TSTP Solution File: GRP576-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 10:30:51 EDT 2022
% Result : Unsatisfiable 0.12s 0.40s
% 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
% 0.11/0.12 % Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 13:25:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 11445: Facts:
% 0.12/0.34 11445: Id : 2, {_}:
% 0.12/0.34 double_divide
% 0.12/0.34 (double_divide ?2
% 0.12/0.34 (double_divide (double_divide ?3 (double_divide ?4 ?2))
% 0.12/0.34 (double_divide ?4 identity))) (double_divide identity identity)
% 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 11445: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 11445: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.34 11445: Id : 5, {_}:
% 0.12/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.12/0.34 [11] by identity ?11
% 0.12/0.34 11445: Goal:
% 0.12/0.34 11445: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.12/0.40 Statistics :
% 0.12/0.40 Max weight : 20
% 0.12/0.40 Found proof, 0.058277s
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.40 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.12/0.40 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.12/0.40 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.40 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?4 ?2)) (double_divide ?4 identity))) (double_divide identity identity) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.40 Id : 18, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?4 ?2)) (inverse ?4))) (double_divide identity identity) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 0.12/0.40 Id : 19, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?4 ?2)) (inverse ?4))) (inverse identity) =>= ?3 [4, 3, 2] by Demod 18 with 4 at 2,2
% 0.12/0.40 Id : 24, {_}: double_divide (double_divide (inverse ?59) (double_divide (double_divide ?60 identity) (inverse ?59))) (inverse identity) =>= ?60 [60, 59] by Super 19 with 5 at 2,1,2,1,2
% 0.12/0.40 Id : 89, {_}: double_divide (double_divide (inverse ?144) (double_divide (inverse ?145) (inverse ?144))) (inverse identity) =>= ?145 [145, 144] by Demod 24 with 4 at 1,2,1,2
% 0.12/0.40 Id : 92, {_}: double_divide (double_divide (inverse (inverse ?155)) identity) (inverse identity) =>= ?155 [155] by Super 89 with 5 at 2,1,2
% 0.12/0.40 Id : 97, {_}: double_divide (inverse (inverse (inverse ?155))) (inverse identity) =>= ?155 [155] by Demod 92 with 4 at 1,2
% 0.12/0.40 Id : 29, {_}: double_divide (double_divide (inverse ?59) (double_divide (inverse ?60) (inverse ?59))) (inverse identity) =>= ?60 [60, 59] by Demod 24 with 4 at 1,2,1,2
% 0.12/0.40 Id : 124, {_}: double_divide (double_divide (inverse identity) ?208) (inverse identity) =>= inverse (inverse ?208) [208] by Super 29 with 97 at 2,1,2
% 0.12/0.40 Id : 126, {_}: double_divide identity (inverse identity) =<= inverse (inverse (inverse (inverse identity))) [] by Super 124 with 5 at 1,2
% 0.12/0.40 Id : 136, {_}: identity =<= inverse (inverse (inverse (inverse identity))) [] by Demod 126 with 5 at 2
% 0.12/0.40 Id : 150, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Super 97 with 136 at 1,2
% 0.12/0.40 Id : 153, {_}: identity =<= inverse identity [] by Demod 150 with 5 at 2
% 0.12/0.40 Id : 172, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?4 ?2)) (inverse ?4))) identity =>= ?3 [4, 3, 2] by Demod 19 with 153 at 2,2
% 0.12/0.40 Id : 181, {_}: inverse (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?4 ?2)) (inverse ?4))) =>= ?3 [4, 3, 2] by Demod 172 with 4 at 2
% 0.12/0.40 Id : 17, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.12/0.40 Id : 182, {_}: multiply (double_divide (double_divide ?3 (double_divide ?4 ?2)) (inverse ?4)) ?2 =>= ?3 [2, 4, 3] by Demod 181 with 17 at 2
% 0.12/0.40 Id : 104, {_}: double_divide (inverse (inverse (inverse ?174))) (inverse identity) =>= ?174 [174] by Demod 92 with 4 at 1,2
% 0.12/0.40 Id : 105, {_}: double_divide (inverse (inverse (multiply ?176 ?177))) (inverse identity) =>= double_divide ?177 ?176 [177, 176] by Super 104 with 17 at 1,1,1,2
% 0.12/0.40 Id : 298, {_}: double_divide (inverse (inverse (multiply ?176 ?177))) identity =>= double_divide ?177 ?176 [177, 176] by Demod 105 with 153 at 2,2
% 0.12/0.40 Id : 309, {_}: inverse (inverse (inverse (multiply ?315 ?316))) =>= double_divide ?316 ?315 [316, 315] by Demod 298 with 4 at 2
% 0.12/0.40 Id : 103, {_}: double_divide (double_divide (inverse identity) ?172) (inverse identity) =>= inverse (inverse ?172) [172] by Super 29 with 97 at 2,1,2
% 0.12/0.40 Id : 176, {_}: double_divide (double_divide identity ?172) (inverse identity) =>= inverse (inverse ?172) [172] by Demod 103 with 153 at 1,1,2
% 0.12/0.40 Id : 177, {_}: double_divide (double_divide identity ?172) identity =>= inverse (inverse ?172) [172] by Demod 176 with 153 at 2,2
% 0.12/0.40 Id : 178, {_}: inverse (double_divide identity ?172) =>= inverse (inverse ?172) [172] by Demod 177 with 4 at 2
% 0.12/0.40 Id : 179, {_}: multiply ?172 identity =>= inverse (inverse ?172) [172] by Demod 178 with 17 at 2
% 0.12/0.40 Id : 313, {_}: inverse (inverse (inverse (inverse (inverse ?325)))) =>= double_divide identity ?325 [325] by Super 309 with 179 at 1,1,1,2
% 0.12/0.40 Id : 175, {_}: double_divide (inverse (inverse (inverse ?155))) identity =>= ?155 [155] by Demod 97 with 153 at 2,2
% 0.12/0.40 Id : 180, {_}: inverse (inverse (inverse (inverse ?155))) =>= ?155 [155] by Demod 175 with 4 at 2
% 0.12/0.40 Id : 333, {_}: inverse ?325 =<= double_divide identity ?325 [325] by Demod 313 with 180 at 2
% 0.12/0.40 Id : 339, {_}: multiply (double_divide (double_divide ?339 (inverse ?340)) (inverse identity)) ?340 =>= ?339 [340, 339] by Super 182 with 333 at 2,1,1,2
% 0.12/0.40 Id : 357, {_}: multiply (double_divide (double_divide ?339 (inverse ?340)) identity) ?340 =>= ?339 [340, 339] by Demod 339 with 153 at 2,1,2
% 0.12/0.40 Id : 358, {_}: multiply (inverse (double_divide ?339 (inverse ?340))) ?340 =>= ?339 [340, 339] by Demod 357 with 4 at 1,2
% 0.12/0.40 Id : 369, {_}: multiply (multiply (inverse ?370) ?371) ?370 =>= ?371 [371, 370] by Demod 358 with 17 at 1,2
% 0.12/0.40 Id : 25, {_}: multiply (inverse ?62) ?62 =>= inverse identity [62] by Super 17 with 5 at 1,3
% 0.12/0.40 Id : 173, {_}: multiply (inverse ?62) ?62 =>= identity [62] by Demod 25 with 153 at 3
% 0.12/0.40 Id : 374, {_}: multiply identity ?386 =>= ?386 [386] by Super 369 with 173 at 1,2
% 0.12/0.40 Id : 20, {_}: multiply identity ?50 =>= inverse (inverse ?50) [50] by Super 17 with 4 at 1,3
% 0.12/0.40 Id : 384, {_}: inverse (inverse ?386) =>= ?386 [386] by Demod 374 with 20 at 2
% 0.12/0.40 Id : 398, {_}: identity =<= double_divide (inverse ?408) ?408 [408] by Super 5 with 384 at 2,3
% 0.12/0.40 Id : 441, {_}: multiply (double_divide identity (inverse ?461)) ?462 =>= inverse (double_divide ?461 ?462) [462, 461] by Super 182 with 398 at 1,1,2
% 0.12/0.40 Id : 451, {_}: multiply (inverse (inverse ?461)) ?462 =>= inverse (double_divide ?461 ?462) [462, 461] by Demod 441 with 333 at 1,2
% 0.12/0.40 Id : 452, {_}: multiply (inverse (inverse ?461)) ?462 =>= multiply ?462 ?461 [462, 461] by Demod 451 with 17 at 3
% 0.12/0.40 Id : 453, {_}: multiply ?461 ?462 =?= multiply ?462 ?461 [462, 461] by Demod 452 with 384 at 1,2
% 0.12/0.40 Id : 1404, {_}: multiply a b === multiply a b [] by Demod 1 with 453 at 3
% 0.12/0.40 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 11448: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.061015 using nrkbo
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