%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP021+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:53:51 PM UTC 2026
% Result : Theorem 0.14s 26.21s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 181 ( 63 unt; 0 def)
% Number of atoms : 449 ( 88 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 441 ( 173 ~; 206 |; 20 &)
% ( 10 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 56 !; 0 ?)
% 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,X18),X319))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X17),X319)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Emax__le) ).
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/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__max1) ).
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/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max) ).
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/benchmark/theBenchmark.p',ax_thm_2Eextreal_2Eextreal__lt__def) ).
fof(conj_thm_2Eextreal_2Ele__refl,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X32)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__refl) ).
fof(conj_thm_2Eextreal_2Elt__le,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),X25))
<=> ( X32 != X25
& p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Elt__le) ).
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),X18))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X319),X17)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__max) ).
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/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__le) ).
fof(ax_thm_2Ebool_2EF__DEF,axiom,
( ~ $true
<=> ! [X16] :
( mem(X16,bool)
=> p(X16) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP003+5.ax',ax_thm_2Ebool_2EF__DEF) ).
fof(boolext,axiom,
! [X5] :
( mem(X5,bool)
=> ! [X6] :
( mem(X6,bool)
=> ( ( p(X5)
<=> p(X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',boolext) ).
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,X25),X32))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25)) )
<=> X32 = X25 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__antisym) ).
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,X25),X32))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total) ).
fof(mem_c_2Eextreal_2Eextreal__lt,axiom,
mem(c_2Eextreal_2Eextreal__lt,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__lt) ).
fof(c_0_15,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,X18),X319))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X17),X319)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le]) ).
fof(c_0_16,plain,
! [X15574,X15575,X15576,X15577] :
( mem(ap(X15576,X15577),X15575)
| ~ mem(X15577,X15574)
| ~ mem(X15576,arr(X15574,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_17,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)) )
& ( 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)) )
& mem(esk3_0,ty_2Eextreal_2Eextreal)
& mem(esk2_0,ty_2Eextreal_2Eextreal)
& mem(esk1_0,ty_2Eextreal_2Eextreal) ),
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_15])])])])]) ).
cnf(c_0_18,plain,
( ~ mem(X4,X2)
| ~ mem(X1,arr(X2,X3))
| mem(ap(X1,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
mem(esk2_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X15488,X15489] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X15489),ap(ap(c_2Eextreal_2Eextreal__max,X15488),X15489)))
| ~ mem(X15489,ty_2Eextreal_2Eextreal)
| ~ mem(X15488,ty_2Eextreal_2Eextreal) ),
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_21,negated_conjecture,
mem(esk3_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X15486,X15487] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X15486),ap(ap(c_2Eextreal_2Eextreal__max,X15486),X15487)))
| ~ mem(X15487,ty_2Eextreal_2Eextreal)
| ~ mem(X15486,ty_2Eextreal_2Eextreal) ),
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_23,negated_conjecture,
( ~ mem(X1,arr(ty_2Eextreal_2Eextreal,X2))
| mem(ap(X1,esk2_0),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,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]) ).
fof(c_0_25,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]) ).
cnf(c_0_26,plain,
( ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
mem(esk1_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
( ~ mem(X1,arr(ty_2Eextreal_2Eextreal,X2))
| mem(ap(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_29,plain,
( ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X15467] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X15467),X15467))
| ~ mem(X15467,ty_2Eextreal_2Eextreal) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__refl])])]) ).
cnf(c_0_31,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__max,esk2_0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_32,plain,
! [X16857,X16858] :
( ( ~ mem(X16857,ty_2Eextreal_2Eextreal)
| ~ mem(X16858,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__lt,X16857),X16858))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X16858),X16857)) )
& ( ~ mem(X16857,ty_2Eextreal_2Eextreal)
| ~ mem(X16858,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X16858),X16857))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X16857),X16858)) ) ),
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_25])])])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,X1),esk3_0))) ),
inference(spm,[status(thm)],[c_0_26,c_0_21]) ).
cnf(c_0_34,negated_conjecture,
( ~ mem(X1,arr(ty_2Eextreal_2Eextreal,X2))
| mem(ap(X1,esk1_0),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__max,esk3_0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_36,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X1),esk1_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
fof(c_0_37,plain,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__lt,X32),X25))
<=> ( X32 != X25
& p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25)) ) ) ) ),
inference(fof_simplification,[status(thm)],[conj_thm_2Eextreal_2Elt__le]) ).
fof(c_0_38,plain,
! [X15483,X15484,X15485] :
( ( ~ mem(X15483,ty_2Eextreal_2Eextreal)
| ~ mem(X15484,ty_2Eextreal_2Eextreal)
| ~ mem(X15485,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),ap(ap(c_2Eextreal_2Eextreal__max,X15484),X15485)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),X15485)) )
& ( ~ mem(X15483,ty_2Eextreal_2Eextreal)
| ~ mem(X15484,ty_2Eextreal_2Eextreal)
| ~ mem(X15485,ty_2Eextreal_2Eextreal)
| 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)) )
& ( ~ mem(X15483,ty_2Eextreal_2Eextreal)
| ~ mem(X15484,ty_2Eextreal_2Eextreal)
| ~ mem(X15485,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15483),X15485))
| 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))) ) ),
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_39,plain,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal),
inference(spm,[status(thm)],[c_0_28,c_0_31]) ).
cnf(c_0_41,plain,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0))),
inference(spm,[status(thm)],[c_0_33,c_0_19]) ).
cnf(c_0_43,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X1),esk3_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
cnf(c_0_44,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_45,plain,
! [X14709] :
( ( ~ $true
| ~ p(esk4_0) )
& ( ~ $true
| mem(esk4_0,bool) )
& ( p(X14709)
| ~ mem(X14709,bool)
| $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_46,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0),ty_2Eextreal_2Eextreal),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_47,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0))),
inference(spm,[status(thm)],[c_0_36,c_0_21]) ).
cnf(c_0_48,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,X1),esk1_0))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_49,plain,
! [X16877,X16878] :
( ( ~ mem(X16877,ty_2Eextreal_2Eextreal)
| ~ mem(X16878,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__lt,X16877),X16878))
| X16877 = X16878
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X16877),X16878)) )
& ( ~ mem(X16877,ty_2Eextreal_2Eextreal)
| ~ mem(X16878,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X16877),X16878))
| X16877 != X16878 )
& ( ~ mem(X16877,ty_2Eextreal_2Eextreal)
| ~ mem(X16878,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,X16877),X16878))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X16877),X16878)) ) ),
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_37])])])])]) ).
cnf(c_0_50,plain,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X3,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X2),X3)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_21])]) ).
cnf(c_0_53,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0))),
inference(spm,[status(thm)],[c_0_43,c_0_19]) ).
fof(c_0_54,plain,
! [X14707,X14708] :
( ( ~ mem(X14707,bool)
| ~ mem(X14708,bool)
| X14707 = X14708
| p(X14708)
| p(X14707) )
& ( ~ mem(X14707,bool)
| ~ mem(X14708,bool)
| X14707 = X14708
| ~ p(X14708)
| ~ p(X14707) ) ),
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_55,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__le,esk3_0),arr(ty_2Eextreal_2Eextreal,bool)),
inference(spm,[status(thm)],[c_0_28,c_0_44]) ).
cnf(c_0_56,plain,
( $false
| mem(esk4_0,bool) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( $false
| ~ p(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0))),
inference(spm,[status(thm)],[c_0_39,c_0_46]) ).
cnf(c_0_59,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_47]),c_0_21])]) ).
cnf(c_0_60,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0))),
inference(spm,[status(thm)],[c_0_48,c_0_21]) ).
fof(c_0_61,plain,
! [X15474,X15475] :
( ( ~ mem(X15474,ty_2Eextreal_2Eextreal)
| ~ mem(X15475,ty_2Eextreal_2Eextreal)
| X15474 != X15475
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15475),X15474)) )
& ( ~ mem(X15474,ty_2Eextreal_2Eextreal)
| ~ mem(X15475,ty_2Eextreal_2Eextreal)
| X15474 != X15475
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15474),X15475)) )
& ( ~ mem(X15474,ty_2Eextreal_2Eextreal)
| ~ mem(X15475,ty_2Eextreal_2Eextreal)
| X15474 = X15475
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15475),X15474))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X15474),X15475)) ) ),
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_62,plain,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| p(ap(ap(c_2Eextreal_2Eextreal__lt,X1),X2))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_63,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk2_0)) ),
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_21]),c_0_19]),c_0_40])]) ).
cnf(c_0_64,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_40])]) ).
cnf(c_0_65,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_53]),c_0_19])]) ).
cnf(c_0_66,plain,
( ~ mem(X1,bool)
| ~ mem(X2,bool)
| ~ p(X2)
| ~ p(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_67,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0),bool),
inference(spm,[status(thm)],[c_0_28,c_0_55]) ).
cnf(c_0_68,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)),
inference(spm,[status(thm)],[c_0_39,c_0_21]) ).
cnf(c_0_69,plain,
( ~ mem(X1,bool)
| ~ mem(X2,bool)
| X1 = X2
| p(X2)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_70,plain,
mem(esk4_0,bool),
inference(cn,[status(thm)],[c_0_56]) ).
cnf(c_0_71,plain,
~ p(esk4_0),
inference(cn,[status(thm)],[c_0_57]) ).
cnf(c_0_72,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk3_0)) ),
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_58]),c_0_27]),c_0_21]),c_0_46])]) ).
cnf(c_0_73,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_46])]) ).
cnf(c_0_74,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_60]),c_0_27])]) ).
cnf(c_0_75,plain,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_76,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk3_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_21]),c_0_40])]),c_0_64]) ).
cnf(c_0_77,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_40])]) ).
cnf(c_0_78,negated_conjecture,
( ~ mem(X1,bool)
| ~ p(X1)
| X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_79,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0),bool),
inference(spm,[status(thm)],[c_0_23,c_0_55]) ).
cnf(c_0_80,plain,
( ~ mem(X1,bool)
| p(X1)
| X1 = esk4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_81,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__le,esk2_0),arr(ty_2Eextreal_2Eextreal,bool)),
inference(spm,[status(thm)],[c_0_23,c_0_44]) ).
cnf(c_0_82,plain,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X3,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_83,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk3_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_72]),c_0_21]),c_0_46])]),c_0_73]) ).
cnf(c_0_84,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__lt,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_46])]) ).
cnf(c_0_85,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_53]),c_0_19])]) ).
cnf(c_0_86,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk3_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_76]),c_0_19]),c_0_40])]),c_0_77]) ).
cnf(c_0_87,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = esk4_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_89,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0),bool),
inference(spm,[status(thm)],[c_0_23,c_0_81]) ).
cnf(c_0_90,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0)),
inference(spm,[status(thm)],[c_0_39,c_0_19]) ).
cnf(c_0_91,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_53]),c_0_19])]) ).
cnf(c_0_92,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_60]),c_0_27])]) ).
cnf(c_0_93,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk3_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_83]),c_0_27]),c_0_46])]),c_0_84]) ).
cnf(c_0_94,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__le,esk1_0),arr(ty_2Eextreal_2Eextreal,bool)),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_95,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_40])]) ).
cnf(c_0_96,negated_conjecture,
( esk3_0 != esk2_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(ef,[status(thm)],[c_0_86]) ).
cnf(c_0_97,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = esk4_0
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_98,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_78,c_0_89]),c_0_90])]) ).
cnf(c_0_99,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0))) ),
inference(spm,[status(thm)],[c_0_91,c_0_27]) ).
cnf(c_0_100,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_46])]) ).
cnf(c_0_101,negated_conjecture,
( esk3_0 != esk1_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0 ),
inference(ef,[status(thm)],[c_0_93]) ).
cnf(c_0_102,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(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_103,plain,
! [X15476,X15477] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X15477),X15476))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X15476),X15477))
| ~ mem(X15477,ty_2Eextreal_2Eextreal)
| ~ mem(X15476,ty_2Eextreal_2Eextreal) ),
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])])])]) ).
cnf(c_0_104,negated_conjecture,
( ~ mem(X1,bool)
| ~ p(X1)
| X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_89]),c_0_90])]) ).
cnf(c_0_105,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0),bool),
inference(spm,[status(thm)],[c_0_34,c_0_81]) ).
cnf(c_0_106,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),bool),
inference(spm,[status(thm)],[c_0_34,c_0_94]) ).
cnf(c_0_107,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_108,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_86]),c_0_96]) ).
cnf(c_0_109,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = esk4_0
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_110,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_40])]) ).
cnf(c_0_111,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_93]),c_0_101]) ).
cnf(c_0_112,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_86]) ).
cnf(c_0_113,plain,
( ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_114,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_115,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_104,c_0_106]),c_0_107])]) ).
cnf(c_0_116,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)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_117,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_90])]) ).
cnf(c_0_118,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_86]) ).
cnf(c_0_119,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_120,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0)) ),
inference(spm,[status(thm)],[c_0_113,c_0_21]) ).
cnf(c_0_121,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0) ),
inference(rw,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = esk4_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk3_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_42]),c_0_21])]) ).
cnf(c_0_124,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_125,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_120,c_0_19]) ).
cnf(c_0_126,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = esk4_0
| ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk3_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_40])]) ).
cnf(c_0_128,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0
| ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_124]) ).
cnf(c_0_129,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_71]) ).
cnf(c_0_130,negated_conjecture,
( ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_131,negated_conjecture,
( esk3_0 = esk2_0
| 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(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_132,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0)) ),
inference(spm,[status(thm)],[c_0_113,c_0_19]) ).
cnf(c_0_133,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))
| esk3_0 = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_107])]) ).
cnf(c_0_134,plain,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X3,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_135,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_132,c_0_27]) ).
cnf(c_0_136,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_112]),c_0_96]) ).
cnf(c_0_137,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),ap(ap(c_2Eextreal_2Eextreal__max,X1),esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_27]),c_0_19])]) ).
cnf(c_0_138,plain,
mem(c_2Eextreal_2Eextreal__lt,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__lt]) ).
cnf(c_0_139,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_86]),c_0_112]),c_0_96]) ).
cnf(c_0_140,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0))) ),
inference(spm,[status(thm)],[c_0_137,c_0_21]) ).
cnf(c_0_141,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0) ),
inference(rw,[status(thm)],[c_0_87,c_0_98]) ).
cnf(c_0_142,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__lt,esk1_0),arr(ty_2Eextreal_2Eextreal,bool)),
inference(spm,[status(thm)],[c_0_34,c_0_138]) ).
cnf(c_0_143,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0),bool),
inference(spm,[status(thm)],[c_0_28,c_0_94]) ).
cnf(c_0_144,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)),
inference(spm,[status(thm)],[c_0_116,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_140]),c_0_19])]) ).
cnf(c_0_146,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0) ),
inference(rw,[status(thm)],[c_0_141,c_0_115]) ).
cnf(c_0_147,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0)),
inference(spm,[status(thm)],[c_0_42,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__lt,esk1_0),esk2_0),bool),
inference(spm,[status(thm)],[c_0_23,c_0_142]) ).
cnf(c_0_149,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_143]) ).
cnf(c_0_150,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_120,c_0_27]) ).
cnf(c_0_151,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_139]),c_0_144]),c_0_144])]) ).
cnf(c_0_152,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_46])]) ).
cnf(c_0_153,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).
cnf(c_0_154,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,esk1_0),esk2_0))
| ap(ap(c_2Eextreal_2Eextreal__lt,esk1_0),esk2_0) = esk4_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_148]) ).
cnf(c_0_155,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__lt,esk1_0),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_144]),c_0_19]),c_0_27])]) ).
cnf(c_0_156,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0),bool),
inference(spm,[status(thm)],[c_0_34,c_0_55]) ).
cnf(c_0_157,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__max,esk1_0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_158,negated_conjecture,
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_42]),c_0_21])]) ).
cnf(c_0_159,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0) ),
inference(rw,[status(thm)],[c_0_149,c_0_115]) ).
cnf(c_0_160,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)),
inference(sr,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_161,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| esk3_0 = esk2_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_93]),c_0_153]),c_0_107])]) ).
cnf(c_0_162,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__lt,esk1_0),esk2_0) = esk4_0,
inference(sr,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_163,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0) = esk4_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_156]) ).
cnf(c_0_164,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0))),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_165,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0),ty_2Eextreal_2Eextreal),
inference(spm,[status(thm)],[c_0_34,c_0_157]) ).
cnf(c_0_166,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0))) ),
inference(spm,[status(thm)],[c_0_158,c_0_27]) ).
cnf(c_0_167,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]) ).
cnf(c_0_168,negated_conjecture,
( esk2_0 = esk1_0
| esk3_0 = esk2_0
| ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0 ),
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_62,c_0_161]),c_0_162]),c_0_19]),c_0_27])]),c_0_71]) ).
cnf(c_0_169,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0) = esk4_0,
inference(sr,[status(thm)],[c_0_163,c_0_151]) ).
cnf(c_0_170,negated_conjecture,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0),ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0)),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0) = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_164]),c_0_27])]) ).
cnf(c_0_171,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0)),ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0))),
inference(spm,[status(thm)],[c_0_39,c_0_165]) ).
cnf(c_0_172,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_40])]) ).
cnf(c_0_173,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__lt,esk1_0),esk3_0))
| esk3_0 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_167]),c_0_107]),c_0_21]),c_0_27])]) ).
cnf(c_0_174,negated_conjecture,
( esk3_0 = esk2_0
| esk2_0 = esk1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_168]),c_0_169]),c_0_71]) ).
cnf(c_0_175,negated_conjecture,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0)),esk1_0))
| ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0) = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_165])]) ).
cnf(c_0_176,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0)),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_171]),c_0_27]),c_0_165])]) ).
cnf(c_0_177,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk1_0))),
inference(spm,[status(thm)],[c_0_172,c_0_139]) ).
cnf(c_0_178,negated_conjecture,
esk2_0 = esk1_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_162]),c_0_71]) ).
cnf(c_0_179,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__max,esk1_0),esk1_0) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176])]) ).
cnf(c_0_180,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_169]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP021+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 21:52:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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/benchmark/theBenchmark.p
% 0.14/26.21 % Version: 3.5.1
% 0.14/26.21 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.14/26.21 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 0.14/26.21 % Starting new_bool_3 with 888s (3) cores
% 0.14/26.21 % Starting new_bool_1 with 888s (3) cores
% 0.14/26.21 % Starting sh5l with 296s (1) cores
% 0.14/26.21 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 296s (1) cores
% 0.14/26.21 % new_bool_1 with pid 3459849 completed with status 0
% 0.14/26.21 % Result found by new_bool_1
% 0.14/26.21 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.14/26.21 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 0.14/26.21 % Starting new_bool_3 with 888s (3) cores
% 0.14/26.21 % Starting new_bool_1 with 888s (3) cores
% 0.14/26.21 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/26.21 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/26.21 % Search class: FGHSF-SMLM33-DFFFFFNN
% 0.14/26.21 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 0.14/26.21 % Scheduled 7 strats onto 3 cores with 888 seconds (888 total)
% 0.14/26.21 % Starting SubtermCWHack with 80s (1) cores
% 0.14/26.21 % Starting new_bool_1 with 89s (1) cores
% 0.14/26.21 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 80s (1) cores
% 0.14/26.21 % new_bool_1 with pid 3459853 completed with status 0
% 0.14/26.21 % Result found by new_bool_1
% 0.14/26.21 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.14/26.21 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 0.14/26.21 % Starting new_bool_3 with 888s (3) cores
% 0.14/26.21 % Starting new_bool_1 with 888s (3) cores
% 0.14/26.21 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/26.21 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/26.21 % Search class: FGHSF-SMLM33-DFFFFFNN
% 0.14/26.21 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 0.14/26.21 % Scheduled 7 strats onto 3 cores with 888 seconds (888 total)
% 0.14/26.21 % Starting SubtermCWHack with 80s (1) cores
% 0.14/26.21 % Starting new_bool_1 with 89s (1) cores
% 0.14/26.21 % Preprocessing time : 0.319 s
% 0.14/26.21 % Presaturation interreduction done
% 0.14/26.21
% 0.14/26.21 % Proof found!
% 0.14/26.21 % SZS status Theorem
% 0.14/26.21 % SZS output start CNFRefutation
% See solution above
% 0.14/26.21 % Parsed axioms : 19039
% 0.14/26.21 % Removed by relevancy pruning/SinE : 18088
% 0.14/26.21 % Initial clauses : 4942
% 0.14/26.21 % Removed in clause preprocessing : 1495
% 0.14/26.21 % Initial clauses in saturation : 3447
% 0.14/26.21 % Processed clauses : 12141
% 0.14/26.21 % ...of these trivial : 68
% 0.14/26.21 % ...subsumed : 2184
% 0.14/26.21 % ...remaining for further processing : 9889
% 0.14/26.21 % Other redundant clauses eliminated : 180
% 0.14/26.21 % Clauses deleted for lack of memory : 0
% 0.14/26.21 % Backward-subsumed : 190
% 0.14/26.21 % Backward-rewritten : 1419
% 0.14/26.21 % Generated clauses : 158290
% 0.14/26.21 % ...of the previous two non-redundant : 156094
% 0.14/26.21 % ...aggressively subsumed : 0
% 0.14/26.21 % Contextual simplify-reflections : 22
% 0.14/26.21 % Paramodulations : 158070
% 0.14/26.21 % Factorizations : 13
% 0.14/26.21 % NegExts : 0
% 0.14/26.21 % Equation resolutions : 180
% 0.14/26.21 % Disequality decompositions : 0
% 0.14/26.21 % Total rewrite steps : 43001
% 0.14/26.21 % ...of those cached : 42562
% 0.14/26.21 % Propositional unsat checks : 1
% 0.14/26.21 % Propositional check models : 1
% 0.14/26.21 % Propositional check unsatisfiable : 0
% 0.14/26.21 % Propositional clauses : 0
% 0.14/26.21 % Propositional clauses after purity: 0
% 0.14/26.21 % Propositional unsat core size : 0
% 0.14/26.21 % Propositional preprocessing time : 0.000
% 0.14/26.21 % Propositional encoding time : 0.115
% 0.14/26.21 % Propositional solver time : 0.047
% 0.14/26.21 % Success case prop preproc time : 0.000
% 0.14/26.21 % Success case prop encoding time : 0.000
% 0.14/26.21 % Success case prop solver time : 0.000
% 0.14/26.21 % Current number of processed clauses : 4970
% 0.14/26.21 % Positive orientable unit clauses : 658
% 0.14/26.21 % Positive unorientable unit clauses: 0
% 0.14/26.21 % Negative unit clauses : 2691
% 0.14/26.21 % Non-unit-clauses : 1621
% 0.14/26.21 % Current number of unprocessed clauses: 149669
% 0.14/26.21 % ...number of literals in the above : 682905
% 0.14/26.21 % Current number of archived formulas : 0
% 0.14/26.21 % Current number of archived clauses : 4748
% 0.14/26.21 % Clause-clause subsumption calls (NU) : 7393819
% 0.14/26.21 % Rec. Clause-clause subsumption calls : 583064
% 0.14/26.21 % Non-unit clause-clause subsumptions : 1804
% 0.14/26.21 % Unit Clause-clause subsumption calls : 216981
% 0.14/26.21 % Rewrite failures with RHS unbound : 0
% 0.14/26.21 % BW rewrite match attempts : 99045
% 0.14/26.21 % BW rewrite match successes : 71
% 0.14/26.21 % Condensation attempts : 0
% 0.14/26.21 % Condensation successes : 0
% 0.14/26.21 % Termbank termtop insertions : 6140536
% 0.14/26.21 % Search garbage collected termcells : 458962
% 0.14/26.21
% 0.14/26.21 % -------------------------------------------------
% 0.14/26.21 % User time : 20.467 s
% 0.14/26.21 % System time : 0.483 s
% 0.14/26.21 % Total time : 20.950 s
% 0.14/26.21 % Maximum resident set size: 79676 pages
% 0.14/26.21
% 0.14/26.21 % -------------------------------------------------
% 0.14/26.21 % User time : 64.389 s
% 0.14/26.21 % System time : 1.561 s
% 0.14/26.21 % Total time : 65.950 s
% 0.14/26.21 % Maximum resident set size: 63488 pages
% 0.14/26.21 % E exiting
%------------------------------------------------------------------------------