TSTP Solution File: GRP554-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n022.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 10:30:45 EDT 2022
% Result : Unsatisfiable 0.22s 0.39s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 09:20:18 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.22/0.37 5879: Facts:
% 0.22/0.37 5879: Id : 2, {_}:
% 0.22/0.37 divide (divide ?2 (inverse (divide ?3 (divide ?2 ?4)))) ?4 =>= ?3
% 0.22/0.37 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.22/0.37 5879: Id : 3, {_}:
% 0.22/0.37 multiply ?6 ?7 =<= divide ?6 (inverse ?7)
% 0.22/0.37 [7, 6] by multiply ?6 ?7
% 0.22/0.37 5879: Goal:
% 0.22/0.37 5879: Id : 1, {_}:
% 0.22/0.37 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.22/0.37 [] by prove_these_axioms_2
% 0.22/0.39 Statistics :
% 0.22/0.39 Max weight : 28
% 0.22/0.39 Found proof, 0.033379s
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.22/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.22/0.39 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by multiply ?6 ?7
% 0.22/0.39 Id : 2, {_}: divide (divide ?2 (inverse (divide ?3 (divide ?2 ?4)))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.22/0.39 Id : 8, {_}: divide (multiply ?2 (divide ?3 (divide ?2 ?4))) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 3 at 1,2
% 0.22/0.39 Id : 9, {_}: divide (multiply ?25 (divide ?26 (multiply ?25 ?27))) (inverse ?27) =>= ?26 [27, 26, 25] by Super 8 with 3 at 2,2,1,2
% 0.22/0.39 Id : 17, {_}: multiply (multiply ?43 (divide ?44 (multiply ?43 ?45))) ?45 =>= ?44 [45, 44, 43] by Demod 9 with 3 at 2
% 0.22/0.39 Id : 25, {_}: multiply (multiply ?69 ?70) ?71 =<= multiply ?72 (divide ?70 (divide ?72 (multiply ?69 ?71))) [72, 71, 70, 69] by Super 17 with 8 at 2,1,2
% 0.22/0.39 Id : 28, {_}: multiply (multiply ?87 ?88) ?89 =<= multiply (multiply ?90 (divide ?91 (divide ?90 (multiply ?87 ?89)))) (divide ?88 ?91) [91, 90, 89, 88, 87] by Super 25 with 8 at 2,2,3
% 0.22/0.39 Id : 19, {_}: multiply (multiply ?52 ?53) ?54 =<= multiply ?55 (divide ?53 (divide ?55 (multiply ?52 ?54))) [55, 54, 53, 52] by Super 17 with 8 at 2,1,2
% 0.22/0.39 Id : 50, {_}: multiply (multiply ?190 ?191) ?192 =<= multiply (multiply (multiply ?190 ?193) ?192) (divide ?191 ?193) [193, 192, 191, 190] by Demod 28 with 19 at 1,3
% 0.22/0.39 Id : 32, {_}: multiply (multiply ?87 ?88) ?89 =<= multiply (multiply (multiply ?87 ?91) ?89) (divide ?88 ?91) [91, 89, 88, 87] by Demod 28 with 19 at 1,3
% 0.22/0.39 Id : 59, {_}: multiply (multiply (multiply ?244 ?245) ?246) (divide ?247 ?245) =?= multiply (multiply (multiply ?244 ?247) ?248) (divide ?246 ?248) [248, 247, 246, 245, 244] by Super 50 with 32 at 1,3
% 0.22/0.39 Id : 74, {_}: multiply (multiply ?306 ?307) ?308 =<= multiply (multiply (multiply ?306 ?307) ?309) (divide ?308 ?309) [309, 308, 307, 306] by Demod 59 with 32 at 2
% 0.22/0.39 Id : 14, {_}: multiply (multiply ?25 (divide ?26 (multiply ?25 ?27))) ?27 =>= ?26 [27, 26, 25] by Demod 9 with 3 at 2
% 0.22/0.39 Id : 78, {_}: multiply (multiply (multiply ?328 (divide ?329 (multiply ?328 ?330))) ?330) ?331 =?= multiply (multiply ?329 ?332) (divide ?331 ?332) [332, 331, 330, 329, 328] by Super 74 with 14 at 1,1,3
% 0.22/0.39 Id : 108, {_}: multiply ?427 ?428 =<= multiply (multiply ?427 ?429) (divide ?428 ?429) [429, 428, 427] by Demod 78 with 14 at 1,2
% 0.22/0.39 Id : 111, {_}: multiply ?441 ?442 =<= multiply (multiply ?441 (inverse ?443)) (multiply ?442 ?443) [443, 442, 441] by Super 108 with 3 at 2,3
% 0.22/0.39 Id : 23, {_}: divide (multiply (multiply ?59 ?60) ?61) (multiply ?59 ?61) =>= ?60 [61, 60, 59] by Super 8 with 19 at 1,2
% 0.22/0.39 Id : 92, {_}: multiply ?329 ?331 =<= multiply (multiply ?329 ?332) (divide ?331 ?332) [332, 331, 329] by Demod 78 with 14 at 1,2
% 0.22/0.39 Id : 107, {_}: divide (multiply ?423 ?424) (multiply ?423 (divide ?424 ?425)) =>= ?425 [425, 424, 423] by Super 23 with 92 at 1,2
% 0.22/0.39 Id : 189, {_}: divide (multiply ?756 ?757) (multiply ?756 (divide ?757 ?758)) =>= ?758 [758, 757, 756] by Super 23 with 92 at 1,2
% 0.22/0.39 Id : 82, {_}: multiply (multiply ?355 (divide ?356 (multiply ?355 ?357))) ?358 =>= multiply ?356 (divide ?358 ?357) [358, 357, 356, 355] by Super 74 with 14 at 1,3
% 0.22/0.39 Id : 140, {_}: multiply ?26 (divide ?27 ?27) =>= ?26 [27, 26] by Demod 14 with 82 at 2
% 0.22/0.39 Id : 195, {_}: divide (multiply ?785 ?786) ?785 =>= ?786 [786, 785] by Super 189 with 140 at 2,2
% 0.22/0.39 Id : 212, {_}: divide (multiply ?847 ?848) ?849 =>= multiply (divide ?847 ?849) ?848 [849, 848, 847] by Super 8 with 195 at 2,1,2
% 0.22/0.39 Id : 239, {_}: multiply (divide ?423 (multiply ?423 (divide ?424 ?425))) ?424 =>= ?425 [425, 424, 423] by Demod 107 with 212 at 2
% 0.22/0.39 Id : 238, {_}: multiply (divide ?2 ?4) (divide ?3 (divide ?2 ?4)) =>= ?3 [3, 4, 2] by Demod 8 with 212 at 2
% 0.22/0.39 Id : 213, {_}: divide ?851 (divide ?852 ?852) =>= ?851 [852, 851] by Super 8 with 195 at 2
% 0.22/0.39 Id : 293, {_}: multiply (divide ?1073 (divide ?1074 ?1074)) (divide ?1075 ?1073) =>= ?1075 [1075, 1074, 1073] by Super 238 with 213 at 2,2,2
% 0.22/0.39 Id : 306, {_}: multiply ?1073 (divide ?1075 ?1073) =>= ?1075 [1075, 1073] by Demod 293 with 213 at 1,2
% 0.22/0.39 Id : 326, {_}: multiply (divide ?1152 ?1153) ?1153 =>= ?1152 [1153, 1152] by Super 239 with 306 at 2,1,2
% 0.22/0.39 Id : 441, {_}: multiply ?1477 (divide ?1478 ?1479) =<= multiply (multiply ?1477 (inverse ?1479)) ?1478 [1479, 1478, 1477] by Super 111 with 326 at 2,3
% 0.22/0.39 Id : 235, {_}: multiply (divide ?785 ?785) ?786 =>= ?786 [786, 785] by Demod 195 with 212 at 2
% 0.22/0.39 Id : 444, {_}: multiply (divide ?1491 ?1491) (divide ?1492 ?1493) =>= multiply (inverse ?1493) ?1492 [1493, 1492, 1491] by Super 441 with 235 at 1,3
% 0.22/0.39 Id : 476, {_}: divide ?1492 ?1493 =<= multiply (inverse ?1493) ?1492 [1493, 1492] by Demod 444 with 235 at 2
% 0.22/0.39 Id : 518, {_}: a2 === a2 [] by Demod 517 with 235 at 2
% 0.22/0.39 Id : 517, {_}: multiply (divide b2 b2) a2 =>= a2 [] by Demod 1 with 476 at 1,2
% 0.22/0.39 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.22/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.39 5882: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.028268 using nrkbo
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