TSTP Solution File: ITP021+5 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP021+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 22:46:08 EDT 2022
% Result : Theorem 2.33s 8.50s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 73 ( 22 unt; 0 def)
% Number of atoms : 217 ( 16 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 239 ( 95 ~; 105 |; 13 &)
% ( 4 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
fof(conj_thm_2Eextreal_2Emax__le,conjecture,
! [X319] :
( mem(X319,ty_2Eextreal_2Eextreal)
=> ! [X17] :
( mem(X17,ty_2Eextreal_2Eextreal)
=> ! [X18] :
( mem(X18,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X17),X18)),X319))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X17),X319))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X18),X319)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Eextreal_2Emax__le) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Eextreal_2Ele__refl) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Eextreal_2Ele__max1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Eextreal_2Ele__max2) ).
fof(conj_thm_2Eextreal_2Ele__max,axiom,
! [X319] :
( mem(X319,ty_2Eextreal_2Eextreal)
=> ! [X17] :
( mem(X17,ty_2Eextreal_2Eextreal)
=> ! [X18] :
( mem(X18,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X319),ap(ap(c_2Eextreal_2Eextreal__max,X17),X18)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X319),X17))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X319),X18)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Eextreal_2Ele__max) ).
fof(conj_thm_2Eextreal_2Ele__trans,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ! [X40] :
( mem(X40,ty_2Eextreal_2Eextreal)
=> ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X25),X40)) )
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X40)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans) ).
fof(conj_thm_2Eextreal_2Ele__antisym,axiom,
! [X32] :
( mem(X32,ty_2Eextreal_2Eextreal)
=> ! [X25] :
( mem(X25,ty_2Eextreal_2Eextreal)
=> ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X32),X25))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X25),X32)) )
<=> X32 = X25 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Eextreal_2Ele__antisym) ).
fof(c_0_9,plain,
! [X5,X6,X7,X8] :
( ~ mem(X7,arr(X5,X6))
| ~ mem(X8,X5)
| mem(ap(X7,X8),X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])]) ).
fof(c_0_10,negated_conjecture,
~ ! [X319] :
( mem(X319,ty_2Eextreal_2Eextreal)
=> ! [X17] :
( mem(X17,ty_2Eextreal_2Eextreal)
=> ! [X18] :
( mem(X18,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X17),X18)),X319))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X17),X319))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X18),X319)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le]) ).
cnf(c_0_11,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,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_13,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(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
cnf(c_0_14,plain,
( mem(ap(c_2Eextreal_2Eextreal__max,X1),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
mem(esk3_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__max,esk3_0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_17,plain,
! [X33] :
( ~ mem(X33,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X33),X33)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__refl])]) ).
cnf(c_0_18,negated_conjecture,
( mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),X1),ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
mem(esk1_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X33,X34] :
( ~ mem(X33,ty_2Eextreal_2Eextreal)
| ~ mem(X34,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X33),ap(ap(c_2Eextreal_2Eextreal__max,X33),X34))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__max1])])])])]) ).
fof(c_0_21,plain,
! [X33,X34] :
( ~ mem(X33,ty_2Eextreal_2Eextreal)
| ~ mem(X34,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,X34),ap(ap(c_2Eextreal_2Eextreal__max,X33),X34))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[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_22,negated_conjecture,
mem(esk2_0,ty_2Eextreal_2Eextreal),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_23,plain,
! [X320,X321,X322] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X320),ap(ap(c_2Eextreal_2Eextreal__max,X321),X322)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X320),X321))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X320),X322))
| ~ mem(X322,ty_2Eextreal_2Eextreal)
| ~ mem(X321,ty_2Eextreal_2Eextreal)
| ~ mem(X320,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X320),X321))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X320),ap(ap(c_2Eextreal_2Eextreal__max,X321),X322)))
| ~ mem(X322,ty_2Eextreal_2Eextreal)
| ~ mem(X321,ty_2Eextreal_2Eextreal)
| ~ mem(X320,ty_2Eextreal_2Eextreal) )
& ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X320),X322))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X320),ap(ap(c_2Eextreal_2Eextreal__max,X321),X322)))
| ~ mem(X322,ty_2Eextreal_2Eextreal)
| ~ mem(X321,ty_2Eextreal_2Eextreal)
| ~ mem(X320,ty_2Eextreal_2Eextreal) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[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_24,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0),ty_2Eextreal_2Eextreal),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X2),X1)))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X2,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X41,X42,X43] :
( ~ mem(X41,ty_2Eextreal_2Eextreal)
| ~ mem(X42,ty_2Eextreal_2Eextreal)
| ~ mem(X43,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X41),X42))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X42),X43))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X41),X43)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[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_29,negated_conjecture,
mem(ap(c_2Eextreal_2Eextreal__max,esk2_0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
fof(c_0_30,plain,
! [X33,X34] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X33),X34))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X34),X33))
| X33 = X34
| ~ mem(X34,ty_2Eextreal_2Eextreal)
| ~ mem(X33,ty_2Eextreal_2Eextreal) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,X33),X34))
| X33 != X34
| ~ mem(X34,ty_2Eextreal_2Eextreal)
| ~ mem(X33,ty_2Eextreal_2Eextreal) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,X34),X33))
| X33 != X34
| ~ mem(X34,ty_2Eextreal_2Eextreal)
| ~ mem(X33,ty_2Eextreal_2Eextreal) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[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_31,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ 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))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,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_24,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X1),esk1_0)))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_34,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),X1)))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_27,c_0_15]) ).
cnf(c_0_35,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X3,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,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_13]) ).
cnf(c_0_37,negated_conjecture,
( mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),X1),ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_11,c_0_29]) ).
cnf(c_0_38,plain,
( X1 = X2
| ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,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_31,c_0_32]),c_0_19]),c_0_15]),c_0_25])]) ).
cnf(c_0_40,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_33,c_0_15]) ).
cnf(c_0_41,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_13]) ).
cnf(c_0_42,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_34,c_0_19]) ).
cnf(c_0_43,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_19])]) ).
cnf(c_0_44,negated_conjecture,
mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal),
inference(spm,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),X1)))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_46,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk3_0
| p(ap(ap(c_2Eextreal_2Eextreal__le,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_25]),c_0_15])]) ).
cnf(c_0_47,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_41]),c_0_19])]) ).
cnf(c_0_48,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X1),esk3_0)))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_49,negated_conjecture,
( 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)),esk1_0))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_19])]) ).
cnf(c_0_50,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).
cnf(c_0_51,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_45,c_0_15]) ).
cnf(c_0_52,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_46]),c_0_42]),c_0_25]),c_0_19])]) ).
cnf(c_0_53,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_44])]) ).
cnf(c_0_54,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_48,c_0_22]) ).
cnf(c_0_55,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0),ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_40]),c_0_15])]) ).
cnf(c_0_56,negated_conjecture,
( 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)),esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_25])]) ).
cnf(c_0_57,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_15])]) ).
cnf(c_0_58,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0
| esk3_0 != esk1_0 ),
inference(ef,[status(thm)],[c_0_52]) ).
cnf(c_0_59,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_13]) ).
cnf(c_0_60,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_22])]) ).
cnf(c_0_61,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_25])]) ).
cnf(c_0_62,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk1_0) = esk1_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_52]),c_0_57])]),c_0_58]) ).
cnf(c_0_63,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_24,c_0_44]) ).
cnf(c_0_64,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_59,c_0_60])]) ).
cnf(c_0_65,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk2_0))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0),ty_2Eextreal_2Eextreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_54]),c_0_22])]) ).
cnf(c_0_66,negated_conjecture,
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk1_0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,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_31,c_0_63]),c_0_15]),c_0_22]),c_0_44])]) ).
cnf(c_0_68,negated_conjecture,
~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_57])]) ).
cnf(c_0_69,negated_conjecture,
( ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_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)],[c_0_65,c_0_44])]) ).
cnf(c_0_70,negated_conjecture,
p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0)),esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_44])]),c_0_68]) ).
cnf(c_0_71,negated_conjecture,
ap(ap(c_2Eextreal_2Eextreal__max,esk2_0),esk3_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_71]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP021+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 3 04:20:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.33/8.50 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 2.33/8.50 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 2.33/8.50 # Preprocessing time : 1.329 s
% 2.33/8.50
% 2.33/8.50 # Proof found!
% 2.33/8.50 # SZS status Theorem
% 2.33/8.50 # SZS output start CNFRefutation
% See solution above
% 2.33/8.50 # Proof object total steps : 73
% 2.33/8.50 # Proof object clause steps : 55
% 2.33/8.50 # Proof object formula steps : 18
% 2.33/8.50 # Proof object conjectures : 49
% 2.33/8.50 # Proof object clause conjectures : 46
% 2.33/8.50 # Proof object formula conjectures : 3
% 2.33/8.50 # Proof object initial clauses used : 14
% 2.33/8.50 # Proof object initial formulas used : 9
% 2.33/8.50 # Proof object generating inferences : 31
% 2.33/8.50 # Proof object simplifying inferences : 56
% 2.33/8.50 # Training examples: 0 positive, 0 negative
% 2.33/8.50 # Parsed axioms : 19039
% 2.33/8.50 # Removed by relevancy pruning/SinE : 18714
% 2.33/8.50 # Initial clauses : 1895
% 2.33/8.50 # Removed in clause preprocessing : 1112
% 2.33/8.50 # Initial clauses in saturation : 783
% 2.33/8.50 # Processed clauses : 6483
% 2.33/8.50 # ...of these trivial : 179
% 2.33/8.50 # ...subsumed : 672
% 2.33/8.50 # ...remaining for further processing : 5632
% 2.33/8.50 # Other redundant clauses eliminated : 14
% 2.33/8.50 # Clauses deleted for lack of memory : 70019
% 2.33/8.50 # Backward-subsumed : 111
% 2.33/8.50 # Backward-rewritten : 1177
% 2.33/8.50 # Generated clauses : 189938
% 2.33/8.50 # ...of the previous two non-trivial : 187265
% 2.33/8.50 # Contextual simplify-reflections : 503
% 2.33/8.50 # Paramodulations : 189912
% 2.33/8.50 # Factorizations : 7
% 2.33/8.50 # Equation resolutions : 23
% 2.33/8.50 # Current number of processed clauses : 4334
% 2.33/8.50 # Positive orientable unit clauses : 968
% 2.33/8.50 # Positive unorientable unit clauses: 0
% 2.33/8.50 # Negative unit clauses : 83
% 2.33/8.50 # Non-unit-clauses : 3283
% 2.33/8.50 # Current number of unprocessed clauses: 86178
% 2.33/8.50 # ...number of literals in the above : 378825
% 2.33/8.50 # Current number of archived formulas : 0
% 2.33/8.50 # Current number of archived clauses : 1288
% 2.33/8.50 # Clause-clause subsumption calls (NU) : 1486256
% 2.33/8.50 # Rec. Clause-clause subsumption calls : 221422
% 2.33/8.50 # Non-unit clause-clause subsumptions : 1127
% 2.33/8.50 # Unit Clause-clause subsumption calls : 136749
% 2.33/8.50 # Rewrite failures with RHS unbound : 0
% 2.33/8.50 # BW rewrite match attempts : 653346
% 2.33/8.50 # BW rewrite match successes : 65
% 2.33/8.50 # Condensation attempts : 0
% 2.33/8.50 # Condensation successes : 0
% 2.33/8.50 # Termbank termtop insertions : 9172367
% 2.33/8.50
% 2.33/8.50 # -------------------------------------------------
% 2.33/8.50 # User time : 5.453 s
% 2.33/8.50 # System time : 0.151 s
% 2.33/8.50 # Total time : 5.604 s
% 2.33/8.50 # Maximum resident set size: 212664 pages
% 2.35/25.46 eprover: CPU time limit exceeded, terminating
% 2.35/25.46 eprover: CPU time limit exceeded, terminating
% 2.35/25.47 eprover: CPU time limit exceeded, terminating
% 2.35/25.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.48 eprover: No such file or directory
% 2.35/25.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.48 eprover: No such file or directory
% 2.35/25.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.49 eprover: No such file or directory
% 2.35/25.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.49 eprover: No such file or directory
% 2.35/25.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.49 eprover: No such file or directory
% 2.35/25.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.50 eprover: No such file or directory
% 2.35/25.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.50 eprover: No such file or directory
% 2.35/25.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.51 eprover: No such file or directory
% 2.35/25.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.51 eprover: No such file or directory
% 2.35/25.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.51 eprover: No such file or directory
% 2.35/25.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.52 eprover: No such file or directory
% 2.35/25.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.52 eprover: No such file or directory
% 2.35/25.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.52 eprover: No such file or directory
% 2.35/25.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.52 eprover: No such file or directory
% 2.35/25.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.53 eprover: No such file or directory
% 2.35/25.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.53 eprover: No such file or directory
% 2.35/25.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.53 eprover: No such file or directory
% 2.35/25.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.53 eprover: No such file or directory
% 2.35/25.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.54 eprover: No such file or directory
% 2.35/25.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.54 eprover: No such file or directory
% 2.35/25.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.54 eprover: No such file or directory
% 2.35/25.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.54 eprover: No such file or directory
% 2.35/25.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.55 eprover: No such file or directory
% 2.35/25.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.55 eprover: No such file or directory
% 2.35/25.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.55 eprover: No such file or directory
% 2.35/25.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.55 eprover: No such file or directory
% 2.35/25.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.55 eprover: No such file or directory
% 2.35/25.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.56 eprover: No such file or directory
% 2.35/25.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.56 eprover: No such file or directory
% 2.35/25.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.35/25.56 eprover: No such file or directory
% 2.35/25.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.56 eprover: No such file or directory
% 2.35/25.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.57 eprover: No such file or directory
% 2.35/25.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.35/25.57 eprover: No such file or directory
%------------------------------------------------------------------------------