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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL899+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:04:51 PM UTC 2026

% Result   : Theorem 2.63s 0.72s
% Output   : Proof 2.63s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE('==>'('==>'(sK0,'1'),'1'),sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14)]) ).

cnf(g1,plain,
    ( ~ sPE(sK0,'==>'('==>'(sK0,'1'),'1'))
    | sPE('==>'('==>'(sK0,'1'),'1'),sK0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    sPE('+'(sK0,'0'),sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03)]) ).

cnf(g3,plain,
    ( ~ '>='('+'('==>'(sK0,'1'),sK0),'1')
    | '>='(sK0,'==>'('==>'(sK0,'1'),'1')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g4,plain,
    sPE('==>'('==>'('1',sK0),sK0),'==>'('==>'(sK0,'1'),'1')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13)]) ).

cnf(g5,plain,
    sPE('+'('0',sK0),'+'(sK0,'0')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)]) ).

cnf(g6,plain,
    '>='('1','0'),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08)]) ).

cnf(g7,plain,
    sPE(sK0,sK0),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    '>='('1','1'),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g9,plain,
    '>='(sK0,sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g10,plain,
    sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'==>'('==>'(sK0,'1'),'1')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03)]) ).

cnf(g11,plain,
    ( ~ '>='('1',sK0)
    | '>='('+'('1','0'),'+'(sK0,'0')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09)]) ).

cnf(g12,plain,
    ( ~ '>='('+'('==>'('==>'(sK0,'1'),'1'),'0'),'+'(sK0,'0'))
    | ~ '>='('+'(sK0,'0'),'+'('==>'('==>'(sK0,'1'),'1'),'0'))
    | sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'+'(sK0,'0')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06)]) ).

cnf(g13,plain,
    ( ~ '>='('1','1')
    | ~ '>='('1','1')
    | sPE('1','1') ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06)]) ).

cnf(g14,plain,
    sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'+'('0','==>'('==>'(sK0,'1'),'1'))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)]) ).

cnf(g15,plain,
    ( ~ '>='(sK0,'==>'('==>'(sK0,'1'),'1'))
    | '>='('+'(sK0,'0'),'+'('==>'('==>'(sK0,'1'),'1'),'0')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09)]) ).

cnf(g16,plain,
    sPE('+'('==>'('==>'('1',sK0),sK0),'0'),'==>'('==>'('1',sK0),sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03)]) ).

cnf(g17,plain,
    ( ~ '>='('1','1')
    | '>='('==>'(sK0,'1'),'==>'(sK0,'1')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11)]) ).

cnf(g18,plain,
    ( ~ sPE('+'(sK0,'0'),sK0)
    | sPE(sK0,'+'(sK0,'0')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'+'(sK0,'0'))
    | sPE('+'(sK0,'0'),'+'('==>'('==>'(sK0,'1'),'1'),'0')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    sPE('+'('0','==>'('==>'(sK0,'1'),'1')),'+'('==>'('==>'(sK0,'1'),'1'),'0')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)]) ).

cnf(g21,plain,
    ( ~ '>='('1','0')
    | '>='('+'('1',sK0),'+'('0',sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09)]) ).

cnf(g22,plain,
    ( ~ sPE('+'(sK0,'==>'(sK0,'1')),'+'('==>'(sK0,'1'),sK0))
    | ~ sPE('1','1')
    | ~ '>='('+'(sK0,'==>'(sK0,'1')),'1')
    | '>='('+'('==>'(sK0,'1'),sK0),'1') ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    sPE('+'(sK0,'==>'(sK0,'1')),'+'('==>'(sK0,'1'),sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)]) ).

cnf(g24,plain,
    ( ~ sPE('+'('0','==>'('==>'(sK0,'1'),'1')),'+'('==>'('==>'(sK0,'1'),'1'),'0'))
    | ~ sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'==>'('==>'(sK0,'1'),'1'))
    | sPE('+'('0','==>'('==>'(sK0,'1'),'1')),'==>'('==>'(sK0,'1'),'1')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ '>='('==>'('==>'(sK0,'1'),'1'),sK0)
    | '>='('+'('==>'('==>'(sK0,'1'),'1'),'0'),'+'(sK0,'0')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09)]) ).

cnf(g26,plain,
    sPE('+'('0','==>'('==>'('1',sK0),sK0)),'+'('==>'('==>'('1',sK0),sK0),'0')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)]) ).

cnf(g27,plain,
    '>='('+'('==>'('==>'('1',sK0),sK0),'0'),'+'('==>'('==>'('1',sK0),sK0),'0')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g28,plain,
    ( ~ '>='('==>'(sK0,'1'),'==>'(sK0,'1'))
    | '>='('+'(sK0,'==>'(sK0,'1')),'1') ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g29,plain,
    ( ~ sPE(sK0,'+'('0','==>'('==>'(sK0,'1'),'1')))
    | ~ sPE('+'('0','==>'('==>'(sK0,'1'),'1')),'==>'('==>'(sK0,'1'),'1'))
    | sPE(sK0,'==>'('==>'(sK0,'1'),'1')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    ( ~ sPE('+'('0','==>'('==>'('1',sK0),sK0)),'+'('==>'('==>'('1',sK0),sK0),'0'))
    | sPE('+'('==>'('==>'('1',sK0),sK0),'0'),'+'('0','==>'('==>'('1',sK0),sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    ( ~ '>='('==>'('==>'('1',sK0),sK0),'==>'('0',sK0))
    | '>='('+'('0','==>'('==>'('1',sK0),sK0)),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g32,plain,
    ( ~ sPE(sK0,'+'('==>'('==>'(sK0,'1'),'1'),'0'))
    | ~ sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'+'('0','==>'('==>'(sK0,'1'),'1')))
    | sPE(sK0,'+'('0','==>'('==>'(sK0,'1'),'1'))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ '>='('1','+'(sK0,'0'))
    | ~ '>='('+'(sK0,'0'),sK0)
    | '>='('1',sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g34,plain,
    ( ~ '>='('+'('1','0'),'+'(sK0,'0'))
    | ~ '>='('+'(sK0,'0'),sK0)
    | '>='('+'('1','0'),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g35,plain,
    ( ~ sPE(sK0,'+'(sK0,'0'))
    | ~ sPE('+'(sK0,'0'),'+'('==>'('==>'(sK0,'1'),'1'),'0'))
    | sPE(sK0,'+'('==>'('==>'(sK0,'1'),'1'),'0')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g36,plain,
    sPE('+'('1',sK0),'+'(sK0,'1')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)]) ).

cnf(g37,plain,
    ( ~ sPE('+'('==>'('==>'('1',sK0),sK0),'0'),'==>'('==>'('1',sK0),sK0))
    | ~ sPE('+'('==>'('==>'('1',sK0),sK0),'0'),'+'('0','==>'('==>'('1',sK0),sK0)))
    | ~ '>='('+'('==>'('==>'('1',sK0),sK0),'0'),'+'('==>'('==>'('1',sK0),sK0),'0'))
    | '>='('==>'('==>'('1',sK0),sK0),'+'('0','==>'('==>'('1',sK0),sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g38,plain,
    sPE('+'('0','==>'('==>'('1',sK0),sK0)),'+'('0','==>'('==>'('1',sK0),sK0))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g39,plain,
    ( ~ '>='('0','==>'('1',sK0))
    | '>='('==>'('==>'('1',sK0),sK0),'==>'('0',sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10)]) ).

cnf(g40,plain,
    ( ~ '>='('+'('1','0'),sK0)
    | '>='('0','==>'('1',sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g41,plain,
    ( ~ sPE(sK0,'+'(sK0,'0'))
    | ~ sPE(sK0,sK0)
    | ~ '>='(sK0,sK0)
    | '>='('+'(sK0,'0'),sK0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g42,plain,
    ( ~ sPE('+'('1',sK0),'+'(sK0,'1'))
    | ~ sPE('+'('0',sK0),'+'(sK0,'0'))
    | ~ '>='('+'('1',sK0),'+'('0',sK0))
    | '>='('+'(sK0,'1'),'+'(sK0,'0')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g43,plain,
    ( ~ sPE('+'(sK0,'1'),'1')
    | sPE('1','+'(sK0,'1')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g44,plain,
    ( ~ '>='('==>'('==>'(sK0,'1'),'1'),'+'('0','==>'('==>'('1',sK0),sK0)))
    | ~ '>='('+'('0','==>'('==>'('1',sK0),sK0)),sK0)
    | '>='('==>'('==>'(sK0,'1'),'1'),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g45,plain,
    ( ~ sPE('==>'('==>'('1',sK0),sK0),'==>'('==>'(sK0,'1'),'1'))
    | ~ sPE('+'('0','==>'('==>'('1',sK0),sK0)),'+'('0','==>'('==>'('1',sK0),sK0)))
    | ~ '>='('==>'('==>'('1',sK0),sK0),'+'('0','==>'('==>'('1',sK0),sK0)))
    | '>='('==>'('==>'(sK0,'1'),'1'),'+'('0','==>'('==>'('1',sK0),sK0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g46,plain,
    ( ~ '>='('1','+'(sK0,'1'))
    | ~ '>='('+'(sK0,'1'),'+'(sK0,'0'))
    | '>='('1','+'(sK0,'0')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g47,plain,
    ( ~ sPE('1','1')
    | ~ sPE('1','+'(sK0,'1'))
    | ~ '>='('1','1')
    | '>='('1','+'(sK0,'1')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g48,plain,
    sPE('+'(sK0,'1'),'1'),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL899+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04  % Command  : satcop --statistics %s
% 0.10/0.36  % Computer : n002.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep  6 01:04:21 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 2.63/0.72  % symbols: 8
% 2.63/0.72  % clauses: 21
% 2.63/0.72  % start clauses: 1
% 2.63/0.72  % iterative deepening steps: 1432
% 2.63/0.72  % maximum path limit: 6
% 2.63/0.72  % literal attempts: 359837
% 2.63/0.72  % depth failures: 193403
% 2.63/0.72  % regularity failures: 19847
% 2.63/0.72  % tautology failures: 26742
% 2.63/0.72  % reductions: 0
% 2.63/0.72  % extensions: 358562
% 2.63/0.72  % SAT variables: 53031
% 2.63/0.72  % SAT clauses: 100174
% 2.63/0.72  % WalkSAT solutions: 100172
% 2.63/0.72  % CDCL solutions: 0
% 2.63/0.72  % SZS status Theorem for theBenchmark
% 2.63/0.72  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------