TSTP Solution File: SWC077+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC077+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:39:12 EDT 2023

% Result   : Theorem 0.94s 0.60s
% Output   : CNFRefutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  133 (  30 unt;   0 def)
%            Number of atoms       :  497 ( 121 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  620 ( 256   ~; 250   |;  50   &)
%                                         (   6 <=>;  58  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-2 aty)
%            Number of variables   :  184 (   0 sgn; 102   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ frontsegP(X4,X3)
                    | ~ strictorderedP(X3)
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X5,nil)
                        & segmentP(X2,X5)
                        & segmentP(X1,X5) )
                    | ? [X6] :
                        ( ssList(X6)
                        & neq(X3,X6)
                        & frontsegP(X4,X6)
                        & segmentP(X6,X3)
                        & strictorderedP(X6) )
                    | ( nil = X2
                      & nil = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',co1) ).

fof(ax50,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( rearsegP(X1,X2)
               => rearsegP(app(X3,X1),X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax50) ).

fof(ax51,axiom,
    ! [X1] :
      ( ssList(X1)
     => rearsegP(X1,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax51) ).

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax5) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax17) ).

fof(ax6,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( rearsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax6) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax84) ).

fof(ax78,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax78) ).

fof(ax85,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => hd(app(X1,X2)) = hd(X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax85) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax26) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax83) ).

fof(ax19,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => ! [X4] :
                  ( ssItem(X4)
                 => ( cons(X3,X1) = cons(X4,X2)
                   => ( X3 = X4
                      & X2 = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax19) ).

fof(ax20,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil = X1
        | ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssItem(X3)
                & cons(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax20) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax16) ).

fof(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax21) ).

fof(ax24,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax24) ).

fof(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax7) ).

fof(ax22,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax22) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax28) ).

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax55) ).

fof(ax23,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => hd(cons(X2,X1)) = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax23) ).

fof(ax44,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( frontsegP(cons(X1,X3),cons(X2,X4))
                  <=> ( X1 = X2
                      & frontsegP(X3,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax44) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax15) ).

fof(ax45,axiom,
    ! [X1] :
      ( ssList(X1)
     => frontsegP(X1,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax45) ).

fof(ax57,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax57) ).

fof(ax68,axiom,
    ! [X1] :
      ( ssItem(X1)
     => strictorderedP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax68) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p',ax18) ).

fof(c_0_27,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ frontsegP(X4,X3)
                      | ~ strictorderedP(X3)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X5,nil)
                          & segmentP(X2,X5)
                          & segmentP(X1,X5) )
                      | ? [X6] :
                          ( ssList(X6)
                          & neq(X3,X6)
                          & frontsegP(X4,X6)
                          & segmentP(X6,X3)
                          & strictorderedP(X6) )
                      | ( nil = X2
                        & nil = X1 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_28,negated_conjecture,
    ! [X11,X12] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & frontsegP(esk4_0,esk3_0)
      & strictorderedP(esk3_0)
      & ( ~ ssList(X11)
        | ~ neq(X11,nil)
        | ~ segmentP(esk2_0,X11)
        | ~ segmentP(esk1_0,X11) )
      & ( ~ ssList(X12)
        | ~ neq(esk3_0,X12)
        | ~ frontsegP(esk4_0,X12)
        | ~ segmentP(X12,esk3_0)
        | ~ strictorderedP(X12) )
      & ( nil != esk2_0
        | nil != esk1_0 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).

fof(c_0_29,plain,
    ! [X118,X119,X120] :
      ( ~ ssList(X118)
      | ~ ssList(X119)
      | ~ ssList(X120)
      | ~ rearsegP(X118,X119)
      | rearsegP(app(X120,X118),X119) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).

fof(c_0_30,plain,
    ! [X202] :
      ( ~ ssList(X202)
      | rearsegP(X202,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).

fof(c_0_31,plain,
    ! [X58,X59,X61] :
      ( ( ssList(esk14_2(X58,X59))
        | ~ frontsegP(X58,X59)
        | ~ ssList(X59)
        | ~ ssList(X58) )
      & ( app(X59,esk14_2(X58,X59)) = X58
        | ~ frontsegP(X58,X59)
        | ~ ssList(X59)
        | ~ ssList(X58) )
      & ( ~ ssList(X61)
        | app(X59,X61) != X58
        | frontsegP(X58,X59)
        | ~ ssList(X59)
        | ~ ssList(X58) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).

cnf(c_0_32,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,plain,
    ( rearsegP(app(X3,X1),X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ rearsegP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_39,plain,
    ( app(X1,esk14_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,negated_conjecture,
    frontsegP(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_41,negated_conjecture,
    ssList(esk4_0),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_43,plain,
    ( ssList(esk14_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_44,plain,
    ! [X114,X115,X117] :
      ( ( ssList(esk17_2(X114,X115))
        | ~ rearsegP(X114,X115)
        | ~ ssList(X115)
        | ~ ssList(X114) )
      & ( app(esk17_2(X114,X115),X115) = X114
        | ~ rearsegP(X114,X115)
        | ~ ssList(X115)
        | ~ ssList(X114) )
      & ( ~ ssList(X117)
        | app(X117,X115) != X114
        | rearsegP(X114,X115)
        | ~ ssList(X115)
        | ~ ssList(X114) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).

cnf(c_0_45,plain,
    ( rearsegP(app(X1,X2),nil)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).

cnf(c_0_46,negated_conjecture,
    app(esk3_0,esk14_2(esk4_0,esk3_0)) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).

cnf(c_0_47,negated_conjecture,
    ssList(esk14_2(esk4_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_42]),c_0_41])]) ).

fof(c_0_48,plain,
    ! [X25] :
      ( ~ ssList(X25)
      | app(X25,nil) = X25 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

cnf(c_0_49,plain,
    ( app(esk17_2(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    rearsegP(esk4_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42]),c_0_47])]) ).

cnf(c_0_51,plain,
    ( ssList(esk17_2(X1,X2))
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_52,plain,
    ! [X105] :
      ( ~ ssList(X105)
      | nil = X105
      | cons(hd(X105),tl(X105)) = X105 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).

fof(c_0_53,plain,
    ! [X121,X122] :
      ( ~ ssList(X121)
      | ~ ssList(X122)
      | nil = X121
      | hd(app(X121,X122)) = hd(X121) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).

fof(c_0_54,plain,
    ! [X87,X88] :
      ( ~ ssList(X87)
      | ~ ssList(X88)
      | ssList(app(X87,X88)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_55,plain,
    ! [X23,X24] :
      ( ( nil = X24
        | nil != app(X23,X24)
        | ~ ssList(X24)
        | ~ ssList(X23) )
      & ( nil = X23
        | nil != app(X23,X24)
        | ~ ssList(X24)
        | ~ ssList(X23) )
      & ( nil != X24
        | nil != X23
        | nil = app(X23,X24)
        | ~ ssList(X24)
        | ~ ssList(X23) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

cnf(c_0_56,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,negated_conjecture,
    app(esk17_2(esk4_0,nil),nil) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_38]),c_0_41])]) ).

cnf(c_0_58,negated_conjecture,
    ssList(esk17_2(esk4_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_38]),c_0_41])]) ).

cnf(c_0_59,negated_conjecture,
    ( nil != esk2_0
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_60,plain,
    ! [X83,X84,X85,X86] :
      ( ( X85 = X86
        | cons(X85,X83) != cons(X86,X84)
        | ~ ssItem(X86)
        | ~ ssItem(X85)
        | ~ ssList(X84)
        | ~ ssList(X83) )
      & ( X84 = X83
        | cons(X85,X83) != cons(X86,X84)
        | ~ ssItem(X86)
        | ~ ssItem(X85)
        | ~ ssList(X84)
        | ~ ssList(X83) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).

fof(c_0_61,plain,
    ! [X13] :
      ( ( ssList(esk5_1(X13))
        | nil = X13
        | ~ ssList(X13) )
      & ( ssItem(esk6_1(X13))
        | nil = X13
        | ~ ssList(X13) )
      & ( cons(esk6_1(X13),esk5_1(X13)) = X13
        | nil = X13
        | ~ ssList(X13) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).

fof(c_0_62,plain,
    ! [X79,X80] :
      ( ~ ssList(X79)
      | ~ ssItem(X80)
      | ssList(cons(X80,X79)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

fof(c_0_63,plain,
    ! [X16,X17] :
      ( ~ ssList(X16)
      | ~ ssItem(X17)
      | nil != cons(X17,X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).

cnf(c_0_64,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_65,plain,
    ( nil = X1
    | hd(app(X1,X2)) = hd(X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_66,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_67,plain,
    ( nil = X1
    | nil != app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    esk17_2(esk4_0,nil) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_69,negated_conjecture,
    ( esk3_0 != nil
    | esk4_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_35]),c_0_33]) ).

cnf(c_0_70,plain,
    ( X1 = X2
    | cons(X3,X2) != cons(X4,X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_71,plain,
    ( cons(esk6_1(X1),esk5_1(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_72,plain,
    ( ssItem(esk6_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_73,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_74,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | nil != cons(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_75,plain,
    ( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
    | nil = X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    app(esk4_0,nil) = esk4_0,
    inference(rw,[status(thm)],[c_0_57,c_0_68]) ).

cnf(c_0_77,negated_conjecture,
    esk4_0 != nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_46]),c_0_47]),c_0_42])]),c_0_69]) ).

cnf(c_0_78,plain,
    ( esk5_1(cons(X1,X2)) = X2
    | ~ ssList(esk5_1(cons(X1,X2)))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71])]),c_0_72]),c_0_73]),c_0_74]) ).

cnf(c_0_79,negated_conjecture,
    cons(hd(esk4_0),tl(esk4_0)) = esk4_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_38]),c_0_41])]),c_0_77]) ).

cnf(c_0_80,negated_conjecture,
    ( esk5_1(esk4_0) = tl(esk4_0)
    | ~ ssList(esk5_1(esk4_0))
    | ~ ssList(tl(esk4_0))
    | ~ ssItem(hd(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_81,plain,
    ( ssList(esk5_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

fof(c_0_82,plain,
    ! [X158] :
      ( ~ ssList(X158)
      | nil = X158
      | ssList(tl(X158)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

fof(c_0_83,plain,
    ! [X40,X41,X44,X45] :
      ( ( ssList(esk12_2(X40,X41))
        | ~ segmentP(X40,X41)
        | ~ ssList(X41)
        | ~ ssList(X40) )
      & ( ssList(esk13_2(X40,X41))
        | ~ segmentP(X40,X41)
        | ~ ssList(X41)
        | ~ ssList(X40) )
      & ( app(app(esk12_2(X40,X41),X41),esk13_2(X40,X41)) = X40
        | ~ segmentP(X40,X41)
        | ~ ssList(X41)
        | ~ ssList(X40) )
      & ( ~ ssList(X44)
        | ~ ssList(X45)
        | app(app(X44,X41),X45) != X40
        | segmentP(X40,X41)
        | ~ ssList(X41)
        | ~ ssList(X40) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).

cnf(c_0_84,negated_conjecture,
    ( esk5_1(esk4_0) = tl(esk4_0)
    | ~ ssList(tl(esk4_0))
    | ~ ssItem(hd(esk4_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_41])]),c_0_77]) ).

cnf(c_0_85,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

fof(c_0_86,plain,
    ! [X151] :
      ( ~ ssList(X151)
      | nil = X151
      | ssItem(hd(X151)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_87,plain,
    ( segmentP(X4,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X1,X3),X2) != X4
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

fof(c_0_88,plain,
    ! [X18] :
      ( ~ ssList(X18)
      | app(nil,X18) = X18 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

cnf(c_0_89,negated_conjecture,
    ( esk5_1(esk4_0) = tl(esk4_0)
    | ~ ssItem(hd(esk4_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_41])]),c_0_77]) ).

cnf(c_0_90,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_92,plain,
    ! [X51] :
      ( ~ ssList(X51)
      | segmentP(X51,X51) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

cnf(c_0_93,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_87]) ).

cnf(c_0_94,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

fof(c_0_95,plain,
    ! [X101,X102] :
      ( ~ ssList(X101)
      | ~ ssItem(X102)
      | hd(cons(X102,X101)) = X102 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).

cnf(c_0_96,negated_conjecture,
    esk5_1(esk4_0) = tl(esk4_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_41])]),c_0_77]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ segmentP(esk3_0,X1)
    | ~ segmentP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_35]),c_0_33]) ).

cnf(c_0_98,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_99,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_38])]),c_0_66]) ).

fof(c_0_100,plain,
    ! [X71,X72,X73,X74] :
      ( ( X71 = X72
        | ~ frontsegP(cons(X71,X73),cons(X72,X74))
        | ~ ssList(X74)
        | ~ ssList(X73)
        | ~ ssItem(X72)
        | ~ ssItem(X71) )
      & ( frontsegP(X73,X74)
        | ~ frontsegP(cons(X71,X73),cons(X72,X74))
        | ~ ssList(X74)
        | ~ ssList(X73)
        | ~ ssItem(X72)
        | ~ ssItem(X71) )
      & ( X71 != X72
        | ~ frontsegP(X73,X74)
        | frontsegP(cons(X71,X73),cons(X72,X74))
        | ~ ssList(X74)
        | ~ ssList(X73)
        | ~ ssItem(X72)
        | ~ ssItem(X71) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])])]) ).

cnf(c_0_101,plain,
    ( hd(cons(X2,X1)) = X2
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_102,negated_conjecture,
    cons(esk6_1(esk4_0),tl(esk4_0)) = esk4_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_96]),c_0_41])]),c_0_77]) ).

cnf(c_0_103,negated_conjecture,
    ssList(tl(esk4_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_96]),c_0_41])]),c_0_77]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ segmentP(esk4_0,esk3_0)
    | ~ neq(esk3_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_42])]) ).

cnf(c_0_105,negated_conjecture,
    segmentP(esk4_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_46]),c_0_42]),c_0_47])]) ).

fof(c_0_106,plain,
    ! [X77,X78] :
      ( ( ~ neq(X77,X78)
        | X77 != X78
        | ~ ssList(X78)
        | ~ ssList(X77) )
      & ( X77 = X78
        | neq(X77,X78)
        | ~ ssList(X78)
        | ~ ssList(X77) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_107,plain,
    ( frontsegP(cons(X1,X3),cons(X2,X4))
    | X1 != X2
    | ~ frontsegP(X3,X4)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

fof(c_0_108,plain,
    ! [X19] :
      ( ~ ssList(X19)
      | frontsegP(X19,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).

cnf(c_0_109,negated_conjecture,
    ( esk6_1(esk4_0) = hd(esk4_0)
    | ~ ssItem(esk6_1(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).

cnf(c_0_110,negated_conjecture,
    ~ neq(esk3_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).

cnf(c_0_111,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

fof(c_0_112,plain,
    ! [X56] :
      ( ~ ssList(X56)
      | segmentP(X56,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

cnf(c_0_113,plain,
    ( frontsegP(cons(X1,X2),cons(X1,X3))
    | ~ frontsegP(X2,X3)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_107]) ).

cnf(c_0_114,plain,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    esk6_1(esk4_0) = hd(esk4_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_72]),c_0_41])]),c_0_77]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(esk3_0,X1)
    | ~ frontsegP(esk4_0,X1)
    | ~ segmentP(X1,esk3_0)
    | ~ strictorderedP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_117,negated_conjecture,
    esk3_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_38]),c_0_42])]) ).

cnf(c_0_118,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_119,plain,
    ( frontsegP(cons(X1,X2),cons(X1,nil))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_38])]) ).

cnf(c_0_120,negated_conjecture,
    ssItem(hd(esk4_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_115]),c_0_41])]),c_0_77]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ strictorderedP(X1)
    | ~ frontsegP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(nil,X1) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_117]),c_0_118]) ).

cnf(c_0_122,negated_conjecture,
    frontsegP(esk4_0,cons(hd(esk4_0),nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_79]),c_0_103]),c_0_120])]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ strictorderedP(cons(hd(esk4_0),nil))
    | ~ ssList(cons(hd(esk4_0),nil))
    | ~ neq(nil,cons(hd(esk4_0),nil)) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

fof(c_0_124,plain,
    ! [X37] :
      ( ~ ssItem(X37)
      | strictorderedP(cons(X37,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ strictorderedP(cons(hd(esk4_0),nil))
    | ~ neq(nil,cons(hd(esk4_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_73]),c_0_38]),c_0_120])]) ).

cnf(c_0_126,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_127,negated_conjecture,
    ~ neq(nil,cons(hd(esk4_0),nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_120])]) ).

fof(c_0_128,plain,
    ! [X81,X82] :
      ( ~ ssList(X81)
      | ~ ssItem(X82)
      | cons(X82,X81) != X81 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

cnf(c_0_129,negated_conjecture,
    ( cons(hd(esk4_0),nil) = nil
    | ~ ssList(cons(hd(esk4_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_111]),c_0_38])]) ).

cnf(c_0_130,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_131,negated_conjecture,
    cons(hd(esk4_0),nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_73]),c_0_38]),c_0_120])]) ).

cnf(c_0_132,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_38]),c_0_120])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : SWC077+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 01:55:49 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Vg746NBJeh/E---3.1_3858.p
% 0.94/0.60  # Version: 3.1pre001
% 0.94/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.94/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.94/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.94/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.94/0.60  # Starting new_bool_1 with 300s (1) cores
% 0.94/0.60  # Starting sh5l with 300s (1) cores
% 0.94/0.60  # sh5l with pid 3939 completed with status 0
% 0.94/0.60  # Result found by sh5l
% 0.94/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.94/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.94/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.94/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.94/0.60  # Starting new_bool_1 with 300s (1) cores
% 0.94/0.60  # Starting sh5l with 300s (1) cores
% 0.94/0.60  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.94/0.60  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.94/0.60  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.94/0.60  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 0.94/0.60  # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 3942 completed with status 0
% 0.94/0.60  # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 0.94/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.94/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.94/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.94/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.94/0.60  # Starting new_bool_1 with 300s (1) cores
% 0.94/0.60  # Starting sh5l with 300s (1) cores
% 0.94/0.60  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.94/0.60  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.94/0.60  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.94/0.60  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 0.94/0.60  # Preprocessing time       : 0.003 s
% 0.94/0.60  # Presaturation interreduction done
% 0.94/0.60  
% 0.94/0.60  # Proof found!
% 0.94/0.60  # SZS status Theorem
% 0.94/0.60  # SZS output start CNFRefutation
% See solution above
% 0.94/0.60  # Parsed axioms                        : 96
% 0.94/0.60  # Removed by relevancy pruning/SinE    : 12
% 0.94/0.60  # Initial clauses                      : 167
% 0.94/0.60  # Removed in clause preprocessing      : 2
% 0.94/0.60  # Initial clauses in saturation        : 165
% 0.94/0.60  # Processed clauses                    : 1369
% 0.94/0.60  # ...of these trivial                  : 28
% 0.94/0.60  # ...subsumed                          : 447
% 0.94/0.60  # ...remaining for further processing  : 894
% 0.94/0.60  # Other redundant clauses eliminated   : 65
% 0.94/0.60  # Clauses deleted for lack of memory   : 0
% 0.94/0.60  # Backward-subsumed                    : 49
% 0.94/0.60  # Backward-rewritten                   : 115
% 0.94/0.60  # Generated clauses                    : 4276
% 0.94/0.60  # ...of the previous two non-redundant : 3494
% 0.94/0.60  # ...aggressively subsumed             : 0
% 0.94/0.60  # Contextual simplify-reflections      : 149
% 0.94/0.60  # Paramodulations                      : 4206
% 0.94/0.60  # Factorizations                       : 0
% 0.94/0.60  # NegExts                              : 0
% 0.94/0.60  # Equation resolutions                 : 71
% 0.94/0.60  # Total rewrite steps                  : 4620
% 0.94/0.60  # Propositional unsat checks           : 0
% 0.94/0.60  #    Propositional check models        : 0
% 0.94/0.60  #    Propositional check unsatisfiable : 0
% 0.94/0.60  #    Propositional clauses             : 0
% 0.94/0.60  #    Propositional clauses after purity: 0
% 0.94/0.60  #    Propositional unsat core size     : 0
% 0.94/0.60  #    Propositional preprocessing time  : 0.000
% 0.94/0.60  #    Propositional encoding time       : 0.000
% 0.94/0.60  #    Propositional solver time         : 0.000
% 0.94/0.60  #    Success case prop preproc time    : 0.000
% 0.94/0.60  #    Success case prop encoding time   : 0.000
% 0.94/0.60  #    Success case prop solver time     : 0.000
% 0.94/0.60  # Current number of processed clauses  : 553
% 0.94/0.60  #    Positive orientable unit clauses  : 160
% 0.94/0.60  #    Positive unorientable unit clauses: 0
% 0.94/0.60  #    Negative unit clauses             : 13
% 0.94/0.60  #    Non-unit-clauses                  : 380
% 0.94/0.60  # Current number of unprocessed clauses: 2308
% 0.94/0.60  # ...number of literals in the above   : 11918
% 0.94/0.60  # Current number of archived formulas  : 0
% 0.94/0.60  # Current number of archived clauses   : 323
% 0.94/0.60  # Clause-clause subsumption calls (NU) : 55121
% 0.94/0.60  # Rec. Clause-clause subsumption calls : 18915
% 0.94/0.60  # Non-unit clause-clause subsumptions  : 561
% 0.94/0.60  # Unit Clause-clause subsumption calls : 4183
% 0.94/0.60  # Rewrite failures with RHS unbound    : 0
% 0.94/0.60  # BW rewrite match attempts            : 82
% 0.94/0.60  # BW rewrite match successes           : 50
% 0.94/0.60  # Condensation attempts                : 0
% 0.94/0.60  # Condensation successes               : 0
% 0.94/0.60  # Termbank termtop insertions          : 92339
% 0.94/0.60  
% 0.94/0.60  # -------------------------------------------------
% 0.94/0.60  # User time                : 0.136 s
% 0.94/0.60  # System time              : 0.009 s
% 0.94/0.60  # Total time               : 0.145 s
% 0.94/0.60  # Maximum resident set size: 2396 pages
% 0.94/0.60  
% 0.94/0.60  # -------------------------------------------------
% 0.94/0.60  # User time                : 0.138 s
% 0.94/0.60  # System time              : 0.012 s
% 0.94/0.60  # Total time               : 0.150 s
% 0.94/0.60  # Maximum resident set size: 1800 pages
% 0.94/0.60  % E---3.1 exiting
% 0.94/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------