TSTP Solution File: SET071-7 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET071-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n019.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 04:58:30 EDT 2022

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(unordered_pair(x,y),null_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_unordered_pair_1)]) ).

cnf(g1,plain,
    ~ member(x,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_unordered_pair_2)]) ).

cnf(g2,plain,
    ~ member(y,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_unordered_pair_3)]) ).

cnf(g3,plain,
    ( sPE(unordered_pair(x,y),null_class)
    | member(not_subclass_element(unordered_pair(x,y),null_class),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique)]) ).

cnf(g4,plain,
    ( sPE(unordered_pair(x,y),singleton(x))
    | member(y,universal_class) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_equals_singleton1)]) ).

cnf(g5,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,y),null_class),unordered_pair(x,y))
    | sPE(not_subclass_element(unordered_pair(x,y),null_class),x)
    | sPE(not_subclass_element(unordered_pair(x,y),null_class),y) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

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

cnf(g7,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(g8,plain,
    subclass(unordered_pair(x,y),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g9,plain,
    ( ~ sPE(x,x)
    | ~ sPE(unordered_pair(x,y),singleton(x))
    | ~ member(x,unordered_pair(x,y))
    | member(x,singleton(x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(x,x),
    inference(ground_cnf,[],[theory(equality)]) ).

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

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

cnf(g13,plain,
    ( ~ sPE(not_subclass_element(unordered_pair(x,y),null_class),y)
    | ~ sPE(unordered_pair(x,y),unordered_pair(x,y))
    | ~ member(not_subclass_element(unordered_pair(x,y),null_class),unordered_pair(x,y))
    | member(y,unordered_pair(x,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET071-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n019.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 : Sat Jul  9 23:36:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  % symbols: 51
% 0.18/0.44  % clauses: 157
% 0.18/0.44  % start clauses: 3
% 0.18/0.44  % iterative deepening steps: 136
% 0.18/0.44  % maximum path limit: 3
% 0.18/0.44  % literal attempts: 98706
% 0.18/0.44  % depth failures: 87386
% 0.18/0.44  % regularity failures: 2532
% 0.18/0.44  % tautology failures: 1736
% 0.18/0.44  % reductions: 3402
% 0.18/0.44  % extensions: 94968
% 0.18/0.44  % SAT variables: 31960
% 0.18/0.44  % SAT clauses: 28769
% 0.18/0.44  % WalkSAT solutions: 28765
% 0.18/0.44  % CDCL solutions: 0
% 0.18/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.44  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------