%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET122-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 04:59:17 EDT 2022

% Result   : Unsatisfiable 1.57s 0.57s
% Output   : Proof 1.57s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ member(y,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components2_1)]) ).

cnf(g1,plain,
    ~ sPE(second(ordered_pair(x,y)),ordered_pair(x,y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components2_2)]) ).

cnf(g2,plain,
    ( sPE(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),ordered_pair(x,y))
    | sPE(second(ordered_pair(x,y)),ordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_5)]) ).

cnf(g3,plain,
    ( sPE(second(ordered_pair(x,y)),ordered_pair(x,y))
    | member(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets2)]) ).

cnf(g4,plain,
    ( ~ sPE(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),ordered_pair(x,y))
    | ~ sPE(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class))
    | ~ member(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),cross_product(universal_class,universal_class))
    | member(ordered_pair(x,y),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    sPE(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ member(ordered_pair(x,y),cross_product(universal_class,universal_class))
    | member(y,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET122-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.08/0.15  % Command  : satcop --statistics %s
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jul  9 19:57:11 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 1.57/0.57  % symbols: 53
% 1.57/0.57  % clauses: 213
% 1.57/0.57  % start clauses: 2
% 1.57/0.57  % iterative deepening steps: 267
% 1.57/0.57  % maximum path limit: 3
% 1.57/0.57  % literal attempts: 433782
% 1.57/0.57  % depth failures: 342437
% 1.57/0.57  % regularity failures: 5070
% 1.57/0.57  % tautology failures: 4686
% 1.57/0.57  % reductions: 73956
% 1.57/0.57  % extensions: 359440
% 1.57/0.57  % SAT variables: 73154
% 1.57/0.57  % SAT clauses: 65952
% 1.57/0.57  % WalkSAT solutions: 65951
% 1.57/0.57  % CDCL solutions: 0
% 1.57/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.57/0.57  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------