%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n026.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 20:54:24 EDT 2022

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34  % Computer : n026.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 : Thu Jun  9 16:17:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  7391: Facts:
% 0.13/0.35  7391:  Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.13/0.35  7391:  Id :   3, {_}:
% 0.13/0.35            add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
% 0.13/0.35            [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 0.13/0.35  7391:  Id :   4, {_}:
% 0.13/0.35            negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
% 0.13/0.35            =>=
% 0.13/0.35            ?9
% 0.13/0.35            [10, 9] by robbins_axiom ?9 ?10
% 0.13/0.35  7391:  Id :   5, {_}: negate (negate ?12) =>= ?12 [12] by double_negation ?12
% 0.13/0.35  7391: Goal:
% 0.13/0.35  7391:  Id :   1, {_}:
% 0.13/0.35            add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
% 0.13/0.35            =>=
% 0.13/0.35            b
% 0.13/0.35            [] by prove_huntingtons_axiom
% 0.13/0.39  Statistics :
% 0.13/0.39  Max weight : 15
% 0.13/0.39  Found proof, 0.048054s
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.39  Id :   5, {_}: negate (negate ?12) =>= ?12 [12] by double_negation ?12
% 0.13/0.39  Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.13/0.39  Id :   4, {_}: negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10)))) =>= ?9 [10, 9] by robbins_axiom ?9 ?10
% 0.13/0.39  Id :  41, {_}: negate (negate ?104) =>= ?104 [104] by double_negation ?104
% 0.13/0.39  Id :  51, {_}: negate ?120 =<= add (negate (add ?120 ?121)) (negate (add ?120 (negate ?121))) [121, 120] by Super 41 with 4 at 1,2
% 0.13/0.39  Id : 137, {_}: negate ?321 =<= add (negate (add ?321 ?322)) (negate (add (negate ?322) ?321)) [322, 321] by Super 51 with 2 at 1,2,3
% 0.13/0.39  Id : 145, {_}: negate ?347 =<= add (negate (add ?348 ?347)) (negate (add (negate ?348) ?347)) [348, 347] by Super 137 with 2 at 1,1,3
% 0.13/0.39  Id : 476, {_}: b =?= b [] by Demod 475 with 5 at 2
% 0.13/0.39  Id : 475, {_}: negate (negate b) =>= b [] by Demod 1 with 145 at 2
% 0.13/0.39  Id :   1, {_}: add (negate (add a (negate b))) (negate (add (negate a) (negate b))) =>= b [] by prove_huntingtons_axiom
% 0.13/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39  7392: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.049 using kbo
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