%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET070-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n008.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 04:58:29 EDT 2022

% Result   : Unsatisfiable 10.50s 1.69s
% Output   : Proof 10.50s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ member(x,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton2_1)]) ).

cnf(g1,plain,
    ~ sPE(unordered_pair(x,y),singleton(y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton2_2)]) ).

cnf(g2,plain,
    ( ~ sPE(singleton(y),unordered_pair(x,y))
    | sPE(unordered_pair(x,y),singleton(y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    sPE(universal_class,universal_class),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    sPE(unordered_pair(x,y),unordered_pair(y,x)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair)]) ).

cnf(g5,plain,
    ( ~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),unordered_pair(x,y))
    | ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),singleton(y))
    | sPE(singleton(y),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality4)]) ).

cnf(g6,plain,
    ( ~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),unordered_pair(x,y))
    | sPE(singleton(y),unordered_pair(x,y))
    | member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality2)]) ).

cnf(g7,plain,
    ( sPE(singleton(y),unordered_pair(x,y))
    | member(not_subclass_element(singleton(y),unordered_pair(x,y)),singleton(y))
    | member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality1)]) ).

cnf(g8,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),singleton(y))
    | sPE(singleton(y),unordered_pair(x,y))
    | member(not_subclass_element(singleton(y),unordered_pair(x,y)),singleton(y)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality3)]) ).

cnf(g9,plain,
    ( ~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),singleton(y))
    | ~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),singleton(y))
    | member(ordered_pair(not_subclass_element(singleton(y),unordered_pair(x,y)),not_subclass_element(singleton(y),unordered_pair(x,y))),cross_product(singleton(y),singleton(y))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).

cnf(g10,plain,
    sPE(unordered_pair(y,y),singleton(y)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).

cnf(g11,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(x,y))
    | ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(x,y))
    | member(ordered_pair(not_subclass_element(unordered_pair(x,y),singleton(y)),not_subclass_element(unordered_pair(x,y),singleton(y))),cross_product(unordered_pair(x,y),unordered_pair(x,y))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).

cnf(g12,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(x,y))
    | sPE(not_subclass_element(unordered_pair(x,y),singleton(y)),x)
    | sPE(not_subclass_element(unordered_pair(x,y),singleton(y)),y) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g13,plain,
    member(unordered_pair(y,y),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pairs_in_universal)]) ).

cnf(g14,plain,
    sPE(not_subclass_element(unordered_pair(x,y),singleton(y)),not_subclass_element(unordered_pair(x,y),singleton(y))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),universal_class)
    | member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(y,not_subclass_element(unordered_pair(x,y),singleton(y)))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair3)]) ).

cnf(g16,plain,
    ( ~ member(ordered_pair(unordered_pair(y,y),x),cross_product(universal_class,unordered_pair(y,x)))
    | member(x,universal_class) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_cartesian_product)]) ).

cnf(g17,plain,
    ( ~ member(unordered_pair(y,y),universal_class)
    | ~ member(x,unordered_pair(y,x))
    | member(ordered_pair(unordered_pair(y,y),x),cross_product(universal_class,unordered_pair(y,x))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).

cnf(g18,plain,
    sPE(unordered_pair(y,x),unordered_pair(x,y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair)]) ).

cnf(g19,plain,
    sPE(y,y),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ member(ordered_pair(not_subclass_element(singleton(y),unordered_pair(x,y)),not_subclass_element(singleton(y),unordered_pair(x,y))),cross_product(singleton(y),singleton(y)))
    | member(not_subclass_element(singleton(y),unordered_pair(x,y)),universal_class) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_cartesian_product)]) ).

cnf(g21,plain,
    ( ~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),unordered_pair(y,y))
    | sPE(not_subclass_element(singleton(y),unordered_pair(x,y)),y)
    | sPE(not_subclass_element(singleton(y),unordered_pair(x,y)),y) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g22,plain,
    ( ~ member(ordered_pair(not_subclass_element(unordered_pair(x,y),singleton(y)),not_subclass_element(unordered_pair(x,y),singleton(y))),cross_product(unordered_pair(x,y),unordered_pair(x,y)))
    | member(not_subclass_element(unordered_pair(x,y),singleton(y)),universal_class) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_cartesian_product)]) ).

cnf(g23,plain,
    ( ~ sPE(not_subclass_element(singleton(y),unordered_pair(x,y)),y)
    | sPE(y,not_subclass_element(singleton(y),unordered_pair(x,y))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ sPE(not_subclass_element(unordered_pair(x,y),singleton(y)),x)
    | ~ sPE(unordered_pair(x,y),unordered_pair(y,x))
    | ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(x,y))
    | member(x,unordered_pair(y,x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(y,not_subclass_element(singleton(y),unordered_pair(x,y)))
    | sPE(not_subclass_element(singleton(y),unordered_pair(x,y)),y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(y,not_subclass_element(singleton(y),unordered_pair(x,y)))
    | ~ sPE(unordered_pair(y,x),unordered_pair(x,y))
    | ~ member(y,unordered_pair(y,x))
    | member(not_subclass_element(singleton(y),unordered_pair(x,y)),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ member(y,universal_class)
    | member(y,unordered_pair(y,x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).

cnf(g28,plain,
    ( ~ sPE(unordered_pair(y,y),singleton(y))
    | subclass(unordered_pair(y,y),singleton(y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass1)]) ).

cnf(g29,plain,
    ( ~ sPE(unordered_pair(y,y),singleton(y))
    | subclass(singleton(y),unordered_pair(y,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).

cnf(g30,plain,
    ( ~ sPE(not_subclass_element(singleton(y),unordered_pair(x,y)),y)
    | ~ sPE(universal_class,universal_class)
    | ~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),universal_class)
    | member(y,universal_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    ( ~ subclass(unordered_pair(y,y),singleton(y))
    | ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(y,y))
    | member(not_subclass_element(unordered_pair(x,y),singleton(y)),singleton(y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g32,plain,
    ( ~ sPE(not_subclass_element(unordered_pair(x,y),singleton(y)),not_subclass_element(unordered_pair(x,y),singleton(y)))
    | ~ sPE(unordered_pair(y,not_subclass_element(unordered_pair(x,y),singleton(y))),unordered_pair(y,y))
    | ~ member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(y,not_subclass_element(unordered_pair(x,y),singleton(y))))
    | member(not_subclass_element(unordered_pair(x,y),singleton(y)),unordered_pair(y,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ sPE(y,y)
    | ~ sPE(not_subclass_element(unordered_pair(x,y),singleton(y)),y)
    | sPE(unordered_pair(y,not_subclass_element(unordered_pair(x,y),singleton(y))),unordered_pair(y,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    ( ~ subclass(singleton(y),unordered_pair(y,y))
    | ~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),singleton(y))
    | member(not_subclass_element(singleton(y),unordered_pair(x,y)),unordered_pair(y,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET070-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 23:59:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 10.50/1.69  % symbols: 51
% 10.50/1.69  % clauses: 152
% 10.50/1.69  % start clauses: 2
% 10.50/1.69  % iterative deepening steps: 1215
% 10.50/1.69  % maximum path limit: 4
% 10.50/1.69  % literal attempts: 2437812
% 10.50/1.69  % depth failures: 2077089
% 10.50/1.69  % regularity failures: 98577
% 10.50/1.69  % tautology failures: 45699
% 10.50/1.69  % reductions: 66412
% 10.50/1.69  % extensions: 2370401
% 10.50/1.69  % SAT variables: 249706
% 10.50/1.69  % SAT clauses: 286487
% 10.50/1.69  % WalkSAT solutions: 286437
% 10.50/1.69  % CDCL solutions: 44
% 10.50/1.69  % SZS status Unsatisfiable for theBenchmark
% 10.50/1.69  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------