TSTP Solution File: GRP495-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n028.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 10:30:31 EDT 2022
% Result : Unsatisfiable 0.18s 0.45s
% 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
% 0.06/0.11 % Problem : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 14 13:57:09 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 19247: Facts:
% 0.11/0.33 19247: Id : 2, {_}:
% 0.11/0.33 double_divide (double_divide identity ?2)
% 0.11/0.33 (double_divide
% 0.11/0.33 (double_divide (double_divide ?3 ?4)
% 0.11/0.33 (double_divide identity identity)) (double_divide ?2 ?4))
% 0.11/0.33 =>=
% 0.11/0.33 ?3
% 0.11/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.11/0.33 19247: Id : 3, {_}:
% 0.11/0.33 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.11/0.33 [7, 6] by multiply ?6 ?7
% 0.11/0.33 19247: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.11/0.33 19247: Id : 5, {_}:
% 0.11/0.33 identity =<= double_divide ?11 (inverse ?11)
% 0.11/0.33 [11] by identity ?11
% 0.11/0.33 19247: Goal:
% 0.11/0.33 19247: Id : 1, {_}:
% 0.11/0.33 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.11/0.33 [] by prove_these_axioms_3
% 0.18/0.45 Statistics :
% 0.18/0.45 Max weight : 22
% 0.18/0.45 Found proof, 0.124359s
% 0.18/0.45 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.45 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.45 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.18/0.45 Id : 30, {_}: identity =<= double_divide ?76 (inverse ?76) [76] by identity ?76
% 0.18/0.45 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.18/0.45 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.18/0.45 Id : 2, {_}: double_divide (double_divide identity ?2) (double_divide (double_divide (double_divide ?3 ?4) (double_divide identity identity)) (double_divide ?2 ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.45 Id : 10, {_}: double_divide (double_divide identity (double_divide ?29 ?30)) (double_divide (double_divide (double_divide ?31 identity) (double_divide identity identity)) (multiply ?30 ?29)) =>= ?31 [31, 30, 29] by Super 2 with 3 at 2,2,2
% 0.18/0.45 Id : 201, {_}: double_divide (double_divide identity (double_divide ?29 ?30)) (double_divide (double_divide (inverse ?31) (double_divide identity identity)) (multiply ?30 ?29)) =>= ?31 [31, 30, 29] by Demod 10 with 4 at 1,1,2,2
% 0.18/0.45 Id : 212, {_}: double_divide (double_divide identity (double_divide ?531 ?532)) (double_divide (double_divide (inverse ?533) (inverse identity)) (multiply ?532 ?531)) =>= ?533 [533, 532, 531] by Demod 201 with 4 at 2,1,2,2
% 0.18/0.45 Id : 16, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.18/0.45 Id : 31, {_}: identity =<= double_divide (double_divide ?78 ?79) (multiply ?79 ?78) [79, 78] by Super 30 with 16 at 2,3
% 0.18/0.45 Id : 217, {_}: double_divide (double_divide identity (double_divide (inverse ?550) (inverse identity))) identity =>= ?550 [550] by Super 212 with 31 at 2,2
% 0.18/0.45 Id : 234, {_}: inverse (double_divide identity (double_divide (inverse ?550) (inverse identity))) =>= ?550 [550] by Demod 217 with 4 at 2
% 0.18/0.45 Id : 235, {_}: multiply (double_divide (inverse ?550) (inverse identity)) identity =>= ?550 [550] by Demod 234 with 16 at 2
% 0.18/0.45 Id : 17, {_}: double_divide (double_divide identity ?2) (double_divide (double_divide (double_divide ?3 ?4) (inverse identity)) (double_divide ?2 ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 2,1,2,2
% 0.18/0.45 Id : 27, {_}: double_divide (double_divide identity ?68) (double_divide (double_divide identity (inverse identity)) (double_divide ?68 (inverse ?69))) =>= ?69 [69, 68] by Super 17 with 5 at 1,1,2,2
% 0.18/0.45 Id : 170, {_}: double_divide (double_divide identity ?414) (double_divide identity (double_divide ?414 (inverse ?415))) =>= ?415 [415, 414] by Demod 27 with 5 at 1,2,2
% 0.18/0.45 Id : 172, {_}: double_divide (double_divide identity ?421) (double_divide identity identity) =>= ?421 [421] by Super 170 with 5 at 2,2,2
% 0.18/0.45 Id : 176, {_}: double_divide (double_divide identity ?421) (inverse identity) =>= ?421 [421] by Demod 172 with 4 at 2,2
% 0.18/0.46 Id : 192, {_}: double_divide (double_divide identity ?479) (inverse identity) =>= ?479 [479] by Demod 172 with 4 at 2,2
% 0.18/0.46 Id : 194, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Super 192 with 5 at 1,2
% 0.18/0.46 Id : 200, {_}: identity =<= inverse identity [] by Demod 194 with 5 at 2
% 0.18/0.46 Id : 242, {_}: double_divide (double_divide identity ?421) identity =>= ?421 [421] by Demod 176 with 200 at 2,2
% 0.18/0.46 Id : 259, {_}: inverse (double_divide identity ?421) =>= ?421 [421] by Demod 242 with 4 at 2
% 0.18/0.46 Id : 260, {_}: multiply ?421 identity =>= ?421 [421] by Demod 259 with 16 at 2
% 0.18/0.46 Id : 285, {_}: double_divide (inverse ?550) (inverse identity) =>= ?550 [550] by Demod 235 with 260 at 2
% 0.18/0.46 Id : 286, {_}: double_divide (inverse ?550) identity =>= ?550 [550] by Demod 285 with 200 at 2,2
% 0.18/0.46 Id : 287, {_}: inverse (inverse ?550) =>= ?550 [550] by Demod 286 with 4 at 2
% 0.18/0.46 Id : 245, {_}: double_divide (double_divide identity ?2) (double_divide (double_divide (double_divide ?3 ?4) identity) (double_divide ?2 ?4)) =>= ?3 [4, 3, 2] by Demod 17 with 200 at 2,1,2,2
% 0.18/0.46 Id : 257, {_}: double_divide (double_divide identity ?2) (double_divide (inverse (double_divide ?3 ?4)) (double_divide ?2 ?4)) =>= ?3 [4, 3, 2] by Demod 245 with 4 at 1,2,2
% 0.18/0.46 Id : 258, {_}: double_divide (double_divide identity ?2) (double_divide (multiply ?4 ?3) (double_divide ?2 ?4)) =>= ?3 [3, 4, 2] by Demod 257 with 16 at 1,2,2
% 0.18/0.46 Id : 294, {_}: inverse (inverse ?618) =>= ?618 [618] by Demod 286 with 4 at 2
% 0.18/0.46 Id : 296, {_}: inverse (multiply ?622 ?623) =<= double_divide ?623 ?622 [623, 622] by Super 294 with 16 at 1,2
% 0.18/0.46 Id : 305, {_}: inverse (multiply (double_divide (multiply ?4 ?3) (double_divide ?2 ?4)) (double_divide identity ?2)) =>= ?3 [2, 3, 4] by Demod 258 with 296 at 2
% 0.18/0.46 Id : 306, {_}: inverse (multiply (inverse (multiply (double_divide ?2 ?4) (multiply ?4 ?3))) (double_divide identity ?2)) =>= ?3 [3, 4, 2] by Demod 305 with 296 at 1,1,2
% 0.18/0.46 Id : 307, {_}: inverse (multiply (inverse (multiply (double_divide ?2 ?4) (multiply ?4 ?3))) (inverse (multiply ?2 identity))) =>= ?3 [3, 4, 2] by Demod 306 with 296 at 2,1,2
% 0.18/0.46 Id : 308, {_}: inverse (multiply (inverse (multiply (inverse (multiply ?4 ?2)) (multiply ?4 ?3))) (inverse (multiply ?2 identity))) =>= ?3 [3, 2, 4] by Demod 307 with 296 at 1,1,1,1,2
% 0.18/0.46 Id : 343, {_}: inverse (multiply (inverse (multiply (inverse (multiply ?4 ?2)) (multiply ?4 ?3))) (inverse ?2)) =>= ?3 [3, 2, 4] by Demod 308 with 260 at 1,2,1,2
% 0.18/0.46 Id : 291, {_}: identity =<= double_divide (inverse ?611) ?611 [611] by Super 5 with 287 at 2,3
% 0.18/0.46 Id : 350, {_}: identity =<= inverse (multiply ?611 (inverse ?611)) [611] by Demod 291 with 296 at 3
% 0.18/0.46 Id : 353, {_}: inverse (multiply (inverse (multiply identity (multiply ?641 ?642))) (inverse (inverse ?641))) =>= ?642 [642, 641] by Super 343 with 350 at 1,1,1,1,2
% 0.18/0.46 Id : 18, {_}: multiply identity ?50 =>= inverse (inverse ?50) [50] by Super 16 with 4 at 1,3
% 0.18/0.46 Id : 289, {_}: multiply identity ?50 =>= ?50 [50] by Demod 18 with 287 at 3
% 0.18/0.46 Id : 395, {_}: inverse (multiply (inverse (multiply ?641 ?642)) (inverse (inverse ?641))) =>= ?642 [642, 641] by Demod 353 with 289 at 1,1,1,2
% 0.18/0.46 Id : 396, {_}: inverse (multiply (inverse (multiply ?641 ?642)) ?641) =>= ?642 [642, 641] by Demod 395 with 287 at 2,1,2
% 0.18/0.46 Id : 703, {_}: inverse ?1164 =<= multiply (inverse (multiply ?1165 ?1164)) ?1165 [1165, 1164] by Super 287 with 396 at 1,2
% 0.18/0.46 Id : 650, {_}: inverse ?1042 =<= multiply (inverse (multiply ?1043 ?1042)) ?1043 [1043, 1042] by Super 287 with 396 at 1,2
% 0.18/0.46 Id : 708, {_}: inverse ?1175 =<= multiply (inverse (inverse ?1176)) (inverse (multiply ?1175 ?1176)) [1176, 1175] by Super 703 with 650 at 1,1,3
% 0.18/0.46 Id : 749, {_}: inverse ?1245 =<= multiply ?1246 (inverse (multiply ?1245 ?1246)) [1246, 1245] by Demod 708 with 287 at 1,3
% 0.18/0.46 Id : 759, {_}: inverse (inverse (multiply (inverse (multiply ?1275 ?1276)) (multiply ?1275 ?1277))) =>= multiply (inverse ?1276) ?1277 [1277, 1276, 1275] by Super 749 with 343 at 2,3
% 0.18/0.46 Id : 1176, {_}: multiply (inverse (multiply ?1857 ?1858)) (multiply ?1857 ?1859) =>= multiply (inverse ?1858) ?1859 [1859, 1858, 1857] by Demod 759 with 287 at 2
% 0.18/0.46 Id : 733, {_}: inverse ?1175 =<= multiply ?1176 (inverse (multiply ?1175 ?1176)) [1176, 1175] by Demod 708 with 287 at 1,3
% 0.18/0.46 Id : 1194, {_}: multiply (inverse (inverse ?1923)) (multiply ?1924 ?1925) =<= multiply (inverse (inverse (multiply ?1923 ?1924))) ?1925 [1925, 1924, 1923] by Super 1176 with 733 at 1,1,2
% 0.18/0.46 Id : 1230, {_}: multiply ?1923 (multiply ?1924 ?1925) =<= multiply (inverse (inverse (multiply ?1923 ?1924))) ?1925 [1925, 1924, 1923] by Demod 1194 with 287 at 1,2
% 0.18/0.46 Id : 1231, {_}: multiply ?1923 (multiply ?1924 ?1925) =<= multiply (multiply ?1923 ?1924) ?1925 [1925, 1924, 1923] by Demod 1230 with 287 at 1,3
% 0.18/0.46 Id : 1300, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 1231 at 2
% 0.18/0.46 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.18/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.46 19249: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.127884 using lpo
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