TSTP Solution File: ALG273^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ALG273^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Mon May 20 18:05:59 EDT 2024

% Result   : Theorem 8.25s 1.50s
% Output   : CNFRefutation 8.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  113 (  29 unt;  22 typ;   0 def)
%            Number of atoms       :  247 ( 222 equ;   0 cnn)
%            Maximal formula atoms :   24 (   2 avg)
%            Number of connectives :  926 (  43   ~;  97   |;  25   &; 759   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   67 (  67   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;  12 con; 0-2 aty)
%            Number of variables   :  273 (  30   ^ 233   !;  10   ?; 273   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    g: $tType ).

thf(decl_22,type,
    cGROUP2: ( g > g > g ) > g > $o ).

thf(decl_23,type,
    cGROUP3: ( g > g > g ) > g > $o ).

thf(decl_24,type,
    cGRP_ASSOC: ( g > g > g ) > $o ).

thf(decl_25,type,
    cGRP_LEFT_INVERSE: ( g > g > g ) > g > $o ).

thf(decl_26,type,
    cGRP_LEFT_UNIT: ( g > g > g ) > g > $o ).

thf(decl_27,type,
    cGRP_RIGHT_INVERSE: ( g > g > g ) > g > $o ).

thf(decl_28,type,
    cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).

thf(decl_29,type,
    esk1_0: g > g > g ).

thf(decl_30,type,
    esk2_0: g ).

thf(decl_31,type,
    esk3_0: g ).

thf(decl_32,type,
    esk4_0: g ).

thf(decl_33,type,
    esk5_0: g ).

thf(decl_34,type,
    esk6_0: g ).

thf(decl_35,type,
    esk7_0: g ).

thf(decl_36,type,
    esk8_0: g ).

thf(decl_37,type,
    esk9_0: g ).

thf(decl_38,type,
    esk10_0: g ).

thf(decl_39,type,
    esk11_0: g ).

thf(decl_40,type,
    esk12_0: g ).

thf(decl_41,type,
    esk13_1: g > g ).

thf(decl_42,type,
    esk14_1: g > g ).

thf(cGROUP2_def,axiom,
    ( cGROUP2
    = ( ^ [X1: g > g > g,X5: g] :
          ( ( cGRP_ASSOC @ X1 )
          & ( cGRP_LEFT_UNIT @ X1 @ X5 )
          & ( cGRP_LEFT_INVERSE @ X1 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGROUP2_def) ).

thf(cGRP_ASSOC_def,axiom,
    ( cGRP_ASSOC
    = ( ^ [X1: g > g > g] :
        ! [X2: g,X3: g,X4: g] :
          ( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
          = ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_ASSOC_def) ).

thf(cGRP_LEFT_INVERSE_def,axiom,
    ( cGRP_LEFT_INVERSE
    = ( ^ [X1: g > g > g,X5: g] :
        ! [X2: g] :
        ? [X3: g] :
          ( ( X1 @ X3 @ X2 )
          = X5 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_LEFT_INVERSE_def) ).

thf(cGRP_LEFT_UNIT_def,axiom,
    ( cGRP_LEFT_UNIT
    = ( ^ [X1: g > g > g,X5: g] :
        ! [X2: g] :
          ( ( X1 @ X5 @ X2 )
          = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_LEFT_UNIT_def) ).

thf(cGROUP3_def,axiom,
    ( cGROUP3
    = ( ^ [X1: g > g > g,X5: g] :
          ( ( cGRP_ASSOC @ X1 )
          & ( cGRP_RIGHT_UNIT @ X1 @ X5 )
          & ( cGRP_RIGHT_INVERSE @ X1 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGROUP3_def) ).

thf(cGRP_RIGHT_INVERSE_def,axiom,
    ( cGRP_RIGHT_INVERSE
    = ( ^ [X1: g > g > g,X5: g] :
        ! [X2: g] :
        ? [X3: g] :
          ( ( X1 @ X2 @ X3 )
          = X5 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_RIGHT_INVERSE_def) ).

thf(cGRP_RIGHT_UNIT_def,axiom,
    ( cGRP_RIGHT_UNIT
    = ( ^ [X1: g > g > g,X5: g] :
        ! [X2: g] :
          ( ( X1 @ X2 @ X5 )
          = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_RIGHT_UNIT_def) ).

thf(cEQUIV_02_03,conjecture,
    ! [X1: g > g > g,X5: g] :
      ( ( cGROUP2 @ X1 @ X5 )
    <=> ( cGROUP3 @ X1 @ X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEQUIV_02_03) ).

thf(c_0_8,plain,
    ( cGROUP2
    = ( ^ [Z0: g > g > g,Z1: g] :
          ( ! [X8: g,X9: g,X10: g] :
              ( ( Z0 @ ( Z0 @ X8 @ X9 ) @ X10 )
              = ( Z0 @ X8 @ ( Z0 @ X9 @ X10 ) ) )
          & ! [X11: g] :
              ( ( Z0 @ Z1 @ X11 )
              = X11 )
          & ! [X12: g] :
            ? [X13: g] :
              ( ( Z0 @ X13 @ X12 )
              = Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[cGROUP2_def]) ).

thf(c_0_9,plain,
    ( cGRP_ASSOC
    = ( ^ [Z0: g > g > g] :
        ! [X2: g,X3: g,X4: g] :
          ( ( Z0 @ ( Z0 @ X2 @ X3 ) @ X4 )
          = ( Z0 @ X2 @ ( Z0 @ X3 @ X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[cGRP_ASSOC_def]) ).

thf(c_0_10,plain,
    ( cGRP_LEFT_INVERSE
    = ( ^ [Z0: g > g > g,Z1: g] :
        ! [X2: g] :
        ? [X3: g] :
          ( ( Z0 @ X3 @ X2 )
          = Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[cGRP_LEFT_INVERSE_def]) ).

thf(c_0_11,plain,
    ( cGRP_LEFT_UNIT
    = ( ^ [Z0: g > g > g,Z1: g] :
        ! [X2: g] :
          ( ( Z0 @ Z1 @ X2 )
          = X2 ) ) ),
    inference(fof_simplification,[status(thm)],[cGRP_LEFT_UNIT_def]) ).

thf(c_0_12,plain,
    ( cGROUP3
    = ( ^ [Z0: g > g > g,Z1: g] :
          ( ! [X14: g,X15: g,X16: g] :
              ( ( Z0 @ ( Z0 @ X14 @ X15 ) @ X16 )
              = ( Z0 @ X14 @ ( Z0 @ X15 @ X16 ) ) )
          & ! [X17: g] :
              ( ( Z0 @ X17 @ Z1 )
              = X17 )
          & ! [X18: g] :
            ? [X19: g] :
              ( ( Z0 @ X18 @ X19 )
              = Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[cGROUP3_def]) ).

thf(c_0_13,plain,
    ( cGRP_RIGHT_INVERSE
    = ( ^ [Z0: g > g > g,Z1: g] :
        ! [X2: g] :
        ? [X3: g] :
          ( ( Z0 @ X2 @ X3 )
          = Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[cGRP_RIGHT_INVERSE_def]) ).

thf(c_0_14,plain,
    ( cGRP_RIGHT_UNIT
    = ( ^ [Z0: g > g > g,Z1: g] :
        ! [X2: g] :
          ( ( Z0 @ X2 @ Z1 )
          = X2 ) ) ),
    inference(fof_simplification,[status(thm)],[cGRP_RIGHT_UNIT_def]) ).

thf(c_0_15,plain,
    ( cGROUP2
    = ( ^ [Z0: g > g > g,Z1: g] :
          ( ! [X8: g,X9: g,X10: g] :
              ( ( Z0 @ ( Z0 @ X8 @ X9 ) @ X10 )
              = ( Z0 @ X8 @ ( Z0 @ X9 @ X10 ) ) )
          & ! [X11: g] :
              ( ( Z0 @ Z1 @ X11 )
              = X11 )
          & ! [X12: g] :
            ? [X13: g] :
              ( ( Z0 @ X13 @ X12 )
              = Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]) ).

thf(c_0_16,plain,
    ( cGROUP3
    = ( ^ [Z0: g > g > g,Z1: g] :
          ( ! [X14: g,X15: g,X16: g] :
              ( ( Z0 @ ( Z0 @ X14 @ X15 ) @ X16 )
              = ( Z0 @ X14 @ ( Z0 @ X15 @ X16 ) ) )
          & ! [X17: g] :
              ( ( Z0 @ X17 @ Z1 )
              = X17 )
          & ! [X18: g] :
            ? [X19: g] :
              ( ( Z0 @ X18 @ X19 )
              = Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_9]),c_0_13]),c_0_14]) ).

thf(c_0_17,negated_conjecture,
    ~ ! [X1: g > g > g,X5: g] :
        ( ( ! [X20: g,X21: g,X22: g] :
              ( ( X1 @ ( X1 @ X20 @ X21 ) @ X22 )
              = ( X1 @ X20 @ ( X1 @ X21 @ X22 ) ) )
          & ! [X23: g] :
              ( ( X1 @ X5 @ X23 )
              = X23 )
          & ! [X24: g] :
            ? [X25: g] :
              ( ( X1 @ X25 @ X24 )
              = X5 ) )
      <=> ( ! [X26: g,X27: g,X28: g] :
              ( ( X1 @ ( X1 @ X26 @ X27 ) @ X28 )
              = ( X1 @ X26 @ ( X1 @ X27 @ X28 ) ) )
          & ! [X29: g] :
              ( ( X1 @ X29 @ X5 )
              = X29 )
          & ! [X30: g] :
            ? [X31: g] :
              ( ( X1 @ X30 @ X31 )
              = X5 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cEQUIV_02_03]),c_0_15]),c_0_16]) ).

thf(c_0_18,negated_conjecture,
    ! [X39: g,X45: g,X46: g,X47: g,X48: g,X49: g,X50: g,X52: g,X53: g,X54: g,X55: g,X56: g] :
      ( ( ( ( esk1_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ esk5_0 )
         != ( esk1_0 @ esk3_0 @ ( esk1_0 @ esk4_0 @ esk5_0 ) ) )
        | ( ( esk1_0 @ esk2_0 @ esk6_0 )
         != esk6_0 )
        | ( ( esk1_0 @ X39 @ esk7_0 )
         != esk2_0 )
        | ( ( esk1_0 @ ( esk1_0 @ esk8_0 @ esk9_0 ) @ esk10_0 )
         != ( esk1_0 @ esk8_0 @ ( esk1_0 @ esk9_0 @ esk10_0 ) ) )
        | ( ( esk1_0 @ esk11_0 @ esk2_0 )
         != esk11_0 )
        | ( ( esk1_0 @ esk12_0 @ X45 )
         != esk2_0 ) )
      & ( ( ( esk1_0 @ ( esk1_0 @ X52 @ X53 ) @ X54 )
          = ( esk1_0 @ X52 @ ( esk1_0 @ X53 @ X54 ) ) )
        | ( ( esk1_0 @ ( esk1_0 @ X46 @ X47 ) @ X48 )
          = ( esk1_0 @ X46 @ ( esk1_0 @ X47 @ X48 ) ) ) )
      & ( ( ( esk1_0 @ X55 @ esk2_0 )
          = X55 )
        | ( ( esk1_0 @ ( esk1_0 @ X46 @ X47 ) @ X48 )
          = ( esk1_0 @ X46 @ ( esk1_0 @ X47 @ X48 ) ) ) )
      & ( ( ( esk1_0 @ X56 @ ( esk14_1 @ X56 ) )
          = esk2_0 )
        | ( ( esk1_0 @ ( esk1_0 @ X46 @ X47 ) @ X48 )
          = ( esk1_0 @ X46 @ ( esk1_0 @ X47 @ X48 ) ) ) )
      & ( ( ( esk1_0 @ ( esk1_0 @ X52 @ X53 ) @ X54 )
          = ( esk1_0 @ X52 @ ( esk1_0 @ X53 @ X54 ) ) )
        | ( ( esk1_0 @ esk2_0 @ X49 )
          = X49 ) )
      & ( ( ( esk1_0 @ X55 @ esk2_0 )
          = X55 )
        | ( ( esk1_0 @ esk2_0 @ X49 )
          = X49 ) )
      & ( ( ( esk1_0 @ X56 @ ( esk14_1 @ X56 ) )
          = esk2_0 )
        | ( ( esk1_0 @ esk2_0 @ X49 )
          = X49 ) )
      & ( ( ( esk1_0 @ ( esk1_0 @ X52 @ X53 ) @ X54 )
          = ( esk1_0 @ X52 @ ( esk1_0 @ X53 @ X54 ) ) )
        | ( ( esk1_0 @ ( esk13_1 @ X50 ) @ X50 )
          = esk2_0 ) )
      & ( ( ( esk1_0 @ X55 @ esk2_0 )
          = X55 )
        | ( ( esk1_0 @ ( esk13_1 @ X50 ) @ X50 )
          = esk2_0 ) )
      & ( ( ( esk1_0 @ X56 @ ( esk14_1 @ X56 ) )
          = esk2_0 )
        | ( ( esk1_0 @ ( esk13_1 @ X50 ) @ X50 )
          = esk2_0 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).

thf(c_0_19,negated_conjecture,
    ! [X2: g,X3: g,X4: g,X5: g,X7: g,X8: g] :
      ( ( ( esk1_0 @ ( esk1_0 @ X2 @ X3 ) @ X4 )
        = ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ X4 ) ) )
      | ( ( esk1_0 @ ( esk1_0 @ X5 @ X7 ) @ X8 )
        = ( esk1_0 @ X5 @ ( esk1_0 @ X7 @ X8 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_20,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ esk5_0 )
       != ( esk1_0 @ esk3_0 @ ( esk1_0 @ esk4_0 @ esk5_0 ) ) )
      | ( ( esk1_0 @ esk2_0 @ esk6_0 )
       != esk6_0 )
      | ( ( esk1_0 @ X2 @ esk7_0 )
       != esk2_0 )
      | ( ( esk1_0 @ ( esk1_0 @ esk8_0 @ esk9_0 ) @ esk10_0 )
       != ( esk1_0 @ esk8_0 @ ( esk1_0 @ esk9_0 @ esk10_0 ) ) )
      | ( ( esk1_0 @ esk11_0 @ esk2_0 )
       != esk11_0 )
      | ( ( esk1_0 @ esk12_0 @ X3 )
       != esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_21,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( esk1_0 @ ( esk1_0 @ X2 @ X3 ) @ X4 )
      = ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ X4 ) ) ),
    inference(ef,[status(thm)],[c_0_19]) ).

thf(c_0_22,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ esk2_0 )
        = X2 )
      | ( ( esk1_0 @ ( esk13_1 @ X3 ) @ X3 )
        = esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_23,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ esk2_0 )
        = X2 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_24,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
        = esk2_0 )
      | ( ( esk1_0 @ ( esk13_1 @ X3 ) @ X3 )
        = esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_25,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ esk2_0 @ esk6_0 )
       != esk6_0 )
      | ( ( esk1_0 @ esk11_0 @ esk2_0 )
       != esk11_0 )
      | ( ( esk1_0 @ X2 @ esk7_0 )
       != esk2_0 )
      | ( ( esk1_0 @ esk12_0 @ X3 )
       != esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21])]) ).

thf(c_0_26,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) )
        = ( esk1_0 @ X2 @ X3 ) )
      | ( ( esk1_0 @ ( esk13_1 @ X4 ) @ X4 )
        = esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

thf(c_0_27,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) )
        = ( esk1_0 @ X2 @ X3 ) )
      | ( ( esk1_0 @ esk2_0 @ X4 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_21]) ).

thf(c_0_28,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ ( esk14_1 @ ( esk1_0 @ X2 @ X3 ) ) ) )
        = esk2_0 )
      | ( ( esk1_0 @ ( esk13_1 @ X4 ) @ X4 )
        = esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_21]) ).

thf(c_0_29,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) )
        = ( esk1_0 @ X2 @ X3 ) )
      | ( ( esk1_0 @ esk11_0 @ esk2_0 )
       != esk11_0 )
      | ( ( esk1_0 @ esk12_0 @ X4 )
       != esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

thf(c_0_30,negated_conjecture,
    ! [X2: g,X3: g,X4: g,X5: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ ( esk14_1 @ ( esk1_0 @ X2 @ X3 ) ) ) )
        = esk2_0 )
      | ( ( esk1_0 @ ( esk13_1 @ X4 ) @ ( esk1_0 @ X4 @ X5 ) )
        = ( esk1_0 @ esk2_0 @ X5 ) ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_28]) ).

thf(c_0_31,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
        = ( esk1_0 @ esk2_0 @ X3 ) )
      | ( ( esk1_0 @ X4 @ esk2_0 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_32,negated_conjecture,
    ! [X2: g,X3: g,X4: g,X5: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
        = ( esk1_0 @ esk2_0 @ X3 ) )
      | ( ( esk1_0 @ X4 @ ( esk1_0 @ X5 @ esk2_0 ) )
        = ( esk1_0 @ X4 @ X5 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

thf(c_0_33,negated_conjecture,
    ( ( esk1_0 @ esk2_0 @ esk2_0 )
    = esk2_0 ),
    inference(ef,[status(thm)],[c_0_23]) ).

thf(c_0_34,negated_conjecture,
    ! [X2: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ esk2_0 ) )
        = esk2_0 )
      | ( ( esk1_0 @ ( esk13_1 @ X2 ) @ X2 )
       != esk2_0 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_32]),c_0_33]),c_0_33]) ).

thf(c_0_35,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ esk2_0 ) )
        = esk2_0 )
      | ( ( esk1_0 @ X3 @ esk2_0 )
        = X3 ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_22]) ).

thf(c_0_36,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ ( esk1_0 @ esk2_0 @ X3 ) ) )
        = ( esk1_0 @ esk2_0 @ X3 ) )
      | ( ( esk1_0 @ X4 @ esk2_0 )
        = X4 ) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_35]),c_0_21]) ).

thf(c_0_37,negated_conjecture,
    ! [X2: g,X3: g,X4: g,X5: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
        = X3 )
      | ( ( esk1_0 @ X4 @ esk2_0 )
        = X4 )
      | ( ( esk1_0 @ X5 @ esk2_0 )
        = X5 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_23]) ).

thf(c_0_38,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
        = X3 )
      | ( ( esk1_0 @ X4 @ esk2_0 )
        = X4 ) ),
    inference(ef,[status(thm)],[c_0_37]) ).

thf(c_0_39,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ esk2_0 )
        = X2 )
      | ( ( esk1_0 @ X3 @ esk2_0 )
        = X3 )
      | ( ( esk1_0 @ X4 @ esk2_0 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_22]) ).

thf(c_0_40,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ esk2_0 )
        = X2 )
      | ( ( esk1_0 @ X3 @ esk2_0 )
        = X3 ) ),
    inference(ef,[status(thm)],[c_0_39]) ).

thf(c_0_41,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ ( esk1_0 @ esk2_0 @ X3 ) )
        = ( esk1_0 @ X2 @ X3 ) )
      | ( ( esk1_0 @ X4 @ esk2_0 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_40]) ).

thf(c_0_42,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ esk2_0 )
        = ( esk1_0 @ X2 @ esk2_0 ) )
      | ( ( esk1_0 @ X3 @ esk2_0 )
        = X3 ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_33]) ).

thf(c_0_43,negated_conjecture,
    ! [X2: g] :
      ( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ esk2_0 ) )
        = ( esk1_0 @ esk2_0 @ X2 ) )
      | ( ( esk1_0 @ X2 @ esk2_0 )
       != ( esk1_0 @ esk2_0 @ X2 ) ) ),
    inference(ef,[status(thm)],[c_0_27]) ).

thf(c_0_44,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ esk2_0 )
        = X2 )
      | ( ( esk1_0 @ X3 @ esk2_0 )
        = X3 )
      | ( ( esk1_0 @ X4 @ esk2_0 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_40,c_0_42]) ).

thf(c_0_45,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) ) )
        = ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ X3 ) ) )
      | ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) )
       != ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ X3 ) ) ) ),
    inference(spm,[status(thm)],[c_0_43,c_0_21]) ).

thf(c_0_46,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
        = esk2_0 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_47,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ esk2_0 )
        = X2 )
      | ( ( esk1_0 @ X3 @ esk2_0 )
        = X3 ) ),
    inference(ef,[status(thm)],[c_0_44]) ).

thf(c_0_48,negated_conjecture,
    ! [X3: g,X2: g] :
      ( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ esk2_0 ) ) )
        = esk2_0 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 )
      | ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ esk2_0 ) )
       != esk2_0 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_33]),c_0_33]) ).

thf(c_0_49,negated_conjecture,
    ! [X2: g] :
      ( ( esk1_0 @ X2 @ esk2_0 )
      = X2 ),
    inference(ef,[status(thm)],[c_0_47]) ).

thf(c_0_50,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) ) )
        = esk2_0 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 )
      | ( ( esk1_0 @ esk2_0 @ X4 )
        = X4 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_23]),c_0_46]) ).

thf(c_0_51,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( esk1_0 @ X2 @ ( esk1_0 @ esk2_0 @ X3 ) )
      = ( esk1_0 @ X2 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_49]) ).

thf(c_0_52,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) ) )
        = esk2_0 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 ) ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_50]),c_0_46]) ).

thf(c_0_53,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ X3 ) )
        = ( esk1_0 @ esk2_0 @ X3 ) )
      | ( ( esk1_0 @ esk2_0 @ X4 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_46]) ).

thf(c_0_54,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ ( esk14_1 @ X3 ) ) )
        = X2 )
      | ( ( esk1_0 @ esk2_0 @ X4 )
        = X4 ) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_49]) ).

thf(c_0_55,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ esk2_0 @ ( esk14_1 @ ( esk14_1 @ X2 ) ) )
        = X2 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 )
      | ( ( esk1_0 @ esk2_0 @ X4 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

thf(c_0_56,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
        = ( esk1_0 @ esk2_0 @ X3 ) )
      | ( ( esk1_0 @ X4 @ ( esk14_1 @ X4 ) )
        = esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_24]) ).

thf(c_0_57,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ esk2_0 @ ( esk14_1 @ ( esk14_1 @ X2 ) ) )
        = X2 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 ) ),
    inference(ef,[status(thm)],[c_0_55]) ).

thf(c_0_58,negated_conjecture,
    ! [X2: g,X3: g,X4: g,X5: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ X3 )
        = ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ X3 ) ) )
      | ( ( esk1_0 @ X4 @ ( esk14_1 @ X4 ) )
        = esk2_0 )
      | ( ( esk1_0 @ X5 @ ( esk14_1 @ X5 ) )
        = esk2_0 ) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_56]),c_0_51]) ).

thf(c_0_59,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk14_1 @ ( esk14_1 @ X3 ) ) )
        = ( esk1_0 @ X2 @ X3 ) )
      | ( ( esk1_0 @ esk2_0 @ X4 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_51,c_0_57]) ).

thf(c_0_60,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ X3 )
        = ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ X3 ) ) )
      | ( ( esk1_0 @ X4 @ ( esk14_1 @ X4 ) )
        = esk2_0 ) ),
    inference(ef,[status(thm)],[c_0_58]) ).

thf(c_0_61,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ esk2_0 @ X2 )
        = X2 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 )
      | ( ( esk1_0 @ esk2_0 @ X4 )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_57,c_0_59]) ).

thf(c_0_62,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
        = ( esk1_0 @ esk2_0 @ X2 ) )
      | ( ( esk1_0 @ X3 @ ( esk14_1 @ X3 ) )
        = esk2_0 ) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_60]),c_0_49]) ).

thf(c_0_63,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ esk2_0 @ X2 )
        = X2 )
      | ( ( esk1_0 @ esk2_0 @ X3 )
        = X3 ) ),
    inference(ef,[status(thm)],[c_0_61]) ).

thf(c_0_64,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ X3 ) )
        = ( esk1_0 @ esk2_0 @ X3 ) )
      | ( ( esk13_1 @ ( esk13_1 @ X4 ) )
        = ( esk1_0 @ esk2_0 @ X4 ) ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_62]) ).

thf(c_0_65,negated_conjecture,
    ! [X2: g] :
      ( ( esk1_0 @ esk2_0 @ X2 )
      = X2 ),
    inference(ef,[status(thm)],[c_0_63]) ).

thf(c_0_66,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk7_0 ) )
       != esk2_0 )
      | ( ( esk1_0 @ esk2_0 @ esk6_0 )
       != esk6_0 )
      | ( ( esk1_0 @ esk11_0 @ esk2_0 )
       != esk11_0 )
      | ( ( esk1_0 @ esk12_0 @ X4 )
       != esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_25,c_0_21]) ).

thf(c_0_67,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ X3 ) )
        = X3 )
      | ( ( esk13_1 @ ( esk13_1 @ X4 ) )
        = X4 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_65]) ).

thf(c_0_68,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
        = esk2_0 )
      | ( ( esk13_1 @ ( esk13_1 @ X3 ) )
        = X3 ) ),
    inference(rw,[status(thm)],[c_0_62,c_0_65]) ).

thf(c_0_69,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk7_0 ) )
       != esk2_0 )
      | ( ( esk1_0 @ esk2_0 @ esk6_0 )
       != esk6_0 )
      | ( ( esk1_0 @ esk12_0 @ X4 )
       != esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_49])]) ).

thf(c_0_70,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
        = X2 )
      | ( ( esk13_1 @ ( esk13_1 @ X3 ) )
        = X3 )
      | ( ( esk14_1 @ ( esk14_1 @ X4 ) )
        = X4 ) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_49]) ).

thf(c_0_71,negated_conjecture,
    ! [X2: g,X3: g,X4: g,X5: g] :
      ( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
        = ( esk1_0 @ esk2_0 @ X2 ) )
      | ( ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ esk7_0 ) )
       != esk2_0 )
      | ( ( esk1_0 @ esk2_0 @ esk6_0 )
       != esk6_0 )
      | ( ( esk1_0 @ esk2_0 @ X5 )
       != esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_64]) ).

thf(c_0_72,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk14_1 @ ( esk14_1 @ X2 ) )
        = X2 )
      | ( ( esk13_1 @ ( esk13_1 @ X3 ) )
        = X3 ) ),
    inference(ef,[status(thm)],[c_0_70]) ).

thf(c_0_73,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
        = ( esk1_0 @ esk2_0 @ X2 ) )
      | ( ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ esk7_0 ) )
       != esk2_0 )
      | ( ( esk1_0 @ esk2_0 @ esk6_0 )
       != esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_71,c_0_49]) ).

thf(c_0_74,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ ( esk14_1 @ X2 ) @ X2 )
        = esk2_0 )
      | ( ( esk13_1 @ ( esk13_1 @ X3 ) )
        = X3 )
      | ( ( esk13_1 @ ( esk13_1 @ X4 ) )
        = X4 ) ),
    inference(spm,[status(thm)],[c_0_68,c_0_72]) ).

thf(c_0_75,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
        = X2 )
      | ( ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ esk7_0 ) )
       != esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_65]),c_0_65])]) ).

thf(c_0_76,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ ( esk14_1 @ X2 ) @ X2 )
        = esk2_0 )
      | ( ( esk13_1 @ ( esk13_1 @ X3 ) )
        = X3 ) ),
    inference(ef,[status(thm)],[c_0_74]) ).

thf(c_0_77,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
        = X2 )
      | ( ( esk13_1 @ ( esk13_1 @ X3 ) )
        = X3 ) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

thf(c_0_78,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
        = esk2_0 )
      | ( ( esk1_0 @ esk11_0 @ esk2_0 )
       != esk11_0 )
      | ( ( esk1_0 @ esk12_0 @ X3 )
       != esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_46]) ).

thf(c_0_79,negated_conjecture,
    ! [X2: g] :
      ( ( esk13_1 @ ( esk13_1 @ X2 ) )
      = X2 ),
    inference(ef,[status(thm)],[c_0_77]) ).

thf(c_0_80,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
        = esk2_0 )
      | ( ( esk1_0 @ esk12_0 @ X3 )
       != esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_49])]) ).

thf(c_0_81,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ ( esk13_1 @ X2 ) )
        = esk2_0 )
      | ( ( esk1_0 @ X3 @ ( esk14_1 @ X3 ) )
        = esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_79]) ).

thf(c_0_82,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
        = esk2_0 )
      | ( ( esk1_0 @ X3 @ ( esk14_1 @ X3 ) )
        = esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

thf(c_0_83,negated_conjecture,
    ! [X2: g] :
      ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
      = esk2_0 ),
    inference(ef,[status(thm)],[c_0_82]) ).

thf(c_0_84,negated_conjecture,
    ! [X2: g,X3: g,X4: g] :
      ( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk7_0 ) )
       != esk2_0 )
      | ( ( esk1_0 @ esk12_0 @ X4 )
       != esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_65])]) ).

thf(c_0_85,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ X3 ) )
      = X3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_83]),c_0_65]) ).

thf(c_0_86,negated_conjecture,
    ! [X2: g,X3: g] :
      ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk7_0 ) )
     != esk2_0 ),
    inference(spm,[status(thm)],[c_0_84,c_0_83]) ).

thf(c_0_87,negated_conjecture,
    ! [X2: g] :
      ( ( esk14_1 @ ( esk14_1 @ X2 ) )
      = X2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_49]) ).

thf(c_0_88,negated_conjecture,
    ! [X2: g] :
      ( ( esk1_0 @ X2 @ esk7_0 )
     != esk2_0 ),
    inference(spm,[status(thm)],[c_0_86,c_0_65]) ).

thf(c_0_89,negated_conjecture,
    ! [X2: g] :
      ( ( esk1_0 @ ( esk14_1 @ X2 ) @ X2 )
      = esk2_0 ),
    inference(spm,[status(thm)],[c_0_83,c_0_87]) ).

thf(c_0_90,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_88,c_0_89]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG273^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 22:47:07 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running higher-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.25/1.50  # Version: 3.1.0-ho
% 8.25/1.50  # Preprocessing class: HSSSSMSSSLSNHSN.
% 8.25/1.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.25/1.50  # Starting ho_unfolding_3 with 1500s (5) cores
% 8.25/1.50  # Starting lpo8_lambda_fix with 300s (1) cores
% 8.25/1.50  # Starting lpo8_s with 300s (1) cores
% 8.25/1.50  # Starting new_bool_11 with 300s (1) cores
% 8.25/1.50  # ho_unfolding_3 with pid 19242 completed with status 0
% 8.25/1.50  # Result found by ho_unfolding_3
% 8.25/1.50  # Preprocessing class: HSSSSMSSSLSNHSN.
% 8.25/1.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.25/1.50  # Starting ho_unfolding_3 with 1500s (5) cores
% 8.25/1.50  # No SInE strategy applied
% 8.25/1.50  # Search class: HGHPF-FFSF11-SHSFMFNN
% 8.25/1.50  # partial match(1): HGHPF-FFMF11-SHSFMFNN
% 8.25/1.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.25/1.50  # Starting new_ho_10 with 811s (1) cores
% 8.25/1.50  # Starting ho_unfolding_3 with 151s (1) cores
% 8.25/1.50  # Starting new_bool_1 with 136s (1) cores
% 8.25/1.50  # Starting lpo1_def_fix with 136s (1) cores
% 8.25/1.50  # Starting ehoh_best8_lambda with 136s (1) cores
% 8.25/1.50  # new_bool_1 with pid 19250 completed with status 0
% 8.25/1.50  # Result found by new_bool_1
% 8.25/1.50  # Preprocessing class: HSSSSMSSSLSNHSN.
% 8.25/1.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.25/1.50  # Starting ho_unfolding_3 with 1500s (5) cores
% 8.25/1.50  # No SInE strategy applied
% 8.25/1.50  # Search class: HGHPF-FFSF11-SHSFMFNN
% 8.25/1.50  # partial match(1): HGHPF-FFMF11-SHSFMFNN
% 8.25/1.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.25/1.50  # Starting new_ho_10 with 811s (1) cores
% 8.25/1.50  # Starting ho_unfolding_3 with 151s (1) cores
% 8.25/1.50  # Starting new_bool_1 with 136s (1) cores
% 8.25/1.50  # Preprocessing time       : 0.001 s
% 8.25/1.50  # Presaturation interreduction done
% 8.25/1.50  
% 8.25/1.50  # Proof found!
% 8.25/1.50  # SZS status Theorem
% 8.25/1.50  # SZS output start CNFRefutation
% See solution above
% 8.25/1.50  # Parsed axioms                        : 16
% 8.25/1.50  # Removed by relevancy pruning/SinE    : 0
% 8.25/1.50  # Initial clauses                      : 18
% 8.25/1.50  # Removed in clause preprocessing      : 8
% 8.25/1.50  # Initial clauses in saturation        : 10
% 8.25/1.50  # Processed clauses                    : 3777
% 8.25/1.50  # ...of these trivial                  : 172
% 8.25/1.50  # ...subsumed                          : 3024
% 8.25/1.50  # ...remaining for further processing  : 581
% 8.25/1.50  # Other redundant clauses eliminated   : 569
% 8.25/1.50  # Clauses deleted for lack of memory   : 0
% 8.25/1.50  # Backward-subsumed                    : 163
% 8.25/1.50  # Backward-rewritten                   : 375
% 8.25/1.50  # Generated clauses                    : 47937
% 8.25/1.50  # ...of the previous two non-redundant : 40072
% 8.25/1.50  # ...aggressively subsumed             : 0
% 8.25/1.50  # Contextual simplify-reflections      : 28
% 8.25/1.50  # Paramodulations                      : 47114
% 8.25/1.50  # Factorizations                       : 220
% 8.25/1.50  # NegExts                              : 0
% 8.25/1.50  # Equation resolutions                 : 575
% 8.25/1.50  # Disequality decompositions           : 0
% 8.25/1.50  # Total rewrite steps                  : 39594
% 8.25/1.50  # ...of those cached                   : 38561
% 8.25/1.50  # Propositional unsat checks           : 0
% 8.25/1.50  #    Propositional check models        : 0
% 8.25/1.50  #    Propositional check unsatisfiable : 0
% 8.25/1.50  #    Propositional clauses             : 0
% 8.25/1.50  #    Propositional clauses after purity: 0
% 8.25/1.50  #    Propositional unsat core size     : 0
% 8.25/1.50  #    Propositional preprocessing time  : 0.000
% 8.25/1.50  #    Propositional encoding time       : 0.000
% 8.25/1.50  #    Propositional solver time         : 0.000
% 8.25/1.50  #    Success case prop preproc time    : 0.000
% 8.25/1.50  #    Success case prop encoding time   : 0.000
% 8.25/1.50  #    Success case prop solver time     : 0.000
% 8.25/1.50  # Current number of processed clauses  : 33
% 8.25/1.50  #    Positive orientable unit clauses  : 10
% 8.25/1.50  #    Positive unorientable unit clauses: 0
% 8.25/1.50  #    Negative unit clauses             : 5
% 8.25/1.50  #    Non-unit-clauses                  : 18
% 8.25/1.50  # Current number of unprocessed clauses: 4773
% 8.25/1.50  # ...number of literals in the above   : 15219
% 8.25/1.50  # Current number of archived formulas  : 0
% 8.25/1.50  # Current number of archived clauses   : 548
% 8.25/1.50  # Clause-clause subsumption calls (NU) : 54062
% 8.25/1.50  # Rec. Clause-clause subsumption calls : 27395
% 8.25/1.50  # Non-unit clause-clause subsumptions  : 3118
% 8.25/1.50  # Unit Clause-clause subsumption calls : 458
% 8.25/1.50  # Rewrite failures with RHS unbound    : 0
% 8.25/1.50  # BW rewrite match attempts            : 87
% 8.25/1.50  # BW rewrite match successes           : 78
% 8.25/1.50  # Condensation attempts                : 0
% 8.25/1.50  # Condensation successes               : 0
% 8.25/1.50  # Termbank termtop insertions          : 4147679
% 8.25/1.50  # Search garbage collected termcells   : 414
% 8.25/1.50  
% 8.25/1.50  # -------------------------------------------------
% 8.25/1.50  # User time                : 0.973 s
% 8.25/1.50  # System time              : 0.019 s
% 8.25/1.50  # Total time               : 0.992 s
% 8.25/1.50  # Maximum resident set size: 1868 pages
% 8.25/1.50  
% 8.25/1.50  # -------------------------------------------------
% 8.25/1.50  # User time                : 4.863 s
% 8.25/1.50  # System time              : 0.098 s
% 8.25/1.50  # Total time               : 4.961 s
% 8.25/1.50  # Maximum resident set size: 1732 pages
% 8.25/1.50  % E---3.1 exiting
% 8.25/1.50  % E exiting
%------------------------------------------------------------------------------