TSTP Solution File: ROB009-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : ROB009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:54:26 EDT 2022

% Result   : Unsatisfiable 0.19s 0.38s
% 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  : ROB009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 14:54:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  19716: Facts:
% 0.12/0.34  19716:  Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.34  19716:  Id :   3, {_}:
% 0.12/0.34            add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
% 0.12/0.34            [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 0.12/0.34  19716:  Id :   4, {_}:
% 0.12/0.34            negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
% 0.12/0.34            =>=
% 0.12/0.34            ?9
% 0.12/0.34            [10, 9] by robbins_axiom ?9 ?10
% 0.12/0.34  19716:  Id :   5, {_}:
% 0.12/0.34            negate (add a (negate (add b c)))
% 0.12/0.34            =<=
% 0.12/0.34            negate (add b (negate (add a c)))
% 0.12/0.34            [] by condition
% 0.12/0.34  19716: Goal:
% 0.12/0.34  19716:  Id :   1, {_}: a =<= b [] by prove_result
% 0.19/0.38  Statistics :
% 0.19/0.38  Max weight : 16
% 0.19/0.38  Found proof, 0.042342s
% 0.19/0.38  % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.38  % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.38  Id :   4, {_}: negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10)))) =>= ?9 [10, 9] by robbins_axiom ?9 ?10
% 0.19/0.38  Id :   3, {_}: add (add ?5 ?6) ?7 =>= add ?5 (add ?6 ?7) [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 0.19/0.38  Id :   5, {_}: negate (add a (negate (add b c))) =<= negate (add b (negate (add a c))) [] by condition
% 0.19/0.38  Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.19/0.38  Id :  25, {_}: negate (add (negate (add ?65 ?66)) (negate (add ?65 (negate ?66)))) =>= ?65 [66, 65] by robbins_axiom ?65 ?66
% 0.19/0.38  Id : 262, {_}: negate (add (negate (add ?592 ?593)) (negate (add ?593 (negate ?592)))) =>= ?593 [593, 592] by Super 25 with 2 at 1,1,1,2
% 0.19/0.38  Id : 276, {_}: negate (add (negate (add (add a c) b)) (negate (add a (negate (add b c))))) =>= b [] by Super 262 with 5 at 2,1,2
% 0.19/0.38  Id : 320, {_}: negate (add (negate (add b (add a c))) (negate (add a (negate (add b c))))) =>= b [] by Demod 276 with 2 at 1,1,1,2
% 0.19/0.38  Id :  11, {_}: add ?28 (add ?29 ?30) =?= add ?29 (add ?30 ?28) [30, 29, 28] by Super 2 with 3 at 3
% 0.19/0.38  Id : 321, {_}: negate (add (negate (add a (add c b))) (negate (add a (negate (add b c))))) =>= b [] by Demod 320 with 11 at 1,1,1,2
% 0.19/0.38  Id : 322, {_}: negate (add (negate (add a (add b c))) (negate (add a (negate (add b c))))) =>= b [] by Demod 321 with 2 at 2,1,1,1,2
% 0.19/0.38  Id : 323, {_}: a =<= b [] by Demod 322 with 4 at 2
% 0.19/0.38  Id : 343, {_}: a =?= a [] by Demod 1 with 323 at 3
% 0.19/0.38  Id :   1, {_}: a =<= b [] by prove_result
% 0.19/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.38  19717: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.04371 using kbo
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