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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET074-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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  : 300s
% DateTime : Thu May  9 17:39:06 EDT 2024

% Result   : Unsatisfiable 1.32s 1.49s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   9 unt;   0 nHn;   9 RR)
%            Number of literals    :   23 (   2 equ;   9 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   :   20 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(special_classes_lemma,axiom,
    ~ member(X52,intersection(complement(X51),X51)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',special_classes_lemma) ).

cnf(equal_implies_subclass1,axiom,
    ( X15 != X16
    | subclass(X15,X16) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).

cnf(prove_corollary_to_unordered_pair_axiom2_2,negated_conjecture,
    unordered_pair(x,y) = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_2) ).

cnf(c120,plain,
    subclass(unordered_pair(x,y),null_class),
    inference(resolution,[status(thm)],[prove_corollary_to_unordered_pair_axiom2_2,equal_implies_subclass1]) ).

cnf(null_class_is_subclass,axiom,
    subclass(null_class,X9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_subclass) ).

cnf(transitivity_of_subclass,axiom,
    ( ~ subclass(X249,X250)
    | ~ subclass(X250,X248)
    | subclass(X249,X248) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_subclass) ).

cnf(c693,plain,
    ( ~ subclass(X257,null_class)
    | subclass(X257,X258) ),
    inference(resolution,[status(thm)],[transitivity_of_subclass,null_class_is_subclass]) ).

cnf(c703,plain,
    subclass(unordered_pair(x,y),X261),
    inference(resolution,[status(thm)],[c693,c120]) ).

cnf(subclass_members,axiom,
    ( ~ subclass(X6,X7)
    | ~ member(X5,X6)
    | member(X5,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(prove_corollary_to_unordered_pair_axiom2_1,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_1) ).

cnf(unordered_pair3,axiom,
    ( ~ member(X58,universal_class)
    | member(X58,unordered_pair(X57,X58)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

cnf(c70,plain,
    member(y,unordered_pair(X69,y)),
    inference(resolution,[status(thm)],[unordered_pair3,prove_corollary_to_unordered_pair_axiom2_1]) ).

cnf(c89,plain,
    ( ~ subclass(unordered_pair(X579,y),X580)
    | member(y,X580) ),
    inference(resolution,[status(thm)],[c70,subclass_members]) ).

cnf(c2926,plain,
    member(y,X581),
    inference(resolution,[status(thm)],[c89,c703]) ).

cnf(c2940,plain,
    $false,
    inference(resolution,[status(thm)],[c2926,special_classes_lemma]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET074-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed May  8 18:54:23 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 1.32/1.49  % Version:  1.5
% 1.32/1.49  % SZS status Unsatisfiable
% 1.32/1.49  % SZS output start CNFRefutation
% See solution above
% 1.32/1.49  
% 1.32/1.49  % Initial clauses    : 159
% 1.32/1.49  % Processed clauses  : 343
% 1.32/1.49  % Factors computed   : 26
% 1.32/1.49  % Resolvents computed: 2886
% 1.32/1.49  % Tautologies deleted: 12
% 1.32/1.49  % Forward subsumed   : 175
% 1.32/1.49  % Backward subsumed  : 16
% 1.32/1.49  % -------- CPU Time ---------
% 1.32/1.49  % User time          : 1.101 s
% 1.32/1.49  % System time        : 0.020 s
% 1.32/1.49  % Total time         : 1.121 s
%------------------------------------------------------------------------------