TSTP Solution File: GRP459-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n007.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 10:30:23 EDT 2022
% Result : Unsatisfiable 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 04:27:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.34 11593: Facts:
% 0.18/0.34 11593: Id : 2, {_}:
% 0.18/0.34 divide
% 0.18/0.34 (divide (divide ?2 ?2)
% 0.18/0.34 (divide ?2 (divide ?3 (divide (divide identity ?2) ?4)))) ?4
% 0.18/0.34 =>=
% 0.18/0.34 ?3
% 0.18/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.34 11593: Id : 3, {_}:
% 0.18/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.18/0.34 [7, 6] by multiply ?6 ?7
% 0.18/0.34 11593: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.18/0.34 11593: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.18/0.34 11593: Goal:
% 0.18/0.34 11593: Id : 1, {_}:
% 0.18/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.18/0.34 [] by prove_these_axioms_3
% 0.18/0.42 Statistics :
% 0.18/0.42 Max weight : 38
% 0.18/0.42 Found proof, 0.075326s
% 0.18/0.42 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.42 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.42 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.18/0.42 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.18/0.42 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.18/0.42 Id : 2, {_}: divide (divide (divide ?2 ?2) (divide ?2 (divide ?3 (divide (divide identity ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.42 Id : 6, {_}: divide (divide (divide ?13 ?13) (divide ?13 (divide ?14 (divide (divide identity ?13) ?15)))) ?15 =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.18/0.42 Id : 7, {_}: divide (divide (divide ?17 ?17) (divide ?17 ?18)) ?19 =?= divide (divide ?20 ?20) (divide ?20 (divide ?18 (divide (divide identity ?20) (divide (divide identity ?17) ?19)))) [20, 19, 18, 17] by Super 6 with 2 at 2,2,1,2
% 0.18/0.42 Id : 56, {_}: divide (divide identity (divide ?17 ?18)) ?19 =<= divide (divide ?20 ?20) (divide ?20 (divide ?18 (divide (divide identity ?20) (divide (divide identity ?17) ?19)))) [20, 19, 18, 17] by Demod 7 with 5 at 1,1,2
% 0.18/0.42 Id : 57, {_}: divide (divide identity (divide ?17 ?18)) ?19 =<= divide identity (divide ?20 (divide ?18 (divide (divide identity ?20) (divide (divide identity ?17) ?19)))) [20, 19, 18, 17] by Demod 56 with 5 at 1,3
% 0.18/0.42 Id : 58, {_}: divide (divide identity (divide ?17 ?18)) ?19 =<= divide identity (divide ?20 (divide ?18 (divide (inverse ?20) (divide (divide identity ?17) ?19)))) [20, 19, 18, 17] by Demod 57 with 4 at 1,2,2,2,3
% 0.18/0.42 Id : 59, {_}: divide (divide identity (divide ?17 ?18)) ?19 =<= divide identity (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 19, 18, 17] by Demod 58 with 4 at 1,2,2,2,2,3
% 0.18/0.42 Id : 60, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= divide identity (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 19, 18, 17] by Demod 59 with 4 at 1,2
% 0.18/0.42 Id : 61, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 19, 18, 17] by Demod 60 with 4 at 3
% 0.18/0.42 Id : 13, {_}: divide (multiply (divide identity identity) (divide ?39 (divide (divide identity identity) ?40))) ?40 =>= ?39 [40, 39] by Super 2 with 3 at 1,2
% 0.18/0.42 Id : 211, {_}: divide (multiply (inverse identity) (divide ?39 (divide (divide identity identity) ?40))) ?40 =>= ?39 [40, 39] by Demod 13 with 4 at 1,1,2
% 0.18/0.42 Id : 212, {_}: divide (multiply (inverse identity) (divide ?39 (divide (inverse identity) ?40))) ?40 =>= ?39 [40, 39] by Demod 211 with 4 at 1,2,2,1,2
% 0.18/0.42 Id : 42, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.18/0.42 Id : 213, {_}: divide (multiply identity (divide ?39 (divide (inverse identity) ?40))) ?40 =>= ?39 [40, 39] by Demod 212 with 42 at 1,1,2
% 0.18/0.42 Id : 214, {_}: divide (multiply identity (divide ?39 (divide identity ?40))) ?40 =>= ?39 [40, 39] by Demod 213 with 42 at 1,2,2,1,2
% 0.18/0.42 Id : 24, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.18/0.42 Id : 26, {_}: multiply identity ?59 =>= inverse (inverse ?59) [59] by Super 24 with 4 at 3
% 0.18/0.42 Id : 215, {_}: divide (inverse (inverse (divide ?39 (divide identity ?40)))) ?40 =>= ?39 [40, 39] by Demod 214 with 26 at 1,2
% 0.18/0.42 Id : 216, {_}: divide (inverse (inverse (divide ?39 (inverse ?40)))) ?40 =>= ?39 [40, 39] by Demod 215 with 4 at 2,1,1,1,2
% 0.18/0.42 Id : 217, {_}: divide (inverse (inverse (multiply ?39 ?40))) ?40 =>= ?39 [40, 39] by Demod 216 with 24 at 1,1,1,2
% 0.18/0.42 Id : 49, {_}: multiply ?91 identity =<= divide ?91 identity [91] by Super 24 with 42 at 2,3
% 0.18/0.42 Id : 225, {_}: multiply (inverse (inverse (multiply ?362 identity))) identity =>= ?362 [362] by Super 49 with 217 at 3
% 0.18/0.42 Id : 65, {_}: divide (inverse (divide ?115 ?116)) ?117 =<= inverse (divide ?118 (divide ?116 (divide (inverse ?118) (divide (inverse ?115) ?117)))) [118, 117, 116, 115] by Demod 60 with 4 at 3
% 0.18/0.42 Id : 76, {_}: divide (inverse (divide ?175 (divide (inverse ?176) (divide (inverse ?175) ?177)))) ?177 =>= inverse (divide ?176 identity) [177, 176, 175] by Super 65 with 5 at 2,1,3
% 0.18/0.42 Id : 25, {_}: divide (divide (divide ?2 ?2) (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2,2,2,1,2
% 0.18/0.42 Id : 38, {_}: divide (divide identity (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 25 with 5 at 1,1,2
% 0.18/0.42 Id : 39, {_}: divide (inverse (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 38 with 4 at 1,2
% 0.18/0.42 Id : 89, {_}: inverse ?176 =<= inverse (divide ?176 identity) [176] by Demod 76 with 39 at 2
% 0.18/0.42 Id : 180, {_}: inverse ?176 =<= inverse (multiply ?176 identity) [176] by Demod 89 with 49 at 1,3
% 0.18/0.42 Id : 233, {_}: multiply (inverse (inverse ?362)) identity =>= ?362 [362] by Demod 225 with 180 at 1,1,2
% 0.18/0.42 Id : 242, {_}: divide (inverse (inverse ?382)) identity =>= inverse (inverse ?382) [382] by Super 217 with 233 at 1,1,1,2
% 0.18/0.42 Id : 250, {_}: multiply (inverse (inverse ?382)) identity =>= inverse (inverse ?382) [382] by Demod 242 with 49 at 2
% 0.18/0.42 Id : 251, {_}: ?382 =<= inverse (inverse ?382) [382] by Demod 250 with 233 at 2
% 0.18/0.42 Id : 256, {_}: multiply ?362 identity =>= ?362 [362] by Demod 233 with 251 at 1,2
% 0.18/0.42 Id : 259, {_}: ?91 =<= divide ?91 identity [91] by Demod 49 with 256 at 2
% 0.18/0.42 Id : 9, {_}: divide (divide (divide (divide identity ?24) (divide identity ?24)) (divide (divide identity ?24) (divide ?25 (divide (multiply identity ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Super 2 with 3 at 1,2,2,2,1,2
% 0.18/0.42 Id : 19, {_}: divide (divide (multiply (divide identity ?24) ?24) (divide (divide identity ?24) (divide ?25 (divide (multiply identity ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 9 with 3 at 1,1,2
% 0.18/0.42 Id : 312, {_}: divide (divide (multiply (inverse ?24) ?24) (divide (divide identity ?24) (divide ?25 (divide (multiply identity ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 19 with 4 at 1,1,1,2
% 0.18/0.42 Id : 313, {_}: divide (divide (multiply (inverse ?24) ?24) (divide (inverse ?24) (divide ?25 (divide (multiply identity ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 312 with 4 at 1,2,1,2
% 0.18/0.42 Id : 257, {_}: multiply identity ?59 =>= ?59 [59] by Demod 26 with 251 at 3
% 0.18/0.42 Id : 314, {_}: divide (divide (multiply (inverse ?24) ?24) (divide (inverse ?24) (divide ?25 (divide ?24 ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 313 with 257 at 1,2,2,2,1,2
% 0.18/0.42 Id : 43, {_}: multiply (inverse ?83) ?83 =>= identity [83] by Super 24 with 5 at 3
% 0.18/0.42 Id : 315, {_}: divide (divide identity (divide (inverse ?24) (divide ?25 (divide ?24 ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 314 with 43 at 1,1,2
% 0.18/0.42 Id : 325, {_}: divide (inverse (divide (inverse ?516) (divide ?517 (divide ?516 ?518)))) ?518 =>= ?517 [518, 517, 516] by Demod 315 with 4 at 1,2
% 0.18/0.42 Id : 258, {_}: divide (multiply ?39 ?40) ?40 =>= ?39 [40, 39] by Demod 217 with 251 at 1,2
% 0.18/0.42 Id : 336, {_}: divide (inverse (divide (inverse ?560) ?561)) ?562 =>= multiply ?561 (divide ?560 ?562) [562, 561, 560] by Super 325 with 258 at 2,1,1,2
% 0.18/0.42 Id : 423, {_}: inverse (divide (inverse ?639) ?640) =<= multiply ?640 (divide ?639 identity) [640, 639] by Super 259 with 336 at 3
% 0.18/0.42 Id : 459, {_}: inverse (divide (inverse ?639) ?640) =>= multiply ?640 ?639 [640, 639] by Demod 423 with 259 at 2,3
% 0.18/0.42 Id : 481, {_}: divide (inverse ?770) ?771 =>= inverse (multiply ?771 ?770) [771, 770] by Super 251 with 459 at 1,3
% 0.18/0.42 Id : 526, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 18, 17, 19] by Demod 61 with 481 at 2
% 0.18/0.42 Id : 527, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= inverse (divide ?20 (divide ?18 (inverse (multiply (divide (inverse ?17) ?19) ?20)))) [20, 18, 17, 19] by Demod 526 with 481 at 2,2,1,3
% 0.18/0.42 Id : 528, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= inverse (divide ?20 (divide ?18 (inverse (multiply (inverse (multiply ?19 ?17)) ?20)))) [20, 18, 17, 19] by Demod 527 with 481 at 1,1,2,2,1,3
% 0.18/0.42 Id : 529, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= inverse (divide ?20 (multiply ?18 (multiply (inverse (multiply ?19 ?17)) ?20))) [20, 18, 17, 19] by Demod 528 with 24 at 2,1,3
% 0.18/0.42 Id : 490, {_}: inverse (divide (inverse ?810) ?811) =>= multiply ?811 ?810 [811, 810] by Demod 423 with 259 at 2,3
% 0.18/0.42 Id : 494, {_}: inverse (divide ?825 ?826) =<= multiply ?826 (inverse ?825) [826, 825] by Super 490 with 251 at 1,1,2
% 0.18/0.42 Id : 264, {_}: multiply ?409 (inverse ?410) =>= divide ?409 ?410 [410, 409] by Super 24 with 251 at 2,3
% 0.18/0.42 Id : 514, {_}: inverse (divide ?825 ?826) =>= divide ?826 ?825 [826, 825] by Demod 494 with 264 at 3
% 0.18/0.42 Id : 572, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= divide (multiply ?18 (multiply (inverse (multiply ?19 ?17)) ?20)) ?20 [20, 18, 17, 19] by Demod 529 with 514 at 3
% 0.18/0.42 Id : 476, {_}: divide (multiply ?561 ?560) ?562 =>= multiply ?561 (divide ?560 ?562) [562, 560, 561] by Demod 336 with 459 at 1,2
% 0.18/0.42 Id : 573, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= multiply ?18 (divide (multiply (inverse (multiply ?19 ?17)) ?20) ?20) [20, 18, 17, 19] by Demod 572 with 476 at 3
% 0.18/0.42 Id : 574, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= multiply ?18 (multiply (inverse (multiply ?19 ?17)) (divide ?20 ?20)) [20, 18, 17, 19] by Demod 573 with 476 at 2,3
% 0.18/0.42 Id : 575, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= multiply ?18 (multiply (inverse (multiply ?19 ?17)) identity) [18, 17, 19] by Demod 574 with 5 at 2,2,3
% 0.18/0.42 Id : 576, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= multiply ?18 (inverse (multiply ?19 ?17)) [18, 17, 19] by Demod 575 with 256 at 2,3
% 0.18/0.42 Id : 577, {_}: inverse (multiply ?19 (divide ?17 ?18)) =>= divide ?18 (multiply ?19 ?17) [18, 17, 19] by Demod 576 with 264 at 3
% 0.18/0.42 Id : 498, {_}: inverse (multiply (inverse ?837) ?838) =>= multiply (inverse ?838) ?837 [838, 837] by Super 490 with 24 at 1,2
% 0.18/0.42 Id : 711, {_}: multiply (inverse (divide ?1039 ?1040)) ?1041 =<= divide ?1040 (multiply (inverse ?1041) ?1039) [1041, 1040, 1039] by Super 577 with 498 at 2
% 0.18/0.42 Id : 732, {_}: multiply (divide ?1040 ?1039) ?1041 =<= divide ?1040 (multiply (inverse ?1041) ?1039) [1041, 1039, 1040] by Demod 711 with 514 at 1,2
% 0.18/0.42 Id : 713, {_}: multiply ?1047 (multiply (inverse ?1048) ?1049) =<= divide ?1047 (multiply (inverse ?1049) ?1048) [1049, 1048, 1047] by Super 264 with 498 at 2,2
% 0.18/0.42 Id : 1337, {_}: multiply (divide ?1895 ?1896) ?1897 =<= multiply ?1895 (multiply (inverse ?1896) ?1897) [1897, 1896, 1895] by Demod 732 with 713 at 3
% 0.18/0.42 Id : 1342, {_}: multiply (divide ?1918 (inverse ?1919)) ?1920 =>= multiply ?1918 (multiply ?1919 ?1920) [1920, 1919, 1918] by Super 1337 with 251 at 1,2,3
% 0.18/0.42 Id : 1386, {_}: multiply (multiply ?1918 ?1919) ?1920 =>= multiply ?1918 (multiply ?1919 ?1920) [1920, 1919, 1918] by Demod 1342 with 24 at 1,2
% 0.18/0.42 Id : 1467, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 1386 at 2
% 0.18/0.42 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.18/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.42 11594: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.080792 using kbo
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