TSTP Solution File: SET244-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET244-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.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 05:00:15 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(restrict(universal_class,x,y),cross_product(x,y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_with_universal_class_1)]) ).

cnf(g1,plain,
    ( ~ sPE(cross_product(x,y),restrict(universal_class,x,y))
    | sPE(restrict(universal_class,x,y),cross_product(x,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g3,plain,
    ( ~ member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),restrict(universal_class,x,y))
    | subclass(cross_product(x,y),restrict(universal_class,x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g4,plain,
    ( ~ subclass(cross_product(x,y),restrict(universal_class,x,y))
    | ~ subclass(restrict(universal_class,x,y),cross_product(x,y))
    | sPE(cross_product(x,y),restrict(universal_class,x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

cnf(g5,plain,
    sPE(intersection(cross_product(x,y),universal_class),restrict(universal_class,x,y)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',restriction2)]) ).

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

cnf(g7,plain,
    ( ~ sPE(intersection(cross_product(x,y),universal_class),restrict(universal_class,x,y))
    | ~ sPE(cross_product(x,y),cross_product(x,y))
    | ~ subclass(intersection(cross_product(x,y),universal_class),cross_product(x,y))
    | subclass(restrict(universal_class,x,y),cross_product(x,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),cross_product(x,y))
    | subclass(intersection(cross_product(x,y),universal_class),cross_product(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g9,plain,
    ( subclass(intersection(cross_product(x,y),universal_class),cross_product(x,y))
    | member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),intersection(cross_product(x,y),universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g10,plain,
    subclass(cross_product(x,y),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g11,plain,
    sPE(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),not_subclass_element(cross_product(x,y),restrict(universal_class,x,y))),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g13,plain,
    ( ~ member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),cross_product(x,y))
    | ~ member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),universal_class)
    | member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),intersection(cross_product(x,y),universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).

cnf(g14,plain,
    ( ~ subclass(cross_product(x,y),universal_class)
    | ~ member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),cross_product(x,y))
    | member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g15,plain,
    ( ~ member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),intersection(cross_product(x,y),universal_class))
    | member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),cross_product(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET244-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n029.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 : Mon Jul 11 03:40:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.54  % symbols: 60
% 0.20/0.54  % clauses: 160
% 0.20/0.54  % start clauses: 1
% 0.20/0.54  % iterative deepening steps: 334
% 0.20/0.54  % maximum path limit: 4
% 0.20/0.54  % literal attempts: 174269
% 0.20/0.54  % depth failures: 143359
% 0.20/0.54  % regularity failures: 6685
% 0.20/0.54  % tautology failures: 4771
% 0.20/0.54  % reductions: 3168
% 0.20/0.54  % extensions: 170920
% 0.20/0.54  % SAT variables: 53289
% 0.20/0.54  % SAT clauses: 59881
% 0.20/0.54  % WalkSAT solutions: 59875
% 0.20/0.54  % CDCL solutions: 0
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------