TSTP Solution File: SET245-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET245-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n013.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 14.87s 2.23s
% Output   : Proof 14.87s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(restrict(null_class,x,y),null_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_with_null_class1_1)]) ).

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

cnf(g2,plain,
    ( sPE(restrict(null_class,x,y),null_class)
    | sPE(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity2)]) ).

cnf(g3,plain,
    ( ~ sPE(null_class,intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))))
    | ~ sPE(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),null_class)
    | sPE(null_class,null_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    ( ~ sPE(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),null_class)
    | sPE(null_class,intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(null_class,intersection(null_class,cross_product(x,y)))
    | ~ sPE(intersection(null_class,cross_product(x,y)),restrict(null_class,x,y))
    | sPE(null_class,restrict(null_class,x,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(intersection(null_class,cross_product(x,y)),restrict(null_class,x,y)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',restriction1)]) ).

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

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

cnf(g9,plain,
    ( ~ subclass(intersection(null_class,cross_product(x,y)),null_class)
    | ~ subclass(null_class,intersection(null_class,cross_product(x,y)))
    | sPE(intersection(null_class,cross_product(x,y)),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

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

cnf(g11,plain,
    ( ~ member(not_subclass_element(intersection(null_class,cross_product(x,y)),null_class),null_class)
    | subclass(intersection(null_class,cross_product(x,y)),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g12,plain,
    ( subclass(intersection(null_class,cross_product(x,y)),null_class)
    | member(not_subclass_element(intersection(null_class,cross_product(x,y)),null_class),intersection(null_class,cross_product(x,y))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g13,plain,
    ( ~ member(not_subclass_element(intersection(null_class,cross_product(x,y)),null_class),intersection(null_class,cross_product(x,y)))
    | member(not_subclass_element(intersection(null_class,cross_product(x,y)),null_class),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

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

cnf(g15,plain,
    ( ~ sPE(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),null_class)
    | ~ sPE(restrict(null_class,x,y),restrict(null_class,x,y))
    | ~ subclass(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),restrict(null_class,x,y))
    | subclass(null_class,restrict(null_class,x,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( subclass(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),restrict(null_class,x,y))
    | member(not_subclass_element(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),restrict(null_class,x,y)),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g17,plain,
    ( ~ member(not_subclass_element(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),restrict(null_class,x,y)),restrict(null_class,x,y))
    | subclass(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),restrict(null_class,x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g18,plain,
    ( ~ member(not_subclass_element(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),restrict(null_class,x,y)),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))))
    | member(not_subclass_element(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),restrict(null_class,x,y)),restrict(null_class,x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET245-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n013.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 02:00:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 14.87/2.23  % symbols: 60
% 14.87/2.23  % clauses: 160
% 14.87/2.23  % start clauses: 1
% 14.87/2.23  % iterative deepening steps: 1161
% 14.87/2.23  % maximum path limit: 5
% 14.87/2.23  % literal attempts: 2564696
% 14.87/2.23  % depth failures: 2356262
% 14.87/2.23  % regularity failures: 45781
% 14.87/2.23  % tautology failures: 21220
% 14.87/2.23  % reductions: 28899
% 14.87/2.23  % extensions: 2535668
% 14.87/2.23  % SAT variables: 732937
% 14.87/2.23  % SAT clauses: 674032
% 14.87/2.23  % WalkSAT solutions: 674019
% 14.87/2.23  % CDCL solutions: 11
% 14.87/2.23  % SZS status Unsatisfiable for theBenchmark
% 14.87/2.23  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------