TSTP Solution File: GRP518-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n026.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 10:30:36 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 12:59:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 4549: Facts:
% 0.12/0.34 4549: Id : 2, {_}:
% 0.12/0.34 multiply ?2 (multiply (multiply (inverse (multiply ?2 ?3)) ?4) ?3)
% 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 4549: Goal:
% 0.12/0.34 4549: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34 [] by prove_these_axioms_2
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 23
% 0.12/0.34 Found proof, 0.006534s
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34 Id : 3, {_}: multiply ?6 (multiply (multiply (inverse (multiply ?6 ?7)) ?8) ?7) =>= ?8 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 0.12/0.34 Id : 2, {_}: multiply ?2 (multiply (multiply (inverse (multiply ?2 ?3)) ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 Id : 5, {_}: multiply ?15 (multiply ?16 ?17) =<= multiply (multiply (inverse (multiply (inverse (multiply ?15 ?17)) ?18)) ?16) ?18 [18, 17, 16, 15] by Super 3 with 2 at 1,2,2
% 0.12/0.34 Id : 8, {_}: multiply (inverse (multiply ?28 ?29)) (multiply ?28 (multiply ?30 ?29)) =>= ?30 [30, 29, 28] by Super 2 with 5 at 2,2
% 0.12/0.34 Id : 9, {_}: multiply ?32 (multiply ?33 ?34) =<= multiply (multiply (inverse (multiply (inverse (multiply ?32 ?34)) ?35)) ?33) ?35 [35, 34, 33, 32] by Super 3 with 2 at 1,2,2
% 0.12/0.34 Id : 12, {_}: multiply ?50 (multiply ?51 ?52) =<= multiply (multiply (inverse ?53) ?51) (multiply (multiply (inverse (multiply (inverse (multiply ?50 ?52)) ?54)) ?53) ?54) [54, 53, 52, 51, 50] by Super 9 with 2 at 1,1,1,3
% 0.12/0.34 Id : 42, {_}: multiply ?178 (multiply ?179 ?180) =<= multiply (multiply (inverse ?181) ?179) (multiply ?178 (multiply ?181 ?180)) [181, 180, 179, 178] by Demod 12 with 5 at 2,3
% 0.12/0.34 Id : 48, {_}: multiply (inverse (multiply ?214 ?215)) (multiply ?216 (multiply ?217 ?215)) =>= multiply (multiply (inverse ?214) ?216) ?217 [217, 216, 215, 214] by Super 42 with 8 at 2,3
% 0.12/0.34 Id : 59, {_}: multiply (multiply (inverse ?28) ?28) ?30 =>= ?30 [30, 28] by Demod 8 with 48 at 2
% 0.12/0.34 Id : 89, {_}: a2 === a2 [] by Demod 1 with 59 at 2
% 0.12/0.34 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 4552: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.007689 using nrkbo
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