TSTP Solution File: ITP021+2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP021+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : Mon May 20 22:15:48 EDT 2024
% Result : Theorem 16.39s 2.63s
% Output : CNFRefutation 16.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 137 ( 50 unt; 0 def)
% Number of atoms : 324 ( 57 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 295 ( 108 ~; 151 |; 11 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Eextreal_2Emax__le,conjecture,
! [X22] :
( mem(X22,ty_2Eextreal_2Eextreal)
=> ! [X23] :
( mem(X23,ty_2Eextreal_2Eextreal)
=> ! [X24] :
( mem(X24,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X23),X24)),X22))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X23),X22))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X24),X22)) ) ) ) ) ),
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__total,axiom,
! [X13] :
( mem(X13,ty_2Eextreal_2Eextreal)
=> ! [X14] :
( mem(X14,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X13),X14))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X14),X13)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total) ).
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(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_false_p,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_false_p) ).
fof(mem_c_2Ebool_2ET,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
fof(ax_true_p,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).
fof(conj_thm_2Ebool_2ECOND__CLAUSES,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( mem(X10,X9)
=> ! [X11] :
( mem(X11,X9)
=> ( ap(ap(ap(c_2Ebool_2ECOND(X9),c_2Ebool_2ET),X10),X11) = X10
& ap(ap(ap(c_2Ebool_2ECOND(X9),c_2Ebool_2EF),X10),X11) = X11 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ECOND__CLAUSES) ).
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(ne_ty_2Eextreal_2Eextreal,axiom,
ne(ty_2Eextreal_2Eextreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Eextreal_2Eextreal) ).
fof(mem_c_2Ebool_2EF,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).
fof(ax_thm_2Eextreal_2Eextreal__max__def,axiom,
! [X13] :
( mem(X13,ty_2Eextreal_2Eextreal)
=> ! [X14] :
( mem(X14,ty_2Eextreal_2Eextreal)
=> ap(ap(c_2Eextreal_2Eextreal__max,X13),X14) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X13),X14)),X14),X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Eextreal_2Eextreal__max__def) ).
fof(conj_thm_2Eextreal_2Ele__trans,axiom,
! [X13] :
( mem(X13,ty_2Eextreal_2Eextreal)
=> ! [X14] :
( mem(X14,ty_2Eextreal_2Eextreal)
=> ! [X18] :
( mem(X18,ty_2Eextreal_2Eextreal)
=> ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X13),X14))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X14),X18)) )
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X13),X18)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans) ).
fof(c_0_14,negated_conjecture,
~ ! [X22] :
( mem(X22,ty_2Eextreal_2Eextreal)
=> ! [X23] :
( mem(X23,ty_2Eextreal_2Eextreal)
=> ! [X24] :
( mem(X24,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X23),X24)),X22))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X23),X22))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X24),X22)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le]) ).
fof(c_0_15,plain,
! [X62,X63,X64,X65] :
( ~ mem(X64,arr(X62,X63))
| ~ mem(X65,X62)
| mem(ap(X64,X65),X63) ),
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_16,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_14])])])])]) ).
cnf(c_0_17,plain,
( mem(ap(X1,X4),X3)
| ~ mem(X1,arr(X2,X3))
| ~ mem(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
mem(esk3_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X74,X75] :
( ~ mem(X74,ty_2Eextreal_2Eextreal)
| ~ mem(X75,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X74),X75))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X75),X74)) ),
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_20,plain,
! [X28,X29] :
( ( ~ p(X28)
| ~ p(X29)
| X28 = X29
| ~ mem(X29,bool)
| ~ mem(X28,bool) )
& ( p(X28)
| p(X29)
| X28 = X29
| ~ mem(X29,bool)
| ~ mem(X28,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_21,negated_conjecture,
( mem(ap(X1,esk3_0),X2)
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,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]) ).
cnf(c_0_23,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_19]) ).
cnf(c_0_24,negated_conjecture,
mem(esk2_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_25,plain,
~ p(c_2Ebool_2EF),
inference(fof_simplification,[status(thm)],[ax_false_p]) ).
cnf(c_0_26,plain,
( X1 = X2
| ~ p(X1)
| ~ p(X2)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
mem(c_2Ebool_2ET,bool),
inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET]) ).
cnf(c_0_28,plain,
p(c_2Ebool_2ET),
inference(split_conjunct,[status(thm)],[ax_true_p]) ).
cnf(c_0_29,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__le,esk3_0),arr(ty_2Eextreal_2Eextreal,bool)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,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_23,c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( mem(ap(X1,esk2_0),X2)
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
mem(esk1_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_33,plain,
! [X81,X82,X83] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X81),c_2Ebool_2ET),X82),X83) = X82
| ~ mem(X83,X81)
| ~ mem(X82,X81)
| ~ ne(X81) )
& ( ap(ap(ap(c_2Ebool_2ECOND(X81),c_2Ebool_2EF),X82),X83) = X83
| ~ mem(X83,X81)
| ~ mem(X82,X81)
| ~ ne(X81) ) ),
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_2Ebool_2ECOND__CLAUSES])])])])]) ).
fof(c_0_34,plain,
~ p(c_2Ebool_2EF),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( X1 = c_2Ebool_2ET
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_36,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0),bool),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)),
inference(spm,[status(thm)],[c_0_30,c_0_18]) ).
cnf(c_0_38,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__le,esk2_0),arr(ty_2Eextreal_2Eextreal,bool)),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_39,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_23,c_0_24]) ).
cnf(c_0_40,negated_conjecture,
( mem(ap(X1,esk1_0),X2)
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_32]) ).
cnf(c_0_41,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_42,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X2),X3) = X3
| ~ mem(X3,X1)
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
ne(ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[ne_ty_2Eextreal_2Eextreal]) ).
cnf(c_0_44,plain,
( p(X1)
| p(X2)
| X1 = X2
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,plain,
mem(c_2Ebool_2EF,bool),
inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF]) ).
cnf(c_0_46,plain,
~ p(c_2Ebool_2EF),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_47,plain,
! [X76,X77] :
( ~ mem(X76,ty_2Eextreal_2Eextreal)
| ~ mem(X77,ty_2Eextreal_2Eextreal)
| ap(ap(c_2Eextreal_2Eextreal__max,X76),X77) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X76),X77)),X77),X76) ),
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_48,negated_conjecture,
c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_49,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0),bool),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_50,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0)),
inference(spm,[status(thm)],[c_0_39,c_0_24]) ).
cnf(c_0_51,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__le,esk1_0),arr(ty_2Eextreal_2Eextreal,bool)),
inference(spm,[status(thm)],[c_0_40,c_0_22]) ).
cnf(c_0_52,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_23,c_0_32]) ).
cnf(c_0_53,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_16]) ).
cnf(c_0_54,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_39,c_0_32]) ).
cnf(c_0_55,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__max,esk2_0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
cnf(c_0_56,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X1),esk2_0) = esk2_0
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_24]),c_0_43])]) ).
cnf(c_0_57,plain,
( X1 = c_2Ebool_2EF
| p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_58,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0),bool),
inference(spm,[status(thm)],[c_0_21,c_0_38]) ).
cnf(c_0_59,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_47]) ).
cnf(c_0_60,plain,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(rw,[status(thm)],[c_0_35,c_0_48]) ).
cnf(c_0_61,negated_conjecture,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_49]),c_0_50])]) ).
cnf(c_0_62,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),bool),
inference(spm,[status(thm)],[c_0_40,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_52,c_0_32]) ).
cnf(c_0_64,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_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)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,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_30,c_0_32]) ).
cnf(c_0_66,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal),
inference(spm,[status(thm)],[c_0_21,c_0_55]) ).
cnf(c_0_67,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),esk3_0),esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_56,c_0_18]) ).
cnf(c_0_68,negated_conjecture,
( c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_69,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0)),esk3_0),X1) = ap(ap(c_2Eextreal_2Eextreal__max,X1),esk3_0)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_59,c_0_18]) ).
cnf(c_0_70,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_60,c_0_49]),c_0_50])]) ).
cnf(c_0_71,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_61,c_0_62]),c_0_63])]) ).
cnf(c_0_72,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)),esk3_0),esk2_0) = esk2_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)),esk3_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),
inference(spm,[status(thm)],[c_0_69,c_0_24]) ).
cnf(c_0_76,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3) = X2
| ~ mem(X3,X1)
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_77,plain,
( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_70]),c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),esk2_0) = X1
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_24]),c_0_43])]) ).
fof(c_0_81,plain,
! [X71,X72,X73] :
( ~ mem(X71,ty_2Eextreal_2Eextreal)
| ~ mem(X72,ty_2Eextreal_2Eextreal)
| ~ mem(X73,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X71),X72))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X72),X73))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X71),X73)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__trans])])])]) ).
cnf(c_0_82,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_77,c_0_58]) ).
cnf(c_0_83,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0)),esk3_0),esk2_0) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_18]),c_0_48]),c_0_70]) ).
cnf(c_0_85,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3))
| ~ 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,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)),esk3_0),esk2_0) = esk3_0,
inference(spm,[status(thm)],[c_0_84,c_0_71]) ).
cnf(c_0_88,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_85,c_0_18]) ).
cnf(c_0_89,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_16]) ).
cnf(c_0_90,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0),bool),
inference(spm,[status(thm)],[c_0_21,c_0_51]) ).
cnf(c_0_91,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk3_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_86]),c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_88,c_0_32]) ).
cnf(c_0_93,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_89,c_0_79]) ).
cnf(c_0_94,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_77,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_78,c_0_91]) ).
cnf(c_0_96,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_24]),c_0_93]) ).
cnf(c_0_97,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_63])]) ).
cnf(c_0_99,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_82,c_0_98]) ).
cnf(c_0_100,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0),bool),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_101,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_16]) ).
cnf(c_0_102,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk3_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_99]),c_0_87]) ).
cnf(c_0_103,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_82,c_0_93]) ).
cnf(c_0_104,negated_conjecture,
( c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_88,c_0_24]) ).
cnf(c_0_106,negated_conjecture,
( c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_90]) ).
cnf(c_0_107,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_85,c_0_32]) ).
cnf(c_0_109,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk3_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_103]),c_0_87]) ).
cnf(c_0_110,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(rw,[status(thm)],[c_0_104,c_0_48]) ).
cnf(c_0_111,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_32]) ).
cnf(c_0_112,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_106]) ).
cnf(c_0_113,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_108,c_0_18]) ).
cnf(c_0_115,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0) = 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_110,c_0_65]) ).
cnf(c_0_117,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_102]),c_0_107]) ).
cnf(c_0_119,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_24]),c_0_93]),c_0_115]) ).
cnf(c_0_120,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk2_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_116,c_0_70]) ).
cnf(c_0_121,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
cnf(c_0_122,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0),bool),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
cnf(c_0_123,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)],[c_0_53,c_0_119])]) ).
cnf(c_0_124,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,esk1_0),esk3_0)) ),
inference(rw,[status(thm)],[c_0_120,c_0_71]) ).
cnf(c_0_125,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)),esk3_0),esk2_0) = esk2_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_67,c_0_106]) ).
cnf(c_0_126,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)),esk3_0),esk2_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_121]) ).
cnf(c_0_127,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(spm,[status(thm)],[c_0_77,c_0_122]) ).
cnf(c_0_128,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0))
| ~ 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(spm,[status(thm)],[c_0_123,c_0_124]),c_0_63])]) ).
cnf(c_0_129,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_119])]) ).
cnf(c_0_131,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_63])]) ).
cnf(c_0_132,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_131])]) ).
cnf(c_0_133,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__le,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_132])]) ).
cnf(c_0_134,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk3_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_133]),c_0_87]) ).
cnf(c_0_135,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)),
inference(spm,[status(thm)],[c_0_101,c_0_134]) ).
cnf(c_0_136,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_134]),c_0_135]),c_0_135])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP021+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat May 18 18:19:52 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 16.39/2.63 # Version: 3.1.0
% 16.39/2.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 16.39/2.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.39/2.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 16.39/2.63 # Starting new_bool_3 with 300s (1) cores
% 16.39/2.63 # Starting new_bool_1 with 300s (1) cores
% 16.39/2.63 # Starting sh5l with 300s (1) cores
% 16.39/2.63 # new_bool_1 with pid 12759 completed with status 0
% 16.39/2.63 # Result found by new_bool_1
% 16.39/2.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 16.39/2.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.39/2.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 16.39/2.63 # Starting new_bool_3 with 300s (1) cores
% 16.39/2.63 # Starting new_bool_1 with 300s (1) cores
% 16.39/2.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 16.39/2.63 # Search class: FGHSF-FFMM32-MFFFFFNN
% 16.39/2.63 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 16.39/2.63 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 181s (1) cores
% 16.39/2.63 # G-E--_208_B07_F1_SE_CS_SP_PS_S4d with pid 12762 completed with status 0
% 16.39/2.63 # Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S4d
% 16.39/2.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 16.39/2.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.39/2.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 16.39/2.63 # Starting new_bool_3 with 300s (1) cores
% 16.39/2.63 # Starting new_bool_1 with 300s (1) cores
% 16.39/2.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 16.39/2.63 # Search class: FGHSF-FFMM32-MFFFFFNN
% 16.39/2.63 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 16.39/2.63 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 181s (1) cores
% 16.39/2.63 # Preprocessing time : 0.002 s
% 16.39/2.63 # Presaturation interreduction done
% 16.39/2.63
% 16.39/2.63 # Proof found!
% 16.39/2.63 # SZS status Theorem
% 16.39/2.63 # SZS output start CNFRefutation
% See solution above
% 16.39/2.63 # Parsed axioms : 56
% 16.39/2.63 # Removed by relevancy pruning/SinE : 16
% 16.39/2.63 # Initial clauses : 307
% 16.39/2.63 # Removed in clause preprocessing : 252
% 16.39/2.63 # Initial clauses in saturation : 55
% 16.39/2.63 # Processed clauses : 13138
% 16.39/2.63 # ...of these trivial : 1032
% 16.39/2.63 # ...subsumed : 6636
% 16.39/2.63 # ...remaining for further processing : 5470
% 16.39/2.63 # Other redundant clauses eliminated : 0
% 16.39/2.63 # Clauses deleted for lack of memory : 0
% 16.39/2.63 # Backward-subsumed : 838
% 16.39/2.63 # Backward-rewritten : 3287
% 16.39/2.63 # Generated clauses : 195424
% 16.39/2.63 # ...of the previous two non-redundant : 176303
% 16.39/2.63 # ...aggressively subsumed : 0
% 16.39/2.63 # Contextual simplify-reflections : 42
% 16.39/2.63 # Paramodulations : 195383
% 16.39/2.63 # Factorizations : 40
% 16.39/2.63 # NegExts : 0
% 16.39/2.63 # Equation resolutions : 1
% 16.39/2.63 # Disequality decompositions : 0
% 16.39/2.63 # Total rewrite steps : 32457
% 16.39/2.63 # ...of those cached : 31726
% 16.39/2.63 # Propositional unsat checks : 0
% 16.39/2.63 # Propositional check models : 0
% 16.39/2.63 # Propositional check unsatisfiable : 0
% 16.39/2.63 # Propositional clauses : 0
% 16.39/2.63 # Propositional clauses after purity: 0
% 16.39/2.63 # Propositional unsat core size : 0
% 16.39/2.63 # Propositional preprocessing time : 0.000
% 16.39/2.63 # Propositional encoding time : 0.000
% 16.39/2.63 # Propositional solver time : 0.000
% 16.39/2.63 # Success case prop preproc time : 0.000
% 16.39/2.63 # Success case prop encoding time : 0.000
% 16.39/2.63 # Success case prop solver time : 0.000
% 16.39/2.63 # Current number of processed clauses : 1308
% 16.39/2.63 # Positive orientable unit clauses : 613
% 16.39/2.63 # Positive unorientable unit clauses: 0
% 16.39/2.63 # Negative unit clauses : 1
% 16.39/2.63 # Non-unit-clauses : 694
% 16.39/2.63 # Current number of unprocessed clauses: 161223
% 16.39/2.63 # ...number of literals in the above : 414177
% 16.39/2.63 # Current number of archived formulas : 0
% 16.39/2.63 # Current number of archived clauses : 4162
% 16.39/2.63 # Clause-clause subsumption calls (NU) : 1029409
% 16.39/2.63 # Rec. Clause-clause subsumption calls : 491606
% 16.39/2.63 # Non-unit clause-clause subsumptions : 6758
% 16.39/2.63 # Unit Clause-clause subsumption calls : 698393
% 16.39/2.63 # Rewrite failures with RHS unbound : 0
% 16.39/2.63 # BW rewrite match attempts : 11700
% 16.39/2.63 # BW rewrite match successes : 390
% 16.39/2.63 # Condensation attempts : 0
% 16.39/2.63 # Condensation successes : 0
% 16.39/2.63 # Termbank termtop insertions : 4689911
% 16.39/2.63 # Search garbage collected termcells : 3426
% 16.39/2.63
% 16.39/2.63 # -------------------------------------------------
% 16.39/2.63 # User time : 2.014 s
% 16.39/2.63 # System time : 0.095 s
% 16.39/2.63 # Total time : 2.109 s
% 16.39/2.63 # Maximum resident set size: 2356 pages
% 16.39/2.63
% 16.39/2.63 # -------------------------------------------------
% 16.39/2.63 # User time : 2.017 s
% 16.39/2.63 # System time : 0.097 s
% 16.39/2.63 # Total time : 2.114 s
% 16.39/2.63 # Maximum resident set size: 1800 pages
% 16.39/2.63 % E---3.1 exiting
% 16.39/2.63 % E exiting
%------------------------------------------------------------------------------