TSTP Solution File: SYN057+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n013.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 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   52 (  25   ~;  16   |;   5   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (   0 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel27,conjecture,
    ! [X1] :
      ( big_j(X1)
     => ~ big_i(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel27) ).

fof(pel27_4,axiom,
    ( ? [X1] :
        ( big_h(X1)
        & ~ big_g(X1) )
   => ! [X2] :
        ( big_i(X2)
       => ~ big_h(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel27_4) ).

fof(pel27_2,axiom,
    ! [X1] :
      ( big_f(X1)
     => big_h(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel27_2) ).

fof(pel27_3,axiom,
    ! [X1] :
      ( ( big_j(X1)
        & big_i(X1) )
     => big_f(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel27_3) ).

fof(pel27_1,axiom,
    ? [X1] :
      ( big_f(X1)
      & ~ big_g(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel27_1) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1] :
        ( big_j(X1)
       => ~ big_i(X1) ),
    inference(assume_negation,[status(cth)],[pel27]) ).

fof(c_0_6,plain,
    ! [X3,X4] :
      ( ~ big_h(X3)
      | big_g(X3)
      | ~ big_i(X4)
      | ~ big_h(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)],[inference(fof_simplification,[status(thm)],[pel27_4])])])])])]) ).

fof(c_0_7,plain,
    ! [X2] :
      ( ~ big_f(X2)
      | big_h(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel27_2])]) ).

fof(c_0_8,plain,
    ! [X2] :
      ( ~ big_j(X2)
      | ~ big_i(X2)
      | big_f(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel27_3])]) ).

fof(c_0_9,negated_conjecture,
    ( big_j(esk2_0)
    & big_i(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])]) ).

cnf(c_0_10,plain,
    ( big_g(X2)
    | ~ big_h(X1)
    | ~ big_i(X1)
    | ~ big_h(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( big_h(X1)
    | ~ big_f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( big_f(X1)
    | ~ big_i(X1)
    | ~ big_j(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    big_j(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    big_i(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_15,plain,
    ( big_f(esk1_0)
    & ~ big_g(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[pel27_1])])]) ).

cnf(c_0_16,plain,
    ( big_g(X1)
    | ~ big_i(X2)
    | ~ big_h(X1)
    | ~ big_f(X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    big_f(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_18,plain,
    ~ big_g(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    ( big_g(X1)
    | ~ big_h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_17])]) ).

cnf(c_0_20,negated_conjecture,
    ~ big_h(esk1_0),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    big_f(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_11]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 01:32:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.014 s
% 0.22/1.41  
% 0.22/1.41  # Failure: Out of unprocessed clauses!
% 0.22/1.41  # OLD status GaveUp
% 0.22/1.41  # Parsed axioms                        : 5
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 3
% 0.22/1.41  # Initial clauses                      : 3
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 3
% 0.22/1.41  # Processed clauses                    : 3
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 0
% 0.22/1.41  # ...remaining for further processing  : 3
% 0.22/1.41  # Other redundant clauses eliminated   : 0
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 0
% 0.22/1.41  # Backward-rewritten                   : 0
% 0.22/1.41  # Generated clauses                    : 0
% 0.22/1.41  # ...of the previous two non-trivial   : 0
% 0.22/1.41  # Contextual simplify-reflections      : 0
% 0.22/1.41  # Paramodulations                      : 0
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 3
% 0.22/1.41  #    Positive orientable unit clauses  : 2
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 0
% 0.22/1.41  #    Non-unit-clauses                  : 1
% 0.22/1.41  # Current number of unprocessed clauses: 0
% 0.22/1.41  # ...number of literals in the above   : 0
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 0
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 0
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 0
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.22/1.41  # Unit Clause-clause subsumption calls : 0
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 0
% 0.22/1.41  # BW rewrite match successes           : 0
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 160
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.011 s
% 0.22/1.41  # System time              : 0.003 s
% 0.22/1.41  # Total time               : 0.014 s
% 0.22/1.41  # Maximum resident set size: 2768 pages
% 0.22/1.41  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.22/1.41  # Preprocessing time       : 0.013 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 23
% 0.22/1.41  # Proof object clause steps            : 12
% 0.22/1.41  # Proof object formula steps           : 11
% 0.22/1.41  # Proof object conjectures             : 9
% 0.22/1.41  # Proof object clause conjectures      : 6
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 7
% 0.22/1.41  # Proof object initial formulas used   : 5
% 0.22/1.41  # Proof object generating inferences   : 5
% 0.22/1.41  # Proof object simplifying inferences  : 6
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 5
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.41  # Initial clauses                      : 7
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 7
% 0.22/1.41  # Processed clauses                    : 11
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 0
% 0.22/1.41  # ...remaining for further processing  : 11
% 0.22/1.41  # Other redundant clauses eliminated   : 0
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 2
% 0.22/1.41  # Backward-rewritten                   : 0
% 0.22/1.41  # Generated clauses                    : 5
% 0.22/1.41  # ...of the previous two non-trivial   : 4
% 0.22/1.41  # Contextual simplify-reflections      : 0
% 0.22/1.41  # Paramodulations                      : 5
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 9
% 0.22/1.41  #    Positive orientable unit clauses  : 4
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 2
% 0.22/1.41  #    Non-unit-clauses                  : 3
% 0.22/1.41  # Current number of unprocessed clauses: 0
% 0.22/1.41  # ...number of literals in the above   : 0
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 2
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 3
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 3
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 2
% 0.22/1.41  # Unit Clause-clause subsumption calls : 0
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 0
% 0.22/1.41  # BW rewrite match successes           : 0
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 387
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.011 s
% 0.22/1.41  # System time              : 0.003 s
% 0.22/1.41  # Total time               : 0.014 s
% 0.22/1.41  # Maximum resident set size: 2772 pages
%------------------------------------------------------------------------------