TSTP Solution File: GRP548-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %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 : 600s
% DateTime : Sat Jul 16 10:30:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% 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
% 0.03/0.12 % Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 09:23:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 6436: Facts:
% 0.12/0.34 6436: Id : 2, {_}:
% 0.12/0.34 divide (divide identity (divide ?2 ?3)) (divide (divide ?3 ?4) ?2)
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 6436: 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 6436: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 6436: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 6436: Goal:
% 0.12/0.34 6436: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.19/0.42 Statistics :
% 0.19/0.42 Max weight : 16
% 0.19/0.42 Found proof, 0.078925s
% 0.19/0.42 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.42 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.42 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.19/0.42 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.19/0.42 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.19/0.42 Id : 2, {_}: divide (divide identity (divide ?2 ?3)) (divide (divide ?3 ?4) ?2) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.42 Id : 19, {_}: divide (inverse (divide ?2 ?3)) (divide (divide ?3 ?4) ?2) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.19/0.42 Id : 26, {_}: divide (inverse (divide ?71 ?72)) (divide identity ?71) =>= ?72 [72, 71] by Super 19 with 5 at 1,2,2
% 0.19/0.42 Id : 35, {_}: divide (inverse (divide ?71 ?72)) (inverse ?71) =>= ?72 [72, 71] by Demod 26 with 4 at 2,2
% 0.19/0.42 Id : 18, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.19/0.42 Id : 79, {_}: multiply (inverse (divide ?118 ?119)) ?118 =>= ?119 [119, 118] by Demod 35 with 18 at 2
% 0.19/0.42 Id : 80, {_}: multiply (inverse ?121) (inverse (divide ?122 ?123)) =>= divide (divide ?123 ?121) ?122 [123, 122, 121] by Super 79 with 19 at 1,1,2
% 0.19/0.42 Id : 82, {_}: multiply (inverse identity) ?127 =>= ?127 [127] by Super 79 with 5 at 1,1,2
% 0.19/0.42 Id : 30, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.19/0.42 Id : 86, {_}: multiply identity ?127 =>= ?127 [127] by Demod 82 with 30 at 1,2
% 0.19/0.42 Id : 20, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 18 with 4 at 3
% 0.19/0.42 Id : 87, {_}: inverse (inverse ?127) =>= ?127 [127] by Demod 86 with 20 at 2
% 0.19/0.42 Id : 89, {_}: multiply ?136 (inverse ?137) =>= divide ?136 ?137 [137, 136] by Super 18 with 87 at 2,3
% 0.19/0.42 Id : 233, {_}: divide (inverse ?312) (divide ?313 ?314) =>= divide (divide ?314 ?312) ?313 [314, 313, 312] by Demod 80 with 89 at 2
% 0.19/0.42 Id : 237, {_}: divide (inverse ?330) (inverse ?331) =<= divide (divide ?331 ?330) identity [331, 330] by Super 233 with 4 at 2,2
% 0.19/0.42 Id : 251, {_}: multiply (inverse ?330) ?331 =<= divide (divide ?331 ?330) identity [331, 330] by Demod 237 with 18 at 2
% 0.19/0.42 Id : 37, {_}: multiply ?89 identity =<= divide ?89 identity [89] by Super 18 with 30 at 2,3
% 0.19/0.42 Id : 81, {_}: multiply (inverse (inverse ?125)) identity =>= ?125 [125] by Super 79 with 4 at 1,1,2
% 0.19/0.42 Id : 96, {_}: multiply ?125 identity =>= ?125 [125] by Demod 81 with 87 at 1,2
% 0.19/0.42 Id : 97, {_}: ?89 =<= divide ?89 identity [89] by Demod 37 with 96 at 2
% 0.19/0.42 Id : 268, {_}: multiply (inverse ?365) ?366 =>= divide ?366 ?365 [366, 365] by Demod 251 with 97 at 3
% 0.19/0.42 Id : 270, {_}: multiply ?370 ?371 =<= divide ?371 (inverse ?370) [371, 370] by Super 268 with 87 at 1,2
% 0.19/0.42 Id : 282, {_}: multiply ?370 ?371 =?= multiply ?371 ?370 [371, 370] by Demod 270 with 18 at 3
% 0.19/0.42 Id : 1512, {_}: multiply a b === multiply a b [] by Demod 1 with 282 at 3
% 0.19/0.42 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.19/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.42 6439: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.08054 using nrkbo
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