TSTP Solution File: SET222-6 by SATCoP---0.1

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET222-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.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 05:00:06 EDT 2022

% Result   : Unsatisfiable 3.67s 0.92s
% Output   : Proof 3.67s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ subclass(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property4_1)]) ).

cnf(g1,plain,
    ( ~ member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(w,z))
    | subclass(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

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

cnf(g3,plain,
    ( ~ member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),intersection(cross_product(w,x),cross_product(y,z)))
    | member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(w,x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

cnf(g4,plain,
    sPE(cross_product(w,z),cross_product(w,z)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(w,x))
    | sPE(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product4)]) ).

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

cnf(g7,plain,
    ( ~ sPE(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))
    | ~ sPE(cross_product(w,z),cross_product(w,z))
    | ~ member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),cross_product(w,z))
    | member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),cross_product(w,z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))
    | sPE(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))))
    | ~ sPE(intersection(cross_product(w,x),cross_product(y,z)),intersection(cross_product(w,x),cross_product(y,z)))
    | ~ member(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),intersection(cross_product(w,x),cross_product(y,z)))
    | member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),intersection(cross_product(w,x),cross_product(y,z))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),intersection(cross_product(w,x),cross_product(y,z)))
    | member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),cross_product(w,x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

cnf(g11,plain,
    ( ~ member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),cross_product(w,x))
    | member(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),w) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product1)]) ).

cnf(g12,plain,
    ( ~ member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),intersection(cross_product(w,x),cross_product(y,z)))
    | member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),cross_product(y,z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).

cnf(g13,plain,
    ( ~ member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),cross_product(y,z))
    | member(second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),z) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product2)]) ).

cnf(g14,plain,
    ( ~ member(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),w)
    | ~ member(second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),z)
    | member(ordered_pair(first(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z))),second(not_subclass_element(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)))),cross_product(w,z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET222-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 10:39:47 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 3.67/0.92  % symbols: 62
% 3.67/0.92  % clauses: 160
% 3.67/0.92  % start clauses: 1
% 3.67/0.92  % iterative deepening steps: 962
% 3.67/0.92  % maximum path limit: 4
% 3.67/0.92  % literal attempts: 585131
% 3.67/0.92  % depth failures: 458472
% 3.67/0.92  % regularity failures: 24503
% 3.67/0.92  % tautology failures: 15872
% 3.67/0.92  % reductions: 37314
% 3.67/0.92  % extensions: 547605
% 3.67/0.92  % SAT variables: 107705
% 3.67/0.92  % SAT clauses: 123145
% 3.67/0.92  % WalkSAT solutions: 123136
% 3.67/0.92  % CDCL solutions: 8
% 3.67/0.92  % SZS status Unsatisfiable for theBenchmark
% 3.67/0.92  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------