TSTP Solution File: ITP021+5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP021+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : 300s
% DateTime : Sat May 4 08:06:37 EDT 2024
% Result : Theorem 81.61s 29.22s
% Output : CNFRefutation 81.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 24
% Syntax : Number of formulae : 186 ( 54 unt; 0 def)
% Number of atoms : 616 ( 117 equ)
% Maximal formula atoms : 31 ( 3 avg)
% Number of connectives : 698 ( 268 ~; 309 |; 49 &)
% ( 16 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 174 ( 4 sgn 99 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Eextreal_2Emax__le,conjecture,
! [X319] :
( mem(X319,ty_2Eextreal_2Eextreal)
=> ! [X17] :
( mem(X17,ty_2Eextreal_2Eextreal)
=> ! [X18] :
( mem(X18,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X17),X18)),X319))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X17),X319))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X18),X319)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Emax__le) ).
fof(conj_thm_2Eextreal_2Ele__total,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X25),X32)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Ele__total) ).
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',ap_tp) ).
fof(ax_thm_2Eextreal_2Eextreal__lt__def,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),X25))
<=> ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X25),X32)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',ax_thm_2Eextreal_2Eextreal__lt__def) ).
fof(boolext,axiom,
! [X5] :
( mem(X5,bool)
=> ! [X6] :
( mem(X6,bool)
=> ( ( p(X5)
<=> p(X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',boolext) ).
fof(mem_c_2Eextreal_2Eextreal__le,axiom,
mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',mem_c_2Eextreal_2Eextreal__le) ).
fof(conj_thm_2Eextreal_2Ele__antisym,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X25),X32)) )
<=> X32 = X25 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Ele__antisym) ).
fof(conj_thm_2Eextreal_2Ele__max,axiom,
! [X319] :
( mem(X319,ty_2Eextreal_2Eextreal)
=> ! [X17] :
( mem(X17,ty_2Eextreal_2Eextreal)
=> ! [X18] :
( mem(X18,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X319),ap(ap(c_2Eextreal_2Eextreal__max,X17),X18)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X319),X17))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X319),X18)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Ele__max) ).
fof(conj_thm_2Eextreal_2Ele__infty,axiom,
( ! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),X32))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X32),c_2Eextreal_2EPosInf)) ) )
& ! [X17] :
( mem(X17,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X17),c_2Eextreal_2ENegInf))
<=> X17 = c_2Eextreal_2ENegInf ) )
& ! [X26] :
( mem(X26,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2EPosInf),X26))
<=> X26 = c_2Eextreal_2EPosInf ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Ele__infty) ).
fof(mem_c_2Eextreal_2Eextreal__max,axiom,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',mem_c_2Eextreal_2Eextreal__max) ).
fof(mem_c_2Eextreal_2ENegInf,axiom,
mem(c_2Eextreal_2ENegInf,ty_2Eextreal_2Eextreal),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',mem_c_2Eextreal_2ENegInf) ).
fof(conj_thm_2Eextreal_2Ele__max2,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X25),ap(ap(c_2Eextreal_2Eextreal__max,X32),X25))) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Ele__max2) ).
fof(conj_thm_2Eextreal_2Ele__max1,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X32),ap(ap(c_2Eextreal_2Eextreal__max,X32),X25))) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Ele__max1) ).
fof(conj_thm_2Eextreal_2Elt__infty,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Erealax_2Ereal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),ap(c_2Eextreal_2ENormal,X25)))
& p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(c_2Eextreal_2ENormal,X25)),c_2Eextreal_2EPosInf))
& p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf))
& ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),c_2Eextreal_2ENegInf))
& ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2EPosInf),X32))
& ( X32 != c_2Eextreal_2EPosInf
<=> p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),c_2Eextreal_2EPosInf)) )
& ( X32 != c_2Eextreal_2ENegInf
<=> p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),X32)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Elt__infty) ).
fof(conj_thm_2Ebool_2EEXISTS__SIMP,axiom,
! [X9] :
( ne(X9)
=> ! [X16] :
( mem(X16,bool)
=> ( ? [X17] :
( mem(X17,X9)
& p(X16) )
<=> p(X16) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Ebool_2EEXISTS__SIMP) ).
fof(ax_thm_2Ebool_2EF__DEF,axiom,
( ~ $true
<=> ! [X16] :
( mem(X16,bool)
=> p(X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',ax_thm_2Ebool_2EF__DEF) ).
fof(conj_thm_2Ebool_2EFORALL__SIMP,axiom,
! [X9] :
( ne(X9)
=> ! [X16] :
( mem(X16,bool)
=> ( ! [X17] :
( mem(X17,X9)
=> p(X16) )
<=> p(X16) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Ebool_2EFORALL__SIMP) ).
fof(ne_ty_2Erealax_2Ereal,axiom,
ne(ty_2Erealax_2Ereal),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',ne_ty_2Erealax_2Ereal) ).
fof(conj_thm_2Eextreal_2Elt__imp__le,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),X25))
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2Eextreal_2Elt__imp__le) ).
fof(mem_c_2Eextreal_2EPosInf,axiom,
mem(c_2Eextreal_2EPosInf,ty_2Eextreal_2Eextreal),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',mem_c_2Eextreal_2EPosInf) ).
fof(ax_thm_2Eextreal_2Eextreal__max__def,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ap(ap(c_2Eextreal_2Eextreal__max,X32),X25) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X32),X25)),X25),X32) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',ax_thm_2Eextreal_2Eextreal__max__def) ).
fof(conj_thm_2EHolSmt_2Ed017,axiom,
! [X9] :
( ne(X9)
=> ! [X34] :
( mem(X34,bool)
=> ! [X25] :
( mem(X25,X9)
=> ! [X26] :
( mem(X26,X9)
=> ( p(X34)
| X25 = ap(ap(ap(c_2Ebool_2ECOND(X9),X34),X26),X25) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2EHolSmt_2Ed017) ).
fof(ne_ty_2Eextreal_2Eextreal,axiom,
ne(ty_2Eextreal_2Eextreal),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',ne_ty_2Eextreal_2Eextreal) ).
fof(conj_thm_2EHolSmt_2Ed018,axiom,
! [X9] :
( ne(X9)
=> ! [X34] :
( mem(X34,bool)
=> ! [X17] :
( mem(X17,X9)
=> ! [X18] :
( mem(X18,X9)
=> ( ~ p(X34)
| X17 = ap(ap(ap(c_2Ebool_2ECOND(X9),X34),X17),X18) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p',conj_thm_2EHolSmt_2Ed018) ).
fof(c_0_24,negated_conjecture,
~ ! [X319] :
( mem(X319,ty_2Eextreal_2Eextreal)
=> ! [X17] :
( mem(X17,ty_2Eextreal_2Eextreal)
=> ! [X18] :
( mem(X18,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X17),X18)),X319))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X17),X319))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X18),X319)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le]) ).
fof(c_0_25,plain,
! [X15476,X15477] :
( ~ mem(X15476,ty_2Eextreal_2Eextreal)
| ~ mem(X15477,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15476),X15477))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15477),X15476)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__total])])])]) ).
fof(c_0_26,negated_conjecture,
( mem(esk1_0,ty_2Eextreal_2Eextreal)
& mem(esk2_0,ty_2Eextreal_2Eextreal)
& mem(esk3_0,ty_2Eextreal_2Eextreal)
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])]) ).
cnf(c_0_27,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_28,negated_conjecture,
mem(esk1_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_29,plain,
! [X15574,X15575,X15576,X15577] :
( ~ mem(X15576,arr(X15574,X15575))
| ~ mem(X15577,X15574)
| mem(ap(X15576,X15577),X15575) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])]) ).
fof(c_0_30,plain,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),X25))
<=> ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X25),X32)) ) ) ),
inference(fof_simplification,[status(thm)],[ax_thm_2Eextreal_2Eextreal__lt__def]) ).
fof(c_0_31,plain,
! [X14707,X14708] :
( ( ~ p(X14707)
| ~ p(X14708)
| X14707 = X14708
| ~ mem(X14708,bool)
| ~ mem(X14707,bool) )
& ( p(X14707)
| p(X14708)
| X14707 = X14708
| ~ mem(X14708,bool)
| ~ mem(X14707,bool) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[boolext])])])])]) ).
cnf(c_0_32,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( mem(ap(X1,X4),X3)
| ~ mem(X1,arr(X2,X3))
| ~ mem(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__le]) ).
fof(c_0_35,plain,
! [X15474,X15475] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15474),X15475))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15475),X15474))
| X15474 = X15475
| ~ mem(X15475,ty_2Eextreal_2Eextreal)
| ~ mem(X15474,ty_2Eextreal_2Eextreal) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,X15474),X15475))
| X15474 != X15475
| ~ mem(X15475,ty_2Eextreal_2Eextreal)
| ~ mem(X15474,ty_2Eextreal_2Eextreal) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,X15475),X15474))
| X15474 != X15475
| ~ mem(X15475,ty_2Eextreal_2Eextreal)
| ~ mem(X15474,ty_2Eextreal_2Eextreal) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__antisym])])])])]) ).
cnf(c_0_36,negated_conjecture,
mem(esk2_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_37,plain,
! [X16857,X16858] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X16857),X16858))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X16858),X16857))
| ~ mem(X16858,ty_2Eextreal_2Eextreal)
| ~ mem(X16857,ty_2Eextreal_2Eextreal) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,X16858),X16857))
| p(ap(ap(c_2Eextreal_2Eextreal__lt,X16857),X16858))
| ~ mem(X16858,ty_2Eextreal_2Eextreal)
| ~ mem(X16857,ty_2Eextreal_2Eextreal) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).
cnf(c_0_38,plain,
( X1 = X2
| ~ p(X1)
| ~ p(X2)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_40,plain,
( mem(ap(c_2Eextreal_2Eextreal__le,X1),arr(ty_2Eextreal_2Eextreal,bool))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
( X1 = X2
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_43,plain,
! [X15483,X15484,X15485] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),ap(ap(c_2Eextreal_2Eextreal__max,X15484),X15485)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),X15484))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),X15485))
| ~ mem(X15485,ty_2Eextreal_2Eextreal)
| ~ mem(X15484,ty_2Eextreal_2Eextreal)
| ~ mem(X15483,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),X15484))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),ap(ap(c_2Eextreal_2Eextreal__max,X15484),X15485)))
| ~ mem(X15485,ty_2Eextreal_2Eextreal)
| ~ mem(X15484,ty_2Eextreal_2Eextreal)
| ~ mem(X15483,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),X15485))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),ap(ap(c_2Eextreal_2Eextreal__max,X15484),X15485)))
| ~ mem(X15485,ty_2Eextreal_2Eextreal)
| ~ mem(X15484,ty_2Eextreal_2Eextreal)
| ~ mem(X15483,ty_2Eextreal_2Eextreal) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__max])])])])]) ).
cnf(c_0_44,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_27,c_0_36]) ).
fof(c_0_45,plain,
! [X15468,X15469,X15470] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),X15468))
| ~ mem(X15468,ty_2Eextreal_2Eextreal) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,X15468),c_2Eextreal_2EPosInf))
| ~ mem(X15468,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15469),c_2Eextreal_2ENegInf))
| X15469 = c_2Eextreal_2ENegInf
| ~ mem(X15469,ty_2Eextreal_2Eextreal) )
& ( X15469 != c_2Eextreal_2ENegInf
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15469),c_2Eextreal_2ENegInf))
| ~ mem(X15469,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2EPosInf),X15470))
| X15470 = c_2Eextreal_2EPosInf
| ~ mem(X15470,ty_2Eextreal_2Eextreal) )
& ( X15470 != c_2Eextreal_2EPosInf
| p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2EPosInf),X15470))
| ~ mem(X15470,ty_2Eextreal_2Eextreal) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__infty])])])])]) ).
cnf(c_0_46,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| p(ap(ap(c_2Eextreal_2Eextreal__lt,X2),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
mem(esk3_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ~ p(X1)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,plain,
( mem(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2),bool)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_33,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_28])]) ).
cnf(c_0_51,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X2),X3)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X3,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_28]) ).
cnf(c_0_53,plain,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__max]) ).
cnf(c_0_54,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X1),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
mem(c_2Eextreal_2ENegInf,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2ENegInf]) ).
cnf(c_0_57,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,esk3_0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_28])]) ).
cnf(c_0_59,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_47]),c_0_36]),c_0_28])]),c_0_52]) ).
cnf(c_0_60,plain,
( mem(ap(c_2Eextreal_2Eextreal__max,X1),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_33,c_0_53]) ).
cnf(c_0_61,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X1),c_2Eextreal_2ENegInf))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_62,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__lt,esk3_0),c_2Eextreal_2ENegInf)) ),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0),bool)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( mem(ap(ap(c_2Eextreal_2Eextreal__max,X1),X2),ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_33,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_66,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_67,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_47])]) ).
fof(c_0_68,plain,
! [X15488,X15489] :
( ~ mem(X15488,ty_2Eextreal_2Eextreal)
| ~ mem(X15489,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15489),ap(ap(c_2Eextreal_2Eextreal__max,X15488),X15489))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__max2])])])]) ).
cnf(c_0_69,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_47]),c_0_36])]) ).
fof(c_0_70,plain,
! [X15486,X15487] :
( ~ mem(X15486,ty_2Eextreal_2Eextreal)
| ~ mem(X15487,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15486),ap(ap(c_2Eextreal_2Eextreal__max,X15486),X15487))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__max1])])])]) ).
cnf(c_0_71,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_65]),c_0_28])]) ).
cnf(c_0_72,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X3),X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X3,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_73,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_66,c_0_28]) ).
cnf(c_0_74,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0),bool) ),
inference(spm,[status(thm)],[c_0_58,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,esk2_0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_46,c_0_36]) ).
cnf(c_0_76,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_49]),c_0_28]),c_0_36])]) ).
cnf(c_0_78,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_36]),c_0_47]),c_0_28])]),c_0_73]) ).
cnf(c_0_80,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_49]),c_0_47]),c_0_56])]) ).
cnf(c_0_81,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__lt,esk2_0),c_2Eextreal_2ENegInf)) ),
inference(spm,[status(thm)],[c_0_75,c_0_56]) ).
fof(c_0_82,plain,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Erealax_2Ereal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),ap(c_2Eextreal_2ENormal,X25)))
& p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(c_2Eextreal_2ENormal,X25)),c_2Eextreal_2EPosInf))
& p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf))
& ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),c_2Eextreal_2ENegInf))
& ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2EPosInf),X32))
& ( X32 != c_2Eextreal_2EPosInf
<=> p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),c_2Eextreal_2EPosInf)) )
& ( X32 != c_2Eextreal_2ENegInf
<=> p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),X32)) ) ) ) ),
inference(fof_simplification,[status(thm)],[conj_thm_2Eextreal_2Elt__infty]) ).
cnf(c_0_83,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_84,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_47]),c_0_36])]) ).
cnf(c_0_85,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_77]),c_0_47]),c_0_36])]) ).
cnf(c_0_86,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0),bool)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_58,c_0_79]) ).
cnf(c_0_87,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(rw,[status(thm)],[c_0_58,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_81]),c_0_36])]) ).
fof(c_0_89,plain,
! [X15653,X15654] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),ap(c_2Eextreal_2ENormal,X15654)))
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(c_2Eextreal_2ENormal,X15654)),c_2Eextreal_2EPosInf))
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf))
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X15653),c_2Eextreal_2ENegInf))
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2EPosInf),X15653))
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) )
& ( X15653 = c_2Eextreal_2EPosInf
| p(ap(ap(c_2Eextreal_2Eextreal__lt,X15653),c_2Eextreal_2EPosInf))
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X15653),c_2Eextreal_2EPosInf))
| X15653 != c_2Eextreal_2EPosInf
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) )
& ( X15653 = c_2Eextreal_2ENegInf
| p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),X15653))
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),X15653))
| X15653 != c_2Eextreal_2ENegInf
| ~ mem(X15654,ty_2Erealax_2Ereal)
| ~ mem(X15653,ty_2Eextreal_2Eextreal) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])])]) ).
cnf(c_0_90,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_39])]),c_0_84]),c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_64]),c_0_47]),c_0_36])]) ).
cnf(c_0_92,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0),bool) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,esk1_0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_46,c_0_28]) ).
cnf(c_0_94,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf))
| ~ mem(X1,ty_2Erealax_2Ereal)
| ~ mem(X2,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_95,plain,
! [X14720,X14721,X14722] :
( ( ~ mem(X14722,X14720)
| ~ p(X14721)
| p(X14721)
| ~ mem(X14721,bool)
| ~ ne(X14720) )
& ( mem(esk6_2(X14720,X14721),X14720)
| ~ p(X14721)
| ~ mem(X14721,bool)
| ~ ne(X14720) )
& ( p(X14721)
| ~ p(X14721)
| ~ mem(X14721,bool)
| ~ ne(X14720) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[conj_thm_2Ebool_2EEXISTS__SIMP])])])])])])]) ).
cnf(c_0_96,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)),
inference(spm,[status(thm)],[c_0_66,c_0_47]) ).
cnf(c_0_97,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_90]),c_0_39])]) ).
cnf(c_0_98,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_49]),c_0_28]),c_0_47])]) ).
fof(c_0_99,plain,
! [X14709] :
( ( $true
| ~ mem(X14709,bool)
| p(X14709) )
& ( mem(esk4_0,bool)
| ~ $true )
& ( ~ p(esk4_0)
| ~ $true ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Ebool_2EF__DEF])])])])])]) ).
cnf(c_0_100,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_49]),c_0_36]),c_0_56])]) ).
cnf(c_0_101,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__lt,esk1_0),c_2Eextreal_2ENegInf)) ),
inference(spm,[status(thm)],[c_0_93,c_0_56]) ).
fof(c_0_102,plain,
! [X14716,X14717,X14719] :
( ( mem(esk5_2(X14716,X14717),X14716)
| p(X14717)
| ~ mem(X14717,bool)
| ~ ne(X14716) )
& ( ~ p(X14717)
| p(X14717)
| ~ mem(X14717,bool)
| ~ ne(X14716) )
& ( ~ p(X14717)
| ~ mem(X14719,X14716)
| p(X14717)
| ~ mem(X14717,bool)
| ~ ne(X14716) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[conj_thm_2Ebool_2EFORALL__SIMP])])])])])])]) ).
cnf(c_0_103,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf))
| ~ mem(X1,ty_2Erealax_2Ereal) ),
inference(spm,[status(thm)],[c_0_94,c_0_47]) ).
cnf(c_0_104,plain,
( mem(esk6_2(X1,X2),X1)
| ~ p(X2)
| ~ mem(X2,bool)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_105,plain,
ne(ty_2Erealax_2Ereal),
inference(split_conjunct,[status(thm)],[ne_ty_2Erealax_2Ereal]) ).
cnf(c_0_106,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)
| ~ p(X1)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_38,c_0_96]) ).
cnf(c_0_107,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_39])]) ).
cnf(c_0_108,plain,
( mem(esk4_0,bool)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_109,plain,
( ~ p(esk4_0)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_110,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(rw,[status(thm)],[c_0_87,c_0_100]) ).
cnf(c_0_111,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_101]),c_0_28])]) ).
cnf(c_0_112,plain,
( mem(esk5_2(X1,X2),X1)
| p(X2)
| ~ mem(X2,bool)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_113,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf))
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105])]) ).
cnf(c_0_114,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_49]),c_0_47])]) ).
cnf(c_0_115,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0)),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_116,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_98]),c_0_47]),c_0_36])]),c_0_107]) ).
cnf(c_0_117,plain,
( p(X1)
| p(X2)
| X1 = X2
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_118,plain,
mem(esk4_0,bool),
inference(cn,[status(thm)],[c_0_108]) ).
cnf(c_0_119,plain,
~ p(esk4_0),
inference(cn,[status(thm)],[c_0_109]) ).
cnf(c_0_120,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0),bool) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_121,plain,
! [X16860,X16861] :
( ~ mem(X16860,ty_2Eextreal_2Eextreal)
| ~ mem(X16861,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X16860),X16861))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X16860),X16861)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Elt__imp__le])])])]) ).
cnf(c_0_122,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf))
| ~ mem(X1,bool) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_112]),c_0_105])]),c_0_113]) ).
cnf(c_0_123,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0),bool) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_124,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_116]),c_0_39])]) ).
cnf(c_0_125,plain,
( X1 = esk4_0
| p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_126,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_49]),c_0_28]),c_0_56])]) ).
cnf(c_0_127,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_128,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__lt,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf)),
inference(spm,[status(thm)],[c_0_122,c_0_118]) ).
cnf(c_0_129,plain,
mem(c_2Eextreal_2EPosInf,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2EPosInf]) ).
cnf(c_0_130,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_49]),c_0_36])]) ).
fof(c_0_131,plain,
! [X15481,X15482] :
( ~ mem(X15481,ty_2Eextreal_2Eextreal)
| ~ mem(X15482,ty_2Eextreal_2Eextreal)
| ap(ap(c_2Eextreal_2Eextreal__max,X15481),X15482) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X15481),X15482)),X15482),X15481) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Eextreal_2Eextreal__max__def])])])]) ).
cnf(c_0_132,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0) = esk4_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0),bool) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(rw,[status(thm)],[c_0_110,c_0_126]) ).
cnf(c_0_134,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_56])]) ).
cnf(c_0_135,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0),bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_130]),c_0_47])]) ).
cnf(c_0_136,plain,
( ap(ap(c_2Eextreal_2Eextreal__max,X1),X2) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)),X2),X1)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_137,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0) = esk4_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_49]),c_0_28])]) ).
fof(c_0_138,plain,
! [X15812,X15813,X15814,X15815] :
( ~ ne(X15812)
| ~ mem(X15813,bool)
| ~ mem(X15814,X15812)
| ~ mem(X15815,X15812)
| p(X15813)
| X15814 = ap(ap(ap(c_2Ebool_2ECOND(X15812),X15813),X15815),X15814) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2EHolSmt_2Ed017])])])]) ).
cnf(c_0_139,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf),bool) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_140,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_115]),c_0_135])]) ).
cnf(c_0_141,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),esk4_0),esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_28])]) ).
cnf(c_0_142,plain,
( p(X2)
| X3 = ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X4),X3)
| ~ ne(X1)
| ~ mem(X2,bool)
| ~ mem(X3,X1)
| ~ mem(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_143,plain,
ne(ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[ne_ty_2Eextreal_2Eextreal]) ).
cnf(c_0_144,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_49]),c_0_129]),c_0_56])]) ).
cnf(c_0_145,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),c_2Eextreal_2ENegInf))
| X1 != c_2Eextreal_2ENegInf
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_146,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0),
inference(rw,[status(thm)],[c_0_90,c_0_80]) ).
cnf(c_0_147,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),bool),
inference(rw,[status(thm)],[c_0_135,c_0_140]) ).
cnf(c_0_148,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_118]),c_0_28]),c_0_143])]),c_0_119]) ).
cnf(c_0_149,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(rw,[status(thm)],[c_0_133,c_0_144]) ).
cnf(c_0_150,plain,
p(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2ENegInf)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_145]),c_0_56])]) ).
cnf(c_0_151,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0),
inference(rw,[status(thm)],[c_0_146,c_0_100]) ).
cnf(c_0_152,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk3_0),bool),
inference(rw,[status(thm)],[c_0_147,c_0_80]) ).
cnf(c_0_153,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| esk3_0 = esk1_0
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_79]),c_0_47]),c_0_28])]) ).
cnf(c_0_154,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X2),X3)))
| ~ mem(X3,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_155,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_148]),c_0_28])]) ).
cnf(c_0_156,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2ENegInf)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2ENegInf),bool) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_157,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0),
inference(rw,[status(thm)],[c_0_151,c_0_126]) ).
cnf(c_0_158,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk2_0),bool),
inference(rw,[status(thm)],[c_0_152,c_0_100]) ).
cnf(c_0_159,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = esk4_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| esk3_0 = esk1_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0),bool) ),
inference(spm,[status(thm)],[c_0_153,c_0_125]) ).
cnf(c_0_160,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_47]),c_0_36]),c_0_28])]) ).
cnf(c_0_161,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf) = ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2ENegInf),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_49]),c_0_56])]) ).
cnf(c_0_162,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0)),esk1_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_157]),c_0_28]),c_0_36])]) ).
fof(c_0_163,plain,
! [X9] :
( ne(X9)
=> ! [X34] :
( mem(X34,bool)
=> ! [X17] :
( mem(X17,X9)
=> ! [X18] :
( mem(X18,X9)
=> ( ~ p(X34)
| X17 = ap(ap(ap(c_2Ebool_2ECOND(X9),X34),X17),X18) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[conj_thm_2EHolSmt_2Ed018]) ).
cnf(c_0_164,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),esk1_0),bool),
inference(rw,[status(thm)],[c_0_158,c_0_126]) ).
cnf(c_0_165,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = esk4_0
| esk3_0 = esk1_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_64]),c_0_47]),c_0_36])]) ).
cnf(c_0_166,negated_conjecture,
( esk3_0 = esk1_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_160]),c_0_116]),c_0_80]),c_0_100]),c_0_126]),c_0_144]),c_0_161]),c_0_150]),c_0_28]),c_0_47])]) ).
cnf(c_0_167,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf)),esk1_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_162,c_0_144]) ).
fof(c_0_168,plain,
! [X15816,X15817,X15818,X15819] :
( ~ ne(X15816)
| ~ mem(X15817,bool)
| ~ mem(X15818,X15816)
| ~ mem(X15819,X15816)
| ~ p(X15817)
| X15818 = ap(ap(ap(c_2Ebool_2ECOND(X15816),X15817),X15818),X15819) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_163])])])]) ).
cnf(c_0_169,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2EPosInf),bool),
inference(rw,[status(thm)],[c_0_164,c_0_144]) ).
cnf(c_0_170,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = esk4_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk1_0
| esk3_0 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_49]),c_0_47]),c_0_28])]) ).
cnf(c_0_171,negated_conjecture,
( esk3_0 = esk1_0
| esk2_0 = esk1_0
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_166]),c_0_90]),c_0_80]),c_0_100]),c_0_126]),c_0_144]),c_0_161]),c_0_150]),c_0_28]),c_0_36])]) ).
cnf(c_0_172,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2ENegInf)),esk1_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_167,c_0_161]) ).
cnf(c_0_173,plain,
( X3 = ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X3),X4)
| ~ ne(X1)
| ~ mem(X2,bool)
| ~ mem(X3,X1)
| ~ mem(X4,X1)
| ~ p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_174,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,c_2Eextreal_2ENegInf),c_2Eextreal_2ENegInf),bool),
inference(rw,[status(thm)],[c_0_169,c_0_161]) ).
cnf(c_0_175,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = esk4_0
| esk3_0 = esk1_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_170]),c_0_47]),c_0_36])]) ).
cnf(c_0_176,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = esk4_0
| esk3_0 = esk1_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_170]),c_0_47]),c_0_36])]) ).
cnf(c_0_177,negated_conjecture,
( esk2_0 = esk1_0
| esk3_0 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_64]),c_0_47]),c_0_36])]) ).
cnf(c_0_178,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk1_0) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_150]),c_0_174]),c_0_36]),c_0_28]),c_0_143])]) ).
cnf(c_0_179,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = esk4_0
| esk3_0 = esk1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_170]),c_0_39])]),c_0_175]),c_0_176]) ).
cnf(c_0_180,negated_conjecture,
esk2_0 = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_177]),c_0_178]),c_0_80]),c_0_100]),c_0_126]),c_0_144]),c_0_161]),c_0_150])]) ).
cnf(c_0_181,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),esk4_0),esk3_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk3_0)
| esk3_0 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_179]),c_0_47]),c_0_28])]) ).
cnf(c_0_182,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk3_0)),esk1_0)),
inference(spm,[status(thm)],[c_0_124,c_0_180]) ).
cnf(c_0_183,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk3_0) = esk1_0
| esk3_0 = esk1_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_142]),c_0_118]),c_0_47]),c_0_28]),c_0_143])]),c_0_119]) ).
cnf(c_0_184,negated_conjecture,
esk3_0 = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_80]),c_0_100]),c_0_180]),c_0_144]),c_0_161]),c_0_150])]) ).
cnf(c_0_185,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_184]),c_0_178]),c_0_80]),c_0_184]),c_0_144]),c_0_161]),c_0_150])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 5.03/5.08 % Problem : ITP021+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 5.06/5.10 % Command : run_E %s %d THM
% 5.11/5.30 % Computer : n020.cluster.edu
% 5.11/5.30 % Model : x86_64 x86_64
% 5.11/5.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 5.11/5.30 % Memory : 8042.1875MB
% 5.11/5.30 % OS : Linux 3.10.0-693.el7.x86_64
% 5.11/5.30 % CPULimit : 300
% 5.11/5.30 % WCLimit : 300
% 5.11/5.30 % DateTime : Fri May 3 12:26:07 EDT 2024
% 5.11/5.30 % CPUTime :
% 17.70/17.91 Running first-order theorem proving
% 17.70/17.91 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.OEMM9jS36Z/E---3.1_9384.p
% 81.61/29.22 # Version: 3.1.0
% 81.61/29.22 # Preprocessing class: FMLLSMLLSSSNFFN.
% 81.61/29.22 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 81.61/29.22 # Starting new_bool_3 with 891s (3) cores
% 81.61/29.22 # Starting new_bool_1 with 891s (3) cores
% 81.61/29.22 # Starting sh5l with 297s (1) cores
% 81.61/29.22 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 297s (1) cores
% 81.61/29.22 # new_bool_1 with pid 9595 completed with status 0
% 81.61/29.22 # Result found by new_bool_1
% 81.61/29.22 # Preprocessing class: FMLLSMLLSSSNFFN.
% 81.61/29.22 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 81.61/29.22 # Starting new_bool_3 with 891s (3) cores
% 81.61/29.22 # Starting new_bool_1 with 891s (3) cores
% 81.61/29.22 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 81.61/29.22 # Search class: FGHSF-SMLM33-DFFFFFNN
% 81.61/29.22 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 81.61/29.22 # Scheduled 6 strats onto 3 cores with 891 seconds (891 total)
% 81.61/29.22 # Starting SAT001_MinMin_p005000_rr with 482s (1) cores
% 81.61/29.22 # Starting new_bool_1 with 90s (1) cores
% 81.61/29.22 # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 81.61/29.22 # SAT001_MinMin_p005000_rr with pid 9602 completed with status 0
% 81.61/29.22 # Result found by SAT001_MinMin_p005000_rr
% 81.61/29.22 # Preprocessing class: FMLLSMLLSSSNFFN.
% 81.61/29.22 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 81.61/29.22 # Starting new_bool_3 with 891s (3) cores
% 81.61/29.22 # Starting new_bool_1 with 891s (3) cores
% 81.61/29.22 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 81.61/29.22 # Search class: FGHSF-SMLM33-DFFFFFNN
% 81.61/29.22 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 81.61/29.22 # Scheduled 6 strats onto 3 cores with 891 seconds (891 total)
% 81.61/29.22 # Starting SAT001_MinMin_p005000_rr with 482s (1) cores
% 81.61/29.22 # Preprocessing time : 0.171 s
% 81.61/29.22 # Presaturation interreduction done
% 81.61/29.22
% 81.61/29.22 # Proof found!
% 81.61/29.22 # SZS status Theorem
% 81.61/29.22 # SZS output start CNFRefutation
% See solution above
% 81.61/29.22 # Parsed axioms : 19039
% 81.61/29.22 # Removed by relevancy pruning/SinE : 18088
% 81.61/29.22 # Initial clauses : 4942
% 81.61/29.22 # Removed in clause preprocessing : 1495
% 81.61/29.22 # Initial clauses in saturation : 3447
% 81.61/29.22 # Processed clauses : 9775
% 81.61/29.22 # ...of these trivial : 117
% 81.61/29.22 # ...subsumed : 3159
% 81.61/29.22 # ...remaining for further processing : 6499
% 81.61/29.22 # Other redundant clauses eliminated : 287
% 81.61/29.22 # Clauses deleted for lack of memory : 0
% 81.61/29.22 # Backward-subsumed : 259
% 81.61/29.22 # Backward-rewritten : 729
% 81.61/29.22 # Generated clauses : 60376
% 81.61/29.22 # ...of the previous two non-redundant : 59045
% 81.61/29.22 # ...aggressively subsumed : 0
% 81.61/29.22 # Contextual simplify-reflections : 98
% 81.61/29.22 # Paramodulations : 60090
% 81.61/29.22 # Factorizations : 0
% 81.61/29.22 # NegExts : 0
% 81.61/29.22 # Equation resolutions : 295
% 81.61/29.22 # Disequality decompositions : 0
% 81.61/29.22 # Total rewrite steps : 22485
% 81.61/29.22 # ...of those cached : 22359
% 81.61/29.22 # Propositional unsat checks : 1
% 81.61/29.22 # Propositional check models : 1
% 81.61/29.22 # Propositional check unsatisfiable : 0
% 81.61/29.22 # Propositional clauses : 0
% 81.61/29.22 # Propositional clauses after purity: 0
% 81.61/29.22 # Propositional unsat core size : 0
% 81.61/29.22 # Propositional preprocessing time : 0.000
% 81.61/29.22 # Propositional encoding time : 0.065
% 81.61/29.22 # Propositional solver time : 0.011
% 81.61/29.22 # Success case prop preproc time : 0.000
% 81.61/29.22 # Success case prop encoding time : 0.000
% 81.61/29.22 # Success case prop solver time : 0.000
% 81.61/29.22 # Current number of processed clauses : 2237
% 81.61/29.22 # Positive orientable unit clauses : 117
% 81.61/29.22 # Positive unorientable unit clauses: 0
% 81.61/29.22 # Negative unit clauses : 112
% 81.61/29.22 # Non-unit-clauses : 2008
% 81.61/29.22 # Current number of unprocessed clauses: 54121
% 81.61/29.22 # ...number of literals in the above : 330831
% 81.61/29.22 # Current number of archived formulas : 0
% 81.61/29.22 # Current number of archived clauses : 4091
% 81.61/29.22 # Clause-clause subsumption calls (NU) : 6348094
% 81.61/29.22 # Rec. Clause-clause subsumption calls : 156462
% 81.61/29.22 # Non-unit clause-clause subsumptions : 2475
% 81.61/29.22 # Unit Clause-clause subsumption calls : 14393
% 81.61/29.22 # Rewrite failures with RHS unbound : 0
% 81.61/29.22 # BW rewrite match attempts : 1359
% 81.61/29.22 # BW rewrite match successes : 58
% 81.61/29.22 # Condensation attempts : 0
% 81.61/29.22 # Condensation successes : 0
% 81.61/29.22 # Termbank termtop insertions : 3222774
% 81.61/29.22 # Search garbage collected termcells : 458962
% 81.61/29.22
% 81.61/29.22 # -------------------------------------------------
% 81.61/29.22 # User time : 7.738 s
% 81.61/29.22 # System time : 0.219 s
% 81.61/29.22 # Total time : 7.957 s
% 81.61/29.22 # Maximum resident set size: 77892 pages
% 81.61/29.22
% 81.61/29.22 # -------------------------------------------------
% 81.61/29.22 # User time : 25.120 s
% 81.61/29.22 # System time : 0.454 s
% 81.61/29.22 # Total time : 25.575 s
% 81.61/29.22 # Maximum resident set size: 60684 pages
% 81.61/29.22 % E---3.1 exiting
% 81.65/29.23 % E exiting
%------------------------------------------------------------------------------