TSTP Solution File: ITP013+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP013+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rFrrcWx8Jv true
% Computer : n025.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 05:21:09 EDT 2023
% Result : Theorem 6.25s 2.02s
% Output : Refutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 35
% Syntax : Number of formulae : 132 ( 43 unt; 21 typ; 0 def)
% Number of atoms : 281 ( 33 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1940 ( 163 ~; 120 |; 2 &;1607 @)
% ( 1 <=>; 31 =>; 16 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 114 ( 0 ^; 114 !; 0 ?; 114 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_2Ebool_2ECOND_type,type,
c_2Ebool_2ECOND: $i > $i ).
thf(bool_type,type,
bool: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(c_2Ewords_2En2w_type,type,
c_2Ewords_2En2w: $i > $i ).
thf(mem_type,type,
mem: $i > $i > $o ).
thf(ty_2Efcp_2Ecart_type,type,
ty_2Efcp_2Ecart: $i > $i > $i ).
thf(ty_2Enum_2Enum_type,type,
ty_2Enum_2Enum: $i ).
thf(ne_type,type,
ne: $i > $o ).
thf(c_2Ebool_2ET_type,type,
c_2Ebool_2ET: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(c_2Earithmetic_2E_3C_3D_type,type,
c_2Earithmetic_2E_3C_3D: $i ).
thf(c_2Ewords_2Eword__sub_type,type,
c_2Ewords_2Eword__sub: $i > $i ).
thf(c_2Ewords_2Eword__2comp_type,type,
c_2Ewords_2Eword__2comp: $i > $i ).
thf(p_type,type,
p: $i > $o ).
thf(c_2Ebool_2EF_type,type,
c_2Ebool_2EF: $i ).
thf(c_2Ewords_2Eword__add_type,type,
c_2Ewords_2Eword__add: $i > $i ).
thf(c_2Earithmetic_2E_2D_type,type,
c_2Earithmetic_2E_2D: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(arr_type,type,
arr: $i > $i > $i ).
thf(c_2Earithmetic_2E_2B_type,type,
c_2Earithmetic_2E_2B: $i ).
thf(mem_c_2Earithmetic_2E_2D,axiom,
mem @ c_2Earithmetic_2E_2D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
thf(zip_derived_cl24,plain,
mem @ c_2Earithmetic_2E_2D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ),
inference(cnf,[status(esa)],[mem_c_2Earithmetic_2E_2D]) ).
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_cl90,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ c_2Earithmetic_2E_2D @ X0 ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,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_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Enum_2Enum )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X0 ) @ X1 ) @ ty_2Enum_2Enum ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl3]) ).
thf(mem_c_2Ewords_2En2w,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ewords_2En2w @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( mem @ ( c_2Ewords_2En2w @ X0 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) )
| ~ ( ne @ X0 ) ),
inference(cnf,[status(esa)],[mem_c_2Ewords_2En2w]) ).
thf(zip_derived_cl3_002,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_cl178,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl3]) ).
thf(ax_true_p,axiom,
p @ c_2Ebool_2ET ).
thf(zip_derived_cl20,plain,
p @ c_2Ebool_2ET,
inference(cnf,[status(esa)],[ax_true_p]) ).
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_cl99,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ bool )
| ( c_2Ebool_2ET = X0 )
| ~ ( p @ X0 )
| ~ ( mem @ c_2Ebool_2ET @ bool ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl4]) ).
thf(mem_c_2Ebool_2ET,axiom,
mem @ c_2Ebool_2ET @ bool ).
thf(zip_derived_cl19,plain,
mem @ c_2Ebool_2ET @ bool,
inference(cnf,[status(esa)],[mem_c_2Ebool_2ET]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ bool )
| ( c_2Ebool_2ET = X0 )
| ~ ( p @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl19]) ).
thf(conj_thm_2Ewords_2En2w__sub,conjecture,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0a: $i] :
( ( mem @ V0a @ ty_2Enum_2Enum )
=> ! [V1b: $i] :
( ( mem @ V1b @ ty_2Enum_2Enum )
=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V1b ) @ V0a ) )
=> ( ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V0a ) @ V1b ) )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V0a ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V1b ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0a: $i] :
( ( mem @ V0a @ ty_2Enum_2Enum )
=> ! [V1b: $i] :
( ( mem @ V1b @ ty_2Enum_2Enum )
=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V1b ) @ V0a ) )
=> ( ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V0a ) @ V1b ) )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V0a ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V1b ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Ewords_2En2w__sub]) ).
thf(zip_derived_cl79,plain,
p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl103,plain,
( ( c_2Ebool_2ET
= ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) )
| ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) @ bool ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl102,zip_derived_cl79]) ).
thf(zip_derived_cl110,plain,
( ( c_2Ebool_2ET
= ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) )
<= ( c_2Ebool_2ET
= ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl109,plain,
( ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) @ bool )
<= ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) @ bool ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(mem_c_2Earithmetic_2E_3C_3D,axiom,
mem @ c_2Earithmetic_2E_3C_3D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
thf(zip_derived_cl25,plain,
mem @ c_2Earithmetic_2E_3C_3D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ),
inference(cnf,[status(esa)],[mem_c_2Earithmetic_2E_3C_3D]) ).
thf(zip_derived_cl3_003,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_cl91,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ c_2Earithmetic_2E_3C_3D @ X0 ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl3]) ).
thf(zip_derived_cl3_004,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_cl96,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Enum_2Enum )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X0 ) @ X1 ) @ bool ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl3]) ).
thf(zip_derived_cl186,plain,
( ( ~ ( mem @ sk__4 @ ty_2Enum_2Enum )
| ~ ( mem @ sk__3 @ ty_2Enum_2Enum ) )
<= ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) @ bool ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl109,zip_derived_cl96]) ).
thf(zip_derived_cl77,plain,
mem @ sk__4 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
mem @ sk__3 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
mem @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) @ bool,
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl77,zip_derived_cl80]) ).
thf('1',plain,
( ( c_2Ebool_2ET
= ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) )
| ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) @ bool ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf('2',plain,
( c_2Ebool_2ET
= ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl191,plain,
( c_2Ebool_2ET
= ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ sk__4 ) @ sk__3 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl110,'2']) ).
thf(conj_thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ! [V0m: $i] :
( ( mem @ V0m @ ty_2Enum_2Enum )
=> ! [V1n: $i] :
( ( mem @ V1n @ ty_2Enum_2Enum )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V0m ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V1n ) ) )
= ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V0m ) @ V1n ) ) ) ) ) )
& ! [V2m: $i] :
( ( mem @ V2m @ ty_2Enum_2Enum )
=> ! [V3n: $i] :
( ( mem @ V3n @ ty_2Enum_2Enum )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ V2m ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ V3n ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V3n ) @ V2m ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2m ) @ V3n ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V3n ) @ V2m ) ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X2 ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X1 ) @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ X1 ) ) ) ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum )
| ~ ( ne @ X3 ) ),
inference(cnf,[status(esa)],[conj_thm_2Ewords_2EWORD__LITERAL__ADD]) ).
thf(zip_derived_cl82,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X2 ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X1 ) @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ X1 ) ) ) ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X2 ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X1 ) @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ X1 ) ) ) ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(bool_ne,axiom,
ne @ bool ).
thf(zip_derived_cl0,plain,
ne @ bool,
inference(cnf,[status(esa)],[bool_ne]) ).
thf(zip_derived_cl81,plain,
( ! [X3: $i] :
~ ( ne @ X3 )
<= ! [X3: $i] :
~ ( ne @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf('3',plain,
~ ! [X3: $i] :
~ ( ne @ X3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl81]) ).
thf('4',plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X2 ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X1 ) @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ X1 ) ) ) ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) )
| ! [X3: $i] :
~ ( ne @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf('5',plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X2 ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X1 ) @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ X1 ) ) ) ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference('sat_resolution*',[status(thm)],['3','4']) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X2 ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ X1 ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X1 ) @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ X1 ) ) ) ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl82,'5']) ).
thf(zip_derived_cl555,plain,
! [X0: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ sk__3 @ ty_2Enum_2Enum )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__3 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__4 ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ c_2Ebool_2ET ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) ) )
| ~ ( mem @ sk__4 @ ty_2Enum_2Enum ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl87]) ).
thf(zip_derived_cl80_005,plain,
mem @ sk__3 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_006,plain,
mem @ sk__4 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl557,plain,
! [X0: $i] :
( ~ ( ne @ X0 )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__3 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__4 ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ c_2Ebool_2ET ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl555,zip_derived_cl80,zip_derived_cl77]) ).
thf(conj_thm_2Ebool_2Ebool__case__thm,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 ) ) )
& ! [V2t1: $i] :
( ( mem @ V2t1 @ A_27a )
=> ! [V3t2: $i] :
( ( mem @ V3t2 @ A_27a )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2EF ) @ V2t1 ) @ V3t2 )
= V3t2 ) ) ) ) ) ).
thf(zip_derived_cl71,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_2Ebool__case__thm]) ).
thf(zip_derived_cl616,plain,
! [X0: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__3 ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__4 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl71]) ).
thf(ax_thm_2Ewords_2Eword__sub__def,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0v: $i] :
( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V0v ) @ V1w )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V0v ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ V1w ) ) ) ) ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mem @ X0 @ ( ty_2Efcp_2Ecart @ bool @ X1 ) )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ X1 ) @ X0 ) @ X2 )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X1 ) @ X0 ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X1 ) @ X2 ) ) )
| ~ ( mem @ X2 @ ( ty_2Efcp_2Ecart @ bool @ X1 ) )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[ax_thm_2Ewords_2Eword__sub__def]) ).
thf(zip_derived_cl623,plain,
! [X0: $i] :
( ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( ne @ X0 )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__3 ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__4 ) )
= ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( ne @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl616,zip_derived_cl73]) ).
thf(zip_derived_cl624,plain,
! [X0: $i] :
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__3 ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__4 ) )
= ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( ne @ X0 )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl623]) ).
thf(zip_derived_cl78,plain,
( ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) )
!= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl655,plain,
( ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( ne @ sk__2 )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ( ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) )
!= ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl78]) ).
thf(zip_derived_cl76,plain,
ne @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl656,plain,
( ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ( ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) )
!= ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl76]) ).
thf(zip_derived_cl657,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl656]) ).
thf(zip_derived_cl686,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
thf(zip_derived_cl689,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
thf(zip_derived_cl178_007,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl3]) ).
thf(zip_derived_cl717,plain,
( ( ~ ( ne @ sk__2 )
| ~ ( mem @ sk__4 @ ty_2Enum_2Enum ) )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl689,zip_derived_cl178]) ).
thf(zip_derived_cl76_008,plain,
ne @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_009,plain,
mem @ sk__4 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl717,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl688,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
thf(zip_derived_cl178_010,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl3]) ).
thf(zip_derived_cl716,plain,
( ( ~ ( ne @ sk__2 )
| ~ ( mem @ sk__3 @ ty_2Enum_2Enum ) )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl688,zip_derived_cl178]) ).
thf(zip_derived_cl76_011,plain,
ne @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_012,plain,
mem @ sk__3 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('7',plain,
mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl76,zip_derived_cl80]) ).
thf(ne_ty_2Efcp_2Ecart,axiom,
! [A0: $i] :
( ( ne @ A0 )
=> ! [A1: $i] :
( ( ne @ A1 )
=> ( ne @ ( ty_2Efcp_2Ecart @ A0 @ A1 ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ( ne @ ( ty_2Efcp_2Ecart @ X1 @ X0 ) )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[ne_ty_2Efcp_2Ecart]) ).
thf(zip_derived_cl685,plain,
( ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
<= ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
thf(zip_derived_cl691,plain,
( ( ~ ( ne @ bool )
| ~ ( ne @ sk__2 ) )
<= ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl685]) ).
thf(zip_derived_cl0_013,plain,
ne @ bool,
inference(cnf,[status(esa)],[bool_ne]) ).
thf(zip_derived_cl76_014,plain,
ne @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
ne @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl691,zip_derived_cl0,zip_derived_cl76]) ).
thf(zip_derived_cl95_015,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Enum_2Enum )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X0 ) @ X1 ) @ ty_2Enum_2Enum ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl3]) ).
thf(zip_derived_cl687,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
thf(zip_derived_cl178_016,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl3]) ).
thf(zip_derived_cl715,plain,
( ( ~ ( ne @ sk__2 )
| ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) @ ty_2Enum_2Enum ) )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl687,zip_derived_cl178]) ).
thf(zip_derived_cl76_017,plain,
ne @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl718,plain,
( ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) @ ty_2Enum_2Enum )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl715,zip_derived_cl76]) ).
thf(zip_derived_cl731,plain,
( ( ~ ( mem @ sk__4 @ ty_2Enum_2Enum )
| ~ ( mem @ sk__3 @ ty_2Enum_2Enum ) )
<= ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl718]) ).
thf(zip_derived_cl77_018,plain,
mem @ sk__4 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_019,plain,
mem @ sk__3 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl731,zip_derived_cl77,zip_derived_cl80]) ).
thf('10',plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__3 ) @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( ne @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__3 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ sk__4 ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl657]) ).
thf('11',plain,
~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ),
inference('sat_resolution*',[status(thm)],['6','7','8','9','10']) ).
thf(zip_derived_cl735,plain,
~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl686,'11']) ).
thf(mem_c_2Ewords_2Eword__2comp,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( mem @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ X0 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) )
| ~ ( ne @ X0 ) ),
inference(cnf,[status(esa)],[mem_c_2Ewords_2Eword__2comp]) ).
thf(zip_derived_cl3_020,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_cl315,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl3]) ).
thf(zip_derived_cl3007,plain,
( ~ ( ne @ sk__2 )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl315]) ).
thf(zip_derived_cl76_021,plain,
ne @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3014,plain,
~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl3007,zip_derived_cl76]) ).
thf(zip_derived_cl4011,plain,
( ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) @ ty_2Enum_2Enum )
| ~ ( ne @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl3014]) ).
thf(zip_derived_cl76_022,plain,
ne @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4012,plain,
~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ sk__4 ) @ sk__3 ) @ ty_2Enum_2Enum ),
inference(demod,[status(thm)],[zip_derived_cl4011,zip_derived_cl76]) ).
thf(zip_derived_cl4195,plain,
( ~ ( mem @ sk__3 @ ty_2Enum_2Enum )
| ~ ( mem @ sk__4 @ ty_2Enum_2Enum ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl4012]) ).
thf(zip_derived_cl80_023,plain,
mem @ sk__3 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_024,plain,
mem @ sk__4 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4196,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl80,zip_derived_cl77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP013+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rFrrcWx8Jv true
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 11:04:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.21/0.44 % Python version: Python 3.6.8
% 0.21/0.44 % Running in FO mode
% 0.30/1.13 % Total configuration time : 435
% 0.30/1.13 % Estimated wc time : 1092
% 0.30/1.13 % Estimated cpu time (7 cpus) : 156.0
% 0.33/1.20 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.33/1.22 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.33/1.24 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.33/1.25 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.33/1.25 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.33/1.25 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.33/1.25 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.25/2.02 % Solved by fo/fo1_av.sh.
% 6.25/2.02 % done 990 iterations in 0.755s
% 6.25/2.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.25/2.02 % SZS output start Refutation
% See solution above
% 6.25/2.02
% 6.25/2.02
% 6.25/2.02 % Terminating...
% 6.95/2.08 % Runner terminated.
% 6.95/2.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------