TSTP Solution File: GRP485-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n032.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 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.11 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon Jun 13 22:44:12 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.11/0.31 14231: Facts:
% 0.16/0.31 14231: Id : 2, {_}:
% 0.16/0.31 double_divide
% 0.16/0.31 (double_divide ?2
% 0.16/0.31 (double_divide (double_divide (double_divide ?2 ?3) ?4)
% 0.16/0.31 (double_divide ?3 identity))) (double_divide identity identity)
% 0.16/0.31 =>=
% 0.16/0.31 ?4
% 0.16/0.31 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.16/0.31 14231: Id : 3, {_}:
% 0.16/0.31 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.16/0.31 [7, 6] by multiply ?6 ?7
% 0.16/0.31 14231: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.16/0.31 14231: Id : 5, {_}:
% 0.16/0.31 identity =<= double_divide ?11 (inverse ?11)
% 0.16/0.31 [11] by identity ?11
% 0.16/0.31 14231: Goal:
% 0.16/0.31 14231: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.16/0.33 Statistics :
% 0.16/0.33 Max weight : 20
% 0.16/0.33 Found proof, 0.018011s
% 0.16/0.33 % SZS status Unsatisfiable for theBenchmark.p
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark.p
% 0.16/0.33 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.16/0.33 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
% 0.16/0.33 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.16/0.33 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.16/0.33 Id : 18, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.16/0.33 Id : 21, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 18 with 4 at 1,3
% 0.16/0.33 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
% 0.16/0.33 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
% 0.16/0.33 Id : 29, {_}: multiply (inverse ?75) ?75 =>= inverse identity [75] by Super 18 with 5 at 1,3
% 0.16/0.33 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
% 0.16/0.33 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
% 0.16/0.33 Id : 66, {_}: 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
% 0.16/0.33 Id : 74, {_}: double_divide (double_divide ?129 (multiply ?130 (inverse ?129))) (inverse identity) =>= double_divide identity (inverse ?130) [130, 129] by Demod 66 with 4 at 2,2,1,2
% 0.16/0.33 Id : 204, {_}: 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 74 at 2,1,2
% 0.16/0.33 Id : 211, {_}: multiply ?301 ?300 =<= multiply ?301 (inverse (double_divide ?300 identity)) [300, 301] by Demod 204 with 33 at 2
% 0.16/0.33 Id : 212, {_}: multiply ?301 ?300 =<= multiply ?301 (multiply identity ?300) [300, 301] by Demod 211 with 18 at 2,3
% 0.16/0.33 Id : 213, {_}: multiply ?301 ?300 =<= multiply ?301 (inverse (inverse ?300)) [300, 301] by Demod 212 with 21 at 2,3
% 0.16/0.33 Id : 220, {_}: multiply identity ?325 =<= inverse (inverse (inverse (inverse ?325))) [325] by Super 21 with 213 at 2
% 0.16/0.33 Id : 233, {_}: inverse (inverse ?325) =<= inverse (inverse (inverse (inverse ?325))) [325] by Demod 220 with 21 at 2
% 0.16/0.33 Id : 69, {_}: double_divide (double_divide ?138 (double_divide identity (inverse ?139))) (inverse identity) =>= multiply ?139 ?138 [139, 138] by Demod 28 with 18 at 3
% 0.16/0.33 Id : 71, {_}: double_divide (double_divide ?145 identity) (inverse identity) =>= multiply identity ?145 [145] by Super 69 with 5 at 2,1,2
% 0.16/0.33 Id : 75, {_}: double_divide (inverse ?145) (inverse identity) =>= multiply identity ?145 [145] by Demod 71 with 4 at 1,2
% 0.16/0.33 Id : 76, {_}: double_divide (inverse ?145) (inverse identity) =>= inverse (inverse ?145) [145] by Demod 75 with 21 at 3
% 0.16/0.33 Id : 79, {_}: multiply (inverse identity) (inverse ?152) =>= inverse (inverse (inverse ?152)) [152] by Super 18 with 76 at 1,3
% 0.16/0.33 Id : 218, {_}: multiply (inverse identity) ?321 =<= inverse (inverse (inverse (inverse ?321))) [321] by Super 79 with 213 at 2
% 0.16/0.33 Id : 272, {_}: inverse (inverse ?325) =<= multiply (inverse identity) ?325 [325] by Demod 233 with 218 at 3
% 0.16/0.33 Id : 282, {_}: inverse (inverse identity) =>= inverse identity [] by Super 29 with 272 at 2
% 0.16/0.33 Id : 300, {_}: identity =<= double_divide (inverse identity) (inverse identity) [] by Super 5 with 282 at 2,3
% 0.16/0.33 Id : 319, {_}: identity =<= inverse (inverse identity) [] by Demod 300 with 76 at 3
% 0.16/0.33 Id : 320, {_}: identity =<= inverse identity [] by Demod 319 with 282 at 3
% 0.16/0.33 Id : 337, {_}: 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 320 at 2,2
% 0.16/0.33 Id : 348, {_}: inverse (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3))) =>= ?4 [4, 3, 2] by Demod 337 with 4 at 2
% 0.16/0.33 Id : 349, {_}: multiply (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3)) ?2 =>= ?4 [4, 3, 2] by Demod 348 with 18 at 2
% 0.16/0.33 Id : 354, {_}: multiply (double_divide (double_divide (double_divide ?435 identity) ?436) identity) ?435 =>= ?436 [436, 435] by Super 349 with 320 at 2,1,2
% 0.16/0.33 Id : 373, {_}: multiply (inverse (double_divide (double_divide ?435 identity) ?436)) ?435 =>= ?436 [436, 435] by Demod 354 with 4 at 1,2
% 0.16/0.33 Id : 374, {_}: multiply (multiply ?436 (double_divide ?435 identity)) ?435 =>= ?436 [435, 436] by Demod 373 with 18 at 1,2
% 0.16/0.33 Id : 375, {_}: multiply (multiply ?436 (inverse ?435)) ?435 =>= ?436 [435, 436] by Demod 374 with 4 at 2,1,2
% 0.16/0.33 Id : 341, {_}: double_divide (double_divide ?129 (multiply ?130 (inverse ?129))) identity =>= double_divide identity (inverse ?130) [130, 129] by Demod 74 with 320 at 2,2
% 0.16/0.33 Id : 344, {_}: inverse (double_divide ?129 (multiply ?130 (inverse ?129))) =>= double_divide identity (inverse ?130) [130, 129] by Demod 341 with 4 at 2
% 0.16/0.33 Id : 345, {_}: multiply (multiply ?130 (inverse ?129)) ?129 =>= double_divide identity (inverse ?130) [129, 130] by Demod 344 with 18 at 2
% 0.16/0.33 Id : 376, {_}: double_divide identity (inverse ?436) =>= ?436 [436] by Demod 375 with 345 at 2
% 0.16/0.33 Id : 389, {_}: double_divide identity (inverse ?457) =>= ?457 [457] by Demod 375 with 345 at 2
% 0.16/0.33 Id : 273, {_}: inverse (inverse ?321) =<= inverse (inverse (inverse (inverse ?321))) [321] by Demod 218 with 272 at 2
% 0.16/0.33 Id : 391, {_}: double_divide identity (inverse (inverse ?462)) =>= inverse (inverse (inverse ?462)) [462] by Super 389 with 273 at 2,2
% 0.16/0.33 Id : 395, {_}: inverse ?462 =<= inverse (inverse (inverse ?462)) [462] by Demod 391 with 376 at 2
% 0.16/0.33 Id : 423, {_}: double_divide identity (inverse ?484) =>= inverse (inverse ?484) [484] by Super 376 with 395 at 2,2
% 0.16/0.33 Id : 443, {_}: ?484 =<= inverse (inverse ?484) [484] by Demod 423 with 376 at 2
% 0.16/0.33 Id : 451, {_}: multiply identity ?57 =>= ?57 [57] by Demod 21 with 443 at 3
% 0.16/0.33 Id : 465, {_}: a2 === a2 [] by Demod 1 with 451 at 2
% 0.16/0.33 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.16/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.33 14234: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.020161 using nrkbo
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