TSTP Solution File: GRP580-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n029.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 10:30:52 EDT 2022
% Result : Unsatisfiable 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 20:20:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 12892: Facts:
% 0.13/0.35 12892: Id : 2, {_}:
% 0.13/0.35 double_divide
% 0.13/0.35 (double_divide ?2
% 0.13/0.35 (double_divide (double_divide (double_divide ?3 ?2) ?4)
% 0.13/0.35 (double_divide ?3 identity))) (double_divide identity identity)
% 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 12892: Id : 3, {_}:
% 0.13/0.35 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.13/0.35 [7, 6] by multiply ?6 ?7
% 0.13/0.35 12892: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.35 12892: Id : 5, {_}:
% 0.13/0.35 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.35 [11] by identity ?11
% 0.13/0.35 12892: Goal:
% 0.13/0.35 12892: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.20/0.45 Statistics :
% 0.20/0.45 Max weight : 20
% 0.20/0.45 Found proof, 0.094704s
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.45 Id : 6, {_}: double_divide (double_divide ?13 (double_divide (double_divide (double_divide ?14 ?13) ?15) (double_divide ?14 identity))) (double_divide identity identity) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.20/0.45 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.20/0.45 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.20/0.45 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.20/0.45 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (double_divide ?3 identity))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.20/0.45 Id : 20, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) (double_divide identity identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 0.20/0.45 Id : 21, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 20 with 4 at 2,2
% 0.20/0.45 Id : 29, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= inverse (double_divide ?73 ?72) [73, 72] by Super 21 with 5 at 1,2,1,2
% 0.20/0.45 Id : 19, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.20/0.45 Id : 34, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= multiply ?72 ?73 [73, 72] by Demod 29 with 19 at 3
% 0.20/0.45 Id : 9, {_}: double_divide (double_divide ?26 ?27) (double_divide identity identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (double_divide ?28 identity) [28, 27, 26] by Super 6 with 2 at 2,1,2
% 0.20/0.45 Id : 196, {_}: double_divide (double_divide ?26 ?27) (inverse identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (double_divide ?28 identity) [28, 27, 26] by Demod 9 with 4 at 2,2
% 0.20/0.45 Id : 213, {_}: double_divide (double_divide ?527 ?528) (inverse identity) =<= double_divide (double_divide (double_divide ?529 (double_divide identity ?527)) ?528) (inverse ?529) [529, 528, 527] by Demod 196 with 4 at 2,3
% 0.20/0.45 Id : 219, {_}: double_divide (double_divide ?548 identity) (inverse identity) =<= double_divide (inverse (double_divide ?549 (double_divide identity ?548))) (inverse ?549) [549, 548] by Super 213 with 4 at 1,3
% 0.20/0.45 Id : 243, {_}: double_divide (inverse ?548) (inverse identity) =<= double_divide (inverse (double_divide ?549 (double_divide identity ?548))) (inverse ?549) [549, 548] by Demod 219 with 4 at 1,2
% 0.20/0.45 Id : 244, {_}: double_divide (inverse ?548) (inverse identity) =<= double_divide (multiply (double_divide identity ?548) ?549) (inverse ?549) [549, 548] by Demod 243 with 19 at 1,3
% 0.20/0.45 Id : 164, {_}: double_divide (double_divide ?410 (double_divide identity (inverse ?411))) (inverse identity) =>= multiply ?410 ?411 [411, 410] by Demod 29 with 19 at 3
% 0.20/0.45 Id : 166, {_}: double_divide (double_divide ?417 identity) (inverse identity) =>= multiply ?417 identity [417] by Super 164 with 5 at 2,1,2
% 0.20/0.45 Id : 176, {_}: double_divide (inverse ?417) (inverse identity) =>= multiply ?417 identity [417] by Demod 166 with 4 at 1,2
% 0.20/0.45 Id : 478, {_}: multiply ?1038 identity =<= double_divide (multiply (double_divide identity ?1038) ?1039) (inverse ?1039) [1039, 1038] by Demod 244 with 176 at 2
% 0.20/0.45 Id : 481, {_}: multiply (inverse identity) identity =<= double_divide (multiply identity ?1047) (inverse ?1047) [1047] by Super 478 with 5 at 1,1,3
% 0.20/0.45 Id : 30, {_}: multiply (inverse ?75) ?75 =>= inverse identity [75] by Super 19 with 5 at 1,3
% 0.20/0.45 Id : 487, {_}: inverse identity =<= double_divide (multiply identity ?1047) (inverse ?1047) [1047] by Demod 481 with 30 at 2
% 0.20/0.45 Id : 22, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 19 with 4 at 1,3
% 0.20/0.45 Id : 488, {_}: inverse identity =<= double_divide (inverse (inverse ?1047)) (inverse ?1047) [1047] by Demod 487 with 22 at 1,3
% 0.20/0.45 Id : 496, {_}: multiply (inverse ?1073) (inverse (inverse ?1073)) =>= inverse (inverse identity) [1073] by Super 19 with 488 at 1,3
% 0.20/0.45 Id : 197, {_}: double_divide (double_divide ?26 ?27) (inverse identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (inverse ?28) [28, 27, 26] by Demod 196 with 4 at 2,3
% 0.20/0.45 Id : 198, {_}: double_divide (double_divide ?462 (double_divide identity (inverse ?463))) (inverse identity) =>= multiply (double_divide identity (double_divide identity ?462)) ?463 [463, 462] by Super 34 with 197 at 2
% 0.20/0.45 Id : 236, {_}: multiply ?462 ?463 =<= multiply (double_divide identity (double_divide identity ?462)) ?463 [463, 462] by Demod 198 with 34 at 2
% 0.20/0.45 Id : 550, {_}: multiply (double_divide identity ?1155) identity =<= double_divide (multiply ?1155 ?1156) (inverse ?1156) [1156, 1155] by Super 478 with 236 at 1,3
% 0.20/0.45 Id : 558, {_}: multiply (double_divide identity (inverse ?1177)) identity =<= double_divide (inverse (inverse identity)) (inverse (inverse (inverse ?1177))) [1177] by Super 550 with 496 at 1,3
% 0.20/0.45 Id : 553, {_}: multiply (double_divide identity (inverse ?1164)) identity =>= double_divide (inverse identity) (inverse ?1164) [1164] by Super 550 with 30 at 1,3
% 0.20/0.45 Id : 707, {_}: double_divide (inverse identity) (inverse ?1177) =<= double_divide (inverse (inverse identity)) (inverse (inverse (inverse ?1177))) [1177] by Demod 558 with 553 at 2
% 0.20/0.45 Id : 715, {_}: identity =<= double_divide (inverse identity) (inverse identity) [] by Super 5 with 707 at 3
% 0.20/0.45 Id : 722, {_}: identity =<= multiply identity identity [] by Demod 715 with 176 at 3
% 0.20/0.45 Id : 723, {_}: identity =<= inverse (inverse identity) [] by Demod 722 with 22 at 3
% 0.20/0.45 Id : 729, {_}: multiply (inverse ?1073) (inverse (inverse ?1073)) =>= identity [1073] by Demod 496 with 723 at 3
% 0.20/0.45 Id : 749, {_}: multiply (inverse (inverse identity)) (inverse identity) =>= identity [] by Super 729 with 723 at 1,2,2
% 0.20/0.45 Id : 754, {_}: inverse identity =>= identity [] by Demod 749 with 30 at 2
% 0.20/0.45 Id : 805, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) identity =>= multiply ?72 ?73 [73, 72] by Demod 34 with 754 at 2,2
% 0.20/0.45 Id : 840, {_}: inverse (double_divide ?72 (double_divide identity (inverse ?73))) =>= multiply ?72 ?73 [73, 72] by Demod 805 with 4 at 2
% 0.20/0.45 Id : 841, {_}: multiply (double_divide identity (inverse ?73)) ?72 =>= multiply ?72 ?73 [72, 73] by Demod 840 with 19 at 2
% 0.20/0.45 Id : 799, {_}: multiply (double_divide identity (inverse ?1164)) identity =>= double_divide identity (inverse ?1164) [1164] by Demod 553 with 754 at 1,3
% 0.20/0.45 Id : 852, {_}: multiply identity ?1164 =<= double_divide identity (inverse ?1164) [1164] by Demod 799 with 841 at 2
% 0.20/0.45 Id : 853, {_}: inverse (inverse ?1164) =<= double_divide identity (inverse ?1164) [1164] by Demod 852 with 22 at 2
% 0.20/0.45 Id : 854, {_}: multiply (inverse (inverse ?73)) ?72 =>= multiply ?72 ?73 [72, 73] by Demod 841 with 853 at 1,2
% 0.20/0.45 Id : 28, {_}: double_divide (double_divide (inverse ?69) (double_divide (double_divide identity ?70) (inverse ?69))) (inverse identity) =>= ?70 [70, 69] by Super 21 with 5 at 1,1,2,1,2
% 0.20/0.45 Id : 1039, {_}: double_divide (double_divide (inverse ?69) (double_divide (double_divide identity ?70) (inverse ?69))) identity =>= ?70 [70, 69] by Demod 28 with 754 at 2,2
% 0.20/0.45 Id : 1040, {_}: inverse (double_divide (inverse ?69) (double_divide (double_divide identity ?70) (inverse ?69))) =>= ?70 [70, 69] by Demod 1039 with 4 at 2
% 0.20/0.45 Id : 1048, {_}: multiply (double_divide (double_divide identity ?1556) (inverse ?1557)) (inverse ?1557) =>= ?1556 [1557, 1556] by Demod 1040 with 19 at 2
% 0.20/0.45 Id : 1054, {_}: multiply (double_divide (double_divide identity ?1576) identity) (inverse identity) =>= ?1576 [1576] by Super 1048 with 754 at 2,1,2
% 0.20/0.45 Id : 1077, {_}: multiply (inverse (double_divide identity ?1576)) (inverse identity) =>= ?1576 [1576] by Demod 1054 with 4 at 1,2
% 0.20/0.45 Id : 1078, {_}: multiply (inverse (double_divide identity ?1576)) identity =>= ?1576 [1576] by Demod 1077 with 754 at 2,2
% 0.20/0.45 Id : 812, {_}: double_divide (inverse ?417) identity =>= multiply ?417 identity [417] by Demod 176 with 754 at 2,2
% 0.20/0.45 Id : 825, {_}: inverse (inverse ?417) =<= multiply ?417 identity [417] by Demod 812 with 4 at 2
% 0.20/0.45 Id : 1079, {_}: inverse (inverse (inverse (double_divide identity ?1576))) =>= ?1576 [1576] by Demod 1078 with 825 at 2
% 0.20/0.45 Id : 1080, {_}: inverse (inverse (multiply ?1576 identity)) =>= ?1576 [1576] by Demod 1079 with 19 at 1,1,2
% 0.20/0.45 Id : 1081, {_}: inverse (inverse (inverse (inverse ?1576))) =>= ?1576 [1576] by Demod 1080 with 825 at 1,1,2
% 0.20/0.45 Id : 728, {_}: double_divide (inverse identity) (inverse ?1177) =<= double_divide identity (inverse (inverse (inverse ?1177))) [1177] by Demod 707 with 723 at 1,3
% 0.20/0.45 Id : 798, {_}: double_divide identity (inverse ?1177) =<= double_divide identity (inverse (inverse (inverse ?1177))) [1177] by Demod 728 with 754 at 1,2
% 0.20/0.45 Id : 857, {_}: inverse (inverse ?1177) =<= double_divide identity (inverse (inverse (inverse ?1177))) [1177] by Demod 798 with 853 at 2
% 0.20/0.45 Id : 858, {_}: inverse (inverse ?1177) =<= inverse (inverse (inverse (inverse ?1177))) [1177] by Demod 857 with 853 at 3
% 0.20/0.45 Id : 1082, {_}: inverse (inverse ?1576) =>= ?1576 [1576] by Demod 1081 with 858 at 2
% 0.20/0.45 Id : 1105, {_}: multiply ?73 ?72 =?= multiply ?72 ?73 [72, 73] by Demod 854 with 1082 at 1,2
% 0.20/0.45 Id : 1134, {_}: multiply a b === multiply a b [] by Demod 1 with 1105 at 3
% 0.20/0.45 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.20/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.45 12892: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.099455 using nrkbo
% 0.20/0.45 Statistics :
% 0.20/0.45 Max weight : 32
% 0.20/0.45 Found proof, 0.099400s
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.45 Id : 6, {_}: double_divide (double_divide ?13 (double_divide (double_divide (double_divide ?14 ?13) ?15) (double_divide ?14 identity))) (double_divide identity identity) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.20/0.45 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
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