TSTP Solution File: SWC237+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC237+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 20:27:32 EDT 2022

% Result   : Theorem 0.28s 5.47s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   74 (  19 unt;   0 def)
%            Number of atoms       :  296 ( 102 equ)
%            Maximal formula atoms :   44 (   4 avg)
%            Number of connectives :  371 ( 149   ~; 148   |;  41   &)
%                                         (   1 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :  122 (   0 sgn  61   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | nil = X1
                  | ? [X5] :
                      ( ssItem(X5)
                      & ? [X6] :
                          ( ssList(X6)
                          & ? [X7] :
                              ( ssList(X7)
                              & app(app(X6,cons(X5,nil)),X7) = X1
                              & ! [X8] :
                                  ( ~ ssItem(X8)
                                  | ~ memberP(X6,X8)
                                  | ~ memberP(X7,X8)
                                  | ~ leq(X5,X8)
                                  | lt(X5,X8) ) ) ) )
                  | ! [X9] :
                      ( ~ ssList(X9)
                      | app(X3,X9) != X4
                      | ~ strictorderedP(X3)
                      | ? [X10] :
                          ( ssItem(X10)
                          & ? [X11] :
                              ( ssList(X11)
                              & app(cons(X10,nil),X11) = X9
                              & ? [X12] :
                                  ( ssItem(X12)
                                  & ? [X13] :
                                      ( ssList(X13)
                                      & app(X13,cons(X12,nil)) = X3
                                      & lt(X12,X10) ) ) ) ) )
                  | ( nil != X4
                    & nil = X3 ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

fof(ax85,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => hd(app(X1,X2)) = hd(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).

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

fof(ax78,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).

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

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

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

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

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

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

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

fof(c_0_15,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | nil = X1
                    | ? [X5] :
                        ( ssItem(X5)
                        & ? [X6] :
                            ( ssList(X6)
                            & ? [X7] :
                                ( ssList(X7)
                                & app(app(X6,cons(X5,nil)),X7) = X1
                                & ! [X8] :
                                    ( ~ ssItem(X8)
                                    | ~ memberP(X6,X8)
                                    | ~ memberP(X7,X8)
                                    | ~ leq(X5,X8)
                                    | lt(X5,X8) ) ) ) )
                    | ! [X9] :
                        ( ~ ssList(X9)
                        | app(X3,X9) != X4
                        | ~ strictorderedP(X3)
                        | ? [X10] :
                            ( ssItem(X10)
                            & ? [X11] :
                                ( ssList(X11)
                                & app(cons(X10,nil),X11) = X9
                                & ? [X12] :
                                    ( ssItem(X12)
                                    & ? [X13] :
                                        ( ssList(X13)
                                        & app(X13,cons(X12,nil)) = X3
                                        & lt(X12,X10) ) ) ) ) )
                    | ( nil != X4
                      & nil = X3 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_16,negated_conjecture,
    ! [X18,X19,X20,X23,X24,X25,X26] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & nil != esk1_0
      & ( ssItem(esk5_3(X18,X19,X20))
        | ~ ssList(X20)
        | app(app(X19,cons(X18,nil)),X20) != esk1_0
        | ~ ssList(X19)
        | ~ ssItem(X18) )
      & ( memberP(X19,esk5_3(X18,X19,X20))
        | ~ ssList(X20)
        | app(app(X19,cons(X18,nil)),X20) != esk1_0
        | ~ ssList(X19)
        | ~ ssItem(X18) )
      & ( memberP(X20,esk5_3(X18,X19,X20))
        | ~ ssList(X20)
        | app(app(X19,cons(X18,nil)),X20) != esk1_0
        | ~ ssList(X19)
        | ~ ssItem(X18) )
      & ( leq(X18,esk5_3(X18,X19,X20))
        | ~ ssList(X20)
        | app(app(X19,cons(X18,nil)),X20) != esk1_0
        | ~ ssList(X19)
        | ~ ssItem(X18) )
      & ( ~ lt(X18,esk5_3(X18,X19,X20))
        | ~ ssList(X20)
        | app(app(X19,cons(X18,nil)),X20) != esk1_0
        | ~ ssList(X19)
        | ~ ssItem(X18) )
      & ssList(esk6_0)
      & app(esk3_0,esk6_0) = esk4_0
      & strictorderedP(esk3_0)
      & ( ~ ssItem(X23)
        | ~ ssList(X24)
        | app(cons(X23,nil),X24) != esk6_0
        | ~ ssItem(X25)
        | ~ ssList(X26)
        | app(X26,cons(X25,nil)) != esk3_0
        | ~ lt(X25,X23) )
      & ( nil = esk4_0
        | nil != esk3_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_15])])])])])])])]) ).

fof(c_0_17,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | nil = X3
      | hd(app(X3,X4)) = hd(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)],[ax85])])])])]) ).

cnf(c_0_18,negated_conjecture,
    app(esk3_0,esk6_0) = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    nil != esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_23,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])])])])]) ).

fof(c_0_24,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(X2,nil) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(c_0_25,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | cons(hd(X2),tl(X2)) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).

cnf(c_0_26,plain,
    ( hd(app(X1,X2)) = hd(X1)
    | nil = X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    app(esk3_0,esk6_0) = esk2_0,
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_28,negated_conjecture,
    ssList(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_29,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_30,negated_conjecture,
    nil != esk3_0,
    inference(rw,[status(thm)],[c_0_22,c_0_21]) ).

fof(c_0_31,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ssItem(hd(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_32,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_35,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    hd(esk3_0) = hd(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]),c_0_30]) ).

cnf(c_0_37,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_38,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_39,negated_conjecture,
    ( memberP(X2,esk5_3(X1,X2,X3))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | app(app(X2,cons(X1,nil)),X3) != esk1_0
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_40,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])])])])]) ).

fof(c_0_41,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_42,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_32,c_0_33]),c_0_34])]) ).

cnf(c_0_43,negated_conjecture,
    cons(hd(esk2_0),tl(esk3_0)) = esk3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_29])]),c_0_30]) ).

cnf(c_0_44,negated_conjecture,
    ssItem(hd(esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_29])]),c_0_30]) ).

fof(c_0_45,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ssList(tl(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

cnf(c_0_46,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,negated_conjecture,
    ( memberP(X1,esk5_3(X2,X1,X3))
    | app(app(X1,cons(X2,nil)),X3) != esk3_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(rw,[status(thm)],[c_0_39,c_0_21]) ).

cnf(c_0_48,negated_conjecture,
    ( ssItem(esk5_3(X1,X2,X3))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | app(app(X2,cons(X1,nil)),X3) != esk1_0
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_49,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_50,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_51,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])])])])]) ).

fof(c_0_52,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])])])])]) ).

fof(c_0_53,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_54,negated_conjecture,
    ( app(esk3_0,nil) = esk3_0
    | ~ ssList(tl(esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).

cnf(c_0_55,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_56,negated_conjecture,
    ( app(app(nil,cons(X1,nil)),X2) != esk3_0
    | ~ ssList(X2)
    | ~ ssItem(esk5_3(X1,nil,X2))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_34])]) ).

cnf(c_0_57,negated_conjecture,
    ( ssItem(esk5_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk3_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[c_0_48,c_0_21]) ).

fof(c_0_58,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(nil,X2) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

cnf(c_0_59,plain,
    ( ssList(app(cons(X1,nil),X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_60,plain,
    ( tl(app(X1,X2)) = app(tl(X1),X2)
    | nil = X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_61,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_62,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    app(esk3_0,nil) = esk3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_29])]),c_0_30]) ).

cnf(c_0_64,negated_conjecture,
    ( app(app(nil,cons(X1,nil)),X2) != esk3_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_34])]) ).

cnf(c_0_65,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_66,plain,
    ( ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_42]),c_0_34])]) ).

cnf(c_0_67,plain,
    ( app(cons(hd(X1),nil),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_50]),c_0_37]),c_0_55]) ).

cnf(c_0_68,plain,
    ( nil = X1
    | ssList(app(tl(X1),X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_60]),c_0_61]),c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    app(tl(esk3_0),nil) = tl(esk3_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_34]),c_0_29])]),c_0_30]) ).

cnf(c_0_70,negated_conjecture,
    ( app(cons(X1,nil),X2) != esk3_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_71,negated_conjecture,
    app(cons(hd(esk2_0),nil),tl(esk3_0)) = esk3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_36]),c_0_29])]),c_0_30]) ).

cnf(c_0_72,negated_conjecture,
    ssList(tl(esk3_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_34]),c_0_29])]),c_0_30]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_44])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWC237+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command  : run_ET %s %d
% 0.13/0.36  % Computer : n017.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Sat Jun 11 20:14:51 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.28/5.47  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/5.47  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/5.47  # Preprocessing time       : 0.025 s
% 0.28/5.47  
% 0.28/5.47  # Proof found!
% 0.28/5.47  # SZS status Theorem
% 0.28/5.47  # SZS output start CNFRefutation
% See solution above
% 0.28/5.47  # Proof object total steps             : 74
% 0.28/5.47  # Proof object clause steps            : 44
% 0.28/5.47  # Proof object formula steps           : 30
% 0.28/5.47  # Proof object conjectures             : 28
% 0.28/5.47  # Proof object clause conjectures      : 25
% 0.28/5.47  # Proof object formula conjectures     : 3
% 0.28/5.47  # Proof object initial clauses used    : 22
% 0.28/5.47  # Proof object initial formulas used   : 15
% 0.28/5.47  # Proof object generating inferences   : 17
% 0.28/5.47  # Proof object simplifying inferences  : 47
% 0.28/5.47  # Training examples: 0 positive, 0 negative
% 0.28/5.47  # Parsed axioms                        : 96
% 0.28/5.47  # Removed by relevancy pruning/SinE    : 52
% 0.28/5.47  # Initial clauses                      : 89
% 0.28/5.47  # Removed in clause preprocessing      : 1
% 0.28/5.47  # Initial clauses in saturation        : 88
% 0.28/5.47  # Processed clauses                    : 27783
% 0.28/5.47  # ...of these trivial                  : 791
% 0.28/5.47  # ...subsumed                          : 24523
% 0.28/5.47  # ...remaining for further processing  : 2469
% 0.28/5.47  # Other redundant clauses eliminated   : 45
% 0.28/5.47  # Clauses deleted for lack of memory   : 0
% 0.28/5.47  # Backward-subsumed                    : 368
% 0.28/5.47  # Backward-rewritten                   : 10
% 0.28/5.47  # Generated clauses                    : 98892
% 0.28/5.47  # ...of the previous two non-trivial   : 90468
% 0.28/5.47  # Contextual simplify-reflections      : 21478
% 0.28/5.47  # Paramodulations                      : 98803
% 0.28/5.47  # Factorizations                       : 0
% 0.28/5.47  # Equation resolutions                 : 88
% 0.28/5.47  # Current number of processed clauses  : 2088
% 0.28/5.47  #    Positive orientable unit clauses  : 31
% 0.28/5.47  #    Positive unorientable unit clauses: 0
% 0.28/5.47  #    Negative unit clauses             : 7
% 0.28/5.47  #    Non-unit-clauses                  : 2050
% 0.28/5.47  # Current number of unprocessed clauses: 60801
% 0.28/5.47  # ...number of literals in the above   : 271845
% 0.28/5.47  # Current number of archived formulas  : 0
% 0.28/5.47  # Current number of archived clauses   : 379
% 0.28/5.47  # Clause-clause subsumption calls (NU) : 5884360
% 0.28/5.47  # Rec. Clause-clause subsumption calls : 3339247
% 0.28/5.47  # Non-unit clause-clause subsumptions  : 41574
% 0.28/5.47  # Unit Clause-clause subsumption calls : 559
% 0.28/5.47  # Rewrite failures with RHS unbound    : 0
% 0.28/5.47  # BW rewrite match attempts            : 7
% 0.28/5.47  # BW rewrite match successes           : 7
% 0.28/5.47  # Condensation attempts                : 0
% 0.28/5.47  # Condensation successes               : 0
% 0.28/5.47  # Termbank termtop insertions          : 1464525
% 0.28/5.47  
% 0.28/5.47  # -------------------------------------------------
% 0.28/5.47  # User time                : 4.057 s
% 0.28/5.47  # System time              : 0.037 s
% 0.28/5.47  # Total time               : 4.094 s
% 0.28/5.47  # Maximum resident set size: 50744 pages
% 0.28/23.44  eprover: CPU time limit exceeded, terminating
% 0.28/23.44  eprover: CPU time limit exceeded, terminating
% 0.28/23.45  eprover: CPU time limit exceeded, terminating
% 0.28/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45  eprover: No such file or directory
% 0.28/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.46  eprover: No such file or directory
% 0.28/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46  eprover: No such file or directory
% 0.28/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46  eprover: No such file or directory
% 0.28/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.46  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49  eprover: No such file or directory
% 0.28/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49  eprover: No such file or directory
% 0.28/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49  eprover: No such file or directory
% 0.28/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49  eprover: No such file or directory
% 0.28/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49  eprover: No such file or directory
% 0.28/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49  eprover: No such file or directory
% 0.28/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50  eprover: No such file or directory
% 0.28/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50  eprover: No such file or directory
% 0.28/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50  eprover: No such file or directory
% 0.28/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50  eprover: No such file or directory
% 0.28/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50  eprover: No such file or directory
% 0.28/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50  eprover: No such file or directory
% 0.28/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51  eprover: No such file or directory
% 0.28/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51  eprover: No such file or directory
% 0.28/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------