TSTP Solution File: GRP591-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP591-1 : 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 10:30:54 EDT 2022
% Result : Unsatisfiable 78.80s 20.08s
% Output : CNFRefutation 78.80s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP591-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 05:51:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 19559: Facts:
% 0.13/0.35 19559: Id : 2, {_}:
% 0.13/0.35 double_divide
% 0.13/0.35 (inverse
% 0.13/0.35 (double_divide (double_divide ?2 ?3)
% 0.13/0.35 (inverse (double_divide ?2 (inverse ?4))))) ?3
% 0.13/0.35 =>=
% 0.13/0.35 ?4
% 0.13/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 19559: Id : 3, {_}:
% 0.13/0.35 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.13/0.35 [7, 6] by multiply ?6 ?7
% 0.13/0.35 19559: Goal:
% 0.13/0.35 19559: Id : 1, {_}:
% 0.13/0.35 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.35 [] by prove_these_axioms_3
% 78.80/20.08 Statistics :
% 78.80/20.08 Max weight : 39
% 78.80/20.08 Found proof, 19.728679s
% 78.80/20.08 % SZS status Unsatisfiable for theBenchmark.p
% 78.80/20.08 % SZS output start CNFRefutation for theBenchmark.p
% 78.80/20.08 Id : 4, {_}: double_divide (inverse (double_divide (double_divide ?9 ?10) (inverse (double_divide ?9 (inverse ?11))))) ?10 =>= ?11 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 78.80/20.08 Id : 11, {_}: multiply ?30 ?31 =<= inverse (double_divide ?31 ?30) [31, 30] by multiply ?30 ?31
% 78.80/20.08 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 78.80/20.08 Id : 2, {_}: double_divide (inverse (double_divide (double_divide ?2 ?3) (inverse (double_divide ?2 (inverse ?4))))) ?3 =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 78.80/20.08 Id : 8, {_}: double_divide (multiply (inverse (double_divide ?2 (inverse ?4))) (double_divide ?2 ?3)) ?3 =>= ?4 [3, 4, 2] by Demod 2 with 3 at 1,2
% 78.80/20.08 Id : 9, {_}: double_divide (multiply (multiply (inverse ?4) ?2) (double_divide ?2 ?3)) ?3 =>= ?4 [3, 2, 4] by Demod 8 with 3 at 1,1,2
% 78.80/20.08 Id : 10, {_}: double_divide (multiply (multiply (multiply ?25 ?26) ?27) (double_divide ?27 ?28)) ?28 =>= double_divide ?26 ?25 [28, 27, 26, 25] by Super 9 with 3 at 1,1,1,2
% 78.80/20.08 Id : 166, {_}: multiply ?558 (multiply (multiply (inverse ?559) ?560) (double_divide ?560 ?558)) =>= inverse ?559 [560, 559, 558] by Super 11 with 9 at 1,3
% 78.80/20.08 Id : 5, {_}: double_divide (inverse (double_divide (double_divide (inverse (double_divide (double_divide ?13 (inverse ?14)) (inverse (double_divide ?13 (inverse ?15))))) ?16) (inverse ?15))) ?16 =>= ?14 [16, 15, 14, 13] by Super 4 with 2 at 1,2,1,1,2
% 78.80/20.08 Id : 14, {_}: double_divide (multiply (inverse ?15) (double_divide (inverse (double_divide (double_divide ?13 (inverse ?14)) (inverse (double_divide ?13 (inverse ?15))))) ?16)) ?16 =>= ?14 [16, 14, 13, 15] by Demod 5 with 3 at 1,2
% 78.80/20.08 Id : 15, {_}: double_divide (multiply (inverse ?15) (double_divide (multiply (inverse (double_divide ?13 (inverse ?15))) (double_divide ?13 (inverse ?14))) ?16)) ?16 =>= ?14 [16, 14, 13, 15] by Demod 14 with 3 at 1,2,1,2
% 78.80/20.08 Id : 19, {_}: double_divide (multiply (inverse ?51) (double_divide (multiply (multiply (inverse ?51) ?52) (double_divide ?52 (inverse ?53))) ?54)) ?54 =>= ?53 [54, 53, 52, 51] by Demod 15 with 3 at 1,1,2,1,2
% 78.80/20.08 Id : 24, {_}: double_divide (multiply (inverse ?81) ?81) (inverse ?82) =>= ?82 [82, 81] by Super 19 with 9 at 2,1,2
% 78.80/20.08 Id : 170, {_}: multiply (inverse ?579) (multiply (multiply (inverse ?580) (multiply (inverse ?581) ?581)) ?579) =>= inverse ?580 [581, 580, 579] by Super 166 with 24 at 2,2,2
% 78.80/20.08 Id : 30, {_}: multiply (inverse ?96) (multiply (inverse ?97) ?97) =>= inverse ?96 [97, 96] by Super 3 with 24 at 1,3
% 78.80/20.08 Id : 186, {_}: multiply (inverse ?579) (multiply (inverse ?580) ?579) =>= inverse ?580 [580, 579] by Demod 170 with 30 at 1,2,2
% 78.80/20.08 Id : 195, {_}: double_divide (multiply (multiply (inverse ?641) ?642) (double_divide ?642 ?643)) ?643 =?= double_divide (multiply (inverse ?641) ?644) (inverse ?644) [644, 643, 642, 641] by Super 10 with 186 at 1,1,1,2
% 78.80/20.08 Id : 207, {_}: ?641 =<= double_divide (multiply (inverse ?641) ?644) (inverse ?644) [644, 641] by Demod 195 with 9 at 2
% 78.80/20.08 Id : 197, {_}: multiply (inverse ?650) (multiply (inverse ?651) ?650) =>= inverse ?651 [651, 650] by Demod 170 with 30 at 1,2,2
% 78.80/20.08 Id : 203, {_}: multiply (inverse (multiply (inverse ?670) ?671)) (inverse ?670) =>= inverse ?671 [671, 670] by Super 197 with 186 at 2,2
% 78.80/20.08 Id : 341, {_}: multiply (inverse ?1107) ?1108 =<= double_divide (inverse ?1108) (inverse (inverse ?1107)) [1108, 1107] by Super 207 with 203 at 1,3
% 78.80/20.08 Id : 342, {_}: multiply (inverse (double_divide ?1110 ?1111)) ?1112 =?= double_divide (inverse ?1112) (inverse (multiply ?1111 ?1110)) [1112, 1111, 1110] by Super 341 with 3 at 1,2,3
% 78.80/20.08 Id : 349, {_}: multiply (multiply ?1111 ?1110) ?1112 =<= double_divide (inverse ?1112) (inverse (multiply ?1111 ?1110)) [1112, 1110, 1111] by Demod 342 with 3 at 1,2
% 78.80/20.08 Id : 16, {_}: double_divide (multiply (inverse ?15) (double_divide (multiply (multiply (inverse ?15) ?13) (double_divide ?13 (inverse ?14))) ?16)) ?16 =>= ?14 [16, 14, 13, 15] by Demod 15 with 3 at 1,1,2,1,2
% 78.80/20.08 Id : 578, {_}: double_divide (multiply (multiply (inverse ?1692) (multiply (inverse ?1693) (double_divide (multiply (multiply (inverse ?1693) ?1694) (double_divide ?1694 (inverse ?1695))) ?1696))) ?1695) ?1696 =>= ?1692 [1696, 1695, 1694, 1693, 1692] by Super 9 with 16 at 2,1,2
% 78.80/20.08 Id : 200, {_}: multiply (inverse (multiply (inverse ?661) ?661)) (inverse ?662) =>= inverse ?662 [662, 661] by Super 197 with 30 at 2,2
% 78.80/20.08 Id : 372, {_}: multiply (inverse (inverse ?1199)) (inverse ?1200) =>= inverse (multiply (inverse ?1199) ?1200) [1200, 1199] by Super 186 with 203 at 2,2
% 78.80/20.08 Id : 374, {_}: multiply (inverse (multiply ?1206 ?1207)) (inverse ?1208) =<= inverse (multiply (inverse (double_divide ?1207 ?1206)) ?1208) [1208, 1207, 1206] by Super 372 with 3 at 1,1,2
% 78.80/20.08 Id : 395, {_}: multiply (inverse (multiply ?1206 ?1207)) (inverse ?1208) =>= inverse (multiply (multiply ?1206 ?1207) ?1208) [1208, 1207, 1206] by Demod 374 with 3 at 1,1,3
% 78.80/20.08 Id : 504, {_}: inverse (multiply (multiply (inverse ?661) ?661) ?662) =>= inverse ?662 [662, 661] by Demod 200 with 395 at 2
% 78.80/20.08 Id : 610, {_}: double_divide (multiply (multiply (inverse ?1907) (multiply (inverse ?1908) (double_divide (multiply (multiply (inverse ?1908) ?1909) (double_divide ?1909 (inverse ?1910))) ?1911))) ?1910) ?1911 =?= multiply (multiply (inverse ?1912) ?1912) ?1907 [1912, 1911, 1910, 1909, 1908, 1907] by Super 578 with 504 at 1,1,1,2
% 78.80/20.08 Id : 18, {_}: double_divide (multiply (multiply (inverse ?45) (multiply (inverse ?46) (double_divide (multiply (multiply (inverse ?46) ?47) (double_divide ?47 (inverse ?48))) ?49))) ?48) ?49 =>= ?45 [49, 48, 47, 46, 45] by Super 9 with 16 at 2,1,2
% 78.80/20.08 Id : 638, {_}: ?1907 =<= multiply (multiply (inverse ?1912) ?1912) ?1907 [1912, 1907] by Demod 610 with 18 at 2
% 78.80/20.08 Id : 657, {_}: multiply (multiply (multiply (inverse ?2005) ?2005) ?2006) ?2007 =?= double_divide (inverse ?2007) (inverse ?2006) [2007, 2006, 2005] by Super 349 with 638 at 1,2,3
% 78.80/20.08 Id : 672, {_}: multiply ?2006 ?2007 =<= double_divide (inverse ?2007) (inverse ?2006) [2007, 2006] by Demod 657 with 638 at 1,2
% 78.80/20.08 Id : 792, {_}: double_divide (double_divide ?2372 ?2373) ?2373 =>= ?2372 [2373, 2372] by Super 9 with 638 at 1,2
% 78.80/20.08 Id : 800, {_}: double_divide ?2406 (inverse ?2407) =>= multiply (inverse ?2406) ?2407 [2407, 2406] by Super 792 with 207 at 1,2
% 78.80/20.08 Id : 815, {_}: multiply ?2006 ?2007 =?= multiply (inverse (inverse ?2007)) ?2006 [2007, 2006] by Demod 672 with 800 at 3
% 78.80/20.08 Id : 810, {_}: ?641 =<= multiply (inverse (multiply (inverse ?641) ?644)) ?644 [644, 641] by Demod 207 with 800 at 3
% 78.80/20.08 Id : 819, {_}: ?641 =<= multiply (inverse (inverse ?644)) (inverse (multiply (inverse ?641) ?644)) [644, 641] by Demod 810 with 815 at 3
% 78.80/20.08 Id : 643, {_}: multiply (inverse ?1950) (inverse ?1951) =<= inverse (multiply (multiply (multiply (inverse ?1952) ?1952) ?1950) ?1951) [1952, 1951, 1950] by Super 395 with 638 at 1,1,2
% 78.80/20.08 Id : 674, {_}: multiply (inverse ?1950) (inverse ?1951) =>= inverse (multiply ?1950 ?1951) [1951, 1950] by Demod 643 with 638 at 1,1,3
% 78.80/20.08 Id : 820, {_}: ?641 =<= inverse (multiply (inverse ?644) (multiply (inverse ?641) ?644)) [644, 641] by Demod 819 with 674 at 3
% 78.80/20.08 Id : 821, {_}: ?641 =<= inverse (inverse ?641) [641] by Demod 820 with 186 at 1,3
% 78.80/20.08 Id : 823, {_}: multiply ?2006 ?2007 =?= multiply ?2007 ?2006 [2007, 2006] by Demod 815 with 821 at 1,3
% 78.80/20.08 Id : 12, {_}: multiply ?33 (multiply (multiply (inverse ?34) ?35) (double_divide ?35 ?33)) =>= inverse ?34 [35, 34, 33] by Super 11 with 9 at 1,3
% 78.80/20.08 Id : 645, {_}: multiply ?1958 (double_divide ?1959 ?1958) =>= inverse ?1959 [1959, 1958] by Super 12 with 638 at 2,2
% 78.80/20.08 Id : 649, {_}: double_divide (double_divide ?1974 ?1975) ?1975 =>= ?1974 [1975, 1974] by Super 9 with 638 at 1,2
% 78.80/20.08 Id : 850, {_}: multiply (inverse (double_divide ?2470 (inverse ?2471))) ?2471 =>= ?2470 [2471, 2470] by Super 649 with 800 at 2
% 78.80/20.08 Id : 865, {_}: multiply ?2471 (inverse (double_divide ?2470 (inverse ?2471))) =>= ?2470 [2470, 2471] by Demod 850 with 823 at 2
% 78.80/20.08 Id : 1055, {_}: multiply ?3009 (multiply (inverse ?3009) ?3010) =>= ?3010 [3010, 3009] by Demod 865 with 3 at 2,2
% 78.80/20.08 Id : 1150, {_}: multiply (inverse ?3214) (multiply ?3214 ?3215) =>= ?3215 [3215, 3214] by Super 1055 with 821 at 1,2,2
% 78.80/20.08 Id : 1153, {_}: multiply (inverse ?3224) (inverse ?3225) =<= double_divide ?3225 ?3224 [3225, 3224] by Super 1150 with 645 at 2,2
% 78.80/20.08 Id : 1201, {_}: inverse (multiply ?3224 ?3225) =<= double_divide ?3225 ?3224 [3225, 3224] by Demod 1153 with 674 at 2
% 78.80/20.08 Id : 1225, {_}: multiply ?1958 (inverse (multiply ?1958 ?1959)) =>= inverse ?1959 [1959, 1958] by Demod 645 with 1201 at 2,2
% 78.80/20.08 Id : 1232, {_}: multiply ?33 (multiply (multiply (inverse ?34) ?35) (inverse (multiply ?33 ?35))) =>= inverse ?34 [35, 34, 33] by Demod 12 with 1201 at 2,2,2
% 78.80/20.08 Id : 866, {_}: multiply ?2471 (multiply (inverse ?2471) ?2470) =>= ?2470 [2470, 2471] by Demod 865 with 3 at 2,2
% 78.80/20.08 Id : 1039, {_}: multiply (inverse (multiply (inverse (inverse ?2936)) ?2937)) ?2937 =>= inverse ?2936 [2937, 2936] by Super 186 with 866 at 2,2
% 78.80/20.08 Id : 1095, {_}: multiply ?2937 (inverse (multiply (inverse (inverse ?2936)) ?2937)) =>= inverse ?2936 [2936, 2937] by Demod 1039 with 823 at 2
% 78.80/20.08 Id : 1096, {_}: multiply ?2937 (inverse (multiply ?2936 ?2937)) =>= inverse ?2936 [2936, 2937] by Demod 1095 with 821 at 1,1,2,2
% 78.80/20.08 Id : 1258, {_}: inverse ?3339 =<= inverse (multiply ?3340 (multiply ?3339 (inverse ?3340))) [3340, 3339] by Super 674 with 1096 at 2
% 78.80/20.08 Id : 1523, {_}: multiply ?3798 (multiply ?3799 (inverse ?3798)) =>= inverse (inverse ?3799) [3799, 3798] by Super 821 with 1258 at 1,3
% 78.80/20.08 Id : 1570, {_}: multiply ?3798 (multiply ?3799 (inverse ?3798)) =>= ?3799 [3799, 3798] by Demod 1523 with 821 at 3
% 78.80/20.08 Id : 1613, {_}: multiply ?4006 (multiply ?4007 (inverse (multiply ?4006 (multiply ?4007 (inverse (inverse ?4008)))))) =>= inverse ?4008 [4008, 4007, 4006] by Super 1232 with 1570 at 1,2,2
% 78.80/20.08 Id : 1683, {_}: multiply ?4006 (multiply ?4007 (inverse (multiply ?4006 (multiply ?4007 ?4008)))) =>= inverse ?4008 [4008, 4007, 4006] by Demod 1613 with 821 at 2,2,1,2,2,2
% 78.80/20.08 Id : 2453, {_}: multiply ?5845 (inverse (inverse ?5846)) =<= inverse (multiply ?5847 (inverse (multiply ?5845 (multiply ?5847 ?5846)))) [5847, 5846, 5845] by Super 1225 with 1683 at 1,2,2
% 78.80/20.08 Id : 2530, {_}: multiply ?5845 ?5846 =<= inverse (multiply ?5847 (inverse (multiply ?5845 (multiply ?5847 ?5846)))) [5847, 5846, 5845] by Demod 2453 with 821 at 2,2
% 78.80/20.08 Id : 2835, {_}: multiply ?6487 (multiply ?6488 ?6489) =?= inverse (inverse (multiply ?6488 (multiply ?6487 ?6489))) [6489, 6488, 6487] by Super 1225 with 2530 at 2,2
% 78.80/20.08 Id : 2902, {_}: multiply ?6487 (multiply ?6488 ?6489) =?= multiply ?6488 (multiply ?6487 ?6489) [6489, 6488, 6487] by Demod 2835 with 821 at 3
% 78.80/20.08 Id : 9368, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 9367 with 823 at 2,2
% 78.80/20.08 Id : 9367, {_}: multiply a3 (multiply c3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 9366 with 2902 at 2
% 78.80/20.08 Id : 9366, {_}: multiply c3 (multiply a3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 823 at 2
% 78.80/20.08 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 78.80/20.08 % SZS output end CNFRefutation for theBenchmark.p
% 78.80/20.08 19561: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 19.718606 using lpo
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