%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO309^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n005.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 11:08:02 AM UTC 2026
% Result : Theorem 5.46s 1.19s
% Output : CNFRefutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 1
% Syntax : Number of formulae : 318 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 2237 ( 912 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 7345 (2222 ~; 589 |; 0 &;4520 @)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 277 ( 277 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 1187 ( 676 ^; 495 !; 16 ?;1187 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cQ,type,
cQ: $i > $i ).
thf(tp_cR,type,
cR: $i > $i > $o ).
thf(tp_cS,type,
cS: $i > $i ).
thf(tp_sK1_SY9,type,
sK1_SY9: ( $i > $o ) > $i ).
thf(tp_sK2_SY7,type,
sK2_SY7: $i > $i ).
thf(tp_sK3_SY8,type,
sK3_SY8: $i > $i ).
thf(tp_sK4_E,type,
sK4_E: ( $i > $i > $o ) > $i ).
thf(1,conjecture,
( ! [Xx: $i] :
( ? [Xu: $i] : ( cR @ Xx @ ( cQ @ Xu ) )
<=> ~ ? [Xv: $i] : ( cR @ ( cS @ Xx ) @ ( cQ @ Xv ) ) )
=> ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( cS @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEO1) ).
thf(2,negated_conjecture,
( ( ! [Xx: $i] :
( ? [Xu: $i] : ( cR @ Xx @ ( cQ @ Xu ) )
<=> ~ ? [Xv: $i] : ( cR @ ( cS @ Xx ) @ ( cQ @ Xv ) ) )
=> ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( cS @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: $i] :
( ? [Xu: $i] : ( cR @ Xx @ ( cQ @ Xu ) )
<=> ~ ? [Xv: $i] : ( cR @ ( cS @ Xx ) @ ( cQ @ Xv ) ) )
=> ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( cS @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: $i] :
( ? [Xu: $i] : ( cR @ Xx @ ( cQ @ Xu ) )
<=> ~ ? [Xv: $i] : ( cR @ ( cS @ Xx ) @ ( cQ @ Xv ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( cS @ Xx ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( cS @ Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [Xx: $i] :
( ? [Xu: $i] : ( cR @ Xx @ ( cQ @ Xu ) )
<=> ~ ? [Xv: $i] : ( cR @ ( cS @ Xx ) @ ( cQ @ Xv ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( cS @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ~ ! [SX0: $i > $o] :
~ ! [SX1: $i] :
~ ( ~ ( ~ ( SX0 @ SX1 )
| ~ ( SX0 @ ( cS @ SX1 ) ) )
| ~ ( ~ ~ ( SX0 @ ( cS @ SX1 ) )
| ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( cR @ SX0 @ ( cQ @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ( cR @ ( cS @ SX0 ) @ ( cQ @ SX1 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( cR @ ( cS @ SX0 ) @ ( cQ @ SX1 ) )
| ~ ! [SX1: $i] :
~ ( cR @ SX0 @ ( cQ @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ! [SX0: $i > $o] :
~ ! [SX1: $i] :
~ ( ~ ( ~ ( SX0 @ SX1 )
| ~ ( SX0 @ ( cS @ SX1 ) ) )
| ~ ( ~ ~ ( SX0 @ ( cS @ SX1 ) )
| ( SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY5: $i] :
~ ( cR @ SV1 @ ( cQ @ SY5 ) )
| ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
| ~ ( ~ ~ ~ ! [SY7: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY7 ) )
| ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ! [SX0: $i > $o] :
~ ! [SX1: $i] :
~ ( ~ ( ~ ( SX0 @ SX1 )
| ~ ( SX0 @ ( cS @ SX1 ) ) )
| ~ ( ~ ~ ( SX0 @ ( cS @ SX1 ) )
| ( SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ! [SY5: $i] :
~ ( cR @ SV1 @ ( cQ @ SY5 ) )
| ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
| ~ ( ~ ~ ~ ! [SY7: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY7 ) )
| ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: $i > $o] :
( ( ~ ! [SY9: $i] :
~ ( ~ ( ~ ( SV2 @ SY9 )
| ~ ( SV2 @ ( cS @ SY9 ) ) )
| ~ ( ~ ~ ( SV2 @ ( cS @ SY9 ) )
| ( SV2 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ! [SY5: $i] :
~ ( cR @ SV1 @ ( cQ @ SY5 ) )
| ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ~ ! [SY7: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY7 ) )
| ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i > $o] :
( ( ! [SY9: $i] :
~ ( ~ ( ~ ( SV2 @ SY9 )
| ~ ( SV2 @ ( cS @ SY9 ) ) )
| ~ ( ~ ~ ( SV2 @ ( cS @ SY9 ) )
| ( SV2 @ SY9 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: $i] :
( ( ~ ~ ! [SY5: $i] :
~ ( cR @ SV1 @ ( cQ @ SY5 ) )
| ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: $i] :
( ( ~ ~ ~ ! [SY7: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY7 ) )
| ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i > $o] :
( ( ~ ( ~ ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) )
| ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
| ~ ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(22,plain,
! [SV1: $i] :
( ( ( ~ ~ ! [SY5: $i] :
~ ( cR @ SV1 @ ( cQ @ SY5 ) ) )
= $true )
| ( ( ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: $i] :
( ( ( ~ ~ ~ ! [SY7: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i > $o] :
( ( ~ ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) )
| ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
| ~ ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: $i] :
( ( ( ~ ! [SY5: $i] :
~ ( cR @ SV1 @ ( cQ @ SY5 ) ) )
= $false )
| ( ( ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: $i] :
( ( ( ~ ~ ! [SY7: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY7 ) ) )
= $false )
| ( ( ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: $i > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) )
| ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
~ ( cR @ SV1 @ ( cQ @ SY5 ) ) )
= $true )
| ( ( ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV1: $i] :
( ( ( ~ ! [SY7: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) )
| ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( cR @ SV1 @ ( cQ @ SV3 ) ) )
= $true )
| ( ( ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY7 ) ) )
= $false )
| ( ( ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV3: $i,SV1: $i] :
( ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false )
| ( ( ~ ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: $i] :
( ( ( ~ ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(37,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
= $false )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: $i] :
( ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV2: $i > $o] :
( ( ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV2: $i > $o] :
( ( ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: $i,SV1: $i] :
( ( ( ! [SY6: $i] :
~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SY6 ) ) )
= $true )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
~ ( cR @ SV1 @ ( cQ @ SY8 ) ) )
= $false )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV2: $i > $o] :
( ( ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV3: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) ) )
= $true )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV1: $i] :
( ( ( ~ ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) ) )
= $false )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(51,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV3: $i,SV4: $i,SV1: $i] :
( ( ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
= $false )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV1: $i] :
( ( ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) )
= $true )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false )
| ( ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[48]) ).
thf(59,plain,
! [SV3: $i,SV4: $i,SV1: $i] :
( ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false )
| ( ( ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
= ( cR @ SV1 @ ( cQ @ SV3 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[53]) ).
thf(60,plain,
! [SV1: $i] :
( ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true )
| ( ( ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) )
= ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[54]) ).
thf(61,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[55]) ).
thf(65,plain,
! [SV2: $i > $o] :
( ( ( ~ ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
| ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
| ~ ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) )
| ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV2: $i > $o] :
( ( ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV3: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
| ( cR @ SV1 @ ( cQ @ SV3 ) ) )
| ~ ( ~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
| ~ ( cR @ SV1 @ ( cQ @ SV3 ) ) ) )
= $false )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[59]) ).
thf(69,plain,
! [SV1: $i] :
( ( ( ~ ( ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) )
| ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) ) )
| ~ ( ~ ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) )
| ~ ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) ) ) )
= $false )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[60]) ).
thf(71,plain,
! [SV2: $i > $o] :
( ( ( ~ ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
| ~ ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[61]) ).
thf(72,plain,
! [SV2: $i > $o] :
( ( ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[61]) ).
thf(78,plain,
! [SV2: $i > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) )
| ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(80,plain,
! [SV3: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( ~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
| ~ ( cR @ SV1 @ ( cQ @ SV3 ) ) ) )
= $false )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(81,plain,
! [SV1: $i] :
( ( ( ~ ( ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) )
| ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) ) ) )
= $false )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(84,plain,
! [SV2: $i > $o] :
( ( ( ~ ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(90,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) )
| ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(92,plain,
! [SV3: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
| ~ ( cR @ SV1 @ ( cQ @ SV3 ) ) )
= $true )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(93,plain,
! [SV1: $i] :
( ( ( ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) )
| ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) ) )
= $true )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(96,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(102,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
= $true )
| ( ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV3: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) ) )
= $true )
| ( ( ~ ( cR @ SV1 @ ( cQ @ SV3 ) ) )
= $true )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV1: $i] :
( ( ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) )
= $true )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $true )
| ( ( ~ ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(114,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false )
| ( ( ~ ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV3: $i,SV4: $i,SV1: $i] :
( ( ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
= $false )
| ( ( ~ ( cR @ SV1 @ ( cQ @ SV3 ) ) )
= $true )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( ~ ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(123,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
= $false )
| ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(125,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(128,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(129,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $true )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(142,plain,
! [SV37: $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV37 @ SX0 ) ) ) ) ) ))]]) ).
thf(143,plain,
! [SV34: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[66:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV34 @ SX0 ) ) ) ) ))]]) ).
thf(146,plain,
! [SV31: $i > $o] :
( ( ( ~ ~ ~ ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV31
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV31 @ SX0 ) ) ) ))]]) ).
thf(147,plain,
! [SV28: $i > $o] :
( ( ( ~ ~ ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV28
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[66:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( SV28 @ SX0 ) ) ))]]) ).
thf(150,plain,
! [SV25: $i > $o] :
( ( ( ~ ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV25
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV25 @ SX0 ) ))]]) ).
thf(152,plain,
! [SV55: $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[72:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV55 @ SX0 ) ) ) ) ) ))]]) ).
thf(153,plain,
! [SV52: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[72:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV52 @ SX0 ) ) ) ) ))]]) ).
thf(156,plain,
! [SV49: $i > $o] :
( ( ( ~ ~ ~ ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV49
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[72:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV49 @ SX0 ) ) ) ))]]) ).
thf(157,plain,
! [SV46: $i > $o] :
( ( ( ~ ~ ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV46
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[72:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( SV46 @ SX0 ) ) ))]]) ).
thf(160,plain,
! [SV43: $i > $o] :
( ( ( ~ ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV43
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[72:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV43 @ SX0 ) ))]]) ).
thf(181,plain,
! [SV25: $i > $o] :
( ( ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV25
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(184,plain,
! [SV28: $i > $o] :
( ( ( ~ ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV28
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(185,plain,
! [SV31: $i > $o] :
( ( ( ~ ~ ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV31
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(188,plain,
! [SV34: $i > $o] :
( ( ( ~ ~ ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(189,plain,
! [SV37: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(191,plain,
! [SV43: $i > $o] :
( ( ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV43
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(194,plain,
! [SV46: $i > $o] :
( ( ( ~ ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV46
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(195,plain,
! [SV49: $i > $o] :
( ( ( ~ ~ ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV49
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(198,plain,
! [SV52: $i > $o] :
( ( ( ~ ~ ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(199,plain,
! [SV55: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(221,plain,
! [SV25: $i > $o] :
( ( ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV25
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(224,plain,
! [SV28: $i > $o] :
( ( ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV28
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(225,plain,
! [SV31: $i > $o] :
( ( ( ~ ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV31
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(228,plain,
! [SV34: $i > $o] :
( ( ( ~ ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(229,plain,
! [SV37: $i > $o] :
( ( ( ~ ~ ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(231,plain,
! [SV43: $i > $o] :
( ( ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV43
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(234,plain,
! [SV46: $i > $o] :
( ( ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV46
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(235,plain,
! [SV49: $i > $o] :
( ( ( ~ ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV49
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(238,plain,
! [SV52: $i > $o] :
( ( ( ~ ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(239,plain,
! [SV55: $i > $o] :
( ( ( ~ ~ ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(261,plain,
! [SV25: $i > $o] :
( ( ( ~ ( SV25
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) ) )
= $true )
| ( ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(264,plain,
! [SV28: $i > $o] :
( ( ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) )
= $false )
| ( ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV28
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(265,plain,
! [SV31: $i > $o] :
( ( ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV31
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(268,plain,
! [SV34: $i > $o] :
( ( ( ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(269,plain,
! [SV37: $i > $o] :
( ( ( ~ ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(271,plain,
! [SV43: $i > $o] :
( ( ( ~ ( SV43
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(274,plain,
! [SV46: $i > $o] :
( ( ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false )
| ( ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV46
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(275,plain,
! [SV49: $i > $o] :
( ( ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV49
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(278,plain,
! [SV52: $i > $o] :
( ( ( ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(279,plain,
! [SV55: $i > $o] :
( ( ( ~ ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(301,plain,
! [SV25: $i > $o] :
( ( ( SV25
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(304,plain,
! [SV28: $i > $o] :
( ( ( ~ ( SV28
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) ) )
= $false )
| ( ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) )
= $false )
| ( ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(305,plain,
! [SV31: $i > $o] :
( ( ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) )
= $true )
| ( ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV31
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(308,plain,
! [SV34: $i > $o] :
( ( ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(309,plain,
! [SV37: $i > $o] :
( ( ( ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(311,plain,
! [SV43: $i > $o] :
( ( ( SV43
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) )
= $false )
| ( ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(314,plain,
! [SV46: $i > $o] :
( ( ( ~ ( SV46
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false )
| ( ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false )
| ( ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(315,plain,
! [SV49: $i > $o] :
( ( ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV49
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(318,plain,
! [SV52: $i > $o] :
( ( ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(319,plain,
! [SV55: $i > $o] :
( ( ( ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(340,plain,
! [SV28: $i > $o] :
( ( ( SV28
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) )
= $true )
| ( ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) )
= $false )
| ( ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(341,plain,
! [SV31: $i > $o] :
( ( ( ~ ( SV31
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) ) )
= $true )
| ( ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) )
= $true )
| ( ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(344,plain,
! [SV34: $i > $o] :
( ( ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) )
= $false )
| ( ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(345,plain,
! [SV37: $i > $o] :
( ( ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(348,plain,
! [SV46: $i > $o] :
( ( ( SV46
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) )
= $true )
| ( ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false )
| ( ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(349,plain,
! [SV49: $i > $o] :
( ( ( ~ ( SV49
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(352,plain,
! [SV52: $i > $o] :
( ( ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false )
| ( ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(353,plain,
! [SV55: $i > $o] :
( ( ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(369,plain,
! [SV31: $i > $o] :
( ( ( SV31
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) )
= $true )
| ( ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(372,plain,
! [SV34: $i > $o] :
( ( ( ~ ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) ) )
= $false )
| ( ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) )
= $false )
| ( ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(373,plain,
! [SV37: $i > $o] :
( ( ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) )
= $true )
| ( ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(375,plain,
! [SV49: $i > $o] :
( ( ( SV49
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) )
= $false )
| ( ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(378,plain,
! [SV52: $i > $o] :
( ( ( ~ ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false )
| ( ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false )
| ( ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(379,plain,
! [SV55: $i > $o] :
( ( ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true )
| ( ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(392,plain,
! [SV34: $i > $o] :
( ( ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) )
= $false )
| ( ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(393,plain,
! [SV37: $i > $o] :
( ( ( ~ ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $true )
| ( ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) )
= $true )
| ( ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(396,plain,
! [SV52: $i > $o] :
( ( ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) )
= $true )
| ( ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false )
| ( ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(397,plain,
! [SV55: $i > $o] :
( ( ( ~ ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true )
| ( ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true )
| ( ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(405,plain,
! [SV37: $i > $o] :
( ( ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) )
= $true )
| ( ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(407,plain,
! [SV55: $i > $o] :
( ( ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) )
= $false )
| ( ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true )
| ( ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(411,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $false ) ),
inference(sim,[status(thm)],[128]) ).
thf(412,plain,
! [SV25: $i > $o] :
( ( ( SV25
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( SV25
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV25 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[301]) ).
thf(413,plain,
! [SV28: $i > $o] :
( ( ( SV28
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) ) )
= $true )
| ( ( SV28
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV28 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[340]) ).
thf(414,plain,
! [SV31: $i > $o] :
( ( ( SV31
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( SV31
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV31 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[369]) ).
thf(415,plain,
! [SV34: $i > $o] :
( ( ( SV34
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( SV34
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV34 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[392]) ).
thf(416,plain,
! [SV37: $i > $o] :
( ( ( SV37
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[405]) ).
thf(417,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ( cR @ SV1 @ ( cQ @ SV3 ) )
= $false )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ SV4 ) )
= $false ) ),
inference(sim,[status(thm)],[123]) ).
thf(418,plain,
! [SV1: $i] :
( ( ( cR @ SV1 @ ( cQ @ ( sK3_SY8 @ SV1 ) ) )
= $true )
| ( ( cR @ ( cS @ SV1 ) @ ( cQ @ ( sK2_SY7 @ SV1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[105]) ).
thf(419,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( sK1_SY9 @ SV2 ) )
= $true )
| ( ( SV2 @ ( cS @ ( sK1_SY9 @ SV2 ) ) )
= $false ) ),
inference(sim,[status(thm)],[129]) ).
thf(420,plain,
! [SV43: $i > $o] :
( ( ( SV43
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) )
= $false )
| ( ( SV43
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV43 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[311]) ).
thf(421,plain,
! [SV46: $i > $o] :
( ( ( SV46
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) )
= $true )
| ( ( SV46
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[348]) ).
thf(422,plain,
! [SV49: $i > $o] :
( ( ( SV49
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) )
= $false )
| ( ( SV49
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV49 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[375]) ).
thf(423,plain,
! [SV52: $i > $o] :
( ( ( SV52
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) )
= $true )
| ( ( SV52
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV52 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[396]) ).
thf(424,plain,
! [SV55: $i > $o] :
( ( ( SV55
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) )
= $false )
| ( ( SV55
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV55 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[407]) ).
thf(425,plain,
! [SV77: $i > $o] :
( ( ( SV77 @ ( sK1_SY9 @ SV77 ) )
= $false )
| ( ( SV77 @ ( cS @ ( sK1_SY9 @ SV77 ) ) )
= $true ) ),
inference(rename,[status(thm)],[48]) ).
thf(428,plain,
! [SV77: $i > $o] :
( ( ( SV77 @ ( sK1_SY9 @ SV77 ) )
= $false )
| ( ( ( SV77 @ ( sK1_SY9 @ SV77 ) )
= ( ~ ( SV77 @ ( cS @ ( sK1_SY9 @ SV77 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[425]) ).
thf(430,plain,
! [SV92: $i > $o] :
( ( ( ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ~ ~ ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[428:[bind(SV77,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV92 @ SX0 ) ) ) ) ) ))]]) ).
thf(431,plain,
! [SV89: $i > $o] :
( ( ( ~ ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ~ ~ ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[428:[bind(SV77,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV89 @ SX0 ) ) ) ) ))]]) ).
thf(434,plain,
! [SV86: $i > $o] :
( ( ( ~ ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV86
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ~ ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[428:[bind(SV77,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV86 @ SX0 ) ) ) ))]]) ).
thf(435,plain,
! [SV83: $i > $o] :
( ( ( ~ ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV83
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[428:[bind(SV77,$thf( ^ [SX0: $i] : ~ ( ~ ( SV83 @ SX0 ) ) ))]]) ).
thf(438,plain,
! [SV80: $i > $o] :
( ( ( ~ ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV80
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[428:[bind(SV77,$thf( ^ [SX0: $i] : ~ ( SV80 @ SX0 ) ))]]) ).
thf(439,plain,
! [SV80: $i > $o] :
( ( ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV80
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(442,plain,
! [SV83: $i > $o] :
( ( ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV83
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(443,plain,
! [SV86: $i > $o] :
( ( ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV86
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ~ ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(446,plain,
! [SV89: $i > $o] :
( ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ~ ~ ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(447,plain,
! [SV92: $i > $o] :
( ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ~ ~ ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(449,plain,
! [SV80: $i > $o] :
( ( ( ~ ( SV80
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) ) )
= $true )
| ( ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(452,plain,
! [SV83: $i > $o] :
( ( ( ~ ( SV83
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) ) )
= $false )
| ( ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(453,plain,
! [SV86: $i > $o] :
( ( ( ~ ( SV86
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) ) )
= $true )
| ( ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ~ ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(456,plain,
! [SV89: $i > $o] :
( ( ( ~ ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) ) )
= $false )
| ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ~ ~ ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(457,plain,
! [SV92: $i > $o] :
( ( ( ~ ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) ) )
= $true )
| ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ~ ~ ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(459,plain,
! [SV80: $i > $o] :
( ( ( SV80
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) )
= $false )
| ( ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(462,plain,
! [SV83: $i > $o] :
( ( ( SV83
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $true )
| ( ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(463,plain,
! [SV86: $i > $o] :
( ( ( SV86
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false )
| ( ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ~ ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(466,plain,
! [SV89: $i > $o] :
( ( ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true )
| ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ~ ~ ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(467,plain,
! [SV92: $i > $o] :
( ( ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false )
| ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ~ ~ ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(469,plain,
! [SV80: $i > $o] :
( ( ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) )
= $true )
| ( ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) )
= $true )
| ( ( SV80
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(472,plain,
! [SV83: $i > $o] :
( ( ( ~ ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $true )
| ( ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) )
= $false )
| ( ( SV83
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(473,plain,
! [SV86: $i > $o] :
( ( ( ~ ~ ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $true )
| ( ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) )
= $true )
| ( ( SV86
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(476,plain,
! [SV89: $i > $o] :
( ( ( ~ ~ ~ ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true )
| ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(477,plain,
! [SV92: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $true )
| ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(480,plain,
! [SV83: $i > $o] :
( ( ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) )
= $false )
| ( ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) )
= $false )
| ( ( SV83
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(481,plain,
! [SV86: $i > $o] :
( ( ( ~ ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false )
| ( ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) )
= $true )
| ( ( SV86
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(484,plain,
! [SV89: $i > $o] :
( ( ( ~ ~ ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $false )
| ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(485,plain,
! [SV92: $i > $o] :
( ( ( ~ ~ ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false )
| ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(487,plain,
! [SV86: $i > $o] :
( ( ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) )
= $true )
| ( ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) )
= $true )
| ( ( SV86
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(490,plain,
! [SV89: $i > $o] :
( ( ( ~ ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true )
| ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(491,plain,
! [SV92: $i > $o] :
( ( ( ~ ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $true )
| ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(494,plain,
! [SV89: $i > $o] :
( ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(495,plain,
! [SV92: $i > $o] :
( ( ( ~ ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false )
| ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(497,plain,
! [SV92: $i > $o] :
( ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(499,plain,
! [SV80: $i > $o] :
( ( ( SV80
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) )
= $true )
| ( ( SV80
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV80 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[469]) ).
thf(500,plain,
! [SV83: $i > $o] :
( ( ( SV83
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) )
= $false )
| ( ( SV83
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV83 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[480]) ).
thf(501,plain,
! [SV86: $i > $o] :
( ( ( SV86
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) )
= $true )
| ( ( SV86
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV86 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[487]) ).
thf(502,plain,
! [SV89: $i > $o] :
( ( ( SV89
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) )
= $false )
| ( ( SV89
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV89 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[494]) ).
thf(503,plain,
! [SV92: $i > $o] :
( ( ( SV92
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) )
= $true )
| ( ( SV92
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV92 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[497]) ).
thf(504,plain,
! [SV96: $i,SV97: $i,SV98: $i] :
( ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false )
| ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false ) ),
inference(rename,[status(thm)],[53]) ).
thf(508,plain,
! [SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $true ) ),
inference(rename,[status(thm)],[54]) ).
thf(509,plain,
! [SV99: $i,SV96: $i,SV97: $i,SV98: $i] :
( ( ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= ( cR @ SV98 @ ( cQ @ SV96 ) ) )
= $false )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false ) ),
inference(res,[status(thm)],[508,504]) ).
thf(510,plain,
! [SV99: $i,SV96: $i,SV97: $i,SV98: $i] :
( ( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= ( cR @ SV98 @ ( cQ @ SV96 ) ) )
= $false )
| ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $true )
| ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false ) ),
inference(res,[status(thm)],[508,504]) ).
thf(511,plain,
! [SV99: $i,SV96: $i,SV97: $i,SV98: $i] :
( ( ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) ) )
= $false )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false ) ),
inference(res,[status(thm)],[508,504]) ).
thf(512,plain,
! [SV99: $i,SV96: $i,SV97: $i,SV98: $i] :
( ( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) ) )
= $false )
| ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $true )
| ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false ) ),
inference(res,[status(thm)],[508,504]) ).
thf(516,plain,
! [SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR @ ( cS @ ( cS @ SV98 ) ) @ ( cQ @ ( sK2_SY7 @ ( cS @ SV98 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[512:[bind(SV97,$thf( sK3_SY8 @ ( cS @ SV98 ) )),bind(SV99,$thf( cS @ SV98 ))]]) ).
thf(517,plain,
! [SV97: $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR @ ( cS @ ( cS @ SV98 ) ) @ ( cQ @ ( sK2_SY7 @ ( cS @ SV98 ) ) ) )
= $true )
| ( ( ( cQ @ ( sK3_SY8 @ ( cS @ SV98 ) ) )
= ( cQ @ SV97 ) )
= $false ) ),
inference(extuni,[status(esa)],[512:[bind(SV99,$thf( cS @ SV98 ))]]) ).
thf(518,plain,
! [SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR @ SV98 @ ( cQ @ ( sK3_SY8 @ SV98 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[511:[bind(SV97,$thf( sK2_SY7 @ SV98 )),bind(SV99,$thf( SV98 ))]]) ).
thf(519,plain,
! [SV97: $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR @ SV98 @ ( cQ @ ( sK3_SY8 @ SV98 ) ) )
= $true )
| ( ( ( cQ @ ( sK2_SY7 @ SV98 ) )
= ( cQ @ SV97 ) )
= $false ) ),
inference(extuni,[status(esa)],[511:[bind(SV99,$thf( SV98 ))]]) ).
thf(520,plain,
! [SV99: $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( ( cS @ SV99 )
= ( cS @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[511:[bind(SV97,$thf( sK2_SY7 @ SV99 ))]]) ).
thf(521,plain,
! [SV97: $i,SV99: $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( ( cQ @ ( sK2_SY7 @ SV99 ) )
= ( cQ @ SV97 ) )
= $false )
| ( ( ( cS @ SV99 )
= ( cS @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[511]) ).
thf(522,plain,
! [SV97: $i,SV98: $i] :
( ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false )
| ( ( cR @ ( cS @ SV98 ) @ ( cQ @ ( sK2_SY7 @ SV98 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[510:[bind(SV96,$thf( sK3_SY8 @ SV98 )),bind(SV99,$thf( SV98 ))]]) ).
thf(523,plain,
! [SV96: $i,SV97: $i,SV98: $i] :
( ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false )
| ( ( cR @ ( cS @ SV98 ) @ ( cQ @ ( sK2_SY7 @ SV98 ) ) )
= $true )
| ( ( ( cQ @ ( sK3_SY8 @ SV98 ) )
= ( cQ @ SV96 ) )
= $false ) ),
inference(extuni,[status(esa)],[510:[bind(SV99,$thf( SV98 ))]]) ).
thf(524,plain,
! [SV97: $i,SV99: $i] :
( ( ( cR @ ( cS @ ( cS @ SV99 ) ) @ ( cQ @ SV97 ) )
= $false )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[509:[bind(SV96,$thf( sK2_SY7 @ SV99 )),bind(SV98,$thf( cS @ SV99 ))]]) ).
thf(525,plain,
! [SV96: $i,SV97: $i,SV99: $i] :
( ( ( cR @ ( cS @ ( cS @ SV99 ) ) @ ( cQ @ SV97 ) )
= $false )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( ( cQ @ ( sK2_SY7 @ SV99 ) )
= ( cQ @ SV96 ) )
= $false ) ),
inference(extuni,[status(esa)],[509:[bind(SV98,$thf( cS @ SV99 ))]]) ).
thf(526,plain,
! [SV100: $i > $o] :
( ( ( SV100 @ ( cS @ ( sK1_SY9 @ SV100 ) ) )
= $false )
| ( ( SV100 @ ( sK1_SY9 @ SV100 ) )
= $true ) ),
inference(rename,[status(thm)],[55]) ).
thf(529,plain,
! [SV100: $i > $o,SV99: $i] :
( ( ( ( SV100 @ ( cS @ ( sK1_SY9 @ SV100 ) ) )
= ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) ) )
= $false )
| ( ( SV100 @ ( sK1_SY9 @ SV100 ) )
= $true )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true ) ),
inference(res,[status(thm)],[526,508]) ).
thf(530,plain,
! [SV100: $i > $o,SV99: $i] :
( ( ( ( SV100 @ ( cS @ ( sK1_SY9 @ SV100 ) ) )
= ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) ) )
= $false )
| ( ( SV100 @ ( sK1_SY9 @ SV100 ) )
= $true )
| ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $true ) ),
inference(res,[status(thm)],[526,508]) ).
thf(531,plain,
! [SV100: $i > $o,SV96: $i,SV97: $i,SV98: $i] :
( ( ( ( SV100 @ ( sK1_SY9 @ SV100 ) )
= ( cR @ SV98 @ ( cQ @ SV96 ) ) )
= $false )
| ( ( SV100 @ ( cS @ ( sK1_SY9 @ SV100 ) ) )
= $false )
| ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false ) ),
inference(res,[status(thm)],[526,504]) ).
thf(532,plain,
! [SV100: $i > $o,SV96: $i,SV97: $i,SV98: $i] :
( ( ( ( SV100 @ ( sK1_SY9 @ SV100 ) )
= ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) ) )
= $false )
| ( ( SV100 @ ( cS @ ( sK1_SY9 @ SV100 ) ) )
= $false )
| ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false ) ),
inference(res,[status(thm)],[526,504]) ).
thf(535,plain,
! [SV100: $i > $o] :
( ( ( SV100 @ ( cS @ ( sK1_SY9 @ SV100 ) ) )
= $false )
| ( ( ( SV100 @ ( cS @ ( sK1_SY9 @ SV100 ) ) )
= ( ~ ( SV100 @ ( sK1_SY9 @ SV100 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[526]) ).
thf(536,plain,
! [SV96: $i,SV113: $i > $i,SV107: $i > $i] :
( ( ( cR
@ ( SV107
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) )
@ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( SV107
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( SV113
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV97,$thf( SV113 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) )),bind(SV98,$thf( SV107 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ))]]) ).
thf(537,plain,
! [SV97: $i,SV96: $i,SV113: $i > $i,SV107: $i > $i] :
( ( ( cR
@ ( SV107
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) )
@ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( SV107
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( SV113
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cQ
@ ( SV113
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) ) )
= ( cQ @ SV97 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV98,$thf( SV107 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV113 @ SX0 ) ) ) ))]]) ).
thf(538,plain,
! [SV97: $i,SV96: $i,SV107: $i > $i] :
( ( ( cR
@ ( SV107
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ) )
@ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( SV107
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) )
= ( cQ @ SV97 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV98,$thf( SV107 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(539,plain,
! [SV116: $i > $i,SV107: $i > $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( SV107
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( SV116
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS
@ ( SV107
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ) ) )
= ( cS @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV97,$thf( SV116 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ))]]) ).
thf(540,plain,
! [SV97: $i,SV116: $i > $i,SV107: $i > $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( SV107
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( SV116
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cQ
@ ( SV116
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ) ) )
= ( cQ @ SV97 ) )
= $false )
| ( ( ( cS
@ ( SV107
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ) ) )
= ( cS @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ ( cQ @ ( SV116 @ SX0 ) ) ) ))]]) ).
thf(541,plain,
! [SV97: $i,SV107: $i > $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( SV107
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) )
= ( cQ @ SV97 ) )
= $false )
| ( ( ( cS
@ ( SV107
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ) ) )
= ( cS @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV107 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(542,plain,
! [SV110: $i > $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) ) )
@ ( cQ
@ ( SV110
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) )
= ( cS @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV97,$thf( SV110 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) ))]]) ).
thf(543,plain,
! [SV97: $i,SV110: $i > $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) ) )
@ ( cQ
@ ( SV110
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cQ
@ ( SV110
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) ) ) )
= ( cQ @ SV97 ) )
= $false )
| ( ( ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) )
= ( cS @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV110 @ SX0 ) ) ) ))]]) ).
thf(544,plain,
! [SV97: $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) )
= ( cQ @ SV97 ) )
= $false )
| ( ( ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) )
= ( cS @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ))]]) ).
thf(545,plain,
! [SV97: $i,SV104: $i > $i,SV103: $i > $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( SV103
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) ) )
@ ( SV104
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cR
@ ( SV103
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) )
@ ( SV104
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) ) )
= $true )
| ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $true ) ),
inference(extuni,[status(esa)],[532:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ))]]) ).
thf(546,plain,
! [SV97: $i,SV104: $i > $i,SV103: $i > $i,SV96: $i,SV98: $i] :
( ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false )
| ( ( cR
@ ( SV103
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) ) )
@ ( SV104
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cR
@ ( SV103
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) )
@ ( SV104
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) ) )
= $false )
| ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false ) ),
inference(extuni,[status(esa)],[532:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ))]]) ).
thf(547,plain,
! [SV97: $i,SV123: $i > $i,SV119: $i > $i] :
( ( ( cR
@ ( cS
@ ( SV119
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) ) )
@ ( cQ @ SV97 ) )
= $false )
| ( ( cR
@ ( SV119
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( SV123
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[531:[bind(SV96,$thf( SV123 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) )),bind(SV98,$thf( SV119 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ))]]) ).
thf(548,plain,
! [SV96: $i,SV97: $i,SV123: $i > $i,SV119: $i > $i] :
( ( ( cR
@ ( cS
@ ( SV119
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) ) )
@ ( cQ @ SV97 ) )
= $false )
| ( ( cR
@ ( SV119
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( SV123
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cQ
@ ( SV123
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) ) )
= ( cQ @ SV96 ) )
= $false ) ),
inference(extuni,[status(esa)],[531:[bind(SV98,$thf( SV119 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( cQ @ ( SV123 @ SX0 ) ) ) ))]]) ).
thf(549,plain,
! [SV96: $i,SV97: $i,SV119: $i > $i] :
( ( ( cR
@ ( cS
@ ( SV119
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ SX0 ) ) ) )
@ ( cQ @ SV97 ) )
= $false )
| ( ( cR
@ ( SV119
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ SX0 ) )
= ( cQ @ SV96 ) )
= $false ) ),
inference(extuni,[status(esa)],[531:[bind(SV98,$thf( SV119 @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ SX0 ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ SX0 ) ))]]) ).
thf(550,plain,
! [SV96: $i,SV120: $i > $i,SV119: $i > $i,SV97: $i,SV98: $i] :
( ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false )
| ( ( cR
@ ( SV119
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ) ) )
@ ( SV120
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cR
@ ( SV119
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ) )
@ ( SV120
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ) ) )
= $true )
| ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $true ) ),
inference(extuni,[status(esa)],[531:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ))]]) ).
thf(551,plain,
! [SV96: $i,SV120: $i > $i,SV119: $i > $i,SV97: $i,SV98: $i] :
( ( ( cR @ ( cS @ SV98 ) @ ( cQ @ SV97 ) )
= $false )
| ( ( cR
@ ( SV119
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ) ) )
@ ( SV120
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cR
@ ( SV119
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ) )
@ ( SV120
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ) ) )
= $false )
| ( ( cR @ SV98 @ ( cQ @ SV96 ) )
= $false ) ),
inference(extuni,[status(esa)],[531:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV119 @ SX0 ) @ ( SV120 @ SX0 ) ) ))]]) ).
thf(552,plain,
! [SV126: $i > $i,SV133: $i > $i] :
( ( ( cR
@ ( cS
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV133
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV133
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) )
= ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[530:[bind(SV99,$thf( SV126 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ))]]) ).
thf(553,plain,
! [SV133: $i > $i,SV126: $i > $i] :
( ( ( cR
@ ( cS
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV133
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_SY8
@ ( SV133
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) )
= ( sK3_SY8
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[530:[bind(SV99,$thf( SV126 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( sK3_SY8 @ ( SV133 @ SX0 ) ) ) ) ))]]) ).
thf(554,plain,
! [SV126: $i > $i] :
( ( ( cR
@ ( cS
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ SX0 ) ) ) )
@ ( cQ
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ SX0 ) ) ) )
= ( sK3_SY8
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[530:[bind(SV99,$thf( SV126 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ SX0 ) ) ))]]) ).
thf(555,plain,
! [SV130: $i > $i,SV126: $i > $i] :
( ( ( cR
@ ( cS
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( SV130 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( SV130 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( SV130 @ SX0 ) ) ) ) )
@ ( cQ
@ ( SV130
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( SV130 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cQ
@ ( SV130
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( SV130 @ SX0 ) ) ) ) ) ) )
= ( cQ
@ ( sK3_SY8
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( SV130 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[530:[bind(SV99,$thf( SV126 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( SV130 @ SX0 ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( cQ @ ( SV130 @ SX0 ) ) ) ))]]) ).
thf(556,plain,
! [SV126: $i > $i] :
( ( ( cR
@ ( cS
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ SX0 ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ SX0 ) ) )
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ SX0 ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ SX0 ) ) )
= ( cQ
@ ( sK3_SY8
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[530:[bind(SV99,$thf( SV126 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ SX0 ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ SX0 ) ))]]) ).
thf(557,plain,
! [SV127: $i > $i,SV126: $i > $i,SV99: $i] :
( ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) )
@ ( SV127
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) ) )
@ ( SV127
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) ) ) )
= $true )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[530:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ))]]) ).
thf(558,plain,
! [SV127: $i > $i,SV126: $i > $i,SV99: $i] :
( ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) )
@ ( SV127
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) ) )
= $true )
| ( ( cR
@ ( SV126
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) ) )
@ ( SV127
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[530:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ))]]) ).
thf(559,plain,
! [SV140: $i > $i,SV167: $i > $i] :
( ( ( cR
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV167
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV167
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) )
= ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( SV140 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ))]]) ).
thf(560,plain,
! [SV167: $i > $i,SV140: $i > $i] :
( ( ( cR
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV167
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_SY7
@ ( SV167
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) ) )
= ( sK2_SY7
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( SV140 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV167 @ SX0 ) ) ) ) ))]]) ).
thf(561,plain,
! [SV140: $i > $i] :
( ( ( cR
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) )
@ ( cQ
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) )
= ( sK2_SY7
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( SV140 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ))]]) ).
thf(562,plain,
! [SV164: $i > $i,SV140: $i > $i] :
( ( ( cR
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV164 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV164 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV164 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( SV164
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV164 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cQ
@ ( SV164
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV164 @ SX0 ) ) ) ) ) ) )
= ( cQ
@ ( sK2_SY7
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV164 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( SV140 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV164 @ SX0 ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV164 @ SX0 ) ) ) ))]]) ).
thf(563,plain,
! [SV140: $i > $i] :
( ( ( cR
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) ) )
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) )
= ( cQ
@ ( sK2_SY7
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( SV140 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(564,plain,
! [SV140: $i > $i,SV173: $i > $i] :
( ( ( cR
@ ( SV173
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV173
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV173
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( cS
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( SV173
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( SV173 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ))]]) ).
thf(565,plain,
! [SV173: $i > $i,SV140: $i > $i,SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV173
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_SY7
@ ( SV173
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) ) )
= ( sK2_SY7 @ SV99 ) )
= $false )
| ( ( ( cS
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ) ) ) )
= ( cS @ SV99 ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( sK2_SY7 @ ( SV173 @ SX0 ) ) ) ) ))]]) ).
thf(566,plain,
! [SV140: $i > $i,SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) )
@ ( cQ
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) )
= ( sK2_SY7 @ SV99 ) )
= $false )
| ( ( ( cS
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ) ) ) )
= ( cS @ SV99 ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ SX0 ) ) ))]]) ).
thf(567,plain,
! [SV170: $i > $i,SV140: $i > $i,SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV170 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( SV170
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV170 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cQ
@ ( SV170
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV170 @ SX0 ) ) ) ) ) ) )
= ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $false )
| ( ( ( cS
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV170 @ SX0 ) ) ) ) ) ) )
= ( cS @ SV99 ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ ( cQ @ ( SV170 @ SX0 ) ) ) ))]]) ).
thf(568,plain,
! [SV140: $i > $i,SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( cS
@ ( SV140
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) ) )
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) )
= ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $false )
| ( ( ( cS
@ ( SV140
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( cS @ SV99 ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( cS @ ( SV140 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(569,plain,
! [SV149: $i > $i > $o] :
( ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( sK1_SY9 @ ( SV149 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( sK1_SY9 @ ( SV149 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( sK1_SY9 @ ( SV149 @ SX0 ) ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( sK1_SY9
@ ( SV149
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( sK1_SY9 @ ( SV149 @ SX0 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY9
@ ( SV149
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( sK1_SY9 @ ( SV149 @ SX0 ) ) ) ) ) ) ) ) )
= ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( sK1_SY9 @ ( SV149 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( sK1_SY9 @ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( sK1_SY9 @ ( SV149 @ SX0 ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( sK1_SY9 @ ( SV149 @ SX0 ) ) ) ) ) ))]]) ).
thf(570,plain,
( ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ SX0 ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ SX0 ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ SX0 ) ) ) ) )
= ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( sK1_SY9 @ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ SX0 ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ SX0 ) ) ) ))]]) ).
thf(571,plain,
! [SV146: $i > $i] :
( ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV146 @ SX0 ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV146 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV146 @ SX0 ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV146
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV146 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_SY7
@ ( SV146
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV146 @ SX0 ) ) ) ) ) ) ) )
= ( sK2_SY7
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV146 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( sK1_SY9 @ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV146 @ SX0 ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV146 @ SX0 ) ) ) ) ))]]) ).
thf(572,plain,
( ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ) ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) )
@ ( cQ
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ) )
= ( sK2_SY7
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( sK1_SY9 @ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ))]]) ).
thf(573,plain,
! [SV143: $i > $i] :
( ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV143 @ SX0 ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV143 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV143 @ SX0 ) ) ) )
@ ( cQ
@ ( SV143
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV143 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cQ
@ ( SV143
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV143 @ SX0 ) ) ) ) ) ) )
= ( cQ
@ ( sK2_SY7
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV143 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( sK1_SY9 @ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV143 @ SX0 ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV143 @ SX0 ) ) ) ))]]) ).
thf(574,plain,
( ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) )
@ ( cQ
@ ( sK3_SY8
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) )
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) )
= ( cQ
@ ( sK2_SY7
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( sK1_SY9 @ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ))]]) ).
thf(575,plain,
! [SV161: $i > $i] :
( ( ( cR
@ ( SV161
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) ) )
@ ( cQ
@ ( sK3_SY8
@ ( SV161
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV161
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) )
= ( cS
@ ( SV161
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV99,$thf( SV161 @ ( cS @ ( sK1_SY9 @ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) ) )),bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ))]]) ).
thf(576,plain,
! [SV161: $i > $i,SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) )
@ ( cQ
@ ( sK2_SY7
@ ( SV161
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_SY7
@ ( SV161
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) ) ) )
= ( sK2_SY7 @ SV99 ) )
= $false )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ) )
= ( cS @ SV99 ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( sK2_SY7 @ ( SV161 @ SX0 ) ) ) ) ))]]) ).
thf(577,plain,
! [SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) )
@ ( cQ
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ) )
= ( sK2_SY7 @ SV99 ) )
= $false )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ) )
= ( cS @ SV99 ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ SX0 ) ) ))]]) ).
thf(578,plain,
! [SV158: $i > $i,SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV158 @ SX0 ) ) ) )
@ ( cQ
@ ( SV158
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV158 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cQ
@ ( SV158
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV158 @ SX0 ) ) ) ) ) ) )
= ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $false )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV158 @ SX0 ) ) ) ) )
= ( cS @ SV99 ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ ( cQ @ ( SV158 @ SX0 ) ) ) ))]]) ).
thf(579,plain,
! [SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) )
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) )
= $true )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) )
= ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $false )
| ( ( ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ) )
= ( cS @ SV99 ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ SX0 @ SX0 ) ))]]) ).
thf(580,plain,
! [SV137: $i > $i,SV136: $i > $i,SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( SV136
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ) )
@ ( SV137
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ) ) )
= $true )
| ( ( cR
@ ( SV136
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ) ) )
@ ( SV137
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ) ) ) )
= $true )
| ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ))]]) ).
thf(581,plain,
! [SV137: $i > $i,SV136: $i > $i,SV99: $i] :
( ( ( cR @ SV99 @ ( cQ @ ( sK3_SY8 @ SV99 ) ) )
= $true )
| ( ( cR
@ ( SV136
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ) )
@ ( SV137
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ) ) )
= $true )
| ( ( cR
@ ( SV136
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ) ) )
@ ( SV137
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cR @ ( cS @ SV99 ) @ ( cQ @ ( sK2_SY7 @ SV99 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[529:[bind(SV100,$thf( ^ [SX0: $i] : ( cR @ ( SV136 @ SX0 ) @ ( SV137 @ SX0 ) ) ))]]) ).
thf(583,plain,
! [SV188: $i > $o] :
( ( ( ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ~ ~ ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[535:[bind(SV100,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV188 @ SX0 ) ) ) ) ) ))]]) ).
thf(584,plain,
! [SV185: $i > $o] :
( ( ( ~ ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ~ ~ ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[535:[bind(SV100,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV185 @ SX0 ) ) ) ) ))]]) ).
thf(587,plain,
! [SV182: $i > $o] :
( ( ( ~ ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV182
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ~ ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[535:[bind(SV100,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV182 @ SX0 ) ) ) ))]]) ).
thf(588,plain,
! [SV179: $i > $o] :
( ( ( ~ ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV179
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[535:[bind(SV100,$thf( ^ [SX0: $i] : ~ ( ~ ( SV179 @ SX0 ) ) ))]]) ).
thf(591,plain,
! [SV176: $i > $o] :
( ( ( ~ ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV176
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[535:[bind(SV100,$thf( ^ [SX0: $i] : ~ ( SV176 @ SX0 ) ))]]) ).
thf(592,plain,
! [SV176: $i > $o] :
( ( ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV176
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(595,plain,
! [SV179: $i > $o] :
( ( ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV179
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(596,plain,
! [SV182: $i > $o] :
( ( ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV182
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ~ ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(599,plain,
! [SV185: $i > $o] :
( ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ~ ~ ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(600,plain,
! [SV188: $i > $o] :
( ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ~ ~ ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(602,plain,
! [SV176: $i > $o] :
( ( ( ~ ( SV176
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $true )
| ( ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(605,plain,
! [SV179: $i > $o] :
( ( ( ~ ( SV179
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $false )
| ( ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(606,plain,
! [SV182: $i > $o] :
( ( ( ~ ( SV182
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ~ ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(609,plain,
! [SV185: $i > $o] :
( ( ( ~ ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ~ ~ ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(610,plain,
! [SV188: $i > $o] :
( ( ( ~ ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ~ ~ ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(612,plain,
! [SV176: $i > $o] :
( ( ( SV176
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) )
= $false )
| ( ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(615,plain,
! [SV179: $i > $o] :
( ( ( SV179
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) )
= $true )
| ( ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(616,plain,
! [SV182: $i > $o] :
( ( ( SV182
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) )
= $false )
| ( ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ~ ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(619,plain,
! [SV185: $i > $o] :
( ( ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) )
= $true )
| ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ~ ~ ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(620,plain,
! [SV188: $i > $o] :
( ( ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) )
= $false )
| ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ~ ~ ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(622,plain,
! [SV176: $i > $o] :
( ( ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $true )
| ( ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $true )
| ( ( SV176
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(625,plain,
! [SV179: $i > $o] :
( ( ( ~ ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) ) )
= $true )
| ( ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $false )
| ( ( SV179
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(626,plain,
! [SV182: $i > $o] :
( ( ( ~ ~ ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) ) )
= $true )
| ( ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( SV182
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(629,plain,
! [SV185: $i > $o] :
( ( ( ~ ~ ~ ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) ) )
= $true )
| ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(630,plain,
! [SV188: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $true )
| ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(633,plain,
! [SV179: $i > $o] :
( ( ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $false )
| ( ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $false )
| ( ( SV179
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(634,plain,
! [SV182: $i > $o] :
( ( ( ~ ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) ) )
= $false )
| ( ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( SV182
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(637,plain,
! [SV185: $i > $o] :
( ( ( ~ ~ ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) ) )
= $false )
| ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(638,plain,
! [SV188: $i > $o] :
( ( ( ~ ~ ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $false )
| ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(640,plain,
! [SV182: $i > $o] :
( ( ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( SV182
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(643,plain,
! [SV185: $i > $o] :
( ( ( ~ ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) ) )
= $true )
| ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(644,plain,
! [SV188: $i > $o] :
( ( ( ~ ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $true )
| ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(647,plain,
! [SV185: $i > $o] :
( ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(648,plain,
! [SV188: $i > $o] :
( ( ( ~ ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) ) )
= $false )
| ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(650,plain,
! [SV188: $i > $o] :
( ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(652,plain,
! [SV176: $i > $o] :
( ( ( SV176
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) ) )
= $true )
| ( ( SV176
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ( SV176 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[622]) ).
thf(653,plain,
! [SV179: $i > $o] :
( ( ( SV179
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) ) )
= $false )
| ( ( SV179
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ( SV179 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[633]) ).
thf(654,plain,
! [SV182: $i > $o] :
( ( ( SV182
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) ) )
= $true )
| ( ( SV182
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ( SV182 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[640]) ).
thf(655,plain,
! [SV185: $i > $o] :
( ( ( SV185
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) ) )
= $false )
| ( ( SV185
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV185 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[647]) ).
thf(656,plain,
! [SV188: $i > $o] :
( ( ( SV188
@ ( cS
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) ) )
= $true )
| ( ( SV188
@ ( sK1_SY9
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV188 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[650]) ).
thf(657,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[411,656,655,654,653,652,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,526,525,524,523,522,521,520,519,518,517,516,508,504,503,502,501,500,499,425,424,423,422,421,420,419,418,417,416,415,414,413,412]) ).
thf(658,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[657]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO309^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 17:34:14 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.46/1.19
% 5.46/1.19 No.of.Axioms: 0
% 5.46/1.19
% 5.46/1.19 Length.of.Defs: 0
% 5.46/1.19
% 5.46/1.19 Contains.Choice.Funs: false
% 5.46/1.19 .......
% 5.46/1.19
% 5.46/1.19 ********************************
% 5.46/1.19 * All subproblems solved! *
% 5.46/1.19 ********************************
% 5.46/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:1,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:657,loop_count:5,foatp_calls:3,translation:fof_full)
% 5.46/1.19
% 5.46/1.19 %**** Beginning of derivation protocol ****
% 5.46/1.19 % SZS output start CNFRefutation
% See solution above
% 5.46/1.19
% 5.46/1.19 %**** End of derivation protocol ****
% 5.46/1.19 %**** no. of clauses in derivation: 318 ****
% 5.46/1.19 %**** clause counter: 657 ****
% 5.46/1.19
% 5.46/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:1,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:657,loop_count:5,foatp_calls:3,translation:fof_full)
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