TSTP Solution File: GRP515-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP515-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n023.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 10:30:36 EDT 2022
% Result : Unsatisfiable 1.53s 0.74s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP515-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 22:26:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 1502: Facts:
% 0.14/0.36 1502: Id : 2, {_}:
% 0.14/0.36 multiply ?2 (multiply (multiply ?3 ?4) (inverse (multiply ?2 ?4)))
% 0.14/0.36 =>=
% 0.14/0.36 ?3
% 0.14/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.36 1502: Goal:
% 0.14/0.36 1502: Id : 1, {_}:
% 0.14/0.36 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.14/0.36 [] by prove_these_axioms_3
% 1.53/0.74 Statistics :
% 1.53/0.74 Max weight : 22
% 1.53/0.74 Found proof, 0.381579s
% 1.53/0.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.53/0.74 % SZS output start CNFRefutation for theBenchmark.p
% 1.53/0.74 Id : 2, {_}: multiply ?2 (multiply (multiply ?3 ?4) (inverse (multiply ?2 ?4))) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 1.53/0.74 Id : 3, {_}: multiply ?6 (multiply (multiply ?7 ?8) (inverse (multiply ?6 ?8))) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 1.53/0.74 Id : 4, {_}: multiply ?10 (multiply (multiply ?11 (multiply (multiply ?12 ?13) (inverse (multiply ?10 ?13)))) (inverse ?12)) =>= ?11 [13, 12, 11, 10] by Super 3 with 2 at 1,2,2,2
% 1.53/0.74 Id : 9, {_}: multiply ?34 (multiply (multiply ?35 (multiply (multiply ?36 ?37) (inverse (multiply ?34 ?37)))) (inverse ?36)) =>= ?35 [37, 36, 35, 34] by Super 3 with 2 at 1,2,2,2
% 1.53/0.74 Id : 14, {_}: multiply ?65 (multiply ?66 (inverse ?66)) =>= ?65 [66, 65] by Super 9 with 2 at 1,2,2
% 1.53/0.74 Id : 31, {_}: multiply ?156 (multiply ?157 (inverse ?156)) =>= ?157 [157, 156] by Super 4 with 14 at 1,2,2
% 1.53/0.74 Id : 5, {_}: multiply ?15 (multiply ?16 (inverse (multiply ?15 (multiply (multiply ?16 ?17) (inverse (multiply ?18 ?17)))))) =>= ?18 [18, 17, 16, 15] by Super 3 with 2 at 1,2,2
% 1.53/0.74 Id : 174, {_}: multiply (multiply ?625 ?626) (multiply ?627 (inverse (multiply ?627 ?626))) =>= ?625 [627, 626, 625] by Super 5 with 31 at 1,2,2,2
% 1.53/0.74 Id : 50, {_}: multiply (multiply ?199 ?200) (multiply ?201 (inverse (multiply ?201 ?200))) =>= ?199 [201, 200, 199] by Super 5 with 31 at 1,2,2,2
% 1.53/0.74 Id : 181, {_}: multiply (multiply ?661 (multiply ?662 (inverse (multiply ?662 ?663)))) (multiply (multiply ?664 ?663) (inverse ?664)) =>= ?661 [664, 663, 662, 661] by Super 174 with 50 at 1,2,2,2
% 1.53/0.74 Id : 55, {_}: multiply ?221 (multiply (multiply ?222 ?223) (inverse ?222)) =>= multiply ?221 ?223 [223, 222, 221] by Super 4 with 31 at 1,2,2
% 1.53/0.74 Id : 196, {_}: multiply (multiply ?661 (multiply ?662 (inverse (multiply ?662 ?663)))) ?663 =>= ?661 [663, 662, 661] by Demod 181 with 55 at 2
% 1.53/0.74 Id : 119, {_}: multiply ?496 (multiply (multiply ?497 ?498) (inverse ?497)) =>= multiply ?496 ?498 [498, 497, 496] by Super 4 with 31 at 1,2,2
% 1.53/0.74 Id : 120, {_}: multiply ?500 (multiply ?501 (inverse ?502)) =<= multiply ?500 (multiply (multiply ?501 ?503) (inverse (multiply ?502 ?503))) [503, 502, 501, 500] by Super 119 with 2 at 1,2,2
% 1.53/0.74 Id : 302, {_}: multiply ?10 (multiply (multiply ?11 (multiply ?12 (inverse ?10))) (inverse ?12)) =>= ?11 [12, 11, 10] by Demod 4 with 120 at 1,2,2
% 1.53/0.74 Id : 375, {_}: multiply (multiply ?1423 (inverse ?1423)) ?1424 =>= ?1424 [1424, 1423] by Super 302 with 196 at 2,2
% 1.53/0.74 Id : 558, {_}: multiply (multiply ?2050 (multiply (multiply ?2051 (inverse ?2051)) (inverse ?2052))) ?2052 =>= ?2050 [2052, 2051, 2050] by Super 196 with 375 at 1,2,2,1,2
% 1.53/0.74 Id : 581, {_}: multiply (multiply ?2050 (inverse ?2052)) ?2052 =>= ?2050 [2052, 2050] by Demod 558 with 375 at 2,1,2
% 1.53/0.74 Id : 622, {_}: multiply ?2222 ?2223 =<= multiply ?2223 (inverse (inverse ?2222)) [2223, 2222] by Super 31 with 581 at 2,2
% 1.53/0.74 Id : 651, {_}: multiply ?2311 (multiply ?2312 (inverse ?2312)) =>= inverse (inverse ?2311) [2312, 2311] by Super 375 with 622 at 2
% 1.53/0.74 Id : 694, {_}: ?2311 =<= inverse (inverse ?2311) [2311] by Demod 651 with 14 at 2
% 1.53/0.74 Id : 698, {_}: multiply ?2222 ?2223 =?= multiply ?2223 ?2222 [2223, 2222] by Demod 622 with 694 at 2,3
% 1.53/0.74 Id : 165, {_}: multiply (multiply ?586 ?587) (multiply ?588 (inverse ?586)) =>= multiply ?588 ?587 [588, 587, 586] by Super 4 with 50 at 1,2,2
% 1.53/0.74 Id : 616, {_}: multiply (multiply ?2200 ?2201) ?2202 =<= multiply (multiply ?2202 (inverse (inverse ?2200))) ?2201 [2202, 2201, 2200] by Super 165 with 581 at 2,2
% 1.53/0.74 Id : 612, {_}: multiply ?2181 (multiply ?2182 (inverse ?2183)) =<= multiply ?2182 (inverse (multiply ?2183 (inverse ?2181))) [2183, 2182, 2181] by Super 302 with 581 at 1,2,2
% 1.53/0.74 Id : 677, {_}: multiply ?2426 (multiply ?2427 (inverse (inverse (inverse ?2426)))) =>= ?2427 [2427, 2426] by Super 581 with 622 at 2
% 1.53/0.74 Id : 683, {_}: multiply ?2426 (multiply (inverse ?2426) ?2427) =>= ?2427 [2427, 2426] by Demod 677 with 622 at 2,2
% 1.53/0.74 Id : 703, {_}: multiply ?663 (multiply ?661 (multiply ?662 (inverse (multiply ?662 ?663)))) =>= ?661 [662, 661, 663] by Demod 196 with 698 at 2
% 1.53/0.74 Id : 547, {_}: multiply (multiply ?2002 ?2003) (inverse ?2002) =?= multiply (multiply ?2004 (inverse ?2004)) ?2003 [2004, 2003, 2002] by Super 165 with 375 at 2,2
% 1.53/0.74 Id : 590, {_}: multiply (multiply ?2002 ?2003) (inverse ?2002) =>= ?2003 [2003, 2002] by Demod 547 with 375 at 3
% 1.53/0.74 Id : 816, {_}: multiply (inverse ?2002) (multiply ?2002 ?2003) =>= ?2003 [2003, 2002] by Demod 590 with 698 at 2
% 1.53/0.74 Id : 853, {_}: multiply ?2875 (inverse (multiply ?2876 ?2875)) =>= inverse ?2876 [2876, 2875] by Super 703 with 816 at 2,2
% 1.53/0.74 Id : 1233, {_}: multiply ?3504 (inverse ?3505) =<= inverse (multiply ?3505 (inverse ?3504)) [3505, 3504] by Super 683 with 853 at 2,2
% 1.53/0.74 Id : 1933, {_}: multiply ?2181 (multiply ?2182 (inverse ?2183)) =?= multiply ?2182 (multiply ?2181 (inverse ?2183)) [2183, 2182, 2181] by Demod 612 with 1233 at 2,3
% 1.53/0.74 Id : 2209, {_}: multiply (multiply ?5528 (inverse ?5529)) ?5530 =>= multiply ?5528 (multiply ?5530 (inverse ?5529)) [5530, 5529, 5528] by Super 698 with 1933 at 3
% 1.53/0.74 Id : 2210, {_}: multiply (multiply ?5532 ?5533) ?5534 =<= multiply ?5532 (multiply ?5534 (inverse (inverse ?5533))) [5534, 5533, 5532] by Super 2209 with 694 at 2,1,2
% 1.53/0.74 Id : 2416, {_}: multiply (multiply ?5532 ?5533) ?5534 =>= multiply ?5532 (multiply ?5534 ?5533) [5534, 5533, 5532] by Demod 2210 with 694 at 2,2,3
% 1.53/0.74 Id : 3209, {_}: multiply ?2200 (multiply ?2202 ?2201) =<= multiply (multiply ?2202 (inverse (inverse ?2200))) ?2201 [2201, 2202, 2200] by Demod 616 with 2416 at 2
% 1.53/0.74 Id : 3210, {_}: multiply ?2200 (multiply ?2202 ?2201) =<= multiply ?2202 (multiply ?2201 (inverse (inverse ?2200))) [2201, 2202, 2200] by Demod 3209 with 2416 at 3
% 1.53/0.74 Id : 3211, {_}: multiply ?2200 (multiply ?2202 ?2201) =?= multiply ?2202 (multiply ?2201 ?2200) [2201, 2202, 2200] by Demod 3210 with 694 at 2,2,3
% 1.53/0.74 Id : 3688, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 3687 with 3211 at 2
% 1.53/0.74 Id : 3687, {_}: multiply c3 (multiply a3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 698 at 2
% 1.53/0.74 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 1.53/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 1.53/0.74 1503: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.373588 using kbo
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