TSTP Solution File: SWW878+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW878+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : 300s
% DateTime : Fri Sep 1 00:19:08 EDT 2023
% Result : Theorem 0.91s 0.98s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 45
% Syntax : Number of formulae : 78 ( 18 unt; 38 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 45 ( 26 >; 19 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 12 con; 0-4 aty)
% Number of variables : 101 ( 7 sgn; 63 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cbool__00: $i ).
tff(decl_23,type,
cT__00: $i ).
tff(decl_24,type,
s__02: ( $i * $i ) > $i ).
tff(decl_25,type,
p__01: $i > $o ).
tff(decl_26,type,
cF__00: $i ).
tff(decl_27,type,
cfun__02: ( $i * $i ) > $i ).
tff(decl_28,type,
chapp__02: ( $i * $i ) > $i ).
tff(decl_29,type,
c_27type_2eoption_2eoption_27__01: $i > $i ).
tff(decl_30,type,
c_27const_2eoption_2eSOME_27__01: $i > $i ).
tff(decl_31,type,
c_27type_2easm_2ereg__imm_27__01: $i > $i ).
tff(decl_32,type,
c_27type_2enum_2enum_27__00: $i ).
tff(decl_33,type,
c_27const_2easm_2eReg_27__01: $i > $i ).
tff(decl_34,type,
c_27type_2efcp_2ecart_27__02: ( $i * $i ) > $i ).
tff(decl_35,type,
c_27const_2easm_2eImm_27__01: $i > $i ).
tff(decl_36,type,
c_27const_2ewordLang_2eevery__var__imm_27__02: ( $i * $i ) > $i ).
tff(decl_37,type,
c_27type_2ewordSem_2eword__loc_27__01: $i > $i ).
tff(decl_38,type,
c_27type_2ewordSem_2estate_27__02: ( $i * $i ) > $i ).
tff(decl_39,type,
c_27const_2ewordSem_2eget__var__imm_27__02: ( $i * $i ) > $i ).
tff(decl_40,type,
c_27const_2ewordSem_2eget__var_27__02: ( $i * $i ) > $i ).
tff(decl_41,type,
c_27const_2ewordSem_2eWord_27__01: $i > $i ).
tff(decl_42,type,
c_27const_2eprim__rec_2e_3c_27__02: ( $i * $i ) > $i ).
tff(decl_43,type,
c_27type_2esptree_2espt_27__01: $i > $i ).
tff(decl_44,type,
c_27const_2ewordSem_2estate__locals_27__01: $i > $i ).
tff(decl_45,type,
c_27const_2ewordProps_2elocals__rel_27__03: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
c_27const_2ecombin_2eK_27__01: $i > $i ).
tff(decl_47,type,
c_27const_2ewordSem_2estate__locals__fupd_27__02: ( $i * $i ) > $i ).
tff(decl_48,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk4_0: $i ).
tff(decl_53,type,
esk5_0: $i ).
tff(decl_54,type,
esk6_0: $i ).
tff(decl_55,type,
esk7_0: $i ).
tff(decl_56,type,
esk8_0: $i ).
tff(decl_57,type,
esk9_0: $i ).
tff(decl_58,type,
esk10_0: $i ).
tff(decl_59,type,
esk11_0: $i ).
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/benchmark/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/benchmark/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/benchmark/theBenchmark.p','thm.asm.reg_imm_nchotomy') ).
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/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_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/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_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/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_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_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_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)))
& 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))))) ),
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_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,esk2_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_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X88),esk3_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(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)))
& 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(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_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_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)))) ),
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_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_11,c_0_12]) ).
cnf(c_0_15,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_13,c_0_14]) ).
fof(c_0_16,plain,
! [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)) ) ),
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_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)))
& 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) ),
inference(variable_rename,[status(thm)],['thm.wordLang.every_var_imm_def']) ).
cnf(c_0_18,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_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,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) )
& ( 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,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,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) ) ),
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] :
( ~ 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))))
| 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_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),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))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.wordProps.locals_rel_get_var'])]) ).
cnf(c_0_24,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_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,
( 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)))
| ~ 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),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_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)))) ),
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,
( 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_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_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(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
% 0.00/0.12 % Problem : SWW878+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n014.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 : 300
% 0.13/0.34 % DateTime : Sun Aug 27 18:53:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.53 start to proof: theBenchmark
% 0.91/0.98 % Version : CSE_E---1.5
% 0.91/0.98 % Problem : theBenchmark.p
% 0.91/0.98 % Proof found
% 0.91/0.98 % SZS status Theorem for theBenchmark.p
% 0.91/0.98 % SZS output start Proof
% See solution above
% 0.91/0.99 % Total time : 0.439000 s
% 0.91/0.99 % SZS output end Proof
% 0.91/0.99 % Total time : 0.444000 s
%------------------------------------------------------------------------------