TSTP Solution File: SET103-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET103-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n004.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 04:59:01 EDT 2022

% Result   : Unsatisfiable 53.45s 7.15s
% Output   : Proof 53.45s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(unordered_pair(singleton(x),unordered_pair(x,null_class)),ordered_pair(x,y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_1)]) ).

cnf(g1,plain,
    ~ member(y,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2)]) ).

cnf(g2,plain,
    sPE(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',ordered_pair)]) ).

cnf(g3,plain,
    sPE(ordered_pair(x,y),ordered_pair(x,y)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    ( ~ member(unordered_pair(singleton(x),unordered_pair(x,null_class)),unordered_pair(ordered_pair(x,y),ordered_pair(x,y)))
    | sPE(unordered_pair(singleton(x),unordered_pair(x,null_class)),ordered_pair(x,y))
    | sPE(unordered_pair(singleton(x),unordered_pair(x,null_class)),ordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g5,plain,
    member(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pairs_in_universal)]) ).

cnf(g6,plain,
    sPE(x,x),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ member(regular(unordered_pair(y,y)),unordered_pair(y,y))
    | sPE(regular(unordered_pair(y,y)),y)
    | sPE(regular(unordered_pair(y,y)),y) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g8,plain,
    ( sPE(unordered_pair(y,y),null_class)
    | member(regular(unordered_pair(y,y)),unordered_pair(y,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity1)]) ).

cnf(g9,plain,
    subclass(unordered_pair(y,y),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g10,plain,
    ( ~ sPE(singleton(x),singleton(x))
    | ~ sPE(unordered_pair(x,singleton(y)),unordered_pair(x,null_class))
    | sPE(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),unordered_pair(singleton(x),unordered_pair(x,null_class))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(x,x)
    | ~ sPE(null_class,singleton(y))
    | sPE(unordered_pair(x,null_class),unordered_pair(x,singleton(y))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(singleton(x),singleton(x)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y))
    | ~ sPE(ordered_pair(x,y),ordered_pair(x,y))
    | sPE(unordered_pair(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y)),unordered_pair(ordered_pair(x,y),ordered_pair(x,y))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

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

cnf(g16,plain,
    ( ~ sPE(regular(unordered_pair(y,y)),y)
    | ~ sPE(unordered_pair(y,y),unordered_pair(y,y))
    | ~ member(regular(unordered_pair(y,y)),unordered_pair(y,y))
    | member(y,unordered_pair(y,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    sPE(unordered_pair(y,y),unordered_pair(y,y)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(unordered_pair(y,y),null_class)
    | sPE(null_class,unordered_pair(y,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ member(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),universal_class)
    | member(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),unordered_pair(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).

cnf(g20,plain,
    ( ~ sPE(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),unordered_pair(singleton(x),unordered_pair(x,null_class)))
    | ~ sPE(unordered_pair(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y)),unordered_pair(ordered_pair(x,y),ordered_pair(x,y)))
    | ~ member(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),unordered_pair(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y)))
    | member(unordered_pair(singleton(x),unordered_pair(x,null_class)),unordered_pair(ordered_pair(x,y),ordered_pair(x,y))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    sPE(unordered_pair(y,y),singleton(y)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).

cnf(g22,plain,
    ( ~ sPE(null_class,unordered_pair(y,y))
    | ~ sPE(unordered_pair(y,y),singleton(y))
    | sPE(null_class,singleton(y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET103-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 04:36:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 53.45/7.15  % symbols: 51
% 53.45/7.15  % clauses: 135
% 53.45/7.15  % start clauses: 2
% 53.45/7.15  % iterative deepening steps: 3159
% 53.45/7.15  % maximum path limit: 5
% 53.45/7.15  % literal attempts: 10022533
% 53.45/7.15  % depth failures: 8220536
% 53.45/7.15  % regularity failures: 528010
% 53.45/7.15  % tautology failures: 134674
% 53.45/7.15  % reductions: 276562
% 53.45/7.15  % extensions: 9744758
% 53.45/7.15  % SAT variables: 995398
% 53.45/7.15  % SAT clauses: 1180063
% 53.45/7.15  % WalkSAT solutions: 1179977
% 53.45/7.15  % CDCL solutions: 79
% 53.45/7.15  % SZS status Unsatisfiable for theBenchmark
% 53.45/7.15  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------