TSTP Solution File: LCL670+1.001 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LCL670+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n014.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 10:16:25 EDT 2022

% Result   : Theorem 0.58s 49.75s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   46 (  12 unt;   0 def)
%            Number of atoms       :  353 (   0 equ)
%            Maximal formula atoms :  134 (   7 avg)
%            Number of connectives :  599 ( 292   ~; 269   |;  38   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   54 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :  138 (   0 sgn  84   !;   2   ?)

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

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reflexivity) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p3(X1) )
                                  | ~ p2(X2) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p3(X1) )
                                          | ~ p2(X2) ) )
                                & p2(X1)
                                & ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p2(X2) ) ) ) ) )
                      | ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | p3(X2) )
                                        | ~ p2(X1) ) ) )
                        & ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p2(X2) ) ) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p1(X2) ) )
                      & ! [X1] :
                          ( ~ r1(X2,X1)
                          | p1(X1) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | p1(X2) ) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ! [X2] :
                            ( ~ r1(X1,X2)
                            | p2(X2) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p1(X2) ) )
                  | ~ ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ p1(X1) ) ) ),
    inference(assume_negation,[status(cth)],[main]) ).

fof(c_0_3,negated_conjecture,
    ! [X4,X5,X6,X9,X10,X12,X14,X15,X16,X20,X21,X22,X23,X27,X30,X32,X33,X34] :
      ( ( ~ r1(esk1_0,X4)
        | ~ p4(X4) )
      & ( r1(X6,esk2_2(X5,X6))
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( r1(esk2_2(X5,X6),esk3_2(X5,X6))
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( ~ p3(esk3_2(X5,X6))
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( p2(esk2_2(X5,X6))
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( r1(X12,esk5_3(X5,X9,X12))
        | ~ r1(X9,X12)
        | r1(X10,esk4_3(X5,X9,X10))
        | ~ r1(X9,X10)
        | ~ p2(X9)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk5_3(X5,X9,X12),X14)
        | ~ p2(X14)
        | ~ r1(X9,X12)
        | r1(X10,esk4_3(X5,X9,X10))
        | ~ r1(X9,X10)
        | ~ p2(X9)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( r1(X12,esk5_3(X5,X9,X12))
        | ~ r1(X9,X12)
        | ~ p3(esk4_3(X5,X9,X10))
        | ~ r1(X9,X10)
        | ~ p2(X9)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk5_3(X5,X9,X12),X14)
        | ~ p2(X14)
        | ~ r1(X9,X12)
        | ~ p3(esk4_3(X5,X9,X10))
        | ~ r1(X9,X10)
        | ~ p2(X9)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( r1(X12,esk5_3(X5,X9,X12))
        | ~ r1(X9,X12)
        | p2(X10)
        | ~ r1(X9,X10)
        | ~ p2(X9)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk5_3(X5,X9,X12),X14)
        | ~ p2(X14)
        | ~ r1(X9,X12)
        | p2(X10)
        | ~ r1(X9,X10)
        | ~ p2(X9)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( r1(X5,esk8_1(X5))
        | r1(X16,esk6_3(X5,X15,X16))
        | ~ r1(X15,X16)
        | ~ r1(X5,X15)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk8_1(X5),X20)
        | ~ p2(X20)
        | r1(X16,esk6_3(X5,X15,X16))
        | ~ r1(X15,X16)
        | ~ r1(X5,X15)
        | ~ r1(esk1_0,X5) )
      & ( r1(X5,esk8_1(X5))
        | r1(esk6_3(X5,X15,X16),esk7_3(X5,X15,X16))
        | ~ r1(X15,X16)
        | ~ r1(X5,X15)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk8_1(X5),X20)
        | ~ p2(X20)
        | r1(esk6_3(X5,X15,X16),esk7_3(X5,X15,X16))
        | ~ r1(X15,X16)
        | ~ r1(X5,X15)
        | ~ r1(esk1_0,X5) )
      & ( r1(X5,esk8_1(X5))
        | ~ p3(esk7_3(X5,X15,X16))
        | ~ r1(X15,X16)
        | ~ r1(X5,X15)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk8_1(X5),X20)
        | ~ p2(X20)
        | ~ p3(esk7_3(X5,X15,X16))
        | ~ r1(X15,X16)
        | ~ r1(X5,X15)
        | ~ r1(esk1_0,X5) )
      & ( r1(X5,esk8_1(X5))
        | p2(esk6_3(X5,X15,X16))
        | ~ r1(X15,X16)
        | ~ r1(X5,X15)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk8_1(X5),X20)
        | ~ p2(X20)
        | p2(esk6_3(X5,X15,X16))
        | ~ r1(X15,X16)
        | ~ r1(X5,X15)
        | ~ r1(esk1_0,X5) )
      & ( r1(X21,esk9_1(X21))
        | ~ r1(X21,X22)
        | ~ r1(X22,X23)
        | p1(X23)
        | ~ r1(esk1_0,X21) )
      & ( ~ p1(esk9_1(X21))
        | ~ r1(X21,X22)
        | ~ r1(X22,X23)
        | p1(X23)
        | ~ r1(esk1_0,X21) )
      & r1(esk1_0,esk10_0)
      & r1(esk10_0,esk11_0)
      & ( ~ r1(esk11_0,X27)
        | p1(X27) )
      & r1(esk10_0,esk12_0)
      & ~ p1(esk12_0)
      & r1(esk1_0,esk13_0)
      & ( r1(X30,esk14_1(X30))
        | ~ r1(esk13_0,X30) )
      & ( ~ p2(esk14_1(X30))
        | ~ r1(esk13_0,X30) )
      & ( r1(X32,esk15_1(X32))
        | ~ r1(esk1_0,X32)
        | ~ r1(X32,X33)
        | ~ r1(X33,X34)
        | ~ p1(X34) )
      & ( p1(esk15_1(X32))
        | ~ r1(esk1_0,X32)
        | ~ r1(X32,X33)
        | ~ r1(X33,X34)
        | ~ p1(X34) ) ),
    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_2])])])])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( r1(X2,esk2_2(X1,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    r1(esk1_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_6,plain,
    ! [X2] : r1(X2,X2),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_7,negated_conjecture,
    ( p2(esk2_2(X1,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    ( p2(X3)
    | r1(X4,esk5_3(X1,X2,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ p2(X2)
    | ~ r1(X2,X3)
    | ~ r1(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ( r1(X1,esk2_2(esk13_0,X1))
    | ~ r1(esk13_0,X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_10,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    ( p2(esk2_2(esk13_0,X1))
    | ~ r1(esk13_0,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    ( p2(X1)
    | r1(X2,esk5_3(esk13_0,X3,X2))
    | ~ p2(X3)
    | ~ r1(esk13_0,X3)
    | ~ r1(X3,X2)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    r1(esk13_0,esk2_2(esk13_0,esk13_0)),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    p2(esk2_2(esk13_0,esk13_0)),
    inference(spm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( r1(X3,esk6_3(X1,X2,X3))
    | r1(X1,esk8_1(X1))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_16,negated_conjecture,
    ( p2(X1)
    | r1(X2,esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),X2))
    | ~ r1(esk2_2(esk13_0,esk13_0),X2)
    | ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_17,negated_conjecture,
    ( r1(X1,esk14_1(X1))
    | ~ r1(esk13_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_18,negated_conjecture,
    ( p2(esk6_3(X1,X2,X3))
    | r1(X1,esk8_1(X1))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_19,negated_conjecture,
    ( r1(X1,esk6_3(esk13_0,X2,X1))
    | r1(esk13_0,esk8_1(esk13_0))
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_5]) ).

cnf(c_0_20,negated_conjecture,
    ( p2(X1)
    | r1(esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))
    | ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_21,negated_conjecture,
    r1(esk2_2(esk13_0,esk13_0),esk14_1(esk2_2(esk13_0,esk13_0))),
    inference(spm,[status(thm)],[c_0_17,c_0_13]) ).

cnf(c_0_22,negated_conjecture,
    ( p2(esk6_3(esk13_0,X1,X2))
    | r1(esk13_0,esk8_1(esk13_0))
    | ~ r1(esk13_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_5]) ).

cnf(c_0_23,negated_conjecture,
    ( r1(X1,esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
    | r1(esk13_0,esk8_1(esk13_0))
    | ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_13]) ).

cnf(c_0_24,negated_conjecture,
    ( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
    | r1(esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
    | r1(esk13_0,esk8_1(esk13_0))
    | ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_13]) ).

cnf(c_0_26,negated_conjecture,
    ( p2(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ p2(X2)
    | ~ r1(X2,X3)
    | ~ r1(X2,X4)
    | ~ p2(X5)
    | ~ r1(esk5_3(X1,X2,X4),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_27,negated_conjecture,
    ( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
    | r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))))
    | r1(esk13_0,esk8_1(esk13_0)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))))
    | p2(esk14_1(esk2_2(esk13_0,esk13_0)))
    | r1(esk13_0,esk8_1(esk13_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
    | p2(X1)
    | r1(esk13_0,esk8_1(esk13_0))
    | ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_14]),c_0_5]),c_0_10]),c_0_13])]),c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ r1(esk13_0,X1)
    | ~ p2(esk14_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_31,negated_conjecture,
    ( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
    | r1(esk13_0,esk8_1(esk13_0)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_21]) ).

cnf(c_0_32,negated_conjecture,
    r1(esk13_0,esk8_1(esk13_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_13])]) ).

cnf(c_0_33,negated_conjecture,
    ( r1(X3,esk6_3(X1,X2,X3))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X4)
    | ~ r1(esk8_1(X1),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,negated_conjecture,
    r1(esk8_1(esk13_0),esk2_2(esk13_0,esk8_1(esk13_0))),
    inference(spm,[status(thm)],[c_0_9,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    p2(esk2_2(esk13_0,esk8_1(esk13_0))),
    inference(spm,[status(thm)],[c_0_11,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ( p2(esk6_3(X1,X2,X3))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X4)
    | ~ r1(esk8_1(X1),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_37,negated_conjecture,
    ( r1(X1,esk6_3(esk13_0,X2,X1))
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_5])]) ).

cnf(c_0_38,negated_conjecture,
    ( p2(esk6_3(esk13_0,X1,X2))
    | ~ r1(esk13_0,X1)
    | ~ r1(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_34]),c_0_35]),c_0_5])]) ).

cnf(c_0_39,negated_conjecture,
    ( r1(X1,esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
    | ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_13]) ).

cnf(c_0_40,negated_conjecture,
    ( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
    | ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_13]) ).

cnf(c_0_41,negated_conjecture,
    ( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
    | r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_24]) ).

cnf(c_0_42,negated_conjecture,
    ( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))))
    | p2(esk14_1(esk2_2(esk13_0,esk13_0))) ),
    inference(spm,[status(thm)],[c_0_40,c_0_24]) ).

cnf(c_0_43,negated_conjecture,
    ( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
    | p2(X1)
    | ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_41]),c_0_14]),c_0_5]),c_0_10]),c_0_13])]),c_0_42]) ).

cnf(c_0_44,negated_conjecture,
    p2(esk14_1(esk2_2(esk13_0,esk13_0))),
    inference(spm,[status(thm)],[c_0_43,c_0_21]) ).

cnf(c_0_45,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL670+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n014.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 : Mon Jul  4 00:41:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.39/23.41  eprover: CPU time limit exceeded, terminating
% 0.39/23.41  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.55/46.42  eprover: CPU time limit exceeded, terminating
% 0.55/46.42  eprover: CPU time limit exceeded, terminating
% 0.55/46.43  eprover: CPU time limit exceeded, terminating
% 0.55/46.44  eprover: CPU time limit exceeded, terminating
% 0.58/49.75  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.58/49.75  
% 0.58/49.75  # Failure: Resource limit exceeded (time)
% 0.58/49.75  # OLD status Res
% 0.58/49.75  # Preprocessing time       : 0.016 s
% 0.58/49.75  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.58/49.75  
% 0.58/49.75  # Failure: Resource limit exceeded (time)
% 0.58/49.75  # OLD status Res
% 0.58/49.75  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.58/49.75  # Preprocessing time       : 0.020 s
% 0.58/49.75  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.58/49.75  # Preprocessing time       : 0.015 s
% 0.58/49.75  
% 0.58/49.75  # Proof found!
% 0.58/49.75  # SZS status Theorem
% 0.58/49.75  # SZS output start CNFRefutation
% See solution above
% 0.58/49.75  # Proof object total steps             : 46
% 0.58/49.75  # Proof object clause steps            : 41
% 0.58/49.75  # Proof object formula steps           : 5
% 0.58/49.75  # Proof object conjectures             : 43
% 0.58/49.75  # Proof object clause conjectures      : 40
% 0.58/49.75  # Proof object formula conjectures     : 3
% 0.58/49.75  # Proof object initial clauses used    : 12
% 0.58/49.75  # Proof object initial formulas used   : 2
% 0.58/49.75  # Proof object generating inferences   : 29
% 0.58/49.75  # Proof object simplifying inferences  : 24
% 0.58/49.75  # Training examples: 0 positive, 0 negative
% 0.58/49.75  # Parsed axioms                        : 2
% 0.58/49.75  # Removed by relevancy pruning/SinE    : 0
% 0.58/49.75  # Initial clauses                      : 32
% 0.58/49.75  # Removed in clause preprocessing      : 0
% 0.58/49.75  # Initial clauses in saturation        : 32
% 0.58/49.75  # Processed clauses                    : 12509
% 0.58/49.75  # ...of these trivial                  : 6
% 0.58/49.75  # ...subsumed                          : 4686
% 0.58/49.75  # ...remaining for further processing  : 7817
% 0.58/49.75  # Other redundant clauses eliminated   : 0
% 0.58/49.75  # Clauses deleted for lack of memory   : 0
% 0.58/49.75  # Backward-subsumed                    : 406
% 0.58/49.75  # Backward-rewritten                   : 871
% 0.58/49.75  # Generated clauses                    : 42481
% 0.58/49.75  # ...of the previous two non-trivial   : 42053
% 0.58/49.75  # Contextual simplify-reflections      : 5786
% 0.58/49.75  # Paramodulations                      : 42481
% 0.58/49.75  # Factorizations                       : 0
% 0.58/49.75  # Equation resolutions                 : 0
% 0.58/49.75  # Current number of processed clauses  : 6540
% 0.58/49.75  #    Positive orientable unit clauses  : 218
% 0.58/49.75  #    Positive unorientable unit clauses: 0
% 0.58/49.75  #    Negative unit clauses             : 7
% 0.58/49.75  #    Non-unit-clauses                  : 6315
% 0.58/49.75  # Current number of unprocessed clauses: 24861
% 0.58/49.75  # ...number of literals in the above   : 126243
% 0.58/49.75  # Current number of archived formulas  : 0
% 0.58/49.75  # Current number of archived clauses   : 1277
% 0.58/49.75  # Clause-clause subsumption calls (NU) : 7724060
% 0.58/49.75  # Rec. Clause-clause subsumption calls : 1789273
% 0.58/49.75  # Non-unit clause-clause subsumptions  : 10869
% 0.58/49.75  # Unit Clause-clause subsumption calls : 22400
% 0.58/49.75  # Rewrite failures with RHS unbound    : 0
% 0.58/49.75  # BW rewrite match attempts            : 393
% 0.58/49.75  # BW rewrite match successes           : 15
% 0.58/49.75  # Condensation attempts                : 0
% 0.58/49.75  # Condensation successes               : 0
% 0.58/49.75  # Termbank termtop insertions          : 2392983
% 0.58/49.75  
% 0.58/49.75  # -------------------------------------------------
% 0.58/49.75  # User time                : 2.802 s
% 0.58/49.75  # System time              : 0.029 s
% 0.58/49.75  # Total time               : 2.831 s
% 0.58/49.75  # Maximum resident set size: 39184 pages
% 0.58/69.43  eprover: CPU time limit exceeded, terminating
% 0.58/69.45  eprover: CPU time limit exceeded, terminating
% 0.58/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.45  eprover: No such file or directory
% 0.58/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.45  eprover: No such file or directory
% 0.58/69.46  eprover: CPU time limit exceeded, terminating
% 0.58/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.46  eprover: No such file or directory
% 0.58/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.46  eprover: No such file or directory
% 0.58/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.46  eprover: No such file or directory
% 0.58/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.47  eprover: No such file or directory
% 0.58/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.47  eprover: No such file or directory
% 0.58/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.47  eprover: No such file or directory
% 0.58/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.47  eprover: No such file or directory
% 0.58/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.47  eprover: No such file or directory
% 0.58/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.47  eprover: No such file or directory
% 0.58/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.48  eprover: No such file or directory
% 0.58/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.48  eprover: No such file or directory
% 0.58/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.48  eprover: No such file or directory
% 0.58/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.48  eprover: No such file or directory
% 0.58/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.48  eprover: No such file or directory
% 0.58/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.48  eprover: No such file or directory
% 0.58/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.49  eprover: No such file or directory
% 0.58/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.49  eprover: No such file or directory
% 0.58/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.49  eprover: No such file or directory
% 0.58/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.49  eprover: No such file or directory
% 0.58/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.49  eprover: No such file or directory
% 0.58/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.50  eprover: No such file or directory
% 0.58/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.58/69.50  eprover: No such file or directory
% 0.58/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.50  eprover: No such file or directory
% 0.58/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.50  eprover: No such file or directory
% 0.58/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.58/69.50  eprover: No such file or directory
%------------------------------------------------------------------------------