TSTP Solution File: SET068-7 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET068-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n022.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 04:58:27 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ subclass(singleton(y),unordered_pair(x,y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair2_1)]) ).

cnf(g1,plain,
    ( ~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),unordered_pair(x,y))
    | subclass(singleton(y),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g2,plain,
    ( subclass(singleton(y),unordered_pair(x,y))
    | member(not_subclass_element(singleton(y),unordered_pair(x,y)),singleton(y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g3,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(g4,plain,
    sPE(unordered_pair(y,y),singleton(y)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).

cnf(g5,plain,
    subclass(unordered_pair(y,y),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g6,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(g7,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(g8,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(g9,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)]) ).

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

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

cnf(g12,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(g13,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(g14,plain,
    ( ~ member(y,universal_class)
    | member(y,unordered_pair(y,x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET068-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n022.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 12:11:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.51  % symbols: 51
% 0.19/0.51  % clauses: 151
% 0.19/0.51  % start clauses: 1
% 0.19/0.51  % iterative deepening steps: 468
% 0.19/0.51  % maximum path limit: 4
% 0.19/0.51  % literal attempts: 184532
% 0.19/0.51  % depth failures: 141096
% 0.19/0.51  % regularity failures: 6493
% 0.19/0.51  % tautology failures: 7266
% 0.19/0.51  % reductions: 15839
% 0.19/0.51  % extensions: 168465
% 0.19/0.51  % SAT variables: 29060
% 0.19/0.51  % SAT clauses: 32616
% 0.19/0.51  % WalkSAT solutions: 32614
% 0.19/0.51  % CDCL solutions: 0
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------