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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET081-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n009.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 17:39:08 EDT 2024

% Result   : Unsatisfiable 0.62s 0.84s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   1 nHn;   9 RR)
%            Number of literals    :   17 (   6 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_only_member_in_singleton_2,negated_conjecture,
    y != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_only_member_in_singleton_2) ).

cnf(unordered_pair_member,axiom,
    ( ~ member(X39,unordered_pair(X40,X41))
    | X39 = X40
    | X39 = X41 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

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

cnf(singleton_set,axiom,
    unordered_pair(X44,X44) = singleton(X44),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c57,plain,
    subclass(singleton(X49),unordered_pair(X49,X49)),
    inference(resolution,[status(thm)],[singleton_set,equal_implies_subclass2]) ).

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

cnf(prove_only_member_in_singleton_1,negated_conjecture,
    member(y,singleton(x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_only_member_in_singleton_1) ).

cnf(c52,plain,
    ( ~ subclass(singleton(x),X266)
    | member(y,X266) ),
    inference(resolution,[status(thm)],[prove_only_member_in_singleton_1,subclass_members]) ).

cnf(c838,plain,
    member(y,unordered_pair(x,x)),
    inference(resolution,[status(thm)],[c52,c57]) ).

cnf(c885,plain,
    y = x,
    inference(resolution,[status(thm)],[c838,unordered_pair_member]) ).

cnf(c890,plain,
    $false,
    inference(resolution,[status(thm)],[c885,prove_only_member_in_singleton_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET081-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed May  8 19:40:23 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.62/0.84  % Version:  1.5
% 0.62/0.84  % SZS status Unsatisfiable
% 0.62/0.84  % SZS output start CNFRefutation
% See solution above
% 0.62/0.84  
% 0.62/0.84  % Initial clauses    : 135
% 0.62/0.84  % Processed clauses  : 154
% 0.62/0.84  % Factors computed   : 6
% 0.62/0.84  % Resolvents computed: 870
% 0.62/0.84  % Tautologies deleted: 7
% 0.62/0.84  % Forward subsumed   : 53
% 0.62/0.84  % Backward subsumed  : 0
% 0.62/0.84  % -------- CPU Time ---------
% 0.62/0.84  % User time          : 0.472 s
% 0.62/0.84  % System time        : 0.018 s
% 0.62/0.84  % Total time         : 0.490 s
%------------------------------------------------------------------------------