TSTP Solution File: GRP449-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP449-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n008.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 10:30:20 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP449-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 08:06:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 17037: Facts:
% 0.13/0.34 17037: Id : 2, {_}:
% 0.13/0.34 divide ?2
% 0.13/0.34 (divide (divide (divide (divide ?3 ?3) ?3) ?4)
% 0.13/0.34 (divide (divide (divide ?3 ?3) ?2) ?4))
% 0.13/0.34 =>=
% 0.13/0.34 ?3
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 17037: Id : 3, {_}:
% 0.13/0.34 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.13/0.34 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.13/0.34 17037: Id : 4, {_}:
% 0.13/0.34 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.13/0.34 [11, 10] by inverse ?10 ?11
% 0.13/0.34 17037: Goal:
% 0.13/0.34 17037: Id : 1, {_}:
% 0.13/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.13/0.34 [] by prove_these_axioms_2
% 0.13/0.36 Statistics :
% 0.13/0.36 Max weight : 44
% 0.13/0.36 Found proof, 0.018941s
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.36 Id : 5, {_}: divide ?13 (divide (divide (divide (divide ?14 ?14) ?14) ?15) (divide (divide (divide ?14 ?14) ?13) ?15)) =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.13/0.36 Id : 2, {_}: divide ?2 (divide (divide (divide (divide ?3 ?3) ?3) ?4) (divide (divide (divide ?3 ?3) ?2) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.36 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.13/0.36 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.13/0.36 Id : 34, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.13/0.36 Id : 48, {_}: multiply (divide ?123 ?123) ?124 =>= inverse (inverse ?124) [124, 123] by Super 34 with 4 at 3
% 0.13/0.36 Id : 50, {_}: multiply (multiply (inverse ?129) ?129) ?130 =>= inverse (inverse ?130) [130, 129] by Super 48 with 34 at 1,2
% 0.13/0.36 Id : 35, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (divide (divide ?3 ?3) ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,1,2,2
% 0.13/0.36 Id : 36, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 35 with 4 at 1,2,2,2
% 0.13/0.36 Id : 38, {_}: divide ?98 (inverse (divide (inverse ?98) (inverse ?99))) =>= ?99 [99, 98] by Super 36 with 4 at 2,2
% 0.13/0.36 Id : 46, {_}: multiply ?98 (divide (inverse ?98) (inverse ?99)) =>= ?99 [99, 98] by Demod 38 with 34 at 2
% 0.13/0.36 Id : 109, {_}: multiply ?287 (multiply (inverse ?287) ?288) =>= ?288 [288, 287] by Demod 46 with 34 at 2,2
% 0.13/0.36 Id : 47, {_}: multiply ?98 (multiply (inverse ?98) ?99) =>= ?99 [99, 98] by Demod 46 with 34 at 2,2
% 0.13/0.36 Id : 110, {_}: multiply ?290 ?291 =<= multiply (inverse (inverse ?290)) ?291 [291, 290] by Super 109 with 47 at 2,2
% 0.13/0.36 Id : 7, {_}: divide ?22 (divide (divide (divide (divide ?23 ?23) ?23) (divide (divide (divide (divide ?24 ?24) ?24) ?25) (divide (divide (divide ?24 ?24) (divide (divide ?23 ?23) ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Super 5 with 2 at 2,2,2
% 0.13/0.36 Id : 113, {_}: divide ?22 (divide (divide (inverse ?23) (divide (divide (divide (divide ?24 ?24) ?24) ?25) (divide (divide (divide ?24 ?24) (divide (divide ?23 ?23) ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Demod 7 with 4 at 1,1,2,2
% 0.13/0.36 Id : 114, {_}: divide ?22 (divide (divide (inverse ?23) (divide (divide (inverse ?24) ?25) (divide (divide (divide ?24 ?24) (divide (divide ?23 ?23) ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Demod 113 with 4 at 1,1,2,1,2,2
% 0.13/0.36 Id : 115, {_}: divide ?22 (divide (divide (inverse ?23) (divide (divide (inverse ?24) ?25) (divide (inverse (divide (divide ?23 ?23) ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Demod 114 with 4 at 1,2,2,1,2,2
% 0.13/0.36 Id : 126, {_}: divide ?352 (divide (divide (inverse ?353) (divide (divide (inverse ?354) ?355) (divide (inverse (inverse ?352)) ?355))) ?354) =>= ?353 [355, 354, 353, 352] by Demod 115 with 4 at 1,1,2,2,1,2,2
% 0.13/0.36 Id : 176, {_}: divide ?525 (divide ?526 ?526) =>= ?525 [526, 525] by Super 126 with 36 at 1,2,2
% 0.13/0.36 Id : 178, {_}: divide ?531 (inverse (divide ?532 ?532)) =>= ?531 [532, 531] by Super 176 with 4 at 2,2
% 0.13/0.36 Id : 206, {_}: multiply ?531 (divide ?532 ?532) =>= ?531 [532, 531] by Demod 178 with 34 at 2
% 0.13/0.36 Id : 209, {_}: multiply ?559 (divide ?560 ?560) =>= inverse (inverse ?559) [560, 559] by Super 110 with 206 at 3
% 0.13/0.36 Id : 225, {_}: ?559 =<= inverse (inverse ?559) [559] by Demod 209 with 206 at 2
% 0.13/0.36 Id : 441, {_}: multiply (multiply (inverse ?129) ?129) ?130 =>= ?130 [130, 129] by Demod 50 with 225 at 3
% 0.13/0.36 Id : 501, {_}: a2 === a2 [] by Demod 1 with 441 at 2
% 0.13/0.36 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.36 17039: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.020406 using lpo
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