TSTP Solution File: SET382-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET382-6 : 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 05:01:01 EDT 2022

% Result   : Unsatisfiable 1.41s 0.54s
% Output   : Proof 1.41s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    subclass(x,cross_product(universal_class,universal_class)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_relation_property2_1)]) ).

cnf(g1,plain,
    ~ sPE(restrict(x,universal_class,universal_class),x),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_relation_property2_2)]) ).

cnf(g2,plain,
    ( ~ sPE(x,restrict(x,universal_class,universal_class))
    | sPE(restrict(x,universal_class,universal_class),x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    ( ~ subclass(x,restrict(x,universal_class,universal_class))
    | ~ subclass(restrict(x,universal_class,universal_class),x)
    | sPE(x,restrict(x,universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

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

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

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

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

cnf(g8,plain,
    ( ~ sPE(intersection(x,cross_product(universal_class,universal_class)),restrict(x,universal_class,universal_class))
    | ~ sPE(x,x)
    | ~ subclass(intersection(x,cross_product(universal_class,universal_class)),x)
    | subclass(restrict(x,universal_class,universal_class),x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g10,plain,
    ( ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),x)
    | subclass(intersection(x,cross_product(universal_class,universal_class)),x) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g11,plain,
    ( ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),intersection(x,cross_product(universal_class,universal_class)))
    | member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),x) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

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

cnf(g13,plain,
    sPE(not_subclass_element(x,restrict(x,universal_class,universal_class)),not_subclass_element(x,restrict(x,universal_class,universal_class))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ member(not_subclass_element(x,restrict(x,universal_class,universal_class)),x)
    | ~ member(not_subclass_element(x,restrict(x,universal_class,universal_class)),cross_product(universal_class,universal_class))
    | member(not_subclass_element(x,restrict(x,universal_class,universal_class)),intersection(x,cross_product(universal_class,universal_class))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET382-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n029.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 : Mon Jul 11 05:34:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.41/0.54  % symbols: 59
% 1.41/0.54  % clauses: 161
% 1.41/0.54  % start clauses: 2
% 1.41/0.54  % iterative deepening steps: 491
% 1.41/0.54  % maximum path limit: 4
% 1.41/0.54  % literal attempts: 338631
% 1.41/0.54  % depth failures: 278911
% 1.41/0.54  % regularity failures: 11419
% 1.41/0.54  % tautology failures: 9958
% 1.41/0.54  % reductions: 8084
% 1.41/0.54  % extensions: 329958
% 1.41/0.54  % SAT variables: 55476
% 1.41/0.54  % SAT clauses: 63975
% 1.41/0.54  % WalkSAT solutions: 63971
% 1.41/0.54  % CDCL solutions: 0
% 1.41/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.41/0.54  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------