TSTP Solution File: GRP491-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n019.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 10:30:30 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% 0.14/0.15 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 14:56:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 15009: Facts:
% 0.14/0.37 15009: Id : 2, {_}:
% 0.14/0.37 double_divide (double_divide identity ?2)
% 0.14/0.37 (double_divide identity
% 0.14/0.37 (double_divide (double_divide (double_divide ?2 ?3) identity)
% 0.14/0.37 (double_divide ?4 ?3)))
% 0.14/0.37 =>=
% 0.14/0.37 ?4
% 0.14/0.37 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.37 15009: Id : 3, {_}:
% 0.14/0.37 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.14/0.37 [7, 6] by multiply ?6 ?7
% 0.14/0.37 15009: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.14/0.37 15009: Id : 5, {_}:
% 0.14/0.37 identity =<= double_divide ?11 (inverse ?11)
% 0.14/0.37 [11] by identity ?11
% 0.14/0.37 15009: Goal:
% 0.14/0.37 15009: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.14/0.39 Statistics :
% 0.14/0.39 Max weight : 20
% 0.14/0.39 Found proof, 0.022215s
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.39 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.14/0.39 Id : 2, {_}: double_divide (double_divide identity ?2) (double_divide identity (double_divide (double_divide (double_divide ?2 ?3) identity) (double_divide ?4 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.39 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.14/0.39 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.14/0.39 Id : 16, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.14/0.39 Id : 17, {_}: multiply identity ?46 =>= inverse (inverse ?46) [46] by Super 16 with 4 at 1,3
% 0.14/0.39 Id : 10, {_}: double_divide (double_divide identity ?2) (double_divide identity (double_divide (multiply ?3 ?2) (double_divide ?4 ?3))) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 1,2,2,2
% 0.14/0.39 Id : 22, {_}: double_divide (double_divide identity ?58) (double_divide identity (double_divide (multiply (inverse ?59) ?58) identity)) =>= ?59 [59, 58] by Super 10 with 5 at 2,2,2,2
% 0.14/0.39 Id : 28, {_}: double_divide (double_divide identity ?58) (double_divide identity (inverse (multiply (inverse ?59) ?58))) =>= ?59 [59, 58] by Demod 22 with 4 at 2,2,2
% 0.14/0.39 Id : 95, {_}: double_divide (double_divide identity ?156) (double_divide identity (inverse (multiply (inverse ?157) ?156))) =>= ?157 [157, 156] by Demod 22 with 4 at 2,2,2
% 0.14/0.39 Id : 98, {_}: double_divide (inverse identity) (double_divide identity (inverse (multiply (inverse ?165) identity))) =>= ?165 [165] by Super 95 with 4 at 1,2
% 0.14/0.39 Id : 24, {_}: multiply (inverse ?64) ?64 =>= inverse identity [64] by Super 16 with 5 at 1,3
% 0.14/0.39 Id : 97, {_}: double_divide (double_divide identity ?163) (double_divide identity (inverse (inverse identity))) =>= ?163 [163] by Super 95 with 24 at 1,2,2,2
% 0.14/0.39 Id : 106, {_}: double_divide (double_divide identity ?180) (double_divide identity (inverse (inverse identity))) =>= ?180 [180] by Super 95 with 24 at 1,2,2,2
% 0.14/0.39 Id : 108, {_}: double_divide identity (double_divide identity (inverse (inverse identity))) =>= inverse identity [] by Super 106 with 5 at 1,2
% 0.14/0.39 Id : 117, {_}: double_divide (inverse identity) (double_divide identity (inverse (inverse identity))) =>= double_divide identity (inverse (inverse identity)) [] by Super 97 with 108 at 1,2
% 0.14/0.39 Id : 107, {_}: double_divide (inverse identity) (double_divide identity (inverse (inverse identity))) =>= identity [] by Super 106 with 4 at 1,2
% 0.14/0.39 Id : 140, {_}: identity =<= double_divide identity (inverse (inverse identity)) [] by Demod 117 with 107 at 2
% 0.14/0.39 Id : 141, {_}: double_divide (inverse identity) identity =>= identity [] by Demod 107 with 140 at 2,2
% 0.14/0.39 Id : 149, {_}: inverse (inverse identity) =>= identity [] by Demod 141 with 4 at 2
% 0.14/0.39 Id : 150, {_}: identity =<= double_divide identity identity [] by Demod 140 with 149 at 2,3
% 0.14/0.39 Id : 151, {_}: identity =<= inverse identity [] by Demod 150 with 4 at 3
% 0.14/0.39 Id : 202, {_}: double_divide identity (double_divide identity (inverse (multiply (inverse ?165) identity))) =>= ?165 [165] by Demod 98 with 151 at 1,2
% 0.14/0.39 Id : 143, {_}: double_divide (double_divide identity ?163) identity =>= ?163 [163] by Demod 97 with 140 at 2,2
% 0.14/0.39 Id : 146, {_}: inverse (double_divide identity ?163) =>= ?163 [163] by Demod 143 with 4 at 2
% 0.14/0.39 Id : 147, {_}: multiply ?163 identity =>= ?163 [163] by Demod 146 with 16 at 2
% 0.14/0.39 Id : 210, {_}: double_divide identity (double_divide identity (inverse (inverse ?234))) =>= ?234 [234] by Demod 202 with 147 at 1,2,2,2
% 0.14/0.39 Id : 211, {_}: double_divide identity (double_divide identity (inverse (multiply ?236 ?237))) =>= double_divide ?237 ?236 [237, 236] by Super 210 with 16 at 1,2,2,2
% 0.14/0.39 Id : 281, {_}: multiply (double_divide identity (inverse (multiply ?293 ?294))) identity =>= inverse (double_divide ?294 ?293) [294, 293] by Super 16 with 211 at 1,3
% 0.14/0.39 Id : 292, {_}: double_divide identity (inverse (multiply ?293 ?294)) =>= inverse (double_divide ?294 ?293) [294, 293] by Demod 281 with 147 at 2
% 0.14/0.39 Id : 293, {_}: double_divide identity (inverse (multiply ?293 ?294)) =>= multiply ?293 ?294 [294, 293] by Demod 292 with 16 at 3
% 0.14/0.39 Id : 317, {_}: double_divide (double_divide identity ?58) (multiply (inverse ?59) ?58) =>= ?59 [59, 58] by Demod 28 with 293 at 2,2
% 0.14/0.39 Id : 324, {_}: double_divide identity (inverse (multiply ?342 ?343)) =>= multiply ?342 ?343 [343, 342] by Demod 292 with 16 at 3
% 0.14/0.39 Id : 326, {_}: double_divide identity (inverse ?347) =>= multiply ?347 identity [347] by Super 324 with 147 at 1,2,2
% 0.14/0.39 Id : 337, {_}: double_divide identity (inverse ?347) =>= ?347 [347] by Demod 326 with 147 at 3
% 0.14/0.39 Id : 381, {_}: double_divide ?407 (multiply (inverse ?408) (inverse ?407)) =>= ?408 [408, 407] by Super 317 with 337 at 1,2
% 0.14/0.39 Id : 385, {_}: double_divide ?420 (multiply identity (inverse ?420)) =>= identity [420] by Super 381 with 151 at 1,2,2
% 0.14/0.39 Id : 398, {_}: double_divide ?420 (inverse (inverse (inverse ?420))) =>= identity [420] by Demod 385 with 17 at 2,2
% 0.14/0.39 Id : 406, {_}: double_divide (double_divide identity ?433) (double_divide identity (double_divide (multiply (inverse (inverse (inverse ?434))) ?433) identity)) =>= ?434 [434, 433] by Super 10 with 398 at 2,2,2,2
% 0.14/0.39 Id : 418, {_}: double_divide (double_divide identity ?433) (double_divide identity (inverse (multiply (inverse (inverse (inverse ?434))) ?433))) =>= ?434 [434, 433] by Demod 406 with 4 at 2,2,2
% 0.14/0.39 Id : 419, {_}: double_divide (double_divide identity ?433) (multiply (inverse (inverse (inverse ?434))) ?433) =>= ?434 [434, 433] by Demod 418 with 337 at 2,2
% 0.14/0.39 Id : 420, {_}: inverse (inverse ?434) =>= ?434 [434] by Demod 419 with 317 at 2
% 0.14/0.39 Id : 439, {_}: multiply identity ?46 =>= ?46 [46] by Demod 17 with 420 at 3
% 0.14/0.39 Id : 453, {_}: a2 === a2 [] by Demod 1 with 439 at 2
% 0.14/0.39 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 15012: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.024935 using nrkbo
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