%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET073-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n002.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 17:39:06 EDT 2024

% Result   : Unsatisfiable 2.51s 2.68s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (  11 unt;   3 nHn;  17 RR)
%            Number of literals    :   35 (   8 equ;  12 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; 0-2 aty)
%            Number of variables   :   21 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_corollary_to_unordered_pair_axiom1_1,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_1) ).

cnf(complement1,axiom,
    ( ~ member(X59,complement(X60))
    | ~ member(X59,X60) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

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

cnf(equal_implies_subclass1,axiom,
    ( X10 != X9
    | subclass(X10,X9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).

cnf(prove_corollary_to_unordered_pair_axiom1_2,negated_conjecture,
    unordered_pair(x,y) = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_2) ).

cnf(c88,plain,
    subclass(unordered_pair(x,y),null_class),
    inference(resolution,[status(thm)],[prove_corollary_to_unordered_pair_axiom1_2,equal_implies_subclass1]) ).

cnf(unordered_pair2,axiom,
    ( ~ member(X49,universal_class)
    | member(X49,unordered_pair(X49,X48)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c63,plain,
    member(x,unordered_pair(x,X53)),
    inference(resolution,[status(thm)],[unordered_pair2,prove_corollary_to_unordered_pair_axiom1_1]) ).

cnf(c68,plain,
    ( ~ subclass(unordered_pair(x,X364),X363)
    | member(x,X363) ),
    inference(resolution,[status(thm)],[c63,subclass_members]) ).

cnf(c1892,plain,
    member(x,null_class),
    inference(resolution,[status(thm)],[c68,c88]) ).

cnf(c1895,plain,
    ( ~ subclass(null_class,X370)
    | member(x,X370) ),
    inference(resolution,[status(thm)],[c1892,subclass_members]) ).

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

cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(regularity1,axiom,
    ( X125 = null_class
    | member(regular(X125),X125) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c218,plain,
    ( X851 = null_class
    | ~ subclass(X851,X850)
    | member(regular(X851),X850) ),
    inference(resolution,[status(thm)],[regularity1,subclass_members]) ).

cnf(c7766,plain,
    ( X853 = null_class
    | member(regular(X853),universal_class) ),
    inference(resolution,[status(thm)],[c218,class_elements_are_sets]) ).

cnf(c219,plain,
    ( complement(X856) = null_class
    | ~ member(regular(complement(X856)),X856) ),
    inference(resolution,[status(thm)],[regularity1,complement1]) ).

cnf(c7999,plain,
    complement(universal_class) = null_class,
    inference(resolution,[status(thm)],[c219,c7766]) ).

cnf(c8020,plain,
    subclass(null_class,complement(universal_class)),
    inference(resolution,[status(thm)],[c7999,equal_implies_subclass2]) ).

cnf(c8083,plain,
    member(x,complement(universal_class)),
    inference(resolution,[status(thm)],[c8020,c1895]) ).

cnf(c8162,plain,
    ~ member(x,universal_class),
    inference(resolution,[status(thm)],[c8083,complement1]) ).

cnf(c8182,plain,
    $false,
    inference(resolution,[status(thm)],[c8162,prove_corollary_to_unordered_pair_axiom1_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET073-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n002.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  : 300
% 0.14/0.35  % DateTime : Wed May  8 18:54:08 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 2.51/2.68  % Version:  1.5
% 2.51/2.68  % SZS status Unsatisfiable
% 2.51/2.68  % SZS output start CNFRefutation
% See solution above
% 2.51/2.68  
% 2.51/2.68  % Initial clauses    : 135
% 2.51/2.68  % Processed clauses  : 514
% 2.51/2.68  % Factors computed   : 30
% 2.51/2.68  % Resolvents computed: 8117
% 2.51/2.68  % Tautologies deleted: 10
% 2.51/2.68  % Forward subsumed   : 314
% 2.51/2.68  % Backward subsumed  : 4
% 2.51/2.68  % -------- CPU Time ---------
% 2.51/2.68  % User time          : 2.291 s
% 2.51/2.68  % System time        : 0.025 s
% 2.51/2.68  % Total time         : 2.316 s
%------------------------------------------------------------------------------