TSTP Solution File: COL080-2 by SATCoP---0.1

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : COL080-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %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 : Fri Jul 15 00:41:23 EDT 2022

% Result   : Unsatisfiable 9.59s 1.53s
% Output   : Proof 9.59s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(k(b),apply(abstraction,apply(abstraction,k(b)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_TRC2b)]) ).

cnf(g1,plain,
    ( ~ sPE(apply(abstraction,apply(abstraction,k(b))),k(b))
    | sPE(k(b),apply(abstraction,apply(abstraction,k(b)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    ( ~ sPE(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))
    | sPE(apply(abstraction,apply(abstraction,k(b))),k(b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2)]) ).

cnf(g3,plain,
    ( ~ sPE(apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))
    | sPE(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2)]) ).

cnf(g4,plain,
    ( ~ sPE(apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))),b)
    | sPE(b,apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    sPE(apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))),b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition)]) ).

cnf(g6,plain,
    sPE(apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(apply(apply(abstraction,k(b)),k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction)]) ).

cnf(g7,plain,
    sPE(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(apply(apply(abstraction,k(b)),k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))))
    | ~ sPE(apply(apply(apply(abstraction,k(b)),k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),apply(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))))
    | sPE(apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    sPE(apply(apply(apply(abstraction,k(b)),k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),apply(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction)]) ).

cnf(g10,plain,
    sPE(apply(k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition)]) ).

cnf(g11,plain,
    ( ~ sPE(apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(b,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))
    | ~ sPE(apply(b,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))
    | sPE(apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(b,apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))
    | ~ sPE(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))
    | sPE(apply(b,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))))
    | ~ sPE(apply(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(b,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))
    | sPE(apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(b,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),b)
    | ~ sPE(apply(k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))
    | sPE(apply(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(b,n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    sPE(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL080-2 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue May 31 07:24:41 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 9.59/1.53  % symbols: 8
% 9.59/1.53  % clauses: 11
% 9.59/1.53  % start clauses: 1
% 9.59/1.53  % iterative deepening steps: 1029
% 9.59/1.53  % maximum path limit: 7
% 9.59/1.53  % literal attempts: 530582
% 9.59/1.53  % depth failures: 303060
% 9.59/1.53  % regularity failures: 64299
% 9.59/1.53  % tautology failures: 35344
% 9.59/1.53  % reductions: 0
% 9.59/1.53  % extensions: 529997
% 9.59/1.53  % SAT variables: 182635
% 9.59/1.53  % SAT clauses: 213247
% 9.59/1.53  % WalkSAT solutions: 213246
% 9.59/1.53  % CDCL solutions: 0
% 9.59/1.53  % SZS status Unsatisfiable for theBenchmark
% 9.59/1.53  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------