TSTP Solution File: GRP615-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP615-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n011.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 1.69s 0.73s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP615-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n011.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 12:16:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 13110: Facts:
% 0.12/0.34 13110: Id : 2, {_}:
% 0.12/0.34 double_divide
% 0.12/0.34 (inverse
% 0.12/0.34 (double_divide (inverse (double_divide ?2 (inverse ?3))) ?4))
% 0.12/0.34 (double_divide ?2 ?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 13110: 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 13110: Goal:
% 0.12/0.34 13110: Id : 1, {_}:
% 0.12/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.34 [] by prove_these_axioms_3
% 1.69/0.73 Statistics :
% 1.69/0.73 Max weight : 26
% 1.69/0.73 Found proof, 0.392708s
% 1.69/0.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/0.73 % SZS output start CNFRefutation for theBenchmark.p
% 1.69/0.73 Id : 4, {_}: double_divide (inverse (double_divide (inverse (double_divide ?9 (inverse ?10))) ?11)) (double_divide ?9 ?11) =>= ?10 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 1.69/0.73 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
% 1.69/0.73 Id : 11, {_}: multiply ?29 ?30 =<= inverse (double_divide ?30 ?29) [30, 29] by multiply ?29 ?30
% 1.69/0.73 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 1.69/0.73 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
% 1.69/0.73 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
% 1.69/0.73 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
% 1.69/0.73 Id : 10, {_}: double_divide (multiply ?24 (multiply (multiply ?25 ?26) ?27)) (double_divide ?27 ?24) =>= double_divide ?26 ?25 [27, 26, 25, 24] by Super 9 with 3 at 1,2,1,2
% 1.69/0.73 Id : 5, {_}: double_divide (inverse (double_divide (inverse (double_divide (inverse (double_divide (inverse (double_divide ?13 (inverse ?14))) ?15)) (inverse ?16))) (double_divide ?13 ?15))) ?14 =>= ?16 [16, 15, 14, 13] by Super 4 with 2 at 2,2
% 1.69/0.73 Id : 14, {_}: double_divide (multiply (double_divide ?13 ?15) (inverse (double_divide (inverse (double_divide (inverse (double_divide ?13 (inverse ?14))) ?15)) (inverse ?16)))) ?14 =>= ?16 [16, 14, 15, 13] by Demod 5 with 3 at 1,2
% 1.69/0.73 Id : 15, {_}: double_divide (multiply (double_divide ?13 ?15) (multiply (inverse ?16) (inverse (double_divide (inverse (double_divide ?13 (inverse ?14))) ?15)))) ?14 =>= ?16 [14, 16, 15, 13] by Demod 14 with 3 at 2,1,2
% 1.69/0.73 Id : 16, {_}: double_divide (multiply (double_divide ?13 ?15) (multiply (inverse ?16) (multiply ?15 (inverse (double_divide ?13 (inverse ?14)))))) ?14 =>= ?16 [14, 16, 15, 13] by Demod 15 with 3 at 2,2,1,2
% 1.69/0.73 Id : 17, {_}: double_divide (multiply (double_divide ?13 ?15) (multiply (inverse ?16) (multiply ?15 (multiply (inverse ?14) ?13)))) ?14 =>= ?16 [14, 16, 15, 13] by Demod 16 with 3 at 2,2,2,1,2
% 1.69/0.73 Id : 110, {_}: multiply ?423 (multiply (double_divide ?424 ?425) (multiply (inverse ?426) (multiply ?425 (multiply (inverse ?423) ?424)))) =>= inverse ?426 [426, 425, 424, 423] by Super 3 with 17 at 1,3
% 1.69/0.73 Id : 18, {_}: multiply ?39 (multiply (double_divide ?40 ?41) (multiply (inverse ?42) (multiply ?41 (multiply (inverse ?39) ?40)))) =>= inverse ?42 [42, 41, 40, 39] by Super 3 with 17 at 1,3
% 1.69/0.73 Id : 116, {_}: multiply ?458 (multiply (double_divide (multiply ?459 (multiply (inverse (inverse ?460)) ?461)) (double_divide ?461 ?459)) (inverse ?458)) =>= inverse ?460 [461, 460, 459, 458] by Super 110 with 18 at 2,2,2
% 1.69/0.73 Id : 128, {_}: multiply ?458 (multiply (inverse ?460) (inverse ?458)) =>= inverse ?460 [460, 458] by Demod 116 with 9 at 1,2,2
% 1.69/0.73 Id : 168, {_}: multiply (double_divide (inverse ?626) ?626) (inverse ?627) =>= inverse ?627 [627, 626] by Super 12 with 128 at 2,2
% 1.69/0.73 Id : 169, {_}: multiply (double_divide (inverse ?629) ?629) (multiply ?630 ?631) =>= inverse (double_divide ?631 ?630) [631, 630, 629] by Super 168 with 3 at 2,2
% 1.69/0.73 Id : 175, {_}: multiply (double_divide (inverse ?629) ?629) (multiply ?630 ?631) =>= multiply ?630 ?631 [631, 630, 629] by Demod 169 with 3 at 3
% 1.69/0.73 Id : 303, {_}: multiply (inverse ?1118) (inverse (double_divide (inverse ?1119) ?1119)) =>= inverse ?1118 [1119, 1118] by Super 128 with 175 at 2
% 1.69/0.73 Id : 349, {_}: multiply (inverse ?1118) (multiply ?1119 (inverse ?1119)) =>= inverse ?1118 [1119, 1118] by Demod 303 with 3 at 2,2
% 1.69/0.73 Id : 465, {_}: double_divide (multiply ?1638 (multiply (inverse ?1639) ?1640)) (double_divide ?1640 ?1638) =?= double_divide (multiply ?1641 (inverse ?1641)) (inverse ?1639) [1641, 1640, 1639, 1638] by Super 10 with 349 at 1,2,1,2
% 1.69/0.73 Id : 483, {_}: ?1639 =<= double_divide (multiply ?1641 (inverse ?1641)) (inverse ?1639) [1641, 1639] by Demod 465 with 9 at 2
% 1.69/0.73 Id : 500, {_}: multiply ?1733 (multiply (inverse ?1733) (multiply (inverse ?1734) (multiply ?1735 (inverse ?1735)))) =>= inverse ?1734 [1735, 1734, 1733] by Super 12 with 483 at 1,2
% 1.69/0.73 Id : 513, {_}: multiply ?1733 (multiply (inverse ?1733) (inverse ?1734)) =>= inverse ?1734 [1734, 1733] by Demod 500 with 349 at 2,2,2
% 1.69/0.73 Id : 104, {_}: double_divide (multiply (double_divide (multiply ?384 (multiply (inverse (inverse ?385)) ?386)) (double_divide ?386 ?384)) (inverse ?387)) ?387 =>= ?385 [387, 386, 385, 384] by Super 17 with 18 at 2,1,2
% 1.69/0.73 Id : 126, {_}: double_divide (multiply (inverse ?385) (inverse ?387)) ?387 =>= ?385 [387, 385] by Demod 104 with 9 at 1,1,2
% 1.69/0.73 Id : 572, {_}: inverse (inverse (inverse ?1922)) =>= inverse ?1922 [1922] by Super 349 with 513 at 2
% 1.69/0.73 Id : 623, {_}: inverse (inverse ?2068) =<= double_divide (multiply ?2069 (inverse ?2069)) (inverse ?2068) [2069, 2068] by Super 483 with 572 at 2,3
% 1.69/0.73 Id : 634, {_}: inverse (inverse ?2068) =>= ?2068 [2068] by Demod 623 with 483 at 3
% 1.69/0.73 Id : 903, {_}: double_divide (multiply ?2919 (inverse ?2920)) ?2920 =>= inverse ?2919 [2920, 2919] by Super 126 with 634 at 1,1,2
% 1.69/0.73 Id : 28, {_}: multiply (double_divide ?91 ?92) (multiply ?92 (multiply (inverse ?93) ?91)) =>= inverse ?93 [93, 92, 91] by Super 11 with 9 at 1,3
% 1.69/0.73 Id : 30, {_}: multiply (double_divide (multiply (inverse ?100) ?101) (double_divide ?101 (inverse ?102))) (inverse ?100) =>= inverse ?102 [102, 101, 100] by Super 28 with 12 at 2,2
% 1.69/0.73 Id : 501, {_}: multiply (double_divide (multiply (inverse ?1737) (multiply ?1738 (inverse ?1738))) ?1739) (inverse ?1737) =>= inverse ?1739 [1739, 1738, 1737] by Super 30 with 483 at 2,1,2
% 1.69/0.73 Id : 512, {_}: multiply (double_divide (inverse ?1737) ?1739) (inverse ?1737) =>= inverse ?1739 [1739, 1737] by Demod 501 with 349 at 1,1,2
% 1.69/0.73 Id : 747, {_}: multiply (double_divide (inverse (inverse ?2440)) ?2441) ?2440 =>= inverse ?2441 [2441, 2440] by Super 512 with 634 at 2,2
% 1.69/0.73 Id : 798, {_}: multiply (double_divide ?2440 ?2441) ?2440 =>= inverse ?2441 [2441, 2440] by Demod 747 with 634 at 1,1,2
% 1.69/0.73 Id : 909, {_}: double_divide (inverse ?2940) ?2941 =<= inverse (double_divide (inverse ?2941) ?2940) [2941, 2940] by Super 903 with 798 at 1,2
% 1.69/0.73 Id : 945, {_}: double_divide (inverse ?3019) ?3020 =>= multiply ?3019 (inverse ?3020) [3020, 3019] by Demod 909 with 3 at 3
% 1.69/0.73 Id : 946, {_}: double_divide ?3022 ?3023 =<= multiply (inverse ?3022) (inverse ?3023) [3023, 3022] by Super 945 with 634 at 1,2
% 1.69/0.73 Id : 960, {_}: multiply ?1733 (double_divide ?1733 ?1734) =>= inverse ?1734 [1734, 1733] by Demod 513 with 946 at 2,2
% 1.69/0.73 Id : 138, {_}: double_divide (multiply (inverse ?530) (inverse ?531)) ?531 =>= ?530 [531, 530] by Demod 104 with 9 at 1,1,2
% 1.69/0.73 Id : 140, {_}: double_divide (multiply (multiply ?537 ?538) (inverse ?539)) ?539 =>= double_divide ?538 ?537 [539, 538, 537] by Super 138 with 3 at 1,1,2
% 1.69/0.73 Id : 818, {_}: double_divide (multiply (inverse ?2665) (inverse ?2666)) ?2666 =?= double_divide ?2667 (double_divide ?2667 ?2665) [2667, 2666, 2665] by Super 140 with 798 at 1,1,2
% 1.69/0.73 Id : 836, {_}: ?2665 =<= double_divide ?2667 (double_divide ?2667 ?2665) [2667, 2665] by Demod 818 with 126 at 2
% 1.69/0.73 Id : 771, {_}: double_divide (multiply ?2539 (inverse ?2540)) ?2540 =>= inverse ?2539 [2540, 2539] by Super 126 with 634 at 1,1,2
% 1.69/0.73 Id : 964, {_}: double_divide (double_divide ?3046 ?3047) ?3047 =>= inverse (inverse ?3046) [3047, 3046] by Super 771 with 946 at 1,2
% 1.69/0.73 Id : 1010, {_}: double_divide (double_divide ?3046 ?3047) ?3047 =>= ?3046 [3047, 3046] by Demod 964 with 634 at 3
% 1.69/0.73 Id : 1177, {_}: ?3766 =<= double_divide (double_divide ?3767 ?3766) ?3767 [3767, 3766] by Super 836 with 1010 at 2,3
% 1.69/0.73 Id : 1344, {_}: multiply (double_divide ?4296 ?4297) ?4297 =>= inverse ?4296 [4297, 4296] by Super 960 with 1177 at 2,2
% 1.69/0.73 Id : 1345, {_}: multiply ?4299 (double_divide ?4300 ?4301) =<= inverse (multiply ?4301 (multiply (inverse ?4299) ?4300)) [4301, 4300, 4299] by Super 1344 with 9 at 1,2
% 1.69/0.73 Id : 884, {_}: inverse (multiply ?537 ?538) =>= double_divide ?538 ?537 [538, 537] by Demod 140 with 771 at 2
% 1.69/0.73 Id : 3927, {_}: multiply ?9621 (double_divide ?9622 ?9623) =<= double_divide (multiply (inverse ?9621) ?9622) ?9623 [9623, 9622, 9621] by Demod 1345 with 884 at 3
% 1.69/0.73 Id : 3928, {_}: multiply (inverse ?9625) (double_divide ?9626 ?9627) =>= double_divide (multiply ?9625 ?9626) ?9627 [9627, 9626, 9625] by Super 3927 with 634 at 1,1,3
% 1.69/0.73 Id : 982, {_}: double_divide ?3126 ?3127 =<= multiply (inverse ?3126) (inverse ?3127) [3127, 3126] by Super 945 with 634 at 1,2
% 1.69/0.73 Id : 984, {_}: double_divide ?3132 (multiply ?3133 ?3134) =<= multiply (inverse ?3132) (double_divide ?3134 ?3133) [3134, 3133, 3132] by Super 982 with 884 at 2,3
% 1.69/0.73 Id : 4006, {_}: double_divide ?9625 (multiply ?9627 ?9626) =<= double_divide (multiply ?9625 ?9626) ?9627 [9626, 9627, 9625] by Demod 3928 with 984 at 2
% 1.69/0.73 Id : 4086, {_}: multiply ?9881 (multiply ?9882 ?9883) =<= inverse (double_divide ?9882 (multiply ?9881 ?9883)) [9883, 9882, 9881] by Super 3 with 4006 at 1,3
% 1.69/0.73 Id : 4154, {_}: multiply ?9881 (multiply ?9882 ?9883) =<= multiply (multiply ?9881 ?9883) ?9882 [9883, 9882, 9881] by Demod 4086 with 3 at 3
% 1.69/0.73 Id : 961, {_}: multiply ?458 (double_divide ?460 ?458) =>= inverse ?460 [460, 458] by Demod 128 with 946 at 2,2
% 1.69/0.73 Id : 1224, {_}: multiply ?3912 ?3913 =<= inverse (double_divide ?3912 ?3913) [3913, 3912] by Super 961 with 1177 at 2,2
% 1.69/0.73 Id : 1263, {_}: multiply ?3912 ?3913 =?= multiply ?3913 ?3912 [3913, 3912] by Demod 1224 with 3 at 3
% 1.69/0.73 Id : 7027, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 6842 with 1263 at 2,2
% 1.69/0.73 Id : 6842, {_}: multiply a3 (multiply c3 b3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 4154 at 2
% 1.69/0.73 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 1.69/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 1.69/0.73 13111: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.39545 using kbo
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