TSTP Solution File: GRP544-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n028.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 10:30:43 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 12:14:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 9006: Facts:
% 0.12/0.34 9006: Id : 2, {_}:
% 0.12/0.34 divide (divide identity (divide (divide (divide ?2 ?3) ?4) ?2)) ?4
% 0.12/0.34 =>=
% 0.12/0.34 ?3
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 9006: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 9006: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 9006: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 9006: Goal:
% 0.12/0.34 9006: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.12/0.37 Statistics :
% 0.12/0.37 Max weight : 16
% 0.12/0.37 Found proof, 0.029517s
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.37 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.12/0.37 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.37 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.37 Id : 2, {_}: divide (divide identity (divide (divide (divide ?2 ?3) ?4) ?2)) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.37 Id : 22, {_}: divide (inverse (divide (divide (divide ?2 ?3) ?4) ?2)) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.12/0.37 Id : 28, {_}: divide (inverse (divide (divide identity ?68) ?69)) ?68 =>= ?69 [69, 68] by Super 22 with 5 at 1,1,1,1,2
% 0.12/0.37 Id : 87, {_}: divide (inverse (divide (inverse ?127) ?128)) ?127 =>= ?128 [128, 127] by Demod 28 with 4 at 1,1,1,2
% 0.12/0.37 Id : 36, {_}: divide (inverse (divide (inverse ?68) ?69)) ?68 =>= ?69 [69, 68] by Demod 28 with 4 at 1,1,1,2
% 0.12/0.37 Id : 316, {_}: divide (inverse ?327) (divide (inverse ?328) ?327) =>= ?328 [328, 327] by Super 87 with 36 at 1,1,2
% 0.12/0.37 Id : 29, {_}: divide (inverse (divide identity ?71)) (divide ?71 ?72) =>= ?72 [72, 71] by Super 22 with 5 at 1,1,1,2
% 0.12/0.37 Id : 243, {_}: divide (inverse (inverse ?244)) (divide ?244 ?245) =>= ?245 [245, 244] by Demod 29 with 4 at 1,1,2
% 0.12/0.37 Id : 247, {_}: divide (inverse (inverse identity)) (inverse ?257) =>= ?257 [257] by Super 243 with 4 at 2,2
% 0.12/0.37 Id : 21, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.12/0.37 Id : 257, {_}: multiply (inverse (inverse identity)) ?257 =>= ?257 [257] by Demod 247 with 21 at 2
% 0.12/0.37 Id : 31, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.12/0.37 Id : 258, {_}: multiply (inverse identity) ?257 =>= ?257 [257] by Demod 257 with 31 at 1,1,2
% 0.12/0.37 Id : 259, {_}: multiply identity ?257 =>= ?257 [257] by Demod 258 with 31 at 1,2
% 0.12/0.37 Id : 23, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 21 with 4 at 3
% 0.12/0.37 Id : 260, {_}: inverse (inverse ?257) =>= ?257 [257] by Demod 259 with 23 at 2
% 0.12/0.37 Id : 354, {_}: divide (inverse ?376) (divide ?377 ?376) =>= inverse ?377 [377, 376] by Super 316 with 260 at 1,2,2
% 0.12/0.37 Id : 37, {_}: divide (inverse (inverse ?71)) (divide ?71 ?72) =>= ?72 [72, 71] by Demod 29 with 4 at 1,1,2
% 0.12/0.37 Id : 268, {_}: divide ?71 (divide ?71 ?72) =>= ?72 [72, 71] by Demod 37 with 260 at 1,2
% 0.12/0.37 Id : 357, {_}: divide (inverse (divide ?386 ?387)) ?387 =>= inverse ?386 [387, 386] by Super 354 with 268 at 2,2
% 0.12/0.37 Id : 516, {_}: inverse (divide (divide ?581 ?582) ?581) =>= ?582 [582, 581] by Super 22 with 357 at 2
% 0.12/0.37 Id : 361, {_}: divide (inverse (inverse ?396)) (multiply ?397 ?396) =>= inverse ?397 [397, 396] by Super 354 with 21 at 2,2
% 0.12/0.37 Id : 381, {_}: divide ?396 (multiply ?397 ?396) =>= inverse ?397 [397, 396] by Demod 361 with 260 at 1,2
% 0.12/0.37 Id : 522, {_}: inverse (divide (inverse ?600) ?601) =>= multiply ?600 ?601 [601, 600] by Super 516 with 381 at 1,1,2
% 0.12/0.37 Id : 449, {_}: inverse (divide (divide ?501 ?502) ?501) =>= ?502 [502, 501] by Super 22 with 357 at 2
% 0.12/0.37 Id : 515, {_}: divide ?578 ?579 =<= inverse (divide ?579 ?578) [579, 578] by Super 357 with 449 at 1,2
% 0.12/0.37 Id : 668, {_}: divide ?601 (inverse ?600) =>= multiply ?600 ?601 [600, 601] by Demod 522 with 515 at 2
% 0.12/0.37 Id : 669, {_}: multiply ?601 ?600 =?= multiply ?600 ?601 [600, 601] by Demod 668 with 21 at 2
% 0.12/0.37 Id : 719, {_}: multiply a b === multiply a b [] by Demod 1 with 669 at 3
% 0.12/0.37 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 9009: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.031499 using nrkbo
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