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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO342+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Sat Jul 16 04:05:30 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :  109 (  43 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  138 (  53   ~;  48   |;  36   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   36 (   0 sgn   7   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qe(thee(the(408), 1))',conjecture,
    ? [X1] :
      ( ron(vd1399,X1)
      & ron(vd1401,X1)
      & rline(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qe(thee(the(408), 1))') ).

fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & ? [X2] :
        ( vd1401 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1400 = X3
        & rpoint(X3) )
    & ? [X4] :
        ( vd1399 = X4
        & rpoint(X4) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).

fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
    ! [X123,X124] :
      ( ( X123 != X124
        & ? [X125] :
            ( X124 = X125
            & rpoint(X125) )
        & ? [X126] :
            ( X123 = X126
            & rpoint(X126) ) )
     => ? [X127] :
          ( ron(X124,X127)
          & ron(X123,X127)
          & rline(X127) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( ron(vd1399,X1)
        & ron(vd1401,X1)
        & rline(X1) ),
    inference(assume_negation,[status(cth)],['qe(thee(the(408), 1))']) ).

fof(c_0_4,negated_conjecture,
    ! [X2] :
      ( ~ ron(vd1399,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

fof(c_0_5,plain,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & vd1401 = esk1_0
    & rpoint(esk1_0)
    & vd1400 = esk2_0
    & rpoint(esk2_0)
    & vd1399 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])])])]) ).

fof(c_0_6,plain,
    ! [X128,X129,X130,X131] :
      ( ( ron(X129,esk8_2(X128,X129))
        | X128 = X129
        | X129 != X130
        | ~ rpoint(X130)
        | X128 != X131
        | ~ rpoint(X131) )
      & ( ron(X128,esk8_2(X128,X129))
        | X128 = X129
        | X129 != X130
        | ~ rpoint(X130)
        | X128 != X131
        | ~ rpoint(X131) )
      & ( rline(esk8_2(X128,X129))
        | X128 = X129
        | X129 != X130
        | ~ rpoint(X130)
        | X128 != X131
        | ~ rpoint(X131) ) ),
    inference(distribute,[status(thm)],[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)],['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ rline(X1)
    | ~ ron(vd1401,X1)
    | ~ ron(vd1399,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    vd1399 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    vd1401 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ( X2 = X4
    | ron(X4,esk8_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ rline(X1)
    | ~ ron(esk3_0,X1)
    | ~ ron(esk1_0,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | ron(X2,esk8_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])]) ).

cnf(c_0_13,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,plain,
    ( X2 = X4
    | ron(X2,esk8_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    vd1399 != vd1401,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,negated_conjecture,
    ( X1 = esk3_0
    | ~ rpoint(X1)
    | ~ rline(esk8_2(X1,esk3_0))
    | ~ ron(esk1_0,esk8_2(X1,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_17,plain,
    ( X1 = X2
    | ron(X1,esk8_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])]) ).

cnf(c_0_18,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,plain,
    esk3_0 != esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_8]),c_0_9]) ).

cnf(c_0_20,plain,
    ( X2 = X4
    | rline(esk8_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,negated_conjecture,
    ~ rline(esk8_2(esk1_0,esk3_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_13])]),c_0_19]) ).

cnf(c_0_22,plain,
    ( X1 = X2
    | rline(esk8_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])]) ).

cnf(c_0_23,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_13]),c_0_18])]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO342+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n019.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 : Sat Jun 18 00:01:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.42  # Preprocessing time       : 0.074 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             : 24
% 0.24/1.42  # Proof object clause steps            : 17
% 0.24/1.42  # Proof object formula steps           : 7
% 0.24/1.42  # Proof object conjectures             : 8
% 0.24/1.42  # Proof object clause conjectures      : 5
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 9
% 0.24/1.42  # Proof object initial formulas used   : 3
% 0.24/1.42  # Proof object generating inferences   : 3
% 0.24/1.42  # Proof object simplifying inferences  : 20
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 124
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 291
% 0.24/1.42  # Removed in clause preprocessing      : 2
% 0.24/1.42  # Initial clauses in saturation        : 289
% 0.24/1.42  # Processed clauses                    : 401
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 1
% 0.24/1.42  # ...remaining for further processing  : 400
% 0.24/1.42  # Other redundant clauses eliminated   : 1197
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 5
% 0.24/1.42  # Generated clauses                    : 392
% 0.24/1.42  # ...of the previous two non-trivial   : 376
% 0.24/1.42  # Contextual simplify-reflections      : 8
% 0.24/1.42  # Paramodulations                      : 125
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 1206
% 0.24/1.42  # Current number of processed clauses  : 139
% 0.24/1.42  #    Positive orientable unit clauses  : 26
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 10
% 0.24/1.42  #    Non-unit-clauses                  : 103
% 0.24/1.42  # Current number of unprocessed clauses: 228
% 0.24/1.42  # ...number of literals in the above   : 2347
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 5
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 40718
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 1409
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 8
% 0.24/1.42  # Unit Clause-clause subsumption calls : 115
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 3
% 0.24/1.42  # BW rewrite match successes           : 3
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 61965
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.126 s
% 0.24/1.42  # System time              : 0.006 s
% 0.24/1.42  # Total time               : 0.132 s
% 0.24/1.42  # Maximum resident set size: 5824 pages
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------