TSTP Solution File: SET980+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET980+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n003.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 05:05:22 EDT 2022

% Result   : Theorem 29.34s 4.25s
% Output   : Proof 29.34s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    sPE(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_zfmisc_1)]) ).

cnf(g1,plain,
    ~ sPE(sK3,empty_set),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_zfmisc_1)]) ).

cnf(g2,plain,
    ~ sPE(sK4,empty_set),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_zfmisc_1)]) ).

cnf(g3,plain,
    ( ~ sPE(sK3,sK5)
    | ~ sPE(sK4,sK6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_zfmisc_1)]) ).

cnf(g4,plain,
    ( ~ sPE(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))
    | sPE(cartesian_product2(sK5,sK6),cartesian_product2(sK3,sK4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( sPE(sK3,empty_set)
    | in(sK0(sK3),sK3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0)]) ).

cnf(g6,plain,
    ( sPE(sK4,empty_set)
    | in(sK0(sK4),sK4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0)]) ).

cnf(g7,plain,
    ( ~ sPE(cartesian_product2(sK3,sK4),empty_set)
    | sPE(sK3,empty_set)
    | sPE(sK4,empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_zfmisc_1)]) ).

cnf(g8,plain,
    ( ~ in(sK7(sK3,sK5),sK3)
    | ~ in(sK7(sK3,sK5),sK5)
    | sPE(sK3,sK5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski)]) ).

cnf(g9,plain,
    ( sPE(sK3,sK5)
    | in(sK7(sK3,sK5),sK3)
    | in(sK7(sK3,sK5),sK5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski)]) ).

cnf(g10,plain,
    ( ~ in(sK7(sK4,sK6),sK4)
    | ~ in(sK7(sK4,sK6),sK6)
    | sPE(sK4,sK6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski)]) ).

cnf(g11,plain,
    ( sPE(sK4,sK6)
    | in(sK7(sK4,sK6),sK4)
    | in(sK7(sK4,sK6),sK6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski)]) ).

cnf(g12,plain,
    ( ~ sPE(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))
    | ~ sPE(cartesian_product2(sK5,sK6),empty_set)
    | sPE(cartesian_product2(sK3,sK4),empty_set) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(sK6,empty_set)
    | sPE(cartesian_product2(sK5,sK6),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_zfmisc_1)]) ).

cnf(g14,plain,
    ( ~ sPE(sK5,empty_set)
    | sPE(cartesian_product2(sK5,sK6),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_zfmisc_1)]) ).

cnf(g15,plain,
    ( sPE(sK6,empty_set)
    | in(sK0(sK6),sK6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0)]) ).

cnf(g16,plain,
    ( sPE(sK5,empty_set)
    | in(sK0(sK5),sK5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0)]) ).

cnf(g17,plain,
    ( ~ in(sK0(sK3),sK3)
    | ~ in(sK7(sK4,sK6),sK4)
    | in(ordered_pair(sK0(sK3),sK7(sK4,sK6)),cartesian_product2(sK3,sK4)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).

cnf(g18,plain,
    ( ~ in(sK7(sK3,sK5),sK5)
    | ~ in(sK0(sK6),sK6)
    | in(ordered_pair(sK7(sK3,sK5),sK0(sK6)),cartesian_product2(sK5,sK6)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).

cnf(g19,plain,
    ( ~ in(sK0(sK5),sK5)
    | ~ in(sK7(sK4,sK6),sK6)
    | in(ordered_pair(sK0(sK5),sK7(sK4,sK6)),cartesian_product2(sK5,sK6)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).

cnf(g20,plain,
    ( ~ in(sK7(sK3,sK5),sK3)
    | ~ in(sK0(sK4),sK4)
    | in(ordered_pair(sK7(sK3,sK5),sK0(sK4)),cartesian_product2(sK3,sK4)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).

cnf(g21,plain,
    sPE(ordered_pair(sK7(sK3,sK5),sK0(sK4)),ordered_pair(sK7(sK3,sK5),sK0(sK4))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ in(ordered_pair(sK0(sK5),sK7(sK4,sK6)),cartesian_product2(sK3,sK4))
    | in(sK7(sK4,sK6),sK4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).

cnf(g23,plain,
    ( ~ sPE(ordered_pair(sK0(sK5),sK7(sK4,sK6)),ordered_pair(sK0(sK5),sK7(sK4,sK6)))
    | ~ sPE(cartesian_product2(sK5,sK6),cartesian_product2(sK3,sK4))
    | ~ in(ordered_pair(sK0(sK5),sK7(sK4,sK6)),cartesian_product2(sK5,sK6))
    | in(ordered_pair(sK0(sK5),sK7(sK4,sK6)),cartesian_product2(sK3,sK4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    sPE(ordered_pair(sK0(sK5),sK7(sK4,sK6)),ordered_pair(sK0(sK5),sK7(sK4,sK6))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ in(ordered_pair(sK7(sK3,sK5),sK0(sK6)),cartesian_product2(sK3,sK4))
    | in(sK7(sK3,sK5),sK3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).

cnf(g26,plain,
    ( ~ sPE(ordered_pair(sK7(sK3,sK5),sK0(sK6)),ordered_pair(sK7(sK3,sK5),sK0(sK6)))
    | ~ sPE(cartesian_product2(sK5,sK6),cartesian_product2(sK3,sK4))
    | ~ in(ordered_pair(sK7(sK3,sK5),sK0(sK6)),cartesian_product2(sK5,sK6))
    | in(ordered_pair(sK7(sK3,sK5),sK0(sK6)),cartesian_product2(sK3,sK4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    sPE(ordered_pair(sK7(sK3,sK5),sK0(sK6)),ordered_pair(sK7(sK3,sK5),sK0(sK6))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    ( ~ in(ordered_pair(sK7(sK3,sK5),sK0(sK4)),cartesian_product2(sK5,sK6))
    | in(sK7(sK3,sK5),sK5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).

cnf(g29,plain,
    ( ~ sPE(ordered_pair(sK7(sK3,sK5),sK0(sK4)),ordered_pair(sK7(sK3,sK5),sK0(sK4)))
    | ~ sPE(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))
    | ~ in(ordered_pair(sK7(sK3,sK5),sK0(sK4)),cartesian_product2(sK3,sK4))
    | in(ordered_pair(sK7(sK3,sK5),sK0(sK4)),cartesian_product2(sK5,sK6)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    ( ~ in(ordered_pair(sK0(sK3),sK7(sK4,sK6)),cartesian_product2(sK5,sK6))
    | in(sK7(sK4,sK6),sK6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).

cnf(g31,plain,
    ( ~ sPE(ordered_pair(sK0(sK3),sK7(sK4,sK6)),ordered_pair(sK0(sK3),sK7(sK4,sK6)))
    | ~ sPE(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))
    | ~ in(ordered_pair(sK0(sK3),sK7(sK4,sK6)),cartesian_product2(sK3,sK4))
    | in(ordered_pair(sK0(sK3),sK7(sK4,sK6)),cartesian_product2(sK5,sK6)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    sPE(ordered_pair(sK0(sK3),sK7(sK4,sK6)),ordered_pair(sK0(sK3),sK7(sK4,sK6))),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SET980+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.01/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 20:04:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 29.34/4.25  % symbols: 17
% 29.34/4.25  % clauses: 32
% 29.34/4.25  % start clauses: 4
% 29.34/4.25  % iterative deepening steps: 4156
% 29.34/4.25  % maximum path limit: 5
% 29.34/4.25  % literal attempts: 8608443
% 29.34/4.25  % depth failures: 5910445
% 29.34/4.25  % regularity failures: 649423
% 29.34/4.25  % tautology failures: 495640
% 29.34/4.25  % reductions: 669997
% 29.34/4.25  % extensions: 7934401
% 29.34/4.25  % SAT variables: 481668
% 29.34/4.25  % SAT clauses: 605101
% 29.34/4.25  % WalkSAT solutions: 605050
% 29.34/4.25  % CDCL solutions: 46
% 29.34/4.25  % SZS status Theorem for theBenchmark
% 29.34/4.25  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------