TSTP Solution File: GRP530-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP530-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %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 : 600s
% DateTime : Sat Jul 16 10:30:39 EDT 2022
% Result : Unsatisfiable 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP530-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 03:36:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 23452: Facts:
% 0.14/0.34 23452: Id : 2, {_}:
% 0.14/0.34 divide (divide ?2 (divide ?3 ?4)) (divide ?2 ?3) =>= ?4
% 0.14/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.34 23452: Id : 3, {_}:
% 0.14/0.34 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.14/0.34 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.14/0.34 23452: Id : 4, {_}:
% 0.14/0.34 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.14/0.34 [11, 10] by inverse ?10 ?11
% 0.14/0.34 23452: Goal:
% 0.14/0.34 23452: Id : 1, {_}:
% 0.14/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.14/0.34 [] by prove_these_axioms_2
% 0.14/0.35 Statistics :
% 0.14/0.35 Max weight : 14
% 0.14/0.35 Found proof, 0.006528s
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.35 Id : 2, {_}: divide (divide ?2 (divide ?3 ?4)) (divide ?2 ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.35 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.14/0.35 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.14/0.35 Id : 20, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.14/0.35 Id : 43, {_}: inverse (divide (divide ?126 ?127) ?126) =>= ?127 [127, 126] by Super 2 with 4 at 2
% 0.14/0.35 Id : 52, {_}: inverse (inverse ?149) =>= ?149 [149] by Super 43 with 4 at 1,2
% 0.14/0.35 Id : 25, {_}: inverse (divide (divide ?91 ?92) ?91) =>= ?92 [92, 91] by Super 2 with 4 at 2
% 0.14/0.35 Id : 53, {_}: inverse ?151 =<= divide (divide ?152 ?151) ?152 [152, 151] by Super 52 with 25 at 1,2
% 0.14/0.35 Id : 72, {_}: inverse ?194 =<= divide (divide ?195 ?194) ?195 [195, 194] by Super 52 with 25 at 1,2
% 0.14/0.35 Id : 75, {_}: inverse (inverse ?204) =<= divide (multiply ?205 ?204) ?205 [205, 204] by Super 72 with 20 at 1,3
% 0.14/0.35 Id : 47, {_}: inverse (inverse ?139) =>= ?139 [139] by Super 43 with 4 at 1,2
% 0.14/0.35 Id : 82, {_}: ?204 =<= divide (multiply ?205 ?204) ?205 [205, 204] by Demod 75 with 47 at 2
% 0.14/0.35 Id : 87, {_}: inverse ?232 =<= divide ?233 (multiply ?232 ?233) [233, 232] by Super 53 with 82 at 1,3
% 0.14/0.35 Id : 94, {_}: inverse (multiply ?249 ?250) =<= divide (inverse ?249) ?250 [250, 249] by Super 53 with 87 at 1,3
% 0.14/0.35 Id : 108, {_}: multiply (inverse ?289) ?290 =<= inverse (multiply ?289 (inverse ?290)) [290, 289] by Super 20 with 94 at 3
% 0.14/0.35 Id : 51, {_}: multiply ?146 (inverse ?147) =>= divide ?146 ?147 [147, 146] by Super 20 with 47 at 2,3
% 0.14/0.35 Id : 124, {_}: multiply (inverse ?289) ?290 =>= inverse (divide ?289 ?290) [290, 289] by Demod 108 with 51 at 1,3
% 0.14/0.35 Id : 156, {_}: a2 === a2 [] by Demod 155 with 47 at 2
% 0.14/0.35 Id : 155, {_}: inverse (inverse a2) =>= a2 [] by Demod 154 with 4 at 1,2
% 0.14/0.35 Id : 154, {_}: inverse (divide (divide b2 b2) a2) =>= a2 [] by Demod 153 with 124 at 2
% 0.14/0.35 Id : 153, {_}: multiply (inverse (divide b2 b2)) a2 =>= a2 [] by Demod 1 with 124 at 1,2
% 0.14/0.35 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.14/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.35 23455: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.008058 using nrkbo
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