TSTP Solution File: GRP116-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% 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 10:28:46 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% 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
% 0.04/0.12 % Problem : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 18:48:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 2240: Facts:
% 0.13/0.34 2240: Id : 2, {_}:
% 0.13/0.34 multiply ?2
% 0.13/0.34 (multiply (multiply ?2 (multiply (multiply ?2 ?3) ?4))
% 0.13/0.34 (multiply identity (multiply ?4 ?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 2240: Goal:
% 0.13/0.34 2240: Id : 1, {_}: multiply identity a =>= a [] by prove_order3
% 0.13/0.37 Statistics :
% 0.13/0.37 Max weight : 27
% 0.13/0.37 Found proof, 0.028835s
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.37 Id : 3, {_}: multiply ?6 (multiply (multiply ?6 (multiply (multiply ?6 ?7) ?8)) (multiply identity (multiply ?8 ?8))) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 0.13/0.37 Id : 2, {_}: multiply ?2 (multiply (multiply ?2 (multiply (multiply ?2 ?3) ?4)) (multiply identity (multiply ?4 ?4))) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.37 Id : 15, {_}: multiply ?57 (multiply ?58 (multiply identity (multiply (multiply identity (multiply ?59 ?59)) (multiply identity (multiply ?59 ?59))))) =>= multiply (multiply ?57 ?58) ?59 [59, 58, 57] by Super 3 with 2 at 1,2,2
% 0.13/0.37 Id : 22, {_}: multiply ?87 (multiply ?88 ?89) =<= multiply (multiply ?87 ?88) (multiply identity ?89) [89, 88, 87] by Super 15 with 2 at 2,2,2
% 0.13/0.37 Id : 39, {_}: multiply ?2 (multiply ?2 (multiply (multiply (multiply ?2 ?3) ?4) (multiply ?4 ?4))) =>= ?3 [4, 3, 2] by Demod 2 with 22 at 2,2
% 0.13/0.37 Id : 7, {_}: multiply ?24 (multiply ?25 (multiply identity (multiply (multiply identity (multiply ?26 ?26)) (multiply identity (multiply ?26 ?26))))) =>= multiply (multiply ?24 ?25) ?26 [26, 25, 24] by Super 3 with 2 at 1,2,2
% 0.13/0.37 Id : 38, {_}: multiply ?24 (multiply ?25 (multiply identity (multiply identity (multiply (multiply ?26 ?26) (multiply ?26 ?26))))) =>= multiply (multiply ?24 ?25) ?26 [26, 25, 24] by Demod 7 with 22 at 2,2,2,2
% 0.13/0.37 Id : 41, {_}: multiply ?107 (multiply ?108 (multiply identity (multiply identity (multiply (multiply identity (multiply ?109 ?109)) (multiply (multiply identity ?109) (multiply identity ?109)))))) =>= multiply (multiply ?107 ?108) (multiply identity ?109) [109, 108, 107] by Super 38 with 22 at 1,2,2,2,2,2
% 0.13/0.37 Id : 63, {_}: multiply ?107 (multiply ?108 (multiply identity (multiply identity (multiply (multiply identity (multiply ?109 ?109)) (multiply identity (multiply ?109 ?109)))))) =>= multiply (multiply ?107 ?108) (multiply identity ?109) [109, 108, 107] by Demod 41 with 22 at 2,2,2,2,2,2
% 0.13/0.37 Id : 64, {_}: multiply ?107 (multiply ?108 (multiply identity (multiply identity (multiply (multiply identity (multiply ?109 ?109)) (multiply identity (multiply ?109 ?109)))))) =>= multiply ?107 (multiply ?108 ?109) [109, 108, 107] by Demod 63 with 22 at 3
% 0.13/0.37 Id : 65, {_}: multiply ?107 (multiply ?108 (multiply identity (multiply identity (multiply identity (multiply (multiply ?109 ?109) (multiply ?109 ?109)))))) =>= multiply ?107 (multiply ?108 ?109) [109, 108, 107] by Demod 64 with 22 at 2,2,2,2,2
% 0.13/0.37 Id : 85, {_}: multiply ?233 (multiply (multiply ?234 identity) ?235) =>= multiply ?233 (multiply ?234 ?235) [235, 234, 233] by Demod 65 with 38 at 2,2
% 0.13/0.37 Id : 90, {_}: multiply (multiply ?256 (multiply ?257 identity)) ?258 =<= multiply ?256 (multiply ?257 (multiply identity (multiply identity (multiply (multiply ?258 ?258) (multiply ?258 ?258))))) [258, 257, 256] by Super 85 with 38 at 2
% 0.13/0.37 Id : 109, {_}: multiply (multiply ?256 (multiply ?257 identity)) ?258 =>= multiply (multiply ?256 ?257) ?258 [258, 257, 256] by Demod 90 with 38 at 3
% 0.13/0.37 Id : 156, {_}: multiply ?346 (multiply ?346 (multiply (multiply (multiply ?346 ?347) ?348) (multiply ?348 ?348))) =>= multiply ?347 identity [348, 347, 346] by Super 39 with 109 at 1,2,2,2
% 0.13/0.37 Id : 194, {_}: ?347 =<= multiply ?347 identity [347] by Demod 156 with 39 at 2
% 0.13/0.37 Id : 222, {_}: multiply ?457 (multiply ?457 (multiply (multiply (multiply ?457 ?458) identity) identity)) =>= ?458 [458, 457] by Super 39 with 194 at 2,2,2,2
% 0.13/0.37 Id : 227, {_}: multiply ?457 (multiply ?457 (multiply (multiply ?457 ?458) identity)) =>= ?458 [458, 457] by Demod 222 with 194 at 2,2,2
% 0.13/0.37 Id : 228, {_}: multiply ?457 (multiply ?457 (multiply ?457 ?458)) =>= ?458 [458, 457] by Demod 227 with 194 at 2,2,2
% 0.13/0.37 Id : 251, {_}: multiply ?491 (multiply ?491 (multiply ?491 ?492)) =>= ?492 [492, 491] by Demod 227 with 194 at 2,2,2
% 0.13/0.37 Id : 256, {_}: multiply ?509 (multiply ?509 ?509) =>= identity [509] by Super 251 with 194 at 2,2,2
% 0.13/0.37 Id : 249, {_}: multiply ?483 (multiply ?484 (multiply identity (multiply identity ?485))) =>= multiply (multiply ?483 ?484) ?485 [485, 484, 483] by Super 22 with 228 at 2,3
% 0.13/0.37 Id : 298, {_}: multiply (multiply (multiply identity (multiply identity ?576)) (multiply identity (multiply identity ?576))) ?576 =>= identity [576] by Super 256 with 249 at 2
% 0.13/0.37 Id : 336, {_}: multiply (multiply identity (multiply (multiply identity ?576) (multiply identity ?576))) ?576 =>= identity [576] by Demod 298 with 22 at 1,2
% 0.13/0.37 Id : 337, {_}: multiply (multiply identity (multiply identity (multiply ?576 ?576))) ?576 =>= identity [576] by Demod 336 with 22 at 2,1,2
% 0.13/0.37 Id : 373, {_}: multiply identity (multiply identity (multiply identity (multiply ?689 ?689))) =>= multiply identity (multiply ?689 ?689) [689] by Super 39 with 337 at 1,2,2,2
% 0.13/0.37 Id : 405, {_}: multiply ?689 ?689 =<= multiply identity (multiply ?689 ?689) [689] by Demod 373 with 228 at 2
% 0.13/0.37 Id : 438, {_}: multiply identity (multiply (multiply ?745 ?745) ?746) =<= multiply (multiply ?745 ?745) (multiply identity ?746) [746, 745] by Super 22 with 405 at 1,3
% 0.13/0.37 Id : 464, {_}: multiply identity (multiply (multiply ?745 ?745) ?746) =>= multiply ?745 (multiply ?745 ?746) [746, 745] by Demod 438 with 22 at 3
% 0.13/0.37 Id : 493, {_}: multiply identity (multiply (multiply identity ?801) (multiply (multiply identity ?801) (multiply (multiply identity ?801) (multiply identity ?801)))) =>= ?801 [801] by Super 39 with 464 at 2,2
% 0.13/0.37 Id : 513, {_}: multiply identity (multiply identity ?801) =>= ?801 [801] by Demod 493 with 228 at 2,2
% 0.13/0.37 Id : 540, {_}: multiply identity ?876 =>= ?876 [876] by Super 228 with 513 at 2,2
% 0.13/0.37 Id : 653, {_}: a === a [] by Demod 1 with 540 at 2
% 0.13/0.37 Id : 1, {_}: multiply identity a =>= a [] by prove_order3
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 2244: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.031695 using nrkbo
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