TSTP Solution File: GRP455-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP455-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n009.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 : 600s
% DateTime : Sat Jul 16 10:30:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP455-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 09:31:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 31290: Facts:
% 0.12/0.34 31290: Id : 2, {_}:
% 0.12/0.34 divide
% 0.12/0.34 (divide identity
% 0.12/0.34 (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4))))
% 0.12/0.34 ?4
% 0.12/0.34 =>=
% 0.12/0.34 ?3
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 31290: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 31290: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 31290: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 31290: Goal:
% 0.12/0.34 31290: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.19/0.34 Statistics :
% 0.19/0.34 Max weight : 22
% 0.19/0.34 Found proof, 0.009342s
% 0.19/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.34 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.19/0.35 Id : 2, {_}: divide (divide identity (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.35 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.19/0.35 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.19/0.35 Id : 24, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.19/0.35 Id : 26, {_}: multiply identity ?59 =>= inverse (inverse ?59) [59] by Super 24 with 4 at 3
% 0.19/0.35 Id : 25, {_}: divide (inverse (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.19/0.35 Id : 36, {_}: divide (inverse (divide ?2 (divide ?3 (divide (divide identity ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 25 with 5 at 1,1,2,2,1,1,2
% 0.19/0.35 Id : 37, {_}: divide (inverse (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 36 with 4 at 1,2,2,1,1,2
% 0.19/0.35 Id : 40, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.19/0.35 Id : 48, {_}: divide (inverse (divide identity (divide ?93 (divide identity ?94)))) ?94 =>= ?93 [94, 93] by Super 37 with 40 at 1,2,2,1,1,2
% 0.19/0.35 Id : 51, {_}: divide (inverse (inverse (divide ?93 (divide identity ?94)))) ?94 =>= ?93 [94, 93] by Demod 48 with 4 at 1,1,2
% 0.19/0.35 Id : 52, {_}: divide (inverse (inverse (divide ?93 (inverse ?94)))) ?94 =>= ?93 [94, 93] by Demod 51 with 4 at 2,1,1,1,2
% 0.19/0.35 Id : 53, {_}: divide (inverse (inverse (multiply ?93 ?94))) ?94 =>= ?93 [94, 93] by Demod 52 with 24 at 1,1,1,2
% 0.19/0.35 Id : 47, {_}: multiply ?91 identity =<= divide ?91 identity [91] by Super 24 with 40 at 2,3
% 0.19/0.35 Id : 173, {_}: multiply (inverse (inverse (multiply ?192 identity))) identity =>= ?192 [192] by Super 47 with 53 at 3
% 0.19/0.35 Id : 39, {_}: divide (inverse (divide ?79 identity)) ?80 =>= divide (inverse ?79) ?80 [80, 79] by Super 37 with 5 at 2,1,1,2
% 0.19/0.35 Id : 97, {_}: divide (inverse (multiply ?79 identity)) ?80 =>= divide (inverse ?79) ?80 [80, 79] by Demod 39 with 47 at 1,1,2
% 0.19/0.35 Id : 100, {_}: divide (inverse (divide ?129 (divide (inverse ?130) (divide (inverse ?129) ?131)))) ?131 =>= inverse (multiply ?130 identity) [131, 130, 129] by Super 37 with 97 at 2,1,1,2
% 0.19/0.35 Id : 113, {_}: inverse ?130 =<= inverse (multiply ?130 identity) [130] by Demod 100 with 37 at 2
% 0.19/0.35 Id : 185, {_}: multiply (inverse (inverse ?192)) identity =>= ?192 [192] by Demod 173 with 113 at 1,1,2
% 0.19/0.35 Id : 194, {_}: divide (inverse (inverse ?229)) identity =>= inverse (inverse ?229) [229] by Super 53 with 185 at 1,1,1,2
% 0.19/0.35 Id : 199, {_}: multiply (inverse (inverse ?229)) identity =>= inverse (inverse ?229) [229] by Demod 194 with 47 at 2
% 0.19/0.35 Id : 200, {_}: ?229 =<= inverse (inverse ?229) [229] by Demod 199 with 185 at 2
% 0.19/0.35 Id : 205, {_}: multiply identity ?59 =>= ?59 [59] by Demod 26 with 200 at 3
% 0.19/0.35 Id : 218, {_}: a2 === a2 [] by Demod 1 with 205 at 2
% 0.19/0.35 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.19/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.35 31293: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.011198 using nrkbo
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