TSTP Solution File: ITP021+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP021+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4lap9Smyao true
% Computer : n023.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 Aug 31 05:21:31 EDT 2023
% Result : Theorem 12.84s 2.43s
% Output : Refutation 12.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 28
% Syntax : Number of formulae : 135 ( 50 unt; 15 typ; 0 def)
% Number of atoms : 315 ( 61 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1398 ( 140 ~; 166 |; 4 &;1063 @)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 92 ( 0 ^; 92 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $i ).
thf(c_2Eextreal_2Eextreal__le_type,type,
c_2Eextreal_2Eextreal__le: $i ).
thf(mem_type,type,
mem: $i > $i > $o ).
thf(c_2Ebool_2EF_type,type,
c_2Ebool_2EF: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(ne_type,type,
ne: $i > $o ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(c_2Ebool_2ET_type,type,
c_2Ebool_2ET: $i ).
thf(ty_2Eextreal_2Eextreal_type,type,
ty_2Eextreal_2Eextreal: $i ).
thf(c_2Eextreal_2Eextreal__max_type,type,
c_2Eextreal_2Eextreal__max: $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(c_2Ebool_2ECOND_type,type,
c_2Ebool_2ECOND: $i > $i ).
thf(arr_type,type,
arr: $i > $i > $i ).
thf(mem_c_2Eextreal_2Eextreal__le,axiom,
mem @ c_2Eextreal_2Eextreal__le @ ( arr @ ty_2Eextreal_2Eextreal @ ( arr @ ty_2Eextreal_2Eextreal @ bool ) ) ).
thf(zip_derived_cl13,plain,
mem @ c_2Eextreal_2Eextreal__le @ ( arr @ ty_2Eextreal_2Eextreal @ ( arr @ ty_2Eextreal_2Eextreal @ bool ) ),
inference(cnf,[status(esa)],[mem_c_2Eextreal_2Eextreal__le]) ).
thf(ap_tp,axiom,
! [A: $i,B: $i,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl1965,plain,
! [X0: $i] :
( ( mem @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ ( arr @ ty_2Eextreal_2Eextreal @ bool ) )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl1975,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( mem @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ X1 ) @ bool )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl1965,zip_derived_cl3]) ).
thf(mem_c_2Ebool_2ET,axiom,
mem @ c_2Ebool_2ET @ bool ).
thf(zip_derived_cl10,plain,
mem @ c_2Ebool_2ET @ bool,
inference(cnf,[status(esa)],[mem_c_2Ebool_2ET]) ).
thf(boolext,axiom,
! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( ( p @ Q )
<=> ( p @ R ) )
=> ( Q = R ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ bool )
| ( X1 = X0 )
| ~ ( p @ X1 )
| ~ ( p @ X0 )
| ~ ( mem @ X1 @ bool ) ),
inference(cnf,[status(esa)],[boolext]) ).
thf(zip_derived_cl1951,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ bool )
| ~ ( p @ c_2Ebool_2ET )
| ~ ( p @ X0 )
| ( X0 = c_2Ebool_2ET ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl4]) ).
thf(ax_true_p,axiom,
p @ c_2Ebool_2ET ).
thf(zip_derived_cl11,plain,
p @ c_2Ebool_2ET,
inference(cnf,[status(esa)],[ax_true_p]) ).
thf(zip_derived_cl1955,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ bool )
| ~ ( p @ X0 )
| ( X0 = c_2Ebool_2ET ) ),
inference(demod,[status(thm)],[zip_derived_cl1951,zip_derived_cl11]) ).
thf(zip_derived_cl2209,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1975,zip_derived_cl1955]) ).
thf(conj_thm_2Eextreal_2Emax__le,conjecture,
! [V0z: $i] :
( ( mem @ V0z @ ty_2Eextreal_2Eextreal )
=> ! [V1x: $i] :
( ( mem @ V1x @ ty_2Eextreal_2Eextreal )
=> ! [V2y: $i] :
( ( mem @ V2y @ ty_2Eextreal_2Eextreal )
=> ( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ V1x ) @ V2y ) ) @ V0z ) )
<=> ( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V1x ) @ V0z ) )
& ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V2y ) @ V0z ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V0z: $i] :
( ( mem @ V0z @ ty_2Eextreal_2Eextreal )
=> ! [V1x: $i] :
( ( mem @ V1x @ ty_2Eextreal_2Eextreal )
=> ! [V2y: $i] :
( ( mem @ V2y @ ty_2Eextreal_2Eextreal )
=> ( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ V1x ) @ V2y ) ) @ V0z ) )
<=> ( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V1x ) @ V0z ) )
& ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V2y ) @ V0z ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Eextreal_2Emax__le]) ).
thf(zip_derived_cl200,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_thm_2Eextreal_2Ele__total,axiom,
! [V0x: $i] :
( ( mem @ V0x @ ty_2Eextreal_2Eextreal )
=> ! [V1y: $i] :
( ( mem @ V1y @ ty_2Eextreal_2Eextreal )
=> ( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V0x ) @ V1y ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V1y ) @ V0x ) ) ) ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ X1 ) )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal ) ),
inference(cnf,[status(esa)],[conj_thm_2Eextreal_2Ele__total]) ).
thf(zip_derived_cl2228,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ X0 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl73]) ).
thf(zip_derived_cl2267,plain,
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__3 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl2228]) ).
thf(conj_thm_2Eextreal_2Ele__trans,axiom,
! [V0x: $i] :
( ( mem @ V0x @ ty_2Eextreal_2Eextreal )
=> ! [V1y: $i] :
( ( mem @ V1y @ ty_2Eextreal_2Eextreal )
=> ! [V2z: $i] :
( ( mem @ V2z @ ty_2Eextreal_2Eextreal )
=> ( ( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V0x ) @ V1y ) )
& ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V1y ) @ V2z ) ) )
=> ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V0x ) @ V2z ) ) ) ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ X2 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X2 ) )
| ~ ( mem @ X2 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal ) ),
inference(cnf,[status(esa)],[conj_thm_2Eextreal_2Ele__trans]) ).
thf(zip_derived_cl2331,plain,
! [X0: $i] :
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 ) )
| ~ ( mem @ sk__4 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ X0 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ X0 ) )
| ~ ( mem @ sk__3 @ ty_2Eextreal_2Eextreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl2267,zip_derived_cl72]) ).
thf(zip_derived_cl200_002,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204_003,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2335,plain,
! [X0: $i] :
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 ) )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ X0 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2331,zip_derived_cl200,zip_derived_cl204]) ).
thf(zip_derived_cl2209_004,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1975,zip_derived_cl1955]) ).
thf(zip_derived_cl1975_005,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( mem @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ X1 ) @ bool )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl1965,zip_derived_cl3]) ).
thf(mem_c_2Ebool_2EF,axiom,
mem @ c_2Ebool_2EF @ bool ).
thf(zip_derived_cl16,plain,
mem @ c_2Ebool_2EF @ bool,
inference(cnf,[status(esa)],[mem_c_2Ebool_2EF]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ bool )
| ( X1 = X0 )
| ( p @ X1 )
| ( p @ X0 )
| ~ ( mem @ X1 @ bool ) ),
inference(cnf,[status(esa)],[boolext]) ).
thf(zip_derived_cl1982,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ bool )
| ( p @ c_2Ebool_2EF )
| ( p @ X0 )
| ( X0 = c_2Ebool_2EF ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl5]) ).
thf(ax_false_p,axiom,
~ ( p @ c_2Ebool_2EF ) ).
thf(zip_derived_cl17,plain,
~ ( p @ c_2Ebool_2EF ),
inference(cnf,[status(esa)],[ax_false_p]) ).
thf(zip_derived_cl1986,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ bool )
| ( p @ X0 )
| ( X0 = c_2Ebool_2EF ) ),
inference(demod,[status(thm)],[zip_derived_cl1982,zip_derived_cl17]) ).
thf(zip_derived_cl2210,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2EF )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1975,zip_derived_cl1986]) ).
thf(zip_derived_cl2513,plain,
! [X0: $i,X1: $i] :
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2EF )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl2209,zip_derived_cl2210]) ).
thf(zip_derived_cl2523,plain,
! [X0: $i,X1: $i] :
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2EF )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET ) ),
inference(simplify,[status(thm)],[zip_derived_cl2513]) ).
thf(ax_thm_2Eextreal_2Eextreal__max__def,axiom,
! [V0x: $i] :
( ( mem @ V0x @ ty_2Eextreal_2Eextreal )
=> ! [V1y: $i] :
( ( mem @ V1y @ ty_2Eextreal_2Eextreal )
=> ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ V0x ) @ V1y )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal ) @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ V0x ) @ V1y ) ) @ V1y ) @ V0x ) ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ X1 ) @ X0 )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal ) @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) ) @ X0 ) @ X1 ) )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal ) ),
inference(cnf,[status(esa)],[ax_thm_2Eextreal_2Eextreal__max__def]) ).
thf(zip_derived_cl2545,plain,
! [X0: $i,X1: $i] :
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ X0 ) @ X1 )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal ) @ c_2Ebool_2EF ) @ X1 ) @ X0 ) )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ X1 )
= c_2Ebool_2ET )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl2523,zip_derived_cl74]) ).
thf(zip_derived_cl2569,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ X1 )
= c_2Ebool_2ET )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ X0 ) @ X1 )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal ) @ c_2Ebool_2EF ) @ X1 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2545]) ).
thf(conj_thm_2Ebool_2ECOND__CLAUSES,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0t1: $i] :
( ( mem @ V0t1 @ A_27a )
=> ! [V1t2: $i] :
( ( mem @ V1t2 @ A_27a )
=> ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2ET ) @ V0t1 ) @ V1t2 )
= V0t1 )
& ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2EF ) @ V0t1 ) @ V1t2 )
= V1t2 ) ) ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mem @ X0 @ X1 )
| ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X1 ) @ c_2Ebool_2EF ) @ X0 ) @ X2 )
= X2 )
| ~ ( mem @ X2 @ X1 )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[conj_thm_2Ebool_2ECOND__CLAUSES]) ).
thf(zip_derived_cl13013,plain,
! [X0: $i,X1: $i] :
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ X1 ) @ X0 )
= X1 )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( ne @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl2569,zip_derived_cl57]) ).
thf(ne_ty_2Eextreal_2Eextreal,axiom,
ne @ ty_2Eextreal_2Eextreal ).
thf(zip_derived_cl12,plain,
ne @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[ne_ty_2Eextreal_2Eextreal]) ).
thf(zip_derived_cl13019,plain,
! [X0: $i,X1: $i] :
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ X1 ) @ X0 )
= X1 )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal ) ),
inference(demod,[status(thm)],[zip_derived_cl13013,zip_derived_cl12]) ).
thf(zip_derived_cl13020,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ X1 ) @ X0 )
= X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13019]) ).
thf(zip_derived_cl201,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 ) ) @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13649,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ~ ( mem @ sk__3 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ sk__4 @ ty_2Eextreal_2Eextreal )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13020,zip_derived_cl201]) ).
thf(zip_derived_cl204_006,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_007,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13677,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13649,zip_derived_cl204,zip_derived_cl200]) ).
thf(zip_derived_cl13678,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13677]) ).
thf(zip_derived_cl13020_008,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ X1 ) @ X0 )
= X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13019]) ).
thf(zip_derived_cl202,plain,
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 ) ) @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13650,plain,
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ~ ( mem @ sk__3 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ sk__4 @ ty_2Eextreal_2Eextreal )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13020,zip_derived_cl202]) ).
thf(zip_derived_cl204_009,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_010,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13679,plain,
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13650,zip_derived_cl204,zip_derived_cl200]) ).
thf(zip_derived_cl13680,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13679]) ).
thf(zip_derived_cl13737,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl13678,zip_derived_cl13680]) ).
thf(zip_derived_cl13746,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ~ ( mem @ sk__2 @ ty_2Eextreal_2Eextreal )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 ) )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET ) ),
inference('sup-',[status(thm)],[zip_derived_cl2335,zip_derived_cl13737]) ).
thf(zip_derived_cl199,plain,
mem @ sk__2 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13763,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 ) )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET ) ),
inference(demod,[status(thm)],[zip_derived_cl13746,zip_derived_cl199]) ).
thf(zip_derived_cl13680_011,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13679]) ).
thf(zip_derived_cl14506,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl13763,zip_derived_cl13680]) ).
thf(zip_derived_cl14517,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ~ ( mem @ sk__3 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ sk__4 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET ) ),
inference('sup+',[status(thm)],[zip_derived_cl2209,zip_derived_cl14506]) ).
thf(zip_derived_cl204_012,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_013,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14526,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET ) ),
inference(demod,[status(thm)],[zip_derived_cl14517,zip_derived_cl204,zip_derived_cl200]) ).
thf(zip_derived_cl14527,plain,
( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET ),
inference(simplify,[status(thm)],[zip_derived_cl14526]) ).
thf(zip_derived_cl72_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X0 ) @ X2 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X2 ) )
| ~ ( mem @ X2 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal ) ),
inference(cnf,[status(esa)],[conj_thm_2Eextreal_2Ele__trans]) ).
thf(zip_derived_cl14573,plain,
! [X0: $i] :
( ~ ( p @ c_2Ebool_2ET )
| ~ ( mem @ sk__3 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ X0 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ X0 ) )
| ~ ( mem @ sk__4 @ ty_2Eextreal_2Eextreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl14527,zip_derived_cl72]) ).
thf(zip_derived_cl11_015,plain,
p @ c_2Ebool_2ET,
inference(cnf,[status(esa)],[ax_true_p]) ).
thf(zip_derived_cl204_016,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_017,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14591,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ X0 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14573,zip_derived_cl11,zip_derived_cl204,zip_derived_cl200]) ).
thf(zip_derived_cl203,plain,
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 ) ) @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14527_018,plain,
( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__4 )
= c_2Ebool_2ET ),
inference(simplify,[status(thm)],[zip_derived_cl14526]) ).
thf(zip_derived_cl74_019,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ X1 ) @ X0 )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal ) @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) ) @ X0 ) @ X1 ) )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal ) ),
inference(cnf,[status(esa)],[ax_thm_2Eextreal_2Eextreal__max__def]) ).
thf(zip_derived_cl14574,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal ) @ c_2Ebool_2ET ) @ sk__4 ) @ sk__3 ) )
| ~ ( mem @ sk__3 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ sk__4 @ ty_2Eextreal_2Eextreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl14527,zip_derived_cl74]) ).
thf(zip_derived_cl204_020,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_021,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14592,plain,
( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal ) @ c_2Ebool_2ET ) @ sk__4 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl14574,zip_derived_cl204,zip_derived_cl200]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mem @ X0 @ X1 )
| ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X1 ) @ c_2Ebool_2ET ) @ X0 ) @ X2 )
= X0 )
| ~ ( mem @ X2 @ X1 )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[conj_thm_2Ebool_2ECOND__CLAUSES]) ).
thf(zip_derived_cl15313,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 )
= sk__4 )
| ~ ( ne @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ sk__3 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ sk__4 @ ty_2Eextreal_2Eextreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl14592,zip_derived_cl58]) ).
thf(zip_derived_cl12_022,plain,
ne @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[ne_ty_2Eextreal_2Eextreal]) ).
thf(zip_derived_cl204_023,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_024,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15314,plain,
( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 )
= sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl15313,zip_derived_cl12,zip_derived_cl204,zip_derived_cl200]) ).
thf(zip_derived_cl15318,plain,
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl15314]) ).
thf(zip_derived_cl15319,plain,
p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl15318]) ).
thf(zip_derived_cl15350,plain,
( ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ~ ( mem @ sk__2 @ ty_2Eextreal_2Eextreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl14591,zip_derived_cl15319]) ).
thf(zip_derived_cl199_025,plain,
mem @ sk__2 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15362,plain,
p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl15350,zip_derived_cl199]) ).
thf(zip_derived_cl2210_026,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2EF )
| ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1975,zip_derived_cl1986]) ).
thf(zip_derived_cl201_027,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 ) ) @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15314_028,plain,
( ( ap @ ( ap @ c_2Eextreal_2Eextreal__max @ sk__3 ) @ sk__4 )
= sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl15313,zip_derived_cl12,zip_derived_cl204,zip_derived_cl200]) ).
thf(zip_derived_cl15315,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl15314]) ).
thf(zip_derived_cl15316,plain,
( ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl15315]) ).
thf(zip_derived_cl2209_029,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ X1 @ ty_2Eextreal_2Eextreal )
| ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1975,zip_derived_cl1955]) ).
thf(zip_derived_cl15319_030,plain,
p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl15318]) ).
thf(zip_derived_cl15349,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 )
= c_2Ebool_2ET )
| ~ ( mem @ sk__4 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ sk__2 @ ty_2Eextreal_2Eextreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl2209,zip_derived_cl15319]) ).
thf(zip_derived_cl200_031,plain,
mem @ sk__4 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_032,plain,
mem @ sk__2 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15361,plain,
( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__4 ) @ sk__2 )
= c_2Ebool_2ET ),
inference(demod,[status(thm)],[zip_derived_cl15349,zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl11_033,plain,
p @ c_2Ebool_2ET,
inference(cnf,[status(esa)],[ax_true_p]) ).
thf(zip_derived_cl15492,plain,
~ ( p @ ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl15316,zip_derived_cl15361,zip_derived_cl11]) ).
thf(zip_derived_cl15498,plain,
( ( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 )
= c_2Ebool_2EF )
| ~ ( mem @ sk__3 @ ty_2Eextreal_2Eextreal )
| ~ ( mem @ sk__2 @ ty_2Eextreal_2Eextreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl2210,zip_derived_cl15492]) ).
thf(zip_derived_cl204_034,plain,
mem @ sk__3 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_035,plain,
mem @ sk__2 @ ty_2Eextreal_2Eextreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15511,plain,
( ( ap @ ( ap @ c_2Eextreal_2Eextreal__le @ sk__3 ) @ sk__2 )
= c_2Ebool_2EF ),
inference(demod,[status(thm)],[zip_derived_cl15498,zip_derived_cl204,zip_derived_cl199]) ).
thf(zip_derived_cl17_036,plain,
~ ( p @ c_2Ebool_2EF ),
inference(cnf,[status(esa)],[ax_false_p]) ).
thf(zip_derived_cl15590,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15362,zip_derived_cl15511,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP021+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4lap9Smyao true
% 0.14/0.35 % Computer : n023.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
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 16:26:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.84/2.43 % Solved by fo/fo3_bce.sh.
% 12.84/2.43 % BCE start: 205
% 12.84/2.43 % BCE eliminated: 3
% 12.84/2.43 % PE start: 202
% 12.84/2.43 logic: eq
% 12.84/2.43 % PE eliminated: 120
% 12.84/2.43 % done 1738 iterations in 1.646s
% 12.84/2.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.84/2.43 % SZS output start Refutation
% See solution above
% 12.84/2.43
% 12.84/2.43
% 12.84/2.43 % Terminating...
% 12.84/2.48 % Runner terminated.
% 12.84/2.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------