TSTP Solution File: GRP486-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP486-1 : 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 10:30:29 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
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP486-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 13 10:29:25 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 20654: Facts:
% 0.11/0.33 20654: Id : 2, {_}:
% 0.11/0.33 double_divide
% 0.11/0.33 (double_divide ?2
% 0.11/0.33 (double_divide (double_divide (double_divide ?2 ?3) ?4)
% 0.11/0.33 (double_divide ?3 identity))) (double_divide identity identity)
% 0.11/0.33 =>=
% 0.11/0.33 ?4
% 0.11/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.11/0.33 20654: Id : 3, {_}:
% 0.11/0.33 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.11/0.33 [7, 6] by multiply ?6 ?7
% 0.11/0.33 20654: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.11/0.33 20654: Id : 5, {_}:
% 0.11/0.33 identity =<= double_divide ?11 (inverse ?11)
% 0.11/0.33 [11] by identity ?11
% 0.11/0.33 20654: Goal:
% 0.11/0.33 20654: Id : 1, {_}:
% 0.11/0.33 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.11/0.33 [] by prove_these_axioms_3
% 0.19/0.42 Statistics :
% 0.19/0.42 Max weight : 20
% 0.19/0.42 Found proof, 0.086614s
% 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 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.19/0.42 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.19/0.42 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.19/0.42 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (double_divide ?3 identity))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.42 Id : 19, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3))) (double_divide identity identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 0.19/0.42 Id : 20, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 19 with 4 at 2,2
% 0.19/0.42 Id : 18, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.19/0.42 Id : 29, {_}: multiply (inverse ?75) ?75 =>= inverse identity [75] by Super 18 with 5 at 1,3
% 0.19/0.42 Id : 21, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 18 with 4 at 1,3
% 0.19/0.42 Id : 28, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= inverse (double_divide ?72 ?73) [73, 72] by Super 20 with 5 at 1,2,1,2
% 0.19/0.42 Id : 33, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= multiply ?73 ?72 [73, 72] by Demod 28 with 18 at 3
% 0.19/0.42 Id : 63, {_}: double_divide (double_divide ?129 (multiply ?130 (double_divide ?129 identity))) (inverse identity) =>= double_divide identity (inverse ?130) [130, 129] by Super 20 with 33 at 2,1,2
% 0.19/0.42 Id : 71, {_}: double_divide (double_divide ?129 (multiply ?130 (inverse ?129))) (inverse identity) =>= double_divide identity (inverse ?130) [130, 129] by Demod 63 with 4 at 2,2,1,2
% 0.19/0.42 Id : 194, {_}: double_divide (double_divide ?300 (double_divide identity (inverse ?301))) (inverse identity) =>= multiply ?301 (inverse (double_divide ?300 identity)) [301, 300] by Super 20 with 71 at 2,1,2
% 0.19/0.42 Id : 201, {_}: multiply ?301 ?300 =<= multiply ?301 (inverse (double_divide ?300 identity)) [300, 301] by Demod 194 with 33 at 2
% 0.19/0.42 Id : 202, {_}: multiply ?301 ?300 =<= multiply ?301 (multiply identity ?300) [300, 301] by Demod 201 with 18 at 2,3
% 0.19/0.42 Id : 203, {_}: multiply ?301 ?300 =<= multiply ?301 (inverse (inverse ?300)) [300, 301] by Demod 202 with 21 at 2,3
% 0.19/0.42 Id : 209, {_}: multiply identity ?325 =<= inverse (inverse (inverse (inverse ?325))) [325] by Super 21 with 203 at 2
% 0.19/0.42 Id : 222, {_}: inverse (inverse ?325) =<= inverse (inverse (inverse (inverse ?325))) [325] by Demod 209 with 21 at 2
% 0.19/0.42 Id : 66, {_}: double_divide (double_divide ?138 (double_divide identity (inverse ?139))) (inverse identity) =>= multiply ?139 ?138 [139, 138] by Demod 28 with 18 at 3
% 0.19/0.42 Id : 68, {_}: double_divide (double_divide ?145 identity) (inverse identity) =>= multiply identity ?145 [145] by Super 66 with 5 at 2,1,2
% 0.19/0.42 Id : 72, {_}: double_divide (inverse ?145) (inverse identity) =>= multiply identity ?145 [145] by Demod 68 with 4 at 1,2
% 0.19/0.42 Id : 73, {_}: double_divide (inverse ?145) (inverse identity) =>= inverse (inverse ?145) [145] by Demod 72 with 21 at 3
% 0.19/0.42 Id : 75, {_}: multiply (inverse identity) (inverse ?152) =>= inverse (inverse (inverse ?152)) [152] by Super 18 with 73 at 1,3
% 0.19/0.42 Id : 207, {_}: multiply (inverse identity) ?321 =<= inverse (inverse (inverse (inverse ?321))) [321] by Super 75 with 203 at 2
% 0.19/0.42 Id : 259, {_}: inverse (inverse ?325) =<= multiply (inverse identity) ?325 [325] by Demod 222 with 207 at 3
% 0.19/0.42 Id : 269, {_}: inverse (inverse identity) =>= inverse identity [] by Super 29 with 259 at 2
% 0.19/0.42 Id : 286, {_}: identity =<= double_divide (inverse identity) (inverse identity) [] by Super 5 with 269 at 2,3
% 0.19/0.42 Id : 305, {_}: identity =<= inverse (inverse identity) [] by Demod 286 with 73 at 3
% 0.19/0.42 Id : 306, {_}: identity =<= inverse identity [] by Demod 305 with 269 at 3
% 0.19/0.42 Id : 322, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3))) identity =>= ?4 [4, 3, 2] by Demod 20 with 306 at 2,2
% 0.19/0.42 Id : 333, {_}: inverse (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3))) =>= ?4 [4, 3, 2] by Demod 322 with 4 at 2
% 0.19/0.42 Id : 334, {_}: multiply (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3)) ?2 =>= ?4 [4, 3, 2] by Demod 333 with 18 at 2
% 0.19/0.42 Id : 339, {_}: multiply (double_divide (double_divide (double_divide ?435 identity) ?436) identity) ?435 =>= ?436 [436, 435] by Super 334 with 306 at 2,1,2
% 0.19/0.42 Id : 358, {_}: multiply (inverse (double_divide (double_divide ?435 identity) ?436)) ?435 =>= ?436 [436, 435] by Demod 339 with 4 at 1,2
% 0.19/0.42 Id : 359, {_}: multiply (multiply ?436 (double_divide ?435 identity)) ?435 =>= ?436 [435, 436] by Demod 358 with 18 at 1,2
% 0.19/0.42 Id : 360, {_}: multiply (multiply ?436 (inverse ?435)) ?435 =>= ?436 [435, 436] by Demod 359 with 4 at 2,1,2
% 0.19/0.42 Id : 326, {_}: double_divide (double_divide ?129 (multiply ?130 (inverse ?129))) identity =>= double_divide identity (inverse ?130) [130, 129] by Demod 71 with 306 at 2,2
% 0.19/0.42 Id : 329, {_}: inverse (double_divide ?129 (multiply ?130 (inverse ?129))) =>= double_divide identity (inverse ?130) [130, 129] by Demod 326 with 4 at 2
% 0.19/0.42 Id : 330, {_}: multiply (multiply ?130 (inverse ?129)) ?129 =>= double_divide identity (inverse ?130) [129, 130] by Demod 329 with 18 at 2
% 0.19/0.42 Id : 373, {_}: double_divide identity (inverse ?457) =>= ?457 [457] by Demod 360 with 330 at 2
% 0.19/0.42 Id : 374, {_}: double_divide identity (multiply ?459 ?460) =>= double_divide ?460 ?459 [460, 459] by Super 373 with 18 at 2,2
% 0.19/0.42 Id : 361, {_}: double_divide identity (inverse ?436) =>= ?436 [436] by Demod 360 with 330 at 2
% 0.19/0.42 Id : 260, {_}: inverse (inverse ?321) =<= inverse (inverse (inverse (inverse ?321))) [321] by Demod 207 with 259 at 2
% 0.19/0.42 Id : 375, {_}: double_divide identity (inverse (inverse ?462)) =>= inverse (inverse (inverse ?462)) [462] by Super 373 with 260 at 2,2
% 0.19/0.42 Id : 379, {_}: inverse ?462 =<= inverse (inverse (inverse ?462)) [462] by Demod 375 with 361 at 2
% 0.19/0.42 Id : 405, {_}: double_divide identity (inverse ?484) =>= inverse (inverse ?484) [484] by Super 361 with 379 at 2,2
% 0.19/0.42 Id : 425, {_}: ?484 =<= inverse (inverse ?484) [484] by Demod 405 with 361 at 2
% 0.19/0.42 Id : 433, {_}: double_divide identity ?517 =>= inverse ?517 [517] by Super 361 with 425 at 2,2
% 0.19/0.42 Id : 544, {_}: inverse (multiply ?642 ?643) =>= double_divide ?643 ?642 [643, 642] by Demod 374 with 433 at 2
% 0.19/0.42 Id : 367, {_}: multiply (multiply ?130 (inverse ?129)) ?129 =>= ?130 [129, 130] by Demod 330 with 361 at 3
% 0.19/0.42 Id : 548, {_}: inverse ?654 =<= double_divide ?655 (multiply ?654 (inverse ?655)) [655, 654] by Super 544 with 367 at 1,2
% 0.19/0.42 Id : 618, {_}: multiply (double_divide (inverse ?721) (inverse ?722)) ?723 =>= multiply ?721 (inverse (double_divide ?723 ?722)) [723, 722, 721] by Super 334 with 548 at 1,1,2
% 0.19/0.42 Id : 646, {_}: multiply (double_divide (inverse ?721) (inverse ?722)) ?723 =>= multiply ?721 (multiply ?722 ?723) [723, 722, 721] by Demod 618 with 18 at 2,3
% 0.19/0.42 Id : 370, {_}: multiply (inverse ?451) identity =>= inverse ?451 [451] by Super 18 with 361 at 1,3
% 0.19/0.42 Id : 438, {_}: multiply ?530 identity =>= inverse (inverse ?530) [530] by Super 370 with 425 at 1,2
% 0.19/0.42 Id : 444, {_}: multiply ?530 identity =>= ?530 [530] by Demod 438 with 425 at 3
% 0.19/0.42 Id : 464, {_}: double_divide (double_divide (double_divide identity ?562) ?563) (inverse ?562) =>= ?563 [563, 562] by Super 334 with 444 at 2
% 0.19/0.42 Id : 713, {_}: double_divide (double_divide (inverse ?840) ?841) (inverse ?840) =>= ?841 [841, 840] by Demod 464 with 433 at 1,1,2
% 0.19/0.42 Id : 536, {_}: inverse (multiply ?459 ?460) =>= double_divide ?460 ?459 [460, 459] by Demod 374 with 433 at 2
% 0.19/0.42 Id : 434, {_}: multiply (multiply ?519 ?520) (inverse ?520) =>= ?519 [520, 519] by Super 367 with 425 at 2,1,2
% 0.19/0.42 Id : 590, {_}: inverse ?675 =<= double_divide (inverse ?676) (multiply ?675 ?676) [676, 675] by Super 536 with 434 at 1,2
% 0.19/0.42 Id : 759, {_}: double_divide (inverse ?903) (inverse ?904) =>= multiply ?903 ?904 [904, 903] by Super 713 with 590 at 1,2
% 0.19/0.42 Id : 763, {_}: double_divide (inverse ?916) ?917 =>= multiply ?916 (inverse ?917) [917, 916] by Super 759 with 425 at 2,2
% 0.19/0.42 Id : 1682, {_}: multiply (multiply ?721 (inverse (inverse ?722))) ?723 =>= multiply ?721 (multiply ?722 ?723) [723, 722, 721] by Demod 646 with 763 at 1,2
% 0.19/0.42 Id : 1683, {_}: multiply (multiply ?721 ?722) ?723 =?= multiply ?721 (multiply ?722 ?723) [723, 722, 721] by Demod 1682 with 425 at 2,1,2
% 0.19/0.42 Id : 1822, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 1683 at 2
% 0.19/0.42 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.19/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.42 20657: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.090588 using nrkbo
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