TSTP Solution File: ITP004+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP004+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.kzSByDj2V4 true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:20:45 EDT 2023
% Result : Theorem 179.33s 26.54s
% Output : Refutation 179.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 73 ( 28 unt; 14 typ; 0 def)
% Number of atoms : 134 ( 5 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 812 ( 63 ~; 53 |; 1 &; 674 @)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $i ).
thf(c_2Epred__set_2EDELETE_type,type,
c_2Epred__set_2EDELETE: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(mem_type,type,
mem: $i > $i > $o ).
thf(c_2Epred__set_2EREST_type,type,
c_2Epred__set_2EREST: $i > $i ).
thf(ne_type,type,
ne: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(c_2Ebool_2EIN_type,type,
c_2Ebool_2EIN: $i > $i ).
thf(p_type,type,
p: $i > $o ).
thf(c_2Epred__set_2ECHOICE_type,type,
c_2Epred__set_2ECHOICE: $i > $i ).
thf(c_2Epred__set_2ESUBSET_type,type,
c_2Epred__set_2ESUBSET: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(arr_type,type,
arr: $i > $i > $i ).
thf(conj_thm_2Epred__set_2EREST__SUBSET,conjecture,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Epred__set_2EREST__SUBSET]) ).
thf(zip_derived_cl42,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ sk__3 ) @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) ) @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
mem @ sk__4 @ ( arr @ sk__3 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mem_c_2Epred__set_2ECHOICE,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ( mem @ ( c_2Epred__set_2ECHOICE @ X0 ) @ ( arr @ ( arr @ X0 @ bool ) @ X0 ) )
| ~ ( ne @ X0 ) ),
inference(cnf,[status(esa)],[mem_c_2Epred__set_2ECHOICE]) ).
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_cl77,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
| ( mem @ ( ap @ ( c_2Epred__set_2ECHOICE @ X0 ) @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl3]) ).
thf(zip_derived_cl1526,plain,
( ~ ( ne @ sk__3 )
| ( mem @ ( ap @ ( c_2Epred__set_2ECHOICE @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl77]) ).
thf(zip_derived_cl41,plain,
ne @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1538,plain,
mem @ ( ap @ ( c_2Epred__set_2ECHOICE @ sk__3 ) @ sk__4 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl1526,zip_derived_cl41]) ).
thf(zip_derived_cl42_001,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ sk__3 ) @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) ) @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax_thm_2Epred__set_2ESUBSET__DEF,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ! [V1t: $i] :
( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
<=> ! [V2x: $i] :
( ( mem @ V2x @ A_27a )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ X1 ) @ ( sk__2 @ X2 @ X0 @ X1 ) ) @ X2 ) )
| ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ X1 ) @ X0 ) @ X2 ) )
| ~ ( mem @ X2 @ ( arr @ X1 @ bool ) )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[ax_thm_2Epred__set_2ESUBSET__DEF]) ).
thf(zip_derived_cl356,plain,
( ~ ( mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) ) @ sk__4 ) )
| ~ ( mem @ sk__4 @ ( arr @ sk__3 @ bool ) )
| ~ ( ne @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl35]) ).
thf(zip_derived_cl43_002,plain,
mem @ sk__4 @ ( arr @ sk__3 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41_003,plain,
ne @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl360,plain,
( ~ ( mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) ) @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl43,zip_derived_cl41]) ).
thf(zip_derived_cl43_004,plain,
mem @ sk__4 @ ( arr @ sk__3 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mem_c_2Epred__set_2EREST,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Epred__set_2EREST @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ( mem @ ( c_2Epred__set_2EREST @ X0 ) @ ( arr @ ( arr @ X0 @ bool ) @ ( arr @ X0 @ bool ) ) )
| ~ ( ne @ X0 ) ),
inference(cnf,[status(esa)],[mem_c_2Epred__set_2EREST]) ).
thf(zip_derived_cl3_005,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_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
| ( mem @ ( ap @ ( c_2Epred__set_2EREST @ X0 ) @ X1 ) @ ( arr @ X0 @ bool ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl3]) ).
thf(zip_derived_cl1872,plain,
( ~ ( ne @ sk__3 )
| ( mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl80]) ).
thf(zip_derived_cl41_006,plain,
ne @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1887,plain,
mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ),
inference(demod,[status(thm)],[zip_derived_cl1872,zip_derived_cl41]) ).
thf(zip_derived_cl3427,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) ) @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl1887]) ).
thf(zip_derived_cl43_007,plain,
mem @ sk__4 @ ( arr @ sk__3 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_thm_2Epred__set_2EIN__DELETE,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ! [V1x: $i] :
( ( mem @ V1x @ A_27a )
=> ! [V2y: $i] :
( ( mem @ V2y @ A_27a )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2y ) ) )
<=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) )
& ( V1x != V2y ) ) ) ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
| ~ ( mem @ X2 @ X1 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ X1 ) @ X3 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X1 ) @ X0 ) @ X2 ) ) )
| ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ X1 ) @ X3 ) @ X0 ) )
| ~ ( mem @ X3 @ X1 )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[conj_thm_2Epred__set_2EIN__DELETE]) ).
thf(zip_derived_cl672,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ sk__3 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ X1 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ sk__3 ) @ sk__4 ) @ X0 ) ) )
| ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ X1 ) @ sk__4 ) )
| ~ ( mem @ X1 @ sk__3 )
| ~ ( ne @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl39]) ).
thf(zip_derived_cl41_008,plain,
ne @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl676,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ sk__3 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ X1 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ sk__3 ) @ sk__4 ) @ X0 ) ) )
| ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ X1 ) @ sk__4 ) )
| ~ ( mem @ X1 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl672,zip_derived_cl41]) ).
thf(zip_derived_cl144506,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ sk__3 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ sk__3 ) @ sk__4 ) @ X0 ) ) )
| ~ ( mem @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3427,zip_derived_cl676]) ).
thf(zip_derived_cl42_009,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ sk__3 ) @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) ) @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
| ( mem @ ( sk__2 @ X2 @ X0 @ X1 ) @ X1 )
| ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ X1 ) @ X0 ) @ X2 ) )
| ~ ( mem @ X2 @ ( arr @ X1 @ bool ) )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[ax_thm_2Epred__set_2ESUBSET__DEF]) ).
thf(zip_derived_cl495,plain,
( ~ ( mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ) )
| ( mem @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) @ sk__3 )
| ~ ( mem @ sk__4 @ ( arr @ sk__3 @ bool ) )
| ~ ( ne @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl36]) ).
thf(zip_derived_cl43_010,plain,
mem @ sk__4 @ ( arr @ sk__3 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41_011,plain,
ne @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl499,plain,
( ~ ( mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ) )
| ( mem @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl43,zip_derived_cl41]) ).
thf(zip_derived_cl1887_012,plain,
mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ),
inference(demod,[status(thm)],[zip_derived_cl1872,zip_derived_cl41]) ).
thf(zip_derived_cl81705,plain,
mem @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl1887]) ).
thf(zip_derived_cl144509,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ sk__3 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ sk__3 ) @ sk__4 ) @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl144506,zip_derived_cl81705]) ).
thf(zip_derived_cl144769,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ sk__3 ) @ sk__4 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ sk__3 ) @ sk__4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl144509]) ).
thf(zip_derived_cl43_013,plain,
mem @ sk__4 @ ( arr @ sk__3 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax_thm_2Epred__set_2EREST__DEF,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
| ( ( ap @ ( c_2Epred__set_2EREST @ X1 ) @ X0 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X1 ) @ X0 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ X1 ) @ X0 ) ) )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[ax_thm_2Epred__set_2EREST__DEF]) ).
thf(zip_derived_cl232,plain,
( ( ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ sk__3 ) @ sk__4 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ sk__3 ) @ sk__4 ) ) )
| ~ ( ne @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).
thf(zip_derived_cl41_014,plain,
ne @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl235,plain,
( ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ sk__3 ) @ sk__4 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ sk__3 ) @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl41]) ).
thf(zip_derived_cl144773,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ sk__3 ) @ ( sk__2 @ sk__4 @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ sk__3 ) ) @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl144769,zip_derived_cl235]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
| ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ X1 ) @ ( sk__2 @ X2 @ X0 @ X1 ) ) @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ X1 ) @ X0 ) @ X2 ) )
| ~ ( mem @ X2 @ ( arr @ X1 @ bool ) )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[ax_thm_2Epred__set_2ESUBSET__DEF]) ).
thf(zip_derived_cl144881,plain,
( ~ ( mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ) )
| ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ sk__3 ) @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) ) @ sk__4 ) )
| ~ ( mem @ sk__4 @ ( arr @ sk__3 @ bool ) )
| ~ ( ne @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl144773,zip_derived_cl34]) ).
thf(zip_derived_cl1887_015,plain,
mem @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) @ ( arr @ sk__3 @ bool ),
inference(demod,[status(thm)],[zip_derived_cl1872,zip_derived_cl41]) ).
thf(zip_derived_cl43_016,plain,
mem @ sk__4 @ ( arr @ sk__3 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41_017,plain,
ne @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl144888,plain,
p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ sk__3 ) @ ( ap @ ( c_2Epred__set_2EREST @ sk__3 ) @ sk__4 ) ) @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl144881,zip_derived_cl1887,zip_derived_cl43,zip_derived_cl41]) ).
thf(zip_derived_cl144903,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl144888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP004+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.kzSByDj2V4 true
% 0.14/0.35 % Computer : n018.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 12:52:46 EDT 2023
% 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 FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 179.33/26.54 % Solved by fo/fo13.sh.
% 179.33/26.54 % done 2937 iterations in 25.735s
% 179.33/26.54 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 179.33/26.54 % SZS output start Refutation
% See solution above
% 179.33/26.54
% 179.33/26.54
% 179.33/26.54 % Terminating...
% 180.41/26.63 % Runner terminated.
% 180.41/26.64 % Zipperpin 1.5 exiting
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