TSTP Solution File: GRP602-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP602-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : 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 10:30:57 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP602-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n019.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
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 23:02:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 10135: Facts:
% 0.12/0.34 10135: Id : 2, {_}:
% 0.12/0.34 inverse
% 0.12/0.34 (double_divide
% 0.12/0.34 (inverse
% 0.12/0.34 (double_divide ?2
% 0.12/0.34 (inverse (double_divide ?3 (double_divide ?2 ?4))))) ?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 10135: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 10135: Goal:
% 0.12/0.34 10135: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34 [] by prove_these_axioms_2
% 0.18/0.49 Statistics :
% 0.18/0.49 Max weight : 26
% 0.18/0.49 Found proof, 0.148667s
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.49 Id : 4, {_}: inverse (double_divide (inverse (double_divide ?9 (inverse (double_divide ?10 (double_divide ?9 ?11))))) ?11) =>= ?10 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.18/0.49 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.18/0.49 Id : 2, {_}: inverse (double_divide (inverse (double_divide ?2 (inverse (double_divide ?3 (double_divide ?2 ?4))))) ?4) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.49 Id : 7, {_}: multiply ?4 (inverse (double_divide ?2 (inverse (double_divide ?3 (double_divide ?2 ?4))))) =>= ?3 [3, 2, 4] by Demod 2 with 3 at 2
% 0.18/0.49 Id : 8, {_}: multiply ?4 (multiply (inverse (double_divide ?3 (double_divide ?2 ?4))) ?2) =>= ?3 [2, 3, 4] by Demod 7 with 3 at 2,2
% 0.18/0.49 Id : 9, {_}: multiply ?4 (multiply (multiply (double_divide ?2 ?4) ?3) ?2) =>= ?3 [3, 2, 4] by Demod 8 with 3 at 1,2,2
% 0.18/0.49 Id : 5, {_}: inverse (double_divide (inverse (double_divide ?13 ?14)) ?15) =<= inverse (double_divide ?16 (inverse (double_divide ?14 (double_divide ?16 (double_divide ?13 ?15))))) [16, 15, 14, 13] by Super 4 with 2 at 2,1,1,1,2
% 0.18/0.49 Id : 12, {_}: multiply ?15 (inverse (double_divide ?13 ?14)) =<= inverse (double_divide ?16 (inverse (double_divide ?14 (double_divide ?16 (double_divide ?13 ?15))))) [16, 14, 13, 15] by Demod 5 with 3 at 2
% 0.18/0.49 Id : 13, {_}: multiply ?15 (inverse (double_divide ?13 ?14)) =<= multiply (inverse (double_divide ?14 (double_divide ?16 (double_divide ?13 ?15)))) ?16 [16, 14, 13, 15] by Demod 12 with 3 at 3
% 0.18/0.49 Id : 14, {_}: multiply ?15 (multiply ?14 ?13) =<= multiply (inverse (double_divide ?14 (double_divide ?16 (double_divide ?13 ?15)))) ?16 [16, 13, 14, 15] by Demod 13 with 3 at 2,2
% 0.18/0.49 Id : 15, {_}: multiply ?15 (multiply ?14 ?13) =<= multiply (multiply (double_divide ?16 (double_divide ?13 ?15)) ?14) ?16 [16, 13, 14, 15] by Demod 14 with 3 at 1,3
% 0.18/0.49 Id : 16, {_}: multiply (double_divide ?26 ?27) (multiply ?27 (multiply ?28 ?26)) =>= ?28 [28, 27, 26] by Super 9 with 15 at 2,2
% 0.18/0.49 Id : 24, {_}: multiply (double_divide ?54 ?55) (multiply ?55 (multiply ?56 ?54)) =>= ?56 [56, 55, 54] by Super 9 with 15 at 2,2
% 0.18/0.49 Id : 30, {_}: multiply (double_divide ?82 (multiply (double_divide (multiply ?83 ?82) (double_divide ?84 ?85)) ?86)) (multiply ?85 (multiply ?86 ?84)) =>= ?83 [86, 85, 84, 83, 82] by Super 24 with 15 at 2,2
% 0.18/0.49 Id : 29, {_}: multiply (double_divide (multiply ?78 ?79) (double_divide ?79 ?80)) ?78 =>= ?80 [80, 79, 78] by Super 24 with 16 at 2,2
% 0.18/0.49 Id : 26, {_}: multiply (double_divide (multiply ?63 (multiply ?64 ?65)) ?66) (multiply ?66 ?64) =>= double_divide ?65 ?63 [66, 65, 64, 63] by Super 24 with 16 at 2,2,2
% 0.18/0.49 Id : 72, {_}: double_divide ?239 (multiply (double_divide (multiply ?240 ?239) ?241) ?240) =>= ?241 [241, 240, 239] by Super 29 with 26 at 2
% 0.18/0.49 Id : 197, {_}: multiply (multiply (double_divide (multiply ?869 ?870) ?871) ?869) ?870 =>= inverse ?871 [871, 870, 869] by Super 3 with 72 at 1,3
% 0.18/0.49 Id : 208, {_}: multiply (double_divide ?926 (multiply ?927 ?928)) (multiply ?928 ?926) =>= inverse ?927 [928, 927, 926] by Super 197 with 26 at 1,2
% 0.18/0.49 Id : 485, {_}: inverse (double_divide (multiply ?2282 (multiply ?2283 ?2284)) (double_divide ?2284 ?2283)) =>= ?2282 [2284, 2283, 2282] by Super 30 with 208 at 2
% 0.18/0.49 Id : 836, {_}: multiply (double_divide ?3756 ?3757) (multiply ?3758 (multiply ?3757 ?3756)) =>= ?3758 [3758, 3757, 3756] by Demod 485 with 3 at 2
% 0.18/0.49 Id : 112, {_}: multiply (multiply (double_divide (multiply ?433 ?434) ?435) ?433) ?434 =>= inverse ?435 [435, 434, 433] by Super 3 with 72 at 1,3
% 0.18/0.49 Id : 845, {_}: multiply (double_divide ?3807 (multiply (double_divide (multiply ?3808 ?3807) ?3809) ?3808)) (multiply ?3810 (inverse ?3809)) =>= ?3810 [3810, 3809, 3808, 3807] by Super 836 with 112 at 2,2,2
% 0.18/0.49 Id : 885, {_}: multiply ?3809 (multiply ?3810 (inverse ?3809)) =>= ?3810 [3810, 3809] by Demod 845 with 72 at 1,2
% 0.18/0.49 Id : 960, {_}: multiply (double_divide (inverse ?4227) ?4227) ?4228 =>= ?4228 [4228, 4227] by Super 16 with 885 at 2,2
% 0.18/0.49 Id : 517, {_}: multiply (double_divide ?2284 ?2283) (multiply ?2282 (multiply ?2283 ?2284)) =>= ?2282 [2282, 2283, 2284] by Demod 485 with 3 at 2
% 0.18/0.49 Id : 948, {_}: multiply (double_divide (inverse ?4174) ?4175) ?4175 =>= ?4174 [4175, 4174] by Super 517 with 885 at 2,2
% 0.18/0.49 Id : 1213, {_}: multiply ?5246 ?5247 =<= double_divide (inverse ?5247) (inverse ?5246) [5247, 5246] by Super 885 with 948 at 2,2
% 0.18/0.49 Id : 1044, {_}: ?4521 =<= inverse (inverse ?4521) [4521] by Super 208 with 948 at 2
% 0.18/0.49 Id : 1215, {_}: multiply (inverse ?5253) ?5254 =<= double_divide (inverse ?5254) ?5253 [5254, 5253] by Super 1213 with 1044 at 2,3
% 0.18/0.49 Id : 2412, {_}: multiply (multiply (inverse ?4227) ?4227) ?4228 =>= ?4228 [4228, 4227] by Demod 960 with 1215 at 1,2
% 0.18/0.49 Id : 2490, {_}: a2 === a2 [] by Demod 1 with 2412 at 2
% 0.18/0.49 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.49 10135: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.151142 using nrkbo
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