%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET024-3 : TPTP v8.1.0. Released v1.0.0.
% 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  : 600s
% DateTime : Tue Jul 19 04:34:26 EDT 2022

% Result   : Unsatisfiable 163.27s 163.57s
% Output   : Refutation 163.27s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_membership_of_singleton_set,negated_conjecture,
    ~ member(a,singleton_set(a)),
    input ).

cnf(singleton_set,axiom,
    singleton_set(X45) = non_ordered_pair(X45,X45),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(subset2,axiom,
    ( subset(X230,X231)
    | member(f17(X230,X231),X230) ),
    input ).

cnf(subset3,axiom,
    ( subset(X240,X241)
    | ~ member(f17(X240,X241),X241) ),
    input ).

cnf(c946,plain,
    subset(X242,X242),
    inference(resolution,status(thm),[subset3,subset2]) ).

cnf(c56,plain,
    ( X902 != X903
    | X904 != X905
    | ~ subset(X902,X904)
    | subset(X903,X905) ),
    eq_axiom ).

cnf(c7652,plain,
    ( X2213 != X2214
    | X2213 != X2215
    | subset(X2214,X2215) ),
    inference(resolution,status(thm),[c56,c946]) ).

cnf(c69464,plain,
    ( X2217 != X2216
    | subset(X2216,X2217) ),
    inference(resolution,status(thm),[c7652,reflexivity]) ).

cnf(c69599,plain,
    subset(non_ordered_pair(X2220,X2220),singleton_set(X2220)),
    inference(resolution,status(thm),[c69464,singleton_set]) ).

cnf(a_little_set,plain,
    little_set(a),
    input ).

cnf(non_ordered_pair2,axiom,
    ( member(X33,non_ordered_pair(X31,X32))
    | ~ little_set(X33)
    | X33 != X31 ),
    input ).

cnf(c100,plain,
    ( member(X130,non_ordered_pair(X130,X131))
    | ~ little_set(X130) ),
    inference(resolution,status(thm),[non_ordered_pair2,reflexivity]) ).

cnf(c316,plain,
    member(a,non_ordered_pair(a,X132)),
    inference(resolution,status(thm),[c100,a_little_set]) ).

cnf(subset1,axiom,
    ( ~ subset(X304,X305)
    | ~ member(X306,X304)
    | member(X306,X305) ),
    input ).

cnf(c1379,plain,
    ( ~ subset(non_ordered_pair(a,X3860),X3861)
    | member(a,X3861) ),
    inference(resolution,status(thm),[subset1,c316]) ).

cnf(c154687,plain,
    member(a,singleton_set(a)),
    inference(resolution,status(thm),[c1379,c69599]) ).

cnf(c154717,plain,
    $false,
    inference(resolution,status(thm),[c154687,prove_membership_of_singleton_set]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET024-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 20:22:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 163.27/163.57  # Version:  1.3
% 163.27/163.57  # SZS status Unsatisfiable
% 163.27/163.57  # SZS output start CNFRefutation
% See solution above
% 163.27/163.57  
% 163.27/163.57  # Initial clauses    : 220
% 163.27/163.57  # Processed clauses  : 3449
% 163.27/163.57  # Factors computed   : 13
% 163.27/163.57  # Resolvents computed: 154654
% 163.27/163.57  # Tautologies deleted: 16
% 163.27/163.57  # Forward subsumed   : 2057
% 163.27/163.57  # Backward subsumed  : 50
% 163.27/163.57  # -------- CPU Time ---------
% 163.27/163.57  # User time          : 162.877 s
% 163.27/163.57  # System time        : 0.283 s
% 163.27/163.57  # Total time         : 163.161 s
%------------------------------------------------------------------------------