%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW878+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:11:21 PM UTC 2026
% Result : Theorem 8.73s 1.67s
% Output : CNFRefutation 8.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 18 unt; 0 def)
% Number of atoms : 104 ( 69 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 91 ( 27 ~; 24 |; 27 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 101 ( 7 sgn 63 !; 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_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),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_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),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/benchmark/theBenchmark.p',conjecture) ).
fof('thm.wordSem.get_var_imm_def',axiom,
! [X26,X8] :
( ! [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)))))
& ! [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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.wordSem.get_var_imm_def') ).
fof('thm.asm.reg_imm_nchotomy',axiom,
! [X8,X21] :
( ? [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)))
| ? [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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.asm.reg_imm_nchotomy') ).
fof('thm.bool.EQ_CLAUSES',axiom,
! [X7] :
( ( s__02(cbool__00,X7) = s__02(cbool__00,cF__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,cT__00)
<=> p__01(s__02(cbool__00,X7)) )
& ( s__02(cbool__00,cT__00) = s__02(cbool__00,X7)
<=> p__01(s__02(cbool__00,X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.bool.EQ_CLAUSES') ).
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_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X8),X24))))) = s__02(cbool__00,cT__00)
& 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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.wordLang.every_var_imm_def') ).
fof('thm.wordProps.locals_rel_get_var',axiom,
! [X26,X8,X9,X29,X30,X18,X31] :
( ( 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),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_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),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/benchmark/theBenchmark.p','thm.wordProps.locals_rel_get_var') ).
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','HL_TRUTH') ).
fof(c_0_7,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_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),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_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),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_8,plain,
! [X96,X97,X98,X99,X100,X101] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X97)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X97),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X97),X100))),s__02(c_27type_2ewordSem_2estate_27__02(X97,X96),X101))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X97)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X97),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X97),X100)))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X97)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X97),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X98))),s__02(c_27type_2ewordSem_2estate_27__02(X97,X96),X99))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X97)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X98),s__02(c_27type_2ewordSem_2estate_27__02(X97,X96),X99))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['thm.wordSem.get_var_imm_def'])]) ).
fof(c_0_9,plain,
! [X88,X89] :
( s__02(c_27type_2easm_2ereg__imm_27__01(X88),X89) = s__02(c_27type_2easm_2ereg__imm_27__01(X88),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X88),esk3_2(X88,X89))))
| s__02(c_27type_2easm_2ereg__imm_27__01(X88),X89) = s__02(c_27type_2easm_2ereg__imm_27__01(X88),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,esk2_2(X88,X89)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['thm.asm.reg_imm_nchotomy'])]) ).
fof(c_0_10,negated_conjecture,
! [X112,X113] :
( 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)))
& 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),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_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,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,X112))),s__02(c_27type_2enum_2enum_27__00,X113))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X113),s__02(c_27type_2enum_2enum_27__00,X112))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
cnf(c_0_11,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_8]) ).
cnf(c_0_12,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_9]) ).
cnf(c_0_13,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_10]) ).
cnf(c_0_14,plain,
( 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)
| 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)))))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
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_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)))
| 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_13,c_0_14]) ).
fof(c_0_16,plain,
! [X7] :
( ( s__02(cbool__00,X7) = s__02(cbool__00,cF__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,cT__00)
<=> p__01(s__02(cbool__00,X7)) )
& ( s__02(cbool__00,cT__00) = s__02(cbool__00,X7)
<=> p__01(s__02(cbool__00,X7)) ) ),
inference(fof_simplification,[status(thm)],['thm.bool.EQ_CLAUSES']) ).
fof(c_0_17,plain,
! [X92,X93,X94,X95] :
( s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X95),s__02(c_27type_2easm_2ereg__imm_27__01(X92),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X92),X93))))) = s__02(cbool__00,cT__00)
& s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X95),s__02(c_27type_2easm_2ereg__imm_27__01(X92),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X94))))) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X95),s__02(c_27type_2enum_2enum_27__00,X94))) ),
inference(variable_rename,[status(thm)],['thm.wordLang.every_var_imm_def']) ).
cnf(c_0_18,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,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)))
| 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_15,c_0_14]) ).
cnf(c_0_19,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_10]) ).
fof(c_0_20,plain,
! [X49] :
( ( s__02(cbool__00,X49) = s__02(cbool__00,cF__00)
| p__01(s__02(cbool__00,X49)) )
& ( ~ p__01(s__02(cbool__00,X49))
| s__02(cbool__00,X49) != s__02(cbool__00,cF__00) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X49)
| p__01(s__02(cbool__00,X49)) )
& ( ~ p__01(s__02(cbool__00,X49))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X49) )
& ( s__02(cbool__00,X49) = s__02(cbool__00,cT__00)
| ~ p__01(s__02(cbool__00,X49)) )
& ( p__01(s__02(cbool__00,X49))
| s__02(cbool__00,X49) != s__02(cbool__00,cT__00) )
& ( s__02(cbool__00,cT__00) = s__02(cbool__00,X49)
| ~ p__01(s__02(cbool__00,X49)) )
& ( p__01(s__02(cbool__00,X49))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X49) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_21,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_17]) ).
cnf(c_0_22,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_18,c_0_19]) ).
fof(c_0_23,plain,
! [X102,X103,X104,X105,X106,X107,X108] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X103)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X107),s__02(c_27type_2ewordSem_2estate_27__02(X103,X102),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(X103)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X103))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X103)),X108))),s__02(c_27type_2ewordSem_2estate_27__02(X103,X102),X106))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X103)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X103),X104)))
| ~ p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X105),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X103)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X103,X102),X106))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X103)),X108))))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X103)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X107),s__02(c_27type_2ewordSem_2estate_27__02(X103,X102),X106))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X103)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X103),X104)))
| ~ p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X107),s__02(c_27type_2enum_2enum_27__00,X105)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.wordProps.locals_rel_get_var'])])]) ).
cnf(c_0_24,plain,
( ~ p__01(s__02(cbool__00,X1))
| s__02(cbool__00,X1) = s__02(cbool__00,cT__00) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,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_10]) ).
cnf(c_0_26,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_10]) ).
cnf(c_0_27,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_10]) ).
cnf(c_0_28,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_21,c_0_22]) ).
cnf(c_0_29,plain,
( ~ p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X3)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X3,X4),X5))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X3)),X7))))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X3)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2ewordSem_2estate_27__02(X3,X4),X5))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X3)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X3),X6)))
| ~ 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,X2))))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X3)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2ewordSem_2estate_27__02(X3,X4),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(X3)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X3))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X3)),X7))),s__02(c_27type_2ewordSem_2estate_27__02(X3,X4),X5))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X3)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X3),X6))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,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(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
p__01(s__02(cbool__00,cT__00)),
inference(split_conjunct,[status(thm)],['HL_TRUTH']) ).
cnf(c_0_32,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_24,c_0_26]) ).
cnf(c_0_33,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_27,c_0_28]) ).
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__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_8]) ).
cnf(c_0_35,negated_conjecture,
( ~ 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))))
| 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)))
| 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))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_36,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_32,c_0_33]) ).
cnf(c_0_37,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_34,c_0_22]) ).
cnf(c_0_38,negated_conjecture,
( 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)))
| 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))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_31])]),c_0_37]),c_0_37]),c_0_19]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_38]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW878+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 10:15:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.73/1.67 % Version: 3.5.1
% 8.73/1.67 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.73/1.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.73/1.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.73/1.67 % Starting new_bool_3 with 300s (1) cores
% 8.73/1.67 % Starting new_bool_1 with 300s (1) cores
% 8.73/1.67 % Starting sh5l with 300s (1) cores
% 8.73/1.67 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2607143 completed with status 0
% 8.73/1.67 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 8.73/1.67 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.73/1.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.73/1.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.73/1.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.73/1.67 % No SInE strategy applied
% 8.73/1.67 % Search class: FGHSM-FFMM31-DFFFFFNN
% 8.73/1.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.73/1.67 % Starting SubtermCWHack with 136s (1) cores
% 8.73/1.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 8.73/1.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 226s (1) cores
% 8.73/1.67 % Starting new_bool_3 with 226s (1) cores
% 8.73/1.67 % Starting new_bool_1 with 226s (1) cores
% 8.73/1.67 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2607150 completed with status 0
% 8.73/1.67 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.73/1.67 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.73/1.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.73/1.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.73/1.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.73/1.67 % No SInE strategy applied
% 8.73/1.67 % Search class: FGHSM-FFMM31-DFFFFFNN
% 8.73/1.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.73/1.67 % Starting SubtermCWHack with 136s (1) cores
% 8.73/1.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 8.73/1.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 226s (1) cores
% 8.73/1.67 % Preprocessing time : 0.002 s
% 8.73/1.67 % Presaturation interreduction done
% 8.73/1.67
% 8.73/1.67 % Proof found!
% 8.73/1.67 % SZS status Theorem
% 8.73/1.67 % SZS output start CNFRefutation
% See solution above
% 8.73/1.67 % Parsed axioms : 35
% 8.73/1.67 % Removed by relevancy pruning/SinE : 0
% 8.73/1.67 % Initial clauses : 287
% 8.73/1.67 % Removed in clause preprocessing : 224
% 8.73/1.67 % Initial clauses in saturation : 63
% 8.73/1.67 % Processed clauses : 2445
% 8.73/1.67 % ...of these trivial : 21
% 8.73/1.67 % ...subsumed : 2163
% 8.73/1.67 % ...remaining for further processing : 261
% 8.73/1.67 % Other redundant clauses eliminated : 0
% 8.73/1.67 % Clauses deleted for lack of memory : 0
% 8.73/1.67 % Backward-subsumed : 11
% 8.73/1.67 % Backward-rewritten : 7
% 8.73/1.67 % Generated clauses : 24894
% 8.73/1.67 % ...of the previous two non-redundant : 22842
% 8.73/1.67 % ...aggressively subsumed : 0
% 8.73/1.67 % Contextual simplify-reflections : 3
% 8.73/1.67 % Paramodulations : 24465
% 8.73/1.67 % Factorizations : 356
% 8.73/1.67 % NegExts : 0
% 8.73/1.67 % Equation resolutions : 73
% 8.73/1.67 % Disequality decompositions : 0
% 8.73/1.67 % Total rewrite steps : 2482
% 8.73/1.67 % ...of those cached : 2451
% 8.73/1.67 % Propositional unsat checks : 0
% 8.73/1.67 % Propositional check models : 0
% 8.73/1.67 % Propositional check unsatisfiable : 0
% 8.73/1.67 % Propositional clauses : 0
% 8.73/1.67 % Propositional clauses after purity: 0
% 8.73/1.67 % Propositional unsat core size : 0
% 8.73/1.67 % Propositional preprocessing time : 0.000
% 8.73/1.67 % Propositional encoding time : 0.000
% 8.73/1.67 % Propositional solver time : 0.000
% 8.73/1.67 % Success case prop preproc time : 0.000
% 8.73/1.67 % Success case prop encoding time : 0.000
% 8.73/1.67 % Success case prop solver time : 0.000
% 8.73/1.67 % Current number of processed clauses : 211
% 8.73/1.67 % Positive orientable unit clauses : 13
% 8.73/1.67 % Positive unorientable unit clauses: 0
% 8.73/1.67 % Negative unit clauses : 3
% 8.73/1.67 % Non-unit-clauses : 195
% 8.73/1.67 % Current number of unprocessed clauses: 20344
% 8.73/1.67 % ...number of literals in the above : 145582
% 8.73/1.67 % Current number of archived formulas : 0
% 8.73/1.67 % Current number of archived clauses : 50
% 8.73/1.67 % Clause-clause subsumption calls (NU) : 29839
% 8.73/1.67 % Rec. Clause-clause subsumption calls : 11516
% 8.73/1.67 % Non-unit clause-clause subsumptions : 2013
% 8.73/1.67 % Unit Clause-clause subsumption calls : 5
% 8.73/1.67 % Rewrite failures with RHS unbound : 0
% 8.73/1.67 % BW rewrite match attempts : 41
% 8.73/1.67 % BW rewrite match successes : 4
% 8.73/1.67 % Condensation attempts : 0
% 8.73/1.67 % Condensation successes : 0
% 8.73/1.67 % Termbank termtop insertions : 709696
% 8.73/1.67 % Search garbage collected termcells : 1984
% 8.73/1.67
% 8.73/1.67 % -------------------------------------------------
% 8.73/1.67 % User time : 1.132 s
% 8.73/1.67 % System time : 0.026 s
% 8.73/1.67 % Total time : 1.158 s
% 8.73/1.67 % Maximum resident set size: 4220 pages
% 8.73/1.67
% 8.73/1.67 % -------------------------------------------------
% 8.73/1.67 % User time : 5.413 s
% 8.73/1.67 % System time : 0.140 s
% 8.73/1.67 % Total time : 5.553 s
% 8.73/1.67 % Maximum resident set size: 4864 pages
% 8.73/1.67 % E exiting
%------------------------------------------------------------------------------