%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SEU161+1 : TPTP v8.1.0. Released v3.3.0.
% 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 13:36:04 EDT 2022

% Result   : Theorem 0.39s 0.54s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(t46_zfmisc_1,conjecture,
    ! [A,B] :
      ( in(A,B)
     => set_union2(singleton(A),B) = B ),
    input ).

fof(c6,negated_conjecture,
    ~ ! [A,B] :
        ( in(A,B)
       => set_union2(singleton(A),B) = B ),
    inference(assume_negation,status(cth),[t46_zfmisc_1]) ).

fof(c7,negated_conjecture,
    ? [A,B] :
      ( in(A,B)
      & set_union2(singleton(A),B) != B ),
    inference(fof_nnf,status(thm),[c6]) ).

fof(c8,negated_conjecture,
    ? [X4,X5] :
      ( in(X4,X5)
      & set_union2(singleton(X4),X5) != X5 ),
    inference(variable_rename,status(thm),[c7]) ).

fof(c9,negated_conjecture,
    ( in(skolem0001,skolem0002)
    & set_union2(singleton(skolem0001),skolem0002) != skolem0002 ),
    inference(skolemize,status(esa),[c8]) ).

cnf(c11,negated_conjecture,
    set_union2(singleton(skolem0001),skolem0002) != skolem0002,
    inference(split_conjunct,status(thm),[c9]) ).

cnf(c10,negated_conjecture,
    in(skolem0001,skolem0002),
    inference(split_conjunct,status(thm),[c9]) ).

fof(l23_zfmisc_1,axiom,
    ! [A,B] :
      ( in(A,B)
     => set_union2(singleton(A),B) = B ),
    input ).

fof(c3,axiom,
    ! [A,B] :
      ( ~ in(A,B)
      | set_union2(singleton(A),B) = B ),
    inference(fof_nnf,status(thm),[l23_zfmisc_1]) ).

fof(c4,axiom,
    ! [X2,X3] :
      ( ~ in(X2,X3)
      | set_union2(singleton(X2),X3) = X3 ),
    inference(variable_rename,status(thm),[c3]) ).

cnf(c5,axiom,
    ( ~ in(X54,X53)
    | set_union2(singleton(X54),X53) = X53 ),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c59,plain,
    set_union2(singleton(skolem0001),skolem0002) = skolem0002,
    inference(resolution,status(thm),[c5,c10]) ).

cnf(c63,plain,
    $false,
    inference(resolution,status(thm),[c59,c11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU161+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 12:39:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.39/0.54  # Version:  1.3
% 0.39/0.54  # SZS status Theorem
% 0.39/0.54  # SZS output start CNFRefutation
% See solution above
% 0.39/0.54  
% 0.39/0.54  # Initial clauses    : 14
% 0.39/0.54  # Processed clauses  : 20
% 0.39/0.54  # Factors computed   : 0
% 0.39/0.54  # Resolvents computed: 43
% 0.39/0.54  # Tautologies deleted: 1
% 0.39/0.54  # Forward subsumed   : 12
% 0.39/0.54  # Backward subsumed  : 0
% 0.39/0.54  # -------- CPU Time ---------
% 0.39/0.54  # User time          : 0.173 s
% 0.39/0.54  # System time        : 0.020 s
% 0.39/0.54  # Total time         : 0.193 s
%------------------------------------------------------------------------------