TSTP Solution File: SWC055+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC055+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:41:15 EDT 2023

% Result   : Theorem 76.31s 10.25s
% Output   : CNFRefutation 76.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  140 (  27 unt;   0 def)
%            Number of atoms       :  529 ( 172 equ)
%            Maximal formula atoms :   42 (   3 avg)
%            Number of connectives :  674 ( 285   ~; 286   |;  48   &)
%                                         (   4 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :  200 (   0 sgn;  90   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax79,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X3,X2) = app(X1,X2)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax79) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax82) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax26) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax28) ).

fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ( ! [X5] :
                          ( ssItem(X5)
                         => ( cons(X5,nil) != X3
                            | ~ memberP(X4,X5)
                            | ? [X6] :
                                ( ssItem(X6)
                                & X5 != X6
                                & memberP(X4,X6)
                                & leq(X5,X6) ) ) )
                      & ( nil != X4
                        | nil != X3 ) )
                    | ( ( nil != X2
                        | nil = X1 )
                      & ( ~ neq(X2,nil)
                        | ? [X7] :
                            ( ssList(X7)
                            & neq(X7,nil)
                            & segmentP(X2,X7)
                            & segmentP(X1,X7) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',co1) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax18) ).

fof(ax27,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax27) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax17) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax84) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax16) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax83) ).

fof(ax80,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X2,X3) = app(X2,X1)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax80) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax81) ).

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.TRJ35FWeMm/E---3.1_29601.p',ax7) ).

fof(ax56,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( segmentP(X1,X2)
                   => segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax56) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax15) ).

fof(ax3,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( memberP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax3) ).

fof(ax54,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( segmentP(X1,X2)
              & segmentP(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax54) ).

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p',ax55) ).

fof(c_0_19,plain,
    ! [X86,X87,X88] :
      ( ~ ssList(X86)
      | ~ ssList(X87)
      | ~ ssList(X88)
      | app(X88,X87) != app(X86,X87)
      | X88 = X86 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).

fof(c_0_20,plain,
    ! [X92,X93,X94] :
      ( ~ ssList(X92)
      | ~ ssList(X93)
      | ~ ssList(X94)
      | app(app(X92,X93),X94) = app(X92,app(X93,X94)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

fof(c_0_21,plain,
    ! [X83,X84] :
      ( ~ ssList(X83)
      | ~ ssList(X84)
      | ssList(app(X83,X84)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_22,plain,
    ! [X85] :
      ( ~ ssList(X85)
      | app(nil,X85) = X85 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_23,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ( ! [X5] :
                            ( ssItem(X5)
                           => ( cons(X5,nil) != X3
                              | ~ memberP(X4,X5)
                              | ? [X6] :
                                  ( ssItem(X6)
                                  & X5 != X6
                                  & memberP(X4,X6)
                                  & leq(X5,X6) ) ) )
                        & ( nil != X4
                          | nil != X3 ) )
                      | ( ( nil != X2
                          | nil = X1 )
                        & ( ~ neq(X2,nil)
                          | ? [X7] :
                              ( ssList(X7)
                              & neq(X7,nil)
                              & segmentP(X2,X7)
                              & segmentP(X1,X7) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_24,plain,
    ! [X72,X73] :
      ( ~ ssList(X72)
      | ~ ssItem(X73)
      | cons(X73,X72) != X72 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

fof(c_0_25,plain,
    ! [X78,X79,X80] :
      ( ~ ssList(X78)
      | ~ ssList(X79)
      | ~ ssItem(X80)
      | cons(X80,app(X79,X78)) = app(cons(X80,X79),X78) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).

cnf(c_0_26,plain,
    ( X3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(X3,X2) != app(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

fof(c_0_31,negated_conjecture,
    ! [X13,X14] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( nil = esk4_0
        | ssItem(esk5_0) )
      & ( nil = esk3_0
        | ssItem(esk5_0) )
      & ( nil = esk4_0
        | cons(esk5_0,nil) = esk3_0 )
      & ( nil = esk3_0
        | cons(esk5_0,nil) = esk3_0 )
      & ( nil = esk4_0
        | memberP(esk4_0,esk5_0) )
      & ( nil = esk3_0
        | memberP(esk4_0,esk5_0) )
      & ( nil = esk4_0
        | ~ ssItem(X13)
        | esk5_0 = X13
        | ~ memberP(esk4_0,X13)
        | ~ leq(esk5_0,X13) )
      & ( nil = esk3_0
        | ~ ssItem(X13)
        | esk5_0 = X13
        | ~ memberP(esk4_0,X13)
        | ~ leq(esk5_0,X13) )
      & ( neq(esk2_0,nil)
        | nil = esk2_0 )
      & ( ~ ssList(X14)
        | ~ neq(X14,nil)
        | ~ segmentP(esk2_0,X14)
        | ~ segmentP(esk1_0,X14)
        | nil = esk2_0 )
      & ( neq(esk2_0,nil)
        | nil != esk1_0 )
      & ( ~ ssList(X14)
        | ~ neq(X14,nil)
        | ~ segmentP(esk2_0,X14)
        | ~ segmentP(esk1_0,X14)
        | nil != esk1_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).

cnf(c_0_32,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,plain,
    ( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_34,plain,
    ! [X97] :
      ( ~ ssList(X97)
      | app(X97,nil) = X97 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(c_0_35,plain,
    ! [X70,X71] :
      ( ~ ssList(X70)
      | ~ ssItem(X71)
      | ssList(cons(X71,X70)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

fof(c_0_36,plain,
    ! [X95,X96] :
      ( ( nil = X96
        | nil != app(X95,X96)
        | ~ ssList(X96)
        | ~ ssList(X95) )
      & ( nil = X95
        | nil != app(X95,X96)
        | ~ ssList(X96)
        | ~ ssList(X95) )
      & ( nil != X96
        | nil != X95
        | nil = app(X95,X96)
        | ~ ssList(X96)
        | ~ ssList(X95) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

cnf(c_0_37,plain,
    ( X1 = app(X2,X3)
    | app(X1,X4) != app(X2,app(X3,X4))
    | ~ ssList(X4)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_38,plain,
    ( app(nil,app(X1,X2)) = app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_29]),c_0_30])]) ).

cnf(c_0_39,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,plain,
    ( app(cons(X1,X2),X3) != app(X2,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_28]) ).

cnf(c_0_42,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_44,plain,
    ! [X89,X90,X91] :
      ( ~ ssList(X89)
      | ~ ssList(X90)
      | ~ ssList(X91)
      | app(X90,X91) != app(X90,X89)
      | X91 = X89 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).

cnf(c_0_45,plain,
    ( nil = app(X2,X1)
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,plain,
    ( X1 = app(nil,X2)
    | app(X1,X3) != app(X2,X3)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_30])]) ).

cnf(c_0_47,negated_conjecture,
    ssList(esk4_0),
    inference(rw,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_48,plain,
    ( cons(X1,X2) != app(X2,nil)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_30])]),c_0_43]) ).

fof(c_0_49,plain,
    ! [X81,X82] :
      ( ~ ssList(X81)
      | ~ ssItem(X82)
      | cons(X82,X81) = app(cons(X82,nil),X81) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

fof(c_0_50,plain,
    ! [X15,X16,X19,X20] :
      ( ( ssList(esk6_2(X15,X16))
        | ~ segmentP(X15,X16)
        | ~ ssList(X16)
        | ~ ssList(X15) )
      & ( ssList(esk7_2(X15,X16))
        | ~ segmentP(X15,X16)
        | ~ ssList(X16)
        | ~ ssList(X15) )
      & ( app(app(esk6_2(X15,X16),X16),esk7_2(X15,X16)) = X15
        | ~ segmentP(X15,X16)
        | ~ ssList(X16)
        | ~ ssList(X15) )
      & ( ~ ssList(X19)
        | ~ ssList(X20)
        | app(app(X19,X16),X20) != X15
        | segmentP(X15,X16)
        | ~ ssList(X16)
        | ~ ssList(X15) ) ),
    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_51,plain,
    ( X3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(X2,X3) != app(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]),c_0_30])]) ).

cnf(c_0_53,plain,
    ( ssList(app(X1,app(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_27]),c_0_28]) ).

cnf(c_0_54,negated_conjecture,
    ( X1 = app(nil,X2)
    | app(X1,esk4_0) != app(X2,esk4_0)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_55,plain,
    ( app(cons(X1,X2),X3) != app(app(X2,X3),nil)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_28]) ).

cnf(c_0_56,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_57,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_50]) ).

fof(c_0_58,plain,
    ! [X27,X28,X29,X30] :
      ( ~ ssList(X27)
      | ~ ssList(X28)
      | ~ ssList(X29)
      | ~ ssList(X30)
      | ~ segmentP(X27,X28)
      | segmentP(app(app(X29,X27),X30),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).

cnf(c_0_59,plain,
    ( X1 = nil
    | app(nil,X1) != nil
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_30])]) ).

cnf(c_0_60,plain,
    ( app(X1,app(X2,nil)) = app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_27]),c_0_30])]),c_0_28]) ).

cnf(c_0_61,plain,
    ( ssList(app(X1,nil))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_30])]) ).

cnf(c_0_62,negated_conjecture,
    ( app(nil,X1) = esk4_0
    | app(esk4_0,esk4_0) != app(X1,esk4_0)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_47]) ).

cnf(c_0_63,plain,
    ( cons(X1,X2) != app(app(nil,X2),nil)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_30])]) ).

cnf(c_0_64,negated_conjecture,
    ( nil = esk3_0
    | cons(esk5_0,nil) = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_65,negated_conjecture,
    ( nil = esk3_0
    | ssItem(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk1_0,X1)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_67,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_68,negated_conjecture,
    ( neq(esk2_0,nil)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_69,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_57]) ).

cnf(c_0_70,plain,
    ( segmentP(app(app(X3,X1),X4),X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ segmentP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_71,plain,
    ( app(X1,nil) = nil
    | app(nil,X1) != nil
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_30])]),c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    app(nil,esk4_0) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_62]),c_0_47])]) ).

cnf(c_0_73,plain,
    ( cons(X1,app(X2,nil)) != app(app(nil,X2),nil)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_30])]),c_0_61]) ).

cnf(c_0_74,negated_conjecture,
    ( cons(esk5_0,X1) = app(esk3_0,X1)
    | esk3_0 = nil
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_64]),c_0_65]) ).

cnf(c_0_75,negated_conjecture,
    ( esk3_0 != nil
    | ~ segmentP(esk3_0,X1)
    | ~ segmentP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_67]),c_0_40]) ).

cnf(c_0_76,negated_conjecture,
    ( neq(esk4_0,nil)
    | esk3_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_40]),c_0_67]) ).

cnf(c_0_77,plain,
    ( segmentP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_42]),c_0_30])]),c_0_28]) ).

cnf(c_0_78,plain,
    ( segmentP(app(nil,X1),X2)
    | ~ segmentP(nil,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_52]),c_0_30])]) ).

cnf(c_0_79,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_69,c_0_29]),c_0_30])]),c_0_28]) ).

cnf(c_0_80,negated_conjecture,
    ( app(esk4_0,nil) = nil
    | esk4_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_47])]) ).

cnf(c_0_81,plain,
    ( app(cons(X1,X2),nil) != app(app(nil,X2),nil)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_33]),c_0_30])]) ).

cnf(c_0_82,negated_conjecture,
    ( cons(esk5_0,esk4_0) = app(esk3_0,esk4_0)
    | esk3_0 = nil ),
    inference(spm,[status(thm)],[c_0_74,c_0_47]) ).

cnf(c_0_83,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_84,negated_conjecture,
    ( esk3_0 != nil
    | ~ segmentP(esk3_0,esk4_0)
    | ~ segmentP(esk4_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_47])]) ).

cnf(c_0_85,negated_conjecture,
    segmentP(esk4_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_72]),c_0_47]),c_0_30])]) ).

cnf(c_0_86,plain,
    ( segmentP(X1,X2)
    | ~ segmentP(nil,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_29]) ).

cnf(c_0_87,negated_conjecture,
    ( segmentP(nil,esk4_0)
    | esk4_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_47]),c_0_30])]) ).

cnf(c_0_88,negated_conjecture,
    ( nil = esk4_0
    | cons(esk5_0,nil) = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_89,negated_conjecture,
    ( nil = esk4_0
    | ssItem(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_90,plain,
    ! [X35,X36] :
      ( ( ~ neq(X35,X36)
        | X35 != X36
        | ~ ssList(X36)
        | ~ ssList(X35) )
      & ( X35 = X36
        | neq(X35,X36)
        | ~ ssList(X36)
        | ~ ssList(X35) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

fof(c_0_91,plain,
    ! [X55,X56,X59,X60] :
      ( ( ssList(esk10_2(X55,X56))
        | ~ memberP(X55,X56)
        | ~ ssItem(X56)
        | ~ ssList(X55) )
      & ( ssList(esk11_2(X55,X56))
        | ~ memberP(X55,X56)
        | ~ ssItem(X56)
        | ~ ssList(X55) )
      & ( app(esk10_2(X55,X56),cons(X56,esk11_2(X55,X56))) = X55
        | ~ memberP(X55,X56)
        | ~ ssItem(X56)
        | ~ ssList(X55) )
      & ( ~ ssList(X59)
        | ~ ssList(X60)
        | app(X59,cons(X56,X60)) != X55
        | memberP(X55,X56)
        | ~ ssItem(X56)
        | ~ ssList(X55) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).

cnf(c_0_92,plain,
    ( app(cons(X1,X2),nil) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_42]),c_0_30])]) ).

cnf(c_0_93,negated_conjecture,
    ( esk3_0 = nil
    | app(app(esk3_0,esk4_0),nil) != app(app(nil,esk4_0),nil) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_47])]),c_0_65]) ).

cnf(c_0_94,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_83,c_0_67]) ).

cnf(c_0_95,negated_conjecture,
    ( esk3_0 != nil
    | ~ segmentP(esk3_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).

cnf(c_0_96,negated_conjecture,
    ( segmentP(X1,esk4_0)
    | esk4_0 != nil
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_47])]) ).

cnf(c_0_97,negated_conjecture,
    ( esk4_0 = nil
    | esk3_0 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_88]),c_0_30])]),c_0_89]) ).

cnf(c_0_98,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_99,plain,
    ( ssList(esk11_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_100,negated_conjecture,
    ( app(app(esk3_0,esk4_0),nil) = app(esk3_0,esk4_0)
    | esk3_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_82]),c_0_47])]),c_0_65]) ).

cnf(c_0_101,negated_conjecture,
    ( esk3_0 = nil
    | ssList(app(esk3_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_82]),c_0_47])]),c_0_65]) ).

cnf(c_0_102,negated_conjecture,
    ( esk3_0 = nil
    | app(app(nil,esk4_0),nil) != app(esk3_0,app(esk4_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_27]),c_0_30]),c_0_47]),c_0_94])]) ).

cnf(c_0_103,negated_conjecture,
    esk3_0 != nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_94])]),c_0_97]) ).

cnf(c_0_104,negated_conjecture,
    ( cons(esk5_0,nil) = app(esk3_0,nil)
    | esk3_0 = nil ),
    inference(spm,[status(thm)],[c_0_74,c_0_30]) ).

cnf(c_0_105,negated_conjecture,
    ( nil = esk2_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_106,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_98,c_0_30]) ).

cnf(c_0_107,negated_conjecture,
    ( cons(esk5_0,esk11_2(X1,X2)) = app(esk3_0,esk11_2(X1,X2))
    | esk3_0 = nil
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(spm,[status(thm)],[c_0_74,c_0_99]) ).

cnf(c_0_108,negated_conjecture,
    ( nil = esk3_0
    | memberP(esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_109,plain,
    ! [X24,X25] :
      ( ~ ssList(X24)
      | ~ ssList(X25)
      | ~ segmentP(X24,X25)
      | ~ segmentP(X25,X24)
      | X24 = X25 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).

cnf(c_0_110,negated_conjecture,
    ( esk3_0 = nil
    | segmentP(app(esk3_0,esk4_0),esk4_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_100]),c_0_47]),c_0_30]),c_0_94])]),c_0_101]) ).

cnf(c_0_111,negated_conjecture,
    app(esk3_0,app(esk4_0,nil)) != app(esk4_0,nil),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_72]),c_0_103]) ).

cnf(c_0_112,negated_conjecture,
    app(app(esk3_0,esk4_0),nil) = app(esk3_0,esk4_0),
    inference(sr,[status(thm)],[c_0_100,c_0_103]) ).

cnf(c_0_113,negated_conjecture,
    ( app(esk3_0,nil) = esk3_0
    | esk3_0 = nil ),
    inference(spm,[status(thm)],[c_0_64,c_0_104]) ).

cnf(c_0_114,negated_conjecture,
    ( esk4_0 = nil
    | ~ segmentP(esk3_0,X1)
    | ~ segmentP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_40]),c_0_67]),c_0_40]) ).

cnf(c_0_115,negated_conjecture,
    ( esk3_0 = nil
    | neq(esk3_0,nil) ),
    inference(spm,[status(thm)],[c_0_106,c_0_94]) ).

fof(c_0_116,plain,
    ! [X26] :
      ( ~ ssList(X26)
      | segmentP(X26,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

cnf(c_0_117,negated_conjecture,
    ( cons(esk5_0,esk11_2(esk4_0,esk5_0)) = app(esk3_0,esk11_2(esk4_0,esk5_0))
    | esk3_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_47])]),c_0_65]) ).

cnf(c_0_118,plain,
    ( X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_119,negated_conjecture,
    segmentP(app(esk3_0,esk4_0),esk4_0),
    inference(sr,[status(thm)],[c_0_110,c_0_103]) ).

cnf(c_0_120,negated_conjecture,
    ssList(app(esk3_0,esk4_0)),
    inference(sr,[status(thm)],[c_0_101,c_0_103]) ).

cnf(c_0_121,negated_conjecture,
    app(esk3_0,esk4_0) != esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_42]),c_0_47])]) ).

cnf(c_0_122,negated_conjecture,
    app(esk3_0,app(esk4_0,nil)) = app(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_112]),c_0_30]),c_0_47]),c_0_94])]) ).

cnf(c_0_123,negated_conjecture,
    app(esk3_0,nil) = esk3_0,
    inference(sr,[status(thm)],[c_0_113,c_0_103]) ).

cnf(c_0_124,negated_conjecture,
    ( esk4_0 = nil
    | ~ segmentP(esk3_0,esk3_0)
    | ~ segmentP(esk4_0,esk3_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_94])]),c_0_97]) ).

cnf(c_0_125,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_126,plain,
    ( app(esk10_2(X1,X2),cons(X2,esk11_2(X1,X2))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_127,negated_conjecture,
    cons(esk5_0,esk11_2(esk4_0,esk5_0)) = app(esk3_0,esk11_2(esk4_0,esk5_0)),
    inference(sr,[status(thm)],[c_0_117,c_0_103]) ).

cnf(c_0_128,negated_conjecture,
    memberP(esk4_0,esk5_0),
    inference(sr,[status(thm)],[c_0_108,c_0_103]) ).

cnf(c_0_129,negated_conjecture,
    ssItem(esk5_0),
    inference(sr,[status(thm)],[c_0_65,c_0_103]) ).

cnf(c_0_130,negated_conjecture,
    ~ segmentP(esk4_0,app(esk3_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_118,c_0_119]),c_0_120]),c_0_47])]),c_0_121]) ).

cnf(c_0_131,negated_conjecture,
    ( app(esk3_0,esk4_0) = esk3_0
    | esk4_0 != nil ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_80]),c_0_123]) ).

cnf(c_0_132,negated_conjecture,
    ( esk4_0 = nil
    | ~ segmentP(esk4_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_94])]) ).

cnf(c_0_133,plain,
    ( segmentP(app(X1,app(X2,X3)),X2)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_27]),c_0_53]) ).

cnf(c_0_134,negated_conjecture,
    app(esk10_2(esk4_0,esk5_0),app(esk3_0,esk11_2(esk4_0,esk5_0))) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_47]),c_0_129])]) ).

cnf(c_0_135,negated_conjecture,
    ~ segmentP(esk4_0,esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ ssList(esk11_2(esk4_0,esk5_0))
    | ~ ssList(esk10_2(esk4_0,esk5_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_94])]),c_0_135]) ).

cnf(c_0_137,negated_conjecture,
    ~ ssList(esk10_2(esk4_0,esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_99]),c_0_128]),c_0_47]),c_0_129])]) ).

cnf(c_0_138,plain,
    ( ssList(esk10_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_139,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_128]),c_0_47]),c_0_129])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWC055+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n021.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 2400
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Oct  3 01:51:16 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.17/0.45  Running first-order model finding
% 0.17/0.45  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.TRJ35FWeMm/E---3.1_29601.p
% 76.31/10.25  # Version: 3.1pre001
% 76.31/10.25  # Preprocessing class: FSLSSMSSSSSNFFN.
% 76.31/10.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.31/10.25  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 76.31/10.25  # Starting new_bool_3 with 300s (1) cores
% 76.31/10.25  # Starting new_bool_1 with 300s (1) cores
% 76.31/10.25  # Starting sh5l with 300s (1) cores
% 76.31/10.25  # new_bool_1 with pid 29681 completed with status 0
% 76.31/10.25  # Result found by new_bool_1
% 76.31/10.25  # Preprocessing class: FSLSSMSSSSSNFFN.
% 76.31/10.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.31/10.25  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 76.31/10.25  # Starting new_bool_3 with 300s (1) cores
% 76.31/10.25  # Starting new_bool_1 with 300s (1) cores
% 76.31/10.25  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 76.31/10.25  # Search class: FGHSF-FFMM21-MFFFFFNN
% 76.31/10.25  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 76.31/10.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 76.31/10.25  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29684 completed with status 0
% 76.31/10.25  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 76.31/10.25  # Preprocessing class: FSLSSMSSSSSNFFN.
% 76.31/10.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.31/10.25  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 76.31/10.25  # Starting new_bool_3 with 300s (1) cores
% 76.31/10.25  # Starting new_bool_1 with 300s (1) cores
% 76.31/10.25  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 76.31/10.25  # Search class: FGHSF-FFMM21-MFFFFFNN
% 76.31/10.25  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 76.31/10.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 76.31/10.25  # Preprocessing time       : 0.002 s
% 76.31/10.25  # Presaturation interreduction done
% 76.31/10.25  
% 76.31/10.25  # Proof found!
% 76.31/10.25  # SZS status Theorem
% 76.31/10.25  # SZS output start CNFRefutation
% See solution above
% 76.31/10.25  # Parsed axioms                        : 96
% 76.31/10.25  # Removed by relevancy pruning/SinE    : 57
% 76.31/10.25  # Initial clauses                      : 78
% 76.31/10.25  # Removed in clause preprocessing      : 0
% 76.31/10.25  # Initial clauses in saturation        : 78
% 76.31/10.25  # Processed clauses                    : 25089
% 76.31/10.25  # ...of these trivial                  : 572
% 76.31/10.25  # ...subsumed                          : 18336
% 76.31/10.25  # ...remaining for further processing  : 6181
% 76.31/10.25  # Other redundant clauses eliminated   : 165
% 76.31/10.25  # Clauses deleted for lack of memory   : 0
% 76.31/10.25  # Backward-subsumed                    : 890
% 76.31/10.25  # Backward-rewritten                   : 357
% 76.31/10.25  # Generated clauses                    : 441437
% 76.31/10.25  # ...of the previous two non-redundant : 433406
% 76.31/10.25  # ...aggressively subsumed             : 0
% 76.31/10.25  # Contextual simplify-reflections      : 1696
% 76.31/10.25  # Paramodulations                      : 440738
% 76.31/10.25  # Factorizations                       : 2
% 76.31/10.25  # NegExts                              : 0
% 76.31/10.25  # Equation resolutions                 : 218
% 76.31/10.25  # Total rewrite steps                  : 264278
% 76.31/10.25  # Propositional unsat checks           : 1
% 76.31/10.25  #    Propositional check models        : 0
% 76.31/10.25  #    Propositional check unsatisfiable : 0
% 76.31/10.25  #    Propositional clauses             : 0
% 76.31/10.25  #    Propositional clauses after purity: 0
% 76.31/10.25  #    Propositional unsat core size     : 0
% 76.31/10.25  #    Propositional preprocessing time  : 0.000
% 76.31/10.25  #    Propositional encoding time       : 0.421
% 76.31/10.25  #    Propositional solver time         : 0.424
% 76.31/10.25  #    Success case prop preproc time    : 0.000
% 76.31/10.25  #    Success case prop encoding time   : 0.000
% 76.31/10.25  #    Success case prop solver time     : 0.000
% 76.31/10.25  # Current number of processed clauses  : 4372
% 76.31/10.25  #    Positive orientable unit clauses  : 512
% 76.31/10.25  #    Positive unorientable unit clauses: 0
% 76.31/10.25  #    Negative unit clauses             : 510
% 76.31/10.25  #    Non-unit-clauses                  : 3350
% 76.31/10.25  # Current number of unprocessed clauses: 401733
% 76.31/10.25  # ...number of literals in the above   : 2319909
% 76.31/10.25  # Current number of archived formulas  : 0
% 76.31/10.25  # Current number of archived clauses   : 1801
% 76.31/10.25  # Clause-clause subsumption calls (NU) : 1489699
% 76.31/10.25  # Rec. Clause-clause subsumption calls : 326263
% 76.31/10.25  # Non-unit clause-clause subsumptions  : 12368
% 76.31/10.25  # Unit Clause-clause subsumption calls : 97116
% 76.31/10.25  # Rewrite failures with RHS unbound    : 0
% 76.31/10.25  # BW rewrite match attempts            : 3992
% 76.31/10.25  # BW rewrite match successes           : 95
% 76.31/10.25  # Condensation attempts                : 0
% 76.31/10.25  # Condensation successes               : 0
% 76.31/10.25  # Termbank termtop insertions          : 13995732
% 76.31/10.25  
% 76.31/10.25  # -------------------------------------------------
% 76.31/10.25  # User time                : 9.109 s
% 76.31/10.25  # System time              : 0.339 s
% 76.31/10.25  # Total time               : 9.448 s
% 76.31/10.25  # Maximum resident set size: 2048 pages
% 76.31/10.25  
% 76.31/10.25  # -------------------------------------------------
% 76.31/10.25  # User time                : 9.112 s
% 76.31/10.25  # System time              : 0.342 s
% 76.31/10.25  # Total time               : 9.453 s
% 76.31/10.25  # Maximum resident set size: 1800 pages
% 76.31/10.25  % E---3.1 exiting
%------------------------------------------------------------------------------