TSTP Solution File: CSR021+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR021+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 166.15s 166.55s
% Output : Proof 166.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16 % Problem : CSR021+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.08/0.17 % Command : duper %s
% 0.11/0.37 % Computer : n012.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8042.1875MB
% 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Aug 28 08:59:10 EDT 2023
% 0.11/0.37 % CPUTime :
% 166.15/166.55 SZS status Theorem for theBenchmark.p
% 166.15/166.55 SZS output start Proof for theBenchmark.p
% 166.15/166.55 Clause #9 (by assumption #[]): Eq
% 166.15/166.55 (∀ (Event Time Fluent : Iota),
% 166.15/166.55 And (happens Event Time) (terminates Event Fluent Time) → Not (holdsAt Fluent (plus Time n1)))
% 166.15/166.55 True
% 166.15/166.55 Clause #13 (by assumption #[]): Eq
% 166.15/166.55 (∀ (Event Fluent Time : Iota),
% 166.15/166.55 Iff (terminates Event Fluent Time)
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or (And (And (Eq Event push) (Eq Fluent backwards)) (Not (happens pull Time)))
% 166.15/166.55 (And (And (Eq Event pull) (Eq Fluent forwards)) (Not (happens push Time))))
% 166.15/166.55 (And (And (Eq Event pull) (Eq Fluent forwards)) (happens push Time)))
% 166.15/166.55 (And (And (Eq Event pull) (Eq Fluent backwards)) (happens push Time)))
% 166.15/166.55 (And (And (Eq Event push) (Eq Fluent spinning)) (Not (happens pull Time))))
% 166.15/166.55 (And (And (Eq Event pull) (Eq Fluent spinning)) (Not (happens push Time)))))
% 166.15/166.55 True
% 166.15/166.55 Clause #15 (by assumption #[]): Eq
% 166.15/166.55 (∀ (Event Time : Iota),
% 166.15/166.55 Iff (happens Event Time)
% 166.15/166.55 (Or
% 166.15/166.55 (Or (Or (And (Eq Event push) (Eq Time n0)) (And (Eq Event pull) (Eq Time n1)))
% 166.15/166.55 (And (Eq Event pull) (Eq Time n2)))
% 166.15/166.55 (And (Eq Event push) (Eq Time n2))))
% 166.15/166.55 True
% 166.15/166.55 Clause #25 (by assumption #[]): Eq (Eq (plus n1 n2) n3) True
% 166.15/166.55 Clause #30 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (plus X Y) (plus Y X)) True
% 166.15/166.55 Clause #47 (by assumption #[]): Eq (Not (Not (holdsAt backwards n3))) True
% 166.15/166.55 Clause #65 (by clausification #[47]): Eq (Not (holdsAt backwards n3)) False
% 166.15/166.55 Clause #66 (by clausification #[65]): Eq (holdsAt backwards n3) True
% 166.15/166.55 Clause #99 (by clausification #[25]): Eq (plus n1 n2) n3
% 166.15/166.55 Clause #207 (by clausification #[9]): ∀ (a : Iota),
% 166.15/166.55 Eq (∀ (Time Fluent : Iota), And (happens a Time) (terminates a Fluent Time) → Not (holdsAt Fluent (plus Time n1)))
% 166.15/166.55 True
% 166.15/166.55 Clause #208 (by clausification #[207]): ∀ (a a_1 : Iota),
% 166.15/166.55 Eq (∀ (Fluent : Iota), And (happens a a_1) (terminates a Fluent a_1) → Not (holdsAt Fluent (plus a_1 n1))) True
% 166.15/166.55 Clause #209 (by clausification #[208]): ∀ (a a_1 a_2 : Iota), Eq (And (happens a a_1) (terminates a a_2 a_1) → Not (holdsAt a_2 (plus a_1 n1))) True
% 166.15/166.55 Clause #210 (by clausification #[209]): ∀ (a a_1 a_2 : Iota),
% 166.15/166.55 Or (Eq (And (happens a a_1) (terminates a a_2 a_1)) False) (Eq (Not (holdsAt a_2 (plus a_1 n1))) True)
% 166.15/166.55 Clause #211 (by clausification #[210]): ∀ (a a_1 a_2 : Iota),
% 166.15/166.55 Or (Eq (Not (holdsAt a (plus a_1 n1))) True) (Or (Eq (happens a_2 a_1) False) (Eq (terminates a_2 a a_1) False))
% 166.15/166.55 Clause #212 (by clausification #[211]): ∀ (a a_1 a_2 : Iota),
% 166.15/166.55 Or (Eq (happens a a_1) False) (Or (Eq (terminates a a_2 a_1) False) (Eq (holdsAt a_2 (plus a_1 n1)) False))
% 166.15/166.55 Clause #221 (by clausification #[30]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (plus a Y) (plus Y a)) True
% 166.15/166.55 Clause #222 (by clausification #[221]): ∀ (a a_1 : Iota), Eq (Eq (plus a a_1) (plus a_1 a)) True
% 166.15/166.55 Clause #223 (by clausification #[222]): ∀ (a a_1 : Iota), Eq (plus a a_1) (plus a_1 a)
% 166.15/166.55 Clause #262 (by clausification #[13]): ∀ (a : Iota),
% 166.15/166.55 Eq
% 166.15/166.55 (∀ (Fluent Time : Iota),
% 166.15/166.55 Iff (terminates a Fluent Time)
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or (And (And (Eq a push) (Eq Fluent backwards)) (Not (happens pull Time)))
% 166.15/166.55 (And (And (Eq a pull) (Eq Fluent forwards)) (Not (happens push Time))))
% 166.15/166.55 (And (And (Eq a pull) (Eq Fluent forwards)) (happens push Time)))
% 166.15/166.55 (And (And (Eq a pull) (Eq Fluent backwards)) (happens push Time)))
% 166.15/166.55 (And (And (Eq a push) (Eq Fluent spinning)) (Not (happens pull Time))))
% 166.15/166.55 (And (And (Eq a pull) (Eq Fluent spinning)) (Not (happens push Time)))))
% 166.15/166.55 True
% 166.15/166.55 Clause #263 (by clausification #[262]): ∀ (a a_1 : Iota),
% 166.15/166.55 Eq
% 166.15/166.55 (∀ (Time : Iota),
% 166.15/166.55 Iff (terminates a a_1 Time)
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or
% 166.15/166.55 (Or (And (And (Eq a push) (Eq a_1 backwards)) (Not (happens pull Time)))
% 166.15/166.55 (And (And (Eq a pull) (Eq a_1 forwards)) (Not (happens push Time))))
% 166.15/166.55 (And (And (Eq a pull) (Eq a_1 forwards)) (happens push Time)))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 backwards)) (happens push Time)))
% 166.15/166.58 (And (And (Eq a push) (Eq a_1 spinning)) (Not (happens pull Time))))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 spinning)) (Not (happens push Time)))))
% 166.15/166.58 True
% 166.15/166.58 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 : Iota),
% 166.15/166.58 Eq
% 166.15/166.58 (Iff (terminates a a_1 a_2)
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or (And (And (Eq a push) (Eq a_1 backwards)) (Not (happens pull a_2)))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 forwards)) (Not (happens push a_2))))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 forwards)) (happens push a_2)))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 backwards)) (happens push a_2)))
% 166.15/166.58 (And (And (Eq a push) (Eq a_1 spinning)) (Not (happens pull a_2))))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 spinning)) (Not (happens push a_2)))))
% 166.15/166.58 True
% 166.15/166.58 Clause #265 (by clausification #[264]): ∀ (a a_1 a_2 : Iota),
% 166.15/166.58 Or (Eq (terminates a a_1 a_2) True)
% 166.15/166.58 (Eq
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or (And (And (Eq a push) (Eq a_1 backwards)) (Not (happens pull a_2)))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 forwards)) (Not (happens push a_2))))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 forwards)) (happens push a_2)))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 backwards)) (happens push a_2)))
% 166.15/166.58 (And (And (Eq a push) (Eq a_1 spinning)) (Not (happens pull a_2))))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 spinning)) (Not (happens push a_2))))
% 166.15/166.58 False)
% 166.15/166.58 Clause #268 (by clausification #[265]): ∀ (a a_1 a_2 : Iota),
% 166.15/166.58 Or (Eq (terminates a a_1 a_2) True)
% 166.15/166.58 (Eq
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or (And (And (Eq a push) (Eq a_1 backwards)) (Not (happens pull a_2)))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 forwards)) (Not (happens push a_2))))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 forwards)) (happens push a_2)))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 backwards)) (happens push a_2)))
% 166.15/166.58 (And (And (Eq a push) (Eq a_1 spinning)) (Not (happens pull a_2))))
% 166.15/166.58 False)
% 166.15/166.58 Clause #285 (by clausification #[15]): ∀ (a : Iota),
% 166.15/166.58 Eq
% 166.15/166.58 (∀ (Time : Iota),
% 166.15/166.58 Iff (happens a Time)
% 166.15/166.58 (Or (Or (Or (And (Eq a push) (Eq Time n0)) (And (Eq a pull) (Eq Time n1))) (And (Eq a pull) (Eq Time n2)))
% 166.15/166.58 (And (Eq a push) (Eq Time n2))))
% 166.15/166.58 True
% 166.15/166.58 Clause #286 (by clausification #[285]): ∀ (a a_1 : Iota),
% 166.15/166.58 Eq
% 166.15/166.58 (Iff (happens a a_1)
% 166.15/166.58 (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)))
% 166.15/166.58 (And (Eq a push) (Eq a_1 n2))))
% 166.15/166.58 True
% 166.15/166.58 Clause #287 (by clausification #[286]): ∀ (a a_1 : Iota),
% 166.15/166.58 Or (Eq (happens a a_1) True)
% 166.15/166.58 (Eq
% 166.15/166.58 (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)))
% 166.15/166.58 (And (Eq a push) (Eq a_1 n2)))
% 166.15/166.58 False)
% 166.15/166.58 Clause #289 (by clausification #[287]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Eq (And (Eq a push) (Eq a_1 n2)) False)
% 166.15/166.58 Clause #290 (by clausification #[287]): ∀ (a a_1 : Iota),
% 166.15/166.58 Or (Eq (happens a a_1) True)
% 166.15/166.58 (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)
% 166.15/166.58 Clause #291 (by clausification #[289]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Eq (Eq a push) False) (Eq (Eq a_1 n2) False))
% 166.15/166.58 Clause #292 (by clausification #[291]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Eq (Eq a_1 n2) False) (Ne a push))
% 166.15/166.58 Clause #293 (by clausification #[292]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Ne a push) (Ne a_1 n2))
% 166.15/166.58 Clause #294 (by destructive equality resolution #[293]): ∀ (a : Iota), Or (Eq (happens push a) True) (Ne a n2)
% 166.15/166.58 Clause #295 (by destructive equality resolution #[294]): Eq (happens push n2) True
% 166.15/166.58 Clause #1000 (by clausification #[268]): ∀ (a a_1 a_2 : Iota),
% 166.15/166.58 Or (Eq (terminates a a_1 a_2) True)
% 166.15/166.58 (Eq
% 166.15/166.58 (Or
% 166.15/166.58 (Or
% 166.15/166.58 (Or (And (And (Eq a push) (Eq a_1 backwards)) (Not (happens pull a_2)))
% 166.15/166.58 (And (And (Eq a pull) (Eq a_1 forwards)) (Not (happens push a_2))))
% 166.54/166.80 (And (And (Eq a pull) (Eq a_1 forwards)) (happens push a_2)))
% 166.54/166.80 (And (And (Eq a pull) (Eq a_1 backwards)) (happens push a_2)))
% 166.54/166.80 False)
% 166.54/166.80 Clause #1131 (by clausification #[290]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Eq (And (Eq a pull) (Eq a_1 n2)) False)
% 166.54/166.80 Clause #1133 (by clausification #[1131]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Eq (Eq a pull) False) (Eq (Eq a_1 n2) False))
% 166.54/166.80 Clause #1134 (by clausification #[1133]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Eq (Eq a_1 n2) False) (Ne a pull))
% 166.54/166.80 Clause #1135 (by clausification #[1134]): ∀ (a a_1 : Iota), Or (Eq (happens a a_1) True) (Or (Ne a pull) (Ne a_1 n2))
% 166.54/166.80 Clause #1136 (by destructive equality resolution #[1135]): ∀ (a : Iota), Or (Eq (happens pull a) True) (Ne a n2)
% 166.54/166.80 Clause #1137 (by destructive equality resolution #[1136]): Eq (happens pull n2) True
% 166.54/166.80 Clause #1139 (by superposition #[1137, 212]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (terminates pull a n2) False) (Eq (holdsAt a (plus n2 n1)) False))
% 166.54/166.80 Clause #27655 (by clausification #[1000]): ∀ (a a_1 a_2 : Iota),
% 166.54/166.80 Or (Eq (terminates a a_1 a_2) True) (Eq (And (And (Eq a pull) (Eq a_1 backwards)) (happens push a_2)) False)
% 166.54/166.80 Clause #27657 (by clausification #[27655]): ∀ (a a_1 a_2 : Iota),
% 166.54/166.80 Or (Eq (terminates a a_1 a_2) True) (Or (Eq (And (Eq a pull) (Eq a_1 backwards)) False) (Eq (happens push a_2) False))
% 166.54/166.80 Clause #27658 (by clausification #[27657]): ∀ (a a_1 a_2 : Iota),
% 166.54/166.80 Or (Eq (terminates a a_1 a_2) True)
% 166.54/166.80 (Or (Eq (happens push a_2) False) (Or (Eq (Eq a pull) False) (Eq (Eq a_1 backwards) False)))
% 166.54/166.80 Clause #27659 (by clausification #[27658]): ∀ (a a_1 a_2 : Iota),
% 166.54/166.80 Or (Eq (terminates a a_1 a_2) True) (Or (Eq (happens push a_2) False) (Or (Eq (Eq a_1 backwards) False) (Ne a pull)))
% 166.54/166.80 Clause #27660 (by clausification #[27659]): ∀ (a a_1 a_2 : Iota),
% 166.54/166.80 Or (Eq (terminates a a_1 a_2) True) (Or (Eq (happens push a_2) False) (Or (Ne a pull) (Ne a_1 backwards)))
% 166.54/166.80 Clause #27661 (by destructive equality resolution #[27660]): ∀ (a a_1 : Iota), Or (Eq (terminates pull a a_1) True) (Or (Eq (happens push a_1) False) (Ne a backwards))
% 166.54/166.80 Clause #27662 (by destructive equality resolution #[27661]): ∀ (a : Iota), Or (Eq (terminates pull backwards a) True) (Eq (happens push a) False)
% 166.54/166.80 Clause #27663 (by superposition #[27662, 295]): Or (Eq (terminates pull backwards n2) True) (Eq False True)
% 166.54/166.80 Clause #27676 (by clausification #[27663]): Eq (terminates pull backwards n2) True
% 166.54/166.80 Clause #34420 (by clausification #[1139]): ∀ (a : Iota), Or (Eq (terminates pull a n2) False) (Eq (holdsAt a (plus n2 n1)) False)
% 166.54/166.80 Clause #34421 (by forward demodulation #[34420, 223]): ∀ (a : Iota), Or (Eq (terminates pull a n2) False) (Eq (holdsAt a (plus n1 n2)) False)
% 166.54/166.80 Clause #34422 (by forward demodulation #[34421, 99]): ∀ (a : Iota), Or (Eq (terminates pull a n2) False) (Eq (holdsAt a n3) False)
% 166.54/166.80 Clause #34423 (by superposition #[34422, 27676]): Or (Eq (holdsAt backwards n3) False) (Eq False True)
% 166.54/166.80 Clause #34461 (by clausification #[34423]): Eq (holdsAt backwards n3) False
% 166.54/166.80 Clause #34462 (by superposition #[34461, 66]): Eq False True
% 166.54/166.80 Clause #34499 (by clausification #[34462]): False
% 166.54/166.80 SZS output end Proof for theBenchmark.p
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