TSTP Solution File: GRP562-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n019.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 10:30:47 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 09:57:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 11139: Facts:
% 0.14/0.35 11139: Id : 2, {_}:
% 0.14/0.35 divide (divide (divide ?2 (inverse ?3)) ?4) (divide ?2 ?4) =>= ?3
% 0.14/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.35 11139: Id : 3, {_}:
% 0.14/0.35 multiply ?6 ?7 =<= divide ?6 (inverse ?7)
% 0.14/0.35 [7, 6] by multiply ?6 ?7
% 0.14/0.35 11139: Goal:
% 0.14/0.35 11139: Id : 1, {_}:
% 0.14/0.35 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.14/0.35 [] by prove_these_axioms_2
% 0.14/0.39 Statistics :
% 0.14/0.39 Max weight : 22
% 0.14/0.39 Found proof, 0.038151s
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.39 Id : 4, {_}: divide (divide (divide ?9 (inverse ?10)) ?11) (divide ?9 ?11) =>= ?10 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.14/0.39 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by multiply ?6 ?7
% 0.14/0.39 Id : 2, {_}: divide (divide (divide ?2 (inverse ?3)) ?4) (divide ?2 ?4) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.39 Id : 8, {_}: divide (divide (multiply ?2 ?3) ?4) (divide ?2 ?4) =>= ?3 [4, 3, 2] by Demod 2 with 3 at 1,1,2
% 0.14/0.39 Id : 9, {_}: divide (divide (multiply ?24 ?25) (inverse ?26)) (multiply ?24 ?26) =>= ?25 [26, 25, 24] by Super 8 with 3 at 2,2
% 0.14/0.39 Id : 13, {_}: divide (multiply (multiply ?24 ?25) ?26) (multiply ?24 ?26) =>= ?25 [26, 25, 24] by Demod 9 with 3 at 1,2
% 0.14/0.39 Id : 16, {_}: divide ?43 (divide (multiply ?44 ?43) (multiply ?44 ?45)) =>= ?45 [45, 44, 43] by Super 8 with 13 at 1,2
% 0.14/0.39 Id : 5, {_}: divide (divide (divide (divide (divide ?13 (inverse ?14)) ?15) (inverse ?16)) (divide ?13 ?15)) ?14 =>= ?16 [16, 15, 14, 13] by Super 4 with 2 at 2,2
% 0.14/0.39 Id : 83, {_}: divide (divide (multiply (divide (divide ?13 (inverse ?14)) ?15) ?16) (divide ?13 ?15)) ?14 =>= ?16 [16, 15, 14, 13] by Demod 5 with 3 at 1,1,2
% 0.14/0.39 Id : 87, {_}: divide (divide (multiply (divide (multiply ?401 ?402) ?403) ?404) (divide ?401 ?403)) ?402 =>= ?404 [404, 403, 402, 401] by Demod 83 with 3 at 1,1,1,1,2
% 0.14/0.39 Id : 15, {_}: divide (divide (multiply (multiply (multiply ?38 ?39) ?40) ?41) (multiply ?38 ?40)) ?39 =>= ?41 [41, 40, 39, 38] by Super 8 with 13 at 2,2
% 0.14/0.39 Id : 28, {_}: multiply (divide (multiply (multiply (multiply ?75 (inverse ?76)) ?77) ?78) (multiply ?75 ?77)) ?76 =>= ?78 [78, 77, 76, 75] by Super 3 with 15 at 3
% 0.14/0.39 Id : 102, {_}: divide (divide ?494 (divide (multiply (multiply ?495 (inverse ?496)) ?497) (multiply ?495 ?497))) ?494 =>= ?496 [497, 496, 495, 494] by Super 87 with 28 at 1,1,2
% 0.14/0.39 Id : 111, {_}: divide (divide ?494 (inverse ?496)) ?494 =>= ?496 [496, 494] by Demod 102 with 13 at 2,1,2
% 0.14/0.39 Id : 112, {_}: divide (multiply ?494 ?496) ?494 =>= ?496 [496, 494] by Demod 111 with 3 at 1,2
% 0.14/0.39 Id : 117, {_}: divide ?518 (divide ?519 ?519) =>= ?518 [519, 518] by Super 8 with 112 at 1,2
% 0.14/0.39 Id : 141, {_}: multiply (divide ?603 ?603) ?604 =>= ?604 [604, 603] by Super 112 with 117 at 2
% 0.14/0.39 Id : 171, {_}: divide ?668 (divide (multiply (divide ?669 ?669) ?668) ?670) =>= ?670 [670, 669, 668] by Super 16 with 141 at 2,2,2
% 0.14/0.39 Id : 244, {_}: divide ?862 (divide ?862 ?863) =>= ?863 [863, 862] by Demod 171 with 141 at 1,2,2
% 0.14/0.39 Id : 332, {_}: divide ?1088 (multiply ?1088 ?1089) =>= inverse ?1089 [1089, 1088] by Super 244 with 3 at 2,2
% 0.14/0.39 Id : 335, {_}: divide (divide ?1101 ?1101) ?1102 =>= inverse ?1102 [1102, 1101] by Super 332 with 141 at 2,2
% 0.14/0.39 Id : 347, {_}: divide (divide (multiply (divide ?1133 ?1133) ?1134) ?1135) (inverse ?1135) =>= ?1134 [1135, 1134, 1133] by Super 8 with 335 at 2,2
% 0.14/0.39 Id : 373, {_}: multiply (divide (multiply (divide ?1133 ?1133) ?1134) ?1135) ?1135 =>= ?1134 [1135, 1134, 1133] by Demod 347 with 3 at 2
% 0.14/0.39 Id : 374, {_}: multiply (divide ?1134 ?1135) ?1135 =>= ?1134 [1135, 1134] by Demod 373 with 141 at 1,1,2
% 0.14/0.39 Id : 200, {_}: divide ?668 (divide ?668 ?670) =>= ?670 [670, 668] by Demod 171 with 141 at 1,2,2
% 0.14/0.39 Id : 352, {_}: divide (divide ?1150 ?1150) (inverse ?1151) =>= ?1151 [1151, 1150] by Super 200 with 335 at 2,2
% 0.14/0.39 Id : 368, {_}: inverse (inverse ?1151) =>= ?1151 [1151] by Demod 352 with 335 at 2
% 0.14/0.39 Id : 396, {_}: multiply ?1202 (inverse ?1203) =>= divide ?1202 ?1203 [1203, 1202] by Super 3 with 368 at 2,3
% 0.14/0.39 Id : 435, {_}: divide (divide ?1318 ?1319) ?1318 =>= inverse ?1319 [1319, 1318] by Super 112 with 396 at 1,2
% 0.14/0.39 Id : 543, {_}: multiply (inverse ?1577) ?1578 =>= divide ?1578 ?1577 [1578, 1577] by Super 374 with 435 at 1,2
% 0.14/0.39 Id : 622, {_}: a2 === a2 [] by Demod 621 with 141 at 2
% 0.14/0.39 Id : 621, {_}: multiply (divide b2 b2) a2 =>= a2 [] by Demod 1 with 543 at 1,2
% 0.14/0.39 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 11142: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.04032 using nrkbo
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