TSTP Solution File: SET239-6 by PyRes---1.5

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET239-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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  : 300s
% DateTime : Thu May  9 17:39:25 EDT 2024

% Result   : Unsatisfiable 62.50s 62.69s
% Output   : Refutation 62.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   2 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   15 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_restriction_alternate_defn2_2,negated_conjecture,
    ~ member(z,xr),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_2) ).

cnf(intersection2,axiom,
    ( ~ member(X117,intersection(X118,X119))
    | member(X117,X119) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(equal_implies_subclass2,axiom,
    ( X14 != X15
    | subclass(X15,X14) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).

cnf(restriction2,axiom,
    intersection(cross_product(X163,X164),X162) = restrict(X162,X163,X164),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction2) ).

cnf(c247,plain,
    subclass(restrict(X941,X942,X943),intersection(cross_product(X942,X943),X941)),
    inference(resolution,[status(thm)],[restriction2,equal_implies_subclass2]) ).

cnf(subclass_members,axiom,
    ( ~ subclass(X4,X6)
    | ~ member(X5,X4)
    | member(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(prove_restriction_alternate_defn2_1,negated_conjecture,
    member(z,restrict(xr,x,y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_1) ).

cnf(c500,plain,
    ( ~ subclass(restrict(xr,x,y),X1828)
    | member(z,X1828) ),
    inference(resolution,[status(thm)],[prove_restriction_alternate_defn2_1,subclass_members]) ).

cnf(c39104,plain,
    member(z,intersection(cross_product(x,y),xr)),
    inference(resolution,[status(thm)],[c500,c247]) ).

cnf(c76728,plain,
    member(z,xr),
    inference(resolution,[status(thm)],[c39104,intersection2]) ).

cnf(c76750,plain,
    $false,
    inference(resolution,[status(thm)],[c76728,prove_restriction_alternate_defn2_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET239-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed May  8 18:50:53 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 62.50/62.69  % Version:  1.5
% 62.50/62.69  % SZS status Unsatisfiable
% 62.50/62.69  % SZS output start CNFRefutation
% See solution above
% 62.50/62.69  
% 62.50/62.69  % Initial clauses    : 161
% 62.50/62.69  % Processed clauses  : 2341
% 62.50/62.69  % Factors computed   : 33
% 62.50/62.69  % Resolvents computed: 76698
% 62.50/62.69  % Tautologies deleted: 17
% 62.50/62.69  % Forward subsumed   : 1425
% 62.50/62.69  % Backward subsumed  : 41
% 62.50/62.69  % -------- CPU Time ---------
% 62.50/62.69  % User time          : 62.162 s
% 62.50/62.69  % System time        : 0.151 s
% 62.50/62.69  % Total time         : 62.313 s
%------------------------------------------------------------------------------