TSTP Solution File: GRP590-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP590-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n026.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 10:30:54 EDT 2022
% Result : Unsatisfiable 0.22s 0.40s
% 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 : GRP590-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 17:27:51 EDT 2022
% 0.22/0.36 % CPUTime :
% 0.22/0.36 32359: Facts:
% 0.22/0.36 32359: Id : 2, {_}:
% 0.22/0.36 double_divide
% 0.22/0.36 (inverse
% 0.22/0.36 (double_divide (double_divide ?2 ?3)
% 0.22/0.36 (inverse (double_divide ?2 (inverse ?4))))) ?3
% 0.22/0.36 =>=
% 0.22/0.36 ?4
% 0.22/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.22/0.36 32359: Id : 3, {_}:
% 0.22/0.36 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.22/0.36 [7, 6] by multiply ?6 ?7
% 0.22/0.36 32359: Goal:
% 0.22/0.36 32359: Id : 1, {_}:
% 0.22/0.36 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.22/0.36 [] by prove_these_axioms_2
% 0.22/0.40 Statistics :
% 0.22/0.40 Max weight : 25
% 0.22/0.40 Found proof, 0.036387s
% 0.22/0.40 % SZS status Unsatisfiable for theBenchmark.p
% 0.22/0.40 % SZS output start CNFRefutation for theBenchmark.p
% 0.22/0.40 Id : 11, {_}: multiply ?30 ?31 =<= inverse (double_divide ?31 ?30) [31, 30] by multiply ?30 ?31
% 0.22/0.40 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.22/0.40 Id : 2, {_}: double_divide (inverse (double_divide (double_divide ?2 ?3) (inverse (double_divide ?2 (inverse ?4))))) ?3 =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.22/0.40 Id : 8, {_}: double_divide (multiply (inverse (double_divide ?2 (inverse ?4))) (double_divide ?2 ?3)) ?3 =>= ?4 [3, 4, 2] by Demod 2 with 3 at 1,2
% 0.22/0.40 Id : 9, {_}: double_divide (multiply (multiply (inverse ?4) ?2) (double_divide ?2 ?3)) ?3 =>= ?4 [3, 2, 4] by Demod 8 with 3 at 1,1,2
% 0.22/0.40 Id : 10, {_}: double_divide (multiply (multiply (multiply ?25 ?26) ?27) (double_divide ?27 ?28)) ?28 =>= double_divide ?26 ?25 [28, 27, 26, 25] by Super 9 with 3 at 1,1,1,2
% 0.22/0.40 Id : 15, {_}: multiply ?45 (multiply (multiply (inverse ?46) ?47) (double_divide ?47 ?45)) =>= inverse ?46 [47, 46, 45] by Super 11 with 9 at 1,3
% 0.22/0.40 Id : 58, {_}: multiply ?229 (multiply (multiply (inverse ?230) (multiply (multiply (inverse ?231) ?232) (double_divide ?232 ?229))) ?231) =>= inverse ?230 [232, 231, 230, 229] by Super 15 with 9 at 2,2,2
% 0.22/0.40 Id : 12, {_}: multiply ?33 (multiply (multiply (inverse ?34) ?35) (double_divide ?35 ?33)) =>= inverse ?34 [35, 34, 33] by Super 11 with 9 at 1,3
% 0.22/0.40 Id : 66, {_}: multiply (inverse ?279) (multiply (inverse ?280) ?280) =>= inverse ?279 [280, 279] by Super 58 with 12 at 1,2,2
% 0.22/0.40 Id : 75, {_}: double_divide (multiply (multiply (inverse ?297) ?298) (double_divide ?298 ?299)) ?299 =?= double_divide (multiply (inverse ?300) ?300) (inverse ?297) [300, 299, 298, 297] by Super 10 with 66 at 1,1,1,2
% 0.22/0.40 Id : 82, {_}: ?297 =<= double_divide (multiply (inverse ?300) ?300) (inverse ?297) [300, 297] by Demod 75 with 9 at 2
% 0.22/0.40 Id : 89, {_}: double_divide (multiply (multiply (inverse ?336) (multiply (inverse ?337) ?337)) ?338) (inverse ?338) =>= ?336 [338, 337, 336] by Super 9 with 82 at 2,1,2
% 0.22/0.40 Id : 98, {_}: double_divide (multiply (inverse ?336) ?338) (inverse ?338) =>= ?336 [338, 336] by Demod 89 with 66 at 1,1,2
% 0.22/0.40 Id : 90, {_}: multiply (inverse ?340) (multiply (multiply (inverse ?341) (multiply (inverse ?342) ?342)) ?340) =>= inverse ?341 [342, 341, 340] by Super 12 with 82 at 2,2,2
% 0.22/0.40 Id : 107, {_}: multiply (inverse ?390) (multiply (inverse ?391) ?390) =>= inverse ?391 [391, 390] by Demod 90 with 66 at 1,2,2
% 0.22/0.40 Id : 97, {_}: multiply (inverse ?340) (multiply (inverse ?341) ?340) =>= inverse ?341 [341, 340] by Demod 90 with 66 at 1,2,2
% 0.22/0.40 Id : 113, {_}: multiply (inverse (multiply (inverse ?414) ?415)) (inverse ?414) =>= inverse ?415 [415, 414] by Super 107 with 97 at 2,2
% 0.22/0.40 Id : 232, {_}: double_divide (inverse ?751) (inverse (inverse ?752)) =>= multiply (inverse ?752) ?751 [752, 751] by Super 98 with 113 at 1,2
% 0.22/0.40 Id : 234, {_}: double_divide (multiply ?758 ?759) (inverse (inverse ?760)) =>= multiply (inverse ?760) (double_divide ?759 ?758) [760, 759, 758] by Super 232 with 3 at 1,2
% 0.22/0.40 Id : 285, {_}: inverse ?876 =<= multiply (inverse ?876) (double_divide ?877 (inverse ?877)) [877, 876] by Super 82 with 234 at 3
% 0.22/0.40 Id : 501, {_}: double_divide (inverse ?1382) (inverse (double_divide ?1383 (inverse ?1383))) =>= ?1382 [1383, 1382] by Super 98 with 285 at 1,2
% 0.22/0.40 Id : 555, {_}: double_divide (inverse ?1463) (multiply (inverse ?1464) ?1464) =>= ?1463 [1464, 1463] by Demod 501 with 3 at 2,2
% 0.22/0.40 Id : 559, {_}: double_divide (inverse ?1478) (inverse (multiply (inverse ?1479) ?1479)) =>= ?1478 [1479, 1478] by Super 555 with 66 at 2,2
% 0.22/0.40 Id : 233, {_}: double_divide (inverse ?754) (inverse (multiply ?755 ?756)) =>= multiply (inverse (double_divide ?756 ?755)) ?754 [756, 755, 754] by Super 232 with 3 at 1,2,2
% 0.22/0.40 Id : 238, {_}: double_divide (inverse ?754) (inverse (multiply ?755 ?756)) =>= multiply (multiply ?755 ?756) ?754 [756, 755, 754] by Demod 233 with 3 at 1,3
% 0.22/0.40 Id : 567, {_}: multiply (multiply (inverse ?1479) ?1479) ?1478 =>= ?1478 [1478, 1479] by Demod 559 with 238 at 2
% 0.22/0.40 Id : 607, {_}: a2 === a2 [] by Demod 1 with 567 at 2
% 0.22/0.40 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.22/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.40 32362: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.038676 using nrkbo
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