%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW900+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:38:00 PM UTC 2026
% Result : Theorem 5.64s 1.31s
% Output : Refutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 55 ( 22 unt; 2 def)
% Number of atoms : 226 ( 150 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 215 ( 44 ~; 37 |; 118 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 12 con; 0-3 aty)
% Number of variables : 245 ( 0 sgn 239 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( s__02(X0,X1) = s__02(X0,X1)
<=> p__01(s__02(cbool__00,cT__00)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.bool.REFL_CLAUSE') ).
fof(f21,axiom,
! [X0,X1,X2] : 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,X0),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,X0),s__02(c_27type_2enum_2enum_27__00,X2))))) = 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,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.arithmetic.ADD_MONO_LESS_EQ') ).
fof(f24,axiom,
( ! [X0] : 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,X0))) = s__02(c_27type_2enum_2enum_27__00,X0)
& ! [X0] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X0)
& ! [X0,X1] : 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,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1))))) = 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,X0),s__02(c_27type_2enum_2enum_27__00,X1)))))))
& ! [X0] : 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,X0))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X0] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,X0),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)
& ! [X0,X1] : 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,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1))))) = 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,X0),s__02(c_27type_2enum_2enum_27__00,X1)))))
& ! [X0] : 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,X0))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X0] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X0)
& ! [X0,X1] : 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,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1))))) = 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,X0),s__02(c_27type_2enum_2enum_27__00,X1)))))
& ! [X0] : 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,X0))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X0] : 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,X0))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [X0] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,X0),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)))))
& ! [X0,X1] : 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,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1))))) = 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,X0),s__02(c_27type_2enum_2enum_27__00,X1)))))
& 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)))))
& ! [X0] : 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,X0))))) = 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,X0)))))
& 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)
& ! [X0] : 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,X0))))) = 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,X0)))))
& ! [X0] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X0))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
<=> s__02(c_27type_2enum_2enum_27__00,X0) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ! [X0] :
( 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,X0)))
<=> s__02(c_27type_2enum_2enum_27__00,X0) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ! [X0,X1] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X0))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1)))
<=> s__02(c_27type_2enum_2enum_27__00,X0) = s__02(c_27type_2enum_2enum_27__00,X1) )
& ! [X0] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cF__00)
& ! [X0] : 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,X0))))) = 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,X0)))
& ! [X0,X1] : 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,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,X1)))
& ! [X0] : 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,X0))) = s__02(cbool__00,cF__00)
& ! [X0] : 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,X0))),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,X0)))
& ! [X0,X1] : 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,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X0)))
& ! [X0] : 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,X0))) = s__02(cbool__00,cT__00)
& ! [X0] : 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,X0))),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,X0),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))
& ! [X0,X1] : 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,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,X1)))
& ! [X0] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cT__00)
& ! [X0] :
( 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,X0))))
<=> s__02(c_27type_2enum_2enum_27__00,X0) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& ! [X0,X1] : 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,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X1))))) = 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,X0)))
& ! [X0] : 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,X0))))) = s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,X0)))
& ! [X0] : 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,X0))))) = s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,X0)))
& ~ 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/benchmark/theBenchmark.p','thm.numeral.numeral_distrib') ).
fof(f26,axiom,
! [X0,X1,X2] : s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) = 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(X0),X1))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.list.LENGTH_APPEND') ).
fof(f27,axiom,
! [X0,X1,X2,X3,X4] :
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),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(X0),X3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.list.LIST_REL_LENGTH') ).
fof(f28,axiom,
! [X0,X1,X2] :
( 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(X0),X2))))))
=> s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) = s__02(c_27type_2enum_2enum_27__00,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.list.LENGTH_TAKE') ).
fof(f29,axiom,
! [X0,X1,X2] : s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) = s__02(c_27type_2elist_2elist_27__01(X0),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.list.TAKE_DROP') ).
fof(f30,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),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),X4),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(X0),X3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) )
=> ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X5),s__02(c_27type_2elist_2elist_27__01(X1),X6)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.rich_list.LIST_REL_APPEND_IMP') ).
fof(f31,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))
=> ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X2),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_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),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(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f32,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))
=> ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X2),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_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),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(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))))) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f34,plain,
( ! [X0] : 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,X0))) = s__02(c_27type_2enum_2enum_27__00,X0)
& ! [X1] : 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,c_27const_2enum_2e0_27__00)))
& ! [X2,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_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X3))))) = 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,X2),s__02(c_27type_2enum_2enum_27__00,X3)))))))
& ! [X4] : 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_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X4)))
& ! [X5] : 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,X5),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X6,X7] : 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,X6))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X7))))) = 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,X6),s__02(c_27type_2enum_2enum_27__00,X7)))))
& ! [X8] : 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,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X8)))
& ! [X9] : s__02(c_27type_2enum_2enum_27__00,X9) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X9),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X10,X11] : 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,X10))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X11))))) = 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,X10),s__02(c_27type_2enum_2enum_27__00,X11)))))
& ! [X12] : 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_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,X12)))))))
& ! [X13] : 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,X13)))))))
& ! [X14] : 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,X14),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_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)))))
& ! [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_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X17))))) = 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,X17)))))
& 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)
& ! [X18] : 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,X18))))) = 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,X18)))))
& ! [X19] :
( 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,X19)))
<=> s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) = s__02(c_27type_2enum_2enum_27__00,X19) )
& ! [X20] :
( 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,X20)))
<=> s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) = s__02(c_27type_2enum_2enum_27__00,X20) )
& ! [X21,X22] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X21))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X22)))
<=> s__02(c_27type_2enum_2enum_27__00,X21) = s__02(c_27type_2enum_2enum_27__00,X22) )
& ! [X23] : 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,X23),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X24] : 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,X24))))) = 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,X24)))
& ! [X25,X26] : 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,X25))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X26))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X25),s__02(c_27type_2enum_2enum_27__00,X26)))
& ! [X27] : 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_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X27)))
& ! [X28] : 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,X28))) = 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,X28))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X29,X30] : 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,X29))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X30))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X30),s__02(c_27type_2enum_2enum_27__00,X29)))
& ! [X31] : 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_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X31)))
& ! [X32] : 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,X32))),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,X32),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))
& ! [X33,X34] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X33),s__02(c_27type_2enum_2enum_27__00,X34))) = 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,X33))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X34)))))
& ! [X35] : s__02(cbool__00,cT__00) = s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X35),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X36] :
( 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,X36))))
<=> s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) = s__02(c_27type_2enum_2enum_27__00,X36) )
& ! [X37,X38] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X38),s__02(c_27type_2enum_2enum_27__00,X37))) = 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,X37))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X38)))))
& ! [X39] : 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,X39))))) = s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,X39)))
& ! [X40] : 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,X40))))) = s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,X40)))
& ~ 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(rectify,[],[f24]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4)))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) ),
inference(ennf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0,X1,X2] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) = 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(X0),X2)))))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X5),s__02(c_27type_2elist_2elist_27__01(X1),X6)))) )
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),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),X4),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(X0),X3))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) ),
inference(ennf_transformation,[],[f30]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X5),s__02(c_27type_2elist_2elist_27__01(X1),X6)))) )
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),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),X4),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(X0),X3))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
? [X0,X1,X2,X3,X4,X5] :
( ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X2),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_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),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(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))))) )
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) ),
inference(ennf_transformation,[],[f32]) ).
fof(f55,plain,
! [X0,X1] :
( ( s__02(X0,X1) = s__02(X0,X1)
| ~ p__01(s__02(cbool__00,cT__00)) )
& ( p__01(s__02(cbool__00,cT__00))
| s__02(X0,X1) != s__02(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f69,plain,
( ! [X0] : 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,X0))) = s__02(c_27type_2enum_2enum_27__00,X0)
& ! [X1] : 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,c_27const_2enum_2e0_27__00)))
& ! [X2,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_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X3))))) = 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,X2),s__02(c_27type_2enum_2enum_27__00,X3)))))))
& ! [X4] : 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_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X4)))
& ! [X5] : 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,X5),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X6,X7] : 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,X6))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X7))))) = 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,X6),s__02(c_27type_2enum_2enum_27__00,X7)))))
& ! [X8] : 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,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X8)))
& ! [X9] : s__02(c_27type_2enum_2enum_27__00,X9) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,X9),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X10,X11] : 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,X10))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X11))))) = 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,X10),s__02(c_27type_2enum_2enum_27__00,X11)))))
& ! [X12] : 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_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,X12)))))))
& ! [X13] : 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,X13)))))))
& ! [X14] : 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,X14),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_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)))))
& ! [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_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X17))))) = 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,X17)))))
& 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)
& ! [X18] : 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,X18))))) = 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,X18)))))
& ! [X19] :
( ( 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,X19)))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) != s__02(c_27type_2enum_2enum_27__00,X19) )
& ( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) = s__02(c_27type_2enum_2enum_27__00,X19)
| 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,X19))) ) )
& ! [X20] :
( ( 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,X20)))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) != s__02(c_27type_2enum_2enum_27__00,X20) )
& ( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) = s__02(c_27type_2enum_2enum_27__00,X20)
| 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,X20))) ) )
& ! [X21,X22] :
( ( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X21))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X22)))
| s__02(c_27type_2enum_2enum_27__00,X21) != s__02(c_27type_2enum_2enum_27__00,X22) )
& ( s__02(c_27type_2enum_2enum_27__00,X21) = s__02(c_27type_2enum_2enum_27__00,X22)
| s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X21))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X22))) ) )
& ! [X23] : 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,X23),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X24] : 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,X24))))) = 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,X24)))
& ! [X25,X26] : 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,X25))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X26))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X25),s__02(c_27type_2enum_2enum_27__00,X26)))
& ! [X27] : 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_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X27)))
& ! [X28] : 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,X28))) = 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,X28))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X29,X30] : 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,X29))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X30))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X30),s__02(c_27type_2enum_2enum_27__00,X29)))
& ! [X31] : 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_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X31)))
& ! [X32] : 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,X32))),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,X32),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))
& ! [X33,X34] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X33),s__02(c_27type_2enum_2enum_27__00,X34))) = 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,X33))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X34)))))
& ! [X35] : s__02(cbool__00,cT__00) = s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X35),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& ! [X36] :
( ( 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,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_2enum_2e0_27__00) = s__02(c_27type_2enum_2enum_27__00,X36)
| ~ 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,X36)))) ) )
& ! [X37,X38] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X38),s__02(c_27type_2enum_2enum_27__00,X37))) = 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,X37))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,X38)))))
& ! [X39] : 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,X39))))) = s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,X39)))
& ! [X40] : 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,X40))))) = s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,X40)))
& ~ 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(nnf_transformation,[],[f34]) ).
fof(f72,plain,
( ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),sK3),s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),sK4),s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5)))))) )
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(sK1),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6)],[f47]) ).
fof(f92,plain,
! [X0,X1] :
( p__01(s__02(cbool__00,cT__00))
| s__02(X0,X1) != s__02(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f139,plain,
! [X2,X0,X1] : 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,X2))) = 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,X0),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,X0),s__02(c_27type_2enum_2enum_27__00,X2))))),
inference(cnf_transformation,[],[f21]) ).
fof(f153,plain,
! [X31] : 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_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X31))),
inference(cnf_transformation,[],[f69]) ).
fof(f181,plain,
! [X1] : 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,c_27const_2enum_2e0_27__00))),
inference(cnf_transformation,[],[f69]) ).
fof(f191,plain,
! [X2,X0,X1] : s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) = 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(X0),X1))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))))),
inference(cnf_transformation,[],[f26]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] :
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),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(X0),X3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) ),
inference(cnf_transformation,[],[f43]) ).
fof(f193,plain,
! [X2,X0,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(X0),X2))))))
| 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(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) ),
inference(cnf_transformation,[],[f44]) ).
fof(f194,plain,
! [X2,X0,X1] : s__02(c_27type_2elist_2elist_27__01(X0),X2) = s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))),
inference(cnf_transformation,[],[f29]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),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),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6))))))
| p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X5),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(X0),X3))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) ),
inference(cnf_transformation,[],[f46]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),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),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6))))))
| p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),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(X0),X3))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) ),
inference(cnf_transformation,[],[f46]) ).
fof(f197,plain,
p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(sK1),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5)))),
inference(cnf_transformation,[],[f72]) ).
fof(f198,plain,
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),sK3),s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),sK4),s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5)))))) ),
inference(cnf_transformation,[],[f72]) ).
fof(f199,plain,
p__01(s__02(cbool__00,cT__00)),
inference(trivial_inequality_removal,[],[f92]) ).
fof(f201,definition,
( spl7_1
<=> p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),sK4),s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5)))))) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f202,plain,
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),sK4),s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))))
| spl7_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl7_2
<=> p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),sK3),s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5)))))) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f205,plain,
( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK1,cfun__02(sK2,cbool__00)),sK6),s__02(c_27type_2elist_2elist_27__01(sK1),sK3),s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))))
| spl7_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f198,f204,f201]) ).
fof(f229,plain,
s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(sK1),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK2),sK5))),
inference(resolution,[],[f192,f197]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X4))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X6),s__02(c_27type_2elist_2elist_27__01(X0),X1)))))
| p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X2,cfun__02(X0,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X2),X4),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X6),s__02(c_27type_2elist_2elist_27__01(X0),X1))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X2,cfun__02(X0,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X2),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5))),s__02(c_27type_2elist_2elist_27__01(X0),X1)))) ),
inference(superposition,[],[f196,f194]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X4))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X6),s__02(c_27type_2elist_2elist_27__01(X0),X1)))))
| p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X2,cfun__02(X0,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X2),X5),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X6),s__02(c_27type_2elist_2elist_27__01(X0),X1))))))
| ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X2,cfun__02(X0,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X2),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5))),s__02(c_27type_2elist_2elist_27__01(X0),X1)))) ),
inference(superposition,[],[f195,f194]) ).
fof(f2638,plain,
! [X2,X3,X0,X1] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))))) = 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(X0),X1))),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))))),
inference(superposition,[],[f139,f191]) ).
fof(f5230,plain,
! [X0] : 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(sK1),sK3))),s__02(c_27type_2enum_2enum_27__00,X0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))),
inference(superposition,[],[f2638,f229]) ).
fof(f5298,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(sK1),sK3))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))) = 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,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))),
inference(superposition,[],[f5230,f181]) ).
fof(f5326,plain,
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_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK3))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))),
inference(forward_demodulation,[],[f5298,f153]) ).
fof(f5328,plain,
( ~ p__01(s__02(cbool__00,cT__00))
| s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))) ),
inference(superposition,[],[f193,f5326]) ).
fof(f5351,plain,
s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK2),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(sK1),sK3))),s__02(c_27type_2elist_2elist_27__01(sK2),sK5))))),
inference(forward_subsumption_resolution,[],[f5328,f199]) ).
fof(f5362,plain,
( $false
| spl7_1 ),
inference(unit_resulting_resolution,[],[f234,f197,f202,f5351]) ).
fof(f5502,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f5362]) ).
fof(f5518,plain,
( $false
| spl7_2 ),
inference(unit_resulting_resolution,[],[f232,f197,f5351,f205]) ).
fof(f5522,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f5518]) ).
cnf(s1,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f206]) ).
cnf(s25,plain,
spl7_1,
inference(sat_conversion,[],[f5502]) ).
cnf(s28,plain,
spl7_2,
inference(sat_conversion,[],[f5522]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s28,s25]) ).
fof(f5524,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW900+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 14:38:19 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running first-order theorem proving
% 0.09/0.12 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.64/1.31 % (3424811)Detected formulas, will run a generic FOF schedule.
% 5.64/1.31 % (3424891)dis-21_1_sil=8000:lcm=predicate:random_seed=3009875155:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.64/1.31 % (3424890)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4148741718:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.64/1.31 % (3424885)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=730464574:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.64/1.31 % (3424888)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2342613186:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.64/1.31 % (3424886)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3886967479:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.64/1.31 % (3424887)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1530714488:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.64/1.31 % (3424889)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2330337893:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.64/1.31 % (3424888)Refutation not found, incomplete strategy
% 5.64/1.31 % (3424888)------------------------------
% 5.64/1.31 % (3424888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3424888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3424888)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3424888)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.31 % (3424888)Time elapsed: 0.002 s
% 5.64/1.31 % (3424888)Peak memory usage: 88 MB
% 5.64/1.31 % (3424888)Instructions burned: 4 (million)
% 5.64/1.31 % (3424889)Instruction limit reached!
% 5.64/1.31 % (3424889)------------------------------
% 5.64/1.31 % (3424889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3424889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3424889)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3424889)Termination reason: Instruction limit
% 5.64/1.31 % (3424889)Termination phase: Saturation
% 5.64/1.31 % (3424889)Time elapsed: 0.033 s
% 5.64/1.31 % (3424889)Peak memory usage: 88 MB
% 5.64/1.31 % (3424889)Instructions burned: 121 (million)
% 5.64/1.31 % (3424891)Instruction limit reached!
% 5.64/1.31 % (3424891)------------------------------
% 5.64/1.31 % (3424891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3424891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3424891)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3424891)Termination reason: Instruction limit
% 5.64/1.31 % (3424891)Termination phase: Saturation
% 5.64/1.31 % (3424891)Time elapsed: 0.040 s
% 5.64/1.31 % (3424891)Peak memory usage: 89 MB
% 5.64/1.31 % (3424891)Instructions burned: 132 (million)
% 5.64/1.31 % (3424890)Instruction limit reached!
% 5.64/1.31 % (3424890)------------------------------
% 5.64/1.31 % (3424890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3424890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3424890)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3424890)Termination reason: Instruction limit
% 5.64/1.31 % (3424890)Termination phase: Saturation
% 5.64/1.31 % (3424890)Time elapsed: 0.041 s
% 5.64/1.31 % (3424890)Peak memory usage: 89 MB
% 5.64/1.31 % (3424890)Instructions burned: 142 (million)
% 5.64/1.31 % (3424965)lrs+10_1_sil=8000:sp=occurrence:random_seed=777793661:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.64/1.31 % (3424968)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2256442499:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 5.64/1.31 % (3424967)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1839978999:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.64/1.31 % (3424888)------------------------------
% 5.64/1.31 % (3424888)------------------------------
% 5.64/1.31 % (3424967)Instruction limit reached!
% 5.64/1.31 % (3424967)------------------------------
% 5.64/1.31 % (3424967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3424967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3424967)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3424967)Termination reason: Instruction limit
% 5.64/1.31 % (3424967)Termination phase: Saturation
% 5.64/1.31 % (3424967)Time elapsed: 0.046 s
% 5.64/1.31 % (3424967)Peak memory usage: 90 MB
% 5.64/1.31 % (3424967)Instructions burned: 157 (million)
% 5.64/1.31 % (3424965)Instruction limit reached!
% 5.64/1.31 % (3424965)------------------------------
% 5.64/1.31 % (3424965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3424965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3424965)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3424965)Termination reason: Instruction limit
% 5.64/1.31 % (3424965)Termination phase: Saturation
% 5.64/1.31 % (3424965)Time elapsed: 0.081 s
% 5.64/1.31 % (3424965)Peak memory usage: 91 MB
% 5.64/1.31 % (3424965)Instructions burned: 286 (million)
% 5.64/1.31 % (3424968)Instruction limit reached!
% 5.64/1.31 % (3424968)------------------------------
% 5.64/1.31 % (3424968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3424968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3424968)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3424968)Termination reason: Instruction limit
% 5.64/1.31 % (3424968)Termination phase: Saturation
% 5.64/1.31 % (3424968)Time elapsed: 0.096 s
% 5.64/1.31 % (3424968)Peak memory usage: 91 MB
% 5.64/1.31 % (3424968)Instructions burned: 327 (million)
% 5.64/1.31 % (3425010)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1573274657:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.64/1.31 % (3425011)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3265283984:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.64/1.31 % (3425012)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2773119353:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 5.64/1.31 % (3425010)Instruction limit reached!
% 5.64/1.31 % (3425010)------------------------------
% 5.64/1.31 % (3425010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3425010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3425010)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3425010)Termination reason: Instruction limit
% 5.64/1.31 % (3425010)Termination phase: Saturation
% 5.64/1.31 % (3425010)Time elapsed: 0.078 s
% 5.64/1.31 % (3425010)Peak memory usage: 91 MB
% 5.64/1.31 % (3425010)Instructions burned: 250 (million)
% 5.64/1.31 % (3425013)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2051955325:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 5.64/1.31 % (3425011)Instruction limit reached!
% 5.64/1.31 % (3425011)------------------------------
% 5.64/1.31 % (3425011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3425011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3425011)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3425011)Termination reason: Instruction limit
% 5.64/1.31 % (3425011)Termination phase: Saturation
% 5.64/1.31 % (3425011)Time elapsed: 0.085 s
% 5.64/1.31 % (3425011)Peak memory usage: 89 MB
% 5.64/1.31 % (3425011)Instructions burned: 296 (million)
% 5.64/1.31 % (3425013)Instruction limit reached!
% 5.64/1.31 % (3425013)------------------------------
% 5.64/1.31 % (3425013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3425013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3425013)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3425013)Termination reason: Instruction limit
% 5.64/1.31 % (3425013)Termination phase: Saturation
% 5.64/1.31 % (3425013)Time elapsed: 0.033 s
% 5.64/1.31 % (3425013)Peak memory usage: 89 MB
% 5.64/1.31 % (3425013)Instructions burned: 114 (million)
% 5.64/1.31 % (3425053)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2941436202:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 5.64/1.31 % (3425053)Refutation not found, incomplete strategy
% 5.64/1.31 % (3425053)------------------------------
% 5.64/1.31 % (3425053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3425053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3425053)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3425053)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.31 % (3425053)Time elapsed: 0.006 s
% 5.64/1.31 % (3425053)Peak memory usage: 88 MB
% 5.64/1.31 % (3425053)Instructions burned: 24 (million)
% 5.64/1.31 % (3425066)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2598144912:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.64/1.31 % (3425067)lrs+10_1_sil=8000:sp=occurrence:random_seed=917199082:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 5.64/1.31 % (3425066)Instruction limit reached!
% 5.64/1.31 % (3425066)------------------------------
% 5.64/1.31 % (3425066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3425066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3425066)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3425066)Termination reason: Instruction limit
% 5.64/1.31 % (3425066)Termination phase: Saturation
% 5.64/1.31 % (3425066)Time elapsed: 0.032 s
% 5.64/1.31 % (3425066)Peak memory usage: 89 MB
% 5.64/1.31 % (3425066)Instructions burned: 116 (million)
% 5.64/1.31 % (3425053)------------------------------
% 5.64/1.31 % (3425053)------------------------------
% 5.64/1.31 % (3425071)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3271461076:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 5.64/1.31 % (3424886)First to succeed.
% 5.64/1.31 % (3424886)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3424811"
% 5.64/1.31 % (3425072)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2665641466:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.64/1.31 % (3425071)Instruction limit reached!
% 5.64/1.31 % (3425071)------------------------------
% 5.64/1.31 % (3425071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3425071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3425071)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3425071)Termination reason: Instruction limit
% 5.64/1.31 % (3425071)Termination phase: Saturation
% 5.64/1.31 % (3425071)Time elapsed: 0.114 s
% 5.64/1.31 % (3425071)Peak memory usage: 91 MB
% 5.64/1.31 % (3425071)Instructions burned: 441 (million)
% 5.64/1.31 % (3425067)Instruction limit reached!
% 5.64/1.31 % (3425067)------------------------------
% 5.64/1.31 % (3425067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.31 % (3425067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.31 % (3425067)CaDiCaL version: 2.1.3
% 5.64/1.31 % (3425067)Termination reason: Instruction limit
% 5.64/1.31 % (3425067)Termination phase: Saturation
% 5.64/1.31 % (3425067)Time elapsed: 0.265 s
% 5.64/1.31 % (3425067)Peak memory usage: 96 MB
% 5.64/1.31 % (3425067)Instructions burned: 909 (million)
% 5.64/1.31 % (3424886)Refutation found. Thanks to Tanya!
% 5.64/1.31 % SZS status Theorem for theBenchmark
% 5.64/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 7.06/1.41 % (3424886)------------------------------
% 7.06/1.41 % (3424886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.41 % (3424886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.41 % (3424886)CaDiCaL version: 2.1.3
% 7.06/1.41 % (3424886)Termination reason: Refutation
% 7.06/1.41 % (3424886)Time elapsed: 0.669 s
% 7.06/1.41 % (3424886)Peak memory usage: 137 MB
% 7.06/1.41 % (3424886)Instructions burned: 1897 (million)
% 7.06/1.41 % (3424886)------------------------------
% 7.06/1.41 % (3424886)------------------------------
% 7.06/1.41 % (3424811)Success in time 0.962 s
% 7.06/1.41 % Vampire exiting
%------------------------------------------------------------------------------