TSTP Solution File: GRP456-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : 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 10:30:22 EDT 2022
% Result : Unsatisfiable 0.11s 0.30s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% 0.02/0.07 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.06/0.26 % Computer : n029.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Mon Jun 13 23:52:55 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.06/0.26 31959: Facts:
% 0.06/0.26 31959: Id : 2, {_}:
% 0.06/0.26 divide
% 0.06/0.26 (divide identity
% 0.06/0.26 (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4))))
% 0.06/0.26 ?4
% 0.06/0.26 =>=
% 0.06/0.26 ?3
% 0.06/0.26 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.06/0.26 31959: Id : 3, {_}:
% 0.06/0.26 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.06/0.26 [7, 6] by multiply ?6 ?7
% 0.06/0.26 31959: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.06/0.26 31959: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.06/0.26 31959: Goal:
% 0.06/0.26 31959: Id : 1, {_}:
% 0.06/0.26 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.06/0.26 [] by prove_these_axioms_3
% 0.11/0.30 Statistics :
% 0.11/0.30 Max weight : 28
% 0.11/0.30 Found proof, 0.036300s
% 0.11/0.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.11/0.30 % SZS output start CNFRefutation for theBenchmark.p
% 0.11/0.30 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.11/0.30 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.11/0.30 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.11/0.30 Id : 2, {_}: divide (divide identity (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.11/0.30 Id : 6, {_}: divide (divide identity (divide ?13 (divide ?14 (divide (divide (divide ?13 ?13) ?13) ?15)))) ?15 =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.11/0.30 Id : 7, {_}: divide (divide identity (divide ?17 ?18)) ?19 =<= divide identity (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Super 6 with 2 at 2,2,1,2
% 0.11/0.30 Id : 54, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= divide identity (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 7 with 4 at 1,2
% 0.11/0.30 Id : 55, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 54 with 4 at 3
% 0.11/0.30 Id : 56, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (divide identity ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 55 with 5 at 1,1,2,2,1,3
% 0.11/0.30 Id : 57, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (divide identity ?20) (divide (divide identity ?17) ?19)))) [20, 19, 18, 17] by Demod 56 with 5 at 1,1,2,2,2,1,3
% 0.11/0.30 Id : 58, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (divide identity ?17) ?19)))) [20, 19, 18, 17] by Demod 57 with 4 at 1,2,2,1,3
% 0.11/0.30 Id : 59, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 19, 18, 17] by Demod 58 with 4 at 1,2,2,2,1,3
% 0.11/0.30 Id : 13, {_}: divide (multiply identity (divide ?39 (divide (divide (divide identity identity) identity) ?40))) ?40 =>= ?39 [40, 39] by Super 2 with 3 at 1,2
% 0.11/0.30 Id : 24, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.11/0.30 Id : 26, {_}: multiply identity ?59 =>= inverse (inverse ?59) [59] by Super 24 with 4 at 3
% 0.11/0.30 Id : 209, {_}: divide (inverse (inverse (divide ?39 (divide (divide (divide identity identity) identity) ?40)))) ?40 =>= ?39 [40, 39] by Demod 13 with 26 at 1,2
% 0.11/0.30 Id : 40, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.11/0.30 Id : 47, {_}: multiply ?91 identity =<= divide ?91 identity [91] by Super 24 with 40 at 2,3
% 0.11/0.30 Id : 210, {_}: divide (inverse (inverse (divide ?39 (divide (multiply (divide identity identity) identity) ?40)))) ?40 =>= ?39 [40, 39] by Demod 209 with 47 at 1,2,1,1,1,2
% 0.11/0.30 Id : 211, {_}: divide (inverse (inverse (divide ?39 (divide (multiply (inverse identity) identity) ?40)))) ?40 =>= ?39 [40, 39] by Demod 210 with 4 at 1,1,2,1,1,1,2
% 0.11/0.30 Id : 41, {_}: multiply (inverse ?83) ?83 =>= identity [83] by Super 24 with 5 at 3
% 0.11/0.30 Id : 212, {_}: divide (inverse (inverse (divide ?39 (divide identity ?40)))) ?40 =>= ?39 [40, 39] by Demod 211 with 41 at 1,2,1,1,1,2
% 0.11/0.30 Id : 213, {_}: divide (inverse (inverse (divide ?39 (inverse ?40)))) ?40 =>= ?39 [40, 39] by Demod 212 with 4 at 2,1,1,1,2
% 0.11/0.30 Id : 214, {_}: divide (inverse (inverse (multiply ?39 ?40))) ?40 =>= ?39 [40, 39] by Demod 213 with 24 at 1,1,1,2
% 0.11/0.30 Id : 222, {_}: multiply (inverse (inverse (multiply ?362 identity))) identity =>= ?362 [362] by Super 47 with 214 at 3
% 0.11/0.30 Id : 63, {_}: divide (inverse (divide ?115 ?116)) ?117 =<= inverse (divide ?118 (divide ?116 (divide (inverse ?118) (divide (inverse ?115) ?117)))) [118, 117, 116, 115] by Demod 58 with 4 at 1,2,2,2,1,3
% 0.11/0.30 Id : 74, {_}: divide (inverse (divide ?175 (divide (inverse ?176) (divide (inverse ?175) ?177)))) ?177 =>= inverse (divide ?176 identity) [177, 176, 175] by Super 63 with 5 at 2,1,3
% 0.11/0.30 Id : 25, {_}: divide (inverse (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.11/0.30 Id : 36, {_}: divide (inverse (divide ?2 (divide ?3 (divide (divide identity ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 25 with 5 at 1,1,2,2,1,1,2
% 0.11/0.30 Id : 37, {_}: divide (inverse (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 36 with 4 at 1,2,2,1,1,2
% 0.11/0.30 Id : 87, {_}: inverse ?176 =<= inverse (divide ?176 identity) [176] by Demod 74 with 37 at 2
% 0.11/0.30 Id : 178, {_}: inverse ?176 =<= inverse (multiply ?176 identity) [176] by Demod 87 with 47 at 1,3
% 0.11/0.30 Id : 230, {_}: multiply (inverse (inverse ?362)) identity =>= ?362 [362] by Demod 222 with 178 at 1,1,2
% 0.11/0.30 Id : 239, {_}: divide (inverse (inverse ?382)) identity =>= inverse (inverse ?382) [382] by Super 214 with 230 at 1,1,1,2
% 0.11/0.30 Id : 247, {_}: multiply (inverse (inverse ?382)) identity =>= inverse (inverse ?382) [382] by Demod 239 with 47 at 2
% 0.11/0.30 Id : 248, {_}: ?382 =<= inverse (inverse ?382) [382] by Demod 247 with 230 at 2
% 0.11/0.30 Id : 253, {_}: multiply ?362 identity =>= ?362 [362] by Demod 230 with 248 at 1,2
% 0.11/0.30 Id : 256, {_}: ?91 =<= divide ?91 identity [91] by Demod 47 with 253 at 2
% 0.11/0.30 Id : 9, {_}: divide (divide identity (divide (divide identity ?24) (divide ?25 (divide (divide (multiply (divide identity ?24) ?24) (divide identity ?24)) ?26)))) ?26 =>= ?25 [26, 25, 24] by Super 2 with 3 at 1,1,2,2,2,1,2
% 0.11/0.30 Id : 19, {_}: divide (divide identity (divide (divide identity ?24) (divide ?25 (divide (multiply (multiply (divide identity ?24) ?24) ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 9 with 3 at 1,2,2,2,1,2
% 0.11/0.30 Id : 309, {_}: divide (inverse (divide (divide identity ?24) (divide ?25 (divide (multiply (multiply (divide identity ?24) ?24) ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 19 with 4 at 1,2
% 0.11/0.30 Id : 310, {_}: divide (inverse (divide (inverse ?24) (divide ?25 (divide (multiply (multiply (divide identity ?24) ?24) ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 309 with 4 at 1,1,1,2
% 0.11/0.30 Id : 311, {_}: divide (inverse (divide (inverse ?24) (divide ?25 (divide (multiply (multiply (inverse ?24) ?24) ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 310 with 4 at 1,1,1,2,2,1,1,2
% 0.11/0.30 Id : 312, {_}: divide (inverse (divide (inverse ?24) (divide ?25 (divide (multiply identity ?24) ?26)))) ?26 =>= ?25 [26, 25, 24] by Demod 311 with 41 at 1,1,2,2,1,1,2
% 0.11/0.30 Id : 254, {_}: multiply identity ?59 =>= ?59 [59] by Demod 26 with 248 at 3
% 0.11/0.30 Id : 322, {_}: divide (inverse (divide (inverse ?516) (divide ?517 (divide ?516 ?518)))) ?518 =>= ?517 [518, 517, 516] by Demod 312 with 254 at 1,2,2,1,1,2
% 0.11/0.30 Id : 255, {_}: divide (multiply ?39 ?40) ?40 =>= ?39 [40, 39] by Demod 214 with 248 at 1,2
% 0.11/0.30 Id : 333, {_}: divide (inverse (divide (inverse ?560) ?561)) ?562 =>= multiply ?561 (divide ?560 ?562) [562, 561, 560] by Super 322 with 255 at 2,1,1,2
% 0.11/0.30 Id : 420, {_}: inverse (divide (inverse ?639) ?640) =<= multiply ?640 (divide ?639 identity) [640, 639] by Super 256 with 333 at 3
% 0.11/0.30 Id : 456, {_}: inverse (divide (inverse ?639) ?640) =>= multiply ?640 ?639 [640, 639] by Demod 420 with 256 at 2,3
% 0.11/0.30 Id : 478, {_}: divide (inverse ?770) ?771 =>= inverse (multiply ?771 ?770) [771, 770] by Super 248 with 456 at 1,3
% 0.11/0.30 Id : 523, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 18, 17, 19] by Demod 59 with 478 at 2
% 0.11/0.30 Id : 524, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= inverse (divide ?20 (divide ?18 (inverse (multiply (divide (inverse ?17) ?19) ?20)))) [20, 18, 17, 19] by Demod 523 with 478 at 2,2,1,3
% 0.11/0.30 Id : 525, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= inverse (divide ?20 (divide ?18 (inverse (multiply (inverse (multiply ?19 ?17)) ?20)))) [20, 18, 17, 19] by Demod 524 with 478 at 1,1,2,2,1,3
% 0.11/0.30 Id : 526, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= inverse (divide ?20 (multiply ?18 (multiply (inverse (multiply ?19 ?17)) ?20))) [20, 18, 17, 19] by Demod 525 with 24 at 2,1,3
% 0.11/0.30 Id : 487, {_}: inverse (divide (inverse ?810) ?811) =>= multiply ?811 ?810 [811, 810] by Demod 420 with 256 at 2,3
% 0.11/0.30 Id : 491, {_}: inverse (divide ?825 ?826) =<= multiply ?826 (inverse ?825) [826, 825] by Super 487 with 248 at 1,1,2
% 0.11/0.30 Id : 261, {_}: multiply ?409 (inverse ?410) =>= divide ?409 ?410 [410, 409] by Super 24 with 248 at 2,3
% 0.11/0.30 Id : 511, {_}: inverse (divide ?825 ?826) =>= divide ?826 ?825 [826, 825] by Demod 491 with 261 at 3
% 0.11/0.30 Id : 569, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= divide (multiply ?18 (multiply (inverse (multiply ?19 ?17)) ?20)) ?20 [20, 18, 17, 19] by Demod 526 with 511 at 3
% 0.11/0.30 Id : 473, {_}: divide (multiply ?561 ?560) ?562 =>= multiply ?561 (divide ?560 ?562) [562, 560, 561] by Demod 333 with 456 at 1,2
% 0.11/0.30 Id : 570, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= multiply ?18 (divide (multiply (inverse (multiply ?19 ?17)) ?20) ?20) [20, 18, 17, 19] by Demod 569 with 473 at 3
% 0.11/0.30 Id : 571, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= multiply ?18 (multiply (inverse (multiply ?19 ?17)) (divide ?20 ?20)) [20, 18, 17, 19] by Demod 570 with 473 at 2,3
% 0.11/0.30 Id : 572, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= multiply ?18 (multiply (inverse (multiply ?19 ?17)) identity) [18, 17, 19] by Demod 571 with 5 at 2,2,3
% 0.11/0.30 Id : 573, {_}: inverse (multiply ?19 (divide ?17 ?18)) =<= multiply ?18 (inverse (multiply ?19 ?17)) [18, 17, 19] by Demod 572 with 253 at 2,3
% 0.11/0.30 Id : 574, {_}: inverse (multiply ?19 (divide ?17 ?18)) =>= divide ?18 (multiply ?19 ?17) [18, 17, 19] by Demod 573 with 261 at 3
% 0.11/0.30 Id : 495, {_}: inverse (multiply (inverse ?837) ?838) =>= multiply (inverse ?838) ?837 [838, 837] by Super 487 with 24 at 1,2
% 0.11/0.30 Id : 690, {_}: multiply (inverse (divide ?1037 ?1038)) ?1039 =<= divide ?1038 (multiply (inverse ?1039) ?1037) [1039, 1038, 1037] by Super 574 with 495 at 2
% 0.11/0.30 Id : 710, {_}: multiply (divide ?1038 ?1037) ?1039 =<= divide ?1038 (multiply (inverse ?1039) ?1037) [1039, 1037, 1038] by Demod 690 with 511 at 1,2
% 0.11/0.30 Id : 692, {_}: multiply ?1045 (multiply (inverse ?1046) ?1047) =<= divide ?1045 (multiply (inverse ?1047) ?1046) [1047, 1046, 1045] by Super 261 with 495 at 2,2
% 0.11/0.30 Id : 1311, {_}: multiply (divide ?1891 ?1892) ?1893 =<= multiply ?1891 (multiply (inverse ?1892) ?1893) [1893, 1892, 1891] by Demod 710 with 692 at 3
% 0.11/0.30 Id : 1316, {_}: multiply (divide ?1914 (inverse ?1915)) ?1916 =>= multiply ?1914 (multiply ?1915 ?1916) [1916, 1915, 1914] by Super 1311 with 248 at 1,2,3
% 0.11/0.30 Id : 1360, {_}: multiply (multiply ?1914 ?1915) ?1916 =>= multiply ?1914 (multiply ?1915 ?1916) [1916, 1915, 1914] by Demod 1316 with 24 at 1,2
% 0.11/0.30 Id : 1441, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 1360 at 2
% 0.11/0.30 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.11/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.30 31960: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.039104 using kbo
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