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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL902+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n006.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 0.12s 0.48s
% Output   : Proof 0.12s
% 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,
    ( ~ '>='('+'('==>'(sK0,'1'),sK0),'1')
    | '>='(sK0,'==>'('==>'(sK0,'1'),'1')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g3,plain,
    sPE('+'(sK0,'0'),sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03)]) ).

cnf(g4,plain,
    sPE('1','1'),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'==>'('==>'(sK0,'1'),'1')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03)]) ).

cnf(g6,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(g7,plain,
    ( ~ sPE(sK0,'+'('==>'('==>'(sK0,'1'),'1'),'0'))
    | ~ sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'==>'('==>'(sK0,'1'),'1'))
    | sPE(sK0,'==>'('==>'(sK0,'1'),'1')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ '>='('==>'('==>'(sK0,'1'),'1'),sK0)
    | '>='('+'('==>'('==>'(sK0,'1'),'1'),'0'),'+'(sK0,'0')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09)]) ).

cnf(g9,plain,
    ( ~ sPE('+'('==>'('==>'(sK0,'1'),'1'),'0'),'+'(sK0,'0'))
    | sPE('+'(sK0,'0'),'+'('==>'('==>'(sK0,'1'),'1'),'0')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ sPE('+'(sK0,'0'),sK0)
    | sPE(sK0,'+'(sK0,'0')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    '>='('==>'(sK0,'1'),'==>'(sK0,'1')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g12,plain,
    ( ~ '>='('==>'('1',sK0),'==>'('1',sK0))
    | '>='('+'('1','==>'('1',sK0)),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g13,plain,
    '>='('==>'('1',sK0),'==>'('1',sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)]) ).

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

cnf(g15,plain,
    '>='('+'('==>'('1',sK0),'1'),'+'('==>'('1',sK0),'1')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g16,plain,
    '>='(sK0,sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g17,plain,
    ( ~ '>='(sK0,'==>'('==>'(sK0,'1'),'1'))
    | '>='('+'(sK0,'0'),'+'('==>'('==>'(sK0,'1'),'1'),'0')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09)]) ).

cnf(g18,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(g19,plain,
    sPE('+'(sK0,'==>'(sK0,'1')),'+'('==>'(sK0,'1'),sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)]) ).

cnf(g20,plain,
    ( ~ '>='('==>'(sK0,'1'),'==>'(sK0,'1'))
    | '>='('+'(sK0,'==>'(sK0,'1')),'1') ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g21,plain,
    ( ~ sPE(sK0,'+'(sK0,'0'))
    | ~ sPE('+'(sK0,'0'),'+'('==>'('==>'(sK0,'1'),'1'),'0'))
    | sPE(sK0,'+'('==>'('==>'(sK0,'1'),'1'),'0')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ '>='('1','+'('1','==>'('1',sK0)))
    | ~ '>='('+'('1','==>'('1',sK0)),sK0)
    | '>='('1',sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g23,plain,
    sPE('+'('==>'('==>'(sK0,'1'),sK0),'0'),'==>'('==>'(sK0,'1'),sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03)]) ).

cnf(g24,plain,
    ( ~ '>='('==>'('==>'(sK0,'1'),'1'),'+'('==>'('==>'(sK0,'1'),sK0),'0'))
    | ~ '>='('+'('==>'('==>'(sK0,'1'),sK0),'0'),sK0)
    | '>='('==>'('==>'(sK0,'1'),'1'),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g25,plain,
    ( ~ '>='('==>'('==>'(sK0,'1'),'1'),'==>'('==>'(sK0,'1'),sK0))
    | ~ '>='('==>'('==>'(sK0,'1'),sK0),'+'('==>'('==>'(sK0,'1'),sK0),'0'))
    | '>='('==>'('==>'(sK0,'1'),'1'),'+'('==>'('==>'(sK0,'1'),sK0),'0')) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g26,plain,
    ( ~ '>='('1',sK0)
    | '>='('==>'('==>'(sK0,'1'),'1'),'==>'('==>'(sK0,'1'),sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11)]) ).

cnf(g27,plain,
    ( ~ sPE('+'('==>'('==>'(sK0,'1'),sK0),'0'),'==>'('==>'(sK0,'1'),sK0))
    | ~ sPE('+'('==>'('==>'(sK0,'1'),sK0),'0'),'+'('==>'('==>'(sK0,'1'),sK0),'0'))
    | ~ '>='('+'('==>'('==>'(sK0,'1'),sK0),'0'),'+'('==>'('==>'(sK0,'1'),sK0),'0'))
    | '>='('==>'('==>'(sK0,'1'),sK0),'+'('==>'('==>'(sK0,'1'),sK0),'0')) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    '>='('+'('==>'('==>'(sK0,'1'),sK0),'0'),'+'('==>'('==>'(sK0,'1'),sK0),'0')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)]) ).

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

cnf(g30,plain,
    ( ~ '>='('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0))
    | '>='('+'('==>'('==>'(sK0,'1'),sK0),'0'),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g31,plain,
    ( ~ sPE('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'0')
    | ~ sPE('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'==>'('==>'('==>'(sK0,'1'),sK0),sK0))
    | ~ '>='('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'==>'('==>'('==>'(sK0,'1'),sK0),sK0))
    | '>='('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    sPE('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'0'),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13)]) ).

cnf(g33,plain,
    ( ~ '>='(sK0,sK0)
    | '>='('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'==>'('==>'('==>'(sK0,'1'),sK0),sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11)]) ).

cnf(g34,plain,
    sPE('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'==>'('==>'('==>'(sK0,'1'),sK0),sK0)),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g36,plain,
    sPE('+'('==>'('1',sK0),'1'),'1'),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL902+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03  % Command  : satcop --statistics %s
% 0.08/0.35  % Computer : n006.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep  6 01:05:31 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.48  % symbols: 8
% 0.12/0.48  % clauses: 21
% 0.12/0.48  % start clauses: 1
% 0.12/0.48  % iterative deepening steps: 754
% 0.12/0.48  % maximum path limit: 5
% 0.12/0.48  % literal attempts: 132634
% 0.12/0.48  % depth failures: 73308
% 0.12/0.48  % regularity failures: 7705
% 0.12/0.48  % tautology failures: 9351
% 0.12/0.48  % reductions: 0
% 0.12/0.48  % extensions: 131911
% 0.12/0.48  % SAT variables: 20118
% 0.12/0.48  % SAT clauses: 36402
% 0.12/0.48  % WalkSAT solutions: 36401
% 0.12/0.48  % CDCL solutions: 0
% 0.12/0.48  % SZS status Theorem for theBenchmark
% 0.12/0.48  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------