TSTP Solution File: SCT128+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SCT128+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:16:49 EDT 2023
% Result : ContradictoryAxioms 2173.48s 277.63s
% Output : CNFRefutation 2173.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 53
% Syntax : Number of formulae : 296 ( 134 unt; 0 def)
% Number of atoms : 560 ( 220 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 492 ( 228 ~; 196 |; 21 &)
% ( 15 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 35 ( 35 usr; 11 con; 0-5 aty)
% Number of variables : 689 ( 124 sgn; 318 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_all__not__in__conv,axiom,
! [X11,X9] :
( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(X9),X3),X11))
<=> X11 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool)) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_all__not__in__conv) ).
fof(fact_DiffE,axiom,
! [X10,X11,X8,X9] :
( hBOOL(hAPP(hAPP(c_member(X9),X8),c_Groups_Ominus__class_Ominus(tc_fun(X9,tc_HOL_Obool),X11,X10)))
=> ~ ( hBOOL(hAPP(hAPP(c_member(X9),X8),X11))
=> hBOOL(hAPP(hAPP(c_member(X9),X8),X10)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_DiffE) ).
fof(fact_mem__def,axiom,
! [X11,X15,X9] :
( hBOOL(hAPP(hAPP(c_member(X9),X15),X11))
<=> hBOOL(hAPP(X11,X15)) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_mem__def) ).
fof(fact_Un__Diff__Int,axiom,
! [X10,X11,X9] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X9,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(X9,tc_HOL_Obool),X11,X10)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X9,tc_HOL_Obool)),X11),X10)) = X11,
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Un__Diff__Int) ).
fof(fact_Un__commute,axiom,
! [X10,X11,X9] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X9,tc_HOL_Obool)),X11),X10) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X9,tc_HOL_Obool)),X10),X11),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Un__commute) ).
fof(help_c__COMBK__1,axiom,
! [X77,X76,X17,X9] : hAPP(c_COMBK(X9,X17,X76),X77) = X76,
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',help_c__COMBK__1) ).
fof(fact_Un__empty__right,axiom,
! [X11,X9] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X9,tc_HOL_Obool)),X11),c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool))) = X11,
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Un__empty__right) ).
fof(fact_Int__lower2,axiom,
! [X10,X11,X9] : c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X9,tc_HOL_Obool)),X11),X10),X10),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Int__lower2) ).
fof(fact_le__fun__def,axiom,
! [X1,X2,X9,X17] :
( class_Orderings_Oord(X17)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X9,X17),X2,X1)
<=> ! [X3] : c_Orderings_Oord__class_Oless__eq(X17,hAPP(X2,X3),hAPP(X1,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_le__fun__def) ).
fof(arity_HOL__Obool__Orderings_Oord,axiom,
class_Orderings_Oord(tc_HOL_Obool),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',arity_HOL__Obool__Orderings_Oord) ).
fof(fact_fun__upd__same,axiom,
! [X14,X15,X2,X9,X17] : hAPP(c_Fun_Ofun__upd(X17,X9,X2,X15,X14),X15) = X14,
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_fun__upd__same) ).
fof(fact_inf__absorb1,axiom,
! [X51,X50,X9] :
( class_Lattices_Osemilattice__inf(X9)
=> ( c_Orderings_Oord__class_Oless__eq(X9,X50,X51)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X50),X51) = X50 ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_inf__absorb1) ).
fof(fact_emptyE,axiom,
! [X25,X9] : ~ hBOOL(hAPP(hAPP(c_member(X9),X25),c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_emptyE) ).
fof(fact_inf__sup__aci_I4_J,axiom,
! [X51,X50,X9] :
( class_Lattices_Olattice(X9)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X50),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X50),X51)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X50),X51) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_inf__sup__aci_I4_J) ).
fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',arity_HOL__Obool__Lattices_Osemilattice__inf) ).
fof(fact_accp_Osimps,axiom,
! [X25,X20,X9] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X9,X20),X25))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(X20,X3),X25))
=> hBOOL(hAPP(c_Wellfounded_Oaccp(X9,X20),X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_accp_Osimps) ).
fof(arity_HOL__Obool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_HOL_Obool),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',arity_HOL__Obool__Lattices_Olattice) ).
fof(fact_inf__sup__aci_I3_J,axiom,
! [X53,X51,X50,X9] :
( class_Lattices_Olattice(X9)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X50),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X51),X53)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X51),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X50),X53)) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_inf__sup__aci_I3_J) ).
fof(fact_Int__commute,axiom,
! [X10,X11,X9] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X9,tc_HOL_Obool)),X11),X10) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X9,tc_HOL_Obool)),X10),X11),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Int__commute) ).
fof(fact_le__infE,axiom,
! [X28,X29,X50,X9] :
( class_Lattices_Osemilattice__inf(X9)
=> ( c_Orderings_Oord__class_Oless__eq(X9,X50,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X29),X28))
=> ~ ( c_Orderings_Oord__class_Oless__eq(X9,X50,X29)
=> ~ c_Orderings_Oord__class_Oless__eq(X9,X50,X28) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_le__infE) ).
fof(fact_le__iff__inf,axiom,
! [X14,X15,X9] :
( class_Lattices_Osemilattice__inf(X9)
=> ( c_Orderings_Oord__class_Oless__eq(X9,X15,X14)
<=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X15),X14) = X15 ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_le__iff__inf) ).
fof(help_c__fequal__2,axiom,
! [X14,X15] :
( X15 != X14
| hBOOL(hAPP(hAPP(c_fequal,X15),X14)) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',help_c__fequal__2) ).
fof(help_c__fNot__2,axiom,
! [X19] :
( ~ ~ hBOOL(X19)
| hBOOL(hAPP(c_fNot,X19)) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',help_c__fNot__2) ).
fof(fact_sup__absorb1,axiom,
! [X50,X51,X9] :
( class_Lattices_Osemilattice__sup(X9)
=> ( c_Orderings_Oord__class_Oless__eq(X9,X51,X50)
=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X9),X50),X51) = X50 ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_sup__absorb1) ).
fof(fact_le__iff__sup,axiom,
! [X14,X15,X9] :
( class_Lattices_Osemilattice__sup(X9)
=> ( c_Orderings_Oord__class_Oless__eq(X9,X15,X14)
<=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X9),X15),X14) = X14 ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_le__iff__sup) ).
fof(help_c__fNot__1,axiom,
! [X19] :
( ~ hBOOL(hAPP(c_fNot,X19))
| ~ hBOOL(X19) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',help_c__fNot__1) ).
fof(fact_split__paired__All,axiom,
! [X17,X9,X19] :
( ! [X21] : hBOOL(hAPP(X19,X21))
<=> ! [X6,X7] : hBOOL(hAPP(X19,hAPP(hAPP(c_Product__Type_OPair(X9,X17),X6),X7))) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_split__paired__All) ).
fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
class_Lattices_Osemilattice__sup(tc_HOL_Obool),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',arity_HOL__Obool__Lattices_Osemilattice__sup) ).
fof(fact_sup__eq__bot__iff,axiom,
! [X14,X15,X9] :
( class_Lattices_Obounded__lattice__bot(X9)
=> ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X9),X15),X14) = c_Orderings_Obot__class_Obot(X9)
<=> ( X15 = c_Orderings_Obot__class_Obot(X9)
& X14 = c_Orderings_Obot__class_Obot(X9) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_sup__eq__bot__iff) ).
fof(fact_ext,axiom,
! [X1,X2] :
( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
=> X2 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_ext) ).
fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',arity_HOL__Obool__Lattices_Obounded__lattice__bot) ).
fof(fact_bot__apply,axiom,
! [X15,X17,X9] :
( class_Orderings_Obot(X9)
=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(X17,X9)),X15) = c_Orderings_Obot__class_Obot(X9) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_bot__apply) ).
fof(fact_disjoint__iff__not__equal,axiom,
! [X10,X11,X9] :
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X9,tc_HOL_Obool)),X11),X10) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X9),X3),X11))
=> ! [X5] :
( hBOOL(hAPP(hAPP(c_member(X9),X5),X10))
=> X3 != X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_disjoint__iff__not__equal) ).
fof(arity_HOL__Obool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_HOL_Obool),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',arity_HOL__Obool__Orderings_Obot) ).
fof(fact__096F_AQ_A_058_ALin_096,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact__096F_AQ_A_058_ALin_096) ).
fof(fact__096P_A_058_AProf_096,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact__096P_A_058_AProf_096) ).
fof(fact__096P_H_A_058_AProf_096,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact__096P_H_A_058_AProf_096) ).
fof(fact_Int__absorb,axiom,
! [X11,X9] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X9,tc_HOL_Obool)),X11),X11) = X11,
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Int__absorb) ).
fof(fact_RangeP_Ointros,axiom,
! [X17,X9,X24,X25,X20] :
( hBOOL(hAPP(hAPP(X20,X25),X24))
=> c_Predicate_ORangeP(X9,X17,X20,X24) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_RangeP_Ointros) ).
fof(fact_Lin__irrefl,axiom,
! [X24,X25,X13] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13),c_Arrow__Order__Mirabelle_OLin))
=> ( 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),X25),X24)),X13))
=> ~ 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),X24),X25)),X13)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Lin__irrefl) ).
fof(fact_eq__mem,axiom,
! [X14,X15,X9] :
( hBOOL(hAPP(hAPP(c_member(X9),X15),hAPP(c_fequal,X14)))
<=> X15 = X14 ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_eq__mem) ).
fof(fact_RangeP_Oequations,axiom,
! [X36,X20,X17,X9] :
( c_Predicate_ORangeP(X9,X17,X20,X36)
<=> ? [X6] : hBOOL(hAPP(hAPP(X20,X6),X36)) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_RangeP_Oequations) ).
fof(fact_insertI1,axiom,
! [X10,X25,X9] : hBOOL(hAPP(hAPP(c_member(X9),X25),c_Set_Oinsert(X9,X25,X10))),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_insertI1) ).
fof(fact_irrefl__def,axiom,
! [X20,X9] :
( c_Relation_Oirrefl(X9,X20)
<=> ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X9,X9)),hAPP(hAPP(c_Product__Type_OPair(X9,X9),X3),X3)),X20)) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_irrefl__def) ).
fof(fact_xt1_I6_J,axiom,
! [X53,X50,X51,X9] :
( class_Orderings_Oorder(X9)
=> ( c_Orderings_Oord__class_Oless__eq(X9,X51,X50)
=> ( c_Orderings_Oord__class_Oless__eq(X9,X53,X51)
=> c_Orderings_Oord__class_Oless__eq(X9,X53,X50) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_xt1_I6_J) ).
fof(fact_insert__code,axiom,
! [X15,X11,X14,X9] :
( hBOOL(hAPP(c_Set_Oinsert(X9,X14,X11),X15))
<=> ( X14 = X15
| hBOOL(hAPP(X11,X15)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_insert__code) ).
fof(fact_insert__absorb,axiom,
! [X11,X25,X9] :
( hBOOL(hAPP(hAPP(c_member(X9),X25),X11))
=> c_Set_Oinsert(X9,X25,X11) = X11 ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_insert__absorb) ).
fof(arity_HOL__Obool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_HOL_Obool),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',arity_HOL__Obool__Orderings_Oorder) ).
fof(fact_fun__upd__triv,axiom,
! [X15,X2,X17,X9] : c_Fun_Ofun__upd(X9,X17,X2,X15,hAPP(X2,X15)) = X2,
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_fun__upd__triv) ).
fof(fact_insert__not__empty,axiom,
! [X11,X25,X9] : c_Set_Oinsert(X9,X25,X11) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool)),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_insert__not__empty) ).
fof(fact_Un__insert__right,axiom,
! [X10,X25,X11,X9] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X9,tc_HOL_Obool)),X11),c_Set_Oinsert(X9,X25,X10)) = c_Set_Oinsert(X9,X25,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X9,tc_HOL_Obool)),X11),X10)),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Un__insert__right) ).
fof(fact_Un__Diff__cancel,axiom,
! [X10,X11,X9] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X9,tc_HOL_Obool)),X11),c_Groups_Ominus__class_Ominus(tc_fun(X9,tc_HOL_Obool),X10,X11)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X9,tc_HOL_Obool)),X11),X10),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',fact_Un__Diff__cancel) ).
fof(help_c__fequal__1,axiom,
! [X14,X15] :
( ~ hBOOL(hAPP(hAPP(c_fequal,X15),X14))
| X15 = X14 ),
file('/export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p',help_c__fequal__1) ).
fof(c_0_53,plain,
! [X11,X9] :
( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(X9),X3),X11))
<=> X11 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool)) ),
inference(fof_simplification,[status(thm)],[fact_all__not__in__conv]) ).
fof(c_0_54,plain,
! [X2139,X2140,X2141,X2142] :
( ( hBOOL(hAPP(hAPP(c_member(X2142),X2141),X2140))
| ~ hBOOL(hAPP(hAPP(c_member(X2142),X2141),c_Groups_Ominus__class_Ominus(tc_fun(X2142,tc_HOL_Obool),X2140,X2139))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X2142),X2141),X2139))
| ~ hBOOL(hAPP(hAPP(c_member(X2142),X2141),c_Groups_Ominus__class_Ominus(tc_fun(X2142,tc_HOL_Obool),X2140,X2139))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_DiffE])])]) ).
fof(c_0_55,plain,
! [X2074,X2075,X2077,X2078,X2079] :
( ( hBOOL(hAPP(hAPP(c_member(X2075),esk100_2(X2074,X2075)),X2074))
| X2074 = c_Orderings_Obot__class_Obot(tc_fun(X2075,tc_HOL_Obool)) )
& ( X2077 != c_Orderings_Obot__class_Obot(tc_fun(X2078,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X2078),X2079),X2077)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])])]) ).
cnf(c_0_56,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_57,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk100_2(X2,X1)),X2))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_58,plain,
! [X164,X165,X166] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X166),X165),X164))
| hBOOL(hAPP(X164,X165)) )
& ( ~ hBOOL(hAPP(X164,X165))
| hBOOL(hAPP(hAPP(c_member(X166),X165),X164)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])]) ).
fof(c_0_59,plain,
! [X2151,X2152,X2153] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2153,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(X2153,tc_HOL_Obool),X2152,X2151)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2153,tc_HOL_Obool)),X2152),X2151)) = X2152,
inference(variable_rename,[status(thm)],[fact_Un__Diff__Int]) ).
fof(c_0_60,plain,
! [X1767,X1768,X1769] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1769,tc_HOL_Obool)),X1768),X1767) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1769,tc_HOL_Obool)),X1767),X1768),
inference(variable_rename,[status(thm)],[fact_Un__commute]) ).
cnf(c_0_61,plain,
( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X1),esk100_2(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X1)),X3)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_63,plain,
! [X2216,X2217,X2218,X2219] : hAPP(c_COMBK(X2219,X2218,X2217),X2216) = X2217,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_64,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)) = X2,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(X3,esk100_2(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X1))) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_68,plain,
! [X1972,X1973] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1973,tc_HOL_Obool)),X1972),c_Orderings_Obot__class_Obot(tc_fun(X1973,tc_HOL_Obool))) = X1972,
inference(variable_rename,[status(thm)],[fact_Un__empty__right]) ).
fof(c_0_69,plain,
! [X1150,X1151,X1152] : c_Orderings_Oord__class_Oless__eq(tc_fun(X1152,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1152,tc_HOL_Obool)),X1151),X1150),X1150),
inference(variable_rename,[status(thm)],[fact_Int__lower2]) ).
cnf(c_0_70,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3)) = X2,
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_COMBK(X3,X4,X5)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(X5) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = X2,
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_73,plain,
! [X1241,X1242,X1243,X1244,X1245] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1243,X1244),X1242,X1241)
| c_Orderings_Oord__class_Oless__eq(X1244,hAPP(X1242,X1245),hAPP(X1241,X1245))
| ~ class_Orderings_Oord(X1244) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X1244,hAPP(X1242,esk75_4(X1241,X1242,X1243,X1244)),hAPP(X1241,esk75_4(X1241,X1242,X1243,X1244)))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1243,X1244),X1242,X1241)
| ~ class_Orderings_Oord(X1244) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__fun__def])])])])]) ).
cnf(c_0_74,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_COMBK(X3,X4,X5)) = X2
| ~ hBOOL(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_76,plain,
( c_Orderings_Oord__class_Oless__eq(X2,hAPP(X3,X5),hAPP(X4,X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)
| ~ class_Orderings_Oord(X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_77,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_COMBK(X3,X4,X5))
| ~ hBOOL(X5) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
class_Orderings_Oord(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Oord]) ).
fof(c_0_79,plain,
! [X1598,X1599,X1600,X1601,X1602] : hAPP(c_Fun_Ofun__upd(X1602,X1601,X1600,X1599,X1598),X1599) = X1598,
inference(variable_rename,[status(thm)],[fact_fun__upd__same]) ).
fof(c_0_80,plain,
! [X1101,X1102,X1103] :
( ~ class_Lattices_Osemilattice__inf(X1103)
| ~ c_Orderings_Oord__class_Oless__eq(X1103,X1102,X1101)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1103),X1102),X1101) = X1102 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inf__absorb1])]) ).
cnf(c_0_81,plain,
( c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,hAPP(X1,X2),X3)
| ~ hBOOL(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_67]),c_0_78])]) ).
cnf(c_0_82,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X4) = X5,
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_83,plain,
! [X25,X9] : ~ hBOOL(hAPP(hAPP(c_member(X9),X25),c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[fact_emptyE]) ).
fof(c_0_84,plain,
! [X653,X654,X655] :
( ~ class_Lattices_Olattice(X655)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X655),X654),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X655),X654),X653)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X655),X654),X653) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inf__sup__aci_I4_J])]) ).
cnf(c_0_85,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_86,plain,
( c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,X2)
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Osemilattice__inf]) ).
fof(c_0_88,plain,
! [X1965,X1966] : ~ hBOOL(hAPP(hAPP(c_member(X1966),X1965),c_Orderings_Obot__class_Obot(tc_fun(X1966,tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[c_0_83]) ).
fof(c_0_89,plain,
! [X374,X375,X376,X377,X378,X379,X380] :
( ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X376,X375),X374))
| ~ hBOOL(hAPP(hAPP(X375,X377),X374))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X376,X375),X377)) )
& ( hBOOL(hAPP(hAPP(X379,esk27_3(X378,X379,X380)),X378))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X380,X379),X378)) )
& ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X380,X379),esk27_3(X378,X379,X380)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X380,X379),X378)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_accp_Osimps])])])])])]) ).
cnf(c_0_90,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_91,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),X2) = X1
| ~ hBOOL(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).
cnf(c_0_92,plain,
class_Lattices_Olattice(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Olattice]) ).
cnf(c_0_93,plain,
~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_94,plain,
( hBOOL(hAPP(hAPP(X1,esk27_3(X2,X1,X3)),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X3,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_95,plain,
! [X663,X664,X665,X666] :
( ~ class_Lattices_Olattice(X666)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X666),X665),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X666),X664),X663)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X666),X664),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X666),X665),X663)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inf__sup__aci_I3_J])]) ).
cnf(c_0_96,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),X1) = X1
| ~ hBOOL(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_97,plain,
hBOOL(hAPP(c_Wellfounded_Oaccp(X1,c_member(X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
fof(c_0_98,plain,
! [X544,X545,X546] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X546,tc_HOL_Obool)),X545),X544) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X546,tc_HOL_Obool)),X544),X545),
inference(variable_rename,[status(thm)],[fact_Int__commute]) ).
fof(c_0_99,plain,
! [X28,X29,X50,X9] :
( class_Lattices_Osemilattice__inf(X9)
=> ( c_Orderings_Oord__class_Oless__eq(X9,X50,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X9),X29),X28))
=> ~ ( c_Orderings_Oord__class_Oless__eq(X9,X50,X29)
=> ~ c_Orderings_Oord__class_Oless__eq(X9,X50,X28) ) ) ),
inference(fof_simplification,[status(thm)],[fact_le__infE]) ).
fof(c_0_100,plain,
! [X1116,X1117,X1118] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X1118,X1117,X1116)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1118),X1117),X1116) = X1117
| ~ class_Lattices_Osemilattice__inf(X1118) )
& ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1118),X1117),X1116) != X1117
| c_Orderings_Oord__class_Oless__eq(X1118,X1117,X1116)
| ~ class_Lattices_Osemilattice__inf(X1118) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__iff__inf])])]) ).
cnf(c_0_101,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_102,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_104,plain,
! [X1081,X1082,X1083,X1084] :
( ( c_Orderings_Oord__class_Oless__eq(X1084,X1083,X1082)
| ~ c_Orderings_Oord__class_Oless__eq(X1084,X1083,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1084),X1082),X1081))
| ~ class_Lattices_Osemilattice__inf(X1084) )
& ( c_Orderings_Oord__class_Oless__eq(X1084,X1083,X1081)
| ~ c_Orderings_Oord__class_Oless__eq(X1084,X1083,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1084),X1082),X1081))
| ~ class_Lattices_Osemilattice__inf(X1084) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])]) ).
cnf(c_0_105,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) != X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_106,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X2),X1)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X2),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_92])]) ).
cnf(c_0_107,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_COMBK(X2,X3,X4)),X5) = X5
| ~ hBOOL(X4) ),
inference(spm,[status(thm)],[c_0_103,c_0_75]) ).
fof(c_0_108,plain,
! [X2240,X2241] :
( X2241 != X2240
| hBOOL(hAPP(hAPP(c_fequal,X2241),X2240)) ),
inference(variable_rename,[status(thm)],[help_c__fequal__2]) ).
cnf(c_0_109,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_110,plain,
( c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X2),X1))
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X2),X1) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_87])]) ).
cnf(c_0_111,plain,
( c_COMBK(X1,X2,X3) = c_COMBK(X4,X5,X6)
| ~ hBOOL(X3)
| ~ hBOOL(X6) ),
inference(spm,[status(thm)],[c_0_75,c_0_107]) ).
cnf(c_0_112,plain,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
fof(c_0_113,plain,
! [X19] :
( hBOOL(X19)
| hBOOL(hAPP(c_fNot,X19)) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__2]) ).
fof(c_0_114,plain,
! [X1873,X1874,X1875] :
( ~ class_Lattices_Osemilattice__sup(X1875)
| ~ c_Orderings_Oord__class_Oless__eq(X1875,X1874,X1873)
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1875),X1873),X1874) = X1873 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sup__absorb1])]) ).
fof(c_0_115,plain,
! [X1855,X1856,X1857] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X1857,X1856,X1855)
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1857),X1856),X1855) = X1855
| ~ class_Lattices_Osemilattice__sup(X1857) )
& ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1857),X1856),X1855) != X1855
| c_Orderings_Oord__class_Oless__eq(X1857,X1856,X1855)
| ~ class_Lattices_Osemilattice__sup(X1857) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__iff__sup])])]) ).
cnf(c_0_116,plain,
( c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,X2)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X2),X1) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_87])]) ).
fof(c_0_117,plain,
! [X19] :
( ~ hBOOL(hAPP(c_fNot,X19))
| ~ hBOOL(X19) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_118,plain,
( X1 = X2
| ~ hBOOL(X1)
| ~ hBOOL(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_111]),c_0_67]) ).
cnf(c_0_119,plain,
hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
inference(er,[status(thm)],[c_0_112]) ).
fof(c_0_120,plain,
! [X2243] :
( hBOOL(X2243)
| hBOOL(hAPP(c_fNot,X2243)) ),
inference(variable_rename,[status(thm)],[c_0_113]) ).
fof(c_0_121,plain,
! [X118,X119,X120,X122,X123,X124,X125,X126,X129] :
( ( ~ hBOOL(hAPP(X120,esk4_3(X118,X119,X120)))
| hBOOL(hAPP(X120,hAPP(hAPP(c_Product__Type_OPair(X119,X118),X122),X123))) )
& ( ~ hBOOL(hAPP(X126,hAPP(hAPP(c_Product__Type_OPair(X125,X124),esk5_3(X124,X125,X126)),esk6_3(X124,X125,X126))))
| hBOOL(hAPP(X126,X129)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__paired__All])])])])]) ).
cnf(c_0_122,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X2) = X3
| ~ class_Lattices_Osemilattice__sup(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_123,plain,
class_Lattices_Osemilattice__sup(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Osemilattice__sup]) ).
fof(c_0_124,plain,
! [X1976,X1977,X1978] :
( ( X1977 = c_Orderings_Obot__class_Obot(X1978)
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1978),X1977),X1976) != c_Orderings_Obot__class_Obot(X1978)
| ~ class_Lattices_Obounded__lattice__bot(X1978) )
& ( X1976 = c_Orderings_Obot__class_Obot(X1978)
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1978),X1977),X1976) != c_Orderings_Obot__class_Obot(X1978)
| ~ class_Lattices_Obounded__lattice__bot(X1978) )
& ( X1977 != c_Orderings_Obot__class_Obot(X1978)
| X1976 != c_Orderings_Obot__class_Obot(X1978)
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1978),X1977),X1976) = c_Orderings_Obot__class_Obot(X1978)
| ~ class_Lattices_Obounded__lattice__bot(X1978) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sup__eq__bot__iff])])]) ).
cnf(c_0_125,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3) = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__sup(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_126,plain,
c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),X2),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_90]),c_0_92])]) ).
fof(c_0_127,plain,
! [X2242] :
( ~ hBOOL(hAPP(c_fNot,X2242))
| ~ hBOOL(X2242) ),
inference(variable_rename,[status(thm)],[c_0_117]) ).
cnf(c_0_128,plain,
( hAPP(hAPP(c_fequal,X1),X1) = X2
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_129,plain,
( hBOOL(X1)
| hBOOL(hAPP(c_fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_130,plain,
( hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),esk5_3(X3,X2,X1)),esk6_3(X3,X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_131,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),X1),X2) = X1
| ~ hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_86]),c_0_123])]) ).
fof(c_0_132,plain,
! [X78,X79] :
( hAPP(X79,esk1_2(X78,X79)) != hAPP(X78,esk1_2(X78,X79))
| X79 = X78 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])]) ).
cnf(c_0_133,plain,
( X1 = c_Orderings_Obot__class_Obot(X2)
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X2),X1),X3) != c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice__bot(X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_134,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),X2)),X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_123])]) ).
cnf(c_0_135,plain,
class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Obounded__lattice__bot]) ).
fof(c_0_136,plain,
! [X2080,X2081,X2082] :
( ~ class_Orderings_Obot(X2082)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2081,X2082)),X2080) = c_Orderings_Obot__class_Obot(X2082) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__apply])]) ).
cnf(c_0_137,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_138,plain,
( hAPP(hAPP(c_fequal,X1),X1) = hAPP(c_fNot,X2)
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_139,plain,
( hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),X1),X2))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_140,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_141,plain,
! [X2049,X2050,X2051,X2052,X2053,X2054,X2055,X2056] :
( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2051,tc_HOL_Obool)),X2050),X2049) != c_Orderings_Obot__class_Obot(tc_fun(X2051,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X2051),X2052),X2050))
| ~ hBOOL(hAPP(hAPP(c_member(X2051),X2053),X2049))
| X2052 != X2053 )
& ( hBOOL(hAPP(hAPP(c_member(X2056),esk97_3(X2054,X2055,X2056)),X2055))
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2056,tc_HOL_Obool)),X2055),X2054) = c_Orderings_Obot__class_Obot(tc_fun(X2056,tc_HOL_Obool)) )
& ( hBOOL(hAPP(hAPP(c_member(X2056),esk98_3(X2054,X2055,X2056)),X2054))
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2056,tc_HOL_Obool)),X2055),X2054) = c_Orderings_Obot__class_Obot(tc_fun(X2056,tc_HOL_Obool)) )
& ( esk97_3(X2054,X2055,X2056) = esk98_3(X2054,X2055,X2056)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2056,tc_HOL_Obool)),X2055),X2054) = c_Orderings_Obot__class_Obot(tc_fun(X2056,tc_HOL_Obool)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_disjoint__iff__not__equal])])])])])]) ).
cnf(c_0_142,plain,
( X1 = X2
| hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_143,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool)),X1) = c_Orderings_Obot__class_Obot(tc_HOL_Obool),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])])]) ).
cnf(c_0_144,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,X1)),X3) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_145,plain,
class_Orderings_Obot(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Obot]) ).
cnf(c_0_146,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
inference(split_conjunct,[status(thm)],[fact__096F_AQ_A_058_ALin_096]) ).
cnf(c_0_147,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[fact__096P_A_058_AProf_096]) ).
cnf(c_0_148,plain,
( hAPP(hAPP(c_fequal,X1),X1) = hAPP(c_fNot,hAPP(c_fNot,X2))
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_149,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),X2)) ),
inference(spm,[status(thm)],[c_0_139,c_0_134]) ).
cnf(c_0_150,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk100_2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_140,c_0_57]) ).
cnf(c_0_151,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[fact__096P_H_A_058_AProf_096]) ).
cnf(c_0_152,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X2))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X5),X3))
| X4 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_153,plain,
( X1 = hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool))
| hAPP(X1,esk1_2(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool)),X1)) != c_Orderings_Obot__class_Obot(tc_HOL_Obool) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_154,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_Orderings_Obot__class_Obot(tc_HOL_Obool),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_155,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____))),
inference(spm,[status(thm)],[c_0_140,c_0_146]) ).
cnf(c_0_156,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)),
inference(spm,[status(thm)],[c_0_140,c_0_147]) ).
cnf(c_0_157,plain,
hAPP(hAPP(c_fequal,X1),X1) = hAPP(c_fNot,hAPP(c_fNot,hAPP(hAPP(c_fequal,X2),X2))),
inference(spm,[status(thm)],[c_0_148,c_0_119]) ).
cnf(c_0_158,plain,
( hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_159,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____)),
inference(spm,[status(thm)],[c_0_140,c_0_151]) ).
cnf(c_0_160,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X2)) ),
inference(er,[status(thm)],[c_0_152]) ).
fof(c_0_161,plain,
! [X542,X543] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X543,tc_HOL_Obool)),X542),X542) = X542,
inference(variable_rename,[status(thm)],[fact_Int__absorb]) ).
cnf(c_0_162,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_163,plain,
( hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____)) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_155]) ).
cnf(c_0_164,plain,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_156]) ).
cnf(c_0_165,plain,
~ hBOOL(hAPP(c_fNot,hAPP(hAPP(c_fequal,X1),X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_157]),c_0_119])]) ).
cnf(c_0_166,plain,
( c_Orderings_Obot__class_Obot(tc_HOL_Obool) = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_158]),c_0_154]) ).
cnf(c_0_167,plain,
hAPP(hAPP(c_fequal,X1),X1) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____),
inference(spm,[status(thm)],[c_0_128,c_0_159]) ).
cnf(c_0_168,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),X1)) ),
inference(spm,[status(thm)],[c_0_160,c_0_146]) ).
cnf(c_0_169,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_170,plain,
~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(v_F,tc_HOL_Obool)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_162]),c_0_162]) ).
cnf(c_0_171,plain,
hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____)) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),
inference(spm,[status(thm)],[c_0_163,c_0_156]) ).
cnf(c_0_172,plain,
hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____),
inference(spm,[status(thm)],[c_0_164,c_0_159]) ).
cnf(c_0_173,plain,
c_Orderings_Obot__class_Obot(tc_HOL_Obool) = hAPP(c_fNot,hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).
cnf(c_0_174,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OProf) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),X1)) ),
inference(spm,[status(thm)],[c_0_160,c_0_147]) ).
cnf(c_0_175,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool)) != c_Arrow__Order__Mirabelle_OLin,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_146])]) ).
cnf(c_0_176,plain,
c_Orderings_Obot__class_Obot(tc_fun(v_F,tc_HOL_Obool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_170,c_0_57]) ).
cnf(c_0_177,plain,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = X1
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_171]),c_0_172]) ).
cnf(c_0_178,plain,
( hAPP(c_fNot,hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____)) = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_166,c_0_173]) ).
cnf(c_0_179,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool)) != c_Arrow__Order__Mirabelle_OProf,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_169]),c_0_147])]) ).
cnf(c_0_180,plain,
c_Orderings_Obot__class_Obot(tc_fun(v_F,tc_HOL_Obool)) != c_Arrow__Order__Mirabelle_OLin,
inference(rw,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_181,plain,
( hAPP(c_fNot,hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____)) = X1
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = X1 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
fof(c_0_182,plain,
! [X903,X904,X905,X906,X907] :
( ~ hBOOL(hAPP(hAPP(X907,X906),X905))
| c_Predicate_ORangeP(X904,X903,X907,X905) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_RangeP_Ointros])]) ).
fof(c_0_183,plain,
! [X24,X25,X13] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13),c_Arrow__Order__Mirabelle_OLin))
=> ( 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),X25),X24)),X13))
=> ~ 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),X24),X25)),X13)) ) ),
inference(fof_simplification,[status(thm)],[fact_Lin__irrefl]) ).
fof(c_0_184,plain,
! [X310,X311,X312] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X312),X311),hAPP(c_fequal,X310)))
| X311 = X310 )
& ( X311 != X310
| hBOOL(hAPP(hAPP(c_member(X312),X311),hAPP(c_fequal,X310))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__mem])]) ).
cnf(c_0_185,plain,
c_Orderings_Obot__class_Obot(tc_fun(v_F,tc_HOL_Obool)) != c_Arrow__Order__Mirabelle_OProf,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_162]),c_0_162]) ).
cnf(c_0_186,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_Arrow__Order__Mirabelle_OLin,
inference(spm,[status(thm)],[c_0_180,c_0_176]) ).
cnf(c_0_187,plain,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = X1
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = X2
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_181,c_0_181]) ).
fof(c_0_188,plain,
! [X908,X909,X910,X911,X913,X914,X915,X916,X917] :
( ( ~ c_Predicate_ORangeP(X911,X910,X909,X908)
| hBOOL(hAPP(hAPP(X909,esk71_2(X908,X909)),X908)) )
& ( ~ hBOOL(hAPP(hAPP(X914,X915),X913))
| c_Predicate_ORangeP(X917,X916,X914,X913) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_RangeP_Oequations])])])])]) ).
cnf(c_0_189,plain,
( c_Predicate_ORangeP(X4,X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
fof(c_0_190,plain,
! [X146,X147,X148] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X148),c_Arrow__Order__Mirabelle_OLin))
| ~ 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),X147),X146)),X148))
| ~ 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),X146),X147)),X148)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_183])]) ).
fof(c_0_191,plain,
! [X1430,X1431,X1432] : hBOOL(hAPP(hAPP(c_member(X1432),X1431),c_Set_Oinsert(X1432,X1431,X1430))),
inference(variable_rename,[status(thm)],[fact_insertI1]) ).
cnf(c_0_192,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_fequal,X2)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_193,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_Arrow__Order__Mirabelle_OProf,
inference(spm,[status(thm)],[c_0_185,c_0_176]) ).
cnf(c_0_194,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____)
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = c_Arrow__Order__Mirabelle_OLin ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187])]) ).
cnf(c_0_195,plain,
( hBOOL(hAPP(hAPP(X3,esk71_2(X4,X3)),X4))
| ~ c_Predicate_ORangeP(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_196,plain,
( c_Predicate_ORangeP(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X3)
| ~ hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_189,c_0_102]) ).
cnf(c_0_197,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ 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),X2),X3)),X1))
| ~ 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),X3),X2)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_198,plain,
hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oinsert(X1,X2,X3))),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_199,plain,
hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_fequal,X2))),
inference(er,[status(thm)],[c_0_192]) ).
cnf(c_0_200,plain,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = c_Arrow__Order__Mirabelle_OLin
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) != c_Arrow__Order__Mirabelle_OProf ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_201,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),X2) = X2
| ~ hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),X1),X2)) ),
inference(spm,[status(thm)],[c_0_91,c_0_106]) ).
cnf(c_0_202,plain,
( hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),esk71_2(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool))),X1))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
fof(c_0_203,plain,
! [X20,X9] :
( c_Relation_Oirrefl(X9,X20)
<=> ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X9,X9)),hAPP(hAPP(c_Product__Type_OPair(X9,X9),X3),X3)),X20)) ),
inference(fof_simplification,[status(thm)],[fact_irrefl__def]) ).
cnf(c_0_204,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),X1),X2)),c_Set_Oinsert(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),X2),X1),X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Set_Oinsert(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),X2),X1),X3)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_205,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_fequal,X3)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X2)) ),
inference(spm,[status(thm)],[c_0_160,c_0_199]) ).
cnf(c_0_206,plain,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = X1
| c_Arrow__Order__Mirabelle_OLin = c_Arrow__Order__Mirabelle_OProf
| c_Arrow__Order__Mirabelle_OProf = X1 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_187])]) ).
fof(c_0_207,plain,
! [X1278,X1279,X1280,X1281] :
( ~ class_Orderings_Oorder(X1281)
| ~ c_Orderings_Oord__class_Oless__eq(X1281,X1280,X1279)
| ~ c_Orderings_Oord__class_Oless__eq(X1281,X1278,X1280)
| c_Orderings_Oord__class_Oless__eq(X1281,X1278,X1279) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I6_J])]) ).
cnf(c_0_208,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool),esk71_2(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool))),X1) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_209,plain,
( hBOOL(esk71_2(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool)))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_202,c_0_91]) ).
fof(c_0_210,plain,
! [X825,X826,X827,X828,X829] :
( ( ~ c_Relation_Oirrefl(X826,X825)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X826,X826)),hAPP(hAPP(c_Product__Type_OPair(X826,X826),X827),X827)),X825)) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X829,X829)),hAPP(hAPP(c_Product__Type_OPair(X829,X829),esk58_2(X828,X829)),esk58_2(X828,X829))),X828))
| c_Relation_Oirrefl(X829,X828) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_203])])])])]) ).
fof(c_0_211,plain,
! [X1406,X1407,X1408,X1409] :
( ( ~ hBOOL(hAPP(c_Set_Oinsert(X1409,X1408,X1407),X1406))
| X1408 = X1406
| hBOOL(hAPP(X1407,X1406)) )
& ( X1408 != X1406
| hBOOL(hAPP(c_Set_Oinsert(X1409,X1408,X1407),X1406)) )
& ( ~ hBOOL(hAPP(X1407,X1406))
| hBOOL(hAPP(c_Set_Oinsert(X1409,X1408,X1407),X1406)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__code])])]) ).
cnf(c_0_212,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Set_Oinsert(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),X1),X1),X2)),c_Arrow__Order__Mirabelle_OLin)),
inference(spm,[status(thm)],[c_0_204,c_0_198]) ).
fof(c_0_213,plain,
! [X1415,X1416,X1417] :
( ~ hBOOL(hAPP(hAPP(c_member(X1417),X1416),X1415))
| c_Set_Oinsert(X1417,X1416,X1415) = X1415 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__absorb])]) ).
cnf(c_0_214,plain,
hAPP(c_fequal,X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_169]),c_0_199])]) ).
cnf(c_0_215,plain,
( c_Arrow__Order__Mirabelle_OLin = c_Arrow__Order__Mirabelle_OProf
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) != c_Arrow__Order__Mirabelle_OLin ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_206]),c_0_193]) ).
cnf(c_0_216,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_217,plain,
class_Orderings_Oorder(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Oorder]) ).
cnf(c_0_218,plain,
( c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,esk71_2(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool)))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_208]) ).
cnf(c_0_219,plain,
( hAPP(hAPP(c_fequal,X1),X1) = esk71_2(X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool))
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_209]) ).
cnf(c_0_220,plain,
( ~ c_Relation_Oirrefl(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X3)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_221,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_222,plain,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,c_Set_Oinsert(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),X1),X1),X2))),
inference(spm,[status(thm)],[c_0_212,c_0_62]) ).
cnf(c_0_223,plain,
( c_Set_Oinsert(X1,X2,X3) = X3
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_213]) ).
fof(c_0_224,plain,
! [X1557,X1558,X1559,X1560] : c_Fun_Ofun__upd(X1560,X1559,X1558,X1557,hAPP(X1558,X1557)) = X1558,
inference(variable_rename,[status(thm)],[fact_fun__upd__triv]) ).
cnf(c_0_225,plain,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = c_Arrow__Order__Mirabelle_OLin
| hAPP(c_fequal,X1) != hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) ),
inference(spm,[status(thm)],[c_0_214,c_0_194]) ).
cnf(c_0_226,plain,
c_Arrow__Order__Mirabelle_OLin = c_Arrow__Order__Mirabelle_OProf,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_206])]) ).
cnf(c_0_227,plain,
( c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X3,X2)
| ~ hBOOL(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_86]),c_0_217])]) ).
cnf(c_0_228,plain,
( c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,hAPP(hAPP(c_fequal,X2),X2))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_229,plain,
hAPP(hAPP(c_fequal,X1),X1) = hAPP(hAPP(c_member(X2),X3),hAPP(c_fequal,X3)),
inference(spm,[status(thm)],[c_0_128,c_0_199]) ).
cnf(c_0_230,plain,
( ~ c_Relation_Oirrefl(X1,X2)
| ~ hBOOL(hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X3))) ),
inference(spm,[status(thm)],[c_0_220,c_0_62]) ).
cnf(c_0_231,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X2)),
inference(er,[status(thm)],[c_0_221]) ).
cnf(c_0_232,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),X1),X1)),X2))
| ~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,X2)) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_233,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk58_2(X2,X1)),esk58_2(X2,X1))),X2))
| c_Relation_Oirrefl(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_234,plain,
hAPP(hAPP(c_fequal,X1),X1) = hAPP(hAPP(c_fequal,X2),X2),
inference(spm,[status(thm)],[c_0_128,c_0_119]) ).
cnf(c_0_235,plain,
c_Fun_Ofun__upd(X1,X2,X3,X4,hAPP(X3,X4)) = X3,
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_236,plain,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = c_Arrow__Order__Mirabelle_OProf
| hAPP(c_fequal,X1) != hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) ),
inference(rw,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_237,plain,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = X1
| X1 = X2
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_187]) ).
cnf(c_0_238,plain,
( c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,hAPP(hAPP(c_fequal,X2),X2))
| ~ hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_239,plain,
c_Predicate_ORangeP(X1,X2,c_member(X3),hAPP(c_fequal,X4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_229]),c_0_119])]) ).
cnf(c_0_240,plain,
~ c_Relation_Oirrefl(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X3),X4)),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_241,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,X1)
| ~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,X1)) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_242,plain,
c_Predicate_ORangeP(X1,X2,c_fequal,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_234]),c_0_119])]) ).
cnf(c_0_243,plain,
c_Fun_Ofun__upd(X1,X2,c_Arrow__Order__Mirabelle_OProf,v_P____,hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____)) = c_Arrow__Order__Mirabelle_OProf,
inference(spm,[status(thm)],[c_0_235,c_0_172]) ).
cnf(c_0_244,plain,
( hAPP(c_fequal,X1) = c_Arrow__Order__Mirabelle_OProf
| hAPP(c_fequal,X1) = X2
| hBOOL(X2) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237])]) ).
fof(c_0_245,plain,
! [X1992,X1993,X1994] : c_Set_Oinsert(X1994,X1993,X1992) != c_Orderings_Obot__class_Obot(tc_fun(X1994,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_insert__not__empty]) ).
fof(c_0_246,plain,
! [X1929,X1930,X1931,X1932] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1932,tc_HOL_Obool)),X1931),c_Set_Oinsert(X1932,X1930,X1929)) = c_Set_Oinsert(X1932,X1930,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1932,tc_HOL_Obool)),X1931),X1929)),
inference(variable_rename,[status(thm)],[fact_Un__insert__right]) ).
fof(c_0_247,plain,
! [X2161,X2162,X2163] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2163,tc_HOL_Obool)),X2162),c_Groups_Ominus__class_Ominus(tc_fun(X2163,tc_HOL_Obool),X2161,X2162)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2163,tc_HOL_Obool)),X2162),X2161),
inference(variable_rename,[status(thm)],[fact_Un__Diff__cancel]) ).
cnf(c_0_248,plain,
c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,hAPP(hAPP(c_fequal,X2),X2)),
inference(spm,[status(thm)],[c_0_238,c_0_97]) ).
cnf(c_0_249,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_fequal,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_250,plain,
hBOOL(hAPP(hAPP(c_member(X1),esk71_2(hAPP(c_fequal,X2),c_member(X1))),hAPP(c_fequal,X2))),
inference(spm,[status(thm)],[c_0_195,c_0_239]) ).
cnf(c_0_251,plain,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,c_Set_Oinsert(X1,hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X2),X3))),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_252,plain,
hBOOL(hAPP(hAPP(c_fequal,esk71_2(X1,c_fequal)),X1)),
inference(spm,[status(thm)],[c_0_195,c_0_242]) ).
cnf(c_0_253,plain,
( hAPP(c_fequal,X1) = c_Arrow__Order__Mirabelle_OProf
| hBOOL(c_Arrow__Order__Mirabelle_OProf) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_243]) ).
cnf(c_0_254,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_255,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Set_Oinsert(X1,X3,X4)) = c_Set_Oinsert(X1,X3,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X4)),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_256,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_257,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),esk71_2(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool))),X1) = esk71_2(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool))
| ~ hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_218]),c_0_123])]) ).
cnf(c_0_258,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),X1),hAPP(hAPP(c_fequal,X2),X2)) = hAPP(hAPP(c_fequal,X2),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_248]),c_0_123])]) ).
cnf(c_0_259,plain,
esk71_2(hAPP(c_fequal,X1),c_member(X2)) = X1,
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_260,plain,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_Set_Oinsert(X1,hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X2),X3))),
inference(spm,[status(thm)],[c_0_251,c_0_226]) ).
cnf(c_0_261,plain,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,X1))
| hBOOL(c_Arrow__Order__Mirabelle_OProf) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_262,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Set_Oinsert(X1,X3,X4)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_263,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_COMBK(X2,X3,X4)),X5) = c_COMBK(X2,X3,X4)
| ~ hBOOL(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_71]),c_0_72]) ).
cnf(c_0_264,plain,
( X1 = c_COMBK(X2,X3,X4)
| hAPP(X1,esk1_2(c_COMBK(X2,X3,X4),X1)) != X4 ),
inference(spm,[status(thm)],[c_0_142,c_0_67]) ).
cnf(c_0_265,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),hAPP(hAPP(c_fequal,X1),X1)),X2) = hAPP(hAPP(c_fequal,X1),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_248]),c_0_123])]) ).
cnf(c_0_266,plain,
esk71_2(hAPP(hAPP(c_fequal,X1),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool)) = hAPP(hAPP(c_fequal,X1),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_119])]) ).
cnf(c_0_267,plain,
hAPP(hAPP(c_fequal,v_F),v_F) = hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_250]),c_0_259]),c_0_229]) ).
cnf(c_0_268,plain,
hBOOL(c_Arrow__Order__Mirabelle_OProf),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_269,plain,
( c_COMBK(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))
| ~ hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_270,plain,
c_COMBK(X1,X2,hAPP(hAPP(c_fequal,X3),X3)) = hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),hAPP(hAPP(c_fequal,X3),X3)),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265])]) ).
cnf(c_0_271,plain,
esk71_2(hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____)),c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool)) = hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____)),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_272,plain,
hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____) = c_Arrow__Order__Mirabelle_OProf,
inference(spm,[status(thm)],[c_0_177,c_0_268]) ).
cnf(c_0_273,plain,
hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),hAPP(hAPP(c_fequal,X1),X1)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_119])]) ).
cnf(c_0_274,plain,
esk71_2(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool)) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_171]),c_0_171]) ).
cnf(c_0_275,plain,
( hAPP(c_fNot,c_Arrow__Order__Mirabelle_OProf) = X1
| c_Arrow__Order__Mirabelle_OProf = X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_272]),c_0_272]) ).
cnf(c_0_276,plain,
( hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),esk71_2(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool))) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_273,c_0_219]) ).
cnf(c_0_277,plain,
esk71_2(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____),c_Lattices_Osemilattice__inf__class_Oinf(tc_HOL_Obool)) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_172]),c_0_172]) ).
cnf(c_0_278,plain,
hAPP(c_fequal,X1) != hAPP(c_fNot,c_Arrow__Order__Mirabelle_OProf),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_275]),c_0_193]) ).
cnf(c_0_279,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_159])]) ).
cnf(c_0_280,plain,
( X1 = hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),X2)
| hAPP(X1,esk1_2(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),X2),X1)) != X2
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_131]) ).
cnf(c_0_281,plain,
hAPP(c_fequal,X1) = c_Arrow__Order__Mirabelle_OProf,
inference(spm,[status(thm)],[c_0_278,c_0_275]) ).
cnf(c_0_282,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf),
inference(rw,[status(thm)],[c_0_279,c_0_272]) ).
cnf(c_0_283,plain,
hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf) = c_fequal,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281])]),c_0_268])]) ).
cnf(c_0_284,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_fequal,
inference(rw,[status(thm)],[c_0_282,c_0_283]) ).
fof(c_0_285,plain,
! [X14,X15] :
( ~ hBOOL(hAPP(hAPP(c_fequal,X15),X14))
| X15 = X14 ),
inference(fof_simplification,[status(thm)],[help_c__fequal__1]) ).
cnf(c_0_286,plain,
hAPP(c_fNot,c_Arrow__Order__Mirabelle_OProf) != c_fequal,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_275]),c_0_193]) ).
fof(c_0_287,plain,
! [X2238,X2239] :
( ~ hBOOL(hAPP(hAPP(c_fequal,X2239),X2238))
| X2239 = X2238 ),
inference(variable_rename,[status(thm)],[c_0_285]) ).
cnf(c_0_288,plain,
hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = c_Arrow__Order__Mirabelle_OProf,
inference(rw,[status(thm)],[c_0_172,c_0_272]) ).
cnf(c_0_289,plain,
c_Arrow__Order__Mirabelle_OProf = c_fequal,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_275])]) ).
cnf(c_0_290,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_287]) ).
cnf(c_0_291,plain,
hAPP(c_fequal,v_P____) = c_fequal,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_289]),c_0_289]) ).
cnf(c_0_292,plain,
hBOOL(c_fequal),
inference(rw,[status(thm)],[c_0_268,c_0_289]) ).
cnf(c_0_293,plain,
hAPP(c_fNot,c_fequal) != c_fequal,
inference(rw,[status(thm)],[c_0_286,c_0_289]) ).
cnf(c_0_294,plain,
v_P____ = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_281]),c_0_289]),c_0_292])]) ).
cnf(c_0_295,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_294]),c_0_294]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SCT128+1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.15 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n032.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Oct 2 11:40:34 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.nX0yGEZzPW/E---3.1_5265.p
% 2173.48/277.63 # Version: 3.1pre001
% 2173.48/277.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2173.48/277.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2173.48/277.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2173.48/277.63 # Starting new_bool_3 with 300s (1) cores
% 2173.48/277.63 # Starting new_bool_1 with 300s (1) cores
% 2173.48/277.63 # Starting sh5l with 300s (1) cores
% 2173.48/277.63 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 5343 completed with status 0
% 2173.48/277.63 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2173.48/277.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2173.48/277.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2173.48/277.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2173.48/277.63 # No SInE strategy applied
% 2173.48/277.63 # Search class: FGHSM-FSLM33-DFFFFFNN
% 2173.48/277.63 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 2173.48/277.63 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 2173.48/277.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2173.48/277.63 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2173.48/277.63 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 2173.48/277.63 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 2173.48/277.63 # G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with pid 5353 completed with status 7
% 2173.48/277.63 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2173.48/277.63 # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 5354 completed with status 7
% 2173.48/277.63 # Starting U----_206d_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2173.48/277.63 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 5352 completed with status 7
% 2173.48/277.63 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 2173.48/277.63 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 5351 completed with status 7
% 2173.48/277.63 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 2173.48/277.63 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with pid 5350 completed with status 7
% 2173.48/277.63 # Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 126s (1) cores
% 2173.48/277.63 # U----_206d_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 6108 completed with status 7
% 2173.48/277.63 # U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 6107 completed with status 7
% 2173.48/277.63 # U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 6186 completed with status 0
% 2173.48/277.63 # Result found by U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 2173.48/277.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2173.48/277.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2173.48/277.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2173.48/277.63 # No SInE strategy applied
% 2173.48/277.63 # Search class: FGHSM-FSLM33-DFFFFFNN
% 2173.48/277.63 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 2173.48/277.63 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 2173.48/277.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2173.48/277.63 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2173.48/277.63 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 2173.48/277.63 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 2173.48/277.63 # G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with pid 5353 completed with status 7
% 2173.48/277.63 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2173.48/277.63 # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 5354 completed with status 7
% 2173.48/277.63 # Starting U----_206d_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2173.48/277.63 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 5352 completed with status 7
% 2173.48/277.63 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 2173.48/277.63 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 5351 completed with status 7
% 2173.48/277.63 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 2173.48/277.63 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with pid 5350 completed with status 7
% 2173.48/277.63 # Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 126s (1) cores
% 2173.48/277.63 # Preprocessing time : 0.013 s
% 2173.48/277.63 # Presaturation interreduction done
% 2173.48/277.63
% 2173.48/277.63 # Proof found!
% 2173.48/277.63 # SZS status ContradictoryAxioms
% 2173.48/277.63 # SZS output start CNFRefutation
% See solution above
% 2173.48/277.63 # Parsed axioms : 533
% 2173.48/277.63 # Removed by relevancy pruning/SinE : 0
% 2173.48/277.63 # Initial clauses : 807
% 2173.48/277.63 # Removed in clause preprocessing : 38
% 2173.48/277.63 # Initial clauses in saturation : 769
% 2173.48/277.63 # Processed clauses : 10314
% 2173.48/277.63 # ...of these trivial : 268
% 2173.48/277.63 # ...subsumed : 7028
% 2173.48/277.63 # ...remaining for further processing : 3018
% 2173.48/277.63 # Other redundant clauses eliminated : 3138
% 2173.48/277.63 # Clauses deleted for lack of memory : 0
% 2173.48/277.63 # Backward-subsumed : 143
% 2173.48/277.63 # Backward-rewritten : 2168
% 2173.48/277.63 # Generated clauses : 182028
% 2173.48/277.63 # ...of the previous two non-redundant : 170580
% 2173.48/277.63 # ...aggressively subsumed : 0
% 2173.48/277.63 # Contextual simplify-reflections : 5
% 2173.48/277.63 # Paramodulations : 178834
% 2173.48/277.63 # Factorizations : 51
% 2173.48/277.63 # NegExts : 0
% 2173.48/277.63 # Equation resolutions : 3152
% 2173.48/277.63 # Total rewrite steps : 36530
% 2173.48/277.63 # Propositional unsat checks : 0
% 2173.48/277.63 # Propositional check models : 0
% 2173.48/277.63 # Propositional check unsatisfiable : 0
% 2173.48/277.63 # Propositional clauses : 0
% 2173.48/277.63 # Propositional clauses after purity: 0
% 2173.48/277.63 # Propositional unsat core size : 0
% 2173.48/277.63 # Propositional preprocessing time : 0.000
% 2173.48/277.63 # Propositional encoding time : 0.000
% 2173.48/277.63 # Propositional solver time : 0.000
% 2173.48/277.63 # Success case prop preproc time : 0.000
% 2173.48/277.63 # Success case prop encoding time : 0.000
% 2173.48/277.63 # Success case prop solver time : 0.000
% 2173.48/277.63 # Current number of processed clauses : 16
% 2173.48/277.63 # Positive orientable unit clauses : 3
% 2173.48/277.63 # Positive unorientable unit clauses: 1
% 2173.48/277.63 # Negative unit clauses : 3
% 2173.48/277.63 # Non-unit-clauses : 9
% 2173.48/277.63 # Current number of unprocessed clauses: 159671
% 2173.48/277.63 # ...number of literals in the above : 550009
% 2173.48/277.63 # Current number of archived formulas : 0
% 2173.48/277.63 # Current number of archived clauses : 2939
% 2173.48/277.63 # Clause-clause subsumption calls (NU) : 325036
% 2173.48/277.63 # Rec. Clause-clause subsumption calls : 186006
% 2173.48/277.63 # Non-unit clause-clause subsumptions : 4125
% 2173.48/277.63 # Unit Clause-clause subsumption calls : 58323
% 2173.48/277.63 # Rewrite failures with RHS unbound : 0
% 2173.48/277.63 # BW rewrite match attempts : 7791
% 2173.48/277.63 # BW rewrite match successes : 2026
% 2173.48/277.63 # Condensation attempts : 0
% 2173.48/277.63 # Condensation successes : 0
% 2173.48/277.63 # Termbank termtop insertions : 3898752
% 2173.48/277.63
% 2173.48/277.63 # -------------------------------------------------
% 2173.48/277.63 # User time : 1092.519 s
% 2173.48/277.63 # System time : 14.240 s
% 2173.48/277.63 # Total time : 1106.759 s
% 2173.48/277.63 # Maximum resident set size: 6116 pages
% 2173.48/277.63
% 2173.48/277.63 # -------------------------------------------------
% 2173.48/277.63 # User time : 1340.101 s
% 2173.48/277.63 # System time : 18.143 s
% 2173.48/277.63 # Total time : 1358.244 s
% 2173.48/277.63 # Maximum resident set size: 2536 pages
% 2173.48/277.63 % E---3.1 exiting
% 2173.48/277.63 % E---3.1 exiting
%------------------------------------------------------------------------------