%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP021^4 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o0U3hehT1U true
% Computer : n024.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 : Thu Oct 2 04:38:31 PM UTC 2025
% Result : Theorem 68.86s 9.34s
% Output : Refutation 68.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 87 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 172 ( 35 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 514 ( 55 ~; 76 |; 4 &; 374 @)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 100 ( 0 ^; 100 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Eextreal_2Eextreal_type,type,
mono_2Etyop_2Eextreal_2Eextreal: $tType ).
thf(sk__1_type,type,
sk__1: mono_2Etyop_2Eextreal_2Eextreal ).
thf(mono_2Ec_2Eextreal_2Eextreal__le_type,type,
mono_2Ec_2Eextreal_2Eextreal__le: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(sk__2_type,type,
sk__2: mono_2Etyop_2Eextreal_2Eextreal ).
thf(sk__type,type,
sk_: mono_2Etyop_2Eextreal_2Eextreal ).
thf(mono_2Ec_2Eextreal_2Eextreal__max_type,type,
mono_2Ec_2Eextreal_2Eextreal__max: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(thm_2Eextreal_2Emax__le,conjecture,
! [V0z: mono_2Etyop_2Eextreal_2Eextreal,V1x: mono_2Etyop_2Eextreal_2Eextreal,V2y: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ V1x @ V2y ) @ V0z )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V1x @ V0z )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ V2y @ V0z ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V0z: mono_2Etyop_2Eextreal_2Eextreal,V1x: mono_2Etyop_2Eextreal_2Eextreal,V2y: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ V1x @ V2y ) @ V0z )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V1x @ V0z )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ V2y @ V0z ) ) ),
inference('cnf.neg',[status(esa)],[thm_2Eextreal_2Emax__le]) ).
thf(zip_derived_cl29,plain,
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ sk_ )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk_ )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk_ )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(thm_2Eextreal_2Ele__max1,axiom,
! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ ( mono_2Ec_2Eextreal_2Eextreal__max @ V0x @ V1y ) ) ).
thf(zip_derived_cl25,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__max1]) ).
thf(thm_2Eextreal_2Ele__trans,axiom,
! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal,V2z: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ V2z ) )
=> ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V2z ) ) ).
thf(zip_derived_cl16,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__trans]) ).
thf(zip_derived_cl42,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl16]) ).
thf(zip_derived_cl63,plain,
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk_ )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl42]) ).
thf(zip_derived_cl76,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl94,plain,
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ sk_ )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl76]) ).
thf(zip_derived_cl28,plain,
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ sk_ )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(thm_2Eextreal_2Ele__max2,axiom,
! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ ( mono_2Ec_2Eextreal_2Eextreal__max @ V0x @ V1y ) ) ).
thf(zip_derived_cl26,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__max2]) ).
thf(zip_derived_cl16_001,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__trans]) ).
thf(zip_derived_cl44,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl16]) ).
thf(zip_derived_cl103,plain,
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ sk_ )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl44]) ).
thf(zip_derived_cl115,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl117,plain,
~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl115]) ).
thf(thm_2Eextreal_2Ele__antisym,axiom,
! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ V0x ) )
<=> ( V0x = V1y ) ) ).
thf(zip_derived_cl17,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( X1 = X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__antisym]) ).
thf(zip_derived_cl115_002,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl138,plain,
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__2 )
| ( sk__2 = sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl115]) ).
thf(thm_2Eextreal_2Ele__max,axiom,
! [V0z: mono_2Etyop_2Eextreal_2Eextreal,V1x: mono_2Etyop_2Eextreal_2Eextreal,V2y: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ V0z @ ( mono_2Ec_2Eextreal_2Eextreal__max @ V1x @ V2y ) )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V0z @ V1x )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ V0z @ V2y ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__max]) ).
thf(zip_derived_cl17_003,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( X1 = X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__antisym]) ).
thf(zip_derived_cl269,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X2 )
| ( X2
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl17]) ).
thf(thm_2Eextreal_2Ele__refl,axiom,
! [V0x: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V0x ) ).
thf(zip_derived_cl15,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__refl]) ).
thf(zip_derived_cl22,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__max]) ).
thf(zip_derived_cl222,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).
thf(thm_2Eextreal_2Ele__total,axiom,
! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ V0x )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y ) ) ).
thf(zip_derived_cl20,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__total]) ).
thf(zip_derived_cl117_004,plain,
~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl115]) ).
thf(zip_derived_cl122,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl117]) ).
thf(zip_derived_cl16_005,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__trans]) ).
thf(zip_derived_cl134,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl16]) ).
thf(zip_derived_cl6675,plain,
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ sk__1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl7510,plain,
( ( sk__1
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk__1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl269,zip_derived_cl6675]) ).
thf(zip_derived_cl15_006,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__refl]) ).
thf(zip_derived_cl7514,plain,
( ( sk__1
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl7510,zip_derived_cl15]) ).
thf(zip_derived_cl117_007,plain,
~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl115]) ).
thf(zip_derived_cl7533,plain,
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk_ )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7514,zip_derived_cl117]) ).
thf(zip_derived_cl76_008,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl7674,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl7533,zip_derived_cl76]) ).
thf(zip_derived_cl7696,plain,
sk__2 = sk_,
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl7674]) ).
thf(zip_derived_cl7735,plain,
~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk_ ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl7696]) ).
thf(zip_derived_cl222_009,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).
thf(zip_derived_cl122_010,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl117]) ).
thf(zip_derived_cl22_011,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__max]) ).
thf(zip_derived_cl218,plain,
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl22]) ).
thf(zip_derived_cl138_012,plain,
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__2 )
| ( sk__2 = sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl115]) ).
thf(zip_derived_cl232,plain,
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__1 )
| ( sk__2 = sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl138]) ).
thf(zip_derived_cl17_013,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( X1 = X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__antisym]) ).
thf(zip_derived_cl76_014,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl140,plain,
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__1 )
| ( sk__1 = sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl76]) ).
thf(zip_derived_cl240,plain,
( ( sk__2 = sk_ )
| ( sk__1 = sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl140]) ).
thf(zip_derived_cl17_015,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( X1 = X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__antisym]) ).
thf(zip_derived_cl115_016,plain,
mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl16_017,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__trans]) ).
thf(zip_derived_cl118,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk__2 @ X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl16]) ).
thf(zip_derived_cl139,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sk__2 )
| ( sk__2 = X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl118]) ).
thf(zip_derived_cl290,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sk_ )
| ( sk__1 = sk_ )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ X0 )
| ( sk__2 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl139]) ).
thf(zip_derived_cl6736,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sk_ ) @ X0 )
| ( sk__2
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sk_ ) )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sk_ ) )
| ( sk__1 = sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl290]) ).
thf(zip_derived_cl26_018,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__max2]) ).
thf(zip_derived_cl6995,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sk_ ) @ X0 )
| ( sk__2
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sk_ ) )
| ( sk__1 = sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl6736,zip_derived_cl26]) ).
thf(zip_derived_cl7696_019,plain,
sk__2 = sk_,
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl7674]) ).
thf(zip_derived_cl12197,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sk_ ) @ X0 )
| ( sk_
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sk_ ) )
| ( sk__1 = sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl6995,zip_derived_cl7696]) ).
thf(zip_derived_cl44_020,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl16]) ).
thf(zip_derived_cl12236,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( sk__1 = sk_ )
| ( sk_
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sk_ ) )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12197,zip_derived_cl44]) ).
thf(zip_derived_cl7735_021,plain,
~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sk__1 @ sk_ ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl7696]) ).
thf(zip_derived_cl12358,plain,
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk_ )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__1 )
| ( sk__1 = sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl12236,zip_derived_cl7735]) ).
thf(zip_derived_cl15_022,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__refl]) ).
thf(zip_derived_cl12538,plain,
( ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__1 )
| ( sk__1 = sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl12358,zip_derived_cl15]) ).
thf(zip_derived_cl140_023,plain,
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ sk_ @ sk__1 )
| ( sk__1 = sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl76]) ).
thf(zip_derived_cl12578,plain,
sk__1 = sk_,
inference(clc,[status(thm)],[zip_derived_cl12538,zip_derived_cl140]) ).
thf(zip_derived_cl24,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__max]) ).
thf(zip_derived_cl17_024,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( X1 = X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__antisym]) ).
thf(zip_derived_cl358,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X2 )
| ( X2
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl17]) ).
thf(zip_derived_cl222_025,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X1 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).
thf(zip_derived_cl6831,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X0 ) @ X0 ),
inference(eq_fact,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl7106,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( X0
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X0 ) )
| ~ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl358,zip_derived_cl6831]) ).
thf(zip_derived_cl15_026,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__refl]) ).
thf(zip_derived_cl7184,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( X0
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7106,zip_derived_cl15]) ).
thf(zip_derived_cl15_027,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ),
inference(cnf,[status(esa)],[thm_2Eextreal_2Ele__refl]) ).
thf(zip_derived_cl12622,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7735,zip_derived_cl12578,zip_derived_cl7184,zip_derived_cl15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ITP021^4 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o0U3hehT1U true
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 15:31:11 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 68.86/9.34 % Solved by lams/40_c_ic.sh.
% 68.86/9.34 % done 1842 iterations in 8.544s
% 68.86/9.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 68.86/9.34 % SZS output start Refutation
% See solution above
% 68.86/9.34
% 68.86/9.34
% 68.86/9.34 % Terminating...
% 69.66/9.44 % Runner terminated.
% 69.66/9.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------