TSTP Solution File: SYN060+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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 05:51:23 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   29 (  11   ~;  10   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel30,conjecture,
    ! [X1] : big_i(X1),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel30) ).

fof(pel30_2,axiom,
    ! [X1] :
      ( ( big_g(X1)
       => ~ big_i(X1) )
     => ( big_f(X1)
        & big_h(X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel30_2) ).

fof(pel30_1,axiom,
    ! [X1] :
      ( ( big_f(X1)
        | big_g(X1) )
     => ~ big_h(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel30_1) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] : big_i(X1),
    inference(assume_negation,[status(cth)],[pel30]) ).

fof(c_0_4,negated_conjecture,
    ~ big_i(esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,plain,
    ! [X2] :
      ( ( big_f(X2)
        | big_g(X2) )
      & ( big_h(X2)
        | big_g(X2) )
      & ( big_f(X2)
        | big_i(X2) )
      & ( big_h(X2)
        | big_i(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel30_2])])])]) ).

fof(c_0_6,plain,
    ! [X2] :
      ( ( ~ big_f(X2)
        | ~ big_h(X2) )
      & ( ~ big_g(X2)
        | ~ big_h(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel30_1])])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ big_i(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( big_i(X1)
    | big_f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( big_i(X1)
    | big_h(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

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

cnf(c_0_11,negated_conjecture,
    big_f(esk1_0),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    big_h(esk1_0),
    inference(spm,[status(thm)],[c_0_7,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 06:00:15 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.014 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 14
% 0.22/1.40  # Proof object clause steps            : 7
% 0.22/1.40  # Proof object formula steps           : 7
% 0.22/1.40  # Proof object conjectures             : 7
% 0.22/1.40  # Proof object clause conjectures      : 4
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 4
% 0.22/1.40  # Proof object initial formulas used   : 3
% 0.22/1.40  # Proof object generating inferences   : 3
% 0.22/1.40  # Proof object simplifying inferences  : 2
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 3
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.40  # Initial clauses                      : 7
% 0.22/1.40  # Removed in clause preprocessing      : 0
% 0.22/1.40  # Initial clauses in saturation        : 7
% 0.22/1.40  # Processed clauses                    : 11
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 0
% 0.22/1.40  # ...remaining for further processing  : 10
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 1
% 0.22/1.40  # Backward-rewritten                   : 2
% 0.22/1.40  # Generated clauses                    : 5
% 0.22/1.40  # ...of the previous two non-trivial   : 5
% 0.22/1.40  # Contextual simplify-reflections      : 1
% 0.22/1.40  # Paramodulations                      : 5
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 7
% 0.22/1.40  #    Positive orientable unit clauses  : 3
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 1
% 0.22/1.40  #    Non-unit-clauses                  : 3
% 0.22/1.40  # Current number of unprocessed clauses: 1
% 0.22/1.40  # ...number of literals in the above   : 1
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 3
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 1
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 1
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 1
% 0.22/1.41  # Unit Clause-clause subsumption calls : 3
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 1
% 0.22/1.41  # BW rewrite match successes           : 1
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 273
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.013 s
% 0.22/1.41  # System time              : 0.001 s
% 0.22/1.41  # Total time               : 0.014 s
% 0.22/1.41  # Maximum resident set size: 2760 pages
%------------------------------------------------------------------------------