TSTP Solution File: ROB010-1 by Matita---1.0
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% File : Matita---1.0
% Problem : ROB010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n022.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 : Mon Jul 18 20:54:26 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
% 0.11/0.11 % Problem : ROB010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n022.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 : Thu Jun 9 15:18:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 7669: Facts:
% 0.12/0.33 7669: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.33 7669: Id : 3, {_}:
% 0.12/0.33 add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
% 0.12/0.33 [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 0.12/0.33 7669: Id : 4, {_}:
% 0.12/0.33 negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
% 0.12/0.33 =>=
% 0.12/0.33 ?9
% 0.12/0.33 [10, 9] by robbins_axiom ?9 ?10
% 0.12/0.33 7669: Id : 5, {_}: negate (add a (negate b)) =>= c [] by condition
% 0.12/0.33 7669: Goal:
% 0.12/0.33 7669: Id : 1, {_}: negate (add c (negate (add b a))) =>= a [] by prove_result
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 15
% 0.12/0.34 Found proof, 0.006043s
% 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 : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.34 Id : 5, {_}: negate (add a (negate b)) =>= c [] by condition
% 0.12/0.34 Id : 4, {_}: negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10)))) =>= ?9 [10, 9] by robbins_axiom ?9 ?10
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 15
% 0.12/0.34 Found proof, 0.005477s
% 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 : 49, {_}: negate (add (negate (add a b)) c) =>= a [] by Super 4 with 5 at 2,1,2
% 0.12/0.34 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.34 Id : 5, {_}: negate (add a (negate b)) =>= c [] by condition
% 0.12/0.34 Id : 54, {_}: negate (add c (negate (add a b))) =>= a [] by Demod 49 with 2 at 1,2
% 0.12/0.34 Id : 55, {_}: negate (add c (negate (add b a))) =>= a [] by Demod 54 with 2 at 1,2,1,2
% 0.12/0.34 Id : 63, {_}: a === a [] by Demod 1 with 55 at 2
% 0.12/0.34 Id : 1, {_}: negate (add c (negate (add b a))) =>= a [] by prove_result
% 0.12/0.34 Id : 4, {_}: negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10)))) =>= ?9 [10, 9] by robbins_axiom ?9 ?10
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 7672: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.006769 using nrkbo
% 0.12/0.34 Id : 49, {_}: negate (add (negate (add a b)) c) =>= a [] by Super 4 with 5 at 2,1,2
% 0.12/0.34 Id : 54, {_}: negate (add c (negate (add a b))) =>= a [] by Demod 49 with 2 at 1,2
% 0.12/0.34 Id : 55, {_}: negate (add c (negate (add b a))) =>= a [] by Demod 54 with 2 at 1,2,1,2
% 0.12/0.34 Id : 63, {_}: a === a [] by Demod 1 with 55 at 2
% 0.12/0.34 Id : 1, {_}: negate (add c (negate (add b a))) =>= a [] by prove_result
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
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