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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 : Sun Jul 17 10:14:17 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   35 (   6 unt;   0 def)
%            Number of atoms       :  267 (   0 equ)
%            Maximal formula atoms :   64 (   7 avg)
%            Number of connectives :  451 ( 219   ~; 187   |;  45   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  114 (   1 sgn  49   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ( ~ p8(X1)
                            & ~ p6(X1)
                            & ~ p4(X1)
                            & ~ p2(X1) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p5(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ~ ( ( ~ p3(X1)
                                        & ~ p1(X1) )
                                      | ( p1(X1)
                                        & p3(X1) ) ) ) ) )
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | p4(X1) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ( ( ~ p2(X1)
                                              & ~ p3(X1) )
                                            | ( p3(X1)
                                              & p2(X1) ) ) ) )
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p3(X2) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( ~ p1(X1)
                                                  & ~ p2(X1) )
                                                | ( p2(X1)
                                                  & p1(X1) ) ) ) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ( p4(X1)
                            & p3(X1)
                            & p2(X1)
                            & p1(X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ( ~ p8(X1)
                              & ~ p6(X1)
                              & ~ p4(X1)
                              & ~ p2(X1) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p5(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( ~ p3(X1)
                                          & ~ p1(X1) )
                                        | ( p1(X1)
                                          & p3(X1) ) ) ) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p4(X1) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ( ( ~ p2(X1)
                                                & ~ p3(X1) )
                                              | ( p3(X1)
                                                & p2(X1) ) ) ) )
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p3(X2) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ( ~ p1(X1)
                                                    & ~ p2(X1) )
                                                  | ( p2(X1)
                                                    & p1(X1) ) ) ) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ( p4(X1)
                              & p3(X1)
                              & p2(X1)
                              & p1(X1) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[main]) ).

fof(c_0_2,negated_conjecture,
    ! [X9,X10,X11,X12,X14,X15,X16,X18,X19] :
      ( r1(esk1_0,esk2_0)
      & r1(esk2_0,esk3_0)
      & r1(esk3_0,esk4_0)
      & r1(esk4_0,esk5_0)
      & ( p8(esk5_0)
        | p6(esk5_0)
        | p4(esk5_0)
        | p2(esk5_0) )
      & r1(esk1_0,esk6_0)
      & ~ p5(esk6_0)
      & ( p3(X12)
        | p1(X12)
        | ~ r1(X11,X12)
        | ~ r1(X10,X11)
        | ~ r1(X9,X10)
        | ~ r1(esk1_0,X9) )
      & ( ~ p1(X12)
        | ~ p3(X12)
        | ~ r1(X11,X12)
        | ~ r1(X10,X11)
        | ~ r1(X9,X10)
        | ~ r1(esk1_0,X9) )
      & ( r1(X9,esk7_1(X9))
        | ~ r1(esk1_0,X9) )
      & ( ~ p4(esk7_1(X9))
        | ~ r1(esk1_0,X9) )
      & ( p2(X16)
        | p3(X16)
        | ~ r1(X15,X16)
        | ~ r1(X14,X15)
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( ~ p3(X16)
        | ~ p2(X16)
        | ~ r1(X15,X16)
        | ~ r1(X14,X15)
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( r1(X14,esk8_2(X9,X14))
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( ~ p3(esk8_2(X9,X14))
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( p1(X19)
        | p2(X19)
        | ~ r1(X18,X19)
        | ~ r1(X14,X18)
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( ~ p2(X19)
        | ~ p1(X19)
        | ~ r1(X18,X19)
        | ~ r1(X14,X18)
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & r1(esk1_0,esk9_0)
      & r1(esk9_0,esk10_0)
      & r1(esk10_0,esk11_0)
      & r1(esk11_0,esk12_0)
      & ( ~ p4(esk12_0)
        | ~ p3(esk12_0)
        | ~ p2(esk12_0)
        | ~ p1(esk12_0) ) ),
    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)],[inference(fof_simplification,[status(thm)],[c_0_1])])])])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ p1(X4)
    | ~ p2(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    r1(esk1_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( p1(X4)
    | p3(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( p3(X4)
    | p2(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk9_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    r1(esk9_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(esk9_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk9_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_6,c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ p2(X4)
    | ~ p3(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ p3(X4)
    | ~ p1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk10_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    r1(esk10_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(esk10_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_16,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk10_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_8]) ).

cnf(c_0_17,negated_conjecture,
    ( p2(X4)
    | p1(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk9_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_11,c_0_4]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ p1(X1)
    | ~ p3(X1)
    | ~ r1(esk9_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_4]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_14]) ).

cnf(c_0_23,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk9_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_4]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk10_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_8]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ p1(X1)
    | ~ p3(X1)
    | ~ r1(esk10_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_8]) ).

cnf(c_0_26,negated_conjecture,
    ( p3(X1)
    | ~ r1(esk11_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk10_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_8]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_14]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ p1(X1)
    | ~ r1(esk11_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_14]),c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_14]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ p2(X1)
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    r1(esk11_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_33,negated_conjecture,
    ~ r1(esk11_0,X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_32,c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 10:27:15 EDT 2022
% 0.12/0.34  % 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       : 0.016 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             : 35
% 0.23/1.42  # Proof object clause steps            : 32
% 0.23/1.42  # Proof object formula steps           : 3
% 0.23/1.42  # Proof object conjectures             : 35
% 0.23/1.42  # Proof object clause conjectures      : 32
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 10
% 0.23/1.42  # Proof object initial formulas used   : 1
% 0.23/1.42  # Proof object generating inferences   : 21
% 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                        : 1
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 22
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 22
% 0.23/1.42  # Processed clauses                    : 144
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 5
% 0.23/1.42  # ...remaining for further processing  : 139
% 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                    : 11
% 0.23/1.42  # Backward-rewritten                   : 0
% 0.23/1.42  # Generated clauses                    : 286
% 0.23/1.42  # ...of the previous two non-trivial   : 251
% 0.23/1.42  # Contextual simplify-reflections      : 19
% 0.23/1.42  # Paramodulations                      : 285
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 127
% 0.23/1.42  #    Positive orientable unit clauses  : 8
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 2
% 0.23/1.42  #    Non-unit-clauses                  : 117
% 0.23/1.42  # Current number of unprocessed clauses: 116
% 0.23/1.42  # ...number of literals in the above   : 615
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 12
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 2753
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 558
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 35
% 0.23/1.42  # Unit Clause-clause subsumption calls : 112
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 0
% 0.23/1.42  # BW rewrite match successes           : 0
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 7339
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.040 s
% 0.23/1.42  # System time              : 0.004 s
% 0.23/1.42  # Total time               : 0.044 s
% 0.23/1.42  # Maximum resident set size: 3292 pages
%------------------------------------------------------------------------------