TSTP Solution File: SWV404+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV404+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OLhL0NZklf true
% Computer : n031.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 : Fri Sep 1 00:09:34 EDT 2023
% Result : Theorem 82.85s 12.59s
% Output : Refutation 82.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 35
% Syntax : Number of formulae : 221 ( 30 unt; 19 typ; 0 def)
% Number of atoms : 721 ( 243 equ; 28 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 2929 ( 132 ~; 272 |; 68 &;2312 @)
% ( 4 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 19 usr; 9 con; 0-3 aty)
% ( 89 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 496 ( 89 ^; 407 !; 0 ?; 496 :)
% Comments :
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(findmin_pqp_res_type,type,
findmin_pqp_res: $i > $i ).
thf(create_slb_type,type,
create_slb: $i ).
thf(check_cpq_type,type,
check_cpq: $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(findmin_cpq_res_type,type,
findmin_cpq_res: $i > $i ).
thf(findmin_cpq_eff_type,type,
findmin_cpq_eff: $i > $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(bad_type,type,
bad: $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(update_slb_type,type,
update_slb: $i > $i > $i ).
thf(remove_cpq_type,type,
remove_cpq: $i > $i > $i ).
thf(ok_type,type,
ok: $i > $o ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(removemin_cpq_eff_type,type,
removemin_cpq_eff: $i > $i ).
thf(lookup_slb_type,type,
lookup_slb: $i > $i > $i ).
thf(contains_slb_type,type,
contains_slb: $i > $i > $o ).
thf(removemin_cpq_res_type,type,
removemin_cpq_res: $i > $i ).
thf(l40_co,conjecture,
! [U: $i,V: $i,W: $i] :
( ( ( ok @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) )
& ( check_cpq @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) ) )
=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i,V: $i,W: $i] :
( ( ( ok @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) )
& ( check_cpq @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) ) )
=> ( check_cpq @ ( triple @ U @ V @ W ) ) ),
inference('cnf.neg',[status(esa)],[l40_co]) ).
thf(zip_derived_cl43,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( ok @ ( removemin_cpq_eff @ ( triple @ Y0 @ Y1 @ Y2 ) ) )
& ( check_cpq @ ( removemin_cpq_eff @ ( triple @ Y0 @ Y1 @ Y2 ) ) ) )
=> ( check_cpq @ ( triple @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ Y0 @ Y1 ) ) )
& ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ Y0 @ Y1 ) ) ) )
=> ( check_cpq @ ( triple @ '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl206,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ Y0 ) ) )
& ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ Y0 ) ) ) )
=> ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl207,plain,
~ ( ( ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) )
& ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) ) )
=> ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl209,plain,
~ ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl208,plain,
( ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) )
& ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl210,plain,
ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl208]) ).
thf(ax52,axiom,
! [U: $i] :
( ( removemin_cpq_eff @ U )
= ( remove_cpq @ ( findmin_cpq_eff @ U ) @ ( findmin_cpq_res @ U ) ) ) ).
thf(zip_derived_cl39,plain,
( !!
@ ^ [Y0: $i] :
( ( removemin_cpq_eff @ Y0 )
= ( remove_cpq @ ( findmin_cpq_eff @ Y0 ) @ ( findmin_cpq_res @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[ax52]) ).
thf(zip_derived_cl70,plain,
! [X2: $i] :
( ( removemin_cpq_eff @ X2 )
= ( remove_cpq @ ( findmin_cpq_eff @ X2 ) @ ( findmin_cpq_res @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl71,plain,
! [X2: $i] :
( ( removemin_cpq_eff @ X2 )
= ( remove_cpq @ ( findmin_cpq_eff @ X2 ) @ ( findmin_cpq_res @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl70]) ).
thf(ax53,axiom,
! [U: $i] :
( ( removemin_cpq_res @ U )
= ( findmin_cpq_res @ U ) ) ).
thf(zip_derived_cl40,plain,
( !!
@ ^ [Y0: $i] :
( ( removemin_cpq_res @ Y0 )
= ( findmin_cpq_res @ Y0 ) ) ),
inference(cnf,[status(esa)],[ax53]) ).
thf(zip_derived_cl60,plain,
! [X2: $i] :
( ( removemin_cpq_res @ X2 )
= ( findmin_cpq_res @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl61,plain,
! [X2: $i] :
( ( removemin_cpq_res @ X2 )
= ( findmin_cpq_res @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl72,plain,
! [X2: $i] :
( ( removemin_cpq_eff @ X2 )
= ( remove_cpq @ ( findmin_cpq_eff @ X2 ) @ ( removemin_cpq_res @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl61]) ).
thf(stricly_smaller_definition,axiom,
! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ~ ( less_than @ V @ U )
& ( less_than @ U @ V ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( strictly_less_than @ Y0 @ Y1 )
<=> ( ( (~) @ ( less_than @ Y1 @ Y0 ) )
& ( less_than @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(zip_derived_cl121,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( strictly_less_than @ X2 @ Y0 )
<=> ( ( (~) @ ( less_than @ Y0 @ X2 ) )
& ( less_than @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl122,plain,
! [X2: $i,X4: $i] :
( ( strictly_less_than @ X2 @ X4 )
<=> ( ( (~) @ ( less_than @ X4 @ X2 ) )
& ( less_than @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl123,plain,
! [X2: $i,X4: $i] :
( ( strictly_less_than @ X2 @ X4 )
= ( ( (~) @ ( less_than @ X4 @ X2 ) )
& ( less_than @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl128,plain,
! [X2: $i,X4: $i] :
( ( strictly_less_than @ X2 @ X4 )
| ~ ( ( (~) @ ( less_than @ X4 @ X2 ) )
& ( less_than @ X2 @ X4 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl136,plain,
! [X2: $i,X4: $i] :
( ( less_than @ X4 @ X2 )
| ~ ( less_than @ X2 @ X4 )
| ( strictly_less_than @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl128]) ).
thf(totality,axiom,
! [U: $i,V: $i] :
( ( less_than @ U @ V )
| ( less_than @ V @ U ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( less_than @ Y0 @ Y1 )
| ( less_than @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl77,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( less_than @ X2 @ Y0 )
| ( less_than @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl78,plain,
! [X2: $i,X4: $i] :
( ( less_than @ X2 @ X4 )
| ( less_than @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl79,plain,
! [X2: $i,X4: $i] :
( ( less_than @ X2 @ X4 )
| ( less_than @ X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl137,plain,
! [X2: $i,X4: $i] :
( ( strictly_less_than @ X2 @ X4 )
| ( less_than @ X4 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl79]) ).
thf(zip_derived_cl137_001,plain,
! [X2: $i,X4: $i] :
( ( strictly_less_than @ X2 @ X4 )
| ( less_than @ X4 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl79]) ).
thf(transitivity,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( less_than @ V @ W )
& ( less_than @ U @ V ) )
=> ( less_than @ U @ W ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( less_than @ Y1 @ Y2 )
& ( less_than @ Y0 @ Y1 ) )
=> ( less_than @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl48,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( less_than @ Y0 @ Y1 )
& ( less_than @ X2 @ Y0 ) )
=> ( less_than @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( less_than @ X4 @ Y0 )
& ( less_than @ X2 @ X4 ) )
=> ( less_than @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl50,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( less_than @ X4 @ X6 )
& ( less_than @ X2 @ X4 ) )
=> ( less_than @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl51,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( less_than @ X4 @ X6 )
& ( less_than @ X2 @ X4 ) )
| ( less_than @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl52,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( less_than @ X4 @ X6 )
| ~ ( less_than @ X2 @ X4 )
| ( less_than @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( strictly_less_than @ X0 @ X1 )
| ~ ( less_than @ X2 @ X1 )
| ( less_than @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl52]) ).
thf(zip_derived_cl513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( strictly_less_than @ X0 @ X1 )
| ( strictly_less_than @ X2 @ X0 )
| ( less_than @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl138]) ).
thf(ax48,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ U ) @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( V != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) ).
thf(zip_derived_cl35,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ Y0 ) @ ( lookup_slb @ Y1 @ ( findmin_pqp_res @ Y0 ) ) )
& ( contains_slb @ Y1 @ ( findmin_pqp_res @ Y0 ) )
& ( Y1 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ Y0 @ Y1 @ Y2 ) )
= ( triple @ Y0 @ ( update_slb @ Y1 @ ( findmin_pqp_res @ Y0 ) ) @ bad ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax48]) ).
thf(zip_derived_cl488,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ Y0 @ ( findmin_pqp_res @ X2 ) ) )
& ( contains_slb @ Y0 @ ( findmin_pqp_res @ X2 ) )
& ( Y0 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ Y0 @ Y1 ) )
= ( triple @ X2 @ ( update_slb @ Y0 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl489,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ Y0 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl488]) ).
thf(zip_derived_cl490,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl489]) ).
thf(zip_derived_cl491,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl490]) ).
thf(zip_derived_cl492,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl491]) ).
thf(zip_derived_cl493,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl492]) ).
thf(zip_derived_cl494,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
| ~ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 != create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl493]) ).
thf(zip_derived_cl495,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
| ~ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl494]) ).
thf(ax47,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( V != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) ).
thf(zip_derived_cl34,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( (~) @ ( contains_slb @ Y1 @ ( findmin_pqp_res @ Y0 ) ) )
& ( Y1 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ Y0 @ Y1 @ Y2 ) )
= ( triple @ Y0 @ ( update_slb @ Y1 @ ( findmin_pqp_res @ Y0 ) ) @ bad ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax47]) ).
thf(zip_derived_cl411,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( (~) @ ( contains_slb @ Y0 @ ( findmin_pqp_res @ X2 ) ) )
& ( Y0 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ Y0 @ Y1 ) )
= ( triple @ X2 @ ( update_slb @ Y0 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl412,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( (~) @ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ Y0 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl411]) ).
thf(zip_derived_cl413,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( (~) @ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl412]) ).
thf(zip_derived_cl414,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( (~) @ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl413]) ).
thf(zip_derived_cl415,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( (~) @ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( X4 != create_slb ) )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl416,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( (~) @ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) )
& ( X4 != create_slb ) )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl415]) ).
thf(zip_derived_cl417,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 != create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl416]) ).
thf(zip_derived_cl418,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl417]) ).
thf(zip_derived_cl496,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) )
| ( X4 = create_slb )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl495,zip_derived_cl418]) ).
thf(zip_derived_cl1218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ X2 )
| ( strictly_less_than @ X2 @ ( findmin_pqp_res @ X0 ) )
| ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X3 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
| ( X1 = create_slb ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl496]) ).
thf(zip_derived_cl211,plain,
check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl418_002,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl417]) ).
thf(zip_derived_cl418_003,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl417]) ).
thf(zip_derived_cl418_004,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl417]) ).
thf(zip_derived_cl418_005,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl417]) ).
thf(zip_derived_cl438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = create_slb )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl418]) ).
thf(zip_derived_cl442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl438]) ).
thf(ax51,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( V != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pqp_res @ U ) ) ) ).
thf(zip_derived_cl38,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( Y1 != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ Y0 @ Y1 @ Y2 ) )
= ( findmin_pqp_res @ Y0 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax51]) ).
thf(zip_derived_cl262,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ X2 @ Y0 @ Y1 ) )
= ( findmin_pqp_res @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl263,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( X4 != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ X2 @ X4 @ Y0 ) )
= ( findmin_pqp_res @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl264,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( X4 != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ X2 @ X4 @ X6 ) )
= ( findmin_pqp_res @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl265,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X4 != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ X2 @ X4 @ X6 ) )
= ( findmin_pqp_res @ X2 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl61_006,plain,
! [X2: $i] :
( ( removemin_cpq_res @ X2 )
= ( findmin_cpq_res @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl266,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X4 != create_slb )
=> ( ( removemin_cpq_res @ ( triple @ X2 @ X4 @ X6 ) )
= ( findmin_pqp_res @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl61]) ).
thf(zip_derived_cl267,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X4 != create_slb )
| ( ( removemin_cpq_res @ ( triple @ X2 @ X4 @ X6 ) )
= ( findmin_pqp_res @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl268,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X4 = create_slb )
| ( ( removemin_cpq_res @ ( triple @ X2 @ X4 @ X6 ) )
= ( findmin_pqp_res @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl267]) ).
thf(zip_derived_cl72_007,plain,
! [X2: $i] :
( ( removemin_cpq_eff @ X2 )
= ( remove_cpq @ ( findmin_cpq_eff @ X2 ) @ ( removemin_cpq_res @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl61]) ).
thf(zip_derived_cl269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = create_slb )
| ( ( removemin_cpq_eff @ ( triple @ X0 @ X2 @ X1 ) )
= ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X0 @ X2 @ X1 ) ) @ ( findmin_pqp_res @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl268,zip_derived_cl72]) ).
thf(zip_derived_cl1843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = create_slb )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb )
| ( ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_pqp_res @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl269]) ).
thf(zip_derived_cl1891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_pqp_res @ X2 ) ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl1843]) ).
thf(zip_derived_cl1891_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_pqp_res @ X2 ) ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl1843]) ).
thf(zip_derived_cl1891_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_pqp_res @ X2 ) ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl1843]) ).
thf(zip_derived_cl2481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = create_slb )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1891,zip_derived_cl1891]) ).
thf(zip_derived_cl2491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl2481]) ).
thf(zip_derived_cl211_010,plain,
check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl2508,plain,
! [X0: $i] :
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2491,zip_derived_cl211]) ).
thf(zip_derived_cl2572,plain,
! [X0: $i] :
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( check_cpq @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) @ ( findmin_pqp_res @ '#sk1' ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1891,zip_derived_cl2508]) ).
thf(zip_derived_cl2575,plain,
! [X0: $i] :
( ( check_cpq @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl2572]) ).
thf(zip_derived_cl2602,plain,
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( check_cpq @ ( remove_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl2575]) ).
thf(zip_derived_cl2607,plain,
( ( check_cpq @ ( remove_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl2602]) ).
thf(l40_l27,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( ok @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) )
& ( check_cpq @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) ) )
=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ).
thf(zip_derived_cl41,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( ok @ ( remove_cpq @ ( triple @ Y0 @ Y1 @ Y2 ) @ Y3 ) )
& ( check_cpq @ ( remove_cpq @ ( triple @ Y0 @ Y1 @ Y2 ) @ Y3 ) ) )
=> ( check_cpq @ ( triple @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[l40_l27]) ).
thf(zip_derived_cl373,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( ok @ ( remove_cpq @ ( triple @ X2 @ Y0 @ Y1 ) @ Y2 ) )
& ( check_cpq @ ( remove_cpq @ ( triple @ X2 @ Y0 @ Y1 ) @ Y2 ) ) )
=> ( check_cpq @ ( triple @ X2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl374,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( ok @ ( remove_cpq @ ( triple @ X2 @ X4 @ Y0 ) @ Y1 ) )
& ( check_cpq @ ( remove_cpq @ ( triple @ X2 @ X4 @ Y0 ) @ Y1 ) ) )
=> ( check_cpq @ ( triple @ X2 @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl373]) ).
thf(zip_derived_cl375,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( ok @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ Y0 ) )
& ( check_cpq @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ Y0 ) ) )
=> ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl374]) ).
thf(zip_derived_cl376,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( ok @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) )
& ( check_cpq @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) ) )
=> ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl375]) ).
thf(zip_derived_cl377,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( ok @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) )
& ( check_cpq @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) ) )
| ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl378,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ok @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) )
| ~ ( check_cpq @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) )
| ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl377]) ).
thf(zip_derived_cl2708,plain,
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ~ ( ok @ ( remove_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( check_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2607,zip_derived_cl378]) ).
thf(zip_derived_cl418_011,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl417]) ).
thf(zip_derived_cl1891_012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_pqp_res @ X2 ) ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl1843]) ).
thf(zip_derived_cl2491_013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X3 ) )
= ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ( X1 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl2481]) ).
thf(zip_derived_cl210_014,plain,
ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl2507,plain,
! [X0: $i] :
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2491,zip_derived_cl210]) ).
thf(zip_derived_cl2556,plain,
! [X0: $i] :
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( ok @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) @ ( findmin_pqp_res @ '#sk1' ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1891,zip_derived_cl2507]) ).
thf(zip_derived_cl2559,plain,
! [X0: $i] :
( ( ok @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl2556]) ).
thf(zip_derived_cl2579,plain,
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( ok @ ( remove_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl2559]) ).
thf(zip_derived_cl2584,plain,
( ( ok @ ( remove_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl2579]) ).
thf(zip_derived_cl2712,plain,
( ( check_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference(clc,[status(thm)],[zip_derived_cl2708,zip_derived_cl2584]) ).
thf(zip_derived_cl2713,plain,
! [X0: $i] :
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( check_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl2712]) ).
thf(zip_derived_cl2714,plain,
! [X0: $i] :
( ( check_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl2713]) ).
thf(l40_l34,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
=> ~ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ) ).
thf(zip_derived_cl42,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( check_cpq @ ( triple @ Y0 @ Y1 @ Y2 ) ) )
=> ( (~) @ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[l40_l34]) ).
thf(zip_derived_cl271,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( check_cpq @ ( triple @ X2 @ Y0 @ Y1 ) ) )
=> ( (~) @ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl272,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( check_cpq @ ( triple @ X2 @ X4 @ Y0 ) ) )
=> ( (~) @ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl271]) ).
thf(zip_derived_cl273,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( (~) @ ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) ) )
=> ( (~) @ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl272]) ).
thf(zip_derived_cl274,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) )
| ~ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl273]) ).
thf(zip_derived_cl2715,plain,
! [X0: $i] :
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2714,zip_derived_cl274]) ).
thf(zip_derived_cl137_015,plain,
! [X2: $i,X4: $i] :
( ( strictly_less_than @ X2 @ X4 )
| ( less_than @ X4 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl79]) ).
thf(ax49,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( V != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ W ) ) ) ).
thf(zip_derived_cl36,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( less_than @ ( lookup_slb @ Y1 @ ( findmin_pqp_res @ Y0 ) ) @ ( findmin_pqp_res @ Y0 ) )
& ( contains_slb @ Y1 @ ( findmin_pqp_res @ Y0 ) )
& ( Y1 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ Y0 @ Y1 @ Y2 ) )
= ( triple @ Y0 @ ( update_slb @ Y1 @ ( findmin_pqp_res @ Y0 ) ) @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax49]) ).
thf(zip_derived_cl474,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( less_than @ ( lookup_slb @ Y0 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
& ( contains_slb @ Y0 @ ( findmin_pqp_res @ X2 ) )
& ( Y0 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ Y0 @ Y1 ) )
= ( triple @ X2 @ ( update_slb @ Y0 @ ( findmin_pqp_res @ X2 ) ) @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl475,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( less_than @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ Y0 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl474]) ).
thf(zip_derived_cl476,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( less_than @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl475]) ).
thf(zip_derived_cl477,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( less_than @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
=> ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ X6 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl476]) ).
thf(zip_derived_cl478,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( less_than @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl479,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( less_than @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
& ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
& ( X4 != create_slb ) )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl478]) ).
thf(zip_derived_cl480,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( less_than @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
| ~ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 != create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl479]) ).
thf(zip_derived_cl481,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( less_than @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
| ~ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl480]) ).
thf(zip_derived_cl485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( strictly_less_than @ ( findmin_pqp_res @ X0 ) @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) )
| ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl481]) ).
thf(zip_derived_cl5025,plain,
! [X0: $i,X1: $i] :
( ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk2' = create_slb )
| ( strictly_less_than @ ( findmin_pqp_res @ '#sk1' ) @ ( lookup_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( '#sk2' = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2715,zip_derived_cl485]) ).
thf(zip_derived_cl5033,plain,
! [X0: $i,X1: $i] :
( ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X1 ) )
| ( strictly_less_than @ ( findmin_pqp_res @ '#sk1' ) @ ( lookup_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5025]) ).
thf(ax41,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) ).
thf(zip_derived_cl28,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( ok @ ( triple @ Y0 @ Y1 @ Y2 ) ) )
=> ( Y2 = bad ) ) ) ) ),
inference(cnf,[status(esa)],[ax41]) ).
thf(zip_derived_cl186,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( ok @ ( triple @ X2 @ Y0 @ Y1 ) ) )
=> ( Y1 = bad ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl187,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( ok @ ( triple @ X2 @ X4 @ Y0 ) ) )
=> ( Y0 = bad ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl188,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( (~) @ ( ok @ ( triple @ X2 @ X4 @ X6 ) ) )
=> ( X6 = bad ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl189,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ok @ ( triple @ X2 @ X4 @ X6 ) )
| ( X6 = bad ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl190,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ok @ ( triple @ X2 @ X4 @ X6 ) )
| ( X6 = bad ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl189]) ).
thf(zip_derived_cl16037,plain,
! [X0: $i,X1: $i] :
( ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X1 ) )
| ( '#sk2' = create_slb )
| ( strictly_less_than @ ( findmin_pqp_res @ '#sk1' ) @ ( lookup_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( X0 = bad ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5033,zip_derived_cl190]) ).
thf(zip_derived_cl496_016,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ bad ) )
| ( X4 = create_slb )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ X2 ) @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl495,zip_derived_cl418]) ).
thf(zip_derived_cl16784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = bad )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X1 ) )
| ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) )
| ( '#sk2' = create_slb ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16037,zip_derived_cl496]) ).
thf(zip_derived_cl16814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X1 ) )
| ( '#sk2' = create_slb )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( X0 = bad ) ),
inference(simplify,[status(thm)],[zip_derived_cl16784]) ).
thf(zip_derived_cl269_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = create_slb )
| ( ( removemin_cpq_eff @ ( triple @ X0 @ X2 @ X1 ) )
= ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X0 @ X2 @ X1 ) ) @ ( findmin_pqp_res @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl268,zip_derived_cl72]) ).
thf(zip_derived_cl17147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = bad )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) ) )
| ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ( '#sk2' = create_slb )
| ( ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
= ( remove_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) @ ( findmin_pqp_res @ '#sk1' ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16814,zip_derived_cl269]) ).
thf(zip_derived_cl17248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
= ( remove_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) @ ( findmin_pqp_res @ '#sk1' ) ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ( '#sk2' = create_slb )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) ) )
| ( X1 = bad ) ),
inference(simplify,[status(thm)],[zip_derived_cl17147]) ).
thf(zip_derived_cl378_018,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ok @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) )
| ~ ( check_cpq @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) )
| ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl377]) ).
thf(zip_derived_cl22589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = bad )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) ) )
| ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ~ ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ~ ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( check_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17248,zip_derived_cl378]) ).
thf(zip_derived_cl16814_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X1 ) )
| ( '#sk2' = create_slb )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( X0 = bad ) ),
inference(simplify,[status(thm)],[zip_derived_cl16784]) ).
thf(zip_derived_cl274_020,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) )
| ~ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl273]) ).
thf(zip_derived_cl17148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = bad )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) ) )
| ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ~ ( check_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16814,zip_derived_cl274]) ).
thf(zip_derived_cl17422,plain,
! [X0: $i,X1: $i] :
( ( X0 = bad )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( '#sk2' = create_slb )
| ~ ( check_cpq @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X1 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl17148]) ).
thf(zip_derived_cl26841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ~ ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ( '#sk2' = create_slb )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) ) )
| ( X1 = bad ) ),
inference(clc,[status(thm)],[zip_derived_cl22589,zip_derived_cl17422]) ).
thf(zip_derived_cl26842,plain,
! [X0: $i,X1: $i] :
( ~ ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk2' = create_slb )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) ) )
| ( X1 = bad ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl26841]) ).
thf(zip_derived_cl210_021,plain,
ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl26852,plain,
! [X0: $i,X1: $i] :
( ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk2' = create_slb )
| ( ok @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X1 ) ) )
| ( X1 = bad ) ),
inference(demod,[status(thm)],[zip_derived_cl26842,zip_derived_cl210]) ).
thf(zip_derived_cl30836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( '#sk2' = create_slb )
| ( strictly_less_than @ X1 @ ( findmin_pqp_res @ '#sk1' ) )
| ( less_than @ ( lookup_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X1 )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ( '#sk2' = create_slb )
| ( ok @ ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ bad ) )
| ( X0 = bad ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1218,zip_derived_cl26852]) ).
thf(ax40,axiom,
! [U: $i,V: $i] :
~ ( ok @ ( triple @ U @ V @ bad ) ) ).
thf(zip_derived_cl27,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( (~) @ ( ok @ ( triple @ Y0 @ Y1 @ bad ) ) ) ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl68,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( (~) @ ( ok @ ( triple @ X2 @ Y0 @ bad ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl69,plain,
! [X2: $i,X4: $i] :
~ ( ok @ ( triple @ X2 @ X4 @ bad ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl31001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( '#sk2' = create_slb )
| ( strictly_less_than @ X1 @ ( findmin_pqp_res @ '#sk1' ) )
| ( less_than @ ( lookup_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X1 )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ( '#sk2' = create_slb )
| ( X0 = bad ) ),
inference(demod,[status(thm)],[zip_derived_cl30836,zip_derived_cl69]) ).
thf(zip_derived_cl31002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = bad )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ( less_than @ ( lookup_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X1 )
| ( strictly_less_than @ X1 @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl31001]) ).
thf(zip_derived_cl481_022,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( less_than @ ( lookup_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
| ~ ( contains_slb @ X4 @ ( findmin_pqp_res @ X2 ) )
| ( X4 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) )
= ( triple @ X2 @ ( update_slb @ X4 @ ( findmin_pqp_res @ X2 ) ) @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl480]) ).
thf(zip_derived_cl32987,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( '#sk2' = create_slb )
| ( strictly_less_than @ ( findmin_pqp_res @ '#sk1' ) @ ( findmin_pqp_res @ '#sk1' ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( X1 = bad )
| ~ ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31002,zip_derived_cl481]) ).
thf(reflexivity,axiom,
! [U: $i] : ( less_than @ U @ U ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] : ( less_than @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl44,plain,
! [X2: $i] : ( less_than @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl123_023,plain,
! [X2: $i,X4: $i] :
( ( strictly_less_than @ X2 @ X4 )
= ( ( (~) @ ( less_than @ X4 @ X2 ) )
& ( less_than @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl124,plain,
! [X0: $i] :
( ( strictly_less_than @ X0 @ X0 )
= ( ( (~) @ $true )
& $true ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl123]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
~ ( strictly_less_than @ X0 @ X0 ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl33489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( X1 = bad )
| ~ ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( '#sk2' = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32987,zip_derived_cl132]) ).
thf(zip_derived_cl33490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X2 ) )
| ~ ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( X1 = bad )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk2' = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl33489]) ).
thf(zip_derived_cl2715_024,plain,
! [X0: $i] :
( ( '#sk2' = create_slb )
| ( contains_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2714,zip_derived_cl274]) ).
thf(zip_derived_cl33534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( X1 = bad )
| ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl33490,zip_derived_cl2715]) ).
thf(ax36,axiom,
! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ) ).
thf(zip_derived_cl23,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( check_cpq @ ( triple @ Y0 @ create_slb @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl66,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( check_cpq @ ( triple @ X2 @ create_slb @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl67,plain,
! [X2: $i,X4: $i] : ( check_cpq @ ( triple @ X2 @ create_slb @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl34962,plain,
! [X2: $i,X3: $i] :
( ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X2 ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X3 ) )
| ( '#sk2' = create_slb )
| ( check_cpq @ bad ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33534,zip_derived_cl67]) ).
thf(zip_derived_cl33534_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( X1 = bad )
| ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl33490,zip_derived_cl2715]) ).
thf(zip_derived_cl274_026,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) )
| ~ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl273]) ).
thf(zip_derived_cl34663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X3 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X3 ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X4 ) )
| ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ X2 @ X1 @ X0 ) )
| ~ ( check_cpq @ bad ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33534,zip_derived_cl274]) ).
thf(zip_derived_cl40370,plain,
! [X0: $i,X1: $i] :
( ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X0 ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X1 ) )
| ( '#sk2' = create_slb )
| ~ ( check_cpq @ bad ) ),
inference(condensation,[status(thm)],[zip_derived_cl34663]) ).
thf(zip_derived_cl44863,plain,
! [X2: $i,X3: $i] :
( ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X3 ) )
| ( ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
= ( triple @ '#sk1' @ ( update_slb @ '#sk2' @ ( findmin_pqp_res @ '#sk1' ) ) @ X2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl34962,zip_derived_cl40370]) ).
thf(zip_derived_cl378_027,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ok @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) )
| ~ ( check_cpq @ ( remove_cpq @ ( triple @ X2 @ X4 @ X6 ) @ X8 ) )
| ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl377]) ).
thf(zip_derived_cl44871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X2 ) )
| ( '#sk2' = create_slb )
| ~ ( ok @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) @ X1 ) )
| ~ ( check_cpq @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) @ X1 ) )
| ( check_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44863,zip_derived_cl378]) ).
thf(zip_derived_cl46376,plain,
! [X0: $i,X1: $i] :
( ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X1 ) )
| ( '#sk2' = create_slb )
| ~ ( ok @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ~ ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) )
| ( check_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl44871]) ).
thf(zip_derived_cl46405,plain,
! [X0: $i] :
( ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk2' = create_slb )
| ~ ( check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) )
| ( check_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl210,zip_derived_cl46376]) ).
thf(zip_derived_cl211_028,plain,
check_cpq @ ( removemin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl46418,plain,
! [X0: $i] :
( ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk2' = create_slb )
| ( check_cpq @ ( findmin_cpq_eff @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46405,zip_derived_cl211]) ).
thf(zip_derived_cl274_029,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( check_cpq @ ( triple @ X2 @ X4 @ X6 ) )
| ~ ( check_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl273]) ).
thf(zip_derived_cl46434,plain,
! [X0: $i] :
( ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ X0 ) )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46418,zip_derived_cl274]) ).
thf(zip_derived_cl46445,plain,
( ( '#sk2' = create_slb )
| ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl46434]) ).
thf(zip_derived_cl209_030,plain,
~ ( check_cpq @ ( triple @ '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl46446,plain,
'#sk2' = create_slb,
inference(clc,[status(thm)],[zip_derived_cl46445,zip_derived_cl209]) ).
thf(zip_derived_cl67_031,plain,
! [X2: $i,X4: $i] : ( check_cpq @ ( triple @ X2 @ create_slb @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl46447,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl46446,zip_derived_cl67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV404+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OLhL0NZklf true
% 0.14/0.35 % Computer : n031.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 : Tue Aug 29 07:56:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.03/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.03/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 82.85/12.59 % Solved by fo/fo1_lcnf.sh.
% 82.85/12.59 % done 3571 iterations in 11.736s
% 82.85/12.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.85/12.59 % SZS output start Refutation
% See solution above
% 82.85/12.59
% 82.85/12.59
% 82.85/12.59 % Terminating...
% 83.46/12.69 % Runner terminated.
% 83.46/12.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------