TSTP Solution File: SYN336+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 17:47:56 EDT 2024

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   25 (   5   ~;   0   |;  12   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   21 (   2 sgn  10   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_15_1,conjecture,
    ! [X] :
    ? [Y1,Y2] :
    ! [Z] :
      ( big_f(X,Z)
     => ( big_f(Y1,Z)
       => ( big_f(Y2,Z)
         => ( big_f(Y1,X)
           => big_f(Z,Y2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_15_1) ).

fof(c0,negated_conjecture,
    ~ ! [X] :
      ? [Y1,Y2] :
      ! [Z] :
        ( big_f(X,Z)
       => ( big_f(Y1,Z)
         => ( big_f(Y2,Z)
           => ( big_f(Y1,X)
             => big_f(Z,Y2) ) ) ) ),
    inference(assume_negation,[status(cth)],[church_46_15_1]) ).

fof(c1,negated_conjecture,
    ? [X] :
    ! [Y1,Y2] :
    ? [Z] :
      ( big_f(X,Z)
      & big_f(Y1,Z)
      & big_f(Y2,Z)
      & big_f(Y1,X)
      & ~ big_f(Z,Y2) ),
    inference(fof_nnf,[status(thm)],[c0]) ).

fof(c2,negated_conjecture,
    ? [X2] :
    ! [X3,X4] :
    ? [X5] :
      ( big_f(X2,X5)
      & big_f(X3,X5)
      & big_f(X4,X5)
      & big_f(X3,X2)
      & ~ big_f(X5,X4) ),
    inference(variable_rename,[status(thm)],[c1]) ).

fof(c3,negated_conjecture,
    ! [X3,X4] :
      ( big_f(skolem0001,skolem0002(X3,X4))
      & big_f(X3,skolem0002(X3,X4))
      & big_f(X4,skolem0002(X3,X4))
      & big_f(X3,skolem0001)
      & ~ big_f(skolem0002(X3,X4),X4) ),
    inference(skolemize,[status(esa)],[c2]) ).

cnf(c7,negated_conjecture,
    big_f(X6,skolem0001),
    inference(split_conjunct,[status(thm)],[c3]) ).

cnf(c8,negated_conjecture,
    ~ big_f(skolem0002(X12,X11),X11),
    inference(split_conjunct,[status(thm)],[c3]) ).

cnf(c9,plain,
    $false,
    inference(resolution,[status(thm)],[c8,c7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n025.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  : 300
% 0.12/0.34  % DateTime : Wed May  8 20:13:08 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.51  % Version:  1.5
% 0.19/0.51  % SZS status Theorem
% 0.19/0.51  % SZS output start CNFRefutation
% See solution above
% 0.19/0.51  
% 0.19/0.51  % Initial clauses    : 5
% 0.19/0.51  % Processed clauses  : 4
% 0.19/0.51  % Factors computed   : 0
% 0.19/0.51  % Resolvents computed: 1
% 0.19/0.51  % Tautologies deleted: 0
% 0.19/0.51  % Forward subsumed   : 0
% 0.19/0.51  % Backward subsumed  : 0
% 0.19/0.51  % -------- CPU Time ---------
% 0.19/0.51  % User time          : 0.153 s
% 0.19/0.51  % System time        : 0.019 s
% 0.19/0.51  % Total time         : 0.172 s
%------------------------------------------------------------------------------