TSTP Solution File: GRP584-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n023.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 10:30:53 EDT 2022
% Result : Unsatisfiable 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n023.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 17:30:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 18744: Facts:
% 0.12/0.34 18744: Id : 2, {_}:
% 0.12/0.34 double_divide
% 0.12/0.34 (double_divide ?2
% 0.12/0.34 (double_divide (double_divide identity ?3)
% 0.12/0.34 (double_divide ?4 (double_divide ?3 ?2))))
% 0.12/0.34 (double_divide identity identity)
% 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 18744: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 18744: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.34 18744: Id : 5, {_}:
% 0.12/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.12/0.34 [11] by identity ?11
% 0.12/0.34 18744: Goal:
% 0.12/0.34 18744: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.18/0.44 Statistics :
% 0.18/0.44 Max weight : 28
% 0.18/0.44 Found proof, 0.099493s
% 0.18/0.44 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.44 Id : 6, {_}: double_divide (double_divide ?13 (double_divide (double_divide identity ?14) (double_divide ?15 (double_divide ?14 ?13)))) (double_divide identity identity) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.18/0.44 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.18/0.44 Id : 25, {_}: identity =<= double_divide ?65 (inverse ?65) [65] by identity ?65
% 0.18/0.44 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.18/0.44 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.18/0.44 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.44 Id : 16, {_}: double_divide (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2
% 0.18/0.44 Id : 10, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?28 ?29)) (double_divide ?30 (multiply ?29 ?28)))) (double_divide identity identity) =>= ?30 [30, 29, 28] by Super 2 with 3 at 2,2,2,1,2
% 0.18/0.44 Id : 185, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?449 ?450)) (double_divide ?451 (multiply ?450 ?449)))) (inverse identity) =>= ?451 [451, 450, 449] by Demod 10 with 4 at 2,2
% 0.18/0.44 Id : 15, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.18/0.44 Id : 26, {_}: identity =<= double_divide (double_divide ?67 ?68) (multiply ?68 ?67) [68, 67] by Super 25 with 15 at 2,3
% 0.18/0.44 Id : 189, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?463 ?464)) identity)) (inverse identity) =>= double_divide ?463 ?464 [464, 463] by Super 185 with 26 at 2,2,1,2
% 0.18/0.44 Id : 207, {_}: double_divide (double_divide identity (inverse (double_divide identity (double_divide ?463 ?464)))) (inverse identity) =>= double_divide ?463 ?464 [464, 463] by Demod 189 with 4 at 2,1,2
% 0.18/0.44 Id : 264, {_}: double_divide (double_divide identity (multiply (double_divide ?573 ?574) identity)) (inverse identity) =>= double_divide ?573 ?574 [574, 573] by Demod 207 with 15 at 2,1,2
% 0.18/0.44 Id : 265, {_}: double_divide (double_divide identity (multiply ?576 identity)) (inverse identity) =<= double_divide (double_divide ?577 (double_divide (double_divide identity ?578) (double_divide ?576 (double_divide ?578 ?577)))) (inverse identity) [578, 577, 576] by Super 264 with 16 at 1,2,1,2
% 0.18/0.44 Id : 377, {_}: double_divide (double_divide identity (multiply ?752 identity)) (inverse identity) =>= ?752 [752] by Demod 265 with 16 at 3
% 0.18/0.44 Id : 24, {_}: multiply (inverse ?63) ?63 =>= inverse identity [63] by Super 15 with 5 at 1,3
% 0.18/0.44 Id : 379, {_}: double_divide (double_divide identity (inverse identity)) (inverse identity) =>= inverse identity [] by Super 377 with 24 at 2,1,2
% 0.18/0.44 Id : 382, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Demod 379 with 5 at 1,2
% 0.18/0.44 Id : 383, {_}: identity =<= inverse identity [] by Demod 382 with 5 at 2
% 0.18/0.44 Id : 401, {_}: double_divide (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) identity =>= ?4 [4, 3, 2] by Demod 16 with 383 at 2,2
% 0.18/0.44 Id : 430, {_}: inverse (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) =>= ?4 [4, 3, 2] by Demod 401 with 4 at 2
% 0.18/0.44 Id : 431, {_}: multiply (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2))) ?2 =>= ?4 [2, 4, 3] by Demod 430 with 15 at 2
% 0.18/0.44 Id : 187, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?456 (inverse ?456))) (double_divide ?457 (inverse identity)))) (inverse identity) =>= ?457 [457, 456] by Super 185 with 24 at 2,2,2,1,2
% 0.18/0.44 Id : 203, {_}: double_divide (double_divide identity (double_divide (double_divide identity identity) (double_divide ?457 (inverse identity)))) (inverse identity) =>= ?457 [457] by Demod 187 with 5 at 2,1,2,1,2
% 0.18/0.44 Id : 204, {_}: double_divide (double_divide identity (double_divide (inverse identity) (double_divide ?457 (inverse identity)))) (inverse identity) =>= ?457 [457] by Demod 203 with 4 at 1,2,1,2
% 0.18/0.44 Id : 524, {_}: double_divide (double_divide identity (double_divide identity (double_divide ?457 (inverse identity)))) (inverse identity) =>= ?457 [457] by Demod 204 with 383 at 1,2,1,2
% 0.18/0.44 Id : 525, {_}: double_divide (double_divide identity (double_divide identity (double_divide ?457 identity))) (inverse identity) =>= ?457 [457] by Demod 524 with 383 at 2,2,2,1,2
% 0.18/0.44 Id : 526, {_}: double_divide (double_divide identity (double_divide identity (double_divide ?457 identity))) identity =>= ?457 [457] by Demod 525 with 383 at 2,2
% 0.18/0.44 Id : 527, {_}: inverse (double_divide identity (double_divide identity (double_divide ?457 identity))) =>= ?457 [457] by Demod 526 with 4 at 2
% 0.18/0.44 Id : 528, {_}: multiply (double_divide identity (double_divide ?457 identity)) identity =>= ?457 [457] by Demod 527 with 15 at 2
% 0.18/0.44 Id : 529, {_}: multiply (double_divide identity (inverse ?457)) identity =>= ?457 [457] by Demod 528 with 4 at 2,1,2
% 0.18/0.44 Id : 533, {_}: identity =<= double_divide (double_divide identity (double_divide identity (inverse ?770))) ?770 [770] by Super 26 with 529 at 2,3
% 0.18/0.44 Id : 279, {_}: double_divide (double_divide identity (multiply ?576 identity)) (inverse identity) =>= ?576 [576] by Demod 265 with 16 at 3
% 0.18/0.44 Id : 384, {_}: double_divide (double_divide identity (multiply ?576 identity)) identity =>= ?576 [576] by Demod 279 with 383 at 2,2
% 0.18/0.44 Id : 453, {_}: inverse (double_divide identity (multiply ?576 identity)) =>= ?576 [576] by Demod 384 with 4 at 2
% 0.18/0.44 Id : 454, {_}: multiply (multiply ?576 identity) identity =>= ?576 [576] by Demod 453 with 15 at 2
% 0.18/0.44 Id : 530, {_}: multiply ?762 identity =<= double_divide identity (inverse ?762) [762] by Super 454 with 529 at 1,2
% 0.18/0.44 Id : 798, {_}: identity =<= double_divide (double_divide identity (multiply ?770 identity)) ?770 [770] by Demod 533 with 530 at 2,1,3
% 0.18/0.44 Id : 598, {_}: multiply ?860 identity =<= double_divide identity (inverse ?860) [860] by Super 454 with 529 at 1,2
% 0.18/0.44 Id : 600, {_}: multiply (double_divide ?864 ?865) identity =<= double_divide identity (multiply ?865 ?864) [865, 864] by Super 598 with 15 at 2,3
% 0.18/0.44 Id : 799, {_}: identity =<= double_divide (multiply (double_divide identity ?770) identity) ?770 [770] by Demod 798 with 600 at 1,3
% 0.18/0.44 Id : 804, {_}: multiply (double_divide (double_divide identity ?1033) identity) ?1034 =>= multiply (double_divide identity (double_divide ?1033 ?1034)) identity [1034, 1033] by Super 431 with 799 at 2,1,2
% 0.18/0.44 Id : 853, {_}: multiply (inverse (double_divide identity ?1033)) ?1034 =<= multiply (double_divide identity (double_divide ?1033 ?1034)) identity [1034, 1033] by Demod 804 with 4 at 1,2
% 0.18/0.44 Id : 854, {_}: multiply (multiply ?1033 identity) ?1034 =<= multiply (double_divide identity (double_divide ?1033 ?1034)) identity [1034, 1033] by Demod 853 with 15 at 1,2
% 0.18/0.44 Id : 19, {_}: double_divide (double_divide ?50 (double_divide (inverse identity) (double_divide ?51 (double_divide identity ?50)))) (inverse identity) =>= ?51 [51, 50] by Super 16 with 4 at 1,2,1,2
% 0.18/0.44 Id : 937, {_}: double_divide (double_divide ?50 (double_divide identity (double_divide ?51 (double_divide identity ?50)))) (inverse identity) =>= ?51 [51, 50] by Demod 19 with 383 at 1,2,1,2
% 0.18/0.44 Id : 938, {_}: double_divide (double_divide ?50 (double_divide identity (double_divide ?51 (double_divide identity ?50)))) identity =>= ?51 [51, 50] by Demod 937 with 383 at 2,2
% 0.18/0.44 Id : 939, {_}: inverse (double_divide ?50 (double_divide identity (double_divide ?51 (double_divide identity ?50)))) =>= ?51 [51, 50] by Demod 938 with 4 at 2
% 0.18/0.44 Id : 950, {_}: multiply (double_divide identity (double_divide ?1115 (double_divide identity ?1116))) ?1116 =>= ?1115 [1116, 1115] by Demod 939 with 15 at 2
% 0.18/0.44 Id : 8, {_}: double_divide (double_divide identity (double_divide (double_divide identity identity) ?22)) (double_divide identity identity) =?= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Super 6 with 2 at 2,2,1,2
% 0.18/0.44 Id : 81, {_}: double_divide (double_divide identity (double_divide (inverse identity) ?22)) (double_divide identity identity) =?= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 8 with 4 at 1,2,1,2
% 0.18/0.44 Id : 82, {_}: double_divide (double_divide identity (double_divide (inverse identity) ?22)) (inverse identity) =?= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 81 with 4 at 2,2
% 0.18/0.44 Id : 397, {_}: double_divide (double_divide identity (double_divide identity ?22)) (inverse identity) =?= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 82 with 383 at 1,2,1,2
% 0.18/0.44 Id : 398, {_}: double_divide (double_divide identity (double_divide identity ?22)) identity =<= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 397 with 383 at 2,2
% 0.18/0.44 Id : 435, {_}: inverse (double_divide identity (double_divide identity ?22)) =<= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 398 with 4 at 2
% 0.18/0.44 Id : 436, {_}: multiply (double_divide identity ?22) identity =<= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 435 with 15 at 2
% 0.18/0.44 Id : 957, {_}: multiply (multiply (double_divide identity identity) identity) (double_divide ?1135 identity) =>= double_divide identity ?1135 [1135] by Super 950 with 436 at 1,2
% 0.18/0.44 Id : 988, {_}: multiply (multiply (inverse identity) identity) (double_divide ?1135 identity) =>= double_divide identity ?1135 [1135] by Demod 957 with 4 at 1,1,2
% 0.18/0.44 Id : 989, {_}: multiply (multiply (inverse identity) identity) (inverse ?1135) =>= double_divide identity ?1135 [1135] by Demod 988 with 4 at 2,2
% 0.18/0.44 Id : 402, {_}: multiply (inverse ?63) ?63 =>= identity [63] by Demod 24 with 383 at 3
% 0.18/0.44 Id : 990, {_}: multiply identity (inverse ?1135) =>= double_divide identity ?1135 [1135] by Demod 989 with 402 at 1,2
% 0.18/0.44 Id : 17, {_}: multiply identity ?45 =>= inverse (inverse ?45) [45] by Super 15 with 4 at 1,3
% 0.18/0.44 Id : 997, {_}: inverse (inverse (inverse ?1150)) =>= double_divide identity ?1150 [1150] by Demod 990 with 17 at 2
% 0.18/0.44 Id : 999, {_}: inverse (inverse (multiply ?1154 ?1155)) =<= double_divide identity (double_divide ?1155 ?1154) [1155, 1154] by Super 997 with 15 at 1,1,2
% 0.18/0.44 Id : 1231, {_}: multiply (multiply ?1033 identity) ?1034 =<= multiply (inverse (inverse (multiply ?1034 ?1033))) identity [1034, 1033] by Demod 854 with 999 at 1,3
% 0.18/0.44 Id : 591, {_}: multiply (inverse ?844) identity =>= inverse (multiply ?844 identity) [844] by Super 15 with 530 at 1,3
% 0.18/0.45 Id : 1232, {_}: multiply (multiply ?1033 identity) ?1034 =<= inverse (multiply (inverse (multiply ?1034 ?1033)) identity) [1034, 1033] by Demod 1231 with 591 at 3
% 0.18/0.45 Id : 1233, {_}: multiply (multiply ?1033 identity) ?1034 =<= inverse (inverse (multiply (multiply ?1034 ?1033) identity)) [1034, 1033] by Demod 1232 with 591 at 1,3
% 0.18/0.45 Id : 940, {_}: multiply (double_divide identity (double_divide ?51 (double_divide identity ?50))) ?50 =>= ?51 [50, 51] by Demod 939 with 15 at 2
% 0.18/0.45 Id : 1132, {_}: multiply (inverse (inverse (multiply (double_divide identity ?50) ?51))) ?50 =>= ?51 [51, 50] by Demod 940 with 999 at 1,2
% 0.18/0.45 Id : 1243, {_}: multiply (multiply ?1345 identity) ?1346 =<= inverse (inverse (multiply (multiply ?1346 ?1345) identity)) [1346, 1345] by Demod 1232 with 591 at 1,3
% 0.18/0.45 Id : 808, {_}: multiply ?1041 (multiply (double_divide identity ?1041) identity) =>= inverse identity [1041] by Super 15 with 799 at 1,3
% 0.18/0.45 Id : 843, {_}: multiply ?1041 (multiply (double_divide identity ?1041) identity) =>= identity [1041] by Demod 808 with 383 at 3
% 0.18/0.45 Id : 1251, {_}: multiply (multiply (multiply (double_divide identity ?1366) identity) identity) ?1366 =>= inverse (inverse (multiply identity identity)) [1366] by Super 1243 with 843 at 1,1,1,3
% 0.18/0.45 Id : 1303, {_}: multiply (double_divide identity ?1366) ?1366 =>= inverse (inverse (multiply identity identity)) [1366] by Demod 1251 with 454 at 1,2
% 0.18/0.45 Id : 1304, {_}: multiply (double_divide identity ?1366) ?1366 =>= inverse (inverse (inverse (inverse identity))) [1366] by Demod 1303 with 17 at 1,1,3
% 0.18/0.45 Id : 991, {_}: inverse (inverse (inverse ?1135)) =>= double_divide identity ?1135 [1135] by Demod 990 with 17 at 2
% 0.18/0.45 Id : 1305, {_}: multiply (double_divide identity ?1366) ?1366 =?= double_divide identity (inverse identity) [1366] by Demod 1304 with 991 at 3
% 0.18/0.45 Id : 1306, {_}: multiply (double_divide identity ?1366) ?1366 =>= identity [1366] by Demod 1305 with 5 at 3
% 0.18/0.45 Id : 1323, {_}: multiply (inverse (inverse identity)) ?1389 =>= ?1389 [1389] by Super 1132 with 1306 at 1,1,1,2
% 0.18/0.45 Id : 1337, {_}: multiply (inverse identity) ?1389 =>= ?1389 [1389] by Demod 1323 with 383 at 1,1,2
% 0.18/0.45 Id : 1338, {_}: multiply identity ?1389 =>= ?1389 [1389] by Demod 1337 with 383 at 1,2
% 0.18/0.45 Id : 1339, {_}: inverse (inverse ?1389) =>= ?1389 [1389] by Demod 1338 with 17 at 2
% 0.18/0.45 Id : 1372, {_}: multiply (multiply ?1033 identity) ?1034 =?= multiply (multiply ?1034 ?1033) identity [1034, 1033] by Demod 1233 with 1339 at 3
% 0.18/0.45 Id : 638, {_}: multiply (inverse ?881) identity =>= inverse (multiply ?881 identity) [881] by Super 15 with 530 at 1,3
% 0.18/0.45 Id : 640, {_}: multiply (multiply ?885 ?886) identity =<= inverse (multiply (double_divide ?886 ?885) identity) [886, 885] by Super 638 with 15 at 1,2
% 0.18/0.45 Id : 1368, {_}: inverse ?1135 =<= double_divide identity ?1135 [1135] by Demod 991 with 1339 at 2
% 0.18/0.45 Id : 1380, {_}: multiply (double_divide ?864 ?865) identity =>= inverse (multiply ?865 ?864) [865, 864] by Demod 600 with 1368 at 3
% 0.18/0.45 Id : 1386, {_}: multiply (multiply ?885 ?886) identity =>= inverse (inverse (multiply ?885 ?886)) [886, 885] by Demod 640 with 1380 at 1,3
% 0.18/0.45 Id : 1388, {_}: multiply (multiply ?885 ?886) identity =>= multiply ?885 ?886 [886, 885] by Demod 1386 with 1339 at 3
% 0.18/0.45 Id : 1389, {_}: multiply (multiply ?1033 identity) ?1034 =>= multiply ?1034 ?1033 [1034, 1033] by Demod 1372 with 1388 at 3
% 0.18/0.45 Id : 1390, {_}: multiply ?576 identity =>= ?576 [576] by Demod 454 with 1388 at 2
% 0.18/0.45 Id : 1397, {_}: multiply ?1033 ?1034 =?= multiply ?1034 ?1033 [1034, 1033] by Demod 1389 with 1390 at 1,2
% 0.18/0.45 Id : 1426, {_}: multiply a b === multiply a b [] by Demod 1 with 1397 at 3
% 0.18/0.45 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.18/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.45 18744: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.106376 using nrkbo
%------------------------------------------------------------------------------