TSTP Solution File: GRP522-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n018.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 0.13s 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
% 0.07/0.12 % Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n018.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 : Tue Jun 14 07:57:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 23049: Facts:
% 0.13/0.34 23049: Id : 2, {_}:
% 0.13/0.34 divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 23049: 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 23049: 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 23049: Goal:
% 0.13/0.34 23049: 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 : 15
% 0.13/0.36 Found proof, 0.016071s
% 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 Statistics :
% 0.13/0.36 Max weight : 15
% 0.13/0.36 Id : 5, {_}: divide ?13 (divide ?14 (divide ?15 (divide ?13 ?14))) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.13/0.36 Found proof, 0.016960s
% 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 : 2, {_}: divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.36 Id : 5, {_}: divide ?13 (divide ?14 (divide ?15 (divide ?13 ?14))) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 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 : 2, {_}: divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.36 Id : 20, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.13/0.36 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.13/0.36 Id : 40, {_}: multiply (divide ?108 ?108) ?109 =>= inverse (inverse ?109) [109, 108] by Super 20 with 4 at 3
% 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 : 20, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.13/0.36 Id : 42, {_}: multiply (multiply (inverse ?114) ?114) ?115 =>= inverse (inverse ?115) [115, 114] by Super 40 with 20 at 1,2
% 0.13/0.36 Statistics :
% 0.13/0.36 Id : 22, {_}: divide (divide ?74 ?74) (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75, 74] by Super 2 with 4 at 2,2,2,2
% 0.13/0.36 Max weight : 15
% 0.13/0.36 Found proof, 0.017307s
% 0.13/0.36 Id : 32, {_}: inverse (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75] by Demod 22 with 4 at 2
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.36 Id : 40, {_}: multiply (divide ?108 ?108) ?109 =>= inverse (inverse ?109) [109, 108] by Super 20 with 4 at 3
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.36 Id : 33, {_}: inverse (divide ?75 (multiply ?76 ?75)) =>= ?76 [76, 75] by Demod 32 with 20 at 2,1,2
% 0.13/0.36 Id : 42, {_}: multiply (multiply (inverse ?114) ?114) ?115 =>= inverse (inverse ?115) [115, 114] by Super 40 with 20 at 1,2
% 0.13/0.36 Id : 5, {_}: divide ?13 (divide ?14 (divide ?15 (divide ?13 ?14))) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.13/0.36 Id : 22, {_}: divide (divide ?74 ?74) (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75, 74] by Super 2 with 4 at 2,2,2,2
% 0.13/0.36 Id : 2, {_}: divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.36 Id : 167, {_}: divide ?452 (divide (divide ?453 (divide ?454 ?452)) ?453) =>= ?454 [454, 453, 452] by Super 5 with 2 at 2,2,2
% 0.13/0.36 Id : 32, {_}: inverse (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75] by Demod 22 with 4 at 2
% 0.13/0.36 Id : 181, {_}: divide ?513 (inverse (divide ?514 ?513)) =>= ?514 [514, 513] by Super 167 with 4 at 2,2
% 0.13/0.36 Id : 192, {_}: multiply ?513 (divide ?514 ?513) =>= ?514 [514, 513] by Demod 181 with 20 at 2
% 0.13/0.36 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.13/0.36 Id : 304, {_}: inverse (divide (divide ?750 ?751) ?750) =>= ?751 [751, 750] by Super 33 with 192 at 2,1,2
% 0.13/0.36 Id : 33, {_}: inverse (divide ?75 (multiply ?76 ?75)) =>= ?76 [76, 75] by Demod 32 with 20 at 2,1,2
% 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 : 313, {_}: inverse (inverse ?782) =>= ?782 [782] by Super 304 with 4 at 1,2
% 0.13/0.36 Id : 20, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.13/0.36 Id : 320, {_}: multiply (multiply (inverse ?114) ?114) ?115 =>= ?115 [115, 114] by Demod 42 with 313 at 3
% 0.13/0.36 Id : 167, {_}: divide ?452 (divide (divide ?453 (divide ?454 ?452)) ?453) =>= ?454 [454, 453, 452] by Super 5 with 2 at 2,2,2
% 0.13/0.36 Id : 40, {_}: multiply (divide ?108 ?108) ?109 =>= inverse (inverse ?109) [109, 108] by Super 20 with 4 at 3
% 0.13/0.36 Id : 181, {_}: divide ?513 (inverse (divide ?514 ?513)) =>= ?514 [514, 513] by Super 167 with 4 at 2,2
% 0.13/0.36 Id : 330, {_}: a2 === a2 [] by Demod 1 with 320 at 2
% 0.13/0.36 Id : 192, {_}: multiply ?513 (divide ?514 ?513) =>= ?514 [514, 513] by Demod 181 with 20 at 2
% 0.13/0.36 Id : 42, {_}: multiply (multiply (inverse ?114) ?114) ?115 =>= inverse (inverse ?115) [115, 114] by Super 40 with 20 at 1,2
% 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 Id : 304, {_}: inverse (divide (divide ?750 ?751) ?750) =>= ?751 [751, 750] by Super 33 with 192 at 2,1,2
% 0.13/0.36 23049: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.018235 using nrkbo
% 0.13/0.36 Id : 313, {_}: inverse (inverse ?782) =>= ?782 [782] by Super 304 with 4 at 1,2
% 0.13/0.36 Id : 22, {_}: divide (divide ?74 ?74) (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75, 74] by Super 2 with 4 at 2,2,2,2
% 0.13/0.36 Id : 320, {_}: multiply (multiply (inverse ?114) ?114) ?115 =>= ?115 [115, 114] by Demod 42 with 313 at 3
% 0.13/0.36 Id : 32, {_}: inverse (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75] by Demod 22 with 4 at 2
% 0.13/0.36 Id : 330, {_}: a2 =?= a2 [] by Demod 1 with 320 at 2
% 0.13/0.36 Id : 33, {_}: inverse (divide ?75 (multiply ?76 ?75)) =>= ?76 [76, 75] by Demod 32 with 20 at 2,1,2
% 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 23050: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.018341 using kbo
% 0.13/0.36 Id : 167, {_}: divide ?452 (divide (divide ?453 (divide ?454 ?452)) ?453) =>= ?454 [454, 453, 452] by Super 5 with 2 at 2,2,2
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