TSTP Solution File: GRP547-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP547-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n015.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 10:30:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP547-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n015.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 15:09:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 11585: Facts:
% 0.12/0.34 11585: Id : 2, {_}:
% 0.12/0.34 divide (divide identity (divide ?2 ?3)) (divide (divide ?3 ?4) ?2)
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 11585: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 11585: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 11585: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 11585: Goal:
% 0.12/0.34 11585: 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
% 0.19/0.47 Statistics :
% 0.19/0.47 Max weight : 18
% 0.19/0.47 Found proof, 0.126602s
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.47 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.47 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.19/0.47 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.19/0.47 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.19/0.47 Id : 2, {_}: divide (divide identity (divide ?2 ?3)) (divide (divide ?3 ?4) ?2) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.47 Id : 6, {_}: divide (divide identity (divide ?13 ?14)) (divide (divide ?14 ?15) ?13) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.19/0.47 Id : 8, {_}: divide (divide identity (divide (divide (divide ?22 ?23) ?24) identity)) ?23 =>= divide ?24 ?22 [24, 23, 22] by Super 6 with 2 at 2,2
% 0.19/0.47 Id : 92, {_}: divide (inverse (divide (divide (divide ?215 ?216) ?217) identity)) ?216 =>= divide ?217 ?215 [217, 216, 215] by Demod 8 with 4 at 1,2
% 0.19/0.47 Id : 101, {_}: divide (inverse (divide identity identity)) ?253 =?= divide (divide ?254 ?253) ?254 [254, 253] by Super 92 with 5 at 1,1,1,2
% 0.19/0.47 Id : 121, {_}: divide (inverse (inverse identity)) ?253 =<= divide (divide ?254 ?253) ?254 [254, 253] by Demod 101 with 4 at 1,1,2
% 0.19/0.47 Id : 30, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.19/0.47 Id : 122, {_}: divide (inverse identity) ?253 =<= divide (divide ?254 ?253) ?254 [254, 253] by Demod 121 with 30 at 1,1,2
% 0.19/0.47 Id : 123, {_}: divide identity ?253 =<= divide (divide ?254 ?253) ?254 [254, 253] by Demod 122 with 30 at 1,2
% 0.19/0.47 Id : 124, {_}: inverse ?253 =<= divide (divide ?254 ?253) ?254 [254, 253] by Demod 123 with 4 at 2
% 0.19/0.47 Id : 11, {_}: divide (divide identity (divide ?33 ?34)) (divide (multiply ?34 ?35) ?33) =>= divide identity ?35 [35, 34, 33] by Super 2 with 3 at 1,2,2
% 0.19/0.47 Id : 344, {_}: divide (inverse (divide ?33 ?34)) (divide (multiply ?34 ?35) ?33) =>= divide identity ?35 [35, 34, 33] by Demod 11 with 4 at 1,2
% 0.19/0.47 Id : 354, {_}: divide (inverse (divide ?666 ?667)) (divide (multiply ?667 ?668) ?666) =>= inverse ?668 [668, 667, 666] by Demod 344 with 4 at 3
% 0.19/0.47 Id : 18, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.19/0.47 Id : 37, {_}: multiply ?89 identity =<= divide ?89 identity [89] by Super 18 with 30 at 2,3
% 0.19/0.47 Id : 183, {_}: multiply (divide identity ?316) identity =>= inverse ?316 [316] by Super 37 with 124 at 3
% 0.19/0.47 Id : 296, {_}: multiply (inverse ?580) identity =>= inverse ?580 [580] by Demod 183 with 4 at 1,2
% 0.19/0.47 Id : 19, {_}: divide (inverse (divide ?2 ?3)) (divide (divide ?3 ?4) ?2) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.19/0.47 Id : 187, {_}: divide (inverse (divide ?329 ?329)) (inverse ?330) =>= ?330 [330, 329] by Super 19 with 124 at 2,2
% 0.19/0.47 Id : 205, {_}: multiply (inverse (divide ?329 ?329)) ?330 =>= ?330 [330, 329] by Demod 187 with 18 at 2
% 0.19/0.47 Id : 206, {_}: multiply (inverse identity) ?330 =>= ?330 [330] by Demod 205 with 5 at 1,1,2
% 0.19/0.47 Id : 207, {_}: multiply identity ?330 =>= ?330 [330] by Demod 206 with 30 at 1,2
% 0.19/0.47 Id : 20, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 18 with 4 at 3
% 0.19/0.47 Id : 208, {_}: inverse (inverse ?330) =>= ?330 [330] by Demod 207 with 20 at 2
% 0.19/0.47 Id : 300, {_}: multiply ?587 identity =>= inverse (inverse ?587) [587] by Super 296 with 208 at 1,2
% 0.19/0.47 Id : 308, {_}: multiply ?587 identity =>= ?587 [587] by Demod 300 with 208 at 3
% 0.19/0.47 Id : 312, {_}: ?89 =<= divide ?89 identity [89] by Demod 37 with 308 at 2
% 0.19/0.47 Id : 361, {_}: divide (inverse (divide identity ?690)) (multiply ?690 ?691) =>= inverse ?691 [691, 690] by Super 354 with 312 at 2,2
% 0.19/0.47 Id : 395, {_}: divide (inverse (inverse ?690)) (multiply ?690 ?691) =>= inverse ?691 [691, 690] by Demod 361 with 4 at 1,1,2
% 0.19/0.47 Id : 396, {_}: divide ?690 (multiply ?690 ?691) =>= inverse ?691 [691, 690] by Demod 395 with 208 at 1,2
% 0.19/0.47 Id : 505, {_}: inverse (multiply ?933 ?934) =<= divide (inverse ?934) ?933 [934, 933] by Super 124 with 396 at 1,3
% 0.19/0.47 Id : 507, {_}: inverse (multiply ?938 (inverse ?939)) =>= divide ?939 ?938 [939, 938] by Super 505 with 208 at 1,3
% 0.19/0.47 Id : 287, {_}: multiply ?567 (inverse ?568) =>= divide ?567 ?568 [568, 567] by Super 18 with 208 at 2,3
% 0.19/0.47 Id : 541, {_}: inverse (divide ?938 ?939) =>= divide ?939 ?938 [939, 938] by Demod 507 with 287 at 1,2
% 0.19/0.47 Id : 465, {_}: divide ?868 (multiply ?868 ?869) =>= inverse ?869 [869, 868] by Demod 395 with 208 at 1,2
% 0.19/0.47 Id : 468, {_}: divide ?875 (divide ?875 ?876) =>= inverse (inverse ?876) [876, 875] by Super 465 with 287 at 2,2
% 0.19/0.47 Id : 740, {_}: divide ?1390 (divide ?1390 ?1391) =>= ?1391 [1391, 1390] by Demod 468 with 208 at 3
% 0.19/0.47 Id : 12, {_}: divide (divide identity (divide (divide identity ?37) ?38)) (multiply (divide ?38 ?39) ?37) =>= ?39 [39, 38, 37] by Super 2 with 3 at 2,2
% 0.19/0.47 Id : 613, {_}: divide (inverse (divide (divide identity ?37) ?38)) (multiply (divide ?38 ?39) ?37) =>= ?39 [39, 38, 37] by Demod 12 with 4 at 1,2
% 0.19/0.47 Id : 456, {_}: inverse (multiply ?833 ?834) =<= divide (inverse ?834) ?833 [834, 833] by Super 124 with 396 at 1,3
% 0.19/0.47 Id : 614, {_}: inverse (multiply (multiply (divide ?38 ?39) ?37) (divide (divide identity ?37) ?38)) =>= ?39 [37, 39, 38] by Demod 613 with 456 at 2
% 0.19/0.47 Id : 615, {_}: inverse (multiply (multiply (divide ?38 ?39) ?37) (divide (inverse ?37) ?38)) =>= ?39 [37, 39, 38] by Demod 614 with 4 at 1,2,1,2
% 0.19/0.47 Id : 616, {_}: inverse (multiply (multiply (divide ?38 ?39) ?37) (inverse (multiply ?38 ?37))) =>= ?39 [37, 39, 38] by Demod 615 with 456 at 2,1,2
% 0.19/0.47 Id : 617, {_}: inverse (divide (multiply (divide ?38 ?39) ?37) (multiply ?38 ?37)) =>= ?39 [37, 39, 38] by Demod 616 with 287 at 1,2
% 0.19/0.47 Id : 618, {_}: divide (multiply ?38 ?37) (multiply (divide ?38 ?39) ?37) =>= ?39 [39, 37, 38] by Demod 617 with 541 at 2
% 0.19/0.47 Id : 743, {_}: divide (multiply ?1399 ?1400) ?1401 =>= multiply (divide ?1399 ?1401) ?1400 [1401, 1400, 1399] by Super 740 with 618 at 2,2
% 0.19/0.47 Id : 930, {_}: divide (multiply ?1804 ?1805) ?1806 =>= multiply (divide ?1804 ?1806) ?1805 [1806, 1805, 1804] by Super 740 with 618 at 2,2
% 0.19/0.47 Id : 285, {_}: multiply identity ?57 =>= ?57 [57] by Demod 20 with 208 at 3
% 0.19/0.47 Id : 932, {_}: divide ?1811 ?1812 =<= multiply (divide identity ?1812) ?1811 [1812, 1811] by Super 930 with 285 at 1,2
% 0.19/0.47 Id : 959, {_}: divide ?1811 ?1812 =<= multiply (inverse ?1812) ?1811 [1812, 1811] by Demod 932 with 4 at 1,3
% 0.19/0.47 Id : 979, {_}: divide (divide ?1884 ?1885) ?1886 =<= multiply (divide (inverse ?1885) ?1886) ?1884 [1886, 1885, 1884] by Super 743 with 959 at 1,2
% 0.19/0.47 Id : 993, {_}: divide (divide ?1884 ?1885) ?1886 =<= multiply (inverse (multiply ?1886 ?1885)) ?1884 [1886, 1885, 1884] by Demod 979 with 456 at 1,3
% 0.19/0.47 Id : 994, {_}: divide (divide ?1884 ?1885) ?1886 =>= divide ?1884 (multiply ?1886 ?1885) [1886, 1885, 1884] by Demod 993 with 959 at 3
% 0.19/0.47 Id : 1191, {_}: inverse (divide ?2104 (multiply ?2105 ?2106)) =>= divide ?2105 (divide ?2104 ?2106) [2106, 2105, 2104] by Super 541 with 994 at 1,2
% 0.19/0.47 Id : 1229, {_}: divide (multiply ?2105 ?2106) ?2104 =>= divide ?2105 (divide ?2104 ?2106) [2104, 2106, 2105] by Demod 1191 with 541 at 2
% 0.19/0.47 Id : 546, {_}: multiply ?981 (divide ?982 ?983) =<= divide ?981 (divide ?983 ?982) [983, 982, 981] by Super 287 with 541 at 2,2
% 0.19/0.47 Id : 1230, {_}: divide (multiply ?2105 ?2106) ?2104 =>= multiply ?2105 (divide ?2106 ?2104) [2104, 2106, 2105] by Demod 1229 with 546 at 3
% 0.19/0.47 Id : 1303, {_}: multiply (divide ?2306 ?2307) ?2308 =>= multiply ?2306 (divide ?2308 ?2307) [2308, 2307, 2306] by Demod 1230 with 743 at 2
% 0.19/0.47 Id : 1311, {_}: multiply (multiply ?2341 ?2342) ?2343 =<= multiply ?2341 (divide ?2343 (inverse ?2342)) [2343, 2342, 2341] by Super 1303 with 18 at 1,2
% 0.19/0.47 Id : 1364, {_}: multiply (multiply ?2341 ?2342) ?2343 =>= multiply ?2341 (multiply ?2343 ?2342) [2343, 2342, 2341] by Demod 1311 with 18 at 2,3
% 0.19/0.47 Id : 192, {_}: inverse ?349 =<= divide (divide ?350 ?349) ?350 [350, 349] by Demod 123 with 4 at 2
% 0.19/0.47 Id : 198, {_}: inverse (inverse ?369) =<= divide (multiply ?370 ?369) ?370 [370, 369] by Super 192 with 18 at 1,3
% 0.19/0.47 Id : 419, {_}: ?369 =<= divide (multiply ?370 ?369) ?370 [370, 369] by Demod 198 with 208 at 2
% 0.19/0.47 Id : 428, {_}: inverse ?769 =<= divide ?770 (multiply ?769 ?770) [770, 769] by Super 124 with 419 at 1,3
% 0.19/0.47 Id : 750, {_}: divide ?1418 (inverse ?1419) =>= multiply ?1419 ?1418 [1419, 1418] by Super 740 with 428 at 2,2
% 0.19/0.47 Id : 772, {_}: multiply ?1418 ?1419 =?= multiply ?1419 ?1418 [1419, 1418] by Demod 750 with 18 at 2
% 0.19/0.47 Id : 2258, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 2100 with 772 at 2,2
% 0.19/0.47 Id : 2100, {_}: multiply a3 (multiply c3 b3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 1364 at 2
% 0.19/0.47 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.47 11586: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.129099 using kbo
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