TSTP Solution File: SWW900+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW900+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : Mon Jun 24 18:13:02 EDT 2024
% Result : Theorem 65.67s 8.80s
% Output : CNFRefutation 65.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 30 unt; 0 def)
% Number of atoms : 257 ( 185 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 253 ( 57 ~; 41 |; 134 &)
% ( 16 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 82 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 12 con; 0-3 aty)
% Number of variables : 249 ( 7 sgn 192 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('thm.bool.EQ_CLAUSES',axiom,
! [X8] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X8)
<=> p__01(s__02(cbool__00,X8)) )
& ( s__02(cbool__00,X8) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,X8)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X8)
<=> ~ p__01(s__02(cbool__00,X8)) )
& ( s__02(cbool__00,X8) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,X8)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.bool.EQ_CLAUSES') ).
fof(conjecture,conjecture,
! [X7,X20,X29,X18,X19,X21] :
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X21),s__02(c_27type_2elist_2elist_27__01(X7),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X7),X29),s__02(c_27type_2elist_2elist_27__01(X7),X18))),s__02(c_27type_2elist_2elist_27__01(X20),X19))))
=> ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X21),s__02(c_27type_2elist_2elist_27__01(X7),X29),s__02(c_27type_2elist_2elist_27__01(X20),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X29))),s__02(c_27type_2elist_2elist_27__01(X20),X19))))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X21),s__02(c_27type_2elist_2elist_27__01(X7),X18),s__02(c_27type_2elist_2elist_27__01(X20),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X29))),s__02(c_27type_2elist_2elist_27__01(X20),X19)))))) ) ),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p',conjecture) ).
fof('thm.rich_list.LIST_REL_APPEND_IMP',axiom,
! [X7,X20,X24,X25,X26,X27,X28] :
( ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X24),s__02(c_27type_2elist_2elist_27__01(X7),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X7),X25),s__02(c_27type_2elist_2elist_27__01(X7),X27))),s__02(c_27type_2elist_2elist_27__01(X20),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X20),X26),s__02(c_27type_2elist_2elist_27__01(X20),X28))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X25))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X20),X26))) )
=> ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X24),s__02(c_27type_2elist_2elist_27__01(X7),X25),s__02(c_27type_2elist_2elist_27__01(X20),X26))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X24),s__02(c_27type_2elist_2elist_27__01(X7),X27),s__02(c_27type_2elist_2elist_27__01(X20),X28)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.rich_list.LIST_REL_APPEND_IMP') ).
fof('thm.list.TAKE_DROP',axiom,
! [X7,X15,X23] : s__02(c_27type_2elist_2elist_27__01(X7),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X7),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2elist_2elist_27__01(X7),X23))),s__02(c_27type_2elist_2elist_27__01(X7),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2elist_2elist_27__01(X7),X23))))) = s__02(c_27type_2elist_2elist_27__01(X7),X23),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.list.TAKE_DROP') ).
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','HL_TRUTH') ).
fof('thm.list.LIST_REL_LENGTH',axiom,
! [X7,X20,X21,X9,X22] :
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X21),s__02(c_27type_2elist_2elist_27__01(X7),X9),s__02(c_27type_2elist_2elist_27__01(X20),X22))))
=> s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X9))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X20),X22))) ),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.list.LIST_REL_LENGTH') ).
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/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','HL_BOOL_CASES') ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','HL_FALSITY') ).
fof('thm.numeral.numeral_distrib',axiom,
( ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,X15)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X15)
& ! [X15,X16] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))))))
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15,X16] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))))
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X15)
& ! [X15,X16] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))))
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))
& ! [X15,X16] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))))
& ! [X15] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
<=> s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ! [X15] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))
<=> s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ! [X15,X16] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16)))
<=> s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,X16) )
& ! [X15] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cF__00)
& ! [X15] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15,X16] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(cbool__00,cF__00)
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15,X16] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(cbool__00,cT__00)
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))
& ! [X15,X16] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cT__00)
& ! [X15] :
( p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))))
<=> s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& ! [X15,X16] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))
& ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))))
& p__01(s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))) ),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.numeral.numeral_distrib') ).
fof('thm.arithmetic.ADD_MONO_LESS_EQ',axiom,
! [X16,X15,X17] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,X17))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X17))),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.arithmetic.ADD_MONO_LESS_EQ') ).
fof('thm.arithmetic.ADD_CLAUSES',axiom,
! [X15,X16] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X16))) = s__02(c_27type_2enum_2enum_27__00,X16)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X16)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X16))),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,X15)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,X15))))) ),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.arithmetic.ADD_CLAUSES') ).
fof('thm.list.LENGTH_TAKE',axiom,
! [X7,X15,X23] :
( p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X23))))))
=> s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2elist_2elist_27__01(X7),X23))))) = s__02(c_27type_2enum_2enum_27__00,X15) ),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.list.LENGTH_TAKE') ).
fof('thm.list.LENGTH_APPEND',axiom,
! [X7,X18,X19] : s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X7),X18),s__02(c_27type_2elist_2elist_27__01(X7),X19))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X18))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X19))))),
file('/export/starexec/sandbox/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p','thm.list.LENGTH_APPEND') ).
fof(c_0_13,plain,
! [X8] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X8)
<=> p__01(s__02(cbool__00,X8)) )
& ( s__02(cbool__00,X8) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,X8)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X8)
<=> ~ p__01(s__02(cbool__00,X8)) )
& ( s__02(cbool__00,X8) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,X8)) ) ),
inference(fof_simplification,[status(thm)],['thm.bool.EQ_CLAUSES']) ).
fof(c_0_14,negated_conjecture,
~ ! [X7,X20,X29,X18,X19,X21] :
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X21),s__02(c_27type_2elist_2elist_27__01(X7),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X7),X29),s__02(c_27type_2elist_2elist_27__01(X7),X18))),s__02(c_27type_2elist_2elist_27__01(X20),X19))))
=> ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X21),s__02(c_27type_2elist_2elist_27__01(X7),X29),s__02(c_27type_2elist_2elist_27__01(X20),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X29))),s__02(c_27type_2elist_2elist_27__01(X20),X19))))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X7,cfun__02(X20,cbool__00)),X21),s__02(c_27type_2elist_2elist_27__01(X7),X18),s__02(c_27type_2elist_2elist_27__01(X20),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X7),X29))),s__02(c_27type_2elist_2elist_27__01(X20),X19)))))) ) ),
inference(assume_negation,[status(cth)],[conjecture]) ).
fof(c_0_15,plain,
! [X65,X66,X67,X68,X69,X70,X71] :
( ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X65,cfun__02(X66,cbool__00)),X67),s__02(c_27type_2elist_2elist_27__01(X65),X68),s__02(c_27type_2elist_2elist_27__01(X66),X69))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X65,cfun__02(X66,cbool__00)),X67),s__02(c_27type_2elist_2elist_27__01(X65),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X65),X68),s__02(c_27type_2elist_2elist_27__01(X65),X70))),s__02(c_27type_2elist_2elist_27__01(X66),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X66),X69),s__02(c_27type_2elist_2elist_27__01(X66),X71))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X65),X68))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X66),X69))) )
& ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X65,cfun__02(X66,cbool__00)),X67),s__02(c_27type_2elist_2elist_27__01(X65),X70),s__02(c_27type_2elist_2elist_27__01(X66),X71))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X65,cfun__02(X66,cbool__00)),X67),s__02(c_27type_2elist_2elist_27__01(X65),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X65),X68),s__02(c_27type_2elist_2elist_27__01(X65),X70))),s__02(c_27type_2elist_2elist_27__01(X66),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X66),X69),s__02(c_27type_2elist_2elist_27__01(X66),X71))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X65),X68))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X66),X69))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.rich_list.LIST_REL_APPEND_IMP'])])])]) ).
fof(c_0_16,plain,
! [X72,X73,X74] : s__02(c_27type_2elist_2elist_27__01(X72),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X72),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X73),s__02(c_27type_2elist_2elist_27__01(X72),X74))),s__02(c_27type_2elist_2elist_27__01(X72),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X73),s__02(c_27type_2elist_2elist_27__01(X72),X74))))) = s__02(c_27type_2elist_2elist_27__01(X72),X74),
inference(variable_rename,[status(thm)],['thm.list.TAKE_DROP']) ).
fof(c_0_17,plain,
! [X38] :
( ( s__02(cbool__00,cT__00) != s__02(cbool__00,X38)
| p__01(s__02(cbool__00,X38)) )
& ( ~ p__01(s__02(cbool__00,X38))
| s__02(cbool__00,cT__00) = s__02(cbool__00,X38) )
& ( s__02(cbool__00,X38) != s__02(cbool__00,cT__00)
| p__01(s__02(cbool__00,X38)) )
& ( ~ p__01(s__02(cbool__00,X38))
| s__02(cbool__00,X38) = s__02(cbool__00,cT__00) )
& ( s__02(cbool__00,cF__00) != s__02(cbool__00,X38)
| ~ p__01(s__02(cbool__00,X38)) )
& ( p__01(s__02(cbool__00,X38))
| s__02(cbool__00,cF__00) = s__02(cbool__00,X38) )
& ( s__02(cbool__00,X38) != s__02(cbool__00,cF__00)
| ~ p__01(s__02(cbool__00,X38)) )
& ( p__01(s__02(cbool__00,X38))
| s__02(cbool__00,X38) = s__02(cbool__00,cF__00) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_18,negated_conjecture,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))
& ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0)))))) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_19,plain,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X6),s__02(c_27type_2elist_2elist_27__01(X1),X4))),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X2),X7),s__02(c_27type_2elist_2elist_27__01(X2),X5))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X6))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X7))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))) = s__02(c_27type_2elist_2elist_27__01(X1),X3),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,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_17]) ).
cnf(c_0_22,negated_conjecture,
p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0)))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2elist_2elist_27__01(X2),X6))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X7))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2elist_2elist_27__01(X2),X6)))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X7),s__02(c_27type_2elist_2elist_27__01(X1),X4))),s__02(c_27type_2elist_2elist_27__01(X2),X6)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))) = s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
p__01(s__02(cbool__00,cT__00)),
inference(split_conjunct,[status(thm)],['HL_TRUTH']) ).
fof(c_0_26,plain,
! [X60,X61,X62,X63,X64] :
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X60,cfun__02(X61,cbool__00)),X62),s__02(c_27type_2elist_2elist_27__01(X60),X63),s__02(c_27type_2elist_2elist_27__01(X61),X64))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X60),X63))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X61),X64))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.list.LIST_REL_LENGTH'])])]) ).
cnf(c_0_27,plain,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6))),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X2),X5),s__02(c_27type_2elist_2elist_27__01(X2),X7))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X5))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0)))))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,negated_conjecture,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_30,plain,
( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X5)))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X54] :
( s__02(cbool__00,X54) = s__02(cbool__00,cT__00)
| s__02(cbool__00,X54) = s__02(cbool__00,cF__00) ),
inference(variable_rename,[status(thm)],['HL_BOOL_CASES']) ).
fof(c_0_32,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(fof_simplification,[status(thm)],['HL_FALSITY']) ).
fof(c_0_33,plain,
( ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,X15)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X15)
& ! [X15,X16] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))))))
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15,X16] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))))
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X15)
& ! [X15,X16] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))))
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))
& ! [X15,X16] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X15] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))))
& ! [X15] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
<=> s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ! [X15] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))
<=> s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ! [X15,X16] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16)))
<=> s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,X16) )
& ! [X15] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cF__00)
& ! [X15] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15,X16] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(cbool__00,cF__00)
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15,X16] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) = s__02(cbool__00,cT__00)
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))
& ! [X15,X16] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cT__00)
& ! [X15] :
( p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))))
<=> s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& ! [X15,X16] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X16))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X16),s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))
& ! [X15] : s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X15))))) = s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,X15)))
& ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))))
& p__01(s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))) ),
inference(fof_simplification,[status(thm)],['thm.numeral.numeral_distrib']) ).
cnf(c_0_34,plain,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2elist_2elist_27__01(X2),X6))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2elist_2elist_27__01(X2),X6)))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X7))),s__02(c_27type_2elist_2elist_27__01(X2),X6)))) ),
inference(spm,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_35,negated_conjecture,
~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0)))))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_36,plain,
( s__02(cbool__00,X1) = s__02(cbool__00,cT__00)
| s__02(cbool__00,X1) = s__02(cbool__00,cF__00) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(fof_nnf,[status(thm)],[c_0_32]) ).
fof(c_0_38,plain,
! [X57,X58,X59] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X57),s__02(c_27type_2enum_2enum_27__00,X58))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X57),s__02(c_27type_2enum_2enum_27__00,X59))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X58),s__02(c_27type_2enum_2enum_27__00,X59))),
inference(variable_rename,[status(thm)],['thm.arithmetic.ADD_MONO_LESS_EQ']) ).
fof(c_0_39,plain,
! [X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X94))) = s__02(c_27type_2enum_2enum_27__00,X94)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X95),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X95)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X96))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X97))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X96),s__02(c_27type_2enum_2enum_27__00,X97)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X98))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,X99),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X100))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X101))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,X100),s__02(c_27type_2enum_2enum_27__00,X101)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X102))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X103),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X103)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X104))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X105))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X104),s__02(c_27type_2enum_2enum_27__00,X105)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,X106))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,X107))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,X108),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X109))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X110))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,X109),s__02(c_27type_2enum_2enum_27__00,X110)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X111))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X111)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X112))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,X112)))))
& ( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X113))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
| s__02(c_27type_2enum_2enum_27__00,X113) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ( s__02(c_27type_2enum_2enum_27__00,X113) != s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)
| s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X113))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& ( s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) != s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X114)))
| s__02(c_27type_2enum_2enum_27__00,X114) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ( s__02(c_27type_2enum_2enum_27__00,X114) != s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)
| s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X114))) )
& ( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X115))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X116)))
| s__02(c_27type_2enum_2enum_27__00,X115) = s__02(c_27type_2enum_2enum_27__00,X116) )
& ( s__02(c_27type_2enum_2enum_27__00,X115) != s__02(c_27type_2enum_2enum_27__00,X116)
| s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X115))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X116))) )
& s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X117),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cF__00)
& s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X118))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,X118)))
& s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X119))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X120))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X119),s__02(c_27type_2enum_2enum_27__00,X120)))
& s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X121))) = s__02(cbool__00,cF__00)
& s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X122))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,X122)))
& s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X123))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X124))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X124),s__02(c_27type_2enum_2enum_27__00,X123)))
& s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X125))) = s__02(cbool__00,cT__00)
& s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X126))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X126),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))
& s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X127))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X128))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X127),s__02(c_27type_2enum_2enum_27__00,X128)))
& s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X129),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cT__00)
& ( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X130))))
| s__02(c_27type_2enum_2enum_27__00,X130) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& ( s__02(c_27type_2enum_2enum_27__00,X130) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
| p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X130)))) )
& s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X131))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X132))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X132),s__02(c_27type_2enum_2enum_27__00,X131)))
& s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X133))))) = s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,X133)))
& s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X134))))) = s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,X134)))
& ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))))
& p__01(s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_40,plain,
! [X81,X82] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X82))) = s__02(c_27type_2enum_2enum_27__00,X82)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X82),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X82)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X82))),s__02(c_27type_2enum_2enum_27__00,X81))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X82),s__02(c_27type_2enum_2enum_27__00,X81)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X82),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X81))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X82),s__02(c_27type_2enum_2enum_27__00,X81))))) ),
inference(variable_rename,[status(thm)],['thm.arithmetic.ADD_CLAUSES']) ).
cnf(c_0_41,negated_conjecture,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_25])]) ).
cnf(c_0_42,negated_conjecture,
s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk1_0,cfun__02(esk2_0,cbool__00)),esk6_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))) = s__02(cbool__00,cF__00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_25])]) ).
cnf(c_0_43,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_44,plain,
! [X78,X79,X80] :
( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X79),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X78),X80))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X78),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X79),s__02(c_27type_2elist_2elist_27__01(X78),X80))))) = s__02(c_27type_2enum_2enum_27__00,X79) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.list.LENGTH_TAKE'])])]) ).
cnf(c_0_45,plain,
s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X3))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,X3))),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X1),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X1))) = s__02(cbool__00,cT__00),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_49,plain,
! [X75,X76,X77] : s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X75),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X75),X76),s__02(c_27type_2elist_2elist_27__01(X75),X77))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X75),X76))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X75),X77))))),
inference(variable_rename,[status(thm)],['thm.list.LENGTH_APPEND']) ).
cnf(c_0_50,negated_conjecture,
s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_51,plain,
( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X2),X3))))) = s__02(c_27type_2enum_2enum_27__00,X1)
| ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X3)))))) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))))) = s__02(cbool__00,cT__00),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).
cnf(c_0_53,plain,
s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X3))))),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0)))))),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
( s__02(cbool__00,X1) != s__02(cbool__00,cF__00)
| ~ p__01(s__02(cbool__00,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_56,plain,
s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))))) = s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0),s__02(c_27type_2elist_2elist_27__01(esk1_0),esk4_0))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_25])]) ).
cnf(c_0_58,negated_conjecture,
s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk1_0),esk3_0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))) = s__02(cbool__00,cF__00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_36]),c_0_25])]) ).
cnf(c_0_59,plain,
s__02(cbool__00,cT__00) != s__02(cbool__00,cF__00),
inference(spm,[status(thm)],[c_0_55,c_0_25]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW900+1 : TPTP v8.2.0. Released v7.3.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Jun 19 07:14:09 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.47 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/tmp/tmp.FjpMxhJUiu/E---3.1_17480.p
% 65.67/8.80 # Version: 3.2.0
% 65.67/8.80 # Preprocessing class: FSLSSMSSSSSNFFN.
% 65.67/8.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.67/8.80 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 65.67/8.80 # Starting new_bool_3 with 300s (1) cores
% 65.67/8.80 # Starting new_bool_1 with 300s (1) cores
% 65.67/8.80 # Starting sh5l with 300s (1) cores
% 65.67/8.80 # sh5l with pid 17561 completed with status 0
% 65.67/8.80 # Result found by sh5l
% 65.67/8.80 # Preprocessing class: FSLSSMSSSSSNFFN.
% 65.67/8.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.67/8.80 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 65.67/8.80 # Starting new_bool_3 with 300s (1) cores
% 65.67/8.80 # Starting new_bool_1 with 300s (1) cores
% 65.67/8.80 # Starting sh5l with 300s (1) cores
% 65.67/8.80 # SinE strategy is gf500_gu_R04_F100_L20000
% 65.67/8.80 # Search class: FGHSM-FFLM31-DFFFFFNN
% 65.67/8.80 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 65.67/8.80 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 70s (1) cores
% 65.67/8.80 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17564 completed with status 0
% 65.67/8.80 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 65.67/8.80 # Preprocessing class: FSLSSMSSSSSNFFN.
% 65.67/8.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.67/8.80 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 65.67/8.80 # Starting new_bool_3 with 300s (1) cores
% 65.67/8.80 # Starting new_bool_1 with 300s (1) cores
% 65.67/8.80 # Starting sh5l with 300s (1) cores
% 65.67/8.80 # SinE strategy is gf500_gu_R04_F100_L20000
% 65.67/8.80 # Search class: FGHSM-FFLM31-DFFFFFNN
% 65.67/8.80 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 65.67/8.80 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 70s (1) cores
% 65.67/8.80 # Preprocessing time : 0.002 s
% 65.67/8.80 # Presaturation interreduction done
% 65.67/8.80
% 65.67/8.80 # Proof found!
% 65.67/8.80 # SZS status Theorem
% 65.67/8.80 # SZS output start CNFRefutation
% See solution above
% 65.67/8.80 # Parsed axioms : 31
% 65.67/8.80 # Removed by relevancy pruning/SinE : 0
% 65.67/8.80 # Initial clauses : 118
% 65.67/8.80 # Removed in clause preprocessing : 23
% 65.67/8.80 # Initial clauses in saturation : 95
% 65.67/8.80 # Processed clauses : 53686
% 65.67/8.80 # ...of these trivial : 670
% 65.67/8.80 # ...subsumed : 51501
% 65.67/8.80 # ...remaining for further processing : 1515
% 65.67/8.80 # Other redundant clauses eliminated : 0
% 65.67/8.80 # Clauses deleted for lack of memory : 0
% 65.67/8.80 # Backward-subsumed : 226
% 65.67/8.80 # Backward-rewritten : 129
% 65.67/8.80 # Generated clauses : 465765
% 65.67/8.80 # ...of the previous two non-redundant : 371862
% 65.67/8.80 # ...aggressively subsumed : 0
% 65.67/8.80 # Contextual simplify-reflections : 5
% 65.67/8.80 # Paramodulations : 465533
% 65.67/8.80 # Factorizations : 110
% 65.67/8.80 # NegExts : 0
% 65.67/8.80 # Equation resolutions : 122
% 65.67/8.80 # Disequality decompositions : 0
% 65.67/8.80 # Total rewrite steps : 480876
% 65.67/8.80 # ...of those cached : 427743
% 65.67/8.80 # Propositional unsat checks : 0
% 65.67/8.80 # Propositional check models : 0
% 65.67/8.80 # Propositional check unsatisfiable : 0
% 65.67/8.80 # Propositional clauses : 0
% 65.67/8.80 # Propositional clauses after purity: 0
% 65.67/8.80 # Propositional unsat core size : 0
% 65.67/8.80 # Propositional preprocessing time : 0.000
% 65.67/8.80 # Propositional encoding time : 0.000
% 65.67/8.80 # Propositional solver time : 0.000
% 65.67/8.80 # Success case prop preproc time : 0.000
% 65.67/8.80 # Success case prop encoding time : 0.000
% 65.67/8.80 # Success case prop solver time : 0.000
% 65.67/8.80 # Current number of processed clauses : 1086
% 65.67/8.80 # Positive orientable unit clauses : 223
% 65.67/8.80 # Positive unorientable unit clauses: 23
% 65.67/8.80 # Negative unit clauses : 267
% 65.67/8.80 # Non-unit-clauses : 573
% 65.67/8.80 # Current number of unprocessed clauses: 311889
% 65.67/8.80 # ...number of literals in the above : 615910
% 65.67/8.80 # Current number of archived formulas : 0
% 65.67/8.80 # Current number of archived clauses : 429
% 65.67/8.80 # Clause-clause subsumption calls (NU) : 222296
% 65.67/8.80 # Rec. Clause-clause subsumption calls : 191865
% 65.67/8.80 # Non-unit clause-clause subsumptions : 14087
% 65.67/8.80 # Unit Clause-clause subsumption calls : 9366
% 65.67/8.80 # Rewrite failures with RHS unbound : 0
% 65.67/8.80 # BW rewrite match attempts : 14958
% 65.67/8.80 # BW rewrite match successes : 154
% 65.67/8.80 # Condensation attempts : 0
% 65.67/8.80 # Condensation successes : 0
% 65.67/8.80 # Termbank termtop insertions : 16180420
% 65.67/8.80 # Search garbage collected termcells : 771
% 65.67/8.80
% 65.67/8.80 # -------------------------------------------------
% 65.67/8.80 # User time : 7.872 s
% 65.67/8.80 # System time : 0.260 s
% 65.67/8.80 # Total time : 8.132 s
% 65.67/8.80 # Maximum resident set size: 2272 pages
% 65.67/8.80
% 65.67/8.80 # -------------------------------------------------
% 65.67/8.80 # User time : 7.877 s
% 65.67/8.80 # System time : 0.261 s
% 65.67/8.80 # Total time : 8.139 s
% 65.67/8.80 # Maximum resident set size: 1788 pages
% 65.67/8.80 % E---3.1 exiting
% 65.67/8.80 % E exiting
%------------------------------------------------------------------------------