TSTP Solution File: GRP536-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP536-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n018.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 10:30:41 EDT 2022
% Result : Unsatisfiable 0.22s 0.42s
% 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
% 0.08/0.13 % Problem : GRP536-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jun 13 12:56:12 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36 19672: Facts:
% 0.15/0.36 19672: Id : 2, {_}:
% 0.15/0.36 divide (divide ?2 (divide (divide ?2 ?3) ?4)) ?3 =>= ?4
% 0.15/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.15/0.36 19672: Id : 3, {_}:
% 0.15/0.36 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.15/0.36 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.15/0.36 19672: Id : 4, {_}:
% 0.15/0.36 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.15/0.36 [11, 10] by inverse ?10 ?11
% 0.15/0.36 19672: Id : 5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.15/0.36 19672: Goal:
% 0.15/0.36 19672: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.22/0.42 Statistics :
% 0.22/0.42 Max weight : 14
% 0.22/0.42 Found proof, 0.061413s
% 0.22/0.42 % SZS status Unsatisfiable for theBenchmark.p
% 0.22/0.42 % SZS output start CNFRefutation for theBenchmark.p
% 0.22/0.42 Id : 2, {_}: divide (divide ?2 (divide (divide ?2 ?3) ?4)) ?3 =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.22/0.42 Id : 5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.22/0.42 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.22/0.42 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.22/0.42 Id : 22, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.22/0.42 Id : 35, {_}: inverse ?10 =<= divide identity ?10 [10] by Demod 4 with 5 at 1,3
% 0.22/0.42 Id : 36, {_}: inverse identity =>= identity [] by Super 35 with 5 at 3
% 0.22/0.42 Id : 46, {_}: multiply ?113 identity =<= divide ?113 identity [113] by Super 22 with 36 at 2,3
% 0.22/0.42 Id : 39, {_}: divide (divide ?104 identity) ?105 =>= divide ?104 ?105 [105, 104] by Super 2 with 5 at 2,1,2
% 0.22/0.42 Id : 75, {_}: divide (multiply ?104 identity) ?105 =>= divide ?104 ?105 [105, 104] by Demod 39 with 46 at 1,2
% 0.22/0.42 Id : 77, {_}: identity =<= divide ?145 (multiply ?145 identity) [145] by Super 5 with 75 at 3
% 0.22/0.42 Id : 111, {_}: divide (divide ?192 identity) ?193 =>= multiply (divide ?192 ?193) identity [193, 192] by Super 2 with 77 at 2,1,2
% 0.22/0.42 Id : 121, {_}: divide (multiply ?192 identity) ?193 =>= multiply (divide ?192 ?193) identity [193, 192] by Demod 111 with 46 at 1,2
% 0.22/0.42 Id : 152, {_}: divide ?234 ?235 =<= multiply (divide ?234 ?235) identity [235, 234] by Demod 121 with 75 at 2
% 0.22/0.42 Id : 153, {_}: divide (divide ?237 (divide (divide ?237 ?238) ?239)) ?238 =>= multiply ?239 identity [239, 238, 237] by Super 152 with 2 at 1,3
% 0.22/0.42 Id : 162, {_}: ?239 =<= multiply ?239 identity [239] by Demod 153 with 2 at 2
% 0.22/0.42 Id : 176, {_}: ?113 =<= divide ?113 identity [113] by Demod 46 with 162 at 2
% 0.22/0.42 Id : 12, {_}: divide (multiply ?40 ?41) ?40 =>= ?41 [41, 40] by Super 2 with 3 at 1,2
% 0.22/0.42 Id : 23, {_}: multiply (divide ?70 ?70) ?71 =>= inverse (inverse ?71) [71, 70] by Super 22 with 4 at 3
% 0.22/0.42 Id : 205, {_}: multiply identity ?71 =>= inverse (inverse ?71) [71] by Demod 23 with 5 at 1,2
% 0.22/0.42 Id : 188, {_}: multiply identity ?271 =>= ?271 [271] by Super 176 with 12 at 3
% 0.22/0.42 Id : 206, {_}: ?71 =<= inverse (inverse ?71) [71] by Demod 205 with 188 at 2
% 0.22/0.42 Id : 208, {_}: multiply ?297 (inverse ?298) =>= divide ?297 ?298 [298, 297] by Super 22 with 206 at 2,3
% 0.22/0.42 Id : 256, {_}: divide (divide ?354 ?355) ?354 =>= inverse ?355 [355, 354] by Super 12 with 208 at 1,2
% 0.22/0.42 Id : 258, {_}: divide ?361 (multiply ?362 ?361) =>= inverse ?362 [362, 361] by Super 256 with 12 at 1,2
% 0.22/0.42 Id : 285, {_}: divide (divide ?392 (inverse ?393)) ?394 =>= multiply ?393 (divide ?392 ?394) [394, 393, 392] by Super 2 with 258 at 2,1,2
% 0.22/0.42 Id : 294, {_}: divide (multiply ?392 ?393) ?394 =>= multiply ?393 (divide ?392 ?394) [394, 393, 392] by Demod 285 with 22 at 1,2
% 0.22/0.42 Id : 407, {_}: multiply ?545 ?546 =<= multiply ?546 (divide ?545 identity) [546, 545] by Super 176 with 294 at 3
% 0.22/0.42 Id : 420, {_}: multiply ?545 ?546 =?= multiply ?546 ?545 [546, 545] by Demod 407 with 176 at 2,3
% 0.22/0.42 Id : 1385, {_}: multiply a b === multiply a b [] by Demod 1 with 420 at 3
% 0.22/0.42 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.22/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.42 19676: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.063217 using nrkbo
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