%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP003+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:27:42 AM UTC 2026
% Result : Theorem 87.14s 24.94s
% Output : Refutation 169.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 37
% Syntax : Number of formulae : 219 ( 90 unt; 7 def)
% Number of atoms : 457 ( 228 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 391 ( 153 ~; 175 |; 45 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-3 aty)
% Number of variables : 236 ( 0 sgn 224 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
fof(f5,axiom,
! [X0] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).
fof(f141,axiom,
! [X0,X1,X2] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X1),s(X0,X2))) = s(X0,X1)
& s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2))) = s(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CLAUSES) ).
fof(f425,axiom,
! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
=> s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Esat_2EEQT__Imp1) ).
fof(f1492,axiom,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
<=> ? [X2] :
( ! [X3] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X3))))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X3)))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X0))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eprim__rec_2ELESS__DEF) ).
fof(f1596,axiom,
( ! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,X0)
& ! [X1,X2] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Enum_2Enum,X2))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EADD) ).
fof(f1597,axiom,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2ENUMERAL__DEF) ).
fof(f1598,axiom,
s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EALT__ZERO) ).
fof(f1599,axiom,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EBIT1) ).
fof(f1604,axiom,
( ! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))
& ! [X1,X2] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X2))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EEXP) ).
fof(f1608,axiom,
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
& ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0))))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EEVEN) ).
fof(f1619,axiom,
s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EONE) ).
fof(f1620,axiom,
s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2ETWO) ).
fof(f1624,axiom,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EADD__0) ).
fof(f1625,axiom,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EADD__SUC) ).
fof(f1627,axiom,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EADD__SYM) ).
fof(f1672,axiom,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMULT__SUC) ).
fof(f1673,axiom,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMULT__LEFT__1) ).
fof(f1674,axiom,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) = s(tyop_2Enum_2Enum,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMULT__RIGHT__1) ).
fof(f1676,axiom,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMULT__SYM) ).
fof(f1726,axiom,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2ETIMES2) ).
fof(f1748,axiom,
! [X0] :
? [X1] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,X1)))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,X1))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EODD__OR__EVEN) ).
fof(f1749,axiom,
! [X0,X1] : p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))))),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))))),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2ELESS__EXP__SUC__MONO) ).
fof(f1766,axiom,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))))
<=> s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EEVEN__ADD) ).
fof(f1767,axiom,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EEVEN__MULT) ).
fof(f1773,axiom,
! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
<=> ? [X1] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EEVEN__EXISTS) ).
fof(f1820,axiom,
! [X0,X1,X2] :
( ? [X3] :
( s(tyop_2Enum_2Enum,X1) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X2)))
& p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X0)))) )
=> s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMOD__UNIQUE) ).
fof(f1862,axiom,
! [X0,X1,X2] :
( ( s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0)))
<=> ( s(tyop_2Enum_2Enum,X1) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2)))))))
& s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))))) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) ) )
& ( s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0)))
<=> ( s(tyop_2Enum_2Enum,X1) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2)))))))
& s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))))) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV) ).
fof(f1880,axiom,
! [X0] :
( s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))
& s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) = s(tyop_2Enum_2Enum,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EEXP__1) ).
fof(f1961,conjecture,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) = s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMOD__2) ).
fof(f1962,negated_conjecture,
~ ! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) = s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
inference(negated_conjecture,[status(cth)],[f1961]) ).
fof(f1971,plain,
? [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) != s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
inference(ennf_transformation,[],[f1962]) ).
fof(f2026,plain,
! [X0,X1,X2] :
( s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,X2)
| ! [X3] :
( s(tyop_2Enum_2Enum,X1) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X2)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X0)))) ) ),
inference(ennf_transformation,[],[f1820]) ).
fof(f2168,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(ennf_transformation,[],[f425]) ).
fof(f2236,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
<=> ? [X2] :
( ! [X3] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X3))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X3)))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X0))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X1)))) ) ),
inference(ennf_transformation,[],[f1492]) ).
fof(f2375,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) != s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f1971]) ).
fof(f2430,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X1,sK44(X0))],[f1748]) ).
fof(f2438,plain,
! [X0,X1,X2] :
( ( s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0)))
| s(tyop_2Enum_2Enum,X1) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2)))))))
| s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))))) )
& ( ( s(tyop_2Enum_2Enum,X1) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2)))))))
& s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))))) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) )
| s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) )
& ( s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0)))
| s(tyop_2Enum_2Enum,X1) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2)))))))
| s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))))) )
& ( ( s(tyop_2Enum_2Enum,X1) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2)))))))
& s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))))) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) )
| s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) ) ),
inference(nnf_transformation,[],[f1862]) ).
fof(f2439,plain,
! [X0,X1,X2] :
( ( s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0)))
| s(tyop_2Enum_2Enum,X1) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2)))))))
| s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))))) )
& ( ( s(tyop_2Enum_2Enum,X1) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2)))))))
& s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))))) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) )
| s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) )
& ( s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0)))
| s(tyop_2Enum_2Enum,X1) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2)))))))
| s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))))) )
& ( ( s(tyop_2Enum_2Enum,X1) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EDIV_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2)))))))
& s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))))) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) )
| s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) ) ),
inference(flattening,[],[f2438]) ).
fof(f2440,plain,
! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| ! [X1] : s(tyop_2Enum_2Enum,X0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X1))) )
& ( ? [X1] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X1)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ) ),
inference(nnf_transformation,[],[f1773]) ).
fof(f2441,plain,
! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| ! [X1] : s(tyop_2Enum_2Enum,X0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X1))) )
& ( ? [X2] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X2)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ) ),
inference(rectify,[],[f2440]) ).
fof(f2442,plain,
! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| ! [X1] : s(tyop_2Enum_2Enum,X0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X1))) )
& ( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,sK49(X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X2,sK49(X0))],[f2441]) ).
fof(f2445,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))))
| ( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1)))) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))))) ) ),
inference(nnf_transformation,[],[f1767]) ).
fof(f2446,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))))
| ( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1)))) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))))) ) ),
inference(flattening,[],[f2445]) ).
fof(f2447,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))))
| s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1))) )
& ( s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))))) ) ),
inference(nnf_transformation,[],[f1766]) ).
fof(f2448,plain,
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
& ! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0))))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0)))))) ) ) ),
inference(nnf_transformation,[],[f1608]) ).
fof(f2885,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| ! [X2] :
( ? [X3] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X3))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X3)))))) )
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X0))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X1)))) ) )
& ( ? [X2] :
( ! [X3] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X3))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X3)))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X0))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X1)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))) ) ),
inference(nnf_transformation,[],[f2236]) ).
fof(f2886,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| ! [X2] :
( ? [X3] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X3))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X3)))))) )
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X0))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X1)))) ) )
& ( ? [X4] :
( ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X4),s(tyop_2Enum_2Enum,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X4),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X5)))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X4),s(tyop_2Enum_2Enum,X0))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X4),s(tyop_2Enum_2Enum,X1)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))) ) ),
inference(rectify,[],[f2885]) ).
fof(f2887,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| ! [X2] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,sK177(X2)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,sK177(X2))))))) )
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X0))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2),s(tyop_2Enum_2Enum,X1)))) ) )
& ( ( ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),sK178(X0,X1)),s(tyop_2Enum_2Enum,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),sK178(X0,X1)),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X5)))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),sK178(X0,X1)),s(tyop_2Enum_2Enum,X0))))
& ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),sK178(X0,X1)),s(tyop_2Enum_2Enum,X1)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK177,sK178]),skolemize(X3,sK177(X2)),skolemize(X4,sK178(X0,X1))],[f2886]) ).
fof(f2977,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) != s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
inference(cnf_transformation,[],[f2375]) ).
fof(f3071,plain,
! [X2,X0,X1] : s(X0,X2) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2))),
inference(cnf_transformation,[],[f141]) ).
fof(f3072,plain,
! [X2,X0,X1] : s(X0,X1) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X1),s(X0,X2))),
inference(cnf_transformation,[],[f141]) ).
fof(f3115,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) ),
inference(cnf_transformation,[],[f2430]) ).
fof(f3131,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
inference(cnf_transformation,[],[f1674]) ).
fof(f3132,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X0))),
inference(cnf_transformation,[],[f1673]) ).
fof(f3135,plain,
s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),
inference(cnf_transformation,[],[f1619]) ).
fof(f3136,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),
inference(cnf_transformation,[],[f1599]) ).
fof(f3142,plain,
! [X2,X0,X1] :
( s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2)))))))
| s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) ),
inference(cnf_transformation,[],[f2439]) ).
fof(f3148,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,sK49(X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ),
inference(cnf_transformation,[],[f2442]) ).
fof(f3151,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,X0))),
inference(cnf_transformation,[],[f1726]) ).
fof(f3152,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
inference(cnf_transformation,[],[f1620]) ).
fof(f3158,plain,
! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ),
inference(cnf_transformation,[],[f2446]) ).
fof(f3159,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1)))) ),
inference(cnf_transformation,[],[f2446]) ).
fof(f3160,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ),
inference(cnf_transformation,[],[f2446]) ).
fof(f3162,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1)))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))))) ),
inference(cnf_transformation,[],[f2447]) ).
fof(f3163,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ),
inference(cnf_transformation,[],[f2448]) ).
fof(f3164,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0))))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ),
inference(cnf_transformation,[],[f2448]) ).
fof(f3166,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),
inference(cnf_transformation,[],[f1597]) ).
fof(f3203,plain,
! [X2,X3,X0,X1] :
( s(tyop_2Enum_2Enum,X1) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X2)))
| s(tyop_2Enum_2Enum,X2) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X0)))) ),
inference(cnf_transformation,[],[f2026]) ).
fof(f3207,plain,
s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0),
inference(cnf_transformation,[],[f1598]) ).
fof(f3956,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f3967,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(cnf_transformation,[],[f2168]) ).
fof(f4000,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnf_transformation,[],[f3]) ).
fof(f4154,plain,
! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),sK178(X0,X1)),s(tyop_2Enum_2Enum,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))) ),
inference(cnf_transformation,[],[f2887]) ).
fof(f4214,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))),
inference(cnf_transformation,[],[f1676]) ).
fof(f4215,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))),
inference(cnf_transformation,[],[f1672]) ).
fof(f4302,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))),
inference(cnf_transformation,[],[f1627]) ).
fof(f4307,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))))),
inference(cnf_transformation,[],[f1625]) ).
fof(f4308,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(cnf_transformation,[],[f1624]) ).
fof(f4309,plain,
! [X2,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Enum_2Enum,X2))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))),
inference(cnf_transformation,[],[f1596]) ).
fof(f4310,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,X0))),
inference(cnf_transformation,[],[f1596]) ).
fof(f4352,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),
inference(cnf_transformation,[],[f1880]) ).
fof(f4361,plain,
! [X0,X1] : p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))))),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X1))))),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0)))))))),
inference(cnf_transformation,[],[f1749]) ).
fof(f4368,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),
inference(cnf_transformation,[],[f1604]) ).
fof(f4602,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),
inference(forward_demodulation,[],[f3152,f3166]) ).
fof(f4603,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))),s(tyop_2Enum_2Enum,X0))),
inference(forward_demodulation,[],[f3151,f3166]) ).
fof(f4605,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))),s(tyop_2Enum_2Enum,sK49(X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))) ),
inference(forward_demodulation,[],[f3148,f3166]) ).
fof(f4607,plain,
! [X2,X0,X1] :
( s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2)))))
| s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) ),
inference(forward_demodulation,[],[f3142,f3166]) ).
fof(f4618,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),
inference(forward_demodulation,[],[f3136,f4307]) ).
fof(f4619,plain,
s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))),
inference(forward_demodulation,[],[f3135,f3166]) ).
fof(f4622,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))),s(tyop_2Enum_2Enum,X0))),
inference(forward_demodulation,[],[f3132,f3166]) ).
fof(f4623,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),
inference(forward_demodulation,[],[f3131,f3166]) ).
fof(f4636,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f3115,f4302]) ).
fof(f4667,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))) != s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),
inference(forward_demodulation,[],[f2977,f3166]) ).
fof(f4681,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f4602,f3207]) ).
fof(f4682,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,X0))),
inference(forward_demodulation,[],[f4603,f3207]) ).
fof(f4684,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,sK49(X0)))) ),
inference(forward_demodulation,[],[f4605,f3207]) ).
fof(f4686,plain,
! [X2,X0,X1] :
( s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2)))))
| s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X1))) ),
inference(forward_demodulation,[],[f4607,f3166]) ).
fof(f4697,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),
inference(forward_demodulation,[],[f4618,f4307]) ).
fof(f4698,plain,
s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(forward_demodulation,[],[f4619,f3207]) ).
fof(f4701,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,X0))),
inference(forward_demodulation,[],[f4622,f3207]) ).
fof(f4702,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f4623,f3207]) ).
fof(f4714,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f4636,f3166]) ).
fof(f4745,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))) != s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f4667,f3207]) ).
fof(f4747,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f4681,f3166]) ).
fof(f4748,plain,
! [X2,X0,X1] :
( s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Enum_2Enum,X1)))
| s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))) ),
inference(forward_demodulation,[],[f4686,f3166]) ).
fof(f4757,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0))))),
inference(forward_demodulation,[],[f4697,f4308]) ).
fof(f4760,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,X0))),
inference(forward_demodulation,[],[f4701,f4698]) ).
fof(f4761,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f4702,f4698]) ).
fof(f4773,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f4714,f3207]) ).
fof(f4804,plain,
s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))) != s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f4745,f4698]) ).
fof(f4806,plain,
s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(forward_demodulation,[],[f4747,f4698]) ).
fof(f4807,plain,
! [X2,X0,X1] :
( s(tyop_2Enum_2Enum,X0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Enum_2Enum,X1)))
| s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X2))))) ),
inference(forward_demodulation,[],[f4748,f3166]) ).
fof(f4824,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f4773,f4698]) ).
fof(f4833,plain,
s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f4804,f3166]) ).
fof(f4844,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0))))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f4824,f4309]) ).
fof(f4861,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f4844,f4310]) ).
fof(f4868,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,sK44(X0))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f4861,f4806]) ).
fof(f4871,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,sK44(X0))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f4868,f4806]) ).
fof(f5073,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),
inference(superposition,[],[f4352,f3166]) ).
fof(f5089,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f5073,f3207]) ).
fof(f5092,plain,
! [X0] : s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f5089,f4698]) ).
fof(f6070,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(superposition,[],[f3956,f3956]) ).
fof(f6077,plain,
( s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))) ),
inference(superposition,[],[f4833,f3956]) ).
fof(f6658,plain,
( s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))) ),
inference(forward_demodulation,[],[f6077,f3071]) ).
fof(f6663,definition,
( spl194_26
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))) ),
introduced(definition,[new_symbols(definition,[spl194_26])],[avatar_definition]) ).
fof(f6664,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36)))
| spl194_26 ),
inference(avatar_component_clause,[],[f6663]) ).
fof(f6665,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36)))
| ~ spl194_26 ),
inference(avatar_component_clause,[],[f6663]) ).
fof(f6667,definition,
( spl194_27
<=> s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ),
introduced(definition,[new_symbols(definition,[spl194_27])],[avatar_definition]) ).
fof(f6669,plain,
( s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| spl194_27 ),
inference(avatar_component_clause,[],[f6667]) ).
fof(f6670,plain,
( spl194_26
| ~ spl194_27 ),
inference(avatar_split_clause,[],[f6658,f6667,f6663]) ).
fof(f6704,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,X0))))),
inference(superposition,[],[f4757,f4682]) ).
fof(f6754,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,sK44(X0)),s(tyop_2Enum_2Enum,sK44(X0))))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,sK44(X0)),s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(superposition,[],[f4871,f4682]) ).
fof(f6811,plain,
! [X0] :
( s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,sK44(X0)),s(tyop_2Enum_2Enum,sK44(X0))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(forward_demodulation,[],[f6754,f4757]) ).
fof(f7079,plain,
! [X0] : p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0)))))),
inference(equality_resolution,[],[f3162]) ).
fof(f7178,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X0))))),
inference(equality_resolution,[],[f4807]) ).
fof(f7476,plain,
! [X2,X3,X0,X1] :
( s(tyop_2Enum_2Enum,X3) != s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2)))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X2)))) ),
inference(superposition,[],[f3203,f4302]) ).
fof(f7781,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),
inference(superposition,[],[f4215,f4761]) ).
fof(f7860,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f7781,f4806]) ).
fof(f8968,plain,
! [X0] : p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0)))))))),
inference(superposition,[],[f4361,f4806]) ).
fof(f12182,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),
inference(superposition,[],[f6704,f4214]) ).
fof(f19089,plain,
! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))))) ),
inference(resolution,[],[f3159,f3967]) ).
fof(f20484,plain,
! [X0] :
( s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36)))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(superposition,[],[f4833,f6070]) ).
fof(f20679,plain,
! [X0] :
( s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36)))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(forward_demodulation,[],[f20484,f3072]) ).
fof(f20723,definition,
( spl194_41
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36)))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) ),
introduced(definition,[new_symbols(definition,[spl194_41])],[avatar_definition]) ).
fof(f20724,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36)))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
| ~ spl194_41 ),
inference(avatar_component_clause,[],[f20723]) ).
fof(f20726,definition,
( spl194_42
<=> s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ),
introduced(definition,[new_symbols(definition,[spl194_42])],[avatar_definition]) ).
fof(f20728,plain,
( s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) != s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| spl194_42 ),
inference(avatar_component_clause,[],[f20726]) ).
fof(f20732,plain,
( spl194_41
| ~ spl194_42 ),
inference(avatar_split_clause,[],[f20679,f20726,f20723]) ).
fof(f21469,definition,
( spl194_47
<=> p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,sK36)))))) ),
introduced(definition,[new_symbols(definition,[spl194_47])],[avatar_definition]) ).
fof(f21470,plain,
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,sK36))))))
| ~ spl194_47 ),
inference(avatar_component_clause,[],[f21469]) ).
fof(f21471,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,sK36))))))
| spl194_47 ),
inference(avatar_component_clause,[],[f21469]) ).
fof(f21960,plain,
! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))) ),
inference(resolution,[],[f3160,f3967]) ).
fof(f22134,plain,
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))))
| spl194_47 ),
inference(resolution,[],[f21471,f3164]) ).
fof(f24533,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36)))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
| spl194_26 ),
inference(superposition,[],[f6664,f6070]) ).
fof(f24537,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36)))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
| spl194_26 ),
inference(trivial_inequality_removal,[],[f24533]) ).
fof(f24539,plain,
( spl194_41
| spl194_26 ),
inference(avatar_split_clause,[],[f24537,f6663,f20723]) ).
fof(f24592,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))) )
| ~ spl194_41 ),
inference(superposition,[],[f3158,f20724]) ).
fof(f24674,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))))
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))) )
| ~ spl194_41 ),
inference(forward_subsumption_resolution,[],[f24592,f19089]) ).
fof(f24692,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))) )
| ~ spl194_41 ),
inference(forward_subsumption_resolution,[],[f24674,f21960]) ).
fof(f24694,plain,
( ! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))))
| ~ spl194_41
| spl194_47 ),
inference(forward_subsumption_resolution,[],[f24692,f22134]) ).
fof(f24876,plain,
( ! [X0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0)))
| ~ spl194_41
| spl194_47 ),
inference(superposition,[],[f24694,f4760]) ).
fof(f25003,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ spl194_41
| spl194_47 ),
inference(superposition,[],[f21471,f24876]) ).
fof(f25040,plain,
( $false
| ~ spl194_41
| spl194_47 ),
inference(forward_subsumption_resolution,[],[f25003,f4000]) ).
fof(f25041,plain,
( ~ spl194_41
| spl194_47 ),
inference(avatar_contradiction_clause,[],[f25040]) ).
fof(f31961,plain,
p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))),
inference(superposition,[],[f8968,f5092]) ).
fof(f31972,plain,
p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))),
inference(forward_demodulation,[],[f31961,f4368]) ).
fof(f31977,plain,
p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))),
inference(forward_demodulation,[],[f31972,f3166]) ).
fof(f31981,plain,
p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))),
inference(forward_demodulation,[],[f31977,f3207]) ).
fof(f31985,plain,
p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))),
inference(forward_demodulation,[],[f31981,f4698]) ).
fof(f37358,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,sK36))))
| ~ spl194_47 ),
inference(resolution,[],[f21470,f3163]) ).
fof(f37687,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(superposition,[],[f7178,f4682]) ).
fof(f64535,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X2))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))),s(tyop_2Enum_2Enum,X2))) ),
inference(equality_resolution,[],[f7476]) ).
fof(f74889,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E1(s(tyop_2Enum_2Enum,X0))))
| s(tyop_2Enum_2Enum,X0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,sK44(X0)))) ),
inference(superposition,[],[f7079,f6811]) ).
fof(f76511,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ spl194_26
| ~ spl194_47 ),
inference(forward_demodulation,[],[f37358,f6665]) ).
fof(f76512,plain,
( $false
| ~ spl194_26
| ~ spl194_47 ),
inference(forward_subsumption_resolution,[],[f76511,f4000]) ).
fof(f76513,plain,
( ~ spl194_26
| ~ spl194_47 ),
inference(avatar_contradiction_clause,[],[f76512]) ).
fof(f76521,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Enum_2Enum,sK36) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,sK49(sK36))))
| ~ spl194_26 ),
inference(superposition,[],[f4684,f6665]) ).
fof(f76552,plain,
( s(tyop_2Enum_2Enum,sK36) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,sK49(sK36))))
| ~ spl194_26 ),
inference(forward_subsumption_resolution,[],[f76521,f4000]) ).
fof(f76556,plain,
( s(tyop_2Enum_2Enum,sK36) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,sK49(sK36)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| ~ spl194_26 ),
inference(forward_demodulation,[],[f76552,f4214]) ).
fof(f76558,plain,
( s(tyop_2Enum_2Enum,sK36) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,sK49(sK36)),s(tyop_2Enum_2Enum,sK49(sK36))))
| ~ spl194_26 ),
inference(forward_demodulation,[],[f76556,f7860]) ).
fof(f76568,plain,
( s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| ~ spl194_26 ),
inference(superposition,[],[f37687,f76558]) ).
fof(f77022,plain,
( $false
| ~ spl194_26
| spl194_42 ),
inference(forward_subsumption_resolution,[],[f76568,f20728]) ).
fof(f77023,plain,
( ~ spl194_26
| spl194_42 ),
inference(avatar_contradiction_clause,[],[f77022]) ).
fof(f77198,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Enum_2Enum,sK36) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,sK44(sK36))))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
| ~ spl194_41 ),
inference(superposition,[],[f74889,f20724]) ).
fof(f77256,plain,
( ! [X0] :
( s(tyop_2Enum_2Enum,sK36) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,sK44(sK36))))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
| ~ spl194_41 ),
inference(forward_subsumption_resolution,[],[f77198,f3967]) ).
fof(f77268,definition,
( spl194_81
<=> ! [X0] : s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
introduced(definition,[new_symbols(definition,[spl194_81])],[avatar_definition]) ).
fof(f77269,plain,
( ! [X0] : s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ spl194_81 ),
inference(avatar_component_clause,[],[f77268]) ).
fof(f77271,definition,
( spl194_82
<=> s(tyop_2Enum_2Enum,sK36) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,sK44(sK36)))) ),
introduced(definition,[new_symbols(definition,[spl194_82])],[avatar_definition]) ).
fof(f77273,plain,
( s(tyop_2Enum_2Enum,sK36) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,sK44(sK36))))
| ~ spl194_82 ),
inference(avatar_component_clause,[],[f77271]) ).
fof(f77274,plain,
( spl194_81
| spl194_82
| ~ spl194_41 ),
inference(avatar_split_clause,[],[f77256,f20723,f77271,f77268]) ).
fof(f77315,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))) )
| ~ spl194_81 ),
inference(superposition,[],[f4154,f77269]) ).
fof(f77537,plain,
( ! [X0,X1] : ~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| ~ spl194_81 ),
inference(forward_subsumption_resolution,[],[f77315,f4000]) ).
fof(f77581,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ spl194_81 ),
inference(forward_demodulation,[],[f77537,f77269]) ).
fof(f77590,plain,
( $false
| ~ spl194_81 ),
inference(forward_subsumption_resolution,[],[f77581,f4000]) ).
fof(f77591,plain,
~ spl194_81,
inference(avatar_contradiction_clause,[],[f77590]) ).
fof(f91343,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(resolution,[],[f31985,f64535]) ).
fof(f91362,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f91343,f4309]) ).
fof(f91366,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f91362,f4310]) ).
fof(f91369,plain,
! [X0] : s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
inference(forward_demodulation,[],[f91366,f12182]) ).
fof(f98347,plain,
( s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,sK36),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))
| ~ spl194_82 ),
inference(superposition,[],[f91369,f77273]) ).
fof(f98827,plain,
( $false
| spl194_27
| ~ spl194_82 ),
inference(forward_subsumption_resolution,[],[f98347,f6669]) ).
fof(f98828,plain,
( spl194_27
| ~ spl194_82 ),
inference(avatar_contradiction_clause,[],[f98827]) ).
cnf(s30,plain,
( spl194_26
| ~ spl194_27 ),
inference(sat_conversion,[],[f6670]) ).
cnf(s46,plain,
( spl194_41
| ~ spl194_42 ),
inference(sat_conversion,[],[f20732]) ).
cnf(s56,plain,
( spl194_26
| spl194_41 ),
inference(sat_conversion,[],[f24539]) ).
cnf(s59,plain,
( ~ spl194_41
| spl194_47 ),
inference(sat_conversion,[],[f25041]) ).
cnf(s120,plain,
( ~ spl194_26
| ~ spl194_47 ),
inference(sat_conversion,[],[f76513]) ).
cnf(s122,plain,
( ~ spl194_26
| spl194_42 ),
inference(sat_conversion,[],[f77023]) ).
cnf(s127,plain,
( ~ spl194_41
| spl194_81
| spl194_82 ),
inference(sat_conversion,[],[f77274]) ).
cnf(s140,plain,
~ spl194_81,
inference(sat_conversion,[],[f77591]) ).
cnf(s164,plain,
( spl194_27
| ~ spl194_82 ),
inference(sat_conversion,[],[f98828]) ).
cnf(s165,plain,
( ~ spl194_41
| spl194_82 ),
inference(rat,[],[s127,s140]) ).
cnf(s199,plain,
spl194_26,
inference(rat,[],[s164,s165,s30,s56]) ).
cnf(s200,plain,
spl194_42,
inference(rat,[],[s122,s199]) ).
cnf(s201,plain,
~ spl194_47,
inference(rat,[],[s120,s199]) ).
cnf(s204,plain,
spl194_41,
inference(rat,[],[s46,s200]) ).
cnf(s205,plain,
$false,
inference(rat,[],[s59,s201,s204]) ).
fof(f98838,plain,
$false,
inference(avatar_sat_refutation,[],[s205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP003+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n016.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 11:54:26 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.52/4.39 % (2491617)Detected formulas, will run a generic FOF schedule.
% 22.52/4.39 % (2491758)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3518988596:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 22.52/4.39 % (2491762)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=435538998:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 22.52/4.39 % (2491761)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2489474968:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 22.52/4.39 % (2491759)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4017404238:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 22.52/4.39 % (2491764)dis-21_1_sil=8000:lcm=predicate:random_seed=2080441885:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 22.52/4.39 % (2491760)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2938972596:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 22.52/4.39 % (2491757)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=346325765:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 22.52/4.39 % (2491761)Instruction limit reached!
% 22.52/4.39 % (2491761)------------------------------
% 22.52/4.39 % (2491761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.52/4.39 % (2491761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.52/4.39 % (2491761)CaDiCaL version: 2.1.3
% 22.52/4.39 % (2491761)Termination reason: Instruction limit
% 22.52/4.39 % (2491761)Termination phase: Saturation
% 22.52/4.39 % (2491761)Time elapsed: 0.066 s
% 22.52/4.39 % (2491761)Peak memory usage: 91 MB
% 22.52/4.39 % (2491761)Instructions burned: 119 (million)
% 22.52/4.39 % (2491762)Instruction limit reached!
% 22.52/4.39 % (2491762)------------------------------
% 22.52/4.39 % (2491762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.52/4.39 % (2491762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.52/4.39 % (2491762)CaDiCaL version: 2.1.3
% 22.52/4.39 % (2491762)Termination reason: Instruction limit
% 22.52/4.39 % (2491762)Termination phase: Preprocessing 3
% 22.52/4.39 % (2491762)Time elapsed: 0.117 s
% 22.52/4.39 % (2491762)Peak memory usage: 89 MB
% 22.52/4.39 % (2491762)Instructions burned: 139 (million)
% 22.52/4.39 % (2491760)Instruction limit reached!
% 22.52/4.39 % (2491760)------------------------------
% 22.52/4.39 % (2491760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.52/4.39 % (2491760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.52/4.39 % (2491760)CaDiCaL version: 2.1.3
% 22.52/4.39 % (2491760)Termination reason: Instruction limit
% 22.52/4.39 % (2491760)Termination phase: Saturation
% 22.52/4.39 % (2491760)Time elapsed: 0.100 s
% 22.52/4.39 % (2491760)Peak memory usage: 91 MB
% 22.52/4.39 % (2491760)Instructions burned: 109 (million)
% 22.52/4.39 % (2491764)Instruction limit reached!
% 22.52/4.39 % (2491764)------------------------------
% 22.52/4.39 % (2491764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.52/4.39 % (2491764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.52/4.39 % (2491764)CaDiCaL version: 2.1.3
% 22.52/4.39 % (2491764)Termination reason: Instruction limit
% 22.52/4.39 % (2491764)Termination phase: Property scanning
% 22.52/4.39 % (2491764)Time elapsed: 0.113 s
% 22.52/4.39 % (2491764)Peak memory usage: 90 MB
% 22.52/4.39 % (2491764)Instructions burned: 131 (million)
% 22.52/4.39 % (2491796)lrs+10_1_sil=8000:sp=occurrence:random_seed=635227194:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 22.52/4.39 % (2491799)lrs+1011_1_sil=32000:sp=occurrence:random_seed=70436094:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 22.52/4.39 % (2491798)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3936295939:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 22.52/4.39 % (2491800)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=695547787:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 22.52/4.39 % (2491799)Instruction limit reached!
% 30.01/5.46 % (2491799)------------------------------
% 30.01/5.46 % (2491799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.01/5.46 % (2491799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.01/5.46 % (2491799)CaDiCaL version: 2.1.3
% 30.01/5.46 % (2491799)Termination reason: Instruction limit
% 30.01/5.46 % (2491799)Termination phase: Saturation
% 30.01/5.46 % (2491799)Time elapsed: 0.159 s
% 30.01/5.46 % (2491799)Peak memory usage: 93 MB
% 30.01/5.46 % (2491799)Instructions burned: 326 (million)
% 30.01/5.46 % (2491798)Instruction limit reached!
% 30.01/5.46 % (2491798)------------------------------
% 30.01/5.46 % (2491798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.01/5.46 % (2491798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.01/5.46 % (2491798)CaDiCaL version: 2.1.3
% 30.01/5.46 % (2491798)Termination reason: Instruction limit
% 30.01/5.46 % (2491798)Termination phase: Saturation
% 30.01/5.46 % (2491798)Time elapsed: 0.124 s
% 30.01/5.46 % (2491798)Peak memory usage: 91 MB
% 30.01/5.46 % (2491798)Instructions burned: 158 (million)
% 30.01/5.46 % (2491796)Instruction limit reached!
% 30.01/5.46 % (2491796)------------------------------
% 30.01/5.46 % (2491796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.01/5.46 % (2491796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.01/5.46 % (2491796)CaDiCaL version: 2.1.3
% 30.01/5.46 % (2491796)Termination reason: Instruction limit
% 30.01/5.46 % (2491796)Termination phase: Saturation
% 30.01/5.46 % (2491796)Time elapsed: 0.212 s
% 30.01/5.46 % (2491796)Peak memory usage: 93 MB
% 30.01/5.46 % (2491796)Instructions burned: 286 (million)
% 30.01/5.46 % (2491800)Instruction limit reached!
% 30.01/5.46 % (2491800)------------------------------
% 30.01/5.46 % (2491800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.01/5.46 % (2491800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.01/5.46 % (2491800)CaDiCaL version: 2.1.3
% 30.01/5.46 % (2491800)Termination reason: Instruction limit
% 30.01/5.46 % (2491800)Termination phase: Property scanning
% 30.01/5.46 % (2491800)Time elapsed: 0.193 s
% 30.01/5.46 % (2491800)Peak memory usage: 91 MB
% 30.01/5.46 % (2491800)Instructions burned: 249 (million)
% 30.01/5.46 % (2491825)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=908591988:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 30.01/5.46 % (2491826)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2529995472:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 30.01/5.46 % (2491827)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=162537469:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 30.01/5.46 % (2491825)Instruction limit reached!
% 30.01/5.46 % (2491825)------------------------------
% 30.01/5.46 % (2491825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.01/5.46 % (2491825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.01/5.46 % (2491825)CaDiCaL version: 2.1.3
% 30.01/5.46 % (2491825)Termination reason: Instruction limit
% 30.01/5.46 % (2491825)Termination phase: Saturation
% 30.01/5.46 % (2491825)Time elapsed: 0.138 s
% 30.01/5.46 % (2491825)Peak memory usage: 93 MB
% 30.01/5.46 % (2491825)Instructions burned: 294 (million)
% 30.01/5.46 % (2491827)Instruction limit reached!
% 30.01/5.46 % (2491827)------------------------------
% 30.01/5.46 % (2491827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.01/5.46 % (2491827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.01/5.46 % (2491827)CaDiCaL version: 2.1.3
% 30.01/5.46 % (2491827)Termination reason: Instruction limit
% 30.01/5.46 % (2491827)Termination phase: Property scanning
% 30.01/5.46 % (2491827)Time elapsed: 0.098 s
% 30.01/5.46 % (2491827)Peak memory usage: 90 MB
% 30.01/5.46 % (2491827)Instructions burned: 114 (million)
% 30.01/5.46 % (2491835)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=430767849:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 30.01/5.46 % (2491835)Instruction limit reached!
% 30.01/5.46 % (2491835)------------------------------
% 30.01/5.46 % (2491835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.01/5.46 % (2491835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.01/5.46 % (2491835)CaDiCaL version: 2.1.3
% 30.01/5.46 % (2491835)Termination reason: Instruction limit
% 68.05/10.71 % (2491835)Termination phase: Property scanning
% 68.05/10.71 % (2491835)Time elapsed: 0.115 s
% 68.05/10.71 % (2491835)Peak memory usage: 91 MB
% 68.05/10.71 % (2491835)Instructions burned: 127 (million)
% 68.05/10.71 % (2491853)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2610744430:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 68.05/10.71 % (2491853)Instruction limit reached!
% 68.05/10.71 % (2491853)------------------------------
% 68.05/10.71 % (2491853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.05/10.71 % (2491853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.05/10.71 % (2491853)CaDiCaL version: 2.1.3
% 68.05/10.71 % (2491853)Termination reason: Instruction limit
% 68.05/10.71 % (2491853)Termination phase: Property scanning
% 68.05/10.71 % (2491853)Time elapsed: 0.044 s
% 68.05/10.71 % (2491853)Peak memory usage: 87 MB
% 68.05/10.71 % (2491853)Instructions burned: 114 (million)
% 68.05/10.71 % (2491855)lrs+10_1_sil=8000:sp=occurrence:random_seed=2367018872:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 68.05/10.71 % (2491864)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1529088948:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 68.05/10.71 % (2491871)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=355459293:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 68.05/10.71 % (2491864)Instruction limit reached!
% 68.05/10.71 % (2491864)------------------------------
% 68.05/10.71 % (2491864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.05/10.71 % (2491864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.05/10.71 % (2491864)CaDiCaL version: 2.1.3
% 68.05/10.71 % (2491864)Termination reason: Instruction limit
% 68.05/10.71 % (2491864)Termination phase: Saturation
% 68.05/10.71 % (2491864)Time elapsed: 0.371 s
% 68.05/10.71 % (2491864)Peak memory usage: 96 MB
% 68.05/10.71 % (2491864)Instructions burned: 438 (million)
% 68.05/10.71 % (2491855)Instruction limit reached!
% 68.05/10.71 % (2491855)------------------------------
% 68.05/10.71 % (2491855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.05/10.71 % (2491855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.05/10.71 % (2491855)CaDiCaL version: 2.1.3
% 68.05/10.71 % (2491855)Termination reason: Instruction limit
% 68.05/10.71 % (2491855)Termination phase: Saturation
% 68.05/10.71 % (2491855)Time elapsed: 0.776 s
% 68.05/10.71 % (2491855)Peak memory usage: 98 MB
% 68.05/10.71 % (2491855)Instructions burned: 908 (million)
% 68.05/10.71 % (2491894)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3587057093:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 68.05/10.71 % (2491894)Instruction limit reached!
% 68.05/10.71 % (2491894)------------------------------
% 68.05/10.71 % (2491894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.05/10.71 % (2491894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.05/10.71 % (2491894)CaDiCaL version: 2.1.3
% 68.05/10.71 % (2491894)Termination reason: Instruction limit
% 68.05/10.71 % (2491894)Termination phase: Saturation
% 68.05/10.71 % (2491894)Time elapsed: 0.114 s
% 68.05/10.71 % (2491894)Peak memory usage: 92 MB
% 68.05/10.71 % (2491894)Instructions burned: 134 (million)
% 68.05/10.71 % (2491903)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1538090704:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 68.05/10.71 % (2491910)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2363795901:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 68.05/10.71 % (2491903)Instruction limit reached!
% 68.05/10.71 % (2491903)------------------------------
% 68.05/10.71 % (2491903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.05/10.71 % (2491903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.05/10.71 % (2491903)CaDiCaL version: 2.1.3
% 68.05/10.71 % (2491903)Termination reason: Instruction limit
% 68.05/10.71 % (2491903)Termination phase: Saturation
% 68.05/10.71 % (2491903)Time elapsed: 0.496 s
% 68.05/10.71 % (2491903)Peak memory usage: 98 MB
% 68.05/10.71 % (2491903)Instructions burned: 592 (million)
% 68.05/10.71 % (2491929)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4239039724:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 107.76/16.37 % (2491826)Instruction limit reached!
% 107.76/16.37 % (2491826)------------------------------
% 107.76/16.37 % (2491826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.76/16.37 % (2491826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.76/16.37 % (2491826)CaDiCaL version: 2.1.3
% 107.76/16.37 % (2491826)Termination reason: Instruction limit
% 107.76/16.37 % (2491826)Termination phase: Saturation
% 107.76/16.37 % (2491826)Time elapsed: 2.307 s
% 107.76/16.37 % (2491826)Peak memory usage: 195 MB
% 107.76/16.37 % (2491826)Instructions burned: 2350 (million)
% 107.76/16.37 % (2491929)Instruction limit reached!
% 107.76/16.37 % (2491929)------------------------------
% 107.76/16.37 % (2491929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.76/16.37 % (2491929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.76/16.37 % (2491929)CaDiCaL version: 2.1.3
% 107.76/16.37 % (2491929)Termination reason: Instruction limit
% 107.76/16.37 % (2491929)Termination phase: Clausification
% 107.76/16.37 % (2491929)Time elapsed: 0.102 s
% 107.76/16.37 % (2491929)Peak memory usage: 89 MB
% 107.76/16.37 % (2491929)Instructions burned: 125 (million)
% 107.76/16.37 % (2491946)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=503923547:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/141Mi)
% 107.76/16.37 % (2491945)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1403894237:i=134:gtgl=5:slsql=off:gtg=exists_sym_2964 on theBenchmark for (2964ds/134Mi)
% 107.76/16.37 % (2491946)Refutation not found, incomplete strategy
% 107.76/16.37 % (2491946)------------------------------
% 107.76/16.37 % (2491946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.76/16.37 % (2491946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.76/16.37 % (2491946)CaDiCaL version: 2.1.3
% 107.76/16.37 % (2491946)Termination reason: Refutation not found, incomplete strategy
% 107.76/16.37 % (2491946)Time elapsed: 0.037 s
% 107.76/16.37 % (2491946)Peak memory usage: 90 MB
% 107.76/16.37 % (2491946)Instructions burned: 39 (million)
% 107.76/16.37 % (2491945)Instruction limit reached!
% 107.76/16.37 % (2491945)------------------------------
% 107.76/16.37 % (2491945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.76/16.37 % (2491945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.76/16.37 % (2491945)CaDiCaL version: 2.1.3
% 107.76/16.37 % (2491945)Termination reason: Instruction limit
% 107.76/16.37 % (2491945)Termination phase: Property scanning
% 107.76/16.37 % (2491945)Time elapsed: 0.102 s
% 107.76/16.37 % (2491945)Peak memory usage: 87 MB
% 107.76/16.37 % (2491945)Instructions burned: 134 (million)
% 107.76/16.37 % (2491946)------------------------------
% 107.76/16.37 % (2491946)------------------------------
% 107.76/16.37 % (2491960)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=329342312:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/431Mi)
% 107.76/16.37 % (2491871)Instruction limit reached!
% 107.76/16.37 % (2491871)------------------------------
% 107.76/16.37 % (2491871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.76/16.37 % (2491871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.76/16.37 % (2491871)CaDiCaL version: 2.1.3
% 107.76/16.37 % (2491871)Termination reason: Instruction limit
% 107.76/16.37 % (2491871)Termination phase: Saturation
% 107.76/16.37 % (2491871)Time elapsed: 2.452 s
% 107.76/16.37 % (2491871)Peak memory usage: 156 MB
% 107.76/16.37 % (2491871)Instructions burned: 5202 (million)
% 107.76/16.37 % (2491971)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3667018726:i=6060:aac=none:ins=25_2957 on theBenchmark for (2957ds/6060Mi)
% 107.76/16.37 % (2491978)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1579890813:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2956 on theBenchmark for (2956ds/150Mi)
% 107.76/16.37 % (2491978)Instruction limit reached!
% 107.76/16.37 % (2491978)------------------------------
% 107.76/16.37 % (2491978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.76/16.37 % (2491978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.76/16.37 % (2491978)CaDiCaL version: 2.1.3
% 107.76/16.37 % (2491978)Termination reason: Instruction limit
% 159.46/23.63 % (2491978)Termination phase: Property scanning
% 159.46/23.63 % (2491978)Time elapsed: 0.069 s
% 159.46/23.63 % (2491978)Peak memory usage: 91 MB
% 159.46/23.63 % (2491978)Instructions burned: 151 (million)
% 159.46/23.63 % (2491960)Instruction limit reached!
% 159.46/23.63 % (2491960)------------------------------
% 159.46/23.63 % (2491960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 159.46/23.63 % (2491960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.46/23.63 % (2491960)CaDiCaL version: 2.1.3
% 159.46/23.63 % (2491960)Termination reason: Instruction limit
% 159.46/23.63 % (2491960)Termination phase: Saturation
% 159.46/23.63 % (2491960)Time elapsed: 0.350 s
% 159.46/23.63 % (2491960)Peak memory usage: 93 MB
% 159.46/23.63 % (2491960)Instructions burned: 432 (million)
% 159.46/23.63 % (2491995)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=971626654:i=14155:bd=all_2954 on theBenchmark for (2954ds/14155Mi)
% 159.46/23.63 % (2491996)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2380171323:i=667:av=off:fsr=off_2954 on theBenchmark for (2954ds/667Mi)
% 159.46/23.63 % (2491996)Instruction limit reached!
% 159.46/23.63 % (2491996)------------------------------
% 159.46/23.63 % (2491996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 159.46/23.63 % (2491996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.46/23.63 % (2491996)CaDiCaL version: 2.1.3
% 159.46/23.63 % (2491996)Termination reason: Instruction limit
% 159.46/23.63 % (2491996)Termination phase: Saturation
% 159.46/23.63 % (2491996)Time elapsed: 0.577 s
% 159.46/23.63 % (2491996)Peak memory usage: 99 MB
% 159.46/23.63 % (2491996)Instructions burned: 668 (million)
% 159.46/23.63 % (2492023)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4201893025:s2a=on:i=185:s2at=1.8:fdi=4_2945 on theBenchmark for (2945ds/185Mi)
% 159.46/23.63 % (2492023)Instruction limit reached!
% 159.46/23.63 % (2492023)------------------------------
% 159.46/23.63 % (2492023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 159.46/23.63 % (2492023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.46/23.63 % (2492023)CaDiCaL version: 2.1.3
% 159.46/23.63 % (2492023)Termination reason: Instruction limit
% 159.46/23.63 % (2492023)Termination phase: Property scanning
% 159.46/23.63 % (2492023)Time elapsed: 0.157 s
% 159.46/23.63 % (2492023)Peak memory usage: 90 MB
% 159.46/23.63 % (2492023)Instructions burned: 185 (million)
% 159.46/23.63 % (2492035)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3565696491:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2940 on theBenchmark for (2940ds/193Mi)
% 159.46/23.63 % (2492035)Instruction limit reached!
% 159.46/23.63 % (2492035)------------------------------
% 159.46/23.63 % (2492035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 159.46/23.63 % (2492035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.46/23.63 % (2492035)CaDiCaL version: 2.1.3
% 159.46/23.63 % (2492035)Termination reason: Instruction limit
% 159.46/23.63 % (2492035)Termination phase: Saturation
% 159.46/23.63 % (2492035)Time elapsed: 0.170 s
% 159.46/23.63 % (2492035)Peak memory usage: 93 MB
% 159.46/23.63 % (2492035)Instructions burned: 194 (million)
% 159.46/23.63 % (2492048)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=506835809:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2935 on theBenchmark for (2935ds/4850Mi)
% 159.46/23.63 % (2492048)Refutation not found, incomplete strategy
% 159.46/23.63 % (2492048)------------------------------
% 159.46/23.63 % (2492048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 159.46/23.63 % (2492048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.46/23.63 % (2492048)CaDiCaL version: 2.1.3
% 159.46/23.63 % (2492048)Termination reason: Refutation not found, incomplete strategy
% 159.46/23.63 % (2492048)Time elapsed: 0.214 s
% 159.46/23.63 % (2492048)Peak memory usage: 95 MB
% 159.46/23.63 % (2492048)Instructions burned: 319 (million)
% 159.46/23.63 % (2492048)------------------------------
% 159.46/23.63 % (2492048)------------------------------
% 159.46/23.63 % (2492075)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=593555374:i=12111:sd=1:ss=included_2926 on theBenchmark for (2926ds/12111Mi)
% 159.46/23.63 % (2491971)Instruction limit reached!
% 159.46/23.63 % (2491971)------------------------------
% 87.14/24.94 % (2491971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2491971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2491971)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2491971)Termination reason: Instruction limit
% 87.14/24.94 % (2491971)Termination phase: Saturation
% 87.14/24.94 % (2491971)Time elapsed: 5.315 s
% 87.14/24.94 % (2491971)Peak memory usage: 196 MB
% 87.14/24.94 % (2491971)Instructions burned: 6060 (million)
% 87.14/24.94 % (2492133)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3784918508:i=319:kws=precedence:fsr=off_2901 on theBenchmark for (2901ds/319Mi)
% 87.14/24.94 % (2492133)Instruction limit reached!
% 87.14/24.94 % (2492133)------------------------------
% 87.14/24.94 % (2492133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492133)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492133)Termination reason: Instruction limit
% 87.14/24.94 % (2492133)Termination phase: Saturation
% 87.14/24.94 % (2492133)Time elapsed: 0.266 s
% 87.14/24.94 % (2492133)Peak memory usage: 94 MB
% 87.14/24.94 % (2492133)Instructions burned: 319 (million)
% 87.14/24.94 % (2492142)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3750130986:i=2064:ep=RST_2896 on theBenchmark for (2896ds/2064Mi)
% 87.14/24.94 % (2491995)Instruction limit reached!
% 87.14/24.94 % (2491995)------------------------------
% 87.14/24.94 % (2491995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2491995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2491995)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2491995)Termination reason: Instruction limit
% 87.14/24.94 % (2491995)Termination phase: Saturation
% 87.14/24.94 % (2491995)Time elapsed: 7.429 s
% 87.14/24.94 % (2491995)Peak memory usage: 221 MB
% 87.14/24.94 % (2491995)Instructions burned: 14155 (million)
% 87.14/24.94 % (2492142)Instruction limit reached!
% 87.14/24.94 % (2492142)------------------------------
% 87.14/24.94 % (2492142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492142)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492142)Termination reason: Instruction limit
% 87.14/24.94 % (2492142)Termination phase: Saturation
% 87.14/24.94 % (2492142)Time elapsed: 1.792 s
% 87.14/24.94 % (2492142)Peak memory usage: 107 MB
% 87.14/24.94 % (2492142)Instructions burned: 2064 (million)
% 87.14/24.94 % (2492179)dis-1011_128_sil=32000:random_seed=1489597474:i=3706:ep=RST:av=off_2877 on theBenchmark for (2877ds/3706Mi)
% 87.14/24.94 % (2492182)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2127741104:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2875 on theBenchmark for (2875ds/757Mi)
% 87.14/24.94 % (2492182)Instruction limit reached!
% 87.14/24.94 % (2492182)------------------------------
% 87.14/24.94 % (2492182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492182)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492182)Termination reason: Instruction limit
% 87.14/24.94 % (2492182)Termination phase: Saturation
% 87.14/24.94 % (2492182)Time elapsed: 0.687 s
% 87.14/24.94 % (2492182)Peak memory usage: 99 MB
% 87.14/24.94 % (2492182)Instructions burned: 757 (million)
% 87.14/24.94 % (2492189)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3813495888:i=13913:ss=axioms:sgt=8_2866 on theBenchmark for (2866ds/13913Mi)
% 87.14/24.94 % (2491910)Instruction limit reached!
% 87.14/24.94 % (2491910)------------------------------
% 87.14/24.94 % (2491910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2491910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2491910)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2491910)Termination reason: Instruction limit
% 87.14/24.94 % (2491910)Termination phase: Saturation
% 87.14/24.94 % (2491910)Time elapsed: 12.262 s
% 87.14/24.94 % (2491910)Peak memory usage: 232 MB
% 87.14/24.94 % (2491910)Instructions burned: 13194 (million)
% 87.14/24.94 % (2492179)Instruction limit reached!
% 87.14/24.94 % (2492179)------------------------------
% 87.14/24.94 % (2492179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492179)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492179)Termination reason: Instruction limit
% 87.14/24.94 % (2492179)Termination phase: Saturation
% 87.14/24.94 % (2492179)Time elapsed: 3.010 s
% 87.14/24.94 % (2492179)Peak memory usage: 116 MB
% 87.14/24.94 % (2492179)Instructions burned: 3707 (million)
% 87.14/24.94 % (2492211)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3095555664:i=9925:aac=none_2847 on theBenchmark for (2847ds/9925Mi)
% 87.14/24.94 % (2492214)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1543155837:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2845 on theBenchmark for (2845ds/2479Mi)
% 87.14/24.94 % (2492214)Instruction limit reached!
% 87.14/24.94 % (2492214)------------------------------
% 87.14/24.94 % (2492214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492214)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492214)Termination reason: Instruction limit
% 87.14/24.94 % (2492214)Termination phase: Saturation
% 87.14/24.94 % (2492214)Time elapsed: 1.098 s
% 87.14/24.94 % (2492214)Peak memory usage: 95 MB
% 87.14/24.94 % (2492214)Instructions burned: 2481 (million)
% 87.14/24.94 % (2492223)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3466953260:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2831 on theBenchmark for (2831ds/440Mi)
% 87.14/24.94 % (2492223)Instruction limit reached!
% 87.14/24.94 % (2492223)------------------------------
% 87.14/24.94 % (2492223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492223)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492223)Termination reason: Instruction limit
% 87.14/24.94 % (2492223)Termination phase: Property scanning
% 87.14/24.94 % (2492223)Time elapsed: 0.187 s
% 87.14/24.94 % (2492223)Peak memory usage: 92 MB
% 87.14/24.94 % (2492223)Instructions burned: 442 (million)
% 87.14/24.94 % (2492229)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=74574433:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2827 on theBenchmark for (2827ds/11145Mi)
% 87.14/24.94 % (2492075)Instruction limit reached!
% 87.14/24.94 % (2492075)------------------------------
% 87.14/24.94 % (2492075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492075)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492075)Termination reason: Instruction limit
% 87.14/24.94 % (2492075)Termination phase: Saturation
% 87.14/24.94 % (2492075)Time elapsed: 10.696 s
% 87.14/24.94 % (2492075)Peak memory usage: 223 MB
% 87.14/24.94 % (2492075)Instructions burned: 12111 (million)
% 87.14/24.94 % (2492236)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3146414067:cts=off:i=3034:av=off:er=known:fsd=on_2816 on theBenchmark for (2816ds/3034Mi)
% 87.14/24.94 % (2492236)Instruction limit reached!
% 87.14/24.94 % (2492236)------------------------------
% 87.14/24.94 % (2492236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492236)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492236)Termination reason: Instruction limit
% 87.14/24.94 % (2492236)Termination phase: Saturation
% 87.14/24.94 % (2492236)Time elapsed: 2.983 s
% 87.14/24.94 % (2492236)Peak memory usage: 203 MB
% 87.14/24.94 % (2492236)Instructions burned: 3034 (million)
% 87.14/24.94 % (2492272)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4084285722:st=2:s2a=on:i=524:s2at=2:ss=axioms_2783 on theBenchmark for (2783ds/524Mi)
% 87.14/24.94 % (2492272)Instruction limit reached!
% 87.14/24.94 % (2492272)------------------------------
% 87.14/24.94 % (2492272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492272)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492272)Termination reason: Instruction limit
% 87.14/24.94 % (2492272)Termination phase: Saturation
% 87.14/24.94 % (2492272)Time elapsed: 0.467 s
% 87.14/24.94 % (2492272)Peak memory usage: 96 MB
% 87.14/24.94 % (2492272)Instructions burned: 525 (million)
% 87.14/24.94 % (2492278)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1165880197:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2775 on theBenchmark for (2775ds/1016Mi)
% 87.14/24.94 % (2492229)Instruction limit reached!
% 87.14/24.94 % (2492229)------------------------------
% 87.14/24.94 % (2492229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492229)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492229)Termination reason: Instruction limit
% 87.14/24.94 % (2492229)Termination phase: Saturation
% 87.14/24.94 % (2492229)Time elapsed: 5.676 s
% 87.14/24.94 % (2492229)Peak memory usage: 238 MB
% 87.14/24.94 % (2492229)Instructions burned: 11145 (million)
% 87.14/24.94 % (2492284)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=953346416:i=14123:bd=preordered:ins=4_2768 on theBenchmark for (2768ds/14123Mi)
% 87.14/24.94 % (2492189)First to succeed.
% 87.14/24.94 % (2492189)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2491617"
% 87.14/24.94 % (2492278)Instruction limit reached!
% 87.14/24.94 % (2492278)------------------------------
% 87.14/24.94 % (2492278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.14/24.94 % (2492278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.14/24.94 % (2492278)CaDiCaL version: 2.1.3
% 87.14/24.94 % (2492278)Termination reason: Instruction limit
% 87.14/24.94 % (2492278)Termination phase: Saturation
% 87.14/24.94 % (2492278)Time elapsed: 0.908 s
% 87.14/24.94 % (2492278)Peak memory usage: 99 MB
% 87.14/24.94 % (2492278)Instructions burned: 1016 (million)
% 87.14/24.94 % (2492288)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3733513541:i=5781:kws=precedence:bd=all:rawr=on_2763 on theBenchmark for (2763ds/5781Mi)
% 87.14/24.94 % (2492189)Refutation found. Thanks to Tanya!
% 87.14/24.94 % SZS status Theorem for theBenchmark
% 87.14/24.94 % SZS output start Proof for theBenchmark
% See solution above
% 169.28/25.24 % (2492189)------------------------------
% 169.28/25.24 % (2492189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 169.28/25.24 % (2492189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.28/25.24 % (2492189)CaDiCaL version: 2.1.3
% 169.28/25.24 % (2492189)Termination reason: Refutation
% 169.28/25.24 % (2492189)Time elapsed: 9.805 s
% 169.28/25.24 % (2492189)Peak memory usage: 212 MB
% 169.28/25.24 % (2492189)Instructions burned: 10361 (million)
% 169.28/25.24 % (2492189)------------------------------
% 169.28/25.24 % (2492189)------------------------------
% 169.28/25.24 % (2491617)Success in time 24.02 s
% 169.28/25.24 % Vampire exiting
%------------------------------------------------------------------------------