%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV374+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:57:31 AM UTC 2026
% Result : Theorem 6.42s 1.36s
% Output : CNFRefutation 6.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 864 ( 512 unt; 0 typ; 0 def)
% Number of atoms : 5043 (2105 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 12605 (2154 ~;1363 |; 64 &;8928 @)
% ( 25 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 8 con; 0-3 aty)
% Number of variables : 2669 ( 0 ^;2669 !; 0 ?;2669 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_bad,type,
bad: $i ).
thf(tp_bottom,type,
bottom: $i ).
thf(tp_check_cpq,type,
check_cpq: $i > $o ).
thf(tp_contains_cpq,type,
contains_cpq: $i > $i > $o ).
thf(tp_contains_slb,type,
contains_slb: $i > $i > $o ).
thf(tp_create_slb,type,
create_slb: $i ).
thf(tp_findmin_cpq_eff,type,
findmin_cpq_eff: $i > $i ).
thf(tp_findmin_cpq_res,type,
findmin_cpq_res: $i > $i ).
thf(tp_findmin_pqp_res,type,
findmin_pqp_res: $i > $i ).
thf(tp_insert_cpq,type,
insert_cpq: $i > $i > $i ).
thf(tp_insert_pqp,type,
insert_pqp: $i > $i > $i ).
thf(tp_insert_slb,type,
insert_slb: $i > $i > $i ).
thf(tp_isnonempty_slb,type,
isnonempty_slb: $i > $o ).
thf(tp_less_than,type,
less_than: $i > $i > $o ).
thf(tp_lookup_slb,type,
lookup_slb: $i > $i > $i ).
thf(tp_ok,type,
ok: $i > $o ).
thf(tp_pair,type,
pair: $i > $i > $i ).
thf(tp_pair_in_list,type,
pair_in_list: $i > $i > $i > $o ).
thf(tp_remove_cpq,type,
remove_cpq: $i > $i > $i ).
thf(tp_remove_pqp,type,
remove_pqp: $i > $i > $i ).
thf(tp_remove_slb,type,
remove_slb: $i > $i > $i ).
thf(tp_removemin_cpq_eff,type,
removemin_cpq_eff: $i > $i ).
thf(tp_removemin_cpq_res,type,
removemin_cpq_res: $i > $i ).
thf(tp_sK1_U,type,
sK1_U: $i ).
thf(tp_sK2_SY82,type,
sK2_SY82: $i ).
thf(tp_sK3_SY84,type,
sK3_SY84: $i ).
thf(tp_strictly_less_than,type,
strictly_less_than: $i > $i > $o ).
thf(tp_succ_cpq,type,
succ_cpq: $i > $i > $o ).
thf(tp_triple,type,
triple: $i > $i > $i > $i ).
thf(tp_update_slb,type,
update_slb: $i > $i > $i ).
thf(2,axiom,
! [U: $i] :
( ( removemin_cpq_eff @ U )
= ( remove_cpq @ ( findmin_cpq_eff @ U ) @ ( findmin_cpq_res @ U ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(3,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( V != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pqp_res @ U ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(4,axiom,
! [U: $i,V: $i] :
( ( findmin_cpq_res @ ( triple @ U @ create_slb @ V ) )
= bottom ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(5,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(6,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( strictly_less_than @ ( findmin_pqp_res @ U ) @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(7,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(8,axiom,
! [U: $i,V: $i] :
( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
= ( triple @ U @ create_slb @ bad ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(10,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( less_than @ ( lookup_slb @ V @ X ) @ X ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(11,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( contains_slb @ V @ X )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ U @ V @ bad ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(13,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(14,axiom,
! [U: $i,V: $i] :
( ( ok @ ( triple @ U @ V @ bad ) )
<=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(15,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(17,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( less_than @ Y @ X )
=> ( ( check_cpq @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
<=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(18,axiom,
! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(20,axiom,
! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( findmin_cpq_eff @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(24,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( less_than @ W @ X )
=> ( ( update_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( update_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(26,axiom,
! [U: $i] :
( ( update_slb @ create_slb @ U )
= create_slb ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(27,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( lookup_slb @ U @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(28,axiom,
! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(29,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( remove_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(32,axiom,
! [U: $i,V: $i] :
~ ( pair_in_list @ create_slb @ U @ V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(33,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(34,axiom,
! [U: $i] :
~ ( contains_slb @ create_slb @ U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(36,axiom,
~ ( isnonempty_slb @ create_slb ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(37,axiom,
! [U: $i] : ( less_than @ bottom @ U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bottom_smallest) ).
thf(38,axiom,
! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricly_smaller_definition) ).
thf(39,axiom,
! [U: $i] : ( less_than @ U @ U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
thf(40,axiom,
! [U: $i,V: $i] :
( ( less_than @ U @ V )
| ( less_than @ V @ U ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
thf(41,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( less_than @ U @ V )
& ( less_than @ V @ W ) )
=> ( less_than @ U @ W ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
thf(42,conjecture,
! [U: $i,V: $i,W: $i] :
( ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
=> ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10_co) ).
thf(43,negated_conjecture,
( ( ! [U: $i,V: $i,W: $i] :
( ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
=> ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[42]) ).
thf(44,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
=> ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[43]) ).
thf(45,plain,
( ( ! [U: $i] :
( ( removemin_cpq_eff @ U )
= ( remove_cpq @ ( findmin_cpq_eff @ U ) @ ( findmin_cpq_res @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(46,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( V != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pqp_res @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(47,plain,
( ( ! [U: $i,V: $i] :
( ( findmin_cpq_res @ ( triple @ U @ create_slb @ V ) )
= bottom ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(48,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(49,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( strictly_less_than @ ( findmin_pqp_res @ U ) @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(50,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(51,plain,
( ( ! [U: $i,V: $i] :
( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
= ( triple @ U @ create_slb @ bad ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(52,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( less_than @ ( lookup_slb @ V @ X ) @ X ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(53,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( contains_slb @ V @ X )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ U @ V @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(54,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(55,plain,
( ( ! [U: $i,V: $i] :
( ( ok @ ( triple @ U @ V @ bad ) )
<=> $false ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(56,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(57,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( less_than @ Y @ X )
=> ( ( check_cpq @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
<=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(58,plain,
( ( ! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(59,plain,
( ( ! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( findmin_cpq_eff @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(60,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( less_than @ W @ X )
=> ( ( update_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( update_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(61,plain,
( ( ! [U: $i] :
( ( update_slb @ create_slb @ U )
= create_slb ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(62,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( lookup_slb @ U @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(63,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(64,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( remove_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(65,plain,
( ( ! [U: $i,V: $i] :
~ ( pair_in_list @ create_slb @ U @ V ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(66,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(67,plain,
( ( ! [U: $i] :
~ ( contains_slb @ create_slb @ U ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(68,plain,
( ( ~ ( isnonempty_slb @ create_slb ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(69,plain,
( ( ! [U: $i] : ( less_than @ bottom @ U ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(70,plain,
( ( ! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(71,plain,
( ( ! [U: $i] : ( less_than @ U @ U ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(72,plain,
( ( ! [U: $i,V: $i] :
( ( less_than @ U @ V )
| ( less_than @ V @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(73,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( less_than @ U @ V )
& ( less_than @ V @ W ) )
=> ( less_than @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(74,plain,
( ( ! [SY82: $i,SY83: $i] :
( ( ok @ ( findmin_cpq_eff @ ( triple @ sK1_U @ SY82 @ SY83 ) ) )
=> ( ( SY82 != create_slb )
& ( contains_slb @ SY82 @ ( findmin_pqp_res @ sK1_U ) )
& ( less_than @ ( lookup_slb @ SY82 @ ( findmin_pqp_res @ sK1_U ) ) @ ( findmin_pqp_res @ sK1_U ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(75,plain,
( ( ! [SY84: $i] :
( ( ok @ ( findmin_cpq_eff @ ( triple @ sK1_U @ sK2_SY82 @ SY84 ) ) )
=> ( ( sK2_SY82 != create_slb )
& ( contains_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) )
& ( less_than @ ( lookup_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) @ ( findmin_pqp_res @ sK1_U ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[74]) ).
thf(76,plain,
( ( ( ok @ ( findmin_cpq_eff @ ( triple @ sK1_U @ sK2_SY82 @ sK3_SY84 ) ) )
=> ( ( sK2_SY82 != create_slb )
& ( contains_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) )
& ( less_than @ ( lookup_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) @ ( findmin_pqp_res @ sK1_U ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(77,plain,
( ( ok @ ( findmin_cpq_eff @ ( triple @ sK1_U @ sK2_SY82 @ sK3_SY84 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[76]) ).
thf(78,plain,
( ( ( sK2_SY82 != create_slb )
& ( contains_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) )
& ( less_than @ ( lookup_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) @ ( findmin_pqp_res @ sK1_U ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[76]) ).
thf(79,plain,
( ( sK2_SY82 != create_slb )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[78]) ).
thf(80,plain,
( ( contains_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[78]) ).
thf(81,plain,
( ( less_than @ ( lookup_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) @ ( findmin_pqp_res @ sK1_U ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[78]) ).
thf(82,plain,
( ( ~ ( ( sK2_SY82 != create_slb ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[79]) ).
thf(83,plain,
( ( ~ ( contains_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[80]) ).
thf(84,plain,
( ( ~ ( less_than @ ( lookup_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) @ ( findmin_pqp_res @ sK1_U ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[81]) ).
thf(85,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( less_than @ U @ V )
& ( less_than @ V @ W ) )
=> ( less_than @ U @ W ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(86,plain,
( ( ! [U: $i,V: $i] :
( ( less_than @ U @ V )
| ( less_than @ V @ U ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(87,plain,
( ( ! [U: $i] : ( less_than @ U @ U ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(88,plain,
( ( ! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(89,plain,
( ( ! [U: $i] : ( less_than @ bottom @ U ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(90,plain,
( ( ~ ( isnonempty_slb @ create_slb ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(91,plain,
( ( ! [U: $i] :
~ ( contains_slb @ create_slb @ U ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(92,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(93,plain,
( ( ! [U: $i,V: $i] :
~ ( pair_in_list @ create_slb @ U @ V ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(94,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( remove_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(95,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(96,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( lookup_slb @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(97,plain,
( ( ! [U: $i] :
( ( update_slb @ create_slb @ U )
= create_slb ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(98,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( less_than @ W @ X )
=> ( ( update_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( update_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(99,plain,
( ( ! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( findmin_cpq_eff @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(100,plain,
( ( ! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(101,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( less_than @ Y @ X )
=> ( ( check_cpq @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
<=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(102,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(103,plain,
( ( ! [U: $i,V: $i] :
( ( ok @ ( triple @ U @ V @ bad ) )
<=> $false ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(104,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(105,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( contains_slb @ V @ X )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ U @ V @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(106,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( less_than @ ( lookup_slb @ V @ X ) @ X ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(107,plain,
( ( ! [U: $i,V: $i] :
( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
= ( triple @ U @ create_slb @ bad ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(108,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(109,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( strictly_less_than @ ( findmin_pqp_res @ U ) @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(110,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(111,plain,
( ( ! [U: $i,V: $i] :
( ( findmin_cpq_res @ ( triple @ U @ create_slb @ V ) )
= bottom ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(112,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( V != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pqp_res @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(113,plain,
( ( ! [U: $i] :
( ( removemin_cpq_eff @ U )
= ( remove_cpq @ ( findmin_cpq_eff @ U ) @ ( findmin_cpq_res @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(114,plain,
( ( ok @ ( findmin_cpq_eff @ ( triple @ sK1_U @ sK2_SY82 @ sK3_SY84 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(115,plain,
( ( ~ ( ( sK2_SY82 != create_slb ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(116,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( strictly_less_than @ SX0 @ SX1 )
| ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ~ ( less_than @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ~ ( less_than @ SX1 @ SX0 ) )
| ( strictly_less_than @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(117,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
| ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ( ~ ( ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(118,plain,
( ( ~ ( ( sK2_SY82 != create_slb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(119,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( succ_cpq @ SX0 @ SX1 )
| ( succ_cpq @ SX0 @ ( findmin_cpq_eff @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(120,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ( SX1 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( findmin_pqp_res @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(121,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ~ ( less_than @ ( lookup_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ ( findmin_pqp_res @ SX0 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(122,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( contains_slb @ SX1 @ SX3 )
| ( ( remove_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( triple @ SX0 @ SX1 @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(123,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( less_than @ SX2 @ SX3 )
| ( ( update_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( insert_slb @ ( update_slb @ SX0 @ SX2 ) @ ( pair @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(124,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ( less_than @ SX1 @ SX2 ) )
| ( less_than @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(125,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SX0 ) @ ( lookup_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(126,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != SX2 ) )
| ~ ( contains_slb @ SX0 @ SX2 ) )
| ( ( remove_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( insert_slb @ ( remove_slb @ SX0 @ SX2 ) @ ( pair @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(127,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != SX2 ) )
| ~ ( contains_slb @ SX0 @ SX2 ) )
| ( ( lookup_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( lookup_slb @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(128,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( less_than @ SX4 @ SX3 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ ( insert_slb @ SX1 @ ( pair @ SX3 @ SX4 ) ) @ SX2 ) )
| ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ( check_cpq @ ( triple @ SX0 @ ( insert_slb @ SX1 @ ( pair @ SX3 @ SX4 ) ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(129,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( contains_slb @ SX1 @ SX3 )
| ~ ( less_than @ ( lookup_slb @ SX1 @ SX3 ) @ SX3 ) )
| ( ( remove_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( triple @ ( remove_pqp @ SX0 @ SX3 ) @ ( remove_slb @ SX1 @ SX3 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(130,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ( contains_slb @ SX1 @ SX3 ) )
| ~ ( ~ ( contains_slb @ SX1 @ SX3 )
| ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(131,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ok @ ( triple @ SX0 @ SX1 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SX0 @ SX1 @ bad ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(132,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ( SX2 = bad ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(133,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(134,plain,
! [SV1: $i] :
( ( ! [SY85: $i] :
( ( less_than @ SV1 @ SY85 )
| ( less_than @ SY85 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(135,plain,
! [SV2: $i] :
( ( less_than @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(136,plain,
! [SV3: $i] :
( ( less_than @ bottom @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(137,plain,
( ( isnonempty_slb @ create_slb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(138,plain,
! [SV4: $i] :
( ( ~ ( contains_slb @ create_slb @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(139,plain,
! [SV5: $i] :
( ( ! [SY86: $i] :
~ ( pair_in_list @ create_slb @ SV5 @ SY86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(140,plain,
! [SV6: $i] :
( ( ! [SY87: $i,SY88: $i] :
( ( lookup_slb @ ( insert_slb @ SV6 @ ( pair @ SY87 @ SY88 ) ) @ SY87 )
= SY88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(141,plain,
! [SV7: $i] :
( ( ( update_slb @ create_slb @ SV7 )
= create_slb )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(142,plain,
! [SV8: $i] :
( ( ! [SY89: $i] : ( check_cpq @ ( triple @ SV8 @ create_slb @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(143,plain,
! [SV9: $i] :
( ( ! [SY90: $i] :
( ( findmin_cpq_eff @ ( triple @ SV9 @ create_slb @ SY90 ) )
= ( triple @ SV9 @ create_slb @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(144,plain,
! [SV10: $i] :
( ( ! [SY91: $i] :
( ( findmin_cpq_res @ ( triple @ SV10 @ create_slb @ SY91 ) )
= bottom ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(145,plain,
! [SV11: $i] :
( ( ( removemin_cpq_eff @ SV11 )
= ( remove_cpq @ ( findmin_cpq_eff @ SV11 ) @ ( findmin_cpq_res @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(146,plain,
! [SV12: $i] :
( ( ! [SY92: $i] :
~ ( ~ ( ~ ( strictly_less_than @ SV12 @ SY92 )
| ~ ( ~ ( less_than @ SV12 @ SY92 )
| ~ ~ ( less_than @ SY92 @ SV12 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV12 @ SY92 )
| ~ ~ ( less_than @ SY92 @ SV12 ) )
| ( strictly_less_than @ SV12 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(147,plain,
! [SV13: $i] :
( ( ! [SY93: $i,SY94: $i,SY95: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SY93 @ SY95 ) ) @ SY94 )
| ( contains_slb @ SV13 @ SY94 )
| ( SY93 = SY94 ) )
| ~ ( ~ ( ( contains_slb @ SV13 @ SY94 )
| ( SY93 = SY94 ) )
| ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SY93 @ SY95 ) ) @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(148,plain,
( ( sK2_SY82 != create_slb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(149,plain,
! [SV14: $i] :
( ( ! [SY96: $i] :
( ~ ( succ_cpq @ SV14 @ SY96 )
| ( succ_cpq @ SV14 @ ( findmin_cpq_eff @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(150,plain,
! [SV15: $i] :
( ( ! [SY97: $i,SY98: $i,SY99: $i] :
( ~ ( ( SY97 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV15 @ SY97 @ SY98 ) )
= ( findmin_pqp_res @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(151,plain,
! [SV16: $i] :
( ( ! [SY100: $i,SY101: $i,SY102: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SY100 != create_slb ) )
| ~ ( contains_slb @ SY100 @ ( findmin_pqp_res @ SV16 ) ) )
| ~ ( less_than @ ( lookup_slb @ SY100 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV16 @ SY100 @ SY101 ) )
= ( triple @ SV16 @ ( update_slb @ SY100 @ ( findmin_pqp_res @ SV16 ) ) @ SY101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(152,plain,
! [SV17: $i] :
( ( ! [SY103: $i,SY104: $i,SY105: $i] :
( ~ ~ ( contains_slb @ SY103 @ SY105 )
| ( ( remove_cpq @ ( triple @ SV17 @ SY103 @ SY104 ) @ SY105 )
= ( triple @ SV17 @ SY103 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(153,plain,
! [SV18: $i] :
( ( ! [SY106: $i,SY107: $i,SY108: $i] :
( ~ ( less_than @ SY107 @ SY108 )
| ( ( update_slb @ ( insert_slb @ SV18 @ ( pair @ SY106 @ SY108 ) ) @ SY107 )
= ( insert_slb @ ( update_slb @ SV18 @ SY107 ) @ ( pair @ SY106 @ SY108 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(154,plain,
! [SV19: $i] :
( ( ! [SY109: $i,SY110: $i] :
( ~ ~ ( ~ ( less_than @ SV19 @ SY109 )
| ~ ( less_than @ SY109 @ SY110 ) )
| ( less_than @ SV19 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(155,plain,
! [SV20: $i] :
( ( ! [SY111: $i,SY112: $i,SY113: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SY111 != create_slb ) )
| ~ ( contains_slb @ SY111 @ ( findmin_pqp_res @ SV20 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SY111 @ ( findmin_pqp_res @ SV20 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV20 @ SY111 @ SY112 ) )
= ( triple @ SV20 @ ( update_slb @ SY111 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(156,plain,
! [SV21: $i] :
( ( ! [SY114: $i,SY115: $i,SY116: $i] :
( ~ ~ ( ~ ( ( SY114 != SY115 ) )
| ~ ( contains_slb @ SV21 @ SY115 ) )
| ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SY114 @ SY116 ) ) @ SY115 )
= ( insert_slb @ ( remove_slb @ SV21 @ SY115 ) @ ( pair @ SY114 @ SY116 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(157,plain,
! [SV22: $i] :
( ( ! [SY117: $i,SY118: $i,SY119: $i] :
( ~ ~ ( ~ ( ( SY117 != SY118 ) )
| ~ ( contains_slb @ SV22 @ SY118 ) )
| ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SY117 @ SY119 ) ) @ SY118 )
= ( lookup_slb @ SV22 @ SY118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(158,plain,
! [SV23: $i] :
( ( ! [SY120: $i,SY121: $i,SY122: $i,SY123: $i] :
( ~ ( less_than @ SY123 @ SY122 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SY120 @ ( pair @ SY122 @ SY123 ) ) @ SY121 ) )
| ( check_cpq @ ( triple @ SV23 @ SY120 @ SY121 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SY120 @ SY121 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SY120 @ ( pair @ SY122 @ SY123 ) ) @ SY121 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(159,plain,
! [SV24: $i] :
( ( ! [SY124: $i,SY125: $i,SY126: $i] :
( ~ ~ ( ~ ( contains_slb @ SY124 @ SY126 )
| ~ ( less_than @ ( lookup_slb @ SY124 @ SY126 ) @ SY126 ) )
| ( ( remove_cpq @ ( triple @ SV24 @ SY124 @ SY125 ) @ SY126 )
= ( triple @ ( remove_pqp @ SV24 @ SY126 ) @ ( remove_slb @ SY124 @ SY126 ) @ SY125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(160,plain,
! [SV25: $i] :
( ( ! [SY127: $i,SY128: $i,SY129: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV25 @ SY127 @ SY128 ) @ SY129 )
| ( contains_slb @ SY127 @ SY129 ) )
| ~ ( ~ ( contains_slb @ SY127 @ SY129 )
| ( contains_cpq @ ( triple @ SV25 @ SY127 @ SY128 ) @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(161,plain,
! [SV26: $i] :
( ( ! [SY130: $i] :
~ ( ~ ( ~ ( ok @ ( triple @ SV26 @ SY130 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV26 @ SY130 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(162,plain,
! [SV27: $i] :
( ( ! [SY131: $i,SY132: $i] :
( ~ ~ ( ok @ ( triple @ SV27 @ SY131 @ SY132 ) )
| ( SY132 = bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(163,plain,
! [SV28: $i] :
( ( ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ( ( SY133 != create_slb ) )
| ~ ~ ( contains_slb @ SY133 @ ( findmin_pqp_res @ SV28 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV28 @ SY133 @ SY134 ) )
= ( triple @ SV28 @ ( update_slb @ SY133 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(164,plain,
! [SV29: $i,SV1: $i] :
( ( ( less_than @ SV1 @ SV29 )
| ( less_than @ SV29 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(165,plain,
! [SV4: $i] :
( ( contains_slb @ create_slb @ SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(166,plain,
! [SV30: $i,SV5: $i] :
( ( ~ ( pair_in_list @ create_slb @ SV5 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(167,plain,
! [SV31: $i,SV6: $i] :
( ( ! [SY136: $i] :
( ( lookup_slb @ ( insert_slb @ SV6 @ ( pair @ SV31 @ SY136 ) ) @ SV31 )
= SY136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(168,plain,
! [SV32: $i,SV8: $i] :
( ( check_cpq @ ( triple @ SV8 @ create_slb @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(169,plain,
! [SV33: $i,SV9: $i] :
( ( ( findmin_cpq_eff @ ( triple @ SV9 @ create_slb @ SV33 ) )
= ( triple @ SV9 @ create_slb @ bad ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(170,plain,
! [SV34: $i,SV10: $i] :
( ( ( findmin_cpq_res @ ( triple @ SV10 @ create_slb @ SV34 ) )
= bottom )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(171,plain,
! [SV35: $i,SV12: $i] :
( ( ~ ( ~ ( ~ ( strictly_less_than @ SV12 @ SV35 )
| ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) )
| ( strictly_less_than @ SV12 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(172,plain,
! [SV36: $i,SV13: $i] :
( ( ! [SY137: $i,SY138: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SY138 ) ) @ SY137 )
| ( contains_slb @ SV13 @ SY137 )
| ( SV36 = SY137 ) )
| ~ ( ~ ( ( contains_slb @ SV13 @ SY137 )
| ( SV36 = SY137 ) )
| ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SY138 ) ) @ SY137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(173,plain,
( ( sK2_SY82 = create_slb )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(174,plain,
! [SV37: $i,SV14: $i] :
( ( ~ ( succ_cpq @ SV14 @ SV37 )
| ( succ_cpq @ SV14 @ ( findmin_cpq_eff @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(175,plain,
! [SV15: $i,SV38: $i] :
( ( ! [SY139: $i,SY140: $i] :
( ~ ( ( SV38 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV15 @ SV38 @ SY139 ) )
= ( findmin_pqp_res @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(176,plain,
! [SV16: $i,SV39: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SY141 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SY141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(177,plain,
! [SV17: $i,SV40: $i] :
( ( ! [SY143: $i,SY144: $i] :
( ~ ~ ( contains_slb @ SV40 @ SY144 )
| ( ( remove_cpq @ ( triple @ SV17 @ SV40 @ SY143 ) @ SY144 )
= ( triple @ SV17 @ SV40 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(178,plain,
! [SV41: $i,SV18: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ( less_than @ SY145 @ SY146 )
| ( ( update_slb @ ( insert_slb @ SV18 @ ( pair @ SV41 @ SY146 ) ) @ SY145 )
= ( insert_slb @ ( update_slb @ SV18 @ SY145 ) @ ( pair @ SV41 @ SY146 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(179,plain,
! [SV42: $i,SV19: $i] :
( ( ! [SY147: $i] :
( ~ ~ ( ~ ( less_than @ SV19 @ SV42 )
| ~ ( less_than @ SV42 @ SY147 ) )
| ( less_than @ SV19 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(180,plain,
! [SV20: $i,SV43: $i] :
( ( ! [SY148: $i,SY149: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SY148 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(181,plain,
! [SV21: $i,SV44: $i] :
( ( ! [SY150: $i,SY151: $i] :
( ~ ~ ( ~ ( ( SV44 != SY150 ) )
| ~ ( contains_slb @ SV21 @ SY150 ) )
| ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SY151 ) ) @ SY150 )
= ( insert_slb @ ( remove_slb @ SV21 @ SY150 ) @ ( pair @ SV44 @ SY151 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(182,plain,
! [SV22: $i,SV45: $i] :
( ( ! [SY152: $i,SY153: $i] :
( ~ ~ ( ~ ( ( SV45 != SY152 ) )
| ~ ( contains_slb @ SV22 @ SY152 ) )
| ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SY153 ) ) @ SY152 )
= ( lookup_slb @ SV22 @ SY152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(183,plain,
! [SV46: $i,SV23: $i] :
( ( ! [SY154: $i,SY155: $i,SY156: $i] :
( ~ ( less_than @ SY156 @ SY155 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SY155 @ SY156 ) ) @ SY154 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SY154 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SY154 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SY155 @ SY156 ) ) @ SY154 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(184,plain,
! [SV24: $i,SV47: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ~ ~ ( ~ ( contains_slb @ SV47 @ SY158 )
| ~ ( less_than @ ( lookup_slb @ SV47 @ SY158 ) @ SY158 ) )
| ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SY157 ) @ SY158 )
= ( triple @ ( remove_pqp @ SV24 @ SY158 ) @ ( remove_slb @ SV47 @ SY158 ) @ SY157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(185,plain,
! [SV48: $i,SV25: $i] :
( ( ! [SY159: $i,SY160: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV25 @ SV48 @ SY159 ) @ SY160 )
| ( contains_slb @ SV48 @ SY160 ) )
| ~ ( ~ ( contains_slb @ SV48 @ SY160 )
| ( contains_cpq @ ( triple @ SV25 @ SV48 @ SY159 ) @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(186,plain,
! [SV49: $i,SV26: $i] :
( ( ~ ( ~ ( ~ ( ok @ ( triple @ SV26 @ SV49 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV26 @ SV49 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(187,plain,
! [SV50: $i,SV27: $i] :
( ( ! [SY161: $i] :
( ~ ~ ( ok @ ( triple @ SV27 @ SV50 @ SY161 ) )
| ( SY161 = bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(188,plain,
! [SV28: $i,SV51: $i] :
( ( ! [SY162: $i,SY163: $i] :
( ~ ~ ( ~ ( ( SV51 != create_slb ) )
| ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SY162 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(189,plain,
! [SV29: $i,SV1: $i] :
( ( ( less_than @ SV1 @ SV29 )
= $true )
| ( ( less_than @ SV29 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(190,plain,
! [SV30: $i,SV5: $i] :
( ( pair_in_list @ create_slb @ SV5 @ SV30 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(191,plain,
! [SV52: $i,SV31: $i,SV6: $i] :
( ( ( lookup_slb @ ( insert_slb @ SV6 @ ( pair @ SV31 @ SV52 ) ) @ SV31 )
= SV52 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(192,plain,
! [SV35: $i,SV12: $i] :
( ( ~ ( ~ ( strictly_less_than @ SV12 @ SV35 )
| ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) )
| ( strictly_less_than @ SV12 @ SV35 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(193,plain,
! [SV53: $i,SV36: $i,SV13: $i] :
( ( ! [SY164: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SY164 ) ) @ SV53 )
| ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
| ~ ( ~ ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
| ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SY164 ) ) @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(194,plain,
! [SV37: $i,SV14: $i] :
( ( ( ~ ( succ_cpq @ SV14 @ SV37 ) )
= $true )
| ( ( succ_cpq @ SV14 @ ( findmin_cpq_eff @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(195,plain,
! [SV54: $i,SV15: $i,SV38: $i] :
( ( ! [SY165: $i] :
( ~ ( ( SV38 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV15 @ SV38 @ SV54 ) )
= ( findmin_pqp_res @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(196,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(197,plain,
! [SV56: $i,SV17: $i,SV40: $i] :
( ( ! [SY167: $i] :
( ~ ~ ( contains_slb @ SV40 @ SY167 )
| ( ( remove_cpq @ ( triple @ SV17 @ SV40 @ SV56 ) @ SY167 )
= ( triple @ SV17 @ SV40 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(198,plain,
! [SV41: $i,SV18: $i,SV57: $i] :
( ( ! [SY168: $i] :
( ~ ( less_than @ SV57 @ SY168 )
| ( ( update_slb @ ( insert_slb @ SV18 @ ( pair @ SV41 @ SY168 ) ) @ SV57 )
= ( insert_slb @ ( update_slb @ SV18 @ SV57 ) @ ( pair @ SV41 @ SY168 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(199,plain,
! [SV58: $i,SV42: $i,SV19: $i] :
( ( ~ ~ ( ~ ( less_than @ SV19 @ SV42 )
| ~ ( less_than @ SV42 @ SV58 ) )
| ( less_than @ SV19 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(200,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ! [SY169: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(201,plain,
! [SV21: $i,SV60: $i,SV44: $i] :
( ( ! [SY170: $i] :
( ~ ~ ( ~ ( ( SV44 != SV60 ) )
| ~ ( contains_slb @ SV21 @ SV60 ) )
| ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SY170 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SY170 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(202,plain,
! [SV22: $i,SV61: $i,SV45: $i] :
( ( ! [SY171: $i] :
( ~ ~ ( ~ ( ( SV45 != SV61 ) )
| ~ ( contains_slb @ SV22 @ SV61 ) )
| ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SY171 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(203,plain,
! [SV62: $i,SV46: $i,SV23: $i] :
( ( ! [SY172: $i,SY173: $i] :
( ~ ( less_than @ SY173 @ SY172 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SY172 @ SY173 ) ) @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SY172 @ SY173 ) ) @ SV62 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(204,plain,
! [SV63: $i,SV24: $i,SV47: $i] :
( ( ! [SY174: $i] :
( ~ ~ ( ~ ( contains_slb @ SV47 @ SY174 )
| ~ ( less_than @ ( lookup_slb @ SV47 @ SY174 ) @ SY174 ) )
| ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SV63 ) @ SY174 )
= ( triple @ ( remove_pqp @ SV24 @ SY174 ) @ ( remove_slb @ SV47 @ SY174 ) @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(205,plain,
! [SV64: $i,SV48: $i,SV25: $i] :
( ( ! [SY175: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SY175 )
| ( contains_slb @ SV48 @ SY175 ) )
| ~ ( ~ ( contains_slb @ SV48 @ SY175 )
| ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SY175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(206,plain,
! [SV49: $i,SV26: $i] :
( ( ~ ( ~ ( ok @ ( triple @ SV26 @ SV49 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV26 @ SV49 @ bad ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(207,plain,
! [SV65: $i,SV50: $i,SV27: $i] :
( ( ~ ~ ( ok @ ( triple @ SV27 @ SV50 @ SV65 ) )
| ( SV65 = bad ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(208,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ! [SY176: $i] :
( ~ ~ ( ~ ( ( SV51 != create_slb ) )
| ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(209,plain,
! [SV35: $i,SV12: $i] :
( ( ~ ( ~ ( strictly_less_than @ SV12 @ SV35 )
| ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(210,plain,
! [SV35: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) )
| ( strictly_less_than @ SV12 @ SV35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(211,plain,
! [SV53: $i,SV67: $i,SV36: $i,SV13: $i] :
( ( ~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
| ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
| ~ ( ~ ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
| ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(212,plain,
! [SV37: $i,SV14: $i] :
( ( ( succ_cpq @ SV14 @ SV37 )
= $false )
| ( ( succ_cpq @ SV14 @ ( findmin_cpq_eff @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(213,plain,
! [SV54: $i,SV15: $i,SV38: $i] :
( ( ~ ( ( SV38 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV15 @ SV38 @ SV54 ) )
= ( findmin_pqp_res @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV56: $i,SV17: $i,SV70: $i,SV40: $i] :
( ( ~ ~ ( contains_slb @ SV40 @ SV70 )
| ( ( remove_cpq @ ( triple @ SV17 @ SV40 @ SV56 ) @ SV70 )
= ( triple @ SV17 @ SV40 @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(216,plain,
! [SV41: $i,SV18: $i,SV71: $i,SV57: $i] :
( ( ~ ( less_than @ SV57 @ SV71 )
| ( ( update_slb @ ( insert_slb @ SV18 @ ( pair @ SV41 @ SV71 ) ) @ SV57 )
= ( insert_slb @ ( update_slb @ SV18 @ SV57 ) @ ( pair @ SV41 @ SV71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(217,plain,
! [SV58: $i,SV42: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( less_than @ SV19 @ SV42 )
| ~ ( less_than @ SV42 @ SV58 ) ) )
= $true )
| ( ( less_than @ SV19 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(218,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(219,plain,
! [SV73: $i,SV21: $i,SV60: $i,SV44: $i] :
( ( ~ ~ ( ~ ( ( SV44 != SV60 ) )
| ~ ( contains_slb @ SV21 @ SV60 ) )
| ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SV73 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SV73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(220,plain,
! [SV74: $i,SV22: $i,SV61: $i,SV45: $i] :
( ( ~ ~ ( ~ ( ( SV45 != SV61 ) )
| ~ ( contains_slb @ SV22 @ SV61 ) )
| ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SV74 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(221,plain,
! [SV62: $i,SV46: $i,SV23: $i,SV75: $i] :
( ( ! [SY177: $i] :
( ~ ( less_than @ SY177 @ SV75 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SY177 ) ) @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SY177 ) ) @ SV62 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(222,plain,
! [SV63: $i,SV24: $i,SV76: $i,SV47: $i] :
( ( ~ ~ ( ~ ( contains_slb @ SV47 @ SV76 )
| ~ ( less_than @ ( lookup_slb @ SV47 @ SV76 ) @ SV76 ) )
| ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SV63 ) @ SV76 )
= ( triple @ ( remove_pqp @ SV24 @ SV76 ) @ ( remove_slb @ SV47 @ SV76 ) @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(223,plain,
! [SV77: $i,SV64: $i,SV48: $i,SV25: $i] :
( ( ~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 )
| ( contains_slb @ SV48 @ SV77 ) )
| ~ ( ~ ( contains_slb @ SV48 @ SV77 )
| ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(224,plain,
! [SV49: $i,SV26: $i] :
( ( ~ ( ~ ( ok @ ( triple @ SV26 @ SV49 @ bad ) )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(225,plain,
! [SV49: $i,SV26: $i] :
( ( ~ ( ~ $false
| ( ok @ ( triple @ SV26 @ SV49 @ bad ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(226,plain,
! [SV65: $i,SV50: $i,SV27: $i] :
( ( ( ~ ~ ( ok @ ( triple @ SV27 @ SV50 @ SV65 ) ) )
= $true )
| ( ( SV65 = bad )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(227,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ~ ~ ( ~ ( ( SV51 != create_slb ) )
| ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(228,plain,
! [SV35: $i,SV12: $i] :
( ( ~ ( strictly_less_than @ SV12 @ SV35 )
| ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(229,plain,
! [SV35: $i,SV12: $i] :
( ( ~ ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) )
| ( strictly_less_than @ SV12 @ SV35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(230,plain,
! [SV53: $i,SV67: $i,SV36: $i,SV13: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
| ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
| ~ ( ~ ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
| ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(231,plain,
! [SV54: $i,SV15: $i,SV38: $i] :
( ( ( ~ ( ( SV38 != create_slb ) ) )
= $true )
| ( ( ( findmin_cpq_res @ ( triple @ SV15 @ SV38 @ SV54 ) )
= ( findmin_pqp_res @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(232,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(233,plain,
! [SV56: $i,SV17: $i,SV70: $i,SV40: $i] :
( ( ( ~ ~ ( contains_slb @ SV40 @ SV70 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV17 @ SV40 @ SV56 ) @ SV70 )
= ( triple @ SV17 @ SV40 @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(234,plain,
! [SV41: $i,SV18: $i,SV71: $i,SV57: $i] :
( ( ( ~ ( less_than @ SV57 @ SV71 ) )
= $true )
| ( ( ( update_slb @ ( insert_slb @ SV18 @ ( pair @ SV41 @ SV71 ) ) @ SV57 )
= ( insert_slb @ ( update_slb @ SV18 @ SV57 ) @ ( pair @ SV41 @ SV71 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(235,plain,
! [SV58: $i,SV42: $i,SV19: $i] :
( ( ( ~ ( ~ ( less_than @ SV19 @ SV42 )
| ~ ( less_than @ SV42 @ SV58 ) ) )
= $false )
| ( ( less_than @ SV19 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(236,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(237,plain,
! [SV73: $i,SV21: $i,SV60: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ( ( SV44 != SV60 ) )
| ~ ( contains_slb @ SV21 @ SV60 ) ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SV73 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SV73 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(238,plain,
! [SV74: $i,SV22: $i,SV61: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ( ( SV45 != SV61 ) )
| ~ ( contains_slb @ SV22 @ SV61 ) ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SV74 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(239,plain,
! [SV62: $i,SV46: $i,SV23: $i,SV75: $i,SV79: $i] :
( ( ~ ( less_than @ SV79 @ SV75 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(240,plain,
! [SV63: $i,SV24: $i,SV76: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( contains_slb @ SV47 @ SV76 )
| ~ ( less_than @ ( lookup_slb @ SV47 @ SV76 ) @ SV76 ) ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SV63 ) @ SV76 )
= ( triple @ ( remove_pqp @ SV24 @ SV76 ) @ ( remove_slb @ SV47 @ SV76 ) @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(241,plain,
! [SV77: $i,SV64: $i,SV48: $i,SV25: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 )
| ( contains_slb @ SV48 @ SV77 ) )
| ~ ( ~ ( contains_slb @ SV48 @ SV77 )
| ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(242,plain,
! [SV49: $i,SV26: $i] :
( ( ~ ( ok @ ( triple @ SV26 @ SV49 @ bad ) )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(243,plain,
! [SV49: $i,SV26: $i] :
( ( ~ $false
| ( ok @ ( triple @ SV26 @ SV49 @ bad ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(244,plain,
! [SV65: $i,SV50: $i,SV27: $i] :
( ( ( ~ ( ok @ ( triple @ SV27 @ SV50 @ SV65 ) ) )
= $false )
| ( ( SV65 = bad )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(245,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( ( SV51 != create_slb ) )
| ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(246,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( strictly_less_than @ SV12 @ SV35 ) )
= $true )
| ( ( ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(247,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) ) )
= $true )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(248,plain,
! [SV53: $i,SV67: $i,SV36: $i,SV13: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
| ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(249,plain,
! [SV67: $i,SV36: $i,SV53: $i,SV13: $i] :
( ( ~ ( ~ ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
| ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(250,plain,
! [SV54: $i,SV15: $i,SV38: $i] :
( ( ( SV38 != create_slb )
= $false )
| ( ( ( findmin_cpq_res @ ( triple @ SV15 @ SV38 @ SV54 ) )
= ( findmin_pqp_res @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(251,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(252,plain,
! [SV56: $i,SV17: $i,SV70: $i,SV40: $i] :
( ( ( ~ ( contains_slb @ SV40 @ SV70 ) )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV17 @ SV40 @ SV56 ) @ SV70 )
= ( triple @ SV17 @ SV40 @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(253,plain,
! [SV41: $i,SV18: $i,SV71: $i,SV57: $i] :
( ( ( less_than @ SV57 @ SV71 )
= $false )
| ( ( ( update_slb @ ( insert_slb @ SV18 @ ( pair @ SV41 @ SV71 ) ) @ SV57 )
= ( insert_slb @ ( update_slb @ SV18 @ SV57 ) @ ( pair @ SV41 @ SV71 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(254,plain,
! [SV58: $i,SV42: $i,SV19: $i] :
( ( ( ~ ( less_than @ SV19 @ SV42 )
| ~ ( less_than @ SV42 @ SV58 ) )
= $true )
| ( ( less_than @ SV19 @ SV58 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(255,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(256,plain,
! [SV73: $i,SV21: $i,SV60: $i,SV44: $i] :
( ( ( ~ ( ~ ( ( SV44 != SV60 ) )
| ~ ( contains_slb @ SV21 @ SV60 ) ) )
= $false )
| ( ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SV73 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SV73 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(257,plain,
! [SV74: $i,SV22: $i,SV61: $i,SV45: $i] :
( ( ( ~ ( ~ ( ( SV45 != SV61 ) )
| ~ ( contains_slb @ SV22 @ SV61 ) ) )
= $false )
| ( ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SV74 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(258,plain,
! [SV62: $i,SV46: $i,SV23: $i,SV75: $i,SV79: $i] :
( ( ( ~ ( less_than @ SV79 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(259,plain,
! [SV63: $i,SV24: $i,SV76: $i,SV47: $i] :
( ( ( ~ ( ~ ( contains_slb @ SV47 @ SV76 )
| ~ ( less_than @ ( lookup_slb @ SV47 @ SV76 ) @ SV76 ) ) )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SV63 ) @ SV76 )
= ( triple @ ( remove_pqp @ SV24 @ SV76 ) @ ( remove_slb @ SV47 @ SV76 ) @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(260,plain,
! [SV77: $i,SV64: $i,SV48: $i,SV25: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 )
| ( contains_slb @ SV48 @ SV77 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(261,plain,
! [SV64: $i,SV25: $i,SV77: $i,SV48: $i] :
( ( ~ ( ~ ( contains_slb @ SV48 @ SV77 )
| ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(262,plain,
! [SV49: $i,SV26: $i] :
( ( ( ~ ( ok @ ( triple @ SV26 @ SV49 @ bad ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(263,plain,
! [SV49: $i,SV26: $i] :
( ( ( ~ $false ) = $true )
| ( ( ok @ ( triple @ SV26 @ SV49 @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(264,plain,
! [SV65: $i,SV50: $i,SV27: $i] :
( ( ( ok @ ( triple @ SV27 @ SV50 @ SV65 ) )
= $true )
| ( ( SV65 = bad )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(265,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ( ~ ( ~ ( ( SV51 != create_slb ) )
| ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(266,plain,
! [SV35: $i,SV12: $i] :
( ( ( strictly_less_than @ SV12 @ SV35 )
= $false )
| ( ( ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(267,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) ) )
= $false )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(268,plain,
! [SV53: $i,SV67: $i,SV36: $i,SV13: $i] :
( ( ~ ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
| ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(269,plain,
! [SV67: $i,SV36: $i,SV53: $i,SV13: $i] :
( ( ~ ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
| ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(270,plain,
! [SV54: $i,SV15: $i,SV38: $i] :
( ( ( SV38 = create_slb )
= $true )
| ( ( ( findmin_cpq_res @ ( triple @ SV15 @ SV38 @ SV54 ) )
= ( findmin_pqp_res @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(271,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(272,plain,
! [SV56: $i,SV17: $i,SV70: $i,SV40: $i] :
( ( ( contains_slb @ SV40 @ SV70 )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV17 @ SV40 @ SV56 ) @ SV70 )
= ( triple @ SV17 @ SV40 @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(273,plain,
! [SV58: $i,SV42: $i,SV19: $i] :
( ( ( ~ ( less_than @ SV19 @ SV42 ) )
= $true )
| ( ( ~ ( less_than @ SV42 @ SV58 ) )
= $true )
| ( ( less_than @ SV19 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(274,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(275,plain,
! [SV73: $i,SV21: $i,SV60: $i,SV44: $i] :
( ( ( ~ ( ( SV44 != SV60 ) )
| ~ ( contains_slb @ SV21 @ SV60 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SV73 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SV73 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(276,plain,
! [SV74: $i,SV22: $i,SV61: $i,SV45: $i] :
( ( ( ~ ( ( SV45 != SV61 ) )
| ~ ( contains_slb @ SV22 @ SV61 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SV74 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(277,plain,
! [SV62: $i,SV46: $i,SV23: $i,SV75: $i,SV79: $i] :
( ( ( less_than @ SV79 @ SV75 )
= $false )
| ( ( ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(278,plain,
! [SV63: $i,SV24: $i,SV76: $i,SV47: $i] :
( ( ( ~ ( contains_slb @ SV47 @ SV76 )
| ~ ( less_than @ ( lookup_slb @ SV47 @ SV76 ) @ SV76 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SV63 ) @ SV76 )
= ( triple @ ( remove_pqp @ SV24 @ SV76 ) @ ( remove_slb @ SV47 @ SV76 ) @ SV63 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(279,plain,
! [SV77: $i,SV64: $i,SV48: $i,SV25: $i] :
( ( ~ ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 )
| ( contains_slb @ SV48 @ SV77 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(280,plain,
! [SV64: $i,SV25: $i,SV77: $i,SV48: $i] :
( ( ~ ( contains_slb @ SV48 @ SV77 )
| ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(281,plain,
! [SV49: $i,SV26: $i] :
( ( ( ok @ ( triple @ SV26 @ SV49 @ bad ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(282,plain,
! [SV49: $i,SV26: $i] :
( ( $false = $false )
| ( ( ok @ ( triple @ SV26 @ SV49 @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(283,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ( ~ ( ( SV51 != create_slb ) )
| ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(284,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) )
= $false )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(285,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( less_than @ SV12 @ SV35 )
| ~ ~ ( less_than @ SV35 @ SV12 ) )
= $true )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(286,plain,
! [SV53: $i,SV67: $i,SV36: $i,SV13: $i] :
( ( ( ~ ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 ) )
= $true )
| ( ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(287,plain,
! [SV67: $i,SV36: $i,SV53: $i,SV13: $i] :
( ( ( ~ ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) ) )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(288,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(289,plain,
! [SV58: $i,SV42: $i,SV19: $i] :
( ( ( less_than @ SV19 @ SV42 )
= $false )
| ( ( ~ ( less_than @ SV42 @ SV58 ) )
= $true )
| ( ( less_than @ SV19 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(290,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(291,plain,
! [SV73: $i,SV21: $i,SV60: $i,SV44: $i] :
( ( ( ~ ( ( SV44 != SV60 ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV21 @ SV60 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SV73 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SV73 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(292,plain,
! [SV74: $i,SV22: $i,SV61: $i,SV45: $i] :
( ( ( ~ ( ( SV45 != SV61 ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV22 @ SV61 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SV74 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(293,plain,
! [SV62: $i,SV79: $i,SV75: $i,SV46: $i,SV23: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) ) ) )
= $false )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(294,plain,
! [SV63: $i,SV24: $i,SV76: $i,SV47: $i] :
( ( ( ~ ( contains_slb @ SV47 @ SV76 ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV47 @ SV76 ) @ SV76 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SV63 ) @ SV76 )
= ( triple @ ( remove_pqp @ SV24 @ SV76 ) @ ( remove_slb @ SV47 @ SV76 ) @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(295,plain,
! [SV77: $i,SV64: $i,SV48: $i,SV25: $i] :
( ( ( ~ ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 ) )
= $true )
| ( ( contains_slb @ SV48 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(296,plain,
! [SV64: $i,SV25: $i,SV77: $i,SV48: $i] :
( ( ( ~ ( contains_slb @ SV48 @ SV77 ) )
= $true )
| ( ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(297,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ( ~ ( ( SV51 != create_slb ) ) )
= $true )
| ( ( ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(298,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( less_than @ SV12 @ SV35 ) )
= $false )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(299,plain,
! [SV12: $i,SV35: $i] :
( ( ( ~ ~ ( less_than @ SV35 @ SV12 ) )
= $false )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(300,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( less_than @ SV12 @ SV35 ) )
= $true )
| ( ( ~ ~ ( less_than @ SV35 @ SV12 ) )
= $true )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(301,plain,
! [SV53: $i,SV67: $i,SV36: $i,SV13: $i] :
( ( ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
= $false )
| ( ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(302,plain,
! [SV67: $i,SV36: $i,SV53: $i,SV13: $i] :
( ( ( ( contains_slb @ SV13 @ SV53 )
| ( SV36 = SV53 ) )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(303,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( ~ ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) ) )
= $false )
| ( ( ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(304,plain,
! [SV19: $i,SV58: $i,SV42: $i] :
( ( ( less_than @ SV42 @ SV58 )
= $false )
| ( ( less_than @ SV19 @ SV42 )
= $false )
| ( ( less_than @ SV19 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(305,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( ~ ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $false )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(306,plain,
! [SV73: $i,SV21: $i,SV60: $i,SV44: $i] :
( ( ( SV44 != SV60 )
= $false )
| ( ( ~ ( contains_slb @ SV21 @ SV60 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SV73 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SV73 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(307,plain,
! [SV74: $i,SV22: $i,SV61: $i,SV45: $i] :
( ( ( SV45 != SV61 )
= $false )
| ( ( ~ ( contains_slb @ SV22 @ SV61 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SV74 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(308,plain,
! [SV62: $i,SV79: $i,SV75: $i,SV46: $i,SV23: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) ) )
= $false )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(309,plain,
! [SV79: $i,SV75: $i,SV62: $i,SV46: $i,SV23: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) ) ) )
= $false )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(310,plain,
! [SV63: $i,SV24: $i,SV76: $i,SV47: $i] :
( ( ( contains_slb @ SV47 @ SV76 )
= $false )
| ( ( ~ ( less_than @ ( lookup_slb @ SV47 @ SV76 ) @ SV76 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SV63 ) @ SV76 )
= ( triple @ ( remove_pqp @ SV24 @ SV76 ) @ ( remove_slb @ SV47 @ SV76 ) @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(311,plain,
! [SV77: $i,SV64: $i,SV48: $i,SV25: $i] :
( ( ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 )
= $false )
| ( ( contains_slb @ SV48 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(312,plain,
! [SV64: $i,SV25: $i,SV77: $i,SV48: $i] :
( ( ( contains_slb @ SV48 @ SV77 )
= $false )
| ( ( contains_cpq @ ( triple @ SV25 @ SV48 @ SV64 ) @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(313,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ( SV51 != create_slb )
= $false )
| ( ( ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(314,plain,
! [SV35: $i,SV12: $i] :
( ( ( less_than @ SV12 @ SV35 )
= $true )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(315,plain,
! [SV12: $i,SV35: $i] :
( ( ( ~ ( less_than @ SV35 @ SV12 ) )
= $true )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(316,plain,
! [SV35: $i,SV12: $i] :
( ( ( less_than @ SV12 @ SV35 )
= $false )
| ( ( ~ ~ ( less_than @ SV35 @ SV12 ) )
= $true )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(317,plain,
! [SV67: $i,SV36: $i,SV53: $i,SV13: $i] :
( ( ( contains_slb @ SV13 @ SV53 )
= $true )
| ( ( SV36 = SV53 )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(318,plain,
! [SV67: $i,SV36: $i,SV53: $i,SV13: $i] :
( ( ( contains_slb @ SV13 @ SV53 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(319,plain,
! [SV67: $i,SV13: $i,SV53: $i,SV36: $i] :
( ( ( SV36 = SV53 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV13 @ ( pair @ SV36 @ SV67 ) ) @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(320,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( ~ ( ( SV39 != create_slb ) )
| ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(321,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( ~ ( ( SV43 != create_slb ) )
| ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(322,plain,
! [SV73: $i,SV21: $i,SV60: $i,SV44: $i] :
( ( ( SV44 = SV60 )
= $true )
| ( ( ~ ( contains_slb @ SV21 @ SV60 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SV73 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SV73 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(323,plain,
! [SV74: $i,SV22: $i,SV61: $i,SV45: $i] :
( ( ( SV45 = SV61 )
= $true )
| ( ( ~ ( contains_slb @ SV22 @ SV61 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SV74 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(324,plain,
! [SV62: $i,SV79: $i,SV75: $i,SV46: $i,SV23: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) )
= $true )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(325,plain,
! [SV79: $i,SV75: $i,SV62: $i,SV46: $i,SV23: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
| ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) ) )
= $true )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(326,plain,
! [SV63: $i,SV24: $i,SV76: $i,SV47: $i] :
( ( ( less_than @ ( lookup_slb @ SV47 @ SV76 ) @ SV76 )
= $false )
| ( ( contains_slb @ SV47 @ SV76 )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV24 @ SV47 @ SV63 ) @ SV76 )
= ( triple @ ( remove_pqp @ SV24 @ SV76 ) @ ( remove_slb @ SV47 @ SV76 ) @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(327,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ( SV51 = create_slb )
= $true )
| ( ( ~ ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(328,plain,
! [SV12: $i,SV35: $i] :
( ( ( less_than @ SV35 @ SV12 )
= $false )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(329,plain,
! [SV12: $i,SV35: $i] :
( ( ( ~ ( less_than @ SV35 @ SV12 ) )
= $false )
| ( ( less_than @ SV12 @ SV35 )
= $false )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(330,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( ~ ( ( SV39 != create_slb ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(331,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( ~ ( ( SV43 != create_slb ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(332,plain,
! [SV73: $i,SV44: $i,SV60: $i,SV21: $i] :
( ( ( contains_slb @ SV21 @ SV60 )
= $false )
| ( ( SV44 = SV60 )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV21 @ ( pair @ SV44 @ SV73 ) ) @ SV60 )
= ( insert_slb @ ( remove_slb @ SV21 @ SV60 ) @ ( pair @ SV44 @ SV73 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(333,plain,
! [SV74: $i,SV45: $i,SV61: $i,SV22: $i] :
( ( ( contains_slb @ SV22 @ SV61 )
= $false )
| ( ( SV45 = SV61 )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV22 @ ( pair @ SV45 @ SV74 ) ) @ SV61 )
= ( lookup_slb @ SV22 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(334,plain,
! [SV62: $i,SV79: $i,SV75: $i,SV46: $i,SV23: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
= $true )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(335,plain,
! [SV79: $i,SV75: $i,SV62: $i,SV46: $i,SV23: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
= $true )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(336,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ( ~ ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) )
= $false )
| ( ( SV51 = create_slb )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(337,plain,
! [SV12: $i,SV35: $i] :
( ( ( less_than @ SV35 @ SV12 )
= $true )
| ( ( less_than @ SV12 @ SV35 )
= $false )
| ( ( strictly_less_than @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(338,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( SV39 != create_slb )
= $false )
| ( ( ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(339,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( SV43 != create_slb )
= $false )
| ( ( ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(340,plain,
! [SV62: $i,SV79: $i,SV75: $i,SV46: $i,SV23: $i] :
( ( ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
= $true )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(341,plain,
! [SV79: $i,SV75: $i,SV62: $i,SV46: $i,SV23: $i] :
( ( ( check_cpq @ ( triple @ SV23 @ SV46 @ SV62 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV23 @ ( insert_slb @ SV46 @ ( pair @ SV75 @ SV79 ) ) @ SV62 ) )
= $true )
| ( ( less_than @ SV79 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(342,plain,
! [SV66: $i,SV28: $i,SV51: $i] :
( ( ( contains_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) )
= $true )
| ( ( SV51 = create_slb )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV28 @ SV51 @ SV66 ) )
= ( triple @ SV28 @ ( update_slb @ SV51 @ ( findmin_pqp_res @ SV28 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(343,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( SV39 = create_slb )
= $true )
| ( ( ~ ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(344,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( SV43 = create_slb )
= $true )
| ( ( ~ ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(345,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) )
= $false )
| ( ( SV39 = create_slb )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(346,plain,
! [SV59: $i,SV20: $i,SV43: $i] :
( ( ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) )
= $false )
| ( ( SV43 = create_slb )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(347,plain,
! [SV55: $i,SV16: $i,SV39: $i] :
( ( ( less_than @ ( lookup_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ ( findmin_pqp_res @ SV16 ) )
= $false )
| ( ( SV39 = create_slb )
= $true )
| ( ( contains_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV16 @ SV39 @ SV55 ) )
= ( triple @ SV16 @ ( update_slb @ SV39 @ ( findmin_pqp_res @ SV16 ) ) @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(348,plain,
! [SV59: $i,SV43: $i,SV20: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ SV20 ) @ ( lookup_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) )
= $false )
| ( ( SV43 = create_slb )
= $true )
| ( ( contains_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV20 @ SV43 @ SV59 ) )
= ( triple @ SV20 @ ( update_slb @ SV43 @ ( findmin_pqp_res @ SV20 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(349,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[114,348,347,342,341,340,337,333,332,328,326,319,318,317,314,312,311,304,282,281,272,270,264,253,212,191,190,189,173,170,169,168,165,145,141,137,136,135]) ).
thf(350,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( less_than @ U @ V )
& ( less_than @ V @ W ) )
=> ( less_than @ U @ W ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(351,plain,
( ( ! [U: $i,V: $i] :
( ( less_than @ U @ V )
| ( less_than @ V @ U ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(352,plain,
( ( ! [U: $i] : ( less_than @ U @ U ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(353,plain,
( ( ! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(354,plain,
( ( ! [U: $i] : ( less_than @ bottom @ U ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(355,plain,
( ( ~ ( isnonempty_slb @ create_slb ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(356,plain,
( ( ! [U: $i] :
~ ( contains_slb @ create_slb @ U ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(357,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(358,plain,
( ( ! [U: $i,V: $i] :
~ ( pair_in_list @ create_slb @ U @ V ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(359,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( remove_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(360,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(361,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( lookup_slb @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(362,plain,
( ( ! [U: $i] :
( ( update_slb @ create_slb @ U )
= create_slb ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(363,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( less_than @ W @ X )
=> ( ( update_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( update_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(364,plain,
( ( ! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( findmin_cpq_eff @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(365,plain,
( ( ! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(366,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( less_than @ Y @ X )
=> ( ( check_cpq @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
<=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(367,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(368,plain,
( ( ! [U: $i,V: $i] :
( ( ok @ ( triple @ U @ V @ bad ) )
<=> $false ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(369,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(370,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( contains_slb @ V @ X )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ U @ V @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(371,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( less_than @ ( lookup_slb @ V @ X ) @ X ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(372,plain,
( ( ! [U: $i,V: $i] :
( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
= ( triple @ U @ create_slb @ bad ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(373,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(374,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( strictly_less_than @ ( findmin_pqp_res @ U ) @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(375,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(376,plain,
( ( ! [U: $i,V: $i] :
( ( findmin_cpq_res @ ( triple @ U @ create_slb @ V ) )
= bottom ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(377,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( V != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pqp_res @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(378,plain,
( ( ! [U: $i] :
( ( removemin_cpq_eff @ U )
= ( remove_cpq @ ( findmin_cpq_eff @ U ) @ ( findmin_cpq_res @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(379,plain,
( ( ok @ ( findmin_cpq_eff @ ( triple @ sK1_U @ sK2_SY82 @ sK3_SY84 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(380,plain,
( ( ~ ( contains_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(381,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ( SX2 = bad ) ) )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(382,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ( less_than @ SX1 @ SX2 ) )
| ( less_than @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(383,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ( contains_slb @ SX1 @ SX3 ) )
| ~ ( ~ ( contains_slb @ SX1 @ SX3 )
| ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(384,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != SX2 ) )
| ~ ( contains_slb @ SX0 @ SX2 ) )
| ( ( lookup_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( lookup_slb @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(385,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( contains_slb @ SX1 @ SX3 )
| ( ( remove_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( triple @ SX0 @ SX1 @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(386,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( less_than @ SX2 @ SX3 )
| ( ( update_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( insert_slb @ ( update_slb @ SX0 @ SX2 ) @ ( pair @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(387,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ok @ ( triple @ SX0 @ SX1 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SX0 @ SX1 @ bad ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(388,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(389,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SX0 ) @ ( lookup_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(390,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ~ ( less_than @ ( lookup_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ ( findmin_pqp_res @ SX0 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(391,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( less_than @ SX4 @ SX3 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ ( insert_slb @ SX1 @ ( pair @ SX3 @ SX4 ) ) @ SX2 ) )
| ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ( check_cpq @ ( triple @ SX0 @ ( insert_slb @ SX1 @ ( pair @ SX3 @ SX4 ) ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(392,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( contains_slb @ SX1 @ SX3 )
| ~ ( less_than @ ( lookup_slb @ SX1 @ SX3 ) @ SX3 ) )
| ( ( remove_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( triple @ ( remove_pqp @ SX0 @ SX3 ) @ ( remove_slb @ SX1 @ SX3 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[371]) ).
thf(393,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != SX2 ) )
| ~ ( contains_slb @ SX0 @ SX2 ) )
| ( ( remove_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( insert_slb @ ( remove_slb @ SX0 @ SX2 ) @ ( pair @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(394,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( succ_cpq @ SX0 @ SX1 )
| ( succ_cpq @ SX0 @ ( findmin_cpq_eff @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(395,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( strictly_less_than @ SX0 @ SX1 )
| ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ~ ( less_than @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ~ ( less_than @ SX1 @ SX0 ) )
| ( strictly_less_than @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(396,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
| ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ( ~ ( ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(397,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ( SX1 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( findmin_pqp_res @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(398,plain,
! [SV80: $i] :
( ( ! [SY178: $i] :
( ( less_than @ SV80 @ SY178 )
| ( less_than @ SY178 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(399,plain,
! [SV81: $i] :
( ( less_than @ SV81 @ SV81 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(400,plain,
! [SV82: $i] :
( ( less_than @ bottom @ SV82 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(401,plain,
( ( isnonempty_slb @ create_slb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(402,plain,
! [SV83: $i] :
( ( ~ ( contains_slb @ create_slb @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(403,plain,
! [SV84: $i] :
( ( ! [SY179: $i] :
~ ( pair_in_list @ create_slb @ SV84 @ SY179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(404,plain,
! [SV85: $i] :
( ( ! [SY180: $i,SY181: $i] :
( ( lookup_slb @ ( insert_slb @ SV85 @ ( pair @ SY180 @ SY181 ) ) @ SY180 )
= SY181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(405,plain,
! [SV86: $i] :
( ( ( update_slb @ create_slb @ SV86 )
= create_slb )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(406,plain,
! [SV87: $i] :
( ( ! [SY182: $i] : ( check_cpq @ ( triple @ SV87 @ create_slb @ SY182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(407,plain,
! [SV88: $i] :
( ( ! [SY183: $i] :
( ( findmin_cpq_eff @ ( triple @ SV88 @ create_slb @ SY183 ) )
= ( triple @ SV88 @ create_slb @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(408,plain,
! [SV89: $i] :
( ( ! [SY184: $i] :
( ( findmin_cpq_res @ ( triple @ SV89 @ create_slb @ SY184 ) )
= bottom ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(409,plain,
! [SV90: $i] :
( ( ( removemin_cpq_eff @ SV90 )
= ( remove_cpq @ ( findmin_cpq_eff @ SV90 ) @ ( findmin_cpq_res @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(410,plain,
( ( contains_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(411,plain,
! [SV91: $i] :
( ( ! [SY185: $i,SY186: $i] :
( ~ ~ ( ok @ ( triple @ SV91 @ SY185 @ SY186 ) )
| ( SY186 = bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(412,plain,
! [SV92: $i] :
( ( ! [SY187: $i,SY188: $i] :
( ~ ~ ( ~ ( less_than @ SV92 @ SY187 )
| ~ ( less_than @ SY187 @ SY188 ) )
| ( less_than @ SV92 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(413,plain,
! [SV93: $i] :
( ( ! [SY189: $i,SY190: $i,SY191: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV93 @ SY189 @ SY190 ) @ SY191 )
| ( contains_slb @ SY189 @ SY191 ) )
| ~ ( ~ ( contains_slb @ SY189 @ SY191 )
| ( contains_cpq @ ( triple @ SV93 @ SY189 @ SY190 ) @ SY191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(414,plain,
! [SV94: $i] :
( ( ! [SY192: $i,SY193: $i,SY194: $i] :
( ~ ~ ( ~ ( ( SY192 != SY193 ) )
| ~ ( contains_slb @ SV94 @ SY193 ) )
| ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SY192 @ SY194 ) ) @ SY193 )
= ( lookup_slb @ SV94 @ SY193 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(415,plain,
! [SV95: $i] :
( ( ! [SY195: $i,SY196: $i,SY197: $i] :
( ~ ~ ( contains_slb @ SY195 @ SY197 )
| ( ( remove_cpq @ ( triple @ SV95 @ SY195 @ SY196 ) @ SY197 )
= ( triple @ SV95 @ SY195 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(416,plain,
! [SV96: $i] :
( ( ! [SY198: $i,SY199: $i,SY200: $i] :
( ~ ( less_than @ SY199 @ SY200 )
| ( ( update_slb @ ( insert_slb @ SV96 @ ( pair @ SY198 @ SY200 ) ) @ SY199 )
= ( insert_slb @ ( update_slb @ SV96 @ SY199 ) @ ( pair @ SY198 @ SY200 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(417,plain,
! [SV97: $i] :
( ( ! [SY201: $i] :
~ ( ~ ( ~ ( ok @ ( triple @ SV97 @ SY201 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV97 @ SY201 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(418,plain,
! [SV98: $i] :
( ( ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ~ ( ~ ( ( SY202 != create_slb ) )
| ~ ~ ( contains_slb @ SY202 @ ( findmin_pqp_res @ SV98 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV98 @ SY202 @ SY203 ) )
= ( triple @ SV98 @ ( update_slb @ SY202 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(419,plain,
! [SV99: $i] :
( ( ! [SY205: $i,SY206: $i,SY207: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SY205 != create_slb ) )
| ~ ( contains_slb @ SY205 @ ( findmin_pqp_res @ SV99 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SY205 @ ( findmin_pqp_res @ SV99 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV99 @ SY205 @ SY206 ) )
= ( triple @ SV99 @ ( update_slb @ SY205 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(420,plain,
! [SV100: $i] :
( ( ! [SY208: $i,SY209: $i,SY210: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SY208 != create_slb ) )
| ~ ( contains_slb @ SY208 @ ( findmin_pqp_res @ SV100 ) ) )
| ~ ( less_than @ ( lookup_slb @ SY208 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV100 @ SY208 @ SY209 ) )
= ( triple @ SV100 @ ( update_slb @ SY208 @ ( findmin_pqp_res @ SV100 ) ) @ SY209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(421,plain,
! [SV101: $i] :
( ( ! [SY211: $i,SY212: $i,SY213: $i,SY214: $i] :
( ~ ( less_than @ SY214 @ SY213 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SY211 @ ( pair @ SY213 @ SY214 ) ) @ SY212 ) )
| ( check_cpq @ ( triple @ SV101 @ SY211 @ SY212 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SY211 @ SY212 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SY211 @ ( pair @ SY213 @ SY214 ) ) @ SY212 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(422,plain,
! [SV102: $i] :
( ( ! [SY215: $i,SY216: $i,SY217: $i] :
( ~ ~ ( ~ ( contains_slb @ SY215 @ SY217 )
| ~ ( less_than @ ( lookup_slb @ SY215 @ SY217 ) @ SY217 ) )
| ( ( remove_cpq @ ( triple @ SV102 @ SY215 @ SY216 ) @ SY217 )
= ( triple @ ( remove_pqp @ SV102 @ SY217 ) @ ( remove_slb @ SY215 @ SY217 ) @ SY216 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(423,plain,
! [SV103: $i] :
( ( ! [SY218: $i,SY219: $i,SY220: $i] :
( ~ ~ ( ~ ( ( SY218 != SY219 ) )
| ~ ( contains_slb @ SV103 @ SY219 ) )
| ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SY218 @ SY220 ) ) @ SY219 )
= ( insert_slb @ ( remove_slb @ SV103 @ SY219 ) @ ( pair @ SY218 @ SY220 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(424,plain,
! [SV104: $i] :
( ( ! [SY221: $i] :
( ~ ( succ_cpq @ SV104 @ SY221 )
| ( succ_cpq @ SV104 @ ( findmin_cpq_eff @ SY221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(425,plain,
! [SV105: $i] :
( ( ! [SY222: $i] :
~ ( ~ ( ~ ( strictly_less_than @ SV105 @ SY222 )
| ~ ( ~ ( less_than @ SV105 @ SY222 )
| ~ ~ ( less_than @ SY222 @ SV105 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV105 @ SY222 )
| ~ ~ ( less_than @ SY222 @ SV105 ) )
| ( strictly_less_than @ SV105 @ SY222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(426,plain,
! [SV106: $i] :
( ( ! [SY223: $i,SY224: $i,SY225: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SY223 @ SY225 ) ) @ SY224 )
| ( contains_slb @ SV106 @ SY224 )
| ( SY223 = SY224 ) )
| ~ ( ~ ( ( contains_slb @ SV106 @ SY224 )
| ( SY223 = SY224 ) )
| ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SY223 @ SY225 ) ) @ SY224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(427,plain,
! [SV107: $i] :
( ( ! [SY226: $i,SY227: $i,SY228: $i] :
( ~ ( ( SY226 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV107 @ SY226 @ SY227 ) )
= ( findmin_pqp_res @ SV107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(428,plain,
! [SV108: $i,SV80: $i] :
( ( ( less_than @ SV80 @ SV108 )
| ( less_than @ SV108 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(429,plain,
! [SV83: $i] :
( ( contains_slb @ create_slb @ SV83 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(430,plain,
! [SV109: $i,SV84: $i] :
( ( ~ ( pair_in_list @ create_slb @ SV84 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(431,plain,
! [SV110: $i,SV85: $i] :
( ( ! [SY229: $i] :
( ( lookup_slb @ ( insert_slb @ SV85 @ ( pair @ SV110 @ SY229 ) ) @ SV110 )
= SY229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(432,plain,
! [SV111: $i,SV87: $i] :
( ( check_cpq @ ( triple @ SV87 @ create_slb @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(433,plain,
! [SV112: $i,SV88: $i] :
( ( ( findmin_cpq_eff @ ( triple @ SV88 @ create_slb @ SV112 ) )
= ( triple @ SV88 @ create_slb @ bad ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(434,plain,
! [SV113: $i,SV89: $i] :
( ( ( findmin_cpq_res @ ( triple @ SV89 @ create_slb @ SV113 ) )
= bottom )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(435,plain,
! [SV114: $i,SV91: $i] :
( ( ! [SY230: $i] :
( ~ ~ ( ok @ ( triple @ SV91 @ SV114 @ SY230 ) )
| ( SY230 = bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(436,plain,
! [SV115: $i,SV92: $i] :
( ( ! [SY231: $i] :
( ~ ~ ( ~ ( less_than @ SV92 @ SV115 )
| ~ ( less_than @ SV115 @ SY231 ) )
| ( less_than @ SV92 @ SY231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(437,plain,
! [SV116: $i,SV93: $i] :
( ( ! [SY232: $i,SY233: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV93 @ SV116 @ SY232 ) @ SY233 )
| ( contains_slb @ SV116 @ SY233 ) )
| ~ ( ~ ( contains_slb @ SV116 @ SY233 )
| ( contains_cpq @ ( triple @ SV93 @ SV116 @ SY232 ) @ SY233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(438,plain,
! [SV94: $i,SV117: $i] :
( ( ! [SY234: $i,SY235: $i] :
( ~ ~ ( ~ ( ( SV117 != SY234 ) )
| ~ ( contains_slb @ SV94 @ SY234 ) )
| ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SY235 ) ) @ SY234 )
= ( lookup_slb @ SV94 @ SY234 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(439,plain,
! [SV95: $i,SV118: $i] :
( ( ! [SY236: $i,SY237: $i] :
( ~ ~ ( contains_slb @ SV118 @ SY237 )
| ( ( remove_cpq @ ( triple @ SV95 @ SV118 @ SY236 ) @ SY237 )
= ( triple @ SV95 @ SV118 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(440,plain,
! [SV119: $i,SV96: $i] :
( ( ! [SY238: $i,SY239: $i] :
( ~ ( less_than @ SY238 @ SY239 )
| ( ( update_slb @ ( insert_slb @ SV96 @ ( pair @ SV119 @ SY239 ) ) @ SY238 )
= ( insert_slb @ ( update_slb @ SV96 @ SY238 ) @ ( pair @ SV119 @ SY239 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(441,plain,
! [SV120: $i,SV97: $i] :
( ( ~ ( ~ ( ~ ( ok @ ( triple @ SV97 @ SV120 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV97 @ SV120 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(442,plain,
! [SV98: $i,SV121: $i] :
( ( ! [SY240: $i,SY241: $i] :
( ~ ~ ( ~ ( ( SV121 != create_slb ) )
| ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SY240 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(443,plain,
! [SV99: $i,SV122: $i] :
( ( ! [SY242: $i,SY243: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SY242 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(444,plain,
! [SV100: $i,SV123: $i] :
( ( ! [SY244: $i,SY245: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SY244 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SY244 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(445,plain,
! [SV124: $i,SV101: $i] :
( ( ! [SY246: $i,SY247: $i,SY248: $i] :
( ~ ( less_than @ SY248 @ SY247 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SY247 @ SY248 ) ) @ SY246 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SY246 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SY246 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SY247 @ SY248 ) ) @ SY246 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(446,plain,
! [SV102: $i,SV125: $i] :
( ( ! [SY249: $i,SY250: $i] :
( ~ ~ ( ~ ( contains_slb @ SV125 @ SY250 )
| ~ ( less_than @ ( lookup_slb @ SV125 @ SY250 ) @ SY250 ) )
| ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SY249 ) @ SY250 )
= ( triple @ ( remove_pqp @ SV102 @ SY250 ) @ ( remove_slb @ SV125 @ SY250 ) @ SY249 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(447,plain,
! [SV103: $i,SV126: $i] :
( ( ! [SY251: $i,SY252: $i] :
( ~ ~ ( ~ ( ( SV126 != SY251 ) )
| ~ ( contains_slb @ SV103 @ SY251 ) )
| ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SY252 ) ) @ SY251 )
= ( insert_slb @ ( remove_slb @ SV103 @ SY251 ) @ ( pair @ SV126 @ SY252 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(448,plain,
! [SV127: $i,SV104: $i] :
( ( ~ ( succ_cpq @ SV104 @ SV127 )
| ( succ_cpq @ SV104 @ ( findmin_cpq_eff @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(449,plain,
! [SV128: $i,SV105: $i] :
( ( ~ ( ~ ( ~ ( strictly_less_than @ SV105 @ SV128 )
| ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) )
| ( strictly_less_than @ SV105 @ SV128 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(450,plain,
! [SV129: $i,SV106: $i] :
( ( ! [SY253: $i,SY254: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SY254 ) ) @ SY253 )
| ( contains_slb @ SV106 @ SY253 )
| ( SV129 = SY253 ) )
| ~ ( ~ ( ( contains_slb @ SV106 @ SY253 )
| ( SV129 = SY253 ) )
| ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SY254 ) ) @ SY253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(451,plain,
! [SV107: $i,SV130: $i] :
( ( ! [SY255: $i,SY256: $i] :
( ~ ( ( SV130 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV107 @ SV130 @ SY255 ) )
= ( findmin_pqp_res @ SV107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(452,plain,
! [SV108: $i,SV80: $i] :
( ( ( less_than @ SV80 @ SV108 )
= $true )
| ( ( less_than @ SV108 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(453,plain,
! [SV109: $i,SV84: $i] :
( ( pair_in_list @ create_slb @ SV84 @ SV109 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(454,plain,
! [SV131: $i,SV110: $i,SV85: $i] :
( ( ( lookup_slb @ ( insert_slb @ SV85 @ ( pair @ SV110 @ SV131 ) ) @ SV110 )
= SV131 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(455,plain,
! [SV132: $i,SV114: $i,SV91: $i] :
( ( ~ ~ ( ok @ ( triple @ SV91 @ SV114 @ SV132 ) )
| ( SV132 = bad ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(456,plain,
! [SV133: $i,SV115: $i,SV92: $i] :
( ( ~ ~ ( ~ ( less_than @ SV92 @ SV115 )
| ~ ( less_than @ SV115 @ SV133 ) )
| ( less_than @ SV92 @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(457,plain,
! [SV134: $i,SV116: $i,SV93: $i] :
( ( ! [SY257: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SY257 )
| ( contains_slb @ SV116 @ SY257 ) )
| ~ ( ~ ( contains_slb @ SV116 @ SY257 )
| ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SY257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(458,plain,
! [SV94: $i,SV135: $i,SV117: $i] :
( ( ! [SY258: $i] :
( ~ ~ ( ~ ( ( SV117 != SV135 ) )
| ~ ( contains_slb @ SV94 @ SV135 ) )
| ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SY258 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(459,plain,
! [SV136: $i,SV95: $i,SV118: $i] :
( ( ! [SY259: $i] :
( ~ ~ ( contains_slb @ SV118 @ SY259 )
| ( ( remove_cpq @ ( triple @ SV95 @ SV118 @ SV136 ) @ SY259 )
= ( triple @ SV95 @ SV118 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(460,plain,
! [SV119: $i,SV96: $i,SV137: $i] :
( ( ! [SY260: $i] :
( ~ ( less_than @ SV137 @ SY260 )
| ( ( update_slb @ ( insert_slb @ SV96 @ ( pair @ SV119 @ SY260 ) ) @ SV137 )
= ( insert_slb @ ( update_slb @ SV96 @ SV137 ) @ ( pair @ SV119 @ SY260 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(461,plain,
! [SV120: $i,SV97: $i] :
( ( ~ ( ~ ( ok @ ( triple @ SV97 @ SV120 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV97 @ SV120 @ bad ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(462,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ! [SY261: $i] :
( ~ ~ ( ~ ( ( SV121 != create_slb ) )
| ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(463,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(464,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ! [SY263: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(465,plain,
! [SV141: $i,SV124: $i,SV101: $i] :
( ( ! [SY264: $i,SY265: $i] :
( ~ ( less_than @ SY265 @ SY264 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SY264 @ SY265 ) ) @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SY264 @ SY265 ) ) @ SV141 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(466,plain,
! [SV142: $i,SV102: $i,SV125: $i] :
( ( ! [SY266: $i] :
( ~ ~ ( ~ ( contains_slb @ SV125 @ SY266 )
| ~ ( less_than @ ( lookup_slb @ SV125 @ SY266 ) @ SY266 ) )
| ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SV142 ) @ SY266 )
= ( triple @ ( remove_pqp @ SV102 @ SY266 ) @ ( remove_slb @ SV125 @ SY266 ) @ SV142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(467,plain,
! [SV103: $i,SV143: $i,SV126: $i] :
( ( ! [SY267: $i] :
( ~ ~ ( ~ ( ( SV126 != SV143 ) )
| ~ ( contains_slb @ SV103 @ SV143 ) )
| ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SY267 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SY267 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(468,plain,
! [SV127: $i,SV104: $i] :
( ( ( ~ ( succ_cpq @ SV104 @ SV127 ) )
= $true )
| ( ( succ_cpq @ SV104 @ ( findmin_cpq_eff @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(469,plain,
! [SV128: $i,SV105: $i] :
( ( ~ ( ~ ( strictly_less_than @ SV105 @ SV128 )
| ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) )
| ( strictly_less_than @ SV105 @ SV128 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(470,plain,
! [SV144: $i,SV129: $i,SV106: $i] :
( ( ! [SY268: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SY268 ) ) @ SV144 )
| ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
| ~ ( ~ ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
| ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SY268 ) ) @ SV144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(471,plain,
! [SV145: $i,SV107: $i,SV130: $i] :
( ( ! [SY269: $i] :
( ~ ( ( SV130 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV107 @ SV130 @ SV145 ) )
= ( findmin_pqp_res @ SV107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(472,plain,
! [SV132: $i,SV114: $i,SV91: $i] :
( ( ( ~ ~ ( ok @ ( triple @ SV91 @ SV114 @ SV132 ) ) )
= $true )
| ( ( SV132 = bad )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(473,plain,
! [SV133: $i,SV115: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ( less_than @ SV92 @ SV115 )
| ~ ( less_than @ SV115 @ SV133 ) ) )
= $true )
| ( ( less_than @ SV92 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(474,plain,
! [SV146: $i,SV134: $i,SV116: $i,SV93: $i] :
( ( ~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 )
| ( contains_slb @ SV116 @ SV146 ) )
| ~ ( ~ ( contains_slb @ SV116 @ SV146 )
| ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(475,plain,
! [SV147: $i,SV94: $i,SV135: $i,SV117: $i] :
( ( ~ ~ ( ~ ( ( SV117 != SV135 ) )
| ~ ( contains_slb @ SV94 @ SV135 ) )
| ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SV147 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(476,plain,
! [SV136: $i,SV95: $i,SV148: $i,SV118: $i] :
( ( ~ ~ ( contains_slb @ SV118 @ SV148 )
| ( ( remove_cpq @ ( triple @ SV95 @ SV118 @ SV136 ) @ SV148 )
= ( triple @ SV95 @ SV118 @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(477,plain,
! [SV119: $i,SV96: $i,SV149: $i,SV137: $i] :
( ( ~ ( less_than @ SV137 @ SV149 )
| ( ( update_slb @ ( insert_slb @ SV96 @ ( pair @ SV119 @ SV149 ) ) @ SV137 )
= ( insert_slb @ ( update_slb @ SV96 @ SV137 ) @ ( pair @ SV119 @ SV149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(478,plain,
! [SV120: $i,SV97: $i] :
( ( ~ ( ~ ( ok @ ( triple @ SV97 @ SV120 @ bad ) )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(479,plain,
! [SV120: $i,SV97: $i] :
( ( ~ ( ~ $false
| ( ok @ ( triple @ SV97 @ SV120 @ bad ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(480,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ~ ~ ( ~ ( ( SV121 != create_slb ) )
| ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(481,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(482,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(483,plain,
! [SV141: $i,SV124: $i,SV101: $i,SV153: $i] :
( ( ! [SY270: $i] :
( ~ ( less_than @ SY270 @ SV153 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SY270 ) ) @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SY270 ) ) @ SV141 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(484,plain,
! [SV142: $i,SV102: $i,SV154: $i,SV125: $i] :
( ( ~ ~ ( ~ ( contains_slb @ SV125 @ SV154 )
| ~ ( less_than @ ( lookup_slb @ SV125 @ SV154 ) @ SV154 ) )
| ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SV142 ) @ SV154 )
= ( triple @ ( remove_pqp @ SV102 @ SV154 ) @ ( remove_slb @ SV125 @ SV154 ) @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(485,plain,
! [SV155: $i,SV103: $i,SV143: $i,SV126: $i] :
( ( ~ ~ ( ~ ( ( SV126 != SV143 ) )
| ~ ( contains_slb @ SV103 @ SV143 ) )
| ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SV155 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SV155 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(486,plain,
! [SV127: $i,SV104: $i] :
( ( ( succ_cpq @ SV104 @ SV127 )
= $false )
| ( ( succ_cpq @ SV104 @ ( findmin_cpq_eff @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(487,plain,
! [SV128: $i,SV105: $i] :
( ( ~ ( ~ ( strictly_less_than @ SV105 @ SV128 )
| ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(488,plain,
! [SV128: $i,SV105: $i] :
( ( ~ ( ~ ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) )
| ( strictly_less_than @ SV105 @ SV128 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(489,plain,
! [SV144: $i,SV156: $i,SV129: $i,SV106: $i] :
( ( ~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
| ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
| ~ ( ~ ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
| ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(490,plain,
! [SV145: $i,SV107: $i,SV130: $i] :
( ( ~ ( ( SV130 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV107 @ SV130 @ SV145 ) )
= ( findmin_pqp_res @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(491,plain,
! [SV132: $i,SV114: $i,SV91: $i] :
( ( ( ~ ( ok @ ( triple @ SV91 @ SV114 @ SV132 ) ) )
= $false )
| ( ( SV132 = bad )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(492,plain,
! [SV133: $i,SV115: $i,SV92: $i] :
( ( ( ~ ( ~ ( less_than @ SV92 @ SV115 )
| ~ ( less_than @ SV115 @ SV133 ) ) )
= $false )
| ( ( less_than @ SV92 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(493,plain,
! [SV146: $i,SV134: $i,SV116: $i,SV93: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 )
| ( contains_slb @ SV116 @ SV146 ) )
| ~ ( ~ ( contains_slb @ SV116 @ SV146 )
| ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(494,plain,
! [SV147: $i,SV94: $i,SV135: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ( ( SV117 != SV135 ) )
| ~ ( contains_slb @ SV94 @ SV135 ) ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SV147 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(495,plain,
! [SV136: $i,SV95: $i,SV148: $i,SV118: $i] :
( ( ( ~ ~ ( contains_slb @ SV118 @ SV148 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV95 @ SV118 @ SV136 ) @ SV148 )
= ( triple @ SV95 @ SV118 @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(496,plain,
! [SV119: $i,SV96: $i,SV149: $i,SV137: $i] :
( ( ( ~ ( less_than @ SV137 @ SV149 ) )
= $true )
| ( ( ( update_slb @ ( insert_slb @ SV96 @ ( pair @ SV119 @ SV149 ) ) @ SV137 )
= ( insert_slb @ ( update_slb @ SV96 @ SV137 ) @ ( pair @ SV119 @ SV149 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(497,plain,
! [SV120: $i,SV97: $i] :
( ( ~ ( ok @ ( triple @ SV97 @ SV120 @ bad ) )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(498,plain,
! [SV120: $i,SV97: $i] :
( ( ~ $false
| ( ok @ ( triple @ SV97 @ SV120 @ bad ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(499,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( ( SV121 != create_slb ) )
| ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(500,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(501,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(502,plain,
! [SV141: $i,SV124: $i,SV101: $i,SV153: $i,SV158: $i] :
( ( ~ ( less_than @ SV158 @ SV153 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(503,plain,
! [SV142: $i,SV102: $i,SV154: $i,SV125: $i] :
( ( ( ~ ~ ( ~ ( contains_slb @ SV125 @ SV154 )
| ~ ( less_than @ ( lookup_slb @ SV125 @ SV154 ) @ SV154 ) ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SV142 ) @ SV154 )
= ( triple @ ( remove_pqp @ SV102 @ SV154 ) @ ( remove_slb @ SV125 @ SV154 ) @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(504,plain,
! [SV155: $i,SV103: $i,SV143: $i,SV126: $i] :
( ( ( ~ ~ ( ~ ( ( SV126 != SV143 ) )
| ~ ( contains_slb @ SV103 @ SV143 ) ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SV155 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SV155 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(505,plain,
! [SV128: $i,SV105: $i] :
( ( ~ ( strictly_less_than @ SV105 @ SV128 )
| ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(506,plain,
! [SV128: $i,SV105: $i] :
( ( ~ ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) )
| ( strictly_less_than @ SV105 @ SV128 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(507,plain,
! [SV144: $i,SV156: $i,SV129: $i,SV106: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
| ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
| ~ ( ~ ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
| ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(508,plain,
! [SV145: $i,SV107: $i,SV130: $i] :
( ( ( ~ ( ( SV130 != create_slb ) ) )
= $true )
| ( ( ( findmin_cpq_res @ ( triple @ SV107 @ SV130 @ SV145 ) )
= ( findmin_pqp_res @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(509,plain,
! [SV132: $i,SV114: $i,SV91: $i] :
( ( ( ok @ ( triple @ SV91 @ SV114 @ SV132 ) )
= $true )
| ( ( SV132 = bad )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(510,plain,
! [SV133: $i,SV115: $i,SV92: $i] :
( ( ( ~ ( less_than @ SV92 @ SV115 )
| ~ ( less_than @ SV115 @ SV133 ) )
= $true )
| ( ( less_than @ SV92 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(511,plain,
! [SV146: $i,SV134: $i,SV116: $i,SV93: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 )
| ( contains_slb @ SV116 @ SV146 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(512,plain,
! [SV134: $i,SV93: $i,SV146: $i,SV116: $i] :
( ( ~ ( ~ ( contains_slb @ SV116 @ SV146 )
| ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(513,plain,
! [SV147: $i,SV94: $i,SV135: $i,SV117: $i] :
( ( ( ~ ( ~ ( ( SV117 != SV135 ) )
| ~ ( contains_slb @ SV94 @ SV135 ) ) )
= $false )
| ( ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SV147 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(514,plain,
! [SV136: $i,SV95: $i,SV148: $i,SV118: $i] :
( ( ( ~ ( contains_slb @ SV118 @ SV148 ) )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV95 @ SV118 @ SV136 ) @ SV148 )
= ( triple @ SV95 @ SV118 @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(515,plain,
! [SV119: $i,SV96: $i,SV149: $i,SV137: $i] :
( ( ( less_than @ SV137 @ SV149 )
= $false )
| ( ( ( update_slb @ ( insert_slb @ SV96 @ ( pair @ SV119 @ SV149 ) ) @ SV137 )
= ( insert_slb @ ( update_slb @ SV96 @ SV137 ) @ ( pair @ SV119 @ SV149 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(516,plain,
! [SV120: $i,SV97: $i] :
( ( ( ~ ( ok @ ( triple @ SV97 @ SV120 @ bad ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(517,plain,
! [SV120: $i,SV97: $i] :
( ( ( ~ $false ) = $true )
| ( ( ok @ ( triple @ SV97 @ SV120 @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(518,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ( ~ ( ~ ( ( SV121 != create_slb ) )
| ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(519,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(520,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(521,plain,
! [SV141: $i,SV124: $i,SV101: $i,SV153: $i,SV158: $i] :
( ( ( ~ ( less_than @ SV158 @ SV153 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(522,plain,
! [SV142: $i,SV102: $i,SV154: $i,SV125: $i] :
( ( ( ~ ( ~ ( contains_slb @ SV125 @ SV154 )
| ~ ( less_than @ ( lookup_slb @ SV125 @ SV154 ) @ SV154 ) ) )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SV142 ) @ SV154 )
= ( triple @ ( remove_pqp @ SV102 @ SV154 ) @ ( remove_slb @ SV125 @ SV154 ) @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(523,plain,
! [SV155: $i,SV103: $i,SV143: $i,SV126: $i] :
( ( ( ~ ( ~ ( ( SV126 != SV143 ) )
| ~ ( contains_slb @ SV103 @ SV143 ) ) )
= $false )
| ( ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SV155 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SV155 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(524,plain,
! [SV128: $i,SV105: $i] :
( ( ( ~ ( strictly_less_than @ SV105 @ SV128 ) )
= $true )
| ( ( ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(525,plain,
! [SV128: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) ) )
= $true )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(526,plain,
! [SV144: $i,SV156: $i,SV129: $i,SV106: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
| ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(527,plain,
! [SV156: $i,SV129: $i,SV144: $i,SV106: $i] :
( ( ~ ( ~ ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
| ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(528,plain,
! [SV145: $i,SV107: $i,SV130: $i] :
( ( ( SV130 != create_slb )
= $false )
| ( ( ( findmin_cpq_res @ ( triple @ SV107 @ SV130 @ SV145 ) )
= ( findmin_pqp_res @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(529,plain,
! [SV133: $i,SV115: $i,SV92: $i] :
( ( ( ~ ( less_than @ SV92 @ SV115 ) )
= $true )
| ( ( ~ ( less_than @ SV115 @ SV133 ) )
= $true )
| ( ( less_than @ SV92 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(530,plain,
! [SV146: $i,SV134: $i,SV116: $i,SV93: $i] :
( ( ~ ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 )
| ( contains_slb @ SV116 @ SV146 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(531,plain,
! [SV134: $i,SV93: $i,SV146: $i,SV116: $i] :
( ( ~ ( contains_slb @ SV116 @ SV146 )
| ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(532,plain,
! [SV147: $i,SV94: $i,SV135: $i,SV117: $i] :
( ( ( ~ ( ( SV117 != SV135 ) )
| ~ ( contains_slb @ SV94 @ SV135 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SV147 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(533,plain,
! [SV136: $i,SV95: $i,SV148: $i,SV118: $i] :
( ( ( contains_slb @ SV118 @ SV148 )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV95 @ SV118 @ SV136 ) @ SV148 )
= ( triple @ SV95 @ SV118 @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(534,plain,
! [SV120: $i,SV97: $i] :
( ( ( ok @ ( triple @ SV97 @ SV120 @ bad ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(535,plain,
! [SV120: $i,SV97: $i] :
( ( $false = $false )
| ( ( ok @ ( triple @ SV97 @ SV120 @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(536,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ( ~ ( ( SV121 != create_slb ) )
| ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(537,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(538,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(539,plain,
! [SV141: $i,SV124: $i,SV101: $i,SV153: $i,SV158: $i] :
( ( ( less_than @ SV158 @ SV153 )
= $false )
| ( ( ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(540,plain,
! [SV142: $i,SV102: $i,SV154: $i,SV125: $i] :
( ( ( ~ ( contains_slb @ SV125 @ SV154 )
| ~ ( less_than @ ( lookup_slb @ SV125 @ SV154 ) @ SV154 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SV142 ) @ SV154 )
= ( triple @ ( remove_pqp @ SV102 @ SV154 ) @ ( remove_slb @ SV125 @ SV154 ) @ SV142 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(541,plain,
! [SV155: $i,SV103: $i,SV143: $i,SV126: $i] :
( ( ( ~ ( ( SV126 != SV143 ) )
| ~ ( contains_slb @ SV103 @ SV143 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SV155 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SV155 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(542,plain,
! [SV128: $i,SV105: $i] :
( ( ( strictly_less_than @ SV105 @ SV128 )
= $false )
| ( ( ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(543,plain,
! [SV128: $i,SV105: $i] :
( ( ( ~ ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) ) )
= $false )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(544,plain,
! [SV144: $i,SV156: $i,SV129: $i,SV106: $i] :
( ( ~ ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
| ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(545,plain,
! [SV156: $i,SV129: $i,SV144: $i,SV106: $i] :
( ( ~ ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
| ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(546,plain,
! [SV145: $i,SV107: $i,SV130: $i] :
( ( ( SV130 = create_slb )
= $true )
| ( ( ( findmin_cpq_res @ ( triple @ SV107 @ SV130 @ SV145 ) )
= ( findmin_pqp_res @ SV107 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(547,plain,
! [SV133: $i,SV115: $i,SV92: $i] :
( ( ( less_than @ SV92 @ SV115 )
= $false )
| ( ( ~ ( less_than @ SV115 @ SV133 ) )
= $true )
| ( ( less_than @ SV92 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(548,plain,
! [SV146: $i,SV134: $i,SV116: $i,SV93: $i] :
( ( ( ~ ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 ) )
= $true )
| ( ( contains_slb @ SV116 @ SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(549,plain,
! [SV134: $i,SV93: $i,SV146: $i,SV116: $i] :
( ( ( ~ ( contains_slb @ SV116 @ SV146 ) )
= $true )
| ( ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(550,plain,
! [SV147: $i,SV94: $i,SV135: $i,SV117: $i] :
( ( ( ~ ( ( SV117 != SV135 ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV94 @ SV135 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SV147 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(551,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ( ~ ( ( SV121 != create_slb ) ) )
= $true )
| ( ( ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(552,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(553,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(554,plain,
! [SV141: $i,SV158: $i,SV153: $i,SV124: $i,SV101: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) ) ) )
= $false )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(555,plain,
! [SV142: $i,SV102: $i,SV154: $i,SV125: $i] :
( ( ( ~ ( contains_slb @ SV125 @ SV154 ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV125 @ SV154 ) @ SV154 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SV142 ) @ SV154 )
= ( triple @ ( remove_pqp @ SV102 @ SV154 ) @ ( remove_slb @ SV125 @ SV154 ) @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(556,plain,
! [SV155: $i,SV103: $i,SV143: $i,SV126: $i] :
( ( ( ~ ( ( SV126 != SV143 ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV103 @ SV143 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SV155 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SV155 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(557,plain,
! [SV128: $i,SV105: $i] :
( ( ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) )
= $false )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(558,plain,
! [SV128: $i,SV105: $i] :
( ( ( ~ ( less_than @ SV105 @ SV128 )
| ~ ~ ( less_than @ SV128 @ SV105 ) )
= $true )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(559,plain,
! [SV144: $i,SV156: $i,SV129: $i,SV106: $i] :
( ( ( ~ ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 ) )
= $true )
| ( ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(560,plain,
! [SV156: $i,SV129: $i,SV144: $i,SV106: $i] :
( ( ( ~ ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) ) )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(561,plain,
! [SV92: $i,SV133: $i,SV115: $i] :
( ( ( less_than @ SV115 @ SV133 )
= $false )
| ( ( less_than @ SV92 @ SV115 )
= $false )
| ( ( less_than @ SV92 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(562,plain,
! [SV146: $i,SV134: $i,SV116: $i,SV93: $i] :
( ( ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 )
= $false )
| ( ( contains_slb @ SV116 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(563,plain,
! [SV134: $i,SV93: $i,SV146: $i,SV116: $i] :
( ( ( contains_slb @ SV116 @ SV146 )
= $false )
| ( ( contains_cpq @ ( triple @ SV93 @ SV116 @ SV134 ) @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(564,plain,
! [SV147: $i,SV94: $i,SV135: $i,SV117: $i] :
( ( ( SV117 != SV135 )
= $false )
| ( ( ~ ( contains_slb @ SV94 @ SV135 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SV147 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(565,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ( SV121 != create_slb )
= $false )
| ( ( ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(566,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( ~ ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $false )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(567,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( ~ ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) ) )
= $false )
| ( ( ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(568,plain,
! [SV141: $i,SV158: $i,SV153: $i,SV124: $i,SV101: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) ) )
= $false )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(569,plain,
! [SV158: $i,SV153: $i,SV141: $i,SV124: $i,SV101: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) ) ) )
= $false )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(570,plain,
! [SV142: $i,SV102: $i,SV154: $i,SV125: $i] :
( ( ( contains_slb @ SV125 @ SV154 )
= $false )
| ( ( ~ ( less_than @ ( lookup_slb @ SV125 @ SV154 ) @ SV154 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SV142 ) @ SV154 )
= ( triple @ ( remove_pqp @ SV102 @ SV154 ) @ ( remove_slb @ SV125 @ SV154 ) @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(571,plain,
! [SV155: $i,SV103: $i,SV143: $i,SV126: $i] :
( ( ( SV126 != SV143 )
= $false )
| ( ( ~ ( contains_slb @ SV103 @ SV143 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SV155 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SV155 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(572,plain,
! [SV128: $i,SV105: $i] :
( ( ( ~ ( less_than @ SV105 @ SV128 ) )
= $false )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(573,plain,
! [SV105: $i,SV128: $i] :
( ( ( ~ ~ ( less_than @ SV128 @ SV105 ) )
= $false )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(574,plain,
! [SV128: $i,SV105: $i] :
( ( ( ~ ( less_than @ SV105 @ SV128 ) )
= $true )
| ( ( ~ ~ ( less_than @ SV128 @ SV105 ) )
= $true )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(575,plain,
! [SV144: $i,SV156: $i,SV129: $i,SV106: $i] :
( ( ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
= $false )
| ( ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(576,plain,
! [SV156: $i,SV129: $i,SV144: $i,SV106: $i] :
( ( ( ( contains_slb @ SV106 @ SV144 )
| ( SV129 = SV144 ) )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(577,plain,
! [SV147: $i,SV94: $i,SV135: $i,SV117: $i] :
( ( ( SV117 = SV135 )
= $true )
| ( ( ~ ( contains_slb @ SV94 @ SV135 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SV147 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(578,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ( SV121 = create_slb )
= $true )
| ( ( ~ ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(579,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( ~ ( ( SV122 != create_slb ) )
| ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(580,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( ~ ( ( SV123 != create_slb ) )
| ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(581,plain,
! [SV141: $i,SV158: $i,SV153: $i,SV124: $i,SV101: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) )
= $true )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(582,plain,
! [SV158: $i,SV153: $i,SV141: $i,SV124: $i,SV101: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
| ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) ) )
= $true )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(583,plain,
! [SV142: $i,SV102: $i,SV154: $i,SV125: $i] :
( ( ( less_than @ ( lookup_slb @ SV125 @ SV154 ) @ SV154 )
= $false )
| ( ( contains_slb @ SV125 @ SV154 )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV102 @ SV125 @ SV142 ) @ SV154 )
= ( triple @ ( remove_pqp @ SV102 @ SV154 ) @ ( remove_slb @ SV125 @ SV154 ) @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(584,plain,
! [SV155: $i,SV103: $i,SV143: $i,SV126: $i] :
( ( ( SV126 = SV143 )
= $true )
| ( ( ~ ( contains_slb @ SV103 @ SV143 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SV155 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SV155 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(585,plain,
! [SV128: $i,SV105: $i] :
( ( ( less_than @ SV105 @ SV128 )
= $true )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(586,plain,
! [SV105: $i,SV128: $i] :
( ( ( ~ ( less_than @ SV128 @ SV105 ) )
= $true )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(587,plain,
! [SV128: $i,SV105: $i] :
( ( ( less_than @ SV105 @ SV128 )
= $false )
| ( ( ~ ~ ( less_than @ SV128 @ SV105 ) )
= $true )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(588,plain,
! [SV156: $i,SV129: $i,SV144: $i,SV106: $i] :
( ( ( contains_slb @ SV106 @ SV144 )
= $true )
| ( ( SV129 = SV144 )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(589,plain,
! [SV156: $i,SV129: $i,SV144: $i,SV106: $i] :
( ( ( contains_slb @ SV106 @ SV144 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(590,plain,
! [SV156: $i,SV106: $i,SV144: $i,SV129: $i] :
( ( ( SV129 = SV144 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV106 @ ( pair @ SV129 @ SV156 ) ) @ SV144 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(591,plain,
! [SV147: $i,SV117: $i,SV135: $i,SV94: $i] :
( ( ( contains_slb @ SV94 @ SV135 )
= $false )
| ( ( SV117 = SV135 )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV94 @ ( pair @ SV117 @ SV147 ) ) @ SV135 )
= ( lookup_slb @ SV94 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(592,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ( ~ ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) )
= $false )
| ( ( SV121 = create_slb )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(593,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( ~ ( ( SV122 != create_slb ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(594,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( ~ ( ( SV123 != create_slb ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(595,plain,
! [SV141: $i,SV158: $i,SV153: $i,SV124: $i,SV101: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
= $true )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(596,plain,
! [SV158: $i,SV153: $i,SV141: $i,SV124: $i,SV101: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
= $true )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(597,plain,
! [SV155: $i,SV126: $i,SV143: $i,SV103: $i] :
( ( ( contains_slb @ SV103 @ SV143 )
= $false )
| ( ( SV126 = SV143 )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV103 @ ( pair @ SV126 @ SV155 ) ) @ SV143 )
= ( insert_slb @ ( remove_slb @ SV103 @ SV143 ) @ ( pair @ SV126 @ SV155 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(598,plain,
! [SV105: $i,SV128: $i] :
( ( ( less_than @ SV128 @ SV105 )
= $false )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(599,plain,
! [SV105: $i,SV128: $i] :
( ( ( ~ ( less_than @ SV128 @ SV105 ) )
= $false )
| ( ( less_than @ SV105 @ SV128 )
= $false )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(600,plain,
! [SV138: $i,SV98: $i,SV121: $i] :
( ( ( contains_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) )
= $true )
| ( ( SV121 = create_slb )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV98 @ SV121 @ SV138 ) )
= ( triple @ SV98 @ ( update_slb @ SV121 @ ( findmin_pqp_res @ SV98 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(601,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( SV122 != create_slb )
= $false )
| ( ( ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(602,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( SV123 != create_slb )
= $false )
| ( ( ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(603,plain,
! [SV141: $i,SV158: $i,SV153: $i,SV124: $i,SV101: $i] :
( ( ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
= $true )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(604,plain,
! [SV158: $i,SV153: $i,SV141: $i,SV124: $i,SV101: $i] :
( ( ( check_cpq @ ( triple @ SV101 @ SV124 @ SV141 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV101 @ ( insert_slb @ SV124 @ ( pair @ SV153 @ SV158 ) ) @ SV141 ) )
= $true )
| ( ( less_than @ SV158 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(605,plain,
! [SV105: $i,SV128: $i] :
( ( ( less_than @ SV128 @ SV105 )
= $true )
| ( ( less_than @ SV105 @ SV128 )
= $false )
| ( ( strictly_less_than @ SV105 @ SV128 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(606,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( SV122 = create_slb )
= $true )
| ( ( ~ ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(607,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( SV123 = create_slb )
= $true )
| ( ( ~ ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(608,plain,
! [SV139: $i,SV99: $i,SV122: $i] :
( ( ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) )
= $false )
| ( ( SV122 = create_slb )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(609,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) )
= $false )
| ( ( SV123 = create_slb )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(610,plain,
! [SV139: $i,SV122: $i,SV99: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ SV99 ) @ ( lookup_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) )
= $false )
| ( ( SV122 = create_slb )
= $true )
| ( ( contains_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV99 @ SV122 @ SV139 ) )
= ( triple @ SV99 @ ( update_slb @ SV122 @ ( findmin_pqp_res @ SV99 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(611,plain,
! [SV140: $i,SV100: $i,SV123: $i] :
( ( ( less_than @ ( lookup_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ ( findmin_pqp_res @ SV100 ) )
= $false )
| ( ( SV123 = create_slb )
= $true )
| ( ( contains_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV100 @ SV123 @ SV140 ) )
= ( triple @ SV100 @ ( update_slb @ SV123 @ ( findmin_pqp_res @ SV100 ) ) @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(612,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[379,611,610,605,604,603,600,598,597,591,590,589,588,585,583,563,562,561,546,535,534,533,515,509,486,454,453,452,434,433,432,429,410,409,405,401,400,399]) ).
thf(613,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( less_than @ U @ V )
& ( less_than @ V @ W ) )
=> ( less_than @ U @ W ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(614,plain,
( ( ! [U: $i,V: $i] :
( ( less_than @ U @ V )
| ( less_than @ V @ U ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(615,plain,
( ( ! [U: $i] : ( less_than @ U @ U ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(616,plain,
( ( ! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(617,plain,
( ( ! [U: $i] : ( less_than @ bottom @ U ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(618,plain,
( ( ~ ( isnonempty_slb @ create_slb ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(619,plain,
( ( ! [U: $i] :
~ ( contains_slb @ create_slb @ U ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(620,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(621,plain,
( ( ! [U: $i,V: $i] :
~ ( pair_in_list @ create_slb @ U @ V ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(622,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( remove_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(623,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(624,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( lookup_slb @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(625,plain,
( ( ! [U: $i] :
( ( update_slb @ create_slb @ U )
= create_slb ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(626,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( less_than @ W @ X )
=> ( ( update_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( update_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(627,plain,
( ( ! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( findmin_cpq_eff @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(628,plain,
( ( ! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(629,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( less_than @ Y @ X )
=> ( ( check_cpq @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
<=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(630,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(631,plain,
( ( ! [U: $i,V: $i] :
( ( ok @ ( triple @ U @ V @ bad ) )
<=> $false ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(632,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(633,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( contains_slb @ V @ X )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ U @ V @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(634,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( less_than @ ( lookup_slb @ V @ X ) @ X ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(635,plain,
( ( ! [U: $i,V: $i] :
( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
= ( triple @ U @ create_slb @ bad ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(636,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(637,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( strictly_less_than @ ( findmin_pqp_res @ U ) @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(638,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(639,plain,
( ( ! [U: $i,V: $i] :
( ( findmin_cpq_res @ ( triple @ U @ create_slb @ V ) )
= bottom ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(640,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( V != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pqp_res @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(641,plain,
( ( ! [U: $i] :
( ( removemin_cpq_eff @ U )
= ( remove_cpq @ ( findmin_cpq_eff @ U ) @ ( findmin_cpq_res @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(642,plain,
( ( ok @ ( findmin_cpq_eff @ ( triple @ sK1_U @ sK2_SY82 @ sK3_SY84 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(643,plain,
( ( ~ ( less_than @ ( lookup_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) @ ( findmin_pqp_res @ sK1_U ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(644,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
| ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ( ~ ( ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[620]) ).
thf(645,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ( contains_slb @ SX1 @ SX3 ) )
| ~ ( ~ ( contains_slb @ SX1 @ SX3 )
| ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[630]) ).
thf(646,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ( SX2 = bad ) ) )
= $true ),
inference(unfold_def,[status(thm)],[632]) ).
thf(647,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( contains_slb @ SX1 @ SX3 )
| ( ( remove_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( triple @ SX0 @ SX1 @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[633]) ).
thf(648,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ok @ ( triple @ SX0 @ SX1 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SX0 @ SX1 @ bad ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[631]) ).
thf(649,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[636]) ).
thf(650,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( less_than @ SX2 @ SX3 )
| ( ( update_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( insert_slb @ ( update_slb @ SX0 @ SX2 ) @ ( pair @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[626]) ).
thf(651,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SX0 ) @ ( lookup_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ bad ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[637]) ).
thf(652,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != SX2 ) )
| ~ ( contains_slb @ SX0 @ SX2 ) )
| ( ( lookup_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( lookup_slb @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[624]) ).
thf(653,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( strictly_less_than @ SX0 @ SX1 )
| ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ~ ( less_than @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ~ ( less_than @ SX1 @ SX0 ) )
| ( strictly_less_than @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[616]) ).
thf(654,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( less_than @ SX4 @ SX3 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ ( insert_slb @ SX1 @ ( pair @ SX3 @ SX4 ) ) @ SX2 ) )
| ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ( check_cpq @ ( triple @ SX0 @ ( insert_slb @ SX1 @ ( pair @ SX3 @ SX4 ) ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[629]) ).
thf(655,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX1 != create_slb ) )
| ~ ( contains_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) )
| ~ ( less_than @ ( lookup_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ ( findmin_pqp_res @ SX0 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( triple @ SX0 @ ( update_slb @ SX1 @ ( findmin_pqp_res @ SX0 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[638]) ).
thf(656,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( less_than @ SX0 @ SX1 )
| ~ ( less_than @ SX1 @ SX2 ) )
| ( less_than @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[613]) ).
thf(657,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ( SX1 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SX0 @ SX1 @ SX2 ) )
= ( findmin_pqp_res @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[640]) ).
thf(658,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( succ_cpq @ SX0 @ SX1 )
| ( succ_cpq @ SX0 @ ( findmin_cpq_eff @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[627]) ).
thf(659,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( contains_slb @ SX1 @ SX3 )
| ~ ( less_than @ ( lookup_slb @ SX1 @ SX3 ) @ SX3 ) )
| ( ( remove_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( triple @ ( remove_pqp @ SX0 @ SX3 ) @ ( remove_slb @ SX1 @ SX3 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[634]) ).
thf(660,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( ( SX1 != SX2 ) )
| ~ ( contains_slb @ SX0 @ SX2 ) )
| ( ( remove_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
= ( insert_slb @ ( remove_slb @ SX0 @ SX2 ) @ ( pair @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[622]) ).
thf(661,plain,
! [SV159: $i] :
( ( ! [SY271: $i] :
( ( less_than @ SV159 @ SY271 )
| ( less_than @ SY271 @ SV159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(662,plain,
! [SV160: $i] :
( ( less_than @ SV160 @ SV160 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(663,plain,
! [SV161: $i] :
( ( less_than @ bottom @ SV161 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(664,plain,
( ( isnonempty_slb @ create_slb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(665,plain,
! [SV162: $i] :
( ( ~ ( contains_slb @ create_slb @ SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(666,plain,
! [SV163: $i] :
( ( ! [SY272: $i] :
~ ( pair_in_list @ create_slb @ SV163 @ SY272 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(667,plain,
! [SV164: $i] :
( ( ! [SY273: $i,SY274: $i] :
( ( lookup_slb @ ( insert_slb @ SV164 @ ( pair @ SY273 @ SY274 ) ) @ SY273 )
= SY274 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(668,plain,
! [SV165: $i] :
( ( ( update_slb @ create_slb @ SV165 )
= create_slb )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(669,plain,
! [SV166: $i] :
( ( ! [SY275: $i] : ( check_cpq @ ( triple @ SV166 @ create_slb @ SY275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(670,plain,
! [SV167: $i] :
( ( ! [SY276: $i] :
( ( findmin_cpq_eff @ ( triple @ SV167 @ create_slb @ SY276 ) )
= ( triple @ SV167 @ create_slb @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(671,plain,
! [SV168: $i] :
( ( ! [SY277: $i] :
( ( findmin_cpq_res @ ( triple @ SV168 @ create_slb @ SY277 ) )
= bottom ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(672,plain,
! [SV169: $i] :
( ( ( removemin_cpq_eff @ SV169 )
= ( remove_cpq @ ( findmin_cpq_eff @ SV169 ) @ ( findmin_cpq_res @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(673,plain,
( ( less_than @ ( lookup_slb @ sK2_SY82 @ ( findmin_pqp_res @ sK1_U ) ) @ ( findmin_pqp_res @ sK1_U ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(674,plain,
! [SV170: $i] :
( ( ! [SY278: $i,SY279: $i,SY280: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SY278 @ SY280 ) ) @ SY279 )
| ( contains_slb @ SV170 @ SY279 )
| ( SY278 = SY279 ) )
| ~ ( ~ ( ( contains_slb @ SV170 @ SY279 )
| ( SY278 = SY279 ) )
| ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SY278 @ SY280 ) ) @ SY279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(675,plain,
! [SV171: $i] :
( ( ! [SY281: $i,SY282: $i,SY283: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV171 @ SY281 @ SY282 ) @ SY283 )
| ( contains_slb @ SY281 @ SY283 ) )
| ~ ( ~ ( contains_slb @ SY281 @ SY283 )
| ( contains_cpq @ ( triple @ SV171 @ SY281 @ SY282 ) @ SY283 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(676,plain,
! [SV172: $i] :
( ( ! [SY284: $i,SY285: $i] :
( ~ ~ ( ok @ ( triple @ SV172 @ SY284 @ SY285 ) )
| ( SY285 = bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(677,plain,
! [SV173: $i] :
( ( ! [SY286: $i,SY287: $i,SY288: $i] :
( ~ ~ ( contains_slb @ SY286 @ SY288 )
| ( ( remove_cpq @ ( triple @ SV173 @ SY286 @ SY287 ) @ SY288 )
= ( triple @ SV173 @ SY286 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(678,plain,
! [SV174: $i] :
( ( ! [SY289: $i] :
~ ( ~ ( ~ ( ok @ ( triple @ SV174 @ SY289 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV174 @ SY289 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(679,plain,
! [SV175: $i] :
( ( ! [SY290: $i,SY291: $i,SY292: $i] :
( ~ ~ ( ~ ( ( SY290 != create_slb ) )
| ~ ~ ( contains_slb @ SY290 @ ( findmin_pqp_res @ SV175 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV175 @ SY290 @ SY291 ) )
= ( triple @ SV175 @ ( update_slb @ SY290 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(680,plain,
! [SV176: $i] :
( ( ! [SY293: $i,SY294: $i,SY295: $i] :
( ~ ( less_than @ SY294 @ SY295 )
| ( ( update_slb @ ( insert_slb @ SV176 @ ( pair @ SY293 @ SY295 ) ) @ SY294 )
= ( insert_slb @ ( update_slb @ SV176 @ SY294 ) @ ( pair @ SY293 @ SY295 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(681,plain,
! [SV177: $i] :
( ( ! [SY296: $i,SY297: $i,SY298: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SY296 != create_slb ) )
| ~ ( contains_slb @ SY296 @ ( findmin_pqp_res @ SV177 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SY296 @ ( findmin_pqp_res @ SV177 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV177 @ SY296 @ SY297 ) )
= ( triple @ SV177 @ ( update_slb @ SY296 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(682,plain,
! [SV178: $i] :
( ( ! [SY299: $i,SY300: $i,SY301: $i] :
( ~ ~ ( ~ ( ( SY299 != SY300 ) )
| ~ ( contains_slb @ SV178 @ SY300 ) )
| ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SY299 @ SY301 ) ) @ SY300 )
= ( lookup_slb @ SV178 @ SY300 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(683,plain,
! [SV179: $i] :
( ( ! [SY302: $i] :
~ ( ~ ( ~ ( strictly_less_than @ SV179 @ SY302 )
| ~ ( ~ ( less_than @ SV179 @ SY302 )
| ~ ~ ( less_than @ SY302 @ SV179 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV179 @ SY302 )
| ~ ~ ( less_than @ SY302 @ SV179 ) )
| ( strictly_less_than @ SV179 @ SY302 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(684,plain,
! [SV180: $i] :
( ( ! [SY303: $i,SY304: $i,SY305: $i,SY306: $i] :
( ~ ( less_than @ SY306 @ SY305 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SY303 @ ( pair @ SY305 @ SY306 ) ) @ SY304 ) )
| ( check_cpq @ ( triple @ SV180 @ SY303 @ SY304 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SY303 @ SY304 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SY303 @ ( pair @ SY305 @ SY306 ) ) @ SY304 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(685,plain,
! [SV181: $i] :
( ( ! [SY307: $i,SY308: $i,SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SY307 != create_slb ) )
| ~ ( contains_slb @ SY307 @ ( findmin_pqp_res @ SV181 ) ) )
| ~ ( less_than @ ( lookup_slb @ SY307 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV181 @ SY307 @ SY308 ) )
= ( triple @ SV181 @ ( update_slb @ SY307 @ ( findmin_pqp_res @ SV181 ) ) @ SY308 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(686,plain,
! [SV182: $i] :
( ( ! [SY310: $i,SY311: $i] :
( ~ ~ ( ~ ( less_than @ SV182 @ SY310 )
| ~ ( less_than @ SY310 @ SY311 ) )
| ( less_than @ SV182 @ SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(687,plain,
! [SV183: $i] :
( ( ! [SY312: $i,SY313: $i,SY314: $i] :
( ~ ( ( SY312 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV183 @ SY312 @ SY313 ) )
= ( findmin_pqp_res @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(688,plain,
! [SV184: $i] :
( ( ! [SY315: $i] :
( ~ ( succ_cpq @ SV184 @ SY315 )
| ( succ_cpq @ SV184 @ ( findmin_cpq_eff @ SY315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(689,plain,
! [SV185: $i] :
( ( ! [SY316: $i,SY317: $i,SY318: $i] :
( ~ ~ ( ~ ( contains_slb @ SY316 @ SY318 )
| ~ ( less_than @ ( lookup_slb @ SY316 @ SY318 ) @ SY318 ) )
| ( ( remove_cpq @ ( triple @ SV185 @ SY316 @ SY317 ) @ SY318 )
= ( triple @ ( remove_pqp @ SV185 @ SY318 ) @ ( remove_slb @ SY316 @ SY318 ) @ SY317 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(690,plain,
! [SV186: $i] :
( ( ! [SY319: $i,SY320: $i,SY321: $i] :
( ~ ~ ( ~ ( ( SY319 != SY320 ) )
| ~ ( contains_slb @ SV186 @ SY320 ) )
| ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SY319 @ SY321 ) ) @ SY320 )
= ( insert_slb @ ( remove_slb @ SV186 @ SY320 ) @ ( pair @ SY319 @ SY321 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(691,plain,
! [SV187: $i,SV159: $i] :
( ( ( less_than @ SV159 @ SV187 )
| ( less_than @ SV187 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(692,plain,
! [SV162: $i] :
( ( contains_slb @ create_slb @ SV162 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(693,plain,
! [SV188: $i,SV163: $i] :
( ( ~ ( pair_in_list @ create_slb @ SV163 @ SV188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(694,plain,
! [SV189: $i,SV164: $i] :
( ( ! [SY322: $i] :
( ( lookup_slb @ ( insert_slb @ SV164 @ ( pair @ SV189 @ SY322 ) ) @ SV189 )
= SY322 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(695,plain,
! [SV190: $i,SV166: $i] :
( ( check_cpq @ ( triple @ SV166 @ create_slb @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(696,plain,
! [SV191: $i,SV167: $i] :
( ( ( findmin_cpq_eff @ ( triple @ SV167 @ create_slb @ SV191 ) )
= ( triple @ SV167 @ create_slb @ bad ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(697,plain,
! [SV192: $i,SV168: $i] :
( ( ( findmin_cpq_res @ ( triple @ SV168 @ create_slb @ SV192 ) )
= bottom )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(698,plain,
! [SV193: $i,SV170: $i] :
( ( ! [SY323: $i,SY324: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SY324 ) ) @ SY323 )
| ( contains_slb @ SV170 @ SY323 )
| ( SV193 = SY323 ) )
| ~ ( ~ ( ( contains_slb @ SV170 @ SY323 )
| ( SV193 = SY323 ) )
| ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SY324 ) ) @ SY323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(699,plain,
! [SV194: $i,SV171: $i] :
( ( ! [SY325: $i,SY326: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV171 @ SV194 @ SY325 ) @ SY326 )
| ( contains_slb @ SV194 @ SY326 ) )
| ~ ( ~ ( contains_slb @ SV194 @ SY326 )
| ( contains_cpq @ ( triple @ SV171 @ SV194 @ SY325 ) @ SY326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(700,plain,
! [SV195: $i,SV172: $i] :
( ( ! [SY327: $i] :
( ~ ~ ( ok @ ( triple @ SV172 @ SV195 @ SY327 ) )
| ( SY327 = bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(701,plain,
! [SV173: $i,SV196: $i] :
( ( ! [SY328: $i,SY329: $i] :
( ~ ~ ( contains_slb @ SV196 @ SY329 )
| ( ( remove_cpq @ ( triple @ SV173 @ SV196 @ SY328 ) @ SY329 )
= ( triple @ SV173 @ SV196 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(702,plain,
! [SV197: $i,SV174: $i] :
( ( ~ ( ~ ( ~ ( ok @ ( triple @ SV174 @ SV197 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV174 @ SV197 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(703,plain,
! [SV175: $i,SV198: $i] :
( ( ! [SY330: $i,SY331: $i] :
( ~ ~ ( ~ ( ( SV198 != create_slb ) )
| ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SY330 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(704,plain,
! [SV199: $i,SV176: $i] :
( ( ! [SY332: $i,SY333: $i] :
( ~ ( less_than @ SY332 @ SY333 )
| ( ( update_slb @ ( insert_slb @ SV176 @ ( pair @ SV199 @ SY333 ) ) @ SY332 )
= ( insert_slb @ ( update_slb @ SV176 @ SY332 ) @ ( pair @ SV199 @ SY333 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(705,plain,
! [SV177: $i,SV200: $i] :
( ( ! [SY334: $i,SY335: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SY334 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(706,plain,
! [SV178: $i,SV201: $i] :
( ( ! [SY336: $i,SY337: $i] :
( ~ ~ ( ~ ( ( SV201 != SY336 ) )
| ~ ( contains_slb @ SV178 @ SY336 ) )
| ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SY337 ) ) @ SY336 )
= ( lookup_slb @ SV178 @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(707,plain,
! [SV202: $i,SV179: $i] :
( ( ~ ( ~ ( ~ ( strictly_less_than @ SV179 @ SV202 )
| ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) )
| ( strictly_less_than @ SV179 @ SV202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(708,plain,
! [SV203: $i,SV180: $i] :
( ( ! [SY338: $i,SY339: $i,SY340: $i] :
( ~ ( less_than @ SY340 @ SY339 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SY339 @ SY340 ) ) @ SY338 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SY338 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SY338 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SY339 @ SY340 ) ) @ SY338 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(709,plain,
! [SV181: $i,SV204: $i] :
( ( ! [SY341: $i,SY342: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SY341 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SY341 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(710,plain,
! [SV205: $i,SV182: $i] :
( ( ! [SY343: $i] :
( ~ ~ ( ~ ( less_than @ SV182 @ SV205 )
| ~ ( less_than @ SV205 @ SY343 ) )
| ( less_than @ SV182 @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(711,plain,
! [SV183: $i,SV206: $i] :
( ( ! [SY344: $i,SY345: $i] :
( ~ ( ( SV206 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV183 @ SV206 @ SY344 ) )
= ( findmin_pqp_res @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(712,plain,
! [SV207: $i,SV184: $i] :
( ( ~ ( succ_cpq @ SV184 @ SV207 )
| ( succ_cpq @ SV184 @ ( findmin_cpq_eff @ SV207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(713,plain,
! [SV185: $i,SV208: $i] :
( ( ! [SY346: $i,SY347: $i] :
( ~ ~ ( ~ ( contains_slb @ SV208 @ SY347 )
| ~ ( less_than @ ( lookup_slb @ SV208 @ SY347 ) @ SY347 ) )
| ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SY346 ) @ SY347 )
= ( triple @ ( remove_pqp @ SV185 @ SY347 ) @ ( remove_slb @ SV208 @ SY347 ) @ SY346 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(714,plain,
! [SV186: $i,SV209: $i] :
( ( ! [SY348: $i,SY349: $i] :
( ~ ~ ( ~ ( ( SV209 != SY348 ) )
| ~ ( contains_slb @ SV186 @ SY348 ) )
| ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SY349 ) ) @ SY348 )
= ( insert_slb @ ( remove_slb @ SV186 @ SY348 ) @ ( pair @ SV209 @ SY349 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(715,plain,
! [SV187: $i,SV159: $i] :
( ( ( less_than @ SV159 @ SV187 )
= $true )
| ( ( less_than @ SV187 @ SV159 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[691]) ).
thf(716,plain,
! [SV188: $i,SV163: $i] :
( ( pair_in_list @ create_slb @ SV163 @ SV188 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(717,plain,
! [SV210: $i,SV189: $i,SV164: $i] :
( ( ( lookup_slb @ ( insert_slb @ SV164 @ ( pair @ SV189 @ SV210 ) ) @ SV189 )
= SV210 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(718,plain,
! [SV211: $i,SV193: $i,SV170: $i] :
( ( ! [SY350: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SY350 ) ) @ SV211 )
| ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
| ~ ( ~ ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
| ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SY350 ) ) @ SV211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(719,plain,
! [SV212: $i,SV194: $i,SV171: $i] :
( ( ! [SY351: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SY351 )
| ( contains_slb @ SV194 @ SY351 ) )
| ~ ( ~ ( contains_slb @ SV194 @ SY351 )
| ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SY351 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(720,plain,
! [SV213: $i,SV195: $i,SV172: $i] :
( ( ~ ~ ( ok @ ( triple @ SV172 @ SV195 @ SV213 ) )
| ( SV213 = bad ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(721,plain,
! [SV214: $i,SV173: $i,SV196: $i] :
( ( ! [SY352: $i] :
( ~ ~ ( contains_slb @ SV196 @ SY352 )
| ( ( remove_cpq @ ( triple @ SV173 @ SV196 @ SV214 ) @ SY352 )
= ( triple @ SV173 @ SV196 @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(722,plain,
! [SV197: $i,SV174: $i] :
( ( ~ ( ~ ( ok @ ( triple @ SV174 @ SV197 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV174 @ SV197 @ bad ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(723,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ! [SY353: $i] :
( ~ ~ ( ~ ( ( SV198 != create_slb ) )
| ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(724,plain,
! [SV199: $i,SV176: $i,SV216: $i] :
( ( ! [SY354: $i] :
( ~ ( less_than @ SV216 @ SY354 )
| ( ( update_slb @ ( insert_slb @ SV176 @ ( pair @ SV199 @ SY354 ) ) @ SV216 )
= ( insert_slb @ ( update_slb @ SV176 @ SV216 ) @ ( pair @ SV199 @ SY354 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(725,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ! [SY355: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(726,plain,
! [SV178: $i,SV218: $i,SV201: $i] :
( ( ! [SY356: $i] :
( ~ ~ ( ~ ( ( SV201 != SV218 ) )
| ~ ( contains_slb @ SV178 @ SV218 ) )
| ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SY356 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(727,plain,
! [SV202: $i,SV179: $i] :
( ( ~ ( ~ ( strictly_less_than @ SV179 @ SV202 )
| ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) ) )
| ~ ( ~ ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) )
| ( strictly_less_than @ SV179 @ SV202 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(728,plain,
! [SV219: $i,SV203: $i,SV180: $i] :
( ( ! [SY357: $i,SY358: $i] :
( ~ ( less_than @ SY358 @ SY357 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SY357 @ SY358 ) ) @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SY357 @ SY358 ) ) @ SV219 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(729,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ! [SY359: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(730,plain,
! [SV221: $i,SV205: $i,SV182: $i] :
( ( ~ ~ ( ~ ( less_than @ SV182 @ SV205 )
| ~ ( less_than @ SV205 @ SV221 ) )
| ( less_than @ SV182 @ SV221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(731,plain,
! [SV222: $i,SV183: $i,SV206: $i] :
( ( ! [SY360: $i] :
( ~ ( ( SV206 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV183 @ SV206 @ SV222 ) )
= ( findmin_pqp_res @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(732,plain,
! [SV207: $i,SV184: $i] :
( ( ( ~ ( succ_cpq @ SV184 @ SV207 ) )
= $true )
| ( ( succ_cpq @ SV184 @ ( findmin_cpq_eff @ SV207 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(733,plain,
! [SV223: $i,SV185: $i,SV208: $i] :
( ( ! [SY361: $i] :
( ~ ~ ( ~ ( contains_slb @ SV208 @ SY361 )
| ~ ( less_than @ ( lookup_slb @ SV208 @ SY361 ) @ SY361 ) )
| ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SV223 ) @ SY361 )
= ( triple @ ( remove_pqp @ SV185 @ SY361 ) @ ( remove_slb @ SV208 @ SY361 ) @ SV223 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(734,plain,
! [SV186: $i,SV224: $i,SV209: $i] :
( ( ! [SY362: $i] :
( ~ ~ ( ~ ( ( SV209 != SV224 ) )
| ~ ( contains_slb @ SV186 @ SV224 ) )
| ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SY362 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SY362 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(735,plain,
! [SV211: $i,SV225: $i,SV193: $i,SV170: $i] :
( ( ~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
| ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
| ~ ( ~ ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
| ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(736,plain,
! [SV226: $i,SV212: $i,SV194: $i,SV171: $i] :
( ( ~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 )
| ( contains_slb @ SV194 @ SV226 ) )
| ~ ( ~ ( contains_slb @ SV194 @ SV226 )
| ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(737,plain,
! [SV213: $i,SV195: $i,SV172: $i] :
( ( ( ~ ~ ( ok @ ( triple @ SV172 @ SV195 @ SV213 ) ) )
= $true )
| ( ( SV213 = bad )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(738,plain,
! [SV214: $i,SV173: $i,SV227: $i,SV196: $i] :
( ( ~ ~ ( contains_slb @ SV196 @ SV227 )
| ( ( remove_cpq @ ( triple @ SV173 @ SV196 @ SV214 ) @ SV227 )
= ( triple @ SV173 @ SV196 @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(739,plain,
! [SV197: $i,SV174: $i] :
( ( ~ ( ~ ( ok @ ( triple @ SV174 @ SV197 @ bad ) )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(740,plain,
! [SV197: $i,SV174: $i] :
( ( ~ ( ~ $false
| ( ok @ ( triple @ SV174 @ SV197 @ bad ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(741,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ~ ~ ( ~ ( ( SV198 != create_slb ) )
| ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(742,plain,
! [SV199: $i,SV176: $i,SV229: $i,SV216: $i] :
( ( ~ ( less_than @ SV216 @ SV229 )
| ( ( update_slb @ ( insert_slb @ SV176 @ ( pair @ SV199 @ SV229 ) ) @ SV216 )
= ( insert_slb @ ( update_slb @ SV176 @ SV216 ) @ ( pair @ SV199 @ SV229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(743,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(744,plain,
! [SV231: $i,SV178: $i,SV218: $i,SV201: $i] :
( ( ~ ~ ( ~ ( ( SV201 != SV218 ) )
| ~ ( contains_slb @ SV178 @ SV218 ) )
| ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SV231 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(745,plain,
! [SV202: $i,SV179: $i] :
( ( ~ ( ~ ( strictly_less_than @ SV179 @ SV202 )
| ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(746,plain,
! [SV202: $i,SV179: $i] :
( ( ~ ( ~ ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) )
| ( strictly_less_than @ SV179 @ SV202 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(747,plain,
! [SV219: $i,SV203: $i,SV180: $i,SV232: $i] :
( ( ! [SY363: $i] :
( ~ ( less_than @ SY363 @ SV232 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SY363 ) ) @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SY363 ) ) @ SV219 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(748,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
| ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(749,plain,
! [SV221: $i,SV205: $i,SV182: $i] :
( ( ( ~ ~ ( ~ ( less_than @ SV182 @ SV205 )
| ~ ( less_than @ SV205 @ SV221 ) ) )
= $true )
| ( ( less_than @ SV182 @ SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(750,plain,
! [SV222: $i,SV183: $i,SV206: $i] :
( ( ~ ( ( SV206 != create_slb ) )
| ( ( findmin_cpq_res @ ( triple @ SV183 @ SV206 @ SV222 ) )
= ( findmin_pqp_res @ SV183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(751,plain,
! [SV207: $i,SV184: $i] :
( ( ( succ_cpq @ SV184 @ SV207 )
= $false )
| ( ( succ_cpq @ SV184 @ ( findmin_cpq_eff @ SV207 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(752,plain,
! [SV223: $i,SV185: $i,SV235: $i,SV208: $i] :
( ( ~ ~ ( ~ ( contains_slb @ SV208 @ SV235 )
| ~ ( less_than @ ( lookup_slb @ SV208 @ SV235 ) @ SV235 ) )
| ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SV223 ) @ SV235 )
= ( triple @ ( remove_pqp @ SV185 @ SV235 ) @ ( remove_slb @ SV208 @ SV235 ) @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(753,plain,
! [SV236: $i,SV186: $i,SV224: $i,SV209: $i] :
( ( ~ ~ ( ~ ( ( SV209 != SV224 ) )
| ~ ( contains_slb @ SV186 @ SV224 ) )
| ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SV236 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SV236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(754,plain,
! [SV211: $i,SV225: $i,SV193: $i,SV170: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
| ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
| ~ ( ~ ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
| ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(755,plain,
! [SV226: $i,SV212: $i,SV194: $i,SV171: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 )
| ( contains_slb @ SV194 @ SV226 ) )
| ~ ( ~ ( contains_slb @ SV194 @ SV226 )
| ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(756,plain,
! [SV213: $i,SV195: $i,SV172: $i] :
( ( ( ~ ( ok @ ( triple @ SV172 @ SV195 @ SV213 ) ) )
= $false )
| ( ( SV213 = bad )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(757,plain,
! [SV214: $i,SV173: $i,SV227: $i,SV196: $i] :
( ( ( ~ ~ ( contains_slb @ SV196 @ SV227 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV173 @ SV196 @ SV214 ) @ SV227 )
= ( triple @ SV173 @ SV196 @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(758,plain,
! [SV197: $i,SV174: $i] :
( ( ~ ( ok @ ( triple @ SV174 @ SV197 @ bad ) )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(759,plain,
! [SV197: $i,SV174: $i] :
( ( ~ $false
| ( ok @ ( triple @ SV174 @ SV197 @ bad ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(760,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ( ~ ~ ( ~ ( ( SV198 != create_slb ) )
| ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(761,plain,
! [SV199: $i,SV176: $i,SV229: $i,SV216: $i] :
( ( ( ~ ( less_than @ SV216 @ SV229 ) )
= $true )
| ( ( ( update_slb @ ( insert_slb @ SV176 @ ( pair @ SV199 @ SV229 ) ) @ SV216 )
= ( insert_slb @ ( update_slb @ SV176 @ SV216 ) @ ( pair @ SV199 @ SV229 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(762,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(763,plain,
! [SV231: $i,SV178: $i,SV218: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ( ( SV201 != SV218 ) )
| ~ ( contains_slb @ SV178 @ SV218 ) ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SV231 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(764,plain,
! [SV202: $i,SV179: $i] :
( ( ~ ( strictly_less_than @ SV179 @ SV202 )
| ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(765,plain,
! [SV202: $i,SV179: $i] :
( ( ~ ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) )
| ( strictly_less_than @ SV179 @ SV202 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(766,plain,
! [SV219: $i,SV203: $i,SV180: $i,SV232: $i,SV237: $i] :
( ( ~ ( less_than @ SV237 @ SV232 )
| ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(767,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(768,plain,
! [SV221: $i,SV205: $i,SV182: $i] :
( ( ( ~ ( ~ ( less_than @ SV182 @ SV205 )
| ~ ( less_than @ SV205 @ SV221 ) ) )
= $false )
| ( ( less_than @ SV182 @ SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(769,plain,
! [SV222: $i,SV183: $i,SV206: $i] :
( ( ( ~ ( ( SV206 != create_slb ) ) )
= $true )
| ( ( ( findmin_cpq_res @ ( triple @ SV183 @ SV206 @ SV222 ) )
= ( findmin_pqp_res @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(770,plain,
! [SV223: $i,SV185: $i,SV235: $i,SV208: $i] :
( ( ( ~ ~ ( ~ ( contains_slb @ SV208 @ SV235 )
| ~ ( less_than @ ( lookup_slb @ SV208 @ SV235 ) @ SV235 ) ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SV223 ) @ SV235 )
= ( triple @ ( remove_pqp @ SV185 @ SV235 ) @ ( remove_slb @ SV208 @ SV235 ) @ SV223 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(771,plain,
! [SV236: $i,SV186: $i,SV224: $i,SV209: $i] :
( ( ( ~ ~ ( ~ ( ( SV209 != SV224 ) )
| ~ ( contains_slb @ SV186 @ SV224 ) ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SV236 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(772,plain,
! [SV211: $i,SV225: $i,SV193: $i,SV170: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
| ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(773,plain,
! [SV225: $i,SV193: $i,SV211: $i,SV170: $i] :
( ( ~ ( ~ ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
| ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(774,plain,
! [SV226: $i,SV212: $i,SV194: $i,SV171: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 )
| ( contains_slb @ SV194 @ SV226 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(775,plain,
! [SV212: $i,SV171: $i,SV226: $i,SV194: $i] :
( ( ~ ( ~ ( contains_slb @ SV194 @ SV226 )
| ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(776,plain,
! [SV213: $i,SV195: $i,SV172: $i] :
( ( ( ok @ ( triple @ SV172 @ SV195 @ SV213 ) )
= $true )
| ( ( SV213 = bad )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(777,plain,
! [SV214: $i,SV173: $i,SV227: $i,SV196: $i] :
( ( ( ~ ( contains_slb @ SV196 @ SV227 ) )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV173 @ SV196 @ SV214 ) @ SV227 )
= ( triple @ SV173 @ SV196 @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(778,plain,
! [SV197: $i,SV174: $i] :
( ( ( ~ ( ok @ ( triple @ SV174 @ SV197 @ bad ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(779,plain,
! [SV197: $i,SV174: $i] :
( ( ( ~ $false ) = $true )
| ( ( ok @ ( triple @ SV174 @ SV197 @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(780,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ( ~ ( ~ ( ( SV198 != create_slb ) )
| ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(781,plain,
! [SV199: $i,SV176: $i,SV229: $i,SV216: $i] :
( ( ( less_than @ SV216 @ SV229 )
= $false )
| ( ( ( update_slb @ ( insert_slb @ SV176 @ ( pair @ SV199 @ SV229 ) ) @ SV216 )
= ( insert_slb @ ( update_slb @ SV176 @ SV216 ) @ ( pair @ SV199 @ SV229 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(782,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(783,plain,
! [SV231: $i,SV178: $i,SV218: $i,SV201: $i] :
( ( ( ~ ( ~ ( ( SV201 != SV218 ) )
| ~ ( contains_slb @ SV178 @ SV218 ) ) )
= $false )
| ( ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SV231 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(784,plain,
! [SV202: $i,SV179: $i] :
( ( ( ~ ( strictly_less_than @ SV179 @ SV202 ) )
= $true )
| ( ( ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(785,plain,
! [SV202: $i,SV179: $i] :
( ( ( ~ ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) ) )
= $true )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(786,plain,
! [SV219: $i,SV203: $i,SV180: $i,SV232: $i,SV237: $i] :
( ( ( ~ ( less_than @ SV237 @ SV232 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(787,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(788,plain,
! [SV221: $i,SV205: $i,SV182: $i] :
( ( ( ~ ( less_than @ SV182 @ SV205 )
| ~ ( less_than @ SV205 @ SV221 ) )
= $true )
| ( ( less_than @ SV182 @ SV221 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(789,plain,
! [SV222: $i,SV183: $i,SV206: $i] :
( ( ( SV206 != create_slb )
= $false )
| ( ( ( findmin_cpq_res @ ( triple @ SV183 @ SV206 @ SV222 ) )
= ( findmin_pqp_res @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(790,plain,
! [SV223: $i,SV185: $i,SV235: $i,SV208: $i] :
( ( ( ~ ( ~ ( contains_slb @ SV208 @ SV235 )
| ~ ( less_than @ ( lookup_slb @ SV208 @ SV235 ) @ SV235 ) ) )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SV223 ) @ SV235 )
= ( triple @ ( remove_pqp @ SV185 @ SV235 ) @ ( remove_slb @ SV208 @ SV235 ) @ SV223 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(791,plain,
! [SV236: $i,SV186: $i,SV224: $i,SV209: $i] :
( ( ( ~ ( ~ ( ( SV209 != SV224 ) )
| ~ ( contains_slb @ SV186 @ SV224 ) ) )
= $false )
| ( ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SV236 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(792,plain,
! [SV211: $i,SV225: $i,SV193: $i,SV170: $i] :
( ( ~ ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
| ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(793,plain,
! [SV225: $i,SV193: $i,SV211: $i,SV170: $i] :
( ( ~ ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
| ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(794,plain,
! [SV226: $i,SV212: $i,SV194: $i,SV171: $i] :
( ( ~ ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 )
| ( contains_slb @ SV194 @ SV226 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(795,plain,
! [SV212: $i,SV171: $i,SV226: $i,SV194: $i] :
( ( ~ ( contains_slb @ SV194 @ SV226 )
| ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(796,plain,
! [SV214: $i,SV173: $i,SV227: $i,SV196: $i] :
( ( ( contains_slb @ SV196 @ SV227 )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV173 @ SV196 @ SV214 ) @ SV227 )
= ( triple @ SV173 @ SV196 @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(797,plain,
! [SV197: $i,SV174: $i] :
( ( ( ok @ ( triple @ SV174 @ SV197 @ bad ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(798,plain,
! [SV197: $i,SV174: $i] :
( ( $false = $false )
| ( ( ok @ ( triple @ SV174 @ SV197 @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(799,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ( ~ ( ( SV198 != create_slb ) )
| ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(800,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(801,plain,
! [SV231: $i,SV178: $i,SV218: $i,SV201: $i] :
( ( ( ~ ( ( SV201 != SV218 ) )
| ~ ( contains_slb @ SV178 @ SV218 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SV231 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(802,plain,
! [SV202: $i,SV179: $i] :
( ( ( strictly_less_than @ SV179 @ SV202 )
= $false )
| ( ( ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(803,plain,
! [SV202: $i,SV179: $i] :
( ( ( ~ ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) ) )
= $false )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(804,plain,
! [SV219: $i,SV203: $i,SV180: $i,SV232: $i,SV237: $i] :
( ( ( less_than @ SV237 @ SV232 )
= $false )
| ( ( ~ ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(805,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( ~ ~ ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
| ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(806,plain,
! [SV221: $i,SV205: $i,SV182: $i] :
( ( ( ~ ( less_than @ SV182 @ SV205 ) )
= $true )
| ( ( ~ ( less_than @ SV205 @ SV221 ) )
= $true )
| ( ( less_than @ SV182 @ SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(807,plain,
! [SV222: $i,SV183: $i,SV206: $i] :
( ( ( SV206 = create_slb )
= $true )
| ( ( ( findmin_cpq_res @ ( triple @ SV183 @ SV206 @ SV222 ) )
= ( findmin_pqp_res @ SV183 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(808,plain,
! [SV223: $i,SV185: $i,SV235: $i,SV208: $i] :
( ( ( ~ ( contains_slb @ SV208 @ SV235 )
| ~ ( less_than @ ( lookup_slb @ SV208 @ SV235 ) @ SV235 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SV223 ) @ SV235 )
= ( triple @ ( remove_pqp @ SV185 @ SV235 ) @ ( remove_slb @ SV208 @ SV235 ) @ SV223 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(809,plain,
! [SV236: $i,SV186: $i,SV224: $i,SV209: $i] :
( ( ( ~ ( ( SV209 != SV224 ) )
| ~ ( contains_slb @ SV186 @ SV224 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SV236 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(810,plain,
! [SV211: $i,SV225: $i,SV193: $i,SV170: $i] :
( ( ( ~ ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 ) )
= $true )
| ( ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(811,plain,
! [SV225: $i,SV193: $i,SV211: $i,SV170: $i] :
( ( ( ~ ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) ) )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(812,plain,
! [SV226: $i,SV212: $i,SV194: $i,SV171: $i] :
( ( ( ~ ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 ) )
= $true )
| ( ( contains_slb @ SV194 @ SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(813,plain,
! [SV212: $i,SV171: $i,SV226: $i,SV194: $i] :
( ( ( ~ ( contains_slb @ SV194 @ SV226 ) )
= $true )
| ( ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(814,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ( ~ ( ( SV198 != create_slb ) ) )
= $true )
| ( ( ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(815,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(816,plain,
! [SV231: $i,SV178: $i,SV218: $i,SV201: $i] :
( ( ( ~ ( ( SV201 != SV218 ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV178 @ SV218 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SV231 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(817,plain,
! [SV202: $i,SV179: $i] :
( ( ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) )
= $false )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(818,plain,
! [SV202: $i,SV179: $i] :
( ( ( ~ ( less_than @ SV179 @ SV202 )
| ~ ~ ( less_than @ SV202 @ SV179 ) )
= $true )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(819,plain,
! [SV219: $i,SV237: $i,SV232: $i,SV203: $i,SV180: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) )
| ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) ) ) )
= $false )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(820,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( ~ ~ ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(821,plain,
! [SV221: $i,SV205: $i,SV182: $i] :
( ( ( less_than @ SV182 @ SV205 )
= $false )
| ( ( ~ ( less_than @ SV205 @ SV221 ) )
= $true )
| ( ( less_than @ SV182 @ SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(822,plain,
! [SV223: $i,SV185: $i,SV235: $i,SV208: $i] :
( ( ( ~ ( contains_slb @ SV208 @ SV235 ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV208 @ SV235 ) @ SV235 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SV223 ) @ SV235 )
= ( triple @ ( remove_pqp @ SV185 @ SV235 ) @ ( remove_slb @ SV208 @ SV235 ) @ SV223 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(823,plain,
! [SV236: $i,SV186: $i,SV224: $i,SV209: $i] :
( ( ( ~ ( ( SV209 != SV224 ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV186 @ SV224 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SV236 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(824,plain,
! [SV211: $i,SV225: $i,SV193: $i,SV170: $i] :
( ( ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
= $false )
| ( ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(825,plain,
! [SV225: $i,SV193: $i,SV211: $i,SV170: $i] :
( ( ( ( contains_slb @ SV170 @ SV211 )
| ( SV193 = SV211 ) )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(826,plain,
! [SV226: $i,SV212: $i,SV194: $i,SV171: $i] :
( ( ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 )
= $false )
| ( ( contains_slb @ SV194 @ SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(827,plain,
! [SV212: $i,SV171: $i,SV226: $i,SV194: $i] :
( ( ( contains_slb @ SV194 @ SV226 )
= $false )
| ( ( contains_cpq @ ( triple @ SV171 @ SV194 @ SV212 ) @ SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(828,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ( SV198 != create_slb )
= $false )
| ( ( ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(829,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( ~ ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $false )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(830,plain,
! [SV231: $i,SV178: $i,SV218: $i,SV201: $i] :
( ( ( SV201 != SV218 )
= $false )
| ( ( ~ ( contains_slb @ SV178 @ SV218 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SV231 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(831,plain,
! [SV202: $i,SV179: $i] :
( ( ( ~ ( less_than @ SV179 @ SV202 ) )
= $false )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(832,plain,
! [SV179: $i,SV202: $i] :
( ( ( ~ ~ ( less_than @ SV202 @ SV179 ) )
= $false )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(833,plain,
! [SV202: $i,SV179: $i] :
( ( ( ~ ( less_than @ SV179 @ SV202 ) )
= $true )
| ( ( ~ ~ ( less_than @ SV202 @ SV179 ) )
= $true )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(834,plain,
! [SV219: $i,SV237: $i,SV232: $i,SV203: $i,SV180: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) ) )
= $false )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(835,plain,
! [SV237: $i,SV232: $i,SV219: $i,SV203: $i,SV180: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) ) ) )
= $false )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(836,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( ~ ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) ) )
= $false )
| ( ( ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(837,plain,
! [SV182: $i,SV221: $i,SV205: $i] :
( ( ( less_than @ SV205 @ SV221 )
= $false )
| ( ( less_than @ SV182 @ SV205 )
= $false )
| ( ( less_than @ SV182 @ SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(838,plain,
! [SV223: $i,SV185: $i,SV235: $i,SV208: $i] :
( ( ( contains_slb @ SV208 @ SV235 )
= $false )
| ( ( ~ ( less_than @ ( lookup_slb @ SV208 @ SV235 ) @ SV235 ) )
= $true )
| ( ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SV223 ) @ SV235 )
= ( triple @ ( remove_pqp @ SV185 @ SV235 ) @ ( remove_slb @ SV208 @ SV235 ) @ SV223 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(839,plain,
! [SV236: $i,SV186: $i,SV224: $i,SV209: $i] :
( ( ( SV209 != SV224 )
= $false )
| ( ( ~ ( contains_slb @ SV186 @ SV224 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SV236 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(840,plain,
! [SV225: $i,SV193: $i,SV211: $i,SV170: $i] :
( ( ( contains_slb @ SV170 @ SV211 )
= $true )
| ( ( SV193 = SV211 )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(841,plain,
! [SV225: $i,SV193: $i,SV211: $i,SV170: $i] :
( ( ( contains_slb @ SV170 @ SV211 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(842,plain,
! [SV225: $i,SV170: $i,SV211: $i,SV193: $i] :
( ( ( SV193 = SV211 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV170 @ ( pair @ SV193 @ SV225 ) ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(843,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ( SV198 = create_slb )
= $true )
| ( ( ~ ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(844,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( ~ ( ( SV200 != create_slb ) )
| ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(845,plain,
! [SV231: $i,SV178: $i,SV218: $i,SV201: $i] :
( ( ( SV201 = SV218 )
= $true )
| ( ( ~ ( contains_slb @ SV178 @ SV218 ) )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SV231 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[830]) ).
thf(846,plain,
! [SV202: $i,SV179: $i] :
( ( ( less_than @ SV179 @ SV202 )
= $true )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(847,plain,
! [SV179: $i,SV202: $i] :
( ( ( ~ ( less_than @ SV202 @ SV179 ) )
= $true )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(848,plain,
! [SV202: $i,SV179: $i] :
( ( ( less_than @ SV179 @ SV202 )
= $false )
| ( ( ~ ~ ( less_than @ SV202 @ SV179 ) )
= $true )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(849,plain,
! [SV219: $i,SV237: $i,SV232: $i,SV203: $i,SV180: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) )
= $true )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(850,plain,
! [SV237: $i,SV232: $i,SV219: $i,SV203: $i,SV180: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
| ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) ) )
= $true )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(851,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( ~ ( ( SV204 != create_slb ) )
| ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(852,plain,
! [SV223: $i,SV185: $i,SV235: $i,SV208: $i] :
( ( ( less_than @ ( lookup_slb @ SV208 @ SV235 ) @ SV235 )
= $false )
| ( ( contains_slb @ SV208 @ SV235 )
= $false )
| ( ( ( remove_cpq @ ( triple @ SV185 @ SV208 @ SV223 ) @ SV235 )
= ( triple @ ( remove_pqp @ SV185 @ SV235 ) @ ( remove_slb @ SV208 @ SV235 ) @ SV223 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(853,plain,
! [SV236: $i,SV186: $i,SV224: $i,SV209: $i] :
( ( ( SV209 = SV224 )
= $true )
| ( ( ~ ( contains_slb @ SV186 @ SV224 ) )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SV236 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(854,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ( ~ ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) )
= $false )
| ( ( SV198 = create_slb )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(855,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( ~ ( ( SV200 != create_slb ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(856,plain,
! [SV231: $i,SV201: $i,SV218: $i,SV178: $i] :
( ( ( contains_slb @ SV178 @ SV218 )
= $false )
| ( ( SV201 = SV218 )
= $true )
| ( ( ( lookup_slb @ ( insert_slb @ SV178 @ ( pair @ SV201 @ SV231 ) ) @ SV218 )
= ( lookup_slb @ SV178 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(857,plain,
! [SV179: $i,SV202: $i] :
( ( ( less_than @ SV202 @ SV179 )
= $false )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(858,plain,
! [SV179: $i,SV202: $i] :
( ( ( ~ ( less_than @ SV202 @ SV179 ) )
= $false )
| ( ( less_than @ SV179 @ SV202 )
= $false )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(859,plain,
! [SV219: $i,SV237: $i,SV232: $i,SV203: $i,SV180: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
= $true )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(860,plain,
! [SV237: $i,SV232: $i,SV219: $i,SV203: $i,SV180: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
= $true )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(861,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( ~ ( ( SV204 != create_slb ) ) )
= $true )
| ( ( ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(862,plain,
! [SV236: $i,SV209: $i,SV224: $i,SV186: $i] :
( ( ( contains_slb @ SV186 @ SV224 )
= $false )
| ( ( SV209 = SV224 )
= $true )
| ( ( ( remove_slb @ ( insert_slb @ SV186 @ ( pair @ SV209 @ SV236 ) ) @ SV224 )
= ( insert_slb @ ( remove_slb @ SV186 @ SV224 ) @ ( pair @ SV209 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(863,plain,
! [SV215: $i,SV175: $i,SV198: $i] :
( ( ( contains_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) )
= $true )
| ( ( SV198 = create_slb )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV175 @ SV198 @ SV215 ) )
= ( triple @ SV175 @ ( update_slb @ SV198 @ ( findmin_pqp_res @ SV175 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(864,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( SV200 != create_slb )
= $false )
| ( ( ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(865,plain,
! [SV179: $i,SV202: $i] :
( ( ( less_than @ SV202 @ SV179 )
= $true )
| ( ( less_than @ SV179 @ SV202 )
= $false )
| ( ( strictly_less_than @ SV179 @ SV202 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(866,plain,
! [SV219: $i,SV237: $i,SV232: $i,SV203: $i,SV180: $i] :
( ( ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
= $true )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(867,plain,
! [SV237: $i,SV232: $i,SV219: $i,SV203: $i,SV180: $i] :
( ( ( check_cpq @ ( triple @ SV180 @ SV203 @ SV219 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV180 @ ( insert_slb @ SV203 @ ( pair @ SV232 @ SV237 ) ) @ SV219 ) )
= $true )
| ( ( less_than @ SV237 @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(868,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( SV204 != create_slb )
= $false )
| ( ( ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(869,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( SV200 = create_slb )
= $true )
| ( ( ~ ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(870,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( SV204 = create_slb )
= $true )
| ( ( ~ ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(871,plain,
! [SV217: $i,SV177: $i,SV200: $i] :
( ( ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) )
= $false )
| ( ( SV200 = create_slb )
= $true )
| ( ( ~ ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(872,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) )
= $false )
| ( ( SV204 = create_slb )
= $true )
| ( ( ~ ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) ) )
= $true )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(873,plain,
! [SV217: $i,SV200: $i,SV177: $i] :
( ( ( strictly_less_than @ ( findmin_pqp_res @ SV177 ) @ ( lookup_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) )
= $false )
| ( ( SV200 = create_slb )
= $true )
| ( ( contains_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV177 @ SV200 @ SV217 ) )
= ( triple @ SV177 @ ( update_slb @ SV200 @ ( findmin_pqp_res @ SV177 ) ) @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(874,plain,
! [SV220: $i,SV181: $i,SV204: $i] :
( ( ( less_than @ ( lookup_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ ( findmin_pqp_res @ SV181 ) )
= $false )
| ( ( SV204 = create_slb )
= $true )
| ( ( contains_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) )
= $false )
| ( ( ( findmin_cpq_eff @ ( triple @ SV181 @ SV204 @ SV220 ) )
= ( triple @ SV181 @ ( update_slb @ SV204 @ ( findmin_pqp_res @ SV181 ) ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(875,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[642,874,873,867,866,865,863,862,857,856,852,846,842,841,840,837,827,826,807,798,797,796,781,776,751,717,716,715,697,696,695,692,673,672,668,664,663,662]) ).
thf(876,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[875,349,612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV374+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.20 % Computer : n007.cluster.edu
% 0.13/0.20 % Model : x86_64 x86_64
% 0.13/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.20 % Memory : 8046.5625MB
% 0.13/0.20 % OS : Linux 6.8.0-71-generic
% 0.13/0.20 % CPULimit : 300
% 0.13/0.20 % WCLimit : 300
% 0.13/0.20 % DateTime : Tue Oct 6 16:25:00 UTC 2026
% 0.13/0.20 % CPUTime :
% 0.13/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.42/1.36
% 6.42/1.36 No.of.Axioms: 29
% 6.42/1.36
% 6.42/1.36 Length.of.Defs: 0
% 6.42/1.36
% 6.42/1.36 Contains.Choice.Funs: false
% 6.42/1.36 .................................
% 6.42/1.36
% 6.42/1.36 ********************************
% 6.42/1.36 * All subproblems solved! *
% 6.42/1.36 ********************************
% 6.42/1.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:875,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.42/1.36
% 6.42/1.36 %**** Beginning of derivation protocol ****
% 6.42/1.36 % SZS output start CNFRefutation
% See solution above
% 6.42/1.36
% 6.42/1.36 %**** End of derivation protocol ****
% 6.42/1.36 %**** no. of clauses in derivation: 864 ****
% 6.42/1.36 %**** clause counter: 875 ****
% 6.42/1.36
% 6.42/1.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:875,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------