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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEU058+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n032.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 14:11:28 EDT 2022

% Result   : Theorem 7.28s 1.31s
% Output   : Proof 7.28s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    relation(sK15),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_funct_1)]) ).

cnf(g1,plain,
    function(sK15),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_funct_1)]) ).

cnf(g2,plain,
    ~ sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_funct_1)]) ).

cnf(g3,plain,
    ( ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,set_intersection2(sK13,sK14)))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))
    | sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski)]) ).

cnf(g4,plain,
    ( sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,set_intersection2(sK13,sK14)))
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski)]) ).

cnf(g5,plain,
    sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),relation_inverse_image(sK15,set_intersection2(sK13,sK14))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),relation_inverse_image(sK15,set_intersection2(sK13,sK14)))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,set_intersection2(sK13,sK14)))
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),set_intersection2(sK13,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

cnf(g7,plain,
    sPE(set_intersection2(sK13,sK14),set_intersection2(sK13,sK14)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    sPE(relation_inverse_image(sK15,sK14),relation_inverse_image(sK15,sK14)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),relation_inverse_image(sK15,set_intersection2(sK13,sK14)))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_dom(sK15))
    | ~ in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),set_intersection2(sK13,sK14))
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,set_intersection2(sK13,sK14))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

cnf(g10,plain,
    sPE(set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)),set_intersection2(relation_inverse_image(sK15,sK14),relation_inverse_image(sK15,sK13))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).

cnf(g11,plain,
    sPE(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK13)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK13)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g14,plain,
    ( ~ sPE(set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)),set_intersection2(relation_inverse_image(sK15,sK14),relation_inverse_image(sK15,sK13)))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g15,plain,
    ( ~ sPE(set_intersection2(sK15,sK15),sK15)
    | sPE(sK15,set_intersection2(sK15,sK15)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    sPE(set_intersection2(sK15,sK15),sK15),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0)]) ).

cnf(g17,plain,
    sPE(set_intersection2(sK13,sK14),set_intersection2(sK14,sK13)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).

cnf(g18,plain,
    ( ~ sPE(sK15,set_intersection2(sK15,sK15))
    | ~ sPE(set_intersection2(sK15,sK15),sK15)
    | sPE(sK15,sK15) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),relation_inverse_image(sK15,set_intersection2(sK14,sK13)))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,set_intersection2(sK13,sK14)))
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_dom(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

cnf(g20,plain,
    ( ~ sPE(sK15,sK15)
    | ~ sPE(set_intersection2(sK13,sK14),set_intersection2(sK14,sK13))
    | sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),relation_inverse_image(sK15,set_intersection2(sK14,sK13))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK13))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK13))
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),sK13) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

cnf(g22,plain,
    ( ~ sPE(relation_inverse_image(sK15,sK14),relation_inverse_image(sK15,sK14))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK14))
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_dom(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

cnf(g23,plain,
    ( ~ sPE(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),relation_inverse_image(sK15,set_intersection2(sK14,sK13)))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,set_intersection2(sK13,sK14)))
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),set_intersection2(sK14,sK13)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

cnf(g24,plain,
    ( ~ sPE(set_intersection2(sK13,sK14),set_intersection2(sK14,sK13))
    | ~ in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),set_intersection2(sK13,sK14))
    | in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),sK13) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g25,plain,
    ( ~ sPE(set_intersection2(sK13,sK14),set_intersection2(sK13,sK14))
    | ~ in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),sK13)
    | ~ in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),sK14)
    | in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),set_intersection2(sK13,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g26,plain,
    ( ~ sPE(relation_inverse_image(sK15,sK14),relation_inverse_image(sK15,sK14))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK14))
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),sK14) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

cnf(g27,plain,
    ( ~ sPE(set_intersection2(sK14,sK13),set_intersection2(sK13,sK14))
    | ~ in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),set_intersection2(sK14,sK13))
    | in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),sK14) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g28,plain,
    sPE(set_intersection2(sK14,sK13),set_intersection2(sK13,sK14)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).

cnf(g29,plain,
    ( ~ sPE(set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK13))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK14))
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g30,plain,
    ( ~ sPE(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK13))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_dom(sK15))
    | ~ in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),sK13)
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK13)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

cnf(g31,plain,
    ( ~ sPE(relation_inverse_image(sK15,sK14),relation_inverse_image(sK15,sK14))
    | ~ in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_dom(sK15))
    | ~ in(apply(sK15,sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)))),sK14)
    | ~ function(sK15)
    | ~ relation(sK15)
    | in(sK16(relation_inverse_image(sK15,set_intersection2(sK13,sK14)),set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))),relation_inverse_image(sK15,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SEU058+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.02/0.10  % Command  : satcop --statistics %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Sun Jun 19 01:14:02 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 7.28/1.31  % symbols: 35
% 7.28/1.31  % clauses: 94
% 7.28/1.31  % start clauses: 3
% 7.28/1.31  % iterative deepening steps: 1266
% 7.28/1.31  % maximum path limit: 4
% 7.28/1.31  % literal attempts: 1136919
% 7.28/1.31  % depth failures: 901014
% 7.28/1.31  % regularity failures: 27001
% 7.28/1.31  % tautology failures: 22778
% 7.28/1.31  % reductions: 32816
% 7.28/1.31  % extensions: 1103505
% 7.28/1.31  % SAT variables: 183542
% 7.28/1.31  % SAT clauses: 282008
% 7.28/1.31  % WalkSAT solutions: 281985
% 7.28/1.31  % CDCL solutions: 19
% 7.28/1.31  % SZS status Theorem for theBenchmark
% 7.28/1.31  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------