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/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FktVTXcqjL true
% Computer : n029.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 : Timeout 286.94s 37.49s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 46
% Syntax : Number of formulae : 76 ( 18 unt; 29 typ; 0 def)
% Number of atoms : 146 ( 23 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 829 ( 64 ~; 60 |; 6 &; 666 @)
% ( 2 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 11 con; 0-3 aty)
% Number of variables : 120 ( 0 ^; 120 !; 0 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(tp__ty_2Enum_2Enum_type,type,
tp__ty_2Enum_2Enum: $tType ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(c_2Ewords_2Eword__2comp_type,type,
c_2Ewords_2Eword__2comp: del > $i ).
thf(sk__1_type,type,
sk__1: del ).
thf(c_2Ewords_2En2w_type,type,
c_2Ewords_2En2w: del > $i ).
thf(c_2Ebool_2EF_type,type,
c_2Ebool_2EF: $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__2_type,type,
sk__2: tp__ty_2Enum_2Enum ).
thf(c_2Ewords_2Eword__sub_type,type,
c_2Ewords_2Eword__sub: del > $i ).
thf(c_2Ewords_2Eword__add_type,type,
c_2Ewords_2Eword__add: del > $i ).
thf(c_2Ebool_2ECOND_type,type,
c_2Ebool_2ECOND: del > $i ).
thf(sk__3_type,type,
sk__3: tp__ty_2Enum_2Enum ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(c_2Earithmetic_2E_2D_type,type,
c_2Earithmetic_2E_2D: $i ).
thf(arr_type,type,
arr: del > del > del ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(inj__ty_2Enum_2Enum_type,type,
inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
thf(c_2Earithmetic_2E_3C_3D_type,type,
c_2Earithmetic_2E_3C_3D: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(bool_type,type,
bool: del ).
thf(ty_2Enum_2Enum_type,type,
ty_2Enum_2Enum: del ).
thf(c_2Ebool_2ET_type,type,
c_2Ebool_2ET: $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $o ).
thf(c_2Earithmetic_2E_2B_type,type,
c_2Earithmetic_2E_2B: $i ).
thf(ty_2Efcp_2Ecart_type,type,
ty_2Efcp_2Ecart: del > del > del ).
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_cl9,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: del,B: del,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( mem @ ( ap @ c_2Earithmetic_2E_2D @ X0 ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
| ~ ( mem @ X0 @ ty_2Enum_2Enum ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
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_cl10,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_cl0_001,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( mem @ ( ap @ c_2Earithmetic_2E_3C_3D @ X0 ) @ ( arr @ ty_2Enum_2Enum @ bool ) )
| ~ ( mem @ X0 @ ty_2Enum_2Enum ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(stp_inj_mem_ty_2Enum_2Enum,axiom,
! [X: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X ) @ ty_2Enum_2Enum ) ).
thf(zip_derived_cl8,plain,
! [X0: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X0 ) @ ty_2Enum_2Enum ),
inference(cnf,[status(esa)],[stp_inj_mem_ty_2Enum_2Enum]) ).
thf(conj_thm_2Ewords_2En2w__sub,conjecture,
! [A_27a: del,V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
=> ( ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: del,V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
=> ( ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Ewords_2En2w__sub]) ).
thf(zip_derived_cl49,plain,
p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax_true_p,axiom,
p @ c_2Ebool_2ET ).
thf(zip_derived_cl6,plain,
p @ c_2Ebool_2ET,
inference(cnf,[status(esa)],[ax_true_p]) ).
thf(conj_thm_2Ebool_2ECOND__CONG,axiom,
! [A_27a: del,V0P: $i] :
( ( mem @ V0P @ bool )
=> ! [V1Q: $i] :
( ( mem @ V1Q @ bool )
=> ! [V2x: $i] :
( ( mem @ V2x @ A_27a )
=> ! [V3x_27: $i] :
( ( mem @ V3x_27 @ A_27a )
=> ! [V4y: $i] :
( ( mem @ V4y @ A_27a )
=> ! [V5y_27: $i] :
( ( mem @ V5y_27 @ A_27a )
=> ( ( ( ~ ( p @ V1Q )
=> ( V4y = V5y_27 ) )
& ( ( p @ V1Q )
=> ( V2x = V3x_27 ) )
& ( ( p @ V0P )
<=> ( p @ V1Q ) ) )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V0P ) @ V2x ) @ V4y )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V1Q ) @ V3x_27 ) @ V5y_27 ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [V1Q: $i,V0P: $i] :
( ( ( p @ V0P )
<=> ( p @ V1Q ) )
=> ( zip_tseitin_6 @ V1Q @ V0P ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( p @ X0 )
| ~ ( p @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mem_c_2Ewords_2En2w,axiom,
! [A_27a: del] : ( mem @ ( c_2Ewords_2En2w @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: del] : ( mem @ ( c_2Ewords_2En2w @ X0 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference(cnf,[status(esa)],[mem_c_2Ewords_2En2w]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl80,plain,
! [X0: del,X1: $i] :
( ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( mem @ X1 @ ty_2Enum_2Enum ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).
thf(zip_derived_cl50,plain,
( ( ap @ ( c_2Ewords_2En2w @ sk__1 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__2 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) )
!= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ sk__1 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__1 ) @ ( inj__ty_2Enum_2Enum @ sk__2 ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ sk__1 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mem_c_2Ewords_2Eword__2comp,axiom,
! [A_27a: del] : ( mem @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: del] : ( mem @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ X0 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference(cnf,[status(esa)],[mem_c_2Ewords_2Eword__2comp]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl88,plain,
! [X0: del,X1: $i] :
( ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( mem @ X1 @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl0]) ).
thf(conj_thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [A_27a: del,A_27b: del] :
( ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) )
& ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
= ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: del,X1: tp__ty_2Enum_2Enum,X2: tp__ty_2Enum_2Enum] :
( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X2 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ewords_2EWORD__LITERAL__ADD]) ).
thf(ax_thm_2Ewords_2Eword__sub__def,axiom,
! [A_27a: del,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_cl46,plain,
! [X0: $i,X1: del,X2: $i] :
( ~ ( mem @ X0 @ ( ty_2Efcp_2Ecart @ bool @ X1 ) )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ X1 ) @ X2 ) @ X0 )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X1 ) @ X2 ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X1 ) @ X0 ) ) )
| ~ ( mem @ X2 @ ( ty_2Efcp_2Ecart @ bool @ X1 ) ) ),
inference(cnf,[status(esa)],[ax_thm_2Ewords_2Eword__sub__def]) ).
thf(zf_stmt_2,axiom,
! [V3x_27: $i,V2x: $i,V1Q: $i] :
( ( ( p @ V1Q )
=> ( V2x = V3x_27 ) )
=> ( zip_tseitin_5 @ V3x_27 @ V2x @ V1Q ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zf_stmt_3,axiom,
! [V5y_27: $i,V4y: $i,V1Q: $i] :
( ( ~ ( p @ V1Q )
=> ( V4y = V5y_27 ) )
=> ( zip_tseitin_4 @ V5y_27 @ V4y @ V1Q ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(conj_thm_2Ebool_2Ebool__case__thm,axiom,
! [A_27a: del] :
( ! [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 ) ) )
& ! [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 ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: del,X2: $i] :
( ~ ( mem @ X0 @ X1 )
| ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X1 ) @ c_2Ebool_2ET ) @ X2 ) @ X0 )
= X2 )
| ~ ( mem @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[conj_thm_2Ebool_2Ebool__case__thm]) ).
thf(zf_stmt_4,type,
zip_tseitin_6: $i > $i > $o ).
thf(zf_stmt_5,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zf_stmt_6,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [A_27a: del,V0P: $i] :
( ( mem @ V0P @ bool )
=> ! [V1Q: $i] :
( ( mem @ V1Q @ bool )
=> ! [V2x: $i] :
( ( mem @ V2x @ A_27a )
=> ! [V3x_27: $i] :
( ( mem @ V3x_27 @ A_27a )
=> ! [V4y: $i] :
( ( mem @ V4y @ A_27a )
=> ! [V5y_27: $i] :
( ( mem @ V5y_27 @ A_27a )
=> ( ( ( zip_tseitin_6 @ V1Q @ V0P )
& ( zip_tseitin_5 @ V3x_27 @ V2x @ V1Q )
& ( zip_tseitin_4 @ V5y_27 @ V4y @ V1Q ) )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V0P ) @ V2x ) @ V4y )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V1Q ) @ V3x_27 ) @ V5y_27 ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: del,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( mem @ X0 @ bool )
| ~ ( mem @ X1 @ X2 )
| ~ ( mem @ X3 @ X2 )
| ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X2 ) @ X4 ) @ X5 ) @ X6 )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X2 ) @ X0 ) @ X1 ) @ X3 ) )
| ~ ( zip_tseitin_4 @ X3 @ X6 @ X0 )
| ~ ( zip_tseitin_5 @ X1 @ X5 @ X0 )
| ~ ( zip_tseitin_6 @ X0 @ X4 )
| ~ ( mem @ X6 @ X2 )
| ~ ( mem @ X5 @ X2 )
| ~ ( mem @ X4 @ bool ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: del,X5: $i] :
( ( X0
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X4 ) @ X3 ) @ X2 ) @ X1 ) )
| ~ ( mem @ X0 @ X4 )
| ~ ( mem @ X5 @ X4 )
| ~ ( mem @ c_2Ebool_2ET @ bool )
| ~ ( mem @ X0 @ X4 )
| ~ ( mem @ X5 @ X4 )
| ~ ( zip_tseitin_6 @ X3 @ c_2Ebool_2ET )
| ~ ( zip_tseitin_5 @ X2 @ X0 @ X3 )
| ~ ( zip_tseitin_4 @ X1 @ X5 @ X3 )
| ~ ( mem @ X1 @ X4 )
| ~ ( mem @ X2 @ X4 )
| ~ ( mem @ X3 @ bool ) ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl43]) ).
thf(mem_c_2Ebool_2ET,axiom,
mem @ c_2Ebool_2ET @ bool ).
thf(zip_derived_cl5,plain,
mem @ c_2Ebool_2ET @ bool,
inference(cnf,[status(esa)],[mem_c_2Ebool_2ET]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: del,X5: $i] :
( ( X0
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X4 ) @ X3 ) @ X2 ) @ X1 ) )
| ~ ( mem @ X0 @ X4 )
| ~ ( mem @ X5 @ X4 )
| ~ ( mem @ X0 @ X4 )
| ~ ( mem @ X5 @ X4 )
| ~ ( zip_tseitin_6 @ X3 @ c_2Ebool_2ET )
| ~ ( zip_tseitin_5 @ X2 @ X0 @ X3 )
| ~ ( zip_tseitin_4 @ X1 @ X5 @ X3 )
| ~ ( mem @ X1 @ X4 )
| ~ ( mem @ X2 @ X4 )
| ~ ( mem @ X3 @ bool ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl5]) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: del,X5: $i] :
( ~ ( mem @ X3 @ bool )
| ~ ( mem @ X2 @ X4 )
| ~ ( mem @ X1 @ X4 )
| ~ ( zip_tseitin_4 @ X1 @ X5 @ X3 )
| ~ ( zip_tseitin_5 @ X2 @ X0 @ X3 )
| ~ ( zip_tseitin_6 @ X3 @ c_2Ebool_2ET )
| ~ ( mem @ X5 @ X4 )
| ~ ( mem @ X0 @ X4 )
| ( X0
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X4 ) @ X3 ) @ X2 ) @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl30096,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl57,zip_derived_cl59,zip_derived_cl0,zip_derived_cl8,zip_derived_cl49,zip_derived_cl6,zip_derived_cl41,zip_derived_cl80,zip_derived_cl50,zip_derived_cl88,zip_derived_cl47,zip_derived_cl46,zip_derived_cl39,zip_derived_cl37,zip_derived_cl206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP013^2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FktVTXcqjL true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 10:37:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.78/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.78/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.78/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 233.47/30.64 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 286.94/37.49 % Solved by lams/40_c.s.sh.
% 286.94/37.49 % done 772 iterations in 36.698s
% 286.94/37.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 286.94/37.49 % SZS output start Refutation
% See solution above
% 286.94/37.49
% 286.94/37.49
% 286.94/37.50 % Terminating...
% 286.94/37.63 % Runner terminated.
% 286.94/37.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------