TSTP Solution File: LCL894+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL894+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n011.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 : Sun Jul 17 14:19:06 EDT 2022

% Result   : Theorem 4.78s 0.99s
% Output   : Proof 4.78s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( '>='(c,'+'(a,'==>'(a,b)))
    | '>='(c,a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13)]) ).

cnf(g1,plain,
    ( '>='(c,'+'(a,'==>'(a,b)))
    | '>='(c,b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13)]) ).

cnf(g2,plain,
    ( ~ '>='(c,'+'(a,'==>'(a,b)))
    | ~ '>='(c,a)
    | ~ '>='(c,b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13)]) ).

cnf(g3,plain,
    ( ~ '>='(c,'+'(a,'==>'(a,b)))
    | ~ '>='('+'(a,'==>'(a,b)),a)
    | '>='(c,a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g4,plain,
    ( ~ '>='(c,b)
    | '>='('==>'(a,c),'==>'(a,b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11)]) ).

cnf(g5,plain,
    ( ~ '>='('==>'(a,c),'==>'(a,b))
    | '>='('+'('==>'(a,c),a),'+'('==>'(a,b),a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09)]) ).

cnf(g6,plain,
    sPE('+'(b,'==>'(b,a)),'+'(a,'==>'(a,b))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12)]) ).

cnf(g7,plain,
    sPE('+'(c,'0'),c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03)]) ).

cnf(g8,plain,
    sPE(a,a),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ '>='(c,'+'(a,'==>'(a,b)))
    | ~ '>='('+'(a,'==>'(a,b)),b)
    | '>='(c,b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g10,plain,
    ( ~ '>='('==>'(a,b),'==>'(a,b))
    | '>='('+'(a,'==>'(a,b)),b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g11,plain,
    '>='(a,a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g12,plain,
    '>='('+'(c,'0'),'+'(c,'0')),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g13,plain,
    sPE('+'(a,'==>'(a,b)),'+'(a,'==>'(a,b))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    '>='('==>'(a,b),'==>'(a,b)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04)]) ).

cnf(g15,plain,
    ( ~ '>='(a,a)
    | '>='('==>'(b,a),'==>'(b,a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11)]) ).

cnf(g16,plain,
    '>='('==>'(c,a),'0'),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08)]) ).

cnf(g17,plain,
    sPE('+'(c,'0'),'+'(c,'0')),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    sPE('+'('==>'(a,b),a),'+'(a,'==>'(a,b))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02)]) ).

cnf(g19,plain,
    ( ~ '>='('==>'(b,a),'==>'(b,a))
    | '>='('+'(b,'==>'(b,a)),a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g20,plain,
    ( ~ sPE('+'(c,'0'),'+'(c,'0'))
    | ~ sPE('+'(c,'0'),c)
    | ~ '>='('+'(c,'0'),'+'(c,'0'))
    | '>='('+'(c,'0'),c) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ '>='('0','==>'(c,'+'(a,'==>'(a,b))))
    | '>='('+'(c,'0'),'+'(a,'==>'(a,b))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g22,plain,
    ( ~ '>='('+'(c,'0'),a)
    | '>='('0','==>'(c,a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g23,plain,
    ( ~ '>='('+'(c,'0'),c)
    | ~ '>='(c,a)
    | '>='('+'(c,'0'),a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)]) ).

cnf(g24,plain,
    ( ~ '>='('==>'(c,a),'0')
    | ~ '>='('0','==>'(c,a))
    | sPE('==>'(c,a),'0') ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06)]) ).

cnf(g25,plain,
    sPE('+'(a,'==>'(a,c)),'+'(c,'==>'(c,a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12)]) ).

cnf(g26,plain,
    ( ~ sPE('+'(a,'==>'(a,c)),'+'(c,'==>'(c,a)))
    | ~ sPE('+'(a,'==>'(a,b)),'+'(a,'==>'(a,b)))
    | ~ '>='('+'(a,'==>'(a,c)),'+'(a,'==>'(a,b)))
    | '>='('+'(c,'==>'(c,a)),'+'(a,'==>'(a,b))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ '>='('+'(c,'==>'(c,a)),'+'(a,'==>'(a,b)))
    | '>='('==>'(c,a),'==>'(c,'+'(a,'==>'(a,b)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).

cnf(g28,plain,
    ( ~ '>='(c,'+'(c,'0'))
    | ~ '>='('+'(c,'0'),'+'(a,'==>'(a,b)))
    | '>='(c,'+'(a,'==>'(a,b))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)]) ).

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

cnf(g30,plain,
    sPE('+'('==>'(a,c),a),'+'(a,'==>'(a,c))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02)]) ).

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

cnf(g32,plain,
    sPE('==>'(c,'+'(a,'==>'(a,b))),'==>'(c,'+'(a,'==>'(a,b)))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ sPE('==>'(c,a),'0')
    | ~ sPE('==>'(c,'+'(a,'==>'(a,b))),'==>'(c,'+'(a,'==>'(a,b))))
    | ~ '>='('==>'(c,a),'==>'(c,'+'(a,'==>'(a,b))))
    | '>='('0','==>'(c,'+'(a,'==>'(a,b)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    ( ~ sPE('+'('==>'(a,c),a),'+'(a,'==>'(a,c)))
    | ~ sPE('+'('==>'(a,b),a),'+'(a,'==>'(a,b)))
    | ~ '>='('+'('==>'(a,c),a),'+'('==>'(a,b),a))
    | '>='('+'(a,'==>'(a,c)),'+'(a,'==>'(a,b))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL894+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n011.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 : Mon Jul  4 08:51:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 4.78/0.99  % symbols: 9
% 4.78/0.99  % clauses: 22
% 4.78/0.99  % start clauses: 3
% 4.78/0.99  % iterative deepening steps: 1423
% 4.78/0.99  % maximum path limit: 4
% 4.78/0.99  % literal attempts: 1217899
% 4.78/0.99  % depth failures: 887510
% 4.78/0.99  % regularity failures: 28210
% 4.78/0.99  % tautology failures: 68691
% 4.78/0.99  % reductions: 22520
% 4.78/0.99  % extensions: 1193474
% 4.78/0.99  % SAT variables: 87601
% 4.78/0.99  % SAT clauses: 139870
% 4.78/0.99  % WalkSAT solutions: 139864
% 4.78/0.99  % CDCL solutions: 2
% 4.78/0.99  % SZS status Theorem for theBenchmark
% 4.78/0.99  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------