TSTP Solution File: SYN058+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYN058+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 05:51:20 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   6 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   42 (  15   ~;  13   |;   8   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (   4 sgn  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel28,conjecture,
    ! [X1] :
      ( ( big_p(X1)
        & big_f(X1) )
     => big_g(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel28) ).

fof(pel28_1,axiom,
    ! [X1] :
      ( big_p(X1)
     => ! [X2] : big_q(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel28_1) ).

fof(pel28_2,axiom,
    ( ! [X1] :
        ( big_q(X1)
        | big_r(X1) )
   => ? [X3] :
        ( big_q(X3)
        & big_s(X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel28_2) ).

fof(pel28_3,axiom,
    ( ? [X1] : big_s(X1)
   => ! [X3] :
        ( big_f(X3)
       => big_g(X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel28_3) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1] :
        ( ( big_p(X1)
          & big_f(X1) )
       => big_g(X1) ),
    inference(assume_negation,[status(cth)],[pel28]) ).

fof(c_0_5,plain,
    ! [X3,X4] :
      ( ~ big_p(X3)
      | big_q(X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel28_1])])])])]) ).

fof(c_0_6,negated_conjecture,
    ( big_p(esk3_0)
    & big_f(esk3_0)
    & ~ big_g(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,plain,
    ( ( big_q(esk2_0)
      | ~ big_q(esk1_0) )
    & ( big_s(esk2_0)
      | ~ big_q(esk1_0) )
    & ( big_q(esk2_0)
      | ~ big_r(esk1_0) )
    & ( big_s(esk2_0)
      | ~ big_r(esk1_0) ) ),
    inference(distribute,[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)],[pel28_2])])])])])]) ).

cnf(c_0_8,plain,
    ( big_q(X1)
    | ~ big_p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    big_p(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,plain,
    ! [X4,X5] :
      ( ~ big_s(X4)
      | ~ big_f(X5)
      | big_g(X5) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel28_3])])])])]) ).

cnf(c_0_11,plain,
    ( big_s(esk2_0)
    | ~ big_q(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    big_q(X1),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( big_g(X1)
    | ~ big_f(X1)
    | ~ big_s(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    big_s(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

cnf(c_0_15,negated_conjecture,
    ~ big_g(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,plain,
    ( big_g(X1)
    | ~ big_f(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    big_f(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN058+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n019.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 : Tue Jul 12 05:05:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.014 s
% 0.23/1.42  
% 0.23/1.42  # Failure: Out of unprocessed clauses!
% 0.23/1.42  # OLD status GaveUp
% 0.23/1.42  # Parsed axioms                        : 4
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 1
% 0.23/1.42  # Initial clauses                      : 5
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 5
% 0.23/1.42  # Processed clauses                    : 6
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 0
% 0.23/1.42  # ...remaining for further processing  : 6
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 0
% 0.23/1.42  # Backward-rewritten                   : 1
% 0.23/1.42  # Generated clauses                    : 1
% 0.23/1.42  # ...of the previous two non-trivial   : 1
% 0.23/1.42  # Contextual simplify-reflections      : 0
% 0.23/1.42  # Paramodulations                      : 1
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 5
% 0.23/1.42  #    Positive orientable unit clauses  : 3
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 1
% 0.23/1.42  #    Non-unit-clauses                  : 1
% 0.23/1.42  # Current number of unprocessed clauses: 0
% 0.23/1.42  # ...number of literals in the above   : 0
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 1
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 0
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 0
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.42  # Unit Clause-clause subsumption calls : 0
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 1
% 0.23/1.42  # BW rewrite match successes           : 1
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 244
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.011 s
% 0.23/1.42  # System time              : 0.003 s
% 0.23/1.42  # Total time               : 0.014 s
% 0.23/1.42  # Maximum resident set size: 2768 pages
% 0.23/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.014 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 19
% 0.23/1.42  # Proof object clause steps            : 10
% 0.23/1.42  # Proof object formula steps           : 9
% 0.23/1.42  # Proof object conjectures             : 8
% 0.23/1.42  # Proof object clause conjectures      : 5
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 6
% 0.23/1.42  # Proof object initial formulas used   : 4
% 0.23/1.42  # Proof object generating inferences   : 3
% 0.23/1.42  # Proof object simplifying inferences  : 4
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 4
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 9
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 9
% 0.23/1.42  # Processed clauses                    : 12
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 0
% 0.23/1.42  # ...remaining for further processing  : 12
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 1
% 0.23/1.42  # Backward-rewritten                   : 5
% 0.23/1.42  # Generated clauses                    : 4
% 0.23/1.42  # ...of the previous two non-trivial   : 4
% 0.23/1.42  # Contextual simplify-reflections      : 0
% 0.23/1.42  # Paramodulations                      : 4
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 6
% 0.23/1.42  #    Positive orientable unit clauses  : 4
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 1
% 0.23/1.42  #    Non-unit-clauses                  : 1
% 0.23/1.42  # Current number of unprocessed clauses: 0
% 0.23/1.42  # ...number of literals in the above   : 0
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 6
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 1
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 1
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 1
% 0.23/1.42  # Unit Clause-clause subsumption calls : 0
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 4
% 0.23/1.42  # BW rewrite match successes           : 4
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 385
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.012 s
% 0.23/1.42  # System time              : 0.003 s
% 0.23/1.42  # Total time               : 0.015 s
% 0.23/1.42  # Maximum resident set size: 2768 pages
%------------------------------------------------------------------------------