TSTP Solution File: GRP519-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n016.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 10:30:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n016.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 06:10:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 11234: Facts:
% 0.13/0.34 11234: Id : 2, {_}:
% 0.13/0.34 multiply ?2 (multiply (multiply (inverse (multiply ?2 ?3)) ?4) ?3)
% 0.13/0.34 =>=
% 0.13/0.34 ?4
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 11234: Goal:
% 0.13/0.34 11234: Id : 1, {_}:
% 0.13/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.34 [] by prove_these_axioms_3
% 0.19/0.39 Statistics :
% 0.19/0.39 Max weight : 22
% 0.19/0.39 Found proof, 0.049141s
% 0.19/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.39 Id : 2, {_}: multiply ?2 (multiply (multiply (inverse (multiply ?2 ?3)) ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.39 Id : 3, {_}: multiply ?6 (multiply (multiply (inverse (multiply ?6 ?7)) ?8) ?7) =>= ?8 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 0.19/0.39 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
% 0.19/0.39 Id : 24, {_}: multiply ?99 (multiply (multiply (inverse ?100) ?101) (multiply (multiply (inverse (multiply ?99 ?102)) ?100) ?102)) =>= ?101 [102, 101, 100, 99] by Super 3 with 2 at 1,1,1,2,2
% 0.19/0.39 Id : 44, {_}: multiply (multiply (inverse ?174) ?175) ?174 =>= ?175 [175, 174] by Super 24 with 2 at 2,2
% 0.19/0.39 Id : 45, {_}: multiply ?177 ?178 =<= multiply (multiply (inverse (multiply (inverse ?178) ?179)) ?177) ?179 [179, 178, 177] by Super 44 with 2 at 1,2
% 0.19/0.39 Id : 48, {_}: multiply ?15 (multiply ?16 ?17) =?= multiply ?16 (multiply ?15 ?17) [17, 16, 15] by Demod 5 with 45 at 3
% 0.19/0.39 Id : 53, {_}: multiply (inverse ?208) (multiply ?209 ?208) =>= ?209 [209, 208] by Super 2 with 45 at 2,2
% 0.19/0.39 Id : 163, {_}: multiply ?638 (multiply (inverse ?639) ?639) =>= ?638 [639, 638] by Super 48 with 53 at 3
% 0.19/0.39 Id : 218, {_}: multiply ?852 ?853 =<= multiply (multiply (inverse (inverse ?853)) ?852) (multiply (inverse ?854) ?854) [854, 853, 852] by Super 45 with 163 at 1,1,1,3
% 0.19/0.39 Id : 233, {_}: multiply ?852 ?853 =<= multiply (inverse (inverse ?853)) ?852 [853, 852] by Demod 218 with 163 at 3
% 0.19/0.39 Id : 319, {_}: multiply (inverse (inverse ?1153)) (multiply ?1154 ?1155) =>= multiply ?1154 (multiply ?1155 ?1153) [1155, 1154, 1153] by Super 48 with 233 at 2,3
% 0.19/0.39 Id : 357, {_}: multiply (multiply ?1154 ?1155) ?1153 =>= multiply ?1154 (multiply ?1155 ?1153) [1153, 1155, 1154] by Demod 319 with 233 at 2
% 0.19/0.39 Id : 460, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 357 at 2
% 0.19/0.39 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.19/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.39 11235: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.050376 using kbo
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