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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV385+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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 : Wed Jul 20 18:16:25 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   43 (  24   ~;  13   |;   2   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   24 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l21_co,conjecture,
    ! [X1,X2,X3] :
      ( ( ~ check_cpq(triple(X1,X2,X3))
        | ~ ok(triple(X1,X2,X3)) )
     => ( ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
        | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l21_co) ).

fof(l21_li1316,lemma,
    ! [X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X3))
     => ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l21_li1316) ).

fof(l21_li2225,lemma,
    ! [X1,X2,X3] :
      ( ~ check_cpq(triple(X1,X2,X3))
     => ( ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
        | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l21_li2225) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( ~ check_cpq(triple(X1,X2,X3))
          | ~ ok(triple(X1,X2,X3)) )
       => ( ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
          | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ) ),
    inference(assume_negation,[status(cth)],[l21_co]) ).

fof(c_0_4,lemma,
    ! [X4,X5,X6] :
      ( ok(triple(X4,X5,X6))
      | ~ ok(im_succ_cpq(triple(X4,X5,X6))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l21_li1316])])]) ).

fof(c_0_5,negated_conjecture,
    ( ( ~ check_cpq(triple(esk1_0,esk2_0,esk3_0))
      | ~ ok(triple(esk1_0,esk2_0,esk3_0)) )
    & check_cpq(im_succ_cpq(triple(esk1_0,esk2_0,esk3_0)))
    & ok(im_succ_cpq(triple(esk1_0,esk2_0,esk3_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])]) ).

fof(c_0_6,lemma,
    ! [X4,X5,X6] :
      ( check_cpq(triple(X4,X5,X6))
      | ~ check_cpq(im_succ_cpq(triple(X4,X5,X6)))
      | ~ ok(im_succ_cpq(triple(X4,X5,X6))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l21_li2225])])]) ).

cnf(c_0_7,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ok(im_succ_cpq(triple(esk1_0,esk2_0,esk3_0))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,lemma,
    ( check_cpq(triple(X1,X2,X3))
    | ~ ok(im_succ_cpq(triple(X1,X2,X3)))
    | ~ check_cpq(im_succ_cpq(triple(X1,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    check_cpq(im_succ_cpq(triple(esk1_0,esk2_0,esk3_0))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ ok(triple(esk1_0,esk2_0,esk3_0))
    | ~ check_cpq(triple(esk1_0,esk2_0,esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    ok(triple(esk1_0,esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    check_cpq(triple(esk1_0,esk2_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_10])]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV385+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 19:00:24 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.018 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 15
% 0.24/1.42  # Proof object clause steps            : 8
% 0.24/1.42  # Proof object formula steps           : 7
% 0.24/1.42  # Proof object conjectures             : 9
% 0.24/1.42  # Proof object clause conjectures      : 6
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 5
% 0.24/1.42  # Proof object initial formulas used   : 3
% 0.24/1.42  # Proof object generating inferences   : 2
% 0.24/1.42  # Proof object simplifying inferences  : 6
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 44
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 15
% 0.24/1.42  # Initial clauses                      : 36
% 0.24/1.42  # Removed in clause preprocessing      : 0
% 0.24/1.42  # Initial clauses in saturation        : 36
% 0.24/1.42  # Processed clauses                    : 41
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 1
% 0.24/1.42  # ...remaining for further processing  : 39
% 0.24/1.42  # Other redundant clauses eliminated   : 1
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 1
% 0.24/1.42  # Generated clauses                    : 26
% 0.24/1.42  # ...of the previous two non-trivial   : 21
% 0.24/1.42  # Contextual simplify-reflections      : 2
% 0.24/1.42  # Paramodulations                      : 23
% 0.24/1.42  # Factorizations                       : 2
% 0.24/1.42  # Equation resolutions                 : 1
% 0.24/1.42  # Current number of processed clauses  : 37
% 0.24/1.42  #    Positive orientable unit clauses  : 11
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 2
% 0.24/1.42  #    Non-unit-clauses                  : 24
% 0.24/1.42  # Current number of unprocessed clauses: 15
% 0.24/1.42  # ...number of literals in the above   : 49
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 1
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 84
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 54
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 3
% 0.24/1.42  # Unit Clause-clause subsumption calls : 2
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 1
% 0.24/1.42  # BW rewrite match successes           : 1
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 3139
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.018 s
% 0.24/1.42  # System time              : 0.002 s
% 0.24/1.42  # Total time               : 0.020 s
% 0.24/1.42  # Maximum resident set size: 3060 pages
%------------------------------------------------------------------------------