TSTP Solution File: SWW878+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW878+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 : Thu Jul 21 00:11:37 EDT 2022

% Result   : Theorem 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   45 (  21 unt;   0 def)
%            Number of atoms       :  105 (  71 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   88 (  28   ~;  27   |;  24   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   35 (  35 usr;  12 con; 0-3 aty)
%            Number of variables   :  114 (  18 sgn  75   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conjecture,conjecture,
    ! [X26,X8,X32] :
      ( ! [X29,X33] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X32),s__02(c_27type_2enum_2enum_27__00,X29))),s__02(c_27type_2enum_2enum_27__00,X33))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X33),s__02(c_27type_2enum_2enum_27__00,X29)))
     => ! [X29,X18,X30,X9,X31] :
          ( ( p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X32),s__02(c_27type_2enum_2enum_27__00,X29))),s__02(c_27type_2easm_2ereg__imm_27__01(X8),X18))))
            & s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X8),X18),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X8),X9)))
            & p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X29),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),X31)))) )
         => s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X8),X18),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),X31))),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X8),X9))) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conjecture) ).

fof('thm.wordSem.get_var_imm_def',axiom,
    ! [X26,X8] :
      ( ! [X22,X27] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X8),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X22))),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X22),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X27)))
      & ! [X28,X27] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X8),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X8),X28))),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X8),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X8),X28))))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','thm.wordSem.get_var_imm_def') ).

fof('thm.asm.reg_imm_nchotomy',axiom,
    ! [X8,X21] :
      ( ? [X22] : s__02(c_27type_2easm_2ereg__imm_27__01(X8),X21) = s__02(c_27type_2easm_2ereg__imm_27__01(X8),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X22)))
      | ? [X23] : s__02(c_27type_2easm_2ereg__imm_27__01(X8),X21) = s__02(c_27type_2easm_2ereg__imm_27__01(X8),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X8),X23))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','thm.asm.reg_imm_nchotomy') ).

fof('thm.wordLang.every_var_imm_def',axiom,
    ! [X8,X24,X18,X25] :
      ( s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X25),s__02(c_27type_2easm_2ereg__imm_27__01(X8),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X18))))) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X25),s__02(c_27type_2enum_2enum_27__00,X18)))
      & s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X25),s__02(c_27type_2easm_2ereg__imm_27__01(X8),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X8),X24))))) = s__02(cbool__00,cT__00) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','thm.wordLang.every_var_imm_def') ).

fof('HL_BOOL_CASES',axiom,
    ! [X1] :
      ( s__02(cbool__00,X1) = s__02(cbool__00,cT__00)
      | s__02(cbool__00,X1) = s__02(cbool__00,cF__00) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','HL_BOOL_CASES') ).

fof('HL_FALSITY',axiom,
    ~ p__01(s__02(cbool__00,cF__00)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','HL_FALSITY') ).

fof('thm.bool.EQ_CLAUSES',axiom,
    ! [X7] :
      ( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X7)
      <=> p__01(s__02(cbool__00,X7)) )
      & ( s__02(cbool__00,X7) = s__02(cbool__00,cT__00)
      <=> p__01(s__02(cbool__00,X7)) )
      & ( s__02(cbool__00,cF__00) = s__02(cbool__00,X7)
      <=> ~ p__01(s__02(cbool__00,X7)) )
      & ( s__02(cbool__00,X7) = s__02(cbool__00,cF__00)
      <=> ~ p__01(s__02(cbool__00,X7)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','thm.bool.EQ_CLAUSES') ).

fof('thm.wordProps.locals_rel_get_var',axiom,
    ! [X26,X8,X9,X29,X30,X18,X31] :
      ( ( p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X18),s__02(c_27type_2enum_2enum_27__00,X29))))
        & s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X18),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X8),X9)))
        & p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X29),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),X31)))) )
     => s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X18),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),X31))),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X8),X9))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','thm.wordProps.locals_rel_get_var') ).

fof('HL_TRUTH',axiom,
    p__01(s__02(cbool__00,cT__00)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','HL_TRUTH') ).

fof(c_0_9,negated_conjecture,
    ~ ! [X26,X8,X32] :
        ( ! [X29,X33] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X32),s__02(c_27type_2enum_2enum_27__00,X29))),s__02(c_27type_2enum_2enum_27__00,X33))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X33),s__02(c_27type_2enum_2enum_27__00,X29)))
       => ! [X29,X18,X30,X9,X31] :
            ( ( p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X32),s__02(c_27type_2enum_2enum_27__00,X29))),s__02(c_27type_2easm_2ereg__imm_27__01(X8),X18))))
              & s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X8),X18),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X8),X9)))
              & p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X29),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),X31)))) )
           => s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X8),X18),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),X31))),s__02(c_27type_2ewordSem_2estate_27__02(X8,X26),X30))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X8)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X8),X9))) ) ),
    inference(assume_negation,[status(cth)],[conjecture]) ).

fof(c_0_10,plain,
    ! [X29,X30,X31,X32,X29,X30,X33,X34] :
      ( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X30)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X30),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X31))),s__02(c_27type_2ewordSem_2estate_27__02(X30,X29),X32))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X30)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X31),s__02(c_27type_2ewordSem_2estate_27__02(X30,X29),X32)))
      & s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X30)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X30),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X30),X33))),s__02(c_27type_2ewordSem_2estate_27__02(X30,X29),X34))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X30)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X30),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X30),X33))))) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['thm.wordSem.get_var_imm_def'])])])]) ).

fof(c_0_11,plain,
    ! [X24,X25] :
      ( s__02(c_27type_2easm_2ereg__imm_27__01(X24),X25) = s__02(c_27type_2easm_2ereg__imm_27__01(X24),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,esk2_2(X24,X25))))
      | s__02(c_27type_2easm_2ereg__imm_27__01(X24),X25) = s__02(c_27type_2easm_2ereg__imm_27__01(X24),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X24),esk3_2(X24,X25)))) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['thm.asm.reg_imm_nchotomy'])])])]) ).

fof(c_0_12,negated_conjecture,
    ! [X37,X38] :
      ( s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),esk6_0),s__02(c_27type_2enum_2enum_27__00,X37))),s__02(c_27type_2enum_2enum_27__00,X38))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X38),s__02(c_27type_2enum_2enum_27__00,X37)))
      & p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),esk6_0),s__02(c_27type_2enum_2enum_27__00,esk7_0))),s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0))))
      & s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),esk10_0)))
      & p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,esk7_0),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),esk11_0))))
      & s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),esk11_0))),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),esk10_0))) ),
    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)],[c_0_9])])])])])]) ).

cnf(c_0_13,plain,
    s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),X2))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X3),X4))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),X2))))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( s__02(c_27type_2easm_2ereg__imm_27__01(X1),X2) = s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),esk3_2(X1,X2))))
    | s__02(c_27type_2easm_2ereg__imm_27__01(X1),X2) = s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,esk2_2(X1,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),esk11_0))),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),esk10_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X2),s__02(c_27type_2ewordSem_2estate_27__02(X1,X3),X4))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),esk3_2(X1,X2))))))
    | s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,esk2_2(X1,X2)))) = s__02(c_27type_2easm_2ereg__imm_27__01(X1),X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ( s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,esk2_2(esk5_0,esk8_0)))) = s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0)
    | s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,esk5_0),esk3_2(esk5_0,esk8_0)))))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),esk10_0))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

fof(c_0_18,plain,
    ! [X26,X28,X29,X26,X27,X29] :
      ( s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X29),s__02(c_27type_2easm_2ereg__imm_27__01(X26),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X28))))) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X29),s__02(c_27type_2enum_2enum_27__00,X28)))
      & s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X29),s__02(c_27type_2easm_2ereg__imm_27__01(X26),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X26),X27))))) = s__02(cbool__00,cT__00) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['thm.wordLang.every_var_imm_def'])])]) ).

cnf(c_0_19,negated_conjecture,
    ( s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,esk2_2(esk5_0,esk8_0)))) = s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0)
    | s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,X1),X2))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),esk10_0))) ),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),esk10_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_21,plain,
    ! [X2] :
      ( s__02(cbool__00,X2) = s__02(cbool__00,cT__00)
      | s__02(cbool__00,X2) = s__02(cbool__00,cF__00) ),
    inference(variable_rename,[status(thm)],['HL_BOOL_CASES']) ).

fof(c_0_22,plain,
    ~ p__01(s__02(cbool__00,cF__00)),
    inference(fof_simplification,[status(thm)],['HL_FALSITY']) ).

fof(c_0_23,plain,
    ! [X8,X8,X8,X8,X8,X8,X8,X8] :
      ( ( s__02(cbool__00,cT__00) != s__02(cbool__00,X8)
        | p__01(s__02(cbool__00,X8)) )
      & ( ~ p__01(s__02(cbool__00,X8))
        | s__02(cbool__00,cT__00) = s__02(cbool__00,X8) )
      & ( s__02(cbool__00,X8) != s__02(cbool__00,cT__00)
        | p__01(s__02(cbool__00,X8)) )
      & ( ~ p__01(s__02(cbool__00,X8))
        | s__02(cbool__00,X8) = s__02(cbool__00,cT__00) )
      & ( s__02(cbool__00,cF__00) != s__02(cbool__00,X8)
        | ~ p__01(s__02(cbool__00,X8)) )
      & ( p__01(s__02(cbool__00,X8))
        | s__02(cbool__00,cF__00) = s__02(cbool__00,X8) )
      & ( s__02(cbool__00,X8) != s__02(cbool__00,cF__00)
        | ~ p__01(s__02(cbool__00,X8)) )
      & ( p__01(s__02(cbool__00,X8))
        | s__02(cbool__00,X8) = s__02(cbool__00,cF__00) ) ),
    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)],['thm.bool.EQ_CLAUSES'])])])])]) ).

cnf(c_0_24,plain,
    s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X1),s__02(c_27type_2easm_2ereg__imm_27__01(X2),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X3))))) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X1),s__02(c_27type_2enum_2enum_27__00,X3))),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,esk2_2(esk5_0,esk8_0)))) = s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_26,plain,
    ! [X32,X33,X34,X35,X36,X37,X38] :
      ( ~ p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X37),s__02(c_27type_2enum_2enum_27__00,X35))))
      | s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X37),s__02(c_27type_2ewordSem_2estate_27__02(X33,X32),X36))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X33),X34)))
      | ~ p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X35),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X33,X32),X36))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33)),X38))))
      | s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X37),s__02(c_27type_2ewordSem_2estate_27__02(X33,X32),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33)),X38))),s__02(c_27type_2ewordSem_2estate_27__02(X33,X32),X36))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X33)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X33),X34))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.wordProps.locals_rel_get_var'])]) ).

cnf(c_0_27,negated_conjecture,
    p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,esk7_0),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),esk11_0)))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_28,plain,
    ( s__02(cbool__00,X1) = s__02(cbool__00,cF__00)
    | s__02(cbool__00,X1) = s__02(cbool__00,cT__00) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    ~ p__01(s__02(cbool__00,cF__00)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ( s__02(cbool__00,X1) = s__02(cbool__00,cT__00)
    | ~ p__01(s__02(cbool__00,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),esk6_0),s__02(c_27type_2enum_2enum_27__00,esk7_0))),s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0)))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_32,negated_conjecture,
    s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),esk6_0),s__02(c_27type_2enum_2enum_27__00,X1))),s__02(c_27type_2enum_2enum_27__00,X2))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,X1))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_33,negated_conjecture,
    s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X1),s__02(c_27type_2enum_2enum_27__00,esk2_2(esk5_0,esk8_0)))) = s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X1),s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_34,plain,
    ( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2ewordSem_2estate_27__02(X1,X3),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X4))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X3),X5))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X6)))
    | ~ p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X7),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X3),X5))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X4))))
    | s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2ewordSem_2estate_27__02(X1,X3),X5))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X6)))
    | ~ p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,X7)))) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,esk7_0),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),esk11_0))) = s__02(cbool__00,cT__00),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_36,plain,
    p__01(s__02(cbool__00,cT__00)),
    inference(split_conjunct,[status(thm)],['HL_TRUTH']) ).

cnf(c_0_37,plain,
    s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X3),X4))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2ewordSem_2estate_27__02(X1,X3),X4))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_38,negated_conjecture,
    s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),esk6_0),s__02(c_27type_2enum_2enum_27__00,esk7_0))),s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0))) = s__02(cbool__00,cT__00),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),esk6_0),s__02(c_27type_2enum_2enum_27__00,X1))),s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,esk2_2(esk5_0,esk8_0)),s__02(c_27type_2enum_2enum_27__00,X1))),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    ( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),esk11_0))),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),X2)))
    | s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),X2)))
    | ~ p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,esk7_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_41,negated_conjecture,
    s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,esk2_2(esk5_0,esk8_0)),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,X1),X2))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,X1),X2))),
    inference(spm,[status(thm)],[c_0_37,c_0_25]) ).

cnf(c_0_42,negated_conjecture,
    s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,esk2_2(esk5_0,esk8_0)),s__02(c_27type_2enum_2enum_27__00,esk7_0))) = s__02(cbool__00,cT__00),
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    ( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(esk5_0),esk8_0),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),esk11_0))),s__02(c_27type_2ewordSem_2estate_27__02(esk5_0,esk4_0),esk9_0))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),X1)))
    | s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),esk10_0))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(esk5_0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(esk5_0),X1))) ),
    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_40,c_0_41]),c_0_41]),c_0_20]),c_0_42]),c_0_36])]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_43]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW878+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun  4 19:59:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.25/1.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/1.42  # Preprocessing time       : 0.109 s
% 0.25/1.42  
% 0.25/1.42  # Proof found!
% 0.25/1.42  # SZS status Theorem
% 0.25/1.42  # SZS output start CNFRefutation
% See solution above
% 0.25/1.42  # Proof object total steps             : 45
% 0.25/1.42  # Proof object clause steps            : 27
% 0.25/1.42  # Proof object formula steps           : 18
% 0.25/1.42  # Proof object conjectures             : 20
% 0.25/1.42  # Proof object clause conjectures      : 17
% 0.25/1.42  # Proof object formula conjectures     : 3
% 0.25/1.42  # Proof object initial clauses used    : 14
% 0.25/1.42  # Proof object initial formulas used   : 9
% 0.25/1.42  # Proof object generating inferences   : 12
% 0.25/1.42  # Proof object simplifying inferences  : 10
% 0.25/1.42  # Training examples: 0 positive, 0 negative
% 0.25/1.42  # Parsed axioms                        : 35
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.42  # Initial clauses                      : 287
% 0.25/1.42  # Removed in clause preprocessing      : 224
% 0.25/1.42  # Initial clauses in saturation        : 63
% 0.25/1.42  # Processed clauses                    : 1602
% 0.25/1.42  # ...of these trivial                  : 24
% 0.25/1.42  # ...subsumed                          : 1308
% 0.25/1.42  # ...remaining for further processing  : 270
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 56
% 0.25/1.42  # Backward-rewritten                   : 17
% 0.25/1.42  # Generated clauses                    : 24154
% 0.25/1.42  # ...of the previous two non-trivial   : 19698
% 0.25/1.42  # Contextual simplify-reflections      : 989
% 0.25/1.42  # Paramodulations                      : 23652
% 0.25/1.42  # Factorizations                       : 437
% 0.25/1.42  # Equation resolutions                 : 65
% 0.25/1.42  # Current number of processed clauses  : 197
% 0.25/1.42  #    Positive orientable unit clauses  : 22
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 3
% 0.25/1.42  #    Non-unit-clauses                  : 172
% 0.25/1.42  # Current number of unprocessed clauses: 10689
% 0.25/1.42  # ...number of literals in the above   : 64635
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 73
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 27201
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 17039
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 2048
% 0.25/1.42  # Unit Clause-clause subsumption calls : 29
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 114
% 0.25/1.42  # BW rewrite match successes           : 7
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 1050412
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.871 s
% 0.25/1.42  # System time              : 0.009 s
% 0.25/1.42  # Total time               : 0.880 s
% 0.25/1.42  # Maximum resident set size: 16296 pages
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49  eprover: eprover: No such file or directory
% 0.25/23.49  Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------