TSTP Solution File: SET955+1 by SATCoP---0.1

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET955+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n028.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 : Tue Jul 19 05:05:13 EDT 2022

% Result   : Theorem 13.44s 2.10s
% Output   : Proof 13.44s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t108_zfmisc_1)]) ).

cnf(g1,plain,
    ( sPE(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))
    | in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK7,sK8))
    | in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK9,sK10)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski)]) ).

cnf(g2,plain,
    ( ~ in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK7,sK8))
    | ~ in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK9,sK10))
    | sPE(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski)]) ).

cnf(g3,plain,
    sPE(cartesian_product2(sK9,sK10),cartesian_product2(sK9,sK10)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    sPE(cartesian_product2(sK7,sK8),cartesian_product2(sK7,sK8)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(cartesian_product2(sK7,sK8),cartesian_product2(sK7,sK8))
    | ~ in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK7,sK8))
    | sPE(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1)]) ).

cnf(g6,plain,
    ( ~ sPE(cartesian_product2(sK9,sK10),cartesian_product2(sK9,sK10))
    | ~ in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK9,sK10))
    | sPE(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1)]) ).

cnf(g7,plain,
    ( ~ sPE(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))))
    | sPE(ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ in(ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),cartesian_product2(sK7,sK8))
    | in(ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),cartesian_product2(sK9,sK10)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t108_zfmisc_1)]) ).

cnf(g9,plain,
    ( ~ sPE(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))))
    | ~ sPE(cartesian_product2(sK7,sK8),cartesian_product2(sK7,sK8))
    | ~ in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK7,sK8))
    | in(ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),cartesian_product2(sK7,sK8)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ in(ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),cartesian_product2(sK9,sK10))
    | in(ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),cartesian_product2(sK7,sK8)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t108_zfmisc_1)]) ).

cnf(g11,plain,
    ( ~ sPE(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))))
    | ~ sPE(cartesian_product2(sK9,sK10),cartesian_product2(sK9,sK10))
    | ~ in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK9,sK10))
    | in(ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),cartesian_product2(sK9,sK10)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))))
    | sPE(ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))
    | ~ sPE(cartesian_product2(sK9,sK10),cartesian_product2(sK9,sK10))
    | ~ in(ordered_pair(sK0(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK7,sK8,cartesian_product2(sK7,sK8),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),cartesian_product2(sK9,sK10))
    | in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK9,sK10)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))
    | ~ sPE(cartesian_product2(sK7,sK8),cartesian_product2(sK7,sK8))
    | ~ in(ordered_pair(sK0(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10))),sK1(sK9,sK10,cartesian_product2(sK9,sK10),sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)))),cartesian_product2(sK7,sK8))
    | in(sK11(cartesian_product2(sK7,sK8),cartesian_product2(sK9,sK10)),cartesian_product2(sK7,sK8)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET955+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jul 10 21:48:12 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 13.44/2.10  % symbols: 21
% 13.44/2.10  % clauses: 37
% 13.44/2.10  % start clauses: 3
% 13.44/2.10  % iterative deepening steps: 2108
% 13.44/2.10  % maximum path limit: 4
% 13.44/2.10  % literal attempts: 2535584
% 13.44/2.10  % depth failures: 1913513
% 13.44/2.10  % regularity failures: 97886
% 13.44/2.10  % tautology failures: 157252
% 13.44/2.10  % reductions: 37181
% 13.44/2.10  % extensions: 2496548
% 13.44/2.10  % SAT variables: 295332
% 13.44/2.10  % SAT clauses: 311399
% 13.44/2.10  % WalkSAT solutions: 311399
% 13.44/2.10  % CDCL solutions: 0
% 13.44/2.10  % SZS status Theorem for theBenchmark
% 13.44/2.10  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------