%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n010.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 01:45:09 PM UTC 2026
% Result : Theorem 46.83s 6.98s
% Output : Refutation 46.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 76 ( 25 unt; 2 def)
% Number of atoms : 333 ( 183 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 349 ( 92 ~; 80 |; 151 &)
% ( 20 <=>; 6 =>; 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 : 259 ( 0 sgn 253 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
( ! [X0] :
( p__01(s__02(cbool__00,X0))
<=> p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,cT__00))
<=> p__01(s__02(cbool__00,cF__00)) )
& ( ~ p__01(s__02(cbool__00,cF__00))
<=> p__01(s__02(cbool__00,cT__00)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.bool.NOT_CLAUSES') ).
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(f10,axiom,
! [X0] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X0)
<=> p__01(s__02(cbool__00,X0)) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,X0)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X0)
<=> ~ p__01(s__02(cbool__00,X0)) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.bool.EQ_CLAUSES') ).
fof(f13,axiom,
! [X0] :
( ( p__01(s__02(cbool__00,X0))
=> p__01(s__02(cbool__00,cF__00)) )
<=> s__02(cbool__00,X0) = s__02(cbool__00,cF__00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.bool.IMP_F_EQ_F') ).
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(f38,plain,
! [X0] :
( ( p__01(s__02(cbool__00,cF__00))
| ~ p__01(s__02(cbool__00,X0)) )
<=> s__02(cbool__00,X0) = s__02(cbool__00,cF__00) ),
inference(ennf_transformation,[],[f13]) ).
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(f53,plain,
( ! [X0] :
( ( p__01(s__02(cbool__00,X0))
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| ~ p__01(s__02(cbool__00,X0)) ) )
& ( ~ p__01(s__02(cbool__00,cT__00))
| ~ p__01(s__02(cbool__00,cF__00)) )
& ( p__01(s__02(cbool__00,cF__00))
| p__01(s__02(cbool__00,cT__00)) )
& ( ~ p__01(s__02(cbool__00,cF__00))
| ~ p__01(s__02(cbool__00,cT__00)) )
& ( p__01(s__02(cbool__00,cT__00))
| p__01(s__02(cbool__00,cF__00)) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f54,plain,
( ! [X0] :
( ( p__01(s__02(cbool__00,X0))
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| ~ p__01(s__02(cbool__00,X0)) ) )
& ( ~ p__01(s__02(cbool__00,cT__00))
| ~ p__01(s__02(cbool__00,cF__00)) )
& ( p__01(s__02(cbool__00,cF__00))
| p__01(s__02(cbool__00,cT__00)) )
& ( ~ p__01(s__02(cbool__00,cF__00))
| ~ p__01(s__02(cbool__00,cT__00)) )
& ( p__01(s__02(cbool__00,cT__00))
| p__01(s__02(cbool__00,cF__00)) ) ),
inference(flattening,[],[f53]) ).
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(f56,plain,
! [X0] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X0)
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cT__00)
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X0)
| p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cF__00)
| p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f57,plain,
! [X0] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X0)
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cT__00)
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X0)
| p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cF__00)
| p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) ) ),
inference(flattening,[],[f56]) ).
fof(f62,plain,
! [X0] :
( ( p__01(s__02(cbool__00,cF__00))
| ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cF__00)
| ( ~ p__01(s__02(cbool__00,cF__00))
& p__01(s__02(cbool__00,X0)) ) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f63,plain,
! [X0] :
( ( p__01(s__02(cbool__00,cF__00))
| ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cF__00)
| ( ~ p__01(s__02(cbool__00,cF__00))
& p__01(s__02(cbool__00,X0)) ) ) ),
inference(flattening,[],[f62]) ).
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(f89,plain,
( ~ p__01(s__02(cbool__00,cT__00))
| ~ p__01(s__02(cbool__00,cF__00)) ),
inference(cnf_transformation,[],[f54]) ).
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(f99,plain,
! [X0] :
( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) = s__02(cbool__00,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f114,plain,
! [X0] :
( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) = s__02(cbool__00,X0) ),
inference(cnf_transformation,[],[f63]) ).
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(f203,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(f205,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(f208,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f198,f205,f201]) ).
fof(f230,plain,
( ~ p__01(s__02(cbool__00,cF__00))
| ~ p__01(s__02(cbool__00,cF__00)) ),
inference(forward_subsumption_demodulation,[],[f89,f99]) ).
fof(f231,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f316,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(f336,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(f362,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(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))))
| 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))))))
| 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))))) ),
inference(superposition,[],[f195,f194]) ).
fof(f375,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(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))))
| 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))))))
| 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))))) ),
inference(superposition,[],[f196,f194]) ).
fof(f390,plain,
( s__02(cbool__00,cF__00) = 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(resolution,[],[f114,f203]) ).
fof(f1785,plain,
! [X0] : 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))))) = 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))))),
inference(superposition,[],[f316,f336]) ).
fof(f2618,plain,
! [X0] :
( 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,X0),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,X0),s__02(c_27type_2elist_2elist_27__01(sK2),sK5)))))) ),
inference(resolution,[],[f362,f197]) ).
fof(f2722,plain,
! [X0] :
( 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,X0),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),sK3),s__02(c_27type_2elist_2elist_27__01(sK2),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2elist_2elist_27__01(sK2),sK5)))))) ),
inference(resolution,[],[f375,f197]) ).
fof(f3583,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,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))) = 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(superposition,[],[f1785,f181]) ).
fof(f3659,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,[],[f3583,f153]) ).
fof(f4161,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,f3659]) ).
fof(f4174,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(global_subsumption,[],[f4161,f199]) ).
fof(f4900,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(sK1),sK3)))
| 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)))))) ),
inference(superposition,[],[f2722,f4174]) ).
fof(f4901,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(sK1),sK3)))
| 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(superposition,[],[f2618,f4174]) ).
fof(f5006,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)))))),
inference(trivial_inequality_removal,[],[f4901]) ).
fof(f5007,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)))))),
inference(trivial_inequality_removal,[],[f4900]) ).
fof(f5012,plain,
( p__01(s__02(cbool__00,cF__00))
| spl7_1 ),
inference(forward_demodulation,[],[f5006,f390]) ).
fof(f5013,plain,
spl7_2,
inference(avatar_split_clause,[],[f5007,f205]) ).
fof(f5015,plain,
( $false
| spl7_1 ),
inference(global_subsumption,[],[f5012,f231]) ).
fof(f5016,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f5015]) ).
cnf(s3,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f208]) ).
cnf(s674,plain,
spl7_2,
inference(sat_conversion,[],[f5013]) ).
cnf(s676,plain,
spl7_1,
inference(sat_conversion,[],[f5016]) ).
cnf(s677,plain,
$false,
inference(rat,[],[s3,s674,s676]) ).
fof(f5017,plain,
$false,
inference(avatar_sat_refutation,[],[s677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW900+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 14:39:03 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.74/2.68 % (1970686)Will run a generic schedule for satisfiability detection.
% 16.74/2.68 % (1970691)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=139342472_2999 on theBenchmark for (2999ds/0Mi)
% 16.74/2.68 % (1970692)% WARNING: option uhcvi not known.
% 16.74/2.68 % (1970692)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1412908567:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.74/2.68 % (1970693)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=759977764:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.74/2.68 % (1970694)dis+10_1_sil=32000:sp=arity:random_seed=2565038237:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.74/2.68 % (1970696)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1646024527:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.74/2.68 % (1970695)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=736203455:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.74/2.68 % (1970697)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2617863945:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.74/2.68 % TRYING [1]
% 16.74/2.68 % TRYING [2]
% 16.74/2.68 % TRYING [3]
% 16.74/2.68 % (1970694)Instruction limit reached!
% 16.74/2.68 % (1970694)------------------------------
% 16.74/2.68 % (1970694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.74/2.68 % (1970694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/2.68 % (1970694)CaDiCaL version: 2.1.3
% 16.74/2.68 % (1970694)Termination reason: Instruction limit
% 16.74/2.68 % (1970694)Termination phase: Saturation
% 16.74/2.68 % (1970694)Time elapsed: 0.054 s
% 16.74/2.68 % (1970694)Peak memory usage: 12 MB
% 16.74/2.68 % (1970694)Instructions burned: 103 (million)
% 16.74/2.68 % (1970695)Instruction limit reached!
% 16.74/2.68 % (1970695)------------------------------
% 16.74/2.68 % (1970695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.74/2.68 % (1970695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/2.68 % (1970695)CaDiCaL version: 2.1.3
% 16.74/2.68 % (1970695)Termination reason: Instruction limit
% 16.74/2.68 % (1970695)Termination phase: Saturation
% 16.74/2.68 % (1970695)Time elapsed: 0.062 s
% 16.74/2.68 % (1970695)Peak memory usage: 13 MB
% 16.74/2.68 % (1970695)Instructions burned: 121 (million)
% 16.74/2.68 % (1970696)Instruction limit reached!
% 16.74/2.68 % (1970696)------------------------------
% 16.74/2.68 % (1970696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.74/2.68 % (1970696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/2.68 % (1970696)CaDiCaL version: 2.1.3
% 16.74/2.68 % (1970696)Termination reason: Instruction limit
% 16.74/2.68 % (1970696)Termination phase: Saturation
% 16.74/2.68 % (1970696)Time elapsed: 0.070 s
% 16.74/2.68 % (1970696)Peak memory usage: 13 MB
% 16.74/2.68 % (1970696)Instructions burned: 132 (million)
% 16.74/2.68 % (1970705)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=869398115:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.74/2.68 % (1970706)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3047205222:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.74/2.68 % (1970697)Instruction limit reached!
% 16.74/2.68 % (1970697)------------------------------
% 16.74/2.68 % (1970697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.74/2.68 % (1970697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/2.68 % (1970697)CaDiCaL version: 2.1.3
% 16.74/2.68 % (1970697)Termination reason: Instruction limit
% 16.74/2.68 % (1970697)Termination phase: Saturation
% 16.74/2.68 % (1970697)Time elapsed: 0.085 s
% 16.74/2.68 % (1970697)Peak memory usage: 13 MB
% 16.74/2.68 % (1970697)Instructions burned: 159 (million)
% 16.74/2.68 % (1970707)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1833602713:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.74/2.68 % (1970710)ott-21_1_sil=16000:fs=off:random_seed=3492842602:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.74/2.68 % TRYING [4]
% 16.74/2.68 % TRYING [1]
% 16.74/2.68 % TRYING [2]
% 16.74/2.68 % TRYING [3]
% 16.74/2.68 % (1970706)Instruction limit reached!
% 16.74/2.68 % (1970706)------------------------------
% 16.74/2.68 % (1970706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.74/2.68 % (1970706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.69 % (1970706)CaDiCaL version: 2.1.3
% 45.10/6.69 % (1970706)Termination reason: Instruction limit
% 45.10/6.69 % (1970706)Termination phase: Saturation
% 45.10/6.69 % (1970706)Time elapsed: 0.070 s
% 45.10/6.69 % (1970706)Peak memory usage: 13 MB
% 45.10/6.69 % (1970706)Instructions burned: 131 (million)
% 45.10/6.69 % (1970713)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2947262427:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 45.10/6.69 % (1970710)Instruction limit reached!
% 45.10/6.69 % (1970710)------------------------------
% 45.10/6.69 % (1970710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.69 % (1970710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.69 % (1970710)CaDiCaL version: 2.1.3
% 45.10/6.69 % (1970710)Termination reason: Instruction limit
% 45.10/6.69 % (1970710)Termination phase: Saturation
% 45.10/6.69 % (1970710)Time elapsed: 0.086 s
% 45.10/6.69 % (1970710)Peak memory usage: 13 MB
% 45.10/6.69 % (1970710)Instructions burned: 181 (million)
% 45.10/6.69 % (1970715)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=536293134:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.10/6.69 % TRYING [1]
% 45.10/6.69 % TRYING [2]
% 45.10/6.69 % TRYING [3]
% 45.10/6.69 % (1970713)Instruction limit reached!
% 45.10/6.69 % (1970713)------------------------------
% 45.10/6.69 % (1970713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.69 % (1970713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.69 % (1970713)CaDiCaL version: 2.1.3
% 45.10/6.69 % (1970713)Termination reason: Instruction limit
% 45.10/6.69 % (1970713)Termination phase: Saturation
% 45.10/6.69 % (1970713)Time elapsed: 0.257 s
% 45.10/6.69 % (1970713)Peak memory usage: 13 MB
% 45.10/6.69 % (1970713)Instructions burned: 477 (million)
% 45.10/6.69 % (1970707)Instruction limit reached!
% 45.10/6.69 % (1970707)------------------------------
% 45.10/6.69 % (1970707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.69 % (1970707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.69 % (1970707)CaDiCaL version: 2.1.3
% 45.10/6.69 % (1970707)Termination reason: Instruction limit
% 45.10/6.69 % (1970707)Termination phase: Saturation
% 45.10/6.69 % (1970707)Time elapsed: 0.339 s
% 45.10/6.69 % (1970707)Peak memory usage: 17 MB
% 45.10/6.69 % (1970707)Instructions burned: 685 (million)
% 45.10/6.69 % (1970717)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3412171830:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 45.10/6.69 % (1970718)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3064095862:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 45.10/6.69 % (1970705)Instruction limit reached!
% 45.10/6.69 % (1970705)------------------------------
% 45.10/6.69 % (1970705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.69 % (1970705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.69 % (1970705)CaDiCaL version: 2.1.3
% 45.10/6.69 % (1970705)Termination reason: Instruction limit
% 45.10/6.69 % (1970705)Termination phase: Finite model building constraint generation
% 45.10/6.69 % (1970705)Time elapsed: 0.382 s
% 45.10/6.69 % (1970705)Peak memory usage: 30 MB
% 45.10/6.69 % (1970705)Instructions burned: 716 (million)
% 45.10/6.69 % (1970721)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2255975789:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 45.10/6.69 % (1970715)Instruction limit reached!
% 45.10/6.69 % (1970715)------------------------------
% 45.10/6.69 % (1970715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.69 % (1970715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.69 % (1970715)CaDiCaL version: 2.1.3
% 45.10/6.69 % (1970715)Termination reason: Instruction limit
% 45.10/6.69 % (1970715)Termination phase: Finite model building SAT solving
% 45.10/6.69 % (1970715)Time elapsed: 0.368 s
% 45.10/6.69 % (1970715)Peak memory usage: 27 MB
% 45.10/6.69 % (1970715)Instructions burned: 867 (million)
% 45.10/6.69 % (1970723)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=493999019:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 45.10/6.69 % (1970721)Instruction limit reached!
% 45.10/6.69 % (1970721)------------------------------
% 45.10/6.69 % (1970721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970721)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970721)Termination reason: Instruction limit
% 46.83/6.98 % (1970721)Termination phase: Saturation
% 46.83/6.98 % (1970721)Time elapsed: 0.356 s
% 46.83/6.98 % (1970721)Peak memory usage: 16 MB
% 46.83/6.98 % (1970721)Instructions burned: 694 (million)
% 46.83/6.98 % (1970725)fmb+10_1_sil=64000:random_seed=1469168865:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 46.83/6.98 % (1970718)Instruction limit reached!
% 46.83/6.98 % (1970718)------------------------------
% 46.83/6.98 % (1970718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970718)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970718)Termination reason: Instruction limit
% 46.83/6.98 % (1970718)Termination phase: Finite model building constraint generation
% 46.83/6.98 % (1970718)Time elapsed: 0.412 s
% 46.83/6.98 % (1970718)Peak memory usage: 100 MB
% 46.83/6.98 % (1970718)Instructions burned: 889 (million)
% 46.83/6.98 % (1970727)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1913204022:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 46.83/6.98 % TRYING [1]
% 46.83/6.98 % TRYING [2]
% 46.83/6.98 % TRYING [20]
% 46.83/6.98 % TRYING [3]
% 46.83/6.98 % (1970723)Instruction limit reached!
% 46.83/6.98 % (1970723)------------------------------
% 46.83/6.98 % (1970723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970723)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970723)Termination reason: Instruction limit
% 46.83/6.98 % (1970723)Termination phase: Saturation
% 46.83/6.98 % (1970723)Time elapsed: 0.461 s
% 46.83/6.98 % (1970723)Peak memory usage: 18 MB
% 46.83/6.98 % (1970723)Instructions burned: 881 (million)
% 46.83/6.98 % (1970729)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=705481410:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 46.83/6.98 % (1970717)Instruction limit reached!
% 46.83/6.98 % (1970717)------------------------------
% 46.83/6.98 % (1970717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970717)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970717)Termination reason: Instruction limit
% 46.83/6.98 % (1970717)Termination phase: Saturation
% 46.83/6.98 % (1970717)Time elapsed: 0.637 s
% 46.83/6.98 % (1970717)Peak memory usage: 23 MB
% 46.83/6.98 % (1970717)Instructions burned: 1181 (million)
% 46.83/6.98 % (1970731)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2564602909:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 46.83/6.98 % TRYING [8]
% 46.83/6.98 % TRYING [4]
% 46.83/6.98 % (1970729)Instruction limit reached!
% 46.83/6.98 % (1970729)------------------------------
% 46.83/6.98 % (1970729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970729)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970729)Termination reason: Instruction limit
% 46.83/6.98 % (1970729)Termination phase: Finite model building constraint generation
% 46.83/6.98 % (1970729)Time elapsed: 0.329 s
% 46.83/6.98 % (1970729)Peak memory usage: 67 MB
% 46.83/6.98 % (1970729)Instructions burned: 922 (million)
% 46.83/6.98 % (1970733)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1749278069:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 46.83/6.98 % (1970733)Instruction limit reached!
% 46.83/6.98 % (1970733)------------------------------
% 46.83/6.98 % (1970733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970733)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970733)Termination reason: Instruction limit
% 46.83/6.98 % (1970733)Termination phase: Saturation
% 46.83/6.98 % (1970733)Time elapsed: 0.888 s
% 46.83/6.98 % (1970733)Peak memory usage: 31 MB
% 46.83/6.98 % (1970733)Instructions burned: 1474 (million)
% 46.83/6.98 % (1970735)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3241266136:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 46.83/6.98 % (1970735)Cannot represent all propositional literals internally
% 46.83/6.98 % (1970735)Refutation not found, incomplete strategy
% 46.83/6.98 % (1970735)------------------------------
% 46.83/6.98 % (1970735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970735)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970735)Termination reason: Refutation not found, incomplete strategy
% 46.83/6.98 % (1970735)Time elapsed: 0.054 s
% 46.83/6.98 % (1970735)Peak memory usage: 13 MB
% 46.83/6.98 % (1970735)Instructions burned: 113 (million)
% 46.83/6.98 % (1970735)------------------------------
% 46.83/6.98 % (1970735)------------------------------
% 46.83/6.98 % (1970737)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3764226630:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 46.83/6.98 % TRYING [16]
% 46.83/6.98 % TRYING [5]
% 46.83/6.98 % TRYING [5]
% 46.83/6.98 % (1970737)Instruction limit reached!
% 46.83/6.98 % (1970737)------------------------------
% 46.83/6.98 % (1970737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970737)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970737)Termination reason: Instruction limit
% 46.83/6.98 % (1970737)Termination phase: Finite model building constraint generation
% 46.83/6.98 % (1970737)Time elapsed: 0.795 s
% 46.83/6.98 % (1970737)Peak memory usage: 128 MB
% 46.83/6.98 % (1970737)Instructions burned: 2175 (million)
% 46.83/6.98 % (1970739)ott-2_1_sil=16000:newcnf=on:random_seed=3624212868:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 46.83/6.98 % (1970739)Instruction limit reached!
% 46.83/6.98 % (1970739)------------------------------
% 46.83/6.98 % (1970739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970739)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970739)Termination reason: Instruction limit
% 46.83/6.98 % (1970739)Termination phase: Saturation
% 46.83/6.98 % (1970739)Time elapsed: 0.418 s
% 46.83/6.98 % (1970739)Peak memory usage: 15 MB
% 46.83/6.98 % (1970739)Instructions burned: 869 (million)
% 46.83/6.98 % (1970741)ott+10_1_sil=32000:tgt=ground:random_seed=71838583:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 46.83/6.98 % (1970731)Instruction limit reached!
% 46.83/6.98 % (1970731)------------------------------
% 46.83/6.98 % (1970731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970731)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970731)Termination reason: Instruction limit
% 46.83/6.98 % (1970731)Termination phase: Saturation
% 46.83/6.98 % (1970731)Time elapsed: 2.615 s
% 46.83/6.98 % (1970731)Peak memory usage: 41 MB
% 46.83/6.98 % (1970731)Instructions burned: 5132 (million)
% 46.83/6.98 % (1970743)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=247563931:i=54282_2962 on theBenchmark for (2962ds/54282Mi)
% 46.83/6.98 % TRYING [1]
% 46.83/6.98 % TRYING [2]
% 46.83/6.98 % TRYING [3]
% 46.83/6.98 % TRYING [4]
% 46.83/6.98 % (1970727)Instruction limit reached!
% 46.83/6.98 % (1970727)------------------------------
% 46.83/6.98 % (1970727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970727)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970727)Termination reason: Instruction limit
% 46.83/6.98 % (1970727)Termination phase: Finite model building constraint generation
% 46.83/6.98 % (1970727)Time elapsed: 3.530 s
% 46.83/6.98 % (1970727)Peak memory usage: 671 MB
% 46.83/6.98 % (1970727)Instructions burned: 9521 (million)
% 46.83/6.98 % (1970745)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2022405563:i=3512:aac=none_2954 on theBenchmark for (2954ds/3512Mi)
% 46.83/6.98 % (1970745)Instruction limit reached!
% 46.83/6.98 % (1970745)------------------------------
% 46.83/6.98 % (1970745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970745)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970745)Termination reason: Instruction limit
% 46.83/6.98 % (1970745)Termination phase: Saturation
% 46.83/6.98 % (1970745)Time elapsed: 1.876 s
% 46.83/6.98 % (1970745)Peak memory usage: 52 MB
% 46.83/6.98 % (1970745)Instructions burned: 3513 (million)
% 46.83/6.98 % (1970741)Instruction limit reached!
% 46.83/6.98 % (1970741)------------------------------
% 46.83/6.98 % (1970741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970741)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970741)Termination reason: Instruction limit
% 46.83/6.98 % (1970741)Termination phase: Saturation
% 46.83/6.98 % (1970741)Time elapsed: 2.717 s
% 46.83/6.98 % (1970741)Peak memory usage: 41 MB
% 46.83/6.98 % (1970741)Instructions burned: 5114 (million)
% 46.83/6.98 % (1970747)dis+21_1_sil=32000:sas=cadical:random_seed=2934769180:i=3773:amm=off_2935 on theBenchmark for (2935ds/3773Mi)
% 46.83/6.98 % (1970748)ott+11_1_sil=16000:gs=on:random_seed=1357961361:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2935 on theBenchmark for (2935ds/2251Mi)
% 46.83/6.98 % (1970748) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1970686-1970748"...
% 46.83/6.98 % (1970748)...printing done.
% 46.83/6.98 % (1970748)Refutation found. Thanks to Tanya!
% 46.83/6.98 % SZS status Theorem for theBenchmark
% 46.83/6.98 % SZS output start Proof for theBenchmark
% See solution above
% 46.83/6.98 % (1970748)------------------------------
% 46.83/6.98 % (1970748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.83/6.98 % (1970748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.83/6.98 % (1970748)CaDiCaL version: 2.1.3
% 46.83/6.98 % (1970748)Termination reason: Refutation
% 46.83/6.98 % (1970748)Time elapsed: 0.221 s
% 46.83/6.98 % (1970748)Peak memory usage: 16 MB
% 46.83/6.98 % (1970748)Instructions burned: 391 (million)
% 46.83/6.98 % (1970686)Success in time 6.744 s
% 46.83/6.98 % Vampire exiting
%------------------------------------------------------------------------------