%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW900+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:11:39 EDT 2022
% Result : Theorem 0.59s 53.77s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 26 unt; 0 def)
% Number of atoms : 177 ( 128 equ)
% Maximal formula atoms : 48 ( 3 avg)
% Number of connectives : 164 ( 38 ~; 31 |; 86 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 87 ( 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 : 210 ( 15 sgn 157 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','thm.list.TAKE_DROP') ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','HL_BOOL_CASES') ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','HL_FALSITY') ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','thm.list.LIST_REL_LENGTH') ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','thm.list.LENGTH_APPEND') ).
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','HL_TRUTH') ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','thm.arithmetic.ADD_MONO_LESS_EQ') ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','thm.list.LENGTH_TAKE') ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','thm.numeral.numeral_distrib') ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','thm.arithmetic.ADD_CLAUSES') ).
fof(c_0_12,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_13,plain,
! [X29,X30,X31,X32,X33,X34,X35] :
( ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X29,cfun__02(X30,cbool__00)),X31),s__02(c_27type_2elist_2elist_27__01(X29),X32),s__02(c_27type_2elist_2elist_27__01(X30),X33))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X29,cfun__02(X30,cbool__00)),X31),s__02(c_27type_2elist_2elist_27__01(X29),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X29),X32),s__02(c_27type_2elist_2elist_27__01(X29),X34))),s__02(c_27type_2elist_2elist_27__01(X30),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X30),X33),s__02(c_27type_2elist_2elist_27__01(X30),X35))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X29),X32))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X30),X33))) )
& ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X29,cfun__02(X30,cbool__00)),X31),s__02(c_27type_2elist_2elist_27__01(X29),X34),s__02(c_27type_2elist_2elist_27__01(X30),X35))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X29,cfun__02(X30,cbool__00)),X31),s__02(c_27type_2elist_2elist_27__01(X29),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X29),X32),s__02(c_27type_2elist_2elist_27__01(X29),X34))),s__02(c_27type_2elist_2elist_27__01(X30),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X30),X33),s__02(c_27type_2elist_2elist_27__01(X30),X35))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X29),X32))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X30),X33))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.rich_list.LIST_REL_APPEND_IMP'])])]) ).
fof(c_0_14,plain,
! [X24,X25,X26] : s__02(c_27type_2elist_2elist_27__01(X24),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X24),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X25),s__02(c_27type_2elist_2elist_27__01(X24),X26))),s__02(c_27type_2elist_2elist_27__01(X24),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X25),s__02(c_27type_2elist_2elist_27__01(X24),X26))))) = s__02(c_27type_2elist_2elist_27__01(X24),X26),
inference(variable_rename,[status(thm)],['thm.list.TAKE_DROP']) ).
fof(c_0_15,negated_conjecture,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))
& ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk3_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(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0),s__02(c_27type_2elist_2elist_27__01(esk3_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(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_16,plain,
! [X2] :
( s__02(cbool__00,X2) = s__02(cbool__00,cT__00)
| s__02(cbool__00,X2) = s__02(cbool__00,cF__00) ),
inference(variable_rename,[status(thm)],['HL_BOOL_CASES']) ).
fof(c_0_17,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(fof_simplification,[status(thm)],['HL_FALSITY']) ).
cnf(c_0_18,plain,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X3,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X1),X6),s__02(c_27type_2elist_2elist_27__01(X3),X7))))
| 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(X3),X4)))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X3,cbool__00)),X5),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),X6))),s__02(c_27type_2elist_2elist_27__01(X3),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X3),X4),s__02(c_27type_2elist_2elist_27__01(X3),X7)))))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,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_14]) ).
cnf(c_0_20,negated_conjecture,
p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( s__02(cbool__00,X1) = s__02(cbool__00,cF__00)
| s__02(cbool__00,X1) = s__02(cbool__00,cT__00) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X23,X24,X25,X26,X27] :
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X23,cfun__02(X24,cbool__00)),X25),s__02(c_27type_2elist_2elist_27__01(X23),X26),s__02(c_27type_2elist_2elist_27__01(X24),X27))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X23),X26))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X24),X27))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.list.LIST_REL_LENGTH'])]) ).
fof(c_0_24,plain,
! [X20,X21,X22] : s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X20),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X20),X21),s__02(c_27type_2elist_2elist_27__01(X20),X22))))) = 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(X20),X21))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X20),X22))))),
inference(variable_rename,[status(thm)],['thm.list.LENGTH_APPEND']) ).
cnf(c_0_25,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(pm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))) = s__02(cbool__00,cT__00),
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,plain,
p__01(s__02(cbool__00,cT__00)),
inference(split_conjunct,[status(thm)],['HL_TRUTH']) ).
cnf(c_0_28,plain,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X3,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X1),X2),s__02(c_27type_2elist_2elist_27__01(X3),X4))))
| 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(X3),X4)))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X3,cbool__00)),X5),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),X6))),s__02(c_27type_2elist_2elist_27__01(X3),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X3),X4),s__02(c_27type_2elist_2elist_27__01(X3),X7)))))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_29,plain,
! [X18,X19,X20] : 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,X18),s__02(c_27type_2enum_2enum_27__00,X19))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X18),s__02(c_27type_2enum_2enum_27__00,X20))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X19),s__02(c_27type_2enum_2enum_27__00,X20))),
inference(variable_rename,[status(thm)],['thm.arithmetic.ADD_MONO_LESS_EQ']) ).
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),X2))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X3),X4)))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X3,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X1),X2),s__02(c_27type_2elist_2elist_27__01(X3),X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,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_24]) ).
fof(c_0_32,plain,
! [X24,X25,X26] :
( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X25),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X24),X26))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X24),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X25),s__02(c_27type_2elist_2elist_27__01(X24),X26))))) = s__02(c_27type_2enum_2enum_27__00,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.list.LENGTH_TAKE'])]) ).
fof(c_0_33,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X36,X37,X37,X38,X39,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X53,X54,X55,X56,X57] :
( 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,X17))) = s__02(c_27type_2enum_2enum_27__00,X17)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X18),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X18)
& 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,X19))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X20))))) = 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,X19),s__02(c_27type_2enum_2enum_27__00,X20)))))))
& 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,X21))) = 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,X22),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,X23))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X24))))) = 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,X23),s__02(c_27type_2enum_2enum_27__00,X24)))))
& 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,X25))) = 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,X26),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X26)
& 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,X27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X28))))) = 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,X27),s__02(c_27type_2enum_2enum_27__00,X28)))))
& 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,X29))))))) = 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,X30))))))) = 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,X31),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,X32))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X33))))) = 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,X32),s__02(c_27type_2enum_2enum_27__00,X33)))))
& 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,X34))))) = 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,X34)))))
& 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,X35))))) = 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,X35)))))
& ( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X36))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
| s__02(c_27type_2enum_2enum_27__00,X36) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ( s__02(c_27type_2enum_2enum_27__00,X36) != 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,X36))) = 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,X37)))
| s__02(c_27type_2enum_2enum_27__00,X37) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ( s__02(c_27type_2enum_2enum_27__00,X37) != 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,X37))) )
& ( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X38))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X39)))
| s__02(c_27type_2enum_2enum_27__00,X38) = s__02(c_27type_2enum_2enum_27__00,X39) )
& ( s__02(c_27type_2enum_2enum_27__00,X38) != s__02(c_27type_2enum_2enum_27__00,X39)
| s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X38))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X39))) )
& s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X40),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,X41))))) = 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,X41)))
& 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,X42))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X43))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X42),s__02(c_27type_2enum_2enum_27__00,X43)))
& 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,X44))) = 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,X45))),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,X45)))
& 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,X46))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X47))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X47),s__02(c_27type_2enum_2enum_27__00,X46)))
& 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,X48))) = 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,X49))),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,X49),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,X50))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X51))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X50),s__02(c_27type_2enum_2enum_27__00,X51)))
& s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X52),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,X53))))
| s__02(c_27type_2enum_2enum_27__00,X53) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& ( s__02(c_27type_2enum_2enum_27__00,X53) != 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,X53)))) )
& 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,X54))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X55))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X55),s__02(c_27type_2enum_2enum_27__00,X54)))
& 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,X56))))) = s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,X56)))
& 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,X57))))) = s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,X57)))
& ~ 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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['thm.numeral.numeral_distrib'])])])])])]) ).
cnf(c_0_34,negated_conjecture,
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0),s__02(c_27type_2elist_2elist_27__01(esk3_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(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk3_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(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,negated_conjecture,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_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),esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_36,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(pm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_37,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_29]) ).
cnf(c_0_38,negated_conjecture,
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(esk2_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))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_26]),c_0_31]),c_0_27])]) ).
cnf(c_0_39,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_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_2enum_2enum_27__00,X2)
| ~ p__01(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,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X3)))))) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,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_33]) ).
cnf(c_0_41,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_33]) ).
fof(c_0_42,plain,
! [X18,X18,X17,X18,X17,X18] :
( 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,X18))) = s__02(c_27type_2enum_2enum_27__00,X18)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X18),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X18)
& 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,X18))),s__02(c_27type_2enum_2enum_27__00,X17))) = 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,X18),s__02(c_27type_2enum_2enum_27__00,X17)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X18),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X17))))) = 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,X18),s__02(c_27type_2enum_2enum_27__00,X17))))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['thm.arithmetic.ADD_CLAUSES'])])]) ).
cnf(c_0_43,negated_conjecture,
~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk3_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(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))))),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_35]),c_0_30]) ).
cnf(c_0_44,negated_conjecture,
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_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),esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_26]),c_0_27])]) ).
cnf(c_0_45,negated_conjecture,
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,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),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(esk3_0),esk6_0))))) = 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(esk2_0),esk5_0))))),
inference(pm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,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_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2elist_2elist_27__01(X1),X2))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_40]),c_0_40]),c_0_40]),c_0_41]),c_0_27])]) ).
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_42]) ).
cnf(c_0_48,negated_conjecture,
s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_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(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_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),esk4_0))),
inference(pm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,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(esk2_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(esk3_0),esk6_0))))) = s__02(cbool__00,cT__00),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_46]),c_0_41]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_48,c_0_39]),c_0_49]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW900+1 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 11:41:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.43 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.39/23.43
% 0.39/23.43 eprover: CPU time limit exceeded, terminating
% 0.54/46.44 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.54/46.44
% 0.54/46.45 eprover: CPU time limit exceeded, terminating
% 0.54/46.47 eprover: CPU time limit exceeded, terminating
% 0.59/53.77 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.59/53.77
% 0.59/53.77 # Failure: Resource limit exceeded (time)
% 0.59/53.77 # OLD status Res
% 0.59/53.77 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.59/53.77 # Preprocessing time : 0.019 s
% 0.59/53.77 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.59/53.77
% 0.59/53.77 # Failure: Resource limit exceeded (time)
% 0.59/53.77 # OLD status Res
% 0.59/53.77 # Preprocessing time : 0.046 s
% 0.59/53.77 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 0.59/53.77 # Preprocessing time : 0.011 s
% 0.59/53.77
% 0.59/53.77 # Proof found!
% 0.59/53.77 # SZS status Theorem
% 0.59/53.77 # SZS output start CNFRefutation
% See solution above
% 0.59/53.77 # Proof object total steps : 51
% 0.59/53.77 # Proof object clause steps : 27
% 0.59/53.77 # Proof object formula steps : 24
% 0.59/53.77 # Proof object conjectures : 14
% 0.59/53.77 # Proof object clause conjectures : 11
% 0.59/53.77 # Proof object formula conjectures : 3
% 0.59/53.77 # Proof object initial clauses used : 15
% 0.59/53.77 # Proof object initial formulas used : 12
% 0.59/53.77 # Proof object generating inferences : 12
% 0.59/53.77 # Proof object simplifying inferences : 20
% 0.59/53.77 # Training examples: 0 positive, 0 negative
% 0.59/53.77 # Parsed axioms : 31
% 0.59/53.77 # Removed by relevancy pruning/SinE : 0
% 0.59/53.77 # Initial clauses : 112
% 0.59/53.77 # Removed in clause preprocessing : 17
% 0.59/53.77 # Initial clauses in saturation : 95
% 0.59/53.77 # Processed clauses : 6785
% 0.59/53.77 # ...of these trivial : 198
% 0.59/53.77 # ...subsumed : 5670
% 0.59/53.77 # ...remaining for further processing : 917
% 0.59/53.77 # Other redundant clauses eliminated : 0
% 0.59/53.77 # Clauses deleted for lack of memory : 172517
% 0.59/53.77 # Backward-subsumed : 25
% 0.59/53.77 # Backward-rewritten : 144
% 0.59/53.77 # Generated clauses : 332585
% 0.59/53.77 # ...of the previous two non-trivial : 308230
% 0.59/53.77 # Contextual simplify-reflections : 1286
% 0.59/53.77 # Paramodulations : 332070
% 0.59/53.77 # Factorizations : 359
% 0.59/53.77 # Equation resolutions : 123
% 0.59/53.77 # Current number of processed clauses : 729
% 0.59/53.77 # Positive orientable unit clauses : 108
% 0.59/53.77 # Positive unorientable unit clauses: 17
% 0.59/53.77 # Negative unit clauses : 53
% 0.59/53.77 # Non-unit-clauses : 551
% 0.59/53.77 # Current number of unprocessed clauses: 96381
% 0.59/53.77 # ...number of literals in the above : 309198
% 0.59/53.77 # Current number of archived formulas : 0
% 0.59/53.77 # Current number of archived clauses : 169
% 0.59/53.77 # Clause-clause subsumption calls (NU) : 150653
% 0.59/53.77 # Rec. Clause-clause subsumption calls : 99006
% 0.59/53.77 # Non-unit clause-clause subsumptions : 4803
% 0.59/53.77 # Unit Clause-clause subsumption calls : 4402
% 0.59/53.77 # Rewrite failures with RHS unbound : 0
% 0.59/53.77 # BW rewrite match attempts : 8567
% 0.59/53.77 # BW rewrite match successes : 99
% 0.59/53.77 # Condensation attempts : 0
% 0.59/53.77 # Condensation successes : 0
% 0.59/53.77 # Termbank termtop insertions : 19114748
% 0.59/53.77
% 0.59/53.77 # -------------------------------------------------
% 0.59/53.77 # User time : 6.859 s
% 0.59/53.77 # System time : 0.122 s
% 0.59/53.77 # Total time : 6.981 s
% 0.59/53.77 # Maximum resident set size: 159396 pages
%------------------------------------------------------------------------------