%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SCT147+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 22:13:42 EDT 2022
% Result : Theorem 182.75s 182.97s
% Output : Refutation 186.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of clauses : 129 ( 53 unt; 31 nHn; 129 RR)
% Number of literals : 228 ( 0 equ; 87 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 41 ( 41 usr; 22 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(16,axiom,
~ hBOOL(c_fFalse),
file('SCT147+1.p',unknown),
[] ).
cnf(17,axiom,
~ equal(v_b____,v_a____),
file('SCT147+1.p',unknown),
[] ).
cnf(34,axiom,
equal(hAPP(c_COMBI(u),v),v),
file('SCT147+1.p',unknown),
[] ).
cnf(36,axiom,
( hBOOL(u)
| hBOOL(hAPP(c_fNot,u)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(66,axiom,
equal(hAPP(c_COMBK(u,v,w),x),w),
file('SCT147+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ hBOOL(u)
| ~ hBOOL(hAPP(c_fNot,u)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ hBOOL(hAPP(hAPP(c_fconj,u),v))
| hBOOL(v) ),
file('SCT147+1.p',unknown),
[] ).
cnf(90,axiom,
hBOOL(hAPP(hAPP(c_member(u),v),c_Set_Oinsert(u,v,w))),
file('SCT147+1.p',unknown),
[] ).
cnf(92,axiom,
equal(c_Fun_Ofun__upd(u,v,w,x,hAPP(w,x)),w),
file('SCT147+1.p',unknown),
[] ).
cnf(93,axiom,
equal(hAPP(c_Fun_Ofun__upd(u,v,w,x,y),x),y),
file('SCT147+1.p',unknown),
[] ).
cnf(106,axiom,
( hBOOL(hAPP(hAPP(c_member(u),v),w))
| skP0(w,v,u) ),
file('SCT147+1.p',unknown),
[] ).
cnf(128,axiom,
( equal(u,v)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,v,u)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,u,v) ),
file('SCT147+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| hBOOL(hAPP(w,v)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ hBOOL(hAPP(u,v))
| hBOOL(hAPP(hAPP(c_member(w),v),u)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ hBOOL(hAPP(hAPP(u,v),w))
| c_Predicate_ODomainP(x,y,u,v) ),
file('SCT147+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ hBOOL(hAPP(hAPP(u,v),w))
| c_Predicate_ORangeP(x,y,u,w) ),
file('SCT147+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ skP0(w,v,u) ),
file('SCT147+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ c_Predicate_ORangeP(u,v,w,x)
| hBOOL(hAPP(hAPP(w,skf170(x,w)),x)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(207,axiom,
( ~ equal(hAPP(u,v),w)
| equal(c_Fun_Ofun__upd(x,y,u,v,w),u) ),
file('SCT147+1.p',unknown),
[] ).
cnf(208,axiom,
( ~ equal(u,v)
| equal(hAPP(c_Fun_Ofun__upd(w,x,y,v,z),u),z) ),
file('SCT147+1.p',unknown),
[] ).
cnf(226,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(u,v),w))
| hBOOL(hAPP(hAPP(v,skf134(v,u,w)),w)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(262,axiom,
( ~ hBOOL(hAPP(u,skf100(u)))
| hBOOL(hAPP(u,hAPP(hAPP(c_Product__Type_OPair(v,w),x),y))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(290,axiom,
( hBOOL(hAPP(hAPP(c_member(u),v),w))
| equal(hAPP(c_FuncSet_Orestrict(u,x,y,w),v),c_HOL_Oundefined(x)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(311,axiom,
equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,w)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,w)),
file('SCT147+1.p',unknown),
[] ).
cnf(341,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| equal(hAPP(c_FuncSet_Orestrict(u,x,y,w),v),hAPP(y,v)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(359,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,u,v)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),u),v)),c_Wellfounded_Oless__than)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(370,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x)))
| hBOOL(hAPP(hAPP(c_member(u),v),x)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(402,axiom,
( ~ hBOOL(hAPP(u,hAPP(hAPP(c_Product__Type_OPair(v,w),skf102(w,v,u)),skf101(w,v,u))))
| hBOOL(hAPP(u,x)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(420,axiom,
equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,v,w),c_Set_Oinsert(u,v,x)),c_Set_Oinsert(u,v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x))),
file('SCT147+1.p',unknown),
[] ).
cnf(441,axiom,
( hBOOL(hAPP(hAPP(c_member(u),v),w))
| equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,c_Set_Oinsert(u,v,x)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(442,axiom,
( hBOOL(hAPP(hAPP(c_member(u),v),w))
| equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,v,x),w),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),x,w)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(448,axiom,
equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,x))),
file('SCT147+1.p',unknown),
[] ).
cnf(512,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,v,x),w),c_Set_Oinsert(u,v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),x,w))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(533,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ hBOOL(hAPP(hAPP(c_member(u),v),x))
| hBOOL(hAPP(hAPP(c_member(u),v),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(588,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,u)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,u))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(589,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,u)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,u))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(636,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x)))
| hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),hAPP(hAPP(c_COMBC(u,tc_fun(u,tc_HOL_Obool),tc_HOL_Obool),c_member(u)),w),hAPP(hAPP(c_COMBC(u,tc_fun(u,tc_HOL_Obool),tc_HOL_Obool),c_member(u)),x)),v)) ),
file('SCT147+1.p',unknown),
[] ).
cnf(679,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,skc1)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,skc1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(688,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,u)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,u)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(689,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,u)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,u))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(694,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,skc1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,skc1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('SCT147+1.p',unknown),
[] ).
cnf(909,plain,
( skP0(u,v,w)
| hBOOL(hAPP(u,v)) ),
inference(res,[status(thm),theory(equality)],[106,132]),
[iquote('0:Res:106.0,132.0')] ).
cnf(916,plain,
( skP0(c_Fun_Ofun__upd(u,v,w,x,y),x,z)
| hBOOL(y) ),
inference(spr,[status(thm),theory(equality)],[93,909]),
[iquote('0:SpR:93.0,909.1')] ).
cnf(1025,plain,
( ~ hBOOL(hAPP(u,v))
| c_Predicate_ODomainP(w,x,c_COMBI(y),u) ),
inference(spl,[status(thm),theory(equality)],[34,134]),
[iquote('0:SpL:34.0,134.0')] ).
cnf(1038,plain,
( skP0(hAPP(u,v),w,x)
| c_Predicate_ODomainP(y,z,u,v) ),
inference(res,[status(thm),theory(equality)],[909,134]),
[iquote('0:Res:909.1,134.0')] ).
cnf(1052,plain,
( ~ hBOOL(hAPP(u,v))
| c_Predicate_ORangeP(w,x,c_member(y),u) ),
inference(res,[status(thm),theory(equality)],[133,136]),
[iquote('0:Res:133.1,136.0')] ).
cnf(1079,plain,
( hBOOL(u)
| c_Predicate_ODomainP(v,w,c_COMBI(x),c_fNot) ),
inference(res,[status(thm),theory(equality)],[36,1025]),
[iquote('0:Res:36.1,1025.0')] ).
cnf(1097,plain,
hBOOL(u),
inference(spt,[spt(split,[position(s1)])],[1079]),
[iquote('1:Spt:1079.0')] ).
cnf(1098,plain,
$false,
inference(unc,[status(thm)],[1097,16]),
[iquote('1:UnC:1097.0,16.0')] ).
cnf(1099,plain,
c_Predicate_ODomainP(u,v,c_COMBI(w),c_fNot),
inference(spt,[spt(split,[position(s2)])],[1079]),
[iquote('1:Spt:1098.0,1079.1')] ).
cnf(1161,plain,
( hBOOL(u)
| c_Predicate_ORangeP(v,w,c_member(x),c_fNot) ),
inference(res,[status(thm),theory(equality)],[36,1052]),
[iquote('0:Res:36.1,1052.0')] ).
cnf(1188,plain,
hBOOL(u),
inference(spt,[spt(split,[position(s2s1)])],[1161]),
[iquote('2:Spt:1161.0')] ).
cnf(1189,plain,
$false,
inference(unc,[status(thm)],[1188,16]),
[iquote('2:UnC:1188.0,16.0')] ).
cnf(1190,plain,
c_Predicate_ORangeP(u,v,c_member(w),c_fNot),
inference(spt,[spt(split,[position(s2s2)])],[1161]),
[iquote('2:Spt:1189.0,1161.1')] ).
cnf(1350,plain,
( skP0(u,v,w)
| c_Predicate_ODomainP(x,y,c_COMBK(z,x1,u),x2) ),
inference(spr,[status(thm),theory(equality)],[66,1038]),
[iquote('0:SpR:66.0,1038.0')] ).
cnf(1369,plain,
( ~ hBOOL(hAPP(u,v))
| ~ skP0(u,v,w) ),
inference(res,[status(thm),theory(equality)],[133,162]),
[iquote('0:Res:133.1,162.0')] ).
cnf(1394,plain,
( ~ hBOOL(u)
| ~ skP0(c_COMBI(v),u,w) ),
inference(spl,[status(thm),theory(equality)],[34,1369]),
[iquote('0:SpL:34.0,1369.0')] ).
cnf(1966,plain,
hBOOL(hAPP(hAPP(c_member(u),skf170(c_fNot,c_member(u))),c_fNot)),
inference(res,[status(thm),theory(equality)],[1190,194]),
[iquote('2:Res:1190.0,194.0')] ).
cnf(2077,plain,
hBOOL(hAPP(c_fNot,skf170(c_fNot,c_member(u)))),
inference(res,[status(thm),theory(equality)],[1966,132]),
[iquote('2:Res:1966.0,132.0')] ).
cnf(2081,plain,
~ hBOOL(skf170(c_fNot,c_member(u))),
inference(res,[status(thm),theory(equality)],[2077,67]),
[iquote('2:Res:2077.0,67.1')] ).
cnf(2087,plain,
( ~ equal(hAPP(u,v),w)
| skP0(u,v,x)
| hBOOL(w) ),
inference(spr,[status(thm),theory(equality)],[207,916]),
[iquote('0:SpR:207.1,916.0')] ).
cnf(2147,plain,
( ~ equal(u,v)
| equal(hAPP(w,u),hAPP(w,v)) ),
inference(spr,[status(thm),theory(equality)],[92,208]),
[iquote('0:SpR:92.0,208.1')] ).
cnf(2367,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(u,c_fconj),v))
| hBOOL(v) ),
inference(res,[status(thm),theory(equality)],[226,89]),
[iquote('0:Res:226.1,89.0')] ).
cnf(2377,plain,
( ~ skP0(c_Wellfounded_Oaccp(u,c_fconj),v,w)
| hBOOL(v) ),
inference(res,[status(thm),theory(equality)],[2367,1369]),
[iquote('0:Res:2367.0,1369.0')] ).
cnf(2378,plain,
( hBOOL(u)
| c_Predicate_ORangeP(v,w,c_member(x),c_Wellfounded_Oaccp(y,c_fconj)) ),
inference(res,[status(thm),theory(equality)],[2367,1052]),
[iquote('0:Res:2367.0,1052.0')] ).
cnf(2379,plain,
( hBOOL(u)
| c_Predicate_ODomainP(v,w,c_COMBI(x),c_Wellfounded_Oaccp(y,c_fconj)) ),
inference(res,[status(thm),theory(equality)],[2367,1025]),
[iquote('0:Res:2367.0,1025.0')] ).
cnf(2405,plain,
hBOOL(u),
inference(spt,[spt(split,[position(s2s2s1)])],[2378]),
[iquote('3:Spt:2378.0')] ).
cnf(2406,plain,
$false,
inference(unc,[status(thm)],[2405,2081]),
[iquote('3:UnC:2405.0,2081.0')] ).
cnf(2407,plain,
c_Predicate_ORangeP(u,v,c_member(w),c_Wellfounded_Oaccp(x,c_fconj)),
inference(spt,[spt(split,[position(s2s2s2)])],[2378]),
[iquote('3:Spt:2406.0,2378.1')] ).
cnf(2409,plain,
hBOOL(u),
inference(spt,[spt(split,[position(s2s2s2s1)])],[2379]),
[iquote('4:Spt:2379.0')] ).
cnf(2410,plain,
$false,
inference(unc,[status(thm)],[2409,2081]),
[iquote('4:UnC:2409.0,2081.0')] ).
cnf(2411,plain,
c_Predicate_ODomainP(u,v,c_COMBI(w),c_Wellfounded_Oaccp(x,c_fconj)),
inference(spt,[spt(split,[position(s2s2s2s2)])],[2379]),
[iquote('4:Spt:2410.0,2379.1')] ).
cnf(2752,plain,
( ~ hBOOL(u)
| ~ equal(u,v)
| ~ hBOOL(hAPP(c_fNot,v)) ),
inference(spl,[status(thm),theory(equality)],[2147,67]),
[iquote('0:SpL:2147.1,67.1')] ).
cnf(3707,plain,
( hBOOL(skf100(c_fNot))
| hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Product__Type_OPair(u,v),w),x))) ),
inference(res,[status(thm),theory(equality)],[36,262]),
[iquote('0:Res:36.1,262.0')] ).
cnf(4283,plain,
( ~ hBOOL(u)
| ~ equal(v,w)
| ~ equal(u,v)
| ~ hBOOL(hAPP(c_fNot,w)) ),
inference(spl,[status(thm),theory(equality)],[2147,2752]),
[iquote('0:SpL:2147.1,2752.2')] ).
cnf(5989,plain,
( ~ equal(u,v)
| skP0(c_COMBI(w),u,x)
| hBOOL(v) ),
inference(spl,[status(thm),theory(equality)],[34,2087]),
[iquote('0:SpL:34.0,2087.0')] ).
cnf(5991,plain,
( ~ equal(c_HOL_Oundefined(u),v)
| hBOOL(hAPP(hAPP(c_member(w),x),y))
| skP0(c_FuncSet_Orestrict(w,u,z,y),x,x1)
| hBOOL(v) ),
inference(spl,[status(thm),theory(equality)],[290,2087]),
[iquote('0:SpL:290.1,2087.0')] ).
cnf(5998,plain,
( ~ equal(u,skf170(c_fNot,c_member(v)))
| skP0(c_COMBI(w),u,x) ),
inference(sor,[status(thm)],[2081,5989]),
[iquote('2:SoR:2081.0,5989.2')] ).
cnf(6002,plain,
skP0(c_COMBI(u),skf170(c_fNot,c_member(v)),w),
inference(eqr,[status(thm),theory(equality)],[5998]),
[iquote('2:EqR:5998.0')] ).
cnf(6004,plain,
~ hBOOL(skf170(c_fNot,c_member(u))),
inference(res,[status(thm),theory(equality)],[6002,1394]),
[iquote('2:Res:6002.0,1394.1')] ).
cnf(8760,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ hBOOL(hAPP(x,v))
| ~ skP0(c_FuncSet_Orestrict(u,y,x,w),v,z) ),
inference(spl,[status(thm),theory(equality)],[341,1369]),
[iquote('0:SpL:341.1,1369.0')] ).
cnf(8763,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ equal(hAPP(x,v),y)
| skP0(c_FuncSet_Orestrict(u,z,x,w),v,x1)
| hBOOL(y) ),
inference(spl,[status(thm),theory(equality)],[341,2087]),
[iquote('0:SpL:341.1,2087.0')] ).
cnf(9331,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,u,v)
| c_Predicate_ORangeP(w,x,c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Wellfounded_Oless__than) ),
inference(res,[status(thm),theory(equality)],[359,136]),
[iquote('0:Res:359.1,136.0')] ).
cnf(14144,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),c_Set_Oinsert(u,w,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),x,y))))
| hBOOL(hAPP(hAPP(c_member(u),v),c_Set_Oinsert(u,w,y))) ),
inference(spl,[status(thm),theory(equality)],[420,370]),
[iquote('0:SpL:420.0,370.0')] ).
cnf(14928,plain,
( hBOOL(hAPP(hAPP(c_member(u),v),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,v,w),x)))
| equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,v,w),x)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,v,w),x)) ),
inference(spr,[status(thm),theory(equality)],[442,311]),
[iquote('0:SpR:442.1,311.0')] ).
cnf(14953,plain,
( hBOOL(hAPP(hAPP(c_member(u),v),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x)))
| equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,v,y),x)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),y,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x))) ),
inference(spr,[status(thm),theory(equality)],[442,448]),
[iquote('0:SpR:442.1,448.0')] ).
cnf(21416,plain,
( c_Predicate_ODomainP(u,v,c_COMBK(w,x,c_Wellfounded_Oaccp(y,c_fconj)),z)
| hBOOL(x1) ),
inference(res,[status(thm),theory(equality)],[1350,2377]),
[iquote('0:Res:1350.0,2377.0')] ).
cnf(21616,plain,
hBOOL(u),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[21416]),
[iquote('5:Spt:21416.1')] ).
cnf(21617,plain,
$false,
inference(unc,[status(thm)],[21616,6004]),
[iquote('5:UnC:21616.0,6004.0')] ).
cnf(21618,plain,
c_Predicate_ODomainP(u,v,c_COMBK(w,x,c_Wellfounded_Oaccp(y,c_fconj)),z),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[21416]),
[iquote('5:Spt:21617.0,21416.0')] ).
cnf(22726,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ hBOOL(hAPP(hAPP(c_member(u),v),c_Set_Oinsert(u,x,y)))
| hBOOL(hAPP(hAPP(c_member(u),x),w))
| hBOOL(hAPP(hAPP(c_member(u),v),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,y))) ),
inference(spr,[status(thm),theory(equality)],[441,533]),
[iquote('0:SpR:441.1,533.2')] ).
cnf(22729,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ hBOOL(hAPP(hAPP(c_member(u),x),c_Set_Oinsert(u,v,y)))
| ~ hBOOL(hAPP(hAPP(c_member(u),x),w))
| hBOOL(hAPP(hAPP(c_member(u),x),c_Set_Oinsert(u,v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),y,w)))) ),
inference(spr,[status(thm),theory(equality)],[512,533]),
[iquote('0:SpR:512.1,533.2')] ).
cnf(24093,plain,
( hBOOL(skf100(c_fNot))
| hBOOL(hAPP(c_fNot,u)) ),
inference(res,[status(thm),theory(equality)],[3707,402]),
[iquote('0:Res:3707.1,402.0')] ).
cnf(24099,plain,
hBOOL(hAPP(c_fNot,u)),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[24093]),
[iquote('6:Spt:24093.1')] ).
cnf(24102,plain,
( ~ hBOOL(u)
| ~ equal(v,w)
| ~ equal(u,v) ),
inference(mrr,[status(thm)],[4283,24099]),
[iquote('6:MRR:4283.3,24099.0')] ).
cnf(24106,plain,
( ~ hBOOL(u)
| ~ equal(u,v) ),
inference(aed,[status(thm),theory(equality)],[17,24102]),
[iquote('6:AED:17.0,24102.1')] ).
cnf(24143,plain,
( ~ equal(c_HOL_Oundefined(u),v)
| hBOOL(hAPP(hAPP(c_member(w),x),y))
| skP0(c_FuncSet_Orestrict(w,u,z,y),x,x1) ),
inference(mrr,[status(thm)],[5991,24106]),
[iquote('6:MRR:5991.3,24106.0')] ).
cnf(24190,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ equal(hAPP(x,v),y)
| skP0(c_FuncSet_Orestrict(u,z,x,w),v,x1) ),
inference(mrr,[status(thm)],[8763,24106]),
[iquote('6:MRR:8763.3,24106.0')] ).
cnf(24510,plain,
( hBOOL(hAPP(hAPP(c_member(u),v),w))
| skP0(c_FuncSet_Orestrict(u,x,y,w),v,z) ),
inference(aed,[status(thm),theory(equality)],[17,24143]),
[iquote('6:AED:17.0,24143.0')] ).
cnf(24605,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| skP0(c_FuncSet_Orestrict(u,x,y,w),v,z) ),
inference(aed,[status(thm),theory(equality)],[17,24190]),
[iquote('6:AED:17.0,24190.1')] ).
cnf(24606,plain,
skP0(c_FuncSet_Orestrict(u,v,w,x),y,z),
inference(mrr,[status(thm)],[24605,24510]),
[iquote('6:MRR:24605.0,24510.0')] ).
cnf(24607,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ hBOOL(hAPP(x,v)) ),
inference(mrr,[status(thm)],[8760,24606]),
[iquote('6:MRR:8760.2,24606.0')] ).
cnf(24633,plain,
~ hBOOL(hAPP(hAPP(c_member(u),v),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x))),
inference(mrr,[status(thm)],[636,24607]),
[iquote('6:MRR:636.1,24607.1')] ).
cnf(24819,plain,
equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,w,x),y)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),x,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,y))),
inference(mrr,[status(thm)],[14953,24633]),
[iquote('6:MRR:14953.0,24633.0')] ).
cnf(24821,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ hBOOL(hAPP(hAPP(c_member(u),v),c_Set_Oinsert(u,x,y)))
| hBOOL(hAPP(hAPP(c_member(u),x),w)) ),
inference(mrr,[status(thm)],[22726,24633]),
[iquote('6:MRR:22726.3,24633.0')] ).
cnf(24824,plain,
equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,w,v),x)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,w,v),x)),
inference(mrr,[status(thm)],[14928,24633]),
[iquote('6:MRR:14928.0,24633.0')] ).
cnf(25138,plain,
equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),v,w)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,x,v),w)),
inference(rew,[status(thm),theory(equality)],[24819,24824]),
[iquote('6:Rew:24819.0,24824.0')] ).
cnf(25142,plain,
equal(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),c_Set_Oinsert(u,v,w),x),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),w,x)),
inference(rew,[status(thm),theory(equality)],[311,25138]),
[iquote('6:Rew:311.0,25138.0')] ).
cnf(25143,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| equal(c_Set_Oinsert(u,v,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),x,w)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),x,w)) ),
inference(rew,[status(thm),theory(equality)],[25142,512]),
[iquote('6:Rew:25142.0,512.1')] ).
cnf(25196,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),w))
| ~ hBOOL(hAPP(hAPP(c_member(u),x),c_Set_Oinsert(u,v,y)))
| ~ hBOOL(hAPP(hAPP(c_member(u),x),w))
| hBOOL(hAPP(hAPP(c_member(u),x),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),y,w))) ),
inference(rew,[status(thm),theory(equality)],[25143,22729]),
[iquote('6:Rew:25143.1,22729.3')] ).
cnf(25248,plain,
( ~ hBOOL(hAPP(hAPP(c_member(u),v),c_Set_Oinsert(u,w,x)))
| ~ hBOOL(hAPP(hAPP(c_member(u),v),y)) ),
inference(mrr,[status(thm)],[25196,24821,24633]),
[iquote('6:MRR:25196.0,25196.3,24821.2,24633.0')] ).
cnf(25258,plain,
~ hBOOL(hAPP(hAPP(c_member(u),v),c_Set_Oinsert(u,w,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(u,tc_HOL_Obool),x,y)))),
inference(mrr,[status(thm)],[14144,25248]),
[iquote('6:MRR:14144.1,25248.1')] ).
cnf(25266,plain,
$false,
inference(unc,[status(thm)],[25258,90]),
[iquote('6:UnC:25258.0,90.0')] ).
cnf(25279,plain,
hBOOL(skf100(c_fNot)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[24093]),
[iquote('6:Spt:25266.0,24093.0')] ).
cnf(33972,plain,
( equal(u,v)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,u,v)
| c_Predicate_ORangeP(w,x,c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Wellfounded_Oless__than) ),
inference(res,[status(thm),theory(equality)],[128,9331]),
[iquote('0:Res:128.1,9331.0')] ).
cnf(33982,plain,
( equal(u,v)
| c_Predicate_ORangeP(w,x,c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Wellfounded_Oless__than) ),
inference(mrr,[status(thm)],[33972,9331]),
[iquote('0:MRR:33972.1,9331.0')] ).
cnf(33983,plain,
equal(u,v),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s1)])],[33982]),
[iquote('7:Spt:33982.0')] ).
cnf(33984,plain,
$false,
inference(aed,[status(thm),theory(equality)],[17,33983]),
[iquote('7:AED:17.0,33983.0')] ).
cnf(33985,plain,
c_Predicate_ORangeP(u,v,c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Wellfounded_Oless__than),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2)])],[33982]),
[iquote('7:Spt:33984.0,33982.1')] ).
cnf(50648,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,skc1))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s1)])],[679]),
[iquote('8:Spt:679.0')] ).
cnf(50649,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,skc1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))),
inference(mrr,[status(thm)],[694,50648]),
[iquote('8:MRR:694.0,50648.0')] ).
cnf(50686,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,skc1))),
inference(res,[status(thm),theory(equality)],[50648,588]),
[iquote('8:Res:50648.0,588.0')] ).
cnf(51417,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,skc1))),
inference(res,[status(thm),theory(equality)],[688,50649]),
[iquote('8:Res:688.1,50649.0')] ).
cnf(51445,plain,
$false,
inference(mrr,[status(thm)],[51417,50686]),
[iquote('8:MRR:51417.0,50686.0')] ).
cnf(51447,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,skc1))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2sa)])],[51445,50648]),
[iquote('8:Spt:51445.0,679.0,50648.0')] ).
cnf(51448,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,skc1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2)])],[679]),
[iquote('8:Spt:51445.0,679.1')] ).
cnf(51574,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,skc1))),
inference(res,[status(thm),theory(equality)],[589,51447]),
[iquote('8:Res:589.1,51447.0')] ).
cnf(51881,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,skc1))),
inference(res,[status(thm),theory(equality)],[51448,689]),
[iquote('8:Res:51448.0,689.0')] ).
cnf(51891,plain,
$false,
inference(mrr,[status(thm)],[51881,51574]),
[iquote('8:MRR:51881.0,51574.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SCT147+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 2 06:34:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 182.75/182.97
% 182.75/182.97 SPASS V 3.9
% 182.75/182.97 SPASS beiseite: Proof found.
% 182.75/182.97 % SZS status Theorem
% 182.75/182.97 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 182.75/182.97 SPASS derived 46122 clauses, backtracked 2826 clauses, performed 10 splits and kept 24084 clauses.
% 182.75/182.97 SPASS allocated 171156 KBytes.
% 182.75/182.97 SPASS spent 0:03:02.55 on the problem.
% 182.75/182.97 0:00:00.05 for the input.
% 182.75/182.97 0:00:03.95 for the FLOTTER CNF translation.
% 182.75/182.97 0:00:01.96 for inferences.
% 182.75/182.97 0:00:01.34 for the backtracking.
% 182.75/182.97 0:2:53.52 for the reduction.
% 182.75/182.97
% 182.75/182.97
% 182.75/182.97 Here is a proof with depth 9, length 129 :
% 182.75/182.97 % SZS output start Refutation
% See solution above
% 186.38/186.58 Formulae used in the proof : help_c__fFalse__1 fact__096a_A_126_061_Ab_096 help_c__COMBI__1 help_c__fNot__2 help_c__COMBK__1 help_c__fNot__1 help_c__fconj__3 fact_insertI1 fact_fun__upd__idem fact_fun__upd__same fact_equalityCE fact_nat__neq__iff fact_mem__def fact_DomainP_Ointros fact_RangeP_Oequations fact_fun__upd__idem__iff fact_fun__upd__def fact_accp_Osimps fact_split__paired__All fact_restrict__apply fact_Int__left__absorb fact_less__than__iff fact_IntD2 fact_insert__inter__insert fact_Int__insert__right fact_Int__insert__left fact_Int__left__commute fact_Int__iff fact_iff fact_inf__Int__eq conj_0 fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_A_061_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_096
% 186.38/186.58
%------------------------------------------------------------------------------