TSTP Solution File: ITP021+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP021+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 3.60s 6.77s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 70 ( 22 unt; 0 def)
% Number of atoms : 158 ( 30 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 131 ( 43 ~; 70 |; 11 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 86 ( 10 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Eextreal_2Emax__le,conjecture,
! [X75,X12,X20] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X20))),s(tyop_2Eextreal_2Eextreal,X75))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X75))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X20),s(tyop_2Eextreal_2Eextreal,X75)))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Emax__le) ).
fof(thm_2Eextreal_2Ele__total,axiom,
! [X9,X10] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9)))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Ele__total) ).
fof(reserved_2Eho_2Eboolext,axiom,
! [X6,X7] :
( ( p(s(tyop_2Emin_2Ebool,X6))
<=> p(s(tyop_2Emin_2Ebool,X7)) )
=> s(tyop_2Emin_2Ebool,X6) = s(tyop_2Emin_2Ebool,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP002+4.ax',reserved_2Eho_2Eboolext) ).
fof(thm_2Eextreal_2Ele__max,axiom,
! [X75,X12,X20] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X75),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X20))))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X75),s(tyop_2Eextreal_2Eextreal,X12))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X75),s(tyop_2Eextreal_2Eextreal,X20)))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Ele__max) ).
fof(thm_2Eextreal_2Ele__antisym,axiom,
! [X9,X10] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9)))) )
<=> s(tyop_2Eextreal_2Eextreal,X9) = s(tyop_2Eextreal_2Eextreal,X10) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Ele__antisym) ).
fof(thm_2Eextreal_2Ele__max2,axiom,
! [X9,X10] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10)))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Ele__max2) ).
fof(thm_2Eextreal_2Ele__trans,axiom,
! [X9,X10,X46] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X46)))) )
=> p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X46)))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Ele__trans) ).
fof(thm_2Eextreal_2Eextreal__max__def,axiom,
! [X9,X10] : s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))),s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Eextreal__max__def) ).
fof(thm_2Eextreal_2Ele__refl,axiom,
! [X9] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X9)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Ele__refl) ).
fof(thm_2Eextreal_2Ele__max1,axiom,
! [X9,X10] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10)))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Eextreal_2Ele__max1) ).
fof(c_0_10,negated_conjecture,
~ ! [X75,X12,X20] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X20))),s(tyop_2Eextreal_2Eextreal,X75))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X75))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X20),s(tyop_2Eextreal_2Eextreal,X75)))) ) ),
inference(assume_negation,[status(cth)],[thm_2Eextreal_2Emax__le]) ).
fof(c_0_11,negated_conjecture,
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_12,plain,
! [X11,X12] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X11),s(tyop_2Eextreal_2Eextreal,X12))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X11)))) ),
inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__total]) ).
cnf(c_0_13,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X8,X9] :
( ( ~ p(s(tyop_2Emin_2Ebool,X8))
| ~ p(s(tyop_2Emin_2Ebool,X9))
| s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X9) )
& ( p(s(tyop_2Emin_2Ebool,X8))
| p(s(tyop_2Emin_2Ebool,X9))
| s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext])])]) ).
cnf(c_0_16,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_17,plain,
! [X76,X77,X78,X76,X77,X78] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X76),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X77),s(tyop_2Eextreal_2Eextreal,X78))))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X76),s(tyop_2Eextreal_2Eextreal,X77))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X76),s(tyop_2Eextreal_2Eextreal,X78)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X76),s(tyop_2Eextreal_2Eextreal,X77))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X76),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X77),s(tyop_2Eextreal_2Eextreal,X78)))))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X76),s(tyop_2Eextreal_2Eextreal,X78))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X76),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X77),s(tyop_2Eextreal_2Eextreal,X78)))))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__max])])])])]) ).
cnf(c_0_18,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_21,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X3),s(tyop_2Eextreal_2Eextreal,X2)))))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X11,X12,X11,X12] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X11),s(tyop_2Eextreal_2Eextreal,X12))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X11))))
| s(tyop_2Eextreal_2Eextreal,X11) = s(tyop_2Eextreal_2Eextreal,X12) )
& ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X11),s(tyop_2Eextreal_2Eextreal,X12))))
| s(tyop_2Eextreal_2Eextreal,X11) != s(tyop_2Eextreal_2Eextreal,X12) )
& ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X11))))
| s(tyop_2Eextreal_2Eextreal,X11) != s(tyop_2Eextreal_2Eextreal,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__antisym])])])])]) ).
cnf(c_0_23,negated_conjecture,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_14]),c_0_21]) ).
cnf(c_0_25,plain,
( s(tyop_2Eextreal_2Eextreal,X1) = s(tyop_2Eextreal_2Eextreal,X2)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_29,plain,
! [X11,X12] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X11),s(tyop_2Eextreal_2Eextreal,X12)))))),
inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__max2]) ).
cnf(c_0_30,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))))) ),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_31,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))))),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_26]),c_0_24]),c_0_27]),c_0_28]) ).
fof(c_0_32,plain,
! [X47,X48,X49] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X47),s(tyop_2Eextreal_2Eextreal,X48))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X48),s(tyop_2Eextreal_2Eextreal,X49))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X47),s(tyop_2Eextreal_2Eextreal,X49)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__trans])]) ).
cnf(c_0_33,negated_conjecture,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
fof(c_0_34,plain,
! [X11,X12] : s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X11),s(tyop_2Eextreal_2Eextreal,X12))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X11),s(tyop_2Eextreal_2Eextreal,X12))),s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X11))),
inference(variable_rename,[status(thm)],[thm_2Eextreal_2Eextreal__max__def]) ).
fof(c_0_35,plain,
! [X10] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X10)))),
inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__refl]) ).
cnf(c_0_36,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,plain,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_39,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X3),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_41,plain,
s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X1)))),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_43,plain,
! [X11,X12] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X11),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X11),s(tyop_2Eextreal_2Eextreal,X12)))))),
inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__max1]) ).
cnf(c_0_44,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))))) ),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_45,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_24]) ).
cnf(c_0_47,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_48,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(spm,[status(thm)],[c_0_21,c_0_42]) ).
cnf(c_0_49,plain,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))))),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_31])]) ).
cnf(c_0_51,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_45]) ).
cnf(c_0_52,plain,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Eextreal_2Eextreal,X2)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_53,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_54,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_51]),c_0_24]) ).
cnf(c_0_56,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_45])]),c_0_54])]) ).
cnf(c_0_58,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_59,plain,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Eextreal_2Eextreal,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X1)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_58,c_0_48]) ).
cnf(c_0_61,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Eextreal_2Eextreal,esk2_0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,esk2_0) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_61]),c_0_54])]) ).
cnf(c_0_64,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,X1)))))),
inference(spm,[status(thm)],[c_0_27,c_0_45]) ).
cnf(c_0_65,negated_conjecture,
s(tyop_2Eextreal_2Eextreal,esk2_0) = s(tyop_2Eextreal_2Eextreal,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_66,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,X1))) = s(tyop_2Eextreal_2Eextreal,esk3_0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,X1))),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))),
inference(rw,[status(thm)],[c_0_57,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Eextreal_2Eextreal,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_48]),c_0_67]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP021+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 2 17:31:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.60/6.77 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 3.60/6.77 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 3.60/6.77 # Preprocessing time : 1.937 s
% 3.60/6.77
% 3.60/6.77 # Proof found!
% 3.60/6.77 # SZS status Theorem
% 3.60/6.77 # SZS output start CNFRefutation
% See solution above
% 3.60/6.77 # Proof object total steps : 70
% 3.60/6.77 # Proof object clause steps : 49
% 3.60/6.77 # Proof object formula steps : 21
% 3.60/6.77 # Proof object conjectures : 38
% 3.60/6.77 # Proof object clause conjectures : 35
% 3.60/6.77 # Proof object formula conjectures : 3
% 3.60/6.77 # Proof object initial clauses used : 14
% 3.60/6.77 # Proof object initial formulas used : 10
% 3.60/6.77 # Proof object generating inferences : 29
% 3.60/6.77 # Proof object simplifying inferences : 25
% 3.60/6.77 # Training examples: 0 positive, 0 negative
% 3.60/6.77 # Parsed axioms : 25709
% 3.60/6.77 # Removed by relevancy pruning/SinE : 25208
% 3.60/6.77 # Initial clauses : 1491
% 3.60/6.77 # Removed in clause preprocessing : 839
% 3.60/6.77 # Initial clauses in saturation : 652
% 3.60/6.77 # Processed clauses : 1264
% 3.60/6.77 # ...of these trivial : 1
% 3.60/6.77 # ...subsumed : 742
% 3.60/6.77 # ...remaining for further processing : 521
% 3.60/6.77 # Other redundant clauses eliminated : 0
% 3.60/6.77 # Clauses deleted for lack of memory : 0
% 3.60/6.77 # Backward-subsumed : 16
% 3.60/6.77 # Backward-rewritten : 96
% 3.60/6.77 # Generated clauses : 45566
% 3.60/6.77 # ...of the previous two non-trivial : 41008
% 3.60/6.77 # Contextual simplify-reflections : 131
% 3.60/6.77 # Paramodulations : 45366
% 3.60/6.77 # Factorizations : 54
% 3.60/6.77 # Equation resolutions : 146
% 3.60/6.77 # Current number of processed clauses : 409
% 3.60/6.77 # Positive orientable unit clauses : 23
% 3.60/6.77 # Positive unorientable unit clauses: 2
% 3.60/6.77 # Negative unit clauses : 4
% 3.60/6.77 # Non-unit-clauses : 380
% 3.60/6.77 # Current number of unprocessed clauses: 32190
% 3.60/6.77 # ...number of literals in the above : 144436
% 3.60/6.77 # Current number of archived formulas : 0
% 3.60/6.77 # Current number of archived clauses : 112
% 3.60/6.77 # Clause-clause subsumption calls (NU) : 58942
% 3.60/6.77 # Rec. Clause-clause subsumption calls : 36504
% 3.60/6.77 # Non-unit clause-clause subsumptions : 859
% 3.60/6.77 # Unit Clause-clause subsumption calls : 237
% 3.60/6.77 # Rewrite failures with RHS unbound : 0
% 3.60/6.77 # BW rewrite match attempts : 2446
% 3.60/6.77 # BW rewrite match successes : 9
% 3.60/6.77 # Condensation attempts : 0
% 3.60/6.77 # Condensation successes : 0
% 3.60/6.77 # Termbank termtop insertions : 3677129
% 3.60/6.77
% 3.60/6.77 # -------------------------------------------------
% 3.60/6.77 # User time : 2.631 s
% 3.60/6.77 # System time : 0.064 s
% 3.60/6.77 # Total time : 2.695 s
% 3.60/6.77 # Maximum resident set size: 112412 pages
% 3.60/26.76 eprover: CPU time limit exceeded, terminating
% 3.60/26.76 eprover: CPU time limit exceeded, terminating
% 3.60/26.76 eprover: CPU time limit exceeded, terminating
% 3.60/26.78 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.78 eprover: No such file or directory
% 3.60/26.79 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.79 eprover: No such file or directory
% 3.60/26.80 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.80 eprover: No such file or directory
% 3.60/26.80 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.80 eprover: No such file or directory
% 3.60/26.81 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.81 eprover: No such file or directory
% 3.60/26.81 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.81 eprover: No such file or directory
% 3.60/26.82 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.82 eprover: No such file or directory
% 3.60/26.82 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.82 eprover: No such file or directory
% 3.60/26.82 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.82 eprover: No such file or directory
% 3.60/26.82 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.82 eprover: No such file or directory
% 3.60/26.82 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.82 eprover: No such file or directory
% 3.60/26.82 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.82 eprover: No such file or directory
% 3.60/26.83 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.83 eprover: No such file or directory
% 3.60/26.83 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.83 eprover: No such file or directory
% 3.60/26.83 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.83 eprover: No such file or directory
% 3.60/26.83 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.83 eprover: No such file or directory
% 3.60/26.83 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.83 eprover: No such file or directory
% 3.60/26.83 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.83 eprover: No such file or directory
% 3.60/26.84 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.84 eprover: No such file or directory
% 3.60/26.84 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.84 eprover: No such file or directory
% 3.60/26.84 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.84 eprover: No such file or directory
% 3.60/26.84 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.84 eprover: No such file or directory
% 3.60/26.84 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.84 eprover: No such file or directory
% 3.60/26.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.85 eprover: No such file or directory
% 3.60/26.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.85 eprover: No such file or directory
% 3.60/26.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.85 eprover: No such file or directory
% 3.60/26.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.85 eprover: No such file or directory
% 3.60/26.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.85 eprover: No such file or directory
% 3.60/26.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.85 eprover: No such file or directory
% 3.60/26.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.86 eprover: No such file or directory
% 3.60/26.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.86 eprover: No such file or directory
% 3.60/26.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.60/26.86 eprover: No such file or directory
% 3.60/26.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.60/26.86 eprover: No such file or directory
%------------------------------------------------------------------------------