TSTP Solution File: SET069-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET069-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.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 04:58:28 EDT 2022

% Result   : Unsatisfiable 14.21s 2.13s
% Output   : Proof 14.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ member(y,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_1)]) ).

cnf(g1,plain,
    ~ sPE(unordered_pair(x,y),singleton(x)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_2)]) ).

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

cnf(g3,plain,
    ( ~ subclass(unordered_pair(x,y),universal_class)
    | ~ member(y,unordered_pair(x,y))
    | member(y,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g4,plain,
    subclass(unordered_pair(x,y),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g5,plain,
    ( ~ member(x,universal_class)
    | member(x,unordered_pair(x,x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).

cnf(g6,plain,
    ( ~ subclass(singleton(x),unordered_pair(x,y))
    | ~ subclass(unordered_pair(x,y),singleton(x))
    | sPE(singleton(x),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

cnf(g7,plain,
    ( ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,y))
    | subclass(singleton(x),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g8,plain,
    ( subclass(singleton(x),unordered_pair(x,y))
    | member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g9,plain,
    sPE(unordered_pair(x,x),singleton(x)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).

cnf(g10,plain,
    ( subclass(unordered_pair(x,y),singleton(x))
    | member(not_subclass_element(unordered_pair(x,y),singleton(x)),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

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

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

cnf(g13,plain,
    subclass(singleton(x),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g14,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,y),singleton(x)),singleton(x))
    | subclass(unordered_pair(x,y),singleton(x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

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

cnf(g16,plain,
    ( ~ sPE(unordered_pair(x,x),singleton(x))
    | sPE(singleton(x),unordered_pair(x,x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ member(x,universal_class)
    | member(x,unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).

cnf(g18,plain,
    sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),not_subclass_element(singleton(x),unordered_pair(x,y))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
    | ~ sPE(singleton(x),singleton(x))
    | ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x))
    | member(x,singleton(x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,x))
    | sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
    | sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g21,plain,
    ( ~ sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
    | sPE(x,not_subclass_element(singleton(x),unordered_pair(x,y))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

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

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

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

cnf(g26,plain,
    ( ~ subclass(singleton(x),universal_class)
    | ~ member(x,singleton(x))
    | member(x,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g27,plain,
    ( ~ sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),not_subclass_element(singleton(x),unordered_pair(x,y)))
    | ~ sPE(singleton(x),unordered_pair(x,x))
    | ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x))
    | member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    ( ~ sPE(x,not_subclass_element(unordered_pair(x,y),singleton(x)))
    | ~ sPE(unordered_pair(x,x),singleton(x))
    | ~ member(x,unordered_pair(x,x))
    | member(not_subclass_element(unordered_pair(x,y),singleton(x)),singleton(x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ subclass(unordered_pair(x,y),universal_class)
    | ~ member(x,unordered_pair(x,y))
    | member(x,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET069-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n017.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 : Sat Jul  9 18:21:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 14.21/2.13  % symbols: 51
% 14.21/2.13  % clauses: 135
% 14.21/2.13  % start clauses: 2
% 14.21/2.13  % iterative deepening steps: 1522
% 14.21/2.13  % maximum path limit: 4
% 14.21/2.13  % literal attempts: 3074892
% 14.21/2.13  % depth failures: 2485128
% 14.21/2.13  % regularity failures: 183419
% 14.21/2.13  % tautology failures: 47275
% 14.21/2.13  % reductions: 78219
% 14.21/2.13  % extensions: 2995809
% 14.21/2.13  % SAT variables: 417290
% 14.21/2.13  % SAT clauses: 494386
% 14.21/2.13  % WalkSAT solutions: 494340
% 14.21/2.13  % CDCL solutions: 42
% 14.21/2.13  % SZS status Unsatisfiable for theBenchmark
% 14.21/2.13  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------