%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET024-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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  : 300s
% DateTime : Thu May  9 17:38:53 EDT 2024

% Result   : Unsatisfiable 124.96s 125.19s
% Output   : Refutation 124.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (   9 unt;   1 nHn;  10 RR)
%            Number of literals    :   32 (   8 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   28 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_membership_of_singleton_set,negated_conjecture,
    ~ member(a,singleton_set(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_membership_of_singleton_set) ).

cnf(singleton_set,axiom,
    singleton_set(X45) = non_ordered_pair(X45,X45),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',singleton_set) ).

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(subset2,axiom,
    ( subset(X229,X228)
    | member(f17(X229,X228),X229) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset2) ).

cnf(subset3,axiom,
    ( subset(X234,X233)
    | ~ member(f17(X234,X233),X233) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset3) ).

cnf(c936,plain,
    subset(X235,X235),
    inference(resolution,[status(thm)],[subset3,subset2]) ).

cnf(c56,axiom,
    ( X889 != X888
    | X890 != X887
    | ~ subset(X889,X890)
    | subset(X888,X887) ),
    theory(equality) ).

cnf(c5886,plain,
    ( X2513 != X2512
    | X2513 != X2511
    | subset(X2512,X2511) ),
    inference(resolution,[status(thm)],[c56,c936]) ).

cnf(c63997,plain,
    ( X2517 != X2516
    | subset(X2516,X2517) ),
    inference(resolution,[status(thm)],[c5886,reflexivity]) ).

cnf(c64104,plain,
    subset(non_ordered_pair(X2520,X2520),singleton_set(X2520)),
    inference(resolution,[status(thm)],[c63997,singleton_set]) ).

cnf(a_little_set,plain,
    little_set(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set) ).

cnf(non_ordered_pair2,axiom,
    ( member(X32,non_ordered_pair(X33,X31))
    | ~ little_set(X32)
    | X32 != X33 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',non_ordered_pair2) ).

cnf(c102,plain,
    ( member(X124,non_ordered_pair(X124,X125))
    | ~ little_set(X124) ),
    inference(resolution,[status(thm)],[non_ordered_pair2,reflexivity]) ).

cnf(c336,plain,
    member(a,non_ordered_pair(a,X131)),
    inference(resolution,[status(thm)],[c102,a_little_set]) ).

cnf(subset1,axiom,
    ( ~ subset(X305,X303)
    | ~ member(X304,X305)
    | member(X304,X303) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).

cnf(c1363,plain,
    ( ~ subset(non_ordered_pair(a,X3936),X3935)
    | member(a,X3935) ),
    inference(resolution,[status(thm)],[subset1,c336]) ).

cnf(c116397,plain,
    member(a,singleton_set(a)),
    inference(resolution,[status(thm)],[c1363,c64104]) ).

cnf(c116441,plain,
    $false,
    inference(resolution,[status(thm)],[c116397,prove_membership_of_singleton_set]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET024-4 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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  : 300
% 0.14/0.35  % DateTime : Wed May  8 18:24:38 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 124.96/125.19  % Version:  1.5
% 124.96/125.19  % SZS status Unsatisfiable
% 124.96/125.19  % SZS output start CNFRefutation
% See solution above
% 124.96/125.19  
% 124.96/125.19  % Initial clauses    : 212
% 124.96/125.19  % Processed clauses  : 2787
% 124.96/125.19  % Factors computed   : 72
% 124.96/125.19  % Resolvents computed: 116311
% 124.96/125.19  % Tautologies deleted: 18
% 124.96/125.19  % Forward subsumed   : 2747
% 124.96/125.19  % Backward subsumed  : 41
% 124.96/125.19  % -------- CPU Time ---------
% 124.96/125.19  % User time          : 124.528 s
% 124.96/125.19  % System time        : 0.290 s
% 124.96/125.19  % Total time         : 124.818 s
%------------------------------------------------------------------------------