31 Clause #284 (by clausification #[283]): ∀ (a a_1 : Iota),
% 158.11/158.31 Eq
% 158.11/158.31 (Iff (happens a a_1)
% 158.11/158.31 (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)))
% 158.11/158.31 (And (Eq a push) (Eq a_1 n2))))
% 158.11/158.31 True
% 158.11/158.31 Clause #285 (by clausification #[284]): ∀ (a a_1 : Iota),
% 158.11/158.31 Or (Eq (happens a a_1) True)
% 158.11/158.31 (Eq
% 158.11/158.31 (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)))
% 158.11/158.31 (And (Eq a push) (Eq a_1 n2)))
% 158.11/158.31 False)
% 158.11/158.31 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)
% 158.11/158.31 Clause #288 (by clausification #[285]): ∀ (a a_1 : Iota),
% 158.11/158.31 Or (Eq (happens a a_1) True)
% 158.11/158.31 (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)
% 158.11/158.31 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))
% 158.11/158.31 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))
% 158.11/158.31 Clause #291 (by clausification #[290]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Ne a push) (Ne a_1 n2))
% 158.11/158.31 Clause #292 (by destructive equality resolution #[291]): ∀ (a : Iota), Or (Eq (happens push a) True) (Ne a n2)
% 158.11/158.31 Clause #293 (by destructive equality resolution #[292]): Eq (happens push n2) True
% 158.11/158.31 Clause #294 (by superposition #[293, 236]): Or (Eq (initiates pull spinning n2) True) (Eq True False)
% 158.11/158.31 Clause #512 (by clausification #[294]): Eq (initiates pull spinning n2) True
% 158.11/158.31 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)
% 158.11/158.31 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))
% 158.11/158.31 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))
% 158.11/158.31 Clause #1175 (by clausification #[1174]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Ne a pull) (Ne a_1 n2))
% 158.11/158.31 Clause #1176 (by destructive equality resolution #[1175]): ∀ (a : Iota), Or (Eq (happens pull a) True) (Ne a n2)
% 158.11/158.31 Clause #1177 (by destructive equality resolution #[1176]): Eq (happens pull n2) True
% 158.11/158.31 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))
% 158.11/158.31 Clause #35693 (by clausification #[1178]): ∀ (a : Iota), Or (Eq (holdsAt a (plus n2 n1)) True) (Eq (initiates pull a n2) False)
% 158.11/158.31 Clause #35694 (by forward demodulation #[35693, 221]): ∀ (a : Iota), Or (Eq (holdsAt a (plus n1 n2)) True) (Eq (initiates pull a n2) False)
% 158.11/158.31 Clause #35695 (by forward demodulation #[35694, 98]): ∀ (a : Iota), Or (Eq (holdsAt a n3) True) (Eq (initiates pull a n2) False)
% 158.33/158.51 Clause #35696 (by superposition #[35695, 512]): Or (Eq (holdsAt spinning n3) True) (Eq False True)
% 158.33/158.51 Clause #35736 (by clausification #[35696]): Eq (holdsAt spinning n3) True
% 158.33/158.51 Clause #35737 (by superposition #[35736, 48]): Eq True False
% 158.33/158.51 Clause #35784 (by clausification #[35737]): False
% 158.33/158.51 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------