TSTP Solution File: SYN318+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n009.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 : Thu Jul 21 05:53:10 EDT 2022

% Result   : Theorem 0.25s 1.44s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   28 (  10   ~;   5   |;   3   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   15 (   6 sgn   7   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_2_4,conjecture,
    ? [X1] :
      ( ! [X2] :
          ( big_f(X2)
         => ( big_f(X1)
           => big_g(X2) ) )
     => ( p
       => ! [X2] :
            ( big_f(X2)
           => big_g(X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',church_46_2_4) ).

fof(c_0_1,negated_conjecture,
    ~ ? [X1] :
        ( ! [X2] :
            ( big_f(X2)
           => ( big_f(X1)
             => big_g(X2) ) )
       => ( p
         => ! [X2] :
              ( big_f(X2)
             => big_g(X1) ) ) ),
    inference(assume_negation,[status(cth)],[church_46_2_4]) ).

fof(c_0_2,negated_conjecture,
    ! [X3,X4,X3] :
      ( ( ~ big_f(X4)
        | ~ big_f(X3)
        | big_g(X4) )
      & p
      & big_f(esk1_0)
      & ~ big_g(X3) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( big_g(X1)
    | ~ big_f(X2)
    | ~ big_f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ~ big_g(X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ big_f(X1)
    | ~ big_f(X2) ),
    inference(sr,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    big_f(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ~ big_f(X1),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_6,c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n009.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  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 21:16:22 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.25/1.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.44  # Preprocessing time       : 0.013 s
% 0.25/1.44  
% 0.25/1.44  # Proof found!
% 0.25/1.44  # SZS status Theorem
% 0.25/1.44  # SZS output start CNFRefutation
% See solution above
% 0.25/1.44  # Proof object total steps             : 9
% 0.25/1.44  # Proof object clause steps            : 6
% 0.25/1.44  # Proof object formula steps           : 3
% 0.25/1.44  # Proof object conjectures             : 9
% 0.25/1.44  # Proof object clause conjectures      : 6
% 0.25/1.44  # Proof object formula conjectures     : 3
% 0.25/1.44  # Proof object initial clauses used    : 3
% 0.25/1.44  # Proof object initial formulas used   : 1
% 0.25/1.44  # Proof object generating inferences   : 1
% 0.25/1.44  # Proof object simplifying inferences  : 2
% 0.25/1.44  # Training examples: 0 positive, 0 negative
% 0.25/1.44  # Parsed axioms                        : 1
% 0.25/1.44  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.44  # Initial clauses                      : 4
% 0.25/1.44  # Removed in clause preprocessing      : 0
% 0.25/1.44  # Initial clauses in saturation        : 4
% 0.25/1.44  # Processed clauses                    : 5
% 0.25/1.44  # ...of these trivial                  : 0
% 0.25/1.44  # ...subsumed                          : 0
% 0.25/1.44  # ...remaining for further processing  : 5
% 0.25/1.44  # Other redundant clauses eliminated   : 0
% 0.25/1.44  # Clauses deleted for lack of memory   : 0
% 0.25/1.44  # Backward-subsumed                    : 0
% 0.25/1.44  # Backward-rewritten                   : 0
% 0.25/1.44  # Generated clauses                    : 2
% 0.25/1.44  # ...of the previous two non-trivial   : 1
% 0.25/1.44  # Contextual simplify-reflections      : 0
% 0.25/1.44  # Paramodulations                      : 1
% 0.25/1.44  # Factorizations                       : 0
% 0.25/1.44  # Equation resolutions                 : 0
% 0.25/1.44  # Current number of processed clauses  : 4
% 0.25/1.44  #    Positive orientable unit clauses  : 1
% 0.25/1.44  #    Positive unorientable unit clauses: 0
% 0.25/1.44  #    Negative unit clauses             : 2
% 0.25/1.44  #    Non-unit-clauses                  : 1
% 0.25/1.44  # Current number of unprocessed clauses: 0
% 0.25/1.44  # ...number of literals in the above   : 0
% 0.25/1.44  # Current number of archived formulas  : 0
% 0.25/1.44  # Current number of archived clauses   : 1
% 0.25/1.44  # Clause-clause subsumption calls (NU) : 0
% 0.25/1.44  # Rec. Clause-clause subsumption calls : 0
% 0.25/1.44  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.44  # Unit Clause-clause subsumption calls : 1
% 0.25/1.44  # Rewrite failures with RHS unbound    : 0
% 0.25/1.44  # BW rewrite match attempts            : 0
% 0.25/1.44  # BW rewrite match successes           : 0
% 0.25/1.44  # Condensation attempts                : 0
% 0.25/1.44  # Condensation successes               : 0
% 0.25/1.44  # Termbank termtop insertions          : 216
% 0.25/1.44  
% 0.25/1.44  # -------------------------------------------------
% 0.25/1.44  # User time                : 0.012 s
% 0.25/1.44  # System time              : 0.002 s
% 0.25/1.44  # Total time               : 0.014 s
% 0.25/1.44  # Maximum resident set size: 2756 pages
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