TSTP Solution File: GRP616-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP616-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n026.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 10:31:00 EDT 2022
% Result : Unsatisfiable 1.16s 0.61s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP616-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.35 % Computer : n026.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 : Tue Jun 14 06:25:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 16661: Facts:
% 0.14/0.35 16661: Id : 2, {_}:
% 0.14/0.35 double_divide
% 0.14/0.35 (inverse
% 0.14/0.35 (double_divide (inverse (double_divide ?2 (inverse ?3))) ?4))
% 0.14/0.35 (double_divide ?2 ?4)
% 0.14/0.35 =>=
% 0.14/0.35 ?3
% 0.14/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.35 16661: Id : 3, {_}:
% 0.14/0.35 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.14/0.35 [7, 6] by multiply ?6 ?7
% 0.14/0.35 16661: Goal:
% 0.14/0.35 16661: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 1.16/0.61 Statistics :
% 1.16/0.61 Max weight : 27
% 1.16/0.61 Found proof, 0.258697s
% 1.16/0.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.16/0.61 % SZS output start CNFRefutation for theBenchmark.p
% 1.16/0.61 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 1.16/0.61 Id : 2, {_}: double_divide (inverse (double_divide (inverse (double_divide ?2 (inverse ?3))) ?4)) (double_divide ?2 ?4) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 1.16/0.61 Id : 11, {_}: multiply ?29 ?30 =<= inverse (double_divide ?30 ?29) [30, 29] by multiply ?29 ?30
% 1.16/0.61 Id : 8, {_}: double_divide (multiply ?4 (inverse (double_divide ?2 (inverse ?3)))) (double_divide ?2 ?4) =>= ?3 [3, 2, 4] by Demod 2 with 3 at 1,2
% 1.16/0.61 Id : 9, {_}: double_divide (multiply ?4 (multiply (inverse ?3) ?2)) (double_divide ?2 ?4) =>= ?3 [2, 3, 4] by Demod 8 with 3 at 2,1,2
% 1.16/0.61 Id : 15, {_}: multiply (double_divide ?43 ?44) (multiply ?44 (multiply (inverse ?45) ?43)) =>= inverse ?45 [45, 44, 43] by Super 11 with 9 at 1,3
% 1.16/0.61 Id : 243, {_}: multiply ?758 (multiply (double_divide ?759 ?760) (multiply (inverse ?761) (multiply ?760 (multiply (inverse ?758) ?759)))) =>= inverse ?761 [761, 760, 759, 758] by Super 15 with 9 at 1,2
% 1.16/0.61 Id : 18, {_}: multiply ?56 (multiply (double_divide ?57 ?58) (multiply (inverse ?59) (multiply ?58 (multiply (inverse ?56) ?57)))) =>= inverse ?59 [59, 58, 57, 56] by Super 15 with 9 at 1,2
% 1.16/0.61 Id : 250, {_}: multiply ?799 (multiply (double_divide (multiply ?800 (multiply (inverse (inverse ?801)) ?802)) (double_divide ?802 ?800)) (inverse ?799)) =>= inverse ?801 [802, 801, 800, 799] by Super 243 with 18 at 2,2,2
% 1.16/0.61 Id : 272, {_}: multiply ?799 (multiply (inverse ?801) (inverse ?799)) =>= inverse ?801 [801, 799] by Demod 250 with 9 at 1,2,2
% 1.16/0.61 Id : 24, {_}: double_divide (multiply ?80 (multiply (multiply ?81 ?82) ?83)) (double_divide ?83 ?80) =>= double_divide ?82 ?81 [83, 82, 81, 80] by Super 9 with 3 at 1,2,1,2
% 1.16/0.61 Id : 12, {_}: multiply (double_divide ?32 ?33) (multiply ?33 (multiply (inverse ?34) ?32)) =>= inverse ?34 [34, 33, 32] by Super 11 with 9 at 1,3
% 1.16/0.61 Id : 28, {_}: double_divide (inverse ?104) (double_divide (multiply (inverse ?104) ?105) (double_divide ?105 (multiply ?106 ?107))) =>= double_divide ?107 ?106 [107, 106, 105, 104] by Super 24 with 12 at 1,2
% 1.16/0.61 Id : 288, {_}: double_divide (inverse ?906) (double_divide (multiply (inverse ?906) ?907) (double_divide ?907 (inverse ?908))) =?= double_divide (multiply (inverse ?908) (inverse ?909)) ?909 [909, 908, 907, 906] by Super 28 with 272 at 2,2,2,2
% 1.16/0.61 Id : 14, {_}: double_divide (inverse ?39) (double_divide (multiply (inverse ?39) ?40) (double_divide ?40 (inverse ?41))) =>= ?41 [41, 40, 39] by Super 9 with 12 at 1,2
% 1.16/0.61 Id : 303, {_}: ?908 =<= double_divide (multiply (inverse ?908) (inverse ?909)) ?909 [909, 908] by Demod 288 with 14 at 2
% 1.16/0.61 Id : 322, {_}: multiply (double_divide (inverse ?993) ?993) (inverse ?994) =>= inverse ?994 [994, 993] by Super 12 with 272 at 2,2
% 1.16/0.61 Id : 323, {_}: multiply (double_divide (inverse ?996) ?996) (multiply ?997 ?998) =>= inverse (double_divide ?998 ?997) [998, 997, 996] by Super 322 with 3 at 2,2
% 1.16/0.61 Id : 340, {_}: multiply (double_divide (inverse ?996) ?996) (multiply ?997 ?998) =>= multiply ?997 ?998 [998, 997, 996] by Demod 323 with 3 at 3
% 1.16/0.61 Id : 458, {_}: multiply (inverse ?1382) (inverse (double_divide (inverse ?1383) ?1383)) =>= inverse ?1382 [1383, 1382] by Super 272 with 340 at 2
% 1.16/0.61 Id : 483, {_}: multiply (inverse ?1382) (multiply ?1383 (inverse ?1383)) =>= inverse ?1382 [1383, 1382] by Demod 458 with 3 at 2,2
% 1.16/0.61 Id : 545, {_}: double_divide (inverse ?1547) (double_divide (multiply (inverse ?1547) ?1548) (double_divide ?1548 (inverse ?1549))) =?= double_divide (multiply ?1550 (inverse ?1550)) (inverse ?1549) [1550, 1549, 1548, 1547] by Super 28 with 483 at 2,2,2,2
% 1.16/0.61 Id : 564, {_}: ?1549 =<= double_divide (multiply ?1550 (inverse ?1550)) (inverse ?1549) [1550, 1549] by Demod 545 with 14 at 2
% 1.16/0.61 Id : 587, {_}: multiply ?1626 (multiply (inverse ?1626) (multiply (inverse ?1627) (multiply ?1628 (inverse ?1628)))) =>= inverse ?1627 [1628, 1627, 1626] by Super 12 with 564 at 1,2
% 1.16/0.61 Id : 598, {_}: multiply ?1626 (multiply (inverse ?1626) (inverse ?1627)) =>= inverse ?1627 [1627, 1626] by Demod 587 with 483 at 2,2,2
% 1.16/0.61 Id : 650, {_}: inverse (inverse (inverse ?1834)) =>= inverse ?1834 [1834] by Super 483 with 598 at 2
% 1.16/0.61 Id : 710, {_}: inverse (inverse ?1972) =<= double_divide (multiply ?1973 (inverse ?1973)) (inverse ?1972) [1973, 1972] by Super 564 with 650 at 2,3
% 1.16/0.61 Id : 721, {_}: inverse (inverse ?1972) =>= ?1972 [1972] by Demod 710 with 564 at 3
% 1.16/0.61 Id : 1073, {_}: inverse ?2704 =<= double_divide (multiply ?2704 (inverse ?2705)) ?2705 [2705, 2704] by Super 303 with 721 at 1,1,3
% 1.16/0.61 Id : 588, {_}: double_divide (inverse ?1630) (double_divide (multiply (inverse ?1630) (multiply ?1631 (inverse ?1631))) ?1632) =>= ?1632 [1632, 1631, 1630] by Super 14 with 564 at 2,2,2
% 1.16/0.61 Id : 597, {_}: double_divide (inverse ?1630) (double_divide (inverse ?1630) ?1632) =>= ?1632 [1632, 1630] by Demod 588 with 483 at 1,2,2
% 1.16/0.61 Id : 795, {_}: double_divide (inverse (inverse ?2117)) (double_divide ?2117 ?2118) =>= ?2118 [2118, 2117] by Super 597 with 721 at 1,2,2
% 1.16/0.61 Id : 801, {_}: double_divide ?2117 (double_divide ?2117 ?2118) =>= ?2118 [2118, 2117] by Demod 795 with 721 at 1,2
% 1.16/0.61 Id : 826, {_}: multiply (double_divide ?2147 ?2148) ?2147 =>= inverse ?2148 [2148, 2147] by Super 3 with 801 at 1,3
% 1.16/0.61 Id : 1080, {_}: inverse (double_divide (inverse ?2730) ?2731) =>= double_divide (inverse ?2731) ?2730 [2731, 2730] by Super 1073 with 826 at 1,3
% 1.16/0.61 Id : 1120, {_}: multiply ?2800 (inverse ?2801) =<= double_divide (inverse ?2800) ?2801 [2801, 2800] by Demod 1080 with 3 at 2
% 1.16/0.61 Id : 1121, {_}: multiply (inverse ?2803) (inverse ?2804) =>= double_divide ?2803 ?2804 [2804, 2803] by Super 1120 with 721 at 1,3
% 1.16/0.61 Id : 1139, {_}: multiply ?799 (double_divide ?801 ?799) =>= inverse ?801 [801, 799] by Demod 272 with 1121 at 2,2
% 1.16/0.61 Id : 769, {_}: inverse ?2014 =<= double_divide (multiply ?2014 (inverse ?2015)) ?2015 [2015, 2014] by Super 303 with 721 at 1,1,3
% 1.16/0.61 Id : 1158, {_}: inverse (inverse ?2894) =<= double_divide (double_divide ?2894 ?2895) ?2895 [2895, 2894] by Super 769 with 1121 at 1,3
% 1.16/0.61 Id : 1177, {_}: ?2894 =<= double_divide (double_divide ?2894 ?2895) ?2895 [2895, 2894] by Demod 1158 with 721 at 2
% 1.16/0.61 Id : 1257, {_}: double_divide (double_divide ?3056 ?3057) ?3056 =>= ?3057 [3057, 3056] by Super 801 with 1177 at 2,2
% 1.16/0.61 Id : 1298, {_}: multiply ?3158 ?3159 =<= inverse (double_divide ?3158 ?3159) [3159, 3158] by Super 1139 with 1257 at 2,2
% 1.16/0.61 Id : 1315, {_}: multiply ?3158 ?3159 =?= multiply ?3159 ?3158 [3159, 3158] by Demod 1298 with 3 at 3
% 1.16/0.61 Id : 6269, {_}: multiply a b === multiply a b [] by Demod 1 with 1315 at 3
% 1.16/0.61 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 1.16/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 1.16/0.61 16664: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.260748 using nrkbo
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