TSTP Solution File: SET442-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET442-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n026.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 05:01:20 EDT 2022

% Result   : Unsatisfiable 2.14s 0.65s
% Output   : Proof 2.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    function(xf),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restrict_a_function_1)]) ).

cnf(g1,plain,
    ~ sPE(restrict(xf,universal_class,universal_class),xf),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restrict_a_function_2)]) ).

cnf(g2,plain,
    ( ~ function(xf)
    | subclass(xf,cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',function1)]) ).

cnf(g3,plain,
    ( ~ sPE(xf,restrict(xf,universal_class,universal_class))
    | sPE(restrict(xf,universal_class,universal_class),xf) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    ( ~ member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),restrict(xf,universal_class,universal_class))
    | subclass(xf,restrict(xf,universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g5,plain,
    ( subclass(xf,restrict(xf,universal_class,universal_class))
    | member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),xf) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

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

cnf(g7,plain,
    sPE(intersection(xf,cross_product(universal_class,universal_class)),restrict(xf,universal_class,universal_class)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',restriction1)]) ).

cnf(g8,plain,
    ( subclass(intersection(xf,cross_product(universal_class,universal_class)),xf)
    | member(not_subclass_element(intersection(xf,cross_product(universal_class,universal_class)),xf),intersection(xf,cross_product(universal_class,universal_class))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g9,plain,
    ( ~ member(not_subclass_element(intersection(xf,cross_product(universal_class,universal_class)),xf),xf)
    | subclass(intersection(xf,cross_product(universal_class,universal_class)),xf) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g10,plain,
    ( ~ sPE(xf,intersection(xf,cross_product(universal_class,universal_class)))
    | ~ sPE(intersection(xf,cross_product(universal_class,universal_class)),restrict(xf,universal_class,universal_class))
    | sPE(xf,restrict(xf,universal_class,universal_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(intersection(xf,cross_product(universal_class,universal_class)),xf)
    | sPE(xf,intersection(xf,cross_product(universal_class,universal_class))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(intersection(xf,cross_product(universal_class,universal_class)),restrict(xf,universal_class,universal_class))
    | sPE(restrict(xf,universal_class,universal_class),intersection(xf,cross_product(universal_class,universal_class))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ subclass(intersection(xf,cross_product(universal_class,universal_class)),xf)
    | ~ subclass(xf,intersection(xf,cross_product(universal_class,universal_class)))
    | sPE(intersection(xf,cross_product(universal_class,universal_class)),xf) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

cnf(g14,plain,
    ( ~ sPE(xf,xf)
    | ~ sPE(restrict(xf,universal_class,universal_class),intersection(xf,cross_product(universal_class,universal_class)))
    | ~ subclass(xf,restrict(xf,universal_class,universal_class))
    | subclass(xf,intersection(xf,cross_product(universal_class,universal_class))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),not_subclass_element(xf,restrict(xf,universal_class,universal_class)))
    | ~ sPE(intersection(xf,cross_product(universal_class,universal_class)),restrict(xf,universal_class,universal_class))
    | ~ member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),intersection(xf,cross_product(universal_class,universal_class)))
    | member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),restrict(xf,universal_class,universal_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    sPE(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),not_subclass_element(xf,restrict(xf,universal_class,universal_class))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),xf)
    | ~ member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),cross_product(universal_class,universal_class))
    | member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),intersection(xf,cross_product(universal_class,universal_class))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).

cnf(g18,plain,
    ( ~ subclass(xf,cross_product(universal_class,universal_class))
    | ~ member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),xf)
    | member(not_subclass_element(xf,restrict(xf,universal_class,universal_class)),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g19,plain,
    ( ~ member(not_subclass_element(intersection(xf,cross_product(universal_class,universal_class)),xf),intersection(xf,cross_product(universal_class,universal_class)))
    | member(not_subclass_element(intersection(xf,cross_product(universal_class,universal_class)),xf),xf) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET442-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n026.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 : Sat Jul  9 21:39:56 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.14/0.65  % symbols: 59
% 2.14/0.65  % clauses: 161
% 2.14/0.65  % start clauses: 2
% 2.14/0.65  % iterative deepening steps: 859
% 2.14/0.65  % maximum path limit: 4
% 2.14/0.65  % literal attempts: 575647
% 2.14/0.65  % depth failures: 453064
% 2.14/0.65  % regularity failures: 23544
% 2.14/0.65  % tautology failures: 19510
% 2.14/0.65  % reductions: 21502
% 2.14/0.65  % extensions: 553297
% 2.14/0.65  % SAT variables: 69950
% 2.14/0.65  % SAT clauses: 77743
% 2.14/0.65  % WalkSAT solutions: 77742
% 2.14/0.65  % CDCL solutions: 0
% 2.14/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.14/0.65  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------