TSTP Solution File: SWC297+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC297+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 20:27:53 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  148 (  28 unt;   0 def)
%            Number of atoms       :  553 ( 172 equ)
%            Maximal formula atoms :   27 (   3 avg)
%            Number of connectives :  687 ( 282   ~; 288   |;  44   &)
%                                         (   7 <=>;  66  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :  188 (   0 sgn 108   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ( app(app(X6,cons(X5,nil)),X7) != X1
                                  | ! [X8] :
                                      ( ssItem(X8)
                                     => ( ( ~ memberP(X6,X8)
                                          | lt(X8,X5) )
                                        & ( ~ memberP(X7,X8)
                                          | lt(X5,X8) ) ) ) ) ) ) )
                    | ( nil != X3
                      & nil = X4 )
                    | ( ! [X9] :
                          ( ssItem(X9)
                         => ( cons(X9,nil) != X3
                            | ~ memberP(X4,X9) ) )
                      & neq(X4,nil) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',co1) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

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/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(ax38,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).

fof(ax23,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => hd(cons(X2,X1)) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(ax37,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(cons(X2,X3),X1)
              <=> ( X1 = X2
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).

fof(ax22,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(ax4,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( singletonP(X1)
      <=> ? [X2] :
            ( ssItem(X2)
            & cons(X2,nil) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).

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/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax36,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(app(X2,X3),X1)
              <=> ( memberP(X2,X1)
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).

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/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).

fof(ax25,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => tl(cons(X2,X1)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).

fof(ax79,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X3,X2) = app(X1,X2)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

fof(ax86,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).

fof(ax6,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( rearsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

fof(ax24,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(ax48,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( rearsegP(X1,X2)
              & rearsegP(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax48) ).

fof(c_0_24,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => ( app(app(X6,cons(X5,nil)),X7) != X1
                                    | ! [X8] :
                                        ( ssItem(X8)
                                       => ( ( ~ memberP(X6,X8)
                                            | lt(X8,X5) )
                                          & ( ~ memberP(X7,X8)
                                            | lt(X5,X8) ) ) ) ) ) ) )
                      | ( nil != X3
                        & nil = X4 )
                      | ( ! [X9] :
                            ( ssItem(X9)
                           => ( cons(X9,nil) != X3
                              | ~ memberP(X4,X9) ) )
                        & neq(X4,nil) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_25,negated_conjecture,
    ( ssList(esk48_0)
    & ssList(esk49_0)
    & ssList(esk50_0)
    & ssList(esk51_0)
    & esk49_0 = esk51_0
    & esk48_0 = esk50_0
    & ssItem(esk52_0)
    & ssList(esk53_0)
    & ssList(esk54_0)
    & app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0
    & ssItem(esk55_0)
    & ( memberP(esk54_0,esk55_0)
      | memberP(esk53_0,esk55_0) )
    & ( ~ lt(esk52_0,esk55_0)
      | memberP(esk53_0,esk55_0) )
    & ( memberP(esk54_0,esk55_0)
      | ~ lt(esk55_0,esk52_0) )
    & ( ~ lt(esk52_0,esk55_0)
      | ~ lt(esk55_0,esk52_0) )
    & ( nil = esk50_0
      | nil != esk51_0 )
    & ( ssItem(esk56_0)
      | ~ neq(esk51_0,nil) )
    & ( cons(esk56_0,nil) = esk50_0
      | ~ neq(esk51_0,nil) )
    & ( memberP(esk51_0,esk56_0)
      | ~ neq(esk51_0,nil) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_24])])])])])])]) ).

fof(c_0_26,plain,
    ! [X3,X4] :
      ( ( nil = X4
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil = X3
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil != X4
        | nil != X3
        | nil = app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])])]) ).

cnf(c_0_27,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_29,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])])]) ).

cnf(c_0_30,plain,
    ( nil = X2
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_33,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | ssList(app(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])])]) ).

cnf(c_0_34,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ssList(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    ( esk54_0 = nil
    | esk50_0 != nil
    | ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_37,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_38,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | ssList(cons(X4,X3)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])])]) ).

cnf(c_0_39,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40,negated_conjecture,
    ( app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_34]),c_0_32]),c_0_35])]) ).

cnf(c_0_41,negated_conjecture,
    ( esk54_0 = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_35])]) ).

cnf(c_0_42,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_44,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_45,negated_conjecture,
    ( esk53_0 = nil
    | esk50_0 != nil
    | ~ ssList(app(cons(esk52_0,nil),esk54_0))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_35])]) ).

cnf(c_0_46,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_47,negated_conjecture,
    ( esk54_0 = nil
    | esk50_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_48,negated_conjecture,
    ( esk53_0 = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_32])]) ).

fof(c_0_49,plain,
    ! [X3,X4] :
      ( ( ~ neq(X3,X4)
        | X3 != X4
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( X3 = X4
        | neq(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])])])]) ).

cnf(c_0_50,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_51,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_52,plain,
    ! [X2] :
      ( ~ ssItem(X2)
      | ~ memberP(nil,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax38])])]) ).

cnf(c_0_53,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(nil,esk55_0)
    | esk50_0 != nil ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    ( esk53_0 = nil
    | esk50_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_43]),c_0_44])]) ).

fof(c_0_55,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | hd(cons(X4,X3)) = X4 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])])]) ).

cnf(c_0_56,negated_conjecture,
    ( cons(esk56_0,nil) = esk50_0
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_57,plain,
    ( neq(X1,X2)
    | X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_58,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_59,negated_conjecture,
    ( ssItem(esk56_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_60,plain,
    ! [X4,X5,X6] :
      ( ( ~ memberP(cons(X5,X6),X4)
        | X4 = X5
        | memberP(X6,X4)
        | ~ ssList(X6)
        | ~ ssItem(X5)
        | ~ ssItem(X4) )
      & ( X4 != X5
        | memberP(cons(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssItem(X5)
        | ~ ssItem(X4) )
      & ( ~ memberP(X6,X4)
        | memberP(cons(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssItem(X5)
        | ~ ssItem(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])])])]) ).

cnf(c_0_61,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_62,negated_conjecture,
    ( memberP(nil,esk55_0)
    | esk50_0 != nil ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_63,negated_conjecture,
    ssItem(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_64,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ssItem(hd(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_65,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_66,negated_conjecture,
    ( cons(esk56_0,nil) = esk50_0
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_43]),c_0_58])]) ).

cnf(c_0_67,negated_conjecture,
    ( esk51_0 = nil
    | ssItem(esk56_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_43]),c_0_58])]) ).

cnf(c_0_68,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_69,plain,
    ( memberP(cons(X2,X3),X1)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_70,plain,
    ! [X3,X5] :
      ( ( ssItem(esk5_1(X3))
        | ~ singletonP(X3)
        | ~ ssList(X3) )
      & ( cons(esk5_1(X3),nil) = X3
        | ~ singletonP(X3)
        | ~ ssList(X3) )
      & ( ~ ssItem(X5)
        | cons(X5,nil) != X3
        | singletonP(X3)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])])])]) ).

cnf(c_0_71,negated_conjecture,
    esk50_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).

cnf(c_0_72,negated_conjecture,
    ( nil = esk50_0
    | nil != esk51_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_73,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_74,negated_conjecture,
    ( hd(esk50_0) = esk56_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_43])]),c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_68,c_0_28]) ).

fof(c_0_76,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk3_2(X5,X6))
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( ssList(esk4_2(X5,X6))
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6))) = X5
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(X9,cons(X6,X10)) != X5
        | memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])])])]) ).

fof(c_0_77,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | cons(X4,X3) = app(cons(X4,nil),X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])])]) ).

cnf(c_0_78,plain,
    ( memberP(cons(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_69]) ).

cnf(c_0_79,plain,
    ( singletonP(X1)
    | ~ ssList(X1)
    | cons(X2,nil) != X1
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_80,negated_conjecture,
    esk51_0 != nil,
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_81,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk56_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]),c_0_72]) ).

fof(c_0_82,plain,
    ! [X4,X5,X6] :
      ( ( ~ memberP(app(X5,X6),X4)
        | memberP(X5,X4)
        | memberP(X6,X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) )
      & ( ~ memberP(X5,X4)
        | memberP(app(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) )
      & ( ~ memberP(X6,X4)
        | memberP(app(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])])])]) ).

cnf(c_0_83,plain,
    ( memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_84,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_85,plain,
    ( memberP(X3,X1)
    | X1 = X2
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ memberP(cons(X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_86,plain,
    ( cons(esk5_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_87,plain,
    ( ssItem(esk5_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_88,negated_conjecture,
    ( esk51_0 = nil
    | memberP(esk50_0,esk56_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_66]),c_0_43])]),c_0_67]) ).

cnf(c_0_89,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    cons(esk56_0,nil) = esk50_0,
    inference(sr,[status(thm)],[c_0_66,c_0_80]) ).

cnf(c_0_91,negated_conjecture,
    ssItem(esk56_0),
    inference(sr,[status(thm)],[c_0_81,c_0_71]) ).

fof(c_0_92,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssItem(X6)
      | cons(X6,app(X5,X4)) = app(cons(X6,X5),X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])])]) ).

cnf(c_0_93,plain,
    ( memberP(app(X2,X3),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ memberP(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_94,plain,
    ( nil = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X1
    | nil != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_95,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | tl(cons(X4,X3)) = X3 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])])])]) ).

cnf(c_0_96,plain,
    ( memberP(app(X1,cons(X2,X3)),X2)
    | ~ ssList(app(X1,cons(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(er,[status(thm)],[c_0_83]) ).

cnf(c_0_97,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,esk54_0)) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_84]),c_0_32]),c_0_44])]) ).

cnf(c_0_98,plain,
    ( X1 = esk5_1(X2)
    | ~ singletonP(X2)
    | ~ memberP(X2,X1)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_43])]),c_0_87]),c_0_61]) ).

cnf(c_0_99,negated_conjecture,
    memberP(esk50_0,esk56_0),
    inference(sr,[status(thm)],[c_0_88,c_0_80]) ).

cnf(c_0_100,negated_conjecture,
    singletonP(esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_75]),c_0_91])]) ).

fof(c_0_101,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(X6,X5) != app(X4,X5)
      | X6 = X4 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])])])]) ).

fof(c_0_102,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(nil,X2) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

cnf(c_0_103,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_104,plain,
    ( nil != X1
    | nil != X2
    | ~ memberP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_61]) ).

fof(c_0_105,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(X2,nil) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

cnf(c_0_106,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_107,negated_conjecture,
    ( memberP(esk50_0,esk52_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_75]),c_0_32]),c_0_35]),c_0_44])]) ).

cnf(c_0_108,negated_conjecture,
    esk5_1(esk50_0) = esk56_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_75]),c_0_91])]) ).

cnf(c_0_109,plain,
    ( X1 = X2
    | app(X1,X3) != app(X2,X3)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_110,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_111,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,app(nil,esk54_0))) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_103]),c_0_32]),c_0_43]),c_0_44])]) ).

cnf(c_0_112,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | esk54_0 != nil
    | nil != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_46]),c_0_32]),c_0_63])]) ).

cnf(c_0_113,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

fof(c_0_114,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | nil = X3
      | tl(app(X3,X4)) = app(tl(X3),X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])])])]) ).

cnf(c_0_115,negated_conjecture,
    ( tl(esk50_0) = nil
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_66]),c_0_43])]),c_0_67]) ).

cnf(c_0_116,negated_conjecture,
    ( esk56_0 = esk52_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_107]),c_0_100]),c_0_75]),c_0_44])]),c_0_108]) ).

cnf(c_0_117,plain,
    ( X1 = nil
    | app(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_43])]) ).

cnf(c_0_118,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk50_0
    | esk54_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_94]),c_0_32]),c_0_43])]) ).

cnf(c_0_119,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | esk54_0 != nil ),
    inference(spm,[status(thm)],[c_0_112,c_0_32]) ).

fof(c_0_120,plain,
    ! [X4,X5,X7] :
      ( ( ssList(esk7_2(X4,X5))
        | ~ rearsegP(X4,X5)
        | ~ ssList(X5)
        | ~ ssList(X4) )
      & ( app(esk7_2(X4,X5),X5) = X4
        | ~ rearsegP(X4,X5)
        | ~ ssList(X5)
        | ~ ssList(X4) )
      & ( ~ ssList(X7)
        | app(X7,X5) != X4
        | rearsegP(X4,X5)
        | ~ ssList(X5)
        | ~ ssList(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])])])]) ).

cnf(c_0_121,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_113,c_0_34]),c_0_43])]),c_0_37]) ).

cnf(c_0_122,negated_conjecture,
    ( app(app(esk53_0,cons(esk52_0,nil)),app(esk54_0,X1)) = app(esk50_0,X1)
    | ~ ssList(app(esk53_0,cons(esk52_0,nil)))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_32])]) ).

cnf(c_0_123,plain,
    ( tl(app(X1,X2)) = app(tl(X1),X2)
    | nil = X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_124,negated_conjecture,
    tl(esk50_0) = nil,
    inference(sr,[status(thm)],[c_0_115,c_0_80]) ).

cnf(c_0_125,negated_conjecture,
    esk56_0 = esk52_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_126,negated_conjecture,
    ( esk53_0 = nil
    | cons(esk52_0,nil) != esk50_0
    | esk54_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_35])]) ).

cnf(c_0_127,negated_conjecture,
    ( esk53_0 != nil
    | esk54_0 != nil
    | nil != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_119]),c_0_35]),c_0_63])]) ).

cnf(c_0_128,plain,
    ( rearsegP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X3,X2) != X1
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_129,negated_conjecture,
    ( app(esk50_0,nil) = esk50_0
    | ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_31]),c_0_32]),c_0_43])]) ).

cnf(c_0_130,negated_conjecture,
    ( app(tl(app(esk53_0,cons(esk52_0,nil))),esk54_0) = nil
    | app(esk53_0,cons(esk52_0,nil)) = nil
    | ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_31]),c_0_32])]),c_0_124]) ).

cnf(c_0_131,negated_conjecture,
    cons(esk52_0,nil) = esk50_0,
    inference(rw,[status(thm)],[c_0_90,c_0_125]) ).

cnf(c_0_132,negated_conjecture,
    ( esk53_0 = nil
    | cons(esk52_0,nil) != esk50_0
    | esk54_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_133,negated_conjecture,
    ( esk53_0 != nil
    | esk54_0 != nil ),
    inference(spm,[status(thm)],[c_0_127,c_0_32]) ).

fof(c_0_134,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ssList(tl(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

fof(c_0_135,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | ~ rearsegP(X3,X4)
      | ~ rearsegP(X4,X3)
      | X3 = X4 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])])])]) ).

cnf(c_0_136,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_128]),c_0_37]) ).

cnf(c_0_137,negated_conjecture,
    ( app(esk50_0,nil) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_37]),c_0_35])]) ).

cnf(c_0_138,negated_conjecture,
    ( app(tl(app(esk53_0,esk50_0)),esk54_0) = nil
    | app(esk53_0,esk50_0) = nil
    | ~ ssList(app(esk53_0,esk50_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131]),c_0_131]),c_0_131]) ).

cnf(c_0_139,negated_conjecture,
    esk54_0 != nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_131])]),c_0_133]) ).

cnf(c_0_140,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_141,plain,
    ( X1 = X2
    | ~ rearsegP(X2,X1)
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_142,negated_conjecture,
    ( rearsegP(esk50_0,nil)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_75]),c_0_43])]) ).

cnf(c_0_143,negated_conjecture,
    ( app(esk53_0,esk50_0) = nil
    | ~ ssList(app(esk53_0,esk50_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_138]),c_0_32])]),c_0_139]),c_0_140]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ rearsegP(nil,esk50_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_75]),c_0_43])]),c_0_71]) ).

cnf(c_0_145,negated_conjecture,
    app(esk53_0,esk50_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_37]),c_0_75]),c_0_35])]) ).

cnf(c_0_146,negated_conjecture,
    ~ rearsegP(nil,esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_131]),c_0_75])]) ).

cnf(c_0_147,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_145]),c_0_35]),c_0_75])]),c_0_146]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC297+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 11:53:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.025 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 148
% 0.23/1.42  # Proof object clause steps            : 100
% 0.23/1.42  # Proof object formula steps           : 48
% 0.23/1.42  # Proof object conjectures             : 67
% 0.23/1.42  # Proof object clause conjectures      : 64
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 41
% 0.23/1.42  # Proof object initial formulas used   : 24
% 0.23/1.42  # Proof object generating inferences   : 47
% 0.23/1.42  # Proof object simplifying inferences  : 136
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 96
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 209
% 0.23/1.42  # Removed in clause preprocessing      : 2
% 0.23/1.42  # Initial clauses in saturation        : 207
% 0.23/1.42  # Processed clauses                    : 2000
% 0.23/1.42  # ...of these trivial                  : 53
% 0.23/1.42  # ...subsumed                          : 1052
% 0.23/1.42  # ...remaining for further processing  : 895
% 0.23/1.42  # Other redundant clauses eliminated   : 291
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 82
% 0.23/1.42  # Backward-rewritten                   : 191
% 0.23/1.42  # Generated clauses                    : 13892
% 0.23/1.42  # ...of the previous two non-trivial   : 12692
% 0.23/1.42  # Contextual simplify-reflections      : 1042
% 0.23/1.42  # Paramodulations                      : 13531
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 348
% 0.23/1.42  # Current number of processed clauses  : 603
% 0.23/1.42  #    Positive orientable unit clauses  : 49
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 13
% 0.23/1.42  #    Non-unit-clauses                  : 541
% 0.23/1.42  # Current number of unprocessed clauses: 7783
% 0.23/1.42  # ...number of literals in the above   : 60127
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 286
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 115948
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 35556
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 1576
% 0.23/1.42  # Unit Clause-clause subsumption calls : 1637
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 12
% 0.23/1.42  # BW rewrite match successes           : 12
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 287650
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.318 s
% 0.23/1.42  # System time              : 0.005 s
% 0.23/1.42  # Total time               : 0.323 s
% 0.23/1.42  # Maximum resident set size: 13536 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------