%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : NUM387+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 17:35:42 EDT 2024

% Result   : Theorem 1.77s 1.94s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   35 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  19   ~;  10   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   29 (   0 sgn  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
    ! [A,B] :
      ( in(A,B)
     => ~ in(B,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(c125,plain,
    ! [A,B] :
      ( in(A,B)
     => ~ in(B,A) ),
    inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).

fof(c126,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | ~ in(B,A) ),
    inference(fof_nnf,[status(thm)],[c125]) ).

fof(c127,plain,
    ! [X40,X41] :
      ( ~ in(X40,X41)
      | ~ in(X41,X40) ),
    inference(variable_rename,[status(thm)],[c126]) ).

cnf(c128,plain,
    ( ~ in(X99,X100)
    | ~ in(X100,X99) ),
    inference(split_conjunct,[status(thm)],[c127]) ).

cnf(c269,plain,
    ~ in(X103,X103),
    inference(factor,[status(thm)],[c128]) ).

cnf(reflexivity,axiom,
    X42 = X42,
    theory(equality) ).

cnf(symmetry,axiom,
    ( X44 != X43
    | X43 = X44 ),
    theory(equality) ).

fof(t14_ordinal1,conjecture,
    ! [A] : A != succ(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_ordinal1) ).

fof(c28,negated_conjecture,
    ~ ! [A] : A != succ(A),
    inference(assume_negation,[status(cth)],[t14_ordinal1]) ).

fof(c29,negated_conjecture,
    ? [A] : A = succ(A),
    inference(fof_nnf,[status(thm)],[c28]) ).

fof(c30,negated_conjecture,
    ? [X12] : X12 = succ(X12),
    inference(variable_rename,[status(thm)],[c29]) ).

fof(c31,negated_conjecture,
    skolem0001 = succ(skolem0001),
    inference(skolemize,[status(esa)],[c30]) ).

cnf(c32,negated_conjecture,
    skolem0001 = succ(skolem0001),
    inference(split_conjunct,[status(thm)],[c31]) ).

cnf(c268,plain,
    succ(skolem0001) = skolem0001,
    inference(resolution,[status(thm)],[c32,symmetry]) ).

cnf(c3,axiom,
    ( X58 != X60
    | X59 != X57
    | ~ in(X58,X59)
    | in(X60,X57) ),
    theory(equality) ).

fof(t10_ordinal1,axiom,
    ! [A] : in(A,succ(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).

fof(c33,plain,
    ! [X13] : in(X13,succ(X13)),
    inference(variable_rename,[status(thm)],[t10_ordinal1]) ).

cnf(c34,plain,
    in(X62,succ(X62)),
    inference(split_conjunct,[status(thm)],[c33]) ).

cnf(c136,plain,
    ( X136 != X135
    | succ(X136) != X134
    | in(X135,X134) ),
    inference(resolution,[status(thm)],[c34,c3]) ).

cnf(c435,plain,
    ( skolem0001 != X315
    | in(X315,skolem0001) ),
    inference(resolution,[status(thm)],[c136,c268]) ).

cnf(c4642,plain,
    in(skolem0001,skolem0001),
    inference(resolution,[status(thm)],[c435,reflexivity]) ).

cnf(c4646,plain,
    $false,
    inference(resolution,[status(thm)],[c4642,c269]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM387+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n027.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 15:57:08 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 1.77/1.94  % Version:  1.5
% 1.77/1.94  % SZS status Theorem
% 1.77/1.94  % SZS output start CNFRefutation
% See solution above
% 1.77/1.95  
% 1.77/1.95  % Initial clauses    : 64
% 1.77/1.95  % Processed clauses  : 448
% 1.77/1.95  % Factors computed   : 5
% 1.77/1.95  % Resolvents computed: 4515
% 1.77/1.95  % Tautologies deleted: 11
% 1.77/1.95  % Forward subsumed   : 421
% 1.77/1.95  % Backward subsumed  : 20
% 1.77/1.95  % -------- CPU Time ---------
% 1.77/1.95  % User time          : 1.581 s
% 1.77/1.95  % System time        : 0.019 s
% 1.77/1.95  % Total time         : 1.600 s
%------------------------------------------------------------------------------