TSTP Solution File: GRP458-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP458-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n015.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 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP458-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n015.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 : 600
% 0.13/0.34 % DateTime : Tue Jun 14 03:57:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 8093: Facts:
% 0.13/0.34 8093: Id : 2, {_}:
% 0.13/0.34 divide
% 0.13/0.34 (divide (divide ?2 ?2)
% 0.13/0.34 (divide ?2 (divide ?3 (divide (divide identity ?2) ?4)))) ?4
% 0.13/0.34 =>=
% 0.13/0.34 ?3
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 8093: Id : 3, {_}:
% 0.13/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.13/0.34 [7, 6] by multiply ?6 ?7
% 0.13/0.34 8093: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.13/0.34 8093: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.13/0.34 8093: Goal:
% 0.13/0.34 8093: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.35 Statistics :
% 0.13/0.35 Max weight : 22
% 0.13/0.35 Found proof, 0.009487s
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.35 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.13/0.35 Id : 2, {_}: divide (divide (divide ?2 ?2) (divide ?2 (divide ?3 (divide (divide identity ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.13/0.35 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.13/0.35 Id : 24, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.13/0.35 Id : 26, {_}: multiply identity ?59 =>= inverse (inverse ?59) [59] by Super 24 with 4 at 3
% 0.13/0.35 Id : 25, {_}: divide (divide (divide ?2 ?2) (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2,2,2,1,2
% 0.13/0.35 Id : 38, {_}: divide (divide identity (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 25 with 5 at 1,1,2
% 0.13/0.35 Id : 39, {_}: divide (inverse (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 38 with 4 at 1,2
% 0.13/0.35 Id : 42, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.13/0.35 Id : 50, {_}: divide (inverse (divide identity (divide ?93 (divide identity ?94)))) ?94 =>= ?93 [94, 93] by Super 39 with 42 at 1,2,2,1,1,2
% 0.13/0.35 Id : 53, {_}: divide (inverse (inverse (divide ?93 (divide identity ?94)))) ?94 =>= ?93 [94, 93] by Demod 50 with 4 at 1,1,2
% 0.13/0.35 Id : 54, {_}: divide (inverse (inverse (divide ?93 (inverse ?94)))) ?94 =>= ?93 [94, 93] by Demod 53 with 4 at 2,1,1,1,2
% 0.13/0.35 Id : 55, {_}: divide (inverse (inverse (multiply ?93 ?94))) ?94 =>= ?93 [94, 93] by Demod 54 with 24 at 1,1,1,2
% 0.13/0.35 Id : 49, {_}: multiply ?91 identity =<= divide ?91 identity [91] by Super 24 with 42 at 2,3
% 0.13/0.35 Id : 175, {_}: multiply (inverse (inverse (multiply ?192 identity))) identity =>= ?192 [192] by Super 49 with 55 at 3
% 0.13/0.35 Id : 41, {_}: divide (inverse (divide ?79 identity)) ?80 =>= divide (inverse ?79) ?80 [80, 79] by Super 39 with 5 at 2,1,1,2
% 0.13/0.35 Id : 99, {_}: divide (inverse (multiply ?79 identity)) ?80 =>= divide (inverse ?79) ?80 [80, 79] by Demod 41 with 49 at 1,1,2
% 0.13/0.35 Id : 102, {_}: divide (inverse (divide ?129 (divide (inverse ?130) (divide (inverse ?129) ?131)))) ?131 =>= inverse (multiply ?130 identity) [131, 130, 129] by Super 39 with 99 at 2,1,1,2
% 0.13/0.35 Id : 115, {_}: inverse ?130 =<= inverse (multiply ?130 identity) [130] by Demod 102 with 39 at 2
% 0.13/0.35 Id : 187, {_}: multiply (inverse (inverse ?192)) identity =>= ?192 [192] by Demod 175 with 115 at 1,1,2
% 0.13/0.35 Id : 196, {_}: divide (inverse (inverse ?229)) identity =>= inverse (inverse ?229) [229] by Super 55 with 187 at 1,1,1,2
% 0.13/0.35 Id : 201, {_}: multiply (inverse (inverse ?229)) identity =>= inverse (inverse ?229) [229] by Demod 196 with 49 at 2
% 0.13/0.35 Id : 202, {_}: ?229 =<= inverse (inverse ?229) [229] by Demod 201 with 187 at 2
% 0.13/0.35 Id : 207, {_}: multiply identity ?59 =>= ?59 [59] by Demod 26 with 202 at 3
% 0.13/0.35 Id : 220, {_}: a2 === a2 [] by Demod 1 with 207 at 2
% 0.13/0.35 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35 8096: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.01119 using nrkbo
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