%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ039-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:48 AM UTC 2026
% Result : Unsatisfiable 39.69s 6.84s
% Output : CNFRefutation 39.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 45
% Syntax : Number of formulae : 636 ( 636 unt; 0 typ; 0 def)
% Number of atoms : 1816 (1218 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 25086 ( 17 ~; 0 |; 0 &;25069 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 4 con; 0-12 aty)
% Number of variables : 7268 ( 0 ^;7268 !; 0 ?;7268 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_bb,type,
bb: $i > $i > $i ).
thf(tp_e1,type,
e1: $i > $i > $i ).
thf(tp_e2,type,
e2: $i > $i > $i ).
thf(tp_h,type,
h: $i > $i > $i ).
thf(tp_ifeq,type,
ifeq: $i > $i > $i > $i > $i ).
thf(tp_o,type,
o: $i ).
thf(tp_s,type,
s: $i > $i ).
thf(tp_s1,type,
s1: $i > $i > $i ).
thf(tp_s2,type,
s2: $i > $i > $i ).
thf(tp_s3,type,
s3: $i > $i > $i ).
thf(tp_s4,type,
s4: $i > $i > $i ).
thf(tp_state,type,
state: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_true,type,
true: $i ).
thf(tp_v1,type,
v1: $i > $i > $i ).
thf(tp_v2,type,
v2: $i > $i > $i ).
thf(tp_v3,type,
v3: $i > $i > $i ).
thf(tp_v4,type,
v4: $i > $i > $i ).
thf(1,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,X: $i,Y: $i,Q: $i,W: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ Q @ W ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ Q @ W ) @ ( e2 @ X @ Y ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',swap_blanks) ).
thf(2,axiom,
! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_up) ).
thf(3,axiom,
! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) @ true @ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_down) ).
thf(4,axiom,
! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_left) ).
thf(5,axiom,
! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) @ true @ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_right) ).
thf(6,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_up) ).
thf(7,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_down) ).
thf(8,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_left) ).
thf(9,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_right) ).
thf(10,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_up) ).
thf(11,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_down) ).
thf(12,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_left) ).
thf(13,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_right) ).
thf(14,axiom,
! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_up) ).
thf(15,axiom,
! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_down) ).
thf(16,axiom,
! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_left) ).
thf(17,axiom,
! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_right) ).
thf(18,axiom,
! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2_up) ).
thf(19,axiom,
! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2_down) ).
thf(20,axiom,
! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2_left) ).
thf(21,axiom,
! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2_right) ).
thf(22,axiom,
! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_up) ).
thf(23,axiom,
! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_down) ).
thf(24,axiom,
! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_left) ).
thf(25,axiom,
! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_right) ).
thf(26,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_up) ).
thf(27,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_down) ).
thf(28,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_left) ).
thf(29,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_right) ).
thf(30,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_up) ).
thf(31,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_down) ).
thf(32,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_left) ).
thf(33,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_right) ).
thf(34,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_up) ).
thf(35,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_down) ).
thf(36,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_left) ).
thf(37,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_right) ).
thf(38,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_up) ).
thf(39,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_down) ).
thf(40,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_left) ).
thf(41,axiom,
! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_right) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
thf(43,axiom,
( ( state @ ( bb @ o @ ( s @ o ) ) @ ( v1 @ o @ o ) @ ( v2 @ o @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( v3 @ ( s @ ( s @ o ) ) @ o ) @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( h @ ( s @ ( s @ o ) ) @ ( s @ o ) ) @ ( s1 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ o ) ) @ ( s2 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ ( s @ o ) ) ) @ ( s3 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ o ) ) @ ( s4 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ o ) ) ) @ ( e1 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ o ) @ ( e2 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state) ).
thf(44,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(45,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[44]) ).
thf(46,negated_conjecture,
! [B: $i,V1: $i,V2: $i,V3: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E1: $i,E2: $i] :
( ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ H @ S1 @ S2 @ S3 @ S4 @ E1 @ E2 )
!= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_state) ).
thf(47,plain,
$false = $false,
inference(unfold_def,[status(thm)],[45]) ).
thf(48,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,X: $i,Y: $i,Q: $i,W: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ Q @ W ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ Q @ W ) @ ( e2 @ X @ Y ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) @ true @ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) @ true @ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(53,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(54,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(55,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(56,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(57,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(58,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(59,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(60,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(61,plain,
( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(62,plain,
( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(63,plain,
( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(64,plain,
( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(65,plain,
( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(66,plain,
( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(67,plain,
( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(68,plain,
( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(69,plain,
( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(70,plain,
( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(71,plain,
( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(72,plain,
( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(73,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(74,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(75,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(76,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(77,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(78,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(79,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(80,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(81,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(82,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(83,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(84,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(85,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(86,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(87,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(88,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(89,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(90,plain,
( ( ( state @ ( bb @ o @ ( s @ o ) ) @ ( v1 @ o @ o ) @ ( v2 @ o @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( v3 @ ( s @ ( s @ o ) ) @ o ) @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( h @ ( s @ ( s @ o ) ) @ ( s @ o ) ) @ ( s1 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ o ) ) @ ( s2 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ ( s @ o ) ) ) @ ( s3 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ o ) ) @ ( s4 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ o ) ) ) @ ( e1 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ o ) @ ( e2 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) )
= true )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(91,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E1: $i,E2: $i] :
( ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ H @ S1 @ S2 @ S3 @ S4 @ E1 @ E2 )
!= true ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(92,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(93,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E1: $i,E2: $i] :
( ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ H @ S1 @ S2 @ S3 @ S4 @ E1 @ E2 )
!= true ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(94,plain,
( ( ( state @ ( bb @ o @ ( s @ o ) ) @ ( v1 @ o @ o ) @ ( v2 @ o @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( v3 @ ( s @ ( s @ o ) ) @ o ) @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( h @ ( s @ ( s @ o ) ) @ ( s @ o ) ) @ ( s1 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ o ) ) @ ( s2 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ ( s @ o ) ) ) @ ( s3 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ o ) ) @ ( s4 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ o ) ) ) @ ( e1 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ o ) @ ( e2 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) )
= true )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(95,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(96,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(97,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(98,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(99,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(100,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(101,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(102,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(103,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(104,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(105,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(106,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(107,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(108,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(109,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(110,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(111,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(112,plain,
( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(113,plain,
( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(114,plain,
( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(115,plain,
( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(116,plain,
( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(117,plain,
( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(118,plain,
( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(119,plain,
( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(120,plain,
( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(121,plain,
( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(122,plain,
( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(123,plain,
( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(124,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(125,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(126,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(127,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(128,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(129,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(130,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(131,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(132,plain,
( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) @ true @ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(133,plain,
( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @ true @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(134,plain,
( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) @ true @ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(135,plain,
( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) @ true @ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(136,plain,
( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,X: $i,Y: $i,Q: $i,W: $i] :
( ( ifeq @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ Q @ W ) ) @ true @ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ Q @ W ) @ ( e2 @ X @ Y ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(137,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[92]) ).
thf(138,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i] :
( ( state @ SX0 @ SX1 @ SX2 @ SX3 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 )
!= true ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(139,plain,
! [SV1: $i] :
( ( ! [SY494: $i,SY495: $i] :
( ( ifeq @ SV1 @ SV1 @ SY494 @ SY495 )
= SY494 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(140,plain,
! [SV2: $i] :
( ( ! [SY496: $i,SY497: $i,SY498: $i,SY499: $i,SY500: $i,SY501: $i,SY502: $i,SY503: $i,SY504: $i,SY505: $i,SY506: $i] :
( ( ifeq @ ( state @ SV2 @ SY496 @ SY497 @ SY498 @ SY499 @ SY500 @ ( s1 @ SY501 @ SY502 ) @ SY503 @ SY504 @ SY505 @ ( e1 @ SY501 @ ( s @ SY502 ) ) @ SY506 ) @ true @ ( state @ SV2 @ SY496 @ SY497 @ SY498 @ SY499 @ SY500 @ ( s1 @ SY501 @ ( s @ SY502 ) ) @ SY503 @ SY504 @ SY505 @ ( e1 @ SY501 @ SY502 ) @ SY506 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(141,plain,
! [SV3: $i] :
( ( ! [SY507: $i,SY508: $i,SY509: $i,SY510: $i,SY511: $i,SY512: $i,SY513: $i,SY514: $i,SY515: $i,SY516: $i,SY517: $i] :
( ( ifeq @ ( state @ SV3 @ SY507 @ SY508 @ SY509 @ SY510 @ SY511 @ ( s1 @ SY512 @ ( s @ SY513 ) ) @ SY514 @ SY515 @ SY516 @ ( e1 @ SY512 @ SY513 ) @ SY517 ) @ true @ ( state @ SV3 @ SY507 @ SY508 @ SY509 @ SY510 @ SY511 @ ( s1 @ SY512 @ SY513 ) @ SY514 @ SY515 @ SY516 @ ( e1 @ SY512 @ ( s @ SY513 ) ) @ SY517 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(142,plain,
! [SV4: $i] :
( ( ! [SY518: $i,SY519: $i,SY520: $i,SY521: $i,SY522: $i,SY523: $i,SY524: $i,SY525: $i,SY526: $i,SY527: $i,SY528: $i] :
( ( ifeq @ ( state @ SV4 @ SY518 @ SY519 @ SY520 @ SY521 @ SY522 @ ( s1 @ SY523 @ SY524 ) @ SY525 @ SY526 @ SY527 @ ( e1 @ ( s @ SY523 ) @ SY524 ) @ SY528 ) @ true @ ( state @ SV4 @ SY518 @ SY519 @ SY520 @ SY521 @ SY522 @ ( s1 @ ( s @ SY523 ) @ SY524 ) @ SY525 @ SY526 @ SY527 @ ( e1 @ SY523 @ SY524 ) @ SY528 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(143,plain,
! [SV5: $i] :
( ( ! [SY529: $i,SY530: $i,SY531: $i,SY532: $i,SY533: $i,SY534: $i,SY535: $i,SY536: $i,SY537: $i,SY538: $i,SY539: $i] :
( ( ifeq @ ( state @ SV5 @ SY529 @ SY530 @ SY531 @ SY532 @ SY533 @ ( s1 @ ( s @ SY534 ) @ SY535 ) @ SY536 @ SY537 @ SY538 @ ( e1 @ SY534 @ SY535 ) @ SY539 ) @ true @ ( state @ SV5 @ SY529 @ SY530 @ SY531 @ SY532 @ SY533 @ ( s1 @ SY534 @ SY535 ) @ SY536 @ SY537 @ SY538 @ ( e1 @ ( s @ SY534 ) @ SY535 ) @ SY539 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(144,plain,
! [SV6: $i] :
( ( ! [SY540: $i,SY541: $i,SY542: $i,SY543: $i,SY544: $i,SY545: $i,SY546: $i,SY547: $i,SY548: $i,SY549: $i,SY550: $i] :
( ( ifeq @ ( state @ SV6 @ SY540 @ SY541 @ SY542 @ SY543 @ SY544 @ SY545 @ ( s2 @ SY546 @ SY547 ) @ SY548 @ SY549 @ ( e1 @ SY546 @ ( s @ SY547 ) ) @ SY550 ) @ true @ ( state @ SV6 @ SY540 @ SY541 @ SY542 @ SY543 @ SY544 @ SY545 @ ( s2 @ SY546 @ ( s @ SY547 ) ) @ SY548 @ SY549 @ ( e1 @ SY546 @ SY547 ) @ SY550 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(145,plain,
! [SV7: $i] :
( ( ! [SY551: $i,SY552: $i,SY553: $i,SY554: $i,SY555: $i,SY556: $i,SY557: $i,SY558: $i,SY559: $i,SY560: $i,SY561: $i] :
( ( ifeq @ ( state @ SV7 @ SY551 @ SY552 @ SY553 @ SY554 @ SY555 @ SY556 @ ( s2 @ SY557 @ ( s @ SY558 ) ) @ SY559 @ SY560 @ ( e1 @ SY557 @ SY558 ) @ SY561 ) @ true @ ( state @ SV7 @ SY551 @ SY552 @ SY553 @ SY554 @ SY555 @ SY556 @ ( s2 @ SY557 @ SY558 ) @ SY559 @ SY560 @ ( e1 @ SY557 @ ( s @ SY558 ) ) @ SY561 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(146,plain,
! [SV8: $i] :
( ( ! [SY562: $i,SY563: $i,SY564: $i,SY565: $i,SY566: $i,SY567: $i,SY568: $i,SY569: $i,SY570: $i,SY571: $i,SY572: $i] :
( ( ifeq @ ( state @ SV8 @ SY562 @ SY563 @ SY564 @ SY565 @ SY566 @ SY567 @ ( s2 @ SY568 @ SY569 ) @ SY570 @ SY571 @ ( e1 @ ( s @ SY568 ) @ SY569 ) @ SY572 ) @ true @ ( state @ SV8 @ SY562 @ SY563 @ SY564 @ SY565 @ SY566 @ SY567 @ ( s2 @ ( s @ SY568 ) @ SY569 ) @ SY570 @ SY571 @ ( e1 @ SY568 @ SY569 ) @ SY572 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(147,plain,
! [SV9: $i] :
( ( ! [SY573: $i,SY574: $i,SY575: $i,SY576: $i,SY577: $i,SY578: $i,SY579: $i,SY580: $i,SY581: $i,SY582: $i,SY583: $i] :
( ( ifeq @ ( state @ SV9 @ SY573 @ SY574 @ SY575 @ SY576 @ SY577 @ SY578 @ ( s2 @ ( s @ SY579 ) @ SY580 ) @ SY581 @ SY582 @ ( e1 @ SY579 @ SY580 ) @ SY583 ) @ true @ ( state @ SV9 @ SY573 @ SY574 @ SY575 @ SY576 @ SY577 @ SY578 @ ( s2 @ SY579 @ SY580 ) @ SY581 @ SY582 @ ( e1 @ ( s @ SY579 ) @ SY580 ) @ SY583 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(148,plain,
! [SV10: $i] :
( ( ! [SY584: $i,SY585: $i,SY586: $i,SY587: $i,SY588: $i,SY589: $i,SY590: $i,SY591: $i,SY592: $i,SY593: $i,SY594: $i] :
( ( ifeq @ ( state @ SV10 @ SY584 @ SY585 @ SY586 @ SY587 @ SY588 @ SY589 @ SY590 @ ( s3 @ SY591 @ SY592 ) @ SY593 @ ( e1 @ SY591 @ ( s @ SY592 ) ) @ SY594 ) @ true @ ( state @ SV10 @ SY584 @ SY585 @ SY586 @ SY587 @ SY588 @ SY589 @ SY590 @ ( s3 @ SY591 @ ( s @ SY592 ) ) @ SY593 @ ( e1 @ SY591 @ SY592 ) @ SY594 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(149,plain,
! [SV11: $i] :
( ( ! [SY595: $i,SY596: $i,SY597: $i,SY598: $i,SY599: $i,SY600: $i,SY601: $i,SY602: $i,SY603: $i,SY604: $i,SY605: $i] :
( ( ifeq @ ( state @ SV11 @ SY595 @ SY596 @ SY597 @ SY598 @ SY599 @ SY600 @ SY601 @ ( s3 @ SY602 @ ( s @ SY603 ) ) @ SY604 @ ( e1 @ SY602 @ SY603 ) @ SY605 ) @ true @ ( state @ SV11 @ SY595 @ SY596 @ SY597 @ SY598 @ SY599 @ SY600 @ SY601 @ ( s3 @ SY602 @ SY603 ) @ SY604 @ ( e1 @ SY602 @ ( s @ SY603 ) ) @ SY605 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(150,plain,
! [SV12: $i] :
( ( ! [SY606: $i,SY607: $i,SY608: $i,SY609: $i,SY610: $i,SY611: $i,SY612: $i,SY613: $i,SY614: $i,SY615: $i,SY616: $i] :
( ( ifeq @ ( state @ SV12 @ SY606 @ SY607 @ SY608 @ SY609 @ SY610 @ SY611 @ SY612 @ ( s3 @ SY613 @ SY614 ) @ SY615 @ ( e1 @ ( s @ SY613 ) @ SY614 ) @ SY616 ) @ true @ ( state @ SV12 @ SY606 @ SY607 @ SY608 @ SY609 @ SY610 @ SY611 @ SY612 @ ( s3 @ ( s @ SY613 ) @ SY614 ) @ SY615 @ ( e1 @ SY613 @ SY614 ) @ SY616 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(151,plain,
! [SV13: $i] :
( ( ! [SY617: $i,SY618: $i,SY619: $i,SY620: $i,SY621: $i,SY622: $i,SY623: $i,SY624: $i,SY625: $i,SY626: $i,SY627: $i] :
( ( ifeq @ ( state @ SV13 @ SY617 @ SY618 @ SY619 @ SY620 @ SY621 @ SY622 @ SY623 @ ( s3 @ ( s @ SY624 ) @ SY625 ) @ SY626 @ ( e1 @ SY624 @ SY625 ) @ SY627 ) @ true @ ( state @ SV13 @ SY617 @ SY618 @ SY619 @ SY620 @ SY621 @ SY622 @ SY623 @ ( s3 @ SY624 @ SY625 ) @ SY626 @ ( e1 @ ( s @ SY624 ) @ SY625 ) @ SY627 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(152,plain,
! [SV14: $i] :
( ( ! [SY628: $i,SY629: $i,SY630: $i,SY631: $i,SY632: $i,SY633: $i,SY634: $i,SY635: $i,SY636: $i,SY637: $i,SY638: $i] :
( ( ifeq @ ( state @ SV14 @ SY628 @ SY629 @ SY630 @ SY631 @ SY632 @ SY633 @ SY634 @ SY635 @ ( s4 @ SY636 @ SY637 ) @ ( e1 @ SY636 @ ( s @ SY637 ) ) @ SY638 ) @ true @ ( state @ SV14 @ SY628 @ SY629 @ SY630 @ SY631 @ SY632 @ SY633 @ SY634 @ SY635 @ ( s4 @ SY636 @ ( s @ SY637 ) ) @ ( e1 @ SY636 @ SY637 ) @ SY638 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(153,plain,
! [SV15: $i] :
( ( ! [SY639: $i,SY640: $i,SY641: $i,SY642: $i,SY643: $i,SY644: $i,SY645: $i,SY646: $i,SY647: $i,SY648: $i,SY649: $i] :
( ( ifeq @ ( state @ SV15 @ SY639 @ SY640 @ SY641 @ SY642 @ SY643 @ SY644 @ SY645 @ SY646 @ ( s4 @ SY647 @ ( s @ SY648 ) ) @ ( e1 @ SY647 @ SY648 ) @ SY649 ) @ true @ ( state @ SV15 @ SY639 @ SY640 @ SY641 @ SY642 @ SY643 @ SY644 @ SY645 @ SY646 @ ( s4 @ SY647 @ SY648 ) @ ( e1 @ SY647 @ ( s @ SY648 ) ) @ SY649 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(154,plain,
! [SV16: $i] :
( ( ! [SY650: $i,SY651: $i,SY652: $i,SY653: $i,SY654: $i,SY655: $i,SY656: $i,SY657: $i,SY658: $i,SY659: $i,SY660: $i] :
( ( ifeq @ ( state @ SV16 @ SY650 @ SY651 @ SY652 @ SY653 @ SY654 @ SY655 @ SY656 @ SY657 @ ( s4 @ SY658 @ SY659 ) @ ( e1 @ ( s @ SY658 ) @ SY659 ) @ SY660 ) @ true @ ( state @ SV16 @ SY650 @ SY651 @ SY652 @ SY653 @ SY654 @ SY655 @ SY656 @ SY657 @ ( s4 @ ( s @ SY658 ) @ SY659 ) @ ( e1 @ SY658 @ SY659 ) @ SY660 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(155,plain,
! [SV17: $i] :
( ( ! [SY661: $i,SY662: $i,SY663: $i,SY664: $i,SY665: $i,SY666: $i,SY667: $i,SY668: $i,SY669: $i,SY670: $i,SY671: $i] :
( ( ifeq @ ( state @ SV17 @ SY661 @ SY662 @ SY663 @ SY664 @ SY665 @ SY666 @ SY667 @ SY668 @ ( s4 @ ( s @ SY669 ) @ SY670 ) @ ( e1 @ SY669 @ SY670 ) @ SY671 ) @ true @ ( state @ SV17 @ SY661 @ SY662 @ SY663 @ SY664 @ SY665 @ SY666 @ SY667 @ SY668 @ ( s4 @ SY669 @ SY670 ) @ ( e1 @ ( s @ SY669 ) @ SY670 ) @ SY671 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(156,plain,
! [SV18: $i] :
( ( ! [SY672: $i,SY673: $i,SY674: $i,SY675: $i,SY676: $i,SY677: $i,SY678: $i,SY679: $i,SY680: $i,SY681: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SY672 @ SY673 ) @ SY674 @ SY675 @ SY676 @ SY677 @ SY678 @ SY679 @ SY680 @ SY681 @ ( e1 @ SY672 @ ( s @ SY673 ) ) @ ( e2 @ ( s @ SY672 ) @ ( s @ SY673 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SY672 @ ( s @ SY673 ) ) @ SY674 @ SY675 @ SY676 @ SY677 @ SY678 @ SY679 @ SY680 @ SY681 @ ( e1 @ SY672 @ SY673 ) @ ( e2 @ ( s @ SY672 ) @ SY673 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(157,plain,
! [SV19: $i] :
( ( ! [SY682: $i,SY683: $i,SY684: $i,SY685: $i,SY686: $i,SY687: $i,SY688: $i,SY689: $i,SY690: $i,SY691: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SY682 @ ( s @ SY683 ) ) @ SY684 @ SY685 @ SY686 @ SY687 @ SY688 @ SY689 @ SY690 @ SY691 @ ( e1 @ SY682 @ SY683 ) @ ( e2 @ ( s @ SY682 ) @ SY683 ) ) @ true @ ( state @ SV19 @ ( v1 @ SY682 @ SY683 ) @ SY684 @ SY685 @ SY686 @ SY687 @ SY688 @ SY689 @ SY690 @ SY691 @ ( e1 @ SY682 @ ( s @ SY683 ) ) @ ( e2 @ ( s @ SY682 ) @ ( s @ SY683 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(158,plain,
! [SV20: $i] :
( ( ! [SY692: $i,SY693: $i,SY694: $i,SY695: $i,SY696: $i,SY697: $i,SY698: $i,SY699: $i,SY700: $i,SY701: $i,SY702: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SY692 @ SY693 ) @ SY694 @ SY695 @ SY696 @ SY697 @ SY698 @ SY699 @ SY700 @ SY701 @ ( e1 @ ( s @ ( s @ SY692 ) ) @ SY693 ) @ SY702 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SY692 ) @ SY693 ) @ SY694 @ SY695 @ SY696 @ SY697 @ SY698 @ SY699 @ SY700 @ SY701 @ ( e1 @ SY692 @ SY693 ) @ SY702 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(159,plain,
! [SV21: $i] :
( ( ! [SY703: $i,SY704: $i,SY705: $i,SY706: $i,SY707: $i,SY708: $i,SY709: $i,SY710: $i,SY711: $i,SY712: $i,SY713: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SY703 ) @ SY704 ) @ SY705 @ SY706 @ SY707 @ SY708 @ SY709 @ SY710 @ SY711 @ SY712 @ ( e1 @ SY703 @ SY704 ) @ SY713 ) @ true @ ( state @ SV21 @ ( v1 @ SY703 @ SY704 ) @ SY705 @ SY706 @ SY707 @ SY708 @ SY709 @ SY710 @ SY711 @ SY712 @ ( e1 @ ( s @ ( s @ SY703 ) ) @ SY704 ) @ SY713 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(160,plain,
! [SV22: $i] :
( ( ! [SY714: $i,SY715: $i,SY716: $i,SY717: $i,SY718: $i,SY719: $i,SY720: $i,SY721: $i,SY722: $i,SY723: $i] :
( ( ifeq @ ( state @ SV22 @ SY714 @ ( v2 @ SY715 @ SY716 ) @ SY717 @ SY718 @ SY719 @ SY720 @ SY721 @ SY722 @ SY723 @ ( e1 @ SY715 @ ( s @ SY716 ) ) @ ( e2 @ ( s @ SY715 ) @ ( s @ SY716 ) ) ) @ true @ ( state @ SV22 @ SY714 @ ( v2 @ SY715 @ ( s @ SY716 ) ) @ SY717 @ SY718 @ SY719 @ SY720 @ SY721 @ SY722 @ SY723 @ ( e1 @ SY715 @ SY716 ) @ ( e2 @ ( s @ SY715 ) @ SY716 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(161,plain,
! [SV23: $i] :
( ( ! [SY724: $i,SY725: $i,SY726: $i,SY727: $i,SY728: $i,SY729: $i,SY730: $i,SY731: $i,SY732: $i,SY733: $i] :
( ( ifeq @ ( state @ SV23 @ SY724 @ ( v2 @ SY725 @ ( s @ SY726 ) ) @ SY727 @ SY728 @ SY729 @ SY730 @ SY731 @ SY732 @ SY733 @ ( e1 @ SY725 @ SY726 ) @ ( e2 @ ( s @ SY725 ) @ SY726 ) ) @ true @ ( state @ SV23 @ SY724 @ ( v2 @ SY725 @ SY726 ) @ SY727 @ SY728 @ SY729 @ SY730 @ SY731 @ SY732 @ SY733 @ ( e1 @ SY725 @ ( s @ SY726 ) ) @ ( e2 @ ( s @ SY725 ) @ ( s @ SY726 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(162,plain,
! [SV24: $i] :
( ( ! [SY734: $i,SY735: $i,SY736: $i,SY737: $i,SY738: $i,SY739: $i,SY740: $i,SY741: $i,SY742: $i,SY743: $i,SY744: $i] :
( ( ifeq @ ( state @ SV24 @ SY734 @ ( v2 @ SY735 @ SY736 ) @ SY737 @ SY738 @ SY739 @ SY740 @ SY741 @ SY742 @ SY743 @ ( e1 @ ( s @ ( s @ SY735 ) ) @ SY736 ) @ SY744 ) @ true @ ( state @ SV24 @ SY734 @ ( v2 @ ( s @ SY735 ) @ SY736 ) @ SY737 @ SY738 @ SY739 @ SY740 @ SY741 @ SY742 @ SY743 @ ( e1 @ SY735 @ SY736 ) @ SY744 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(163,plain,
! [SV25: $i] :
( ( ! [SY745: $i,SY746: $i,SY747: $i,SY748: $i,SY749: $i,SY750: $i,SY751: $i,SY752: $i,SY753: $i,SY754: $i,SY755: $i] :
( ( ifeq @ ( state @ SV25 @ SY745 @ ( v2 @ ( s @ SY746 ) @ SY747 ) @ SY748 @ SY749 @ SY750 @ SY751 @ SY752 @ SY753 @ SY754 @ ( e1 @ SY746 @ SY747 ) @ SY755 ) @ true @ ( state @ SV25 @ SY745 @ ( v2 @ SY746 @ SY747 ) @ SY748 @ SY749 @ SY750 @ SY751 @ SY752 @ SY753 @ SY754 @ ( e1 @ ( s @ ( s @ SY746 ) ) @ SY747 ) @ SY755 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(164,plain,
! [SV26: $i] :
( ( ! [SY756: $i,SY757: $i,SY758: $i,SY759: $i,SY760: $i,SY761: $i,SY762: $i,SY763: $i,SY764: $i,SY765: $i] :
( ( ifeq @ ( state @ SV26 @ SY756 @ SY757 @ ( v3 @ SY758 @ SY759 ) @ SY760 @ SY761 @ SY762 @ SY763 @ SY764 @ SY765 @ ( e1 @ SY758 @ ( s @ SY759 ) ) @ ( e2 @ ( s @ SY758 ) @ ( s @ SY759 ) ) ) @ true @ ( state @ SV26 @ SY756 @ SY757 @ ( v3 @ SY758 @ ( s @ SY759 ) ) @ SY760 @ SY761 @ SY762 @ SY763 @ SY764 @ SY765 @ ( e1 @ SY758 @ SY759 ) @ ( e2 @ ( s @ SY758 ) @ SY759 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(165,plain,
! [SV27: $i] :
( ( ! [SY766: $i,SY767: $i,SY768: $i,SY769: $i,SY770: $i,SY771: $i,SY772: $i,SY773: $i,SY774: $i,SY775: $i] :
( ( ifeq @ ( state @ SV27 @ SY766 @ SY767 @ ( v3 @ SY768 @ ( s @ SY769 ) ) @ SY770 @ SY771 @ SY772 @ SY773 @ SY774 @ SY775 @ ( e1 @ SY768 @ SY769 ) @ ( e2 @ ( s @ SY768 ) @ SY769 ) ) @ true @ ( state @ SV27 @ SY766 @ SY767 @ ( v3 @ SY768 @ SY769 ) @ SY770 @ SY771 @ SY772 @ SY773 @ SY774 @ SY775 @ ( e1 @ SY768 @ ( s @ SY769 ) ) @ ( e2 @ ( s @ SY768 ) @ ( s @ SY769 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(166,plain,
! [SV28: $i] :
( ( ! [SY776: $i,SY777: $i,SY778: $i,SY779: $i,SY780: $i,SY781: $i,SY782: $i,SY783: $i,SY784: $i,SY785: $i,SY786: $i] :
( ( ifeq @ ( state @ SV28 @ SY776 @ SY777 @ ( v3 @ SY778 @ SY779 ) @ SY780 @ SY781 @ SY782 @ SY783 @ SY784 @ SY785 @ ( e1 @ ( s @ ( s @ SY778 ) ) @ SY779 ) @ SY786 ) @ true @ ( state @ SV28 @ SY776 @ SY777 @ ( v3 @ ( s @ SY778 ) @ SY779 ) @ SY780 @ SY781 @ SY782 @ SY783 @ SY784 @ SY785 @ ( e1 @ SY778 @ SY779 ) @ SY786 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(167,plain,
! [SV29: $i] :
( ( ! [SY787: $i,SY788: $i,SY789: $i,SY790: $i,SY791: $i,SY792: $i,SY793: $i,SY794: $i,SY795: $i,SY796: $i,SY797: $i] :
( ( ifeq @ ( state @ SV29 @ SY787 @ SY788 @ ( v3 @ ( s @ SY789 ) @ SY790 ) @ SY791 @ SY792 @ SY793 @ SY794 @ SY795 @ SY796 @ ( e1 @ SY789 @ SY790 ) @ SY797 ) @ true @ ( state @ SV29 @ SY787 @ SY788 @ ( v3 @ SY789 @ SY790 ) @ SY791 @ SY792 @ SY793 @ SY794 @ SY795 @ SY796 @ ( e1 @ ( s @ ( s @ SY789 ) ) @ SY790 ) @ SY797 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(168,plain,
! [SV30: $i] :
( ( ! [SY798: $i,SY799: $i,SY800: $i,SY801: $i,SY802: $i,SY803: $i,SY804: $i,SY805: $i,SY806: $i,SY807: $i] :
( ( ifeq @ ( state @ SV30 @ SY798 @ SY799 @ SY800 @ ( v4 @ SY801 @ SY802 ) @ SY803 @ SY804 @ SY805 @ SY806 @ SY807 @ ( e1 @ SY801 @ ( s @ SY802 ) ) @ ( e2 @ ( s @ SY801 ) @ ( s @ SY802 ) ) ) @ true @ ( state @ SV30 @ SY798 @ SY799 @ SY800 @ ( v4 @ SY801 @ ( s @ SY802 ) ) @ SY803 @ SY804 @ SY805 @ SY806 @ SY807 @ ( e1 @ SY801 @ SY802 ) @ ( e2 @ ( s @ SY801 ) @ SY802 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(169,plain,
! [SV31: $i] :
( ( ! [SY808: $i,SY809: $i,SY810: $i,SY811: $i,SY812: $i,SY813: $i,SY814: $i,SY815: $i,SY816: $i,SY817: $i] :
( ( ifeq @ ( state @ SV31 @ SY808 @ SY809 @ SY810 @ ( v4 @ SY811 @ ( s @ SY812 ) ) @ SY813 @ SY814 @ SY815 @ SY816 @ SY817 @ ( e1 @ SY811 @ SY812 ) @ ( e2 @ ( s @ SY811 ) @ SY812 ) ) @ true @ ( state @ SV31 @ SY808 @ SY809 @ SY810 @ ( v4 @ SY811 @ SY812 ) @ SY813 @ SY814 @ SY815 @ SY816 @ SY817 @ ( e1 @ SY811 @ ( s @ SY812 ) ) @ ( e2 @ ( s @ SY811 ) @ ( s @ SY812 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(170,plain,
! [SV32: $i] :
( ( ! [SY818: $i,SY819: $i,SY820: $i,SY821: $i,SY822: $i,SY823: $i,SY824: $i,SY825: $i,SY826: $i,SY827: $i,SY828: $i] :
( ( ifeq @ ( state @ SV32 @ SY818 @ SY819 @ SY820 @ ( v4 @ SY821 @ SY822 ) @ SY823 @ SY824 @ SY825 @ SY826 @ SY827 @ ( e1 @ ( s @ ( s @ SY821 ) ) @ SY822 ) @ SY828 ) @ true @ ( state @ SV32 @ SY818 @ SY819 @ SY820 @ ( v4 @ ( s @ SY821 ) @ SY822 ) @ SY823 @ SY824 @ SY825 @ SY826 @ SY827 @ ( e1 @ SY821 @ SY822 ) @ SY828 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(171,plain,
! [SV33: $i] :
( ( ! [SY829: $i,SY830: $i,SY831: $i,SY832: $i,SY833: $i,SY834: $i,SY835: $i,SY836: $i,SY837: $i,SY838: $i,SY839: $i] :
( ( ifeq @ ( state @ SV33 @ SY829 @ SY830 @ SY831 @ ( v4 @ ( s @ SY832 ) @ SY833 ) @ SY834 @ SY835 @ SY836 @ SY837 @ SY838 @ ( e1 @ SY832 @ SY833 ) @ SY839 ) @ true @ ( state @ SV33 @ SY829 @ SY830 @ SY831 @ ( v4 @ SY832 @ SY833 ) @ SY834 @ SY835 @ SY836 @ SY837 @ SY838 @ ( e1 @ ( s @ ( s @ SY832 ) ) @ SY833 ) @ SY839 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(172,plain,
! [SV34: $i] :
( ( ! [SY840: $i,SY841: $i,SY842: $i,SY843: $i,SY844: $i,SY845: $i,SY846: $i,SY847: $i,SY848: $i,SY849: $i,SY850: $i] :
( ( ifeq @ ( state @ SV34 @ SY840 @ SY841 @ SY842 @ SY843 @ ( h @ SY844 @ SY845 ) @ SY846 @ SY847 @ SY848 @ SY849 @ ( e1 @ SY844 @ ( s @ ( s @ SY845 ) ) ) @ SY850 ) @ true @ ( state @ SV34 @ SY840 @ SY841 @ SY842 @ SY843 @ ( h @ SY844 @ ( s @ SY845 ) ) @ SY846 @ SY847 @ SY848 @ SY849 @ ( e1 @ SY844 @ SY845 ) @ SY850 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(173,plain,
! [SV35: $i] :
( ( ! [SY851: $i,SY852: $i,SY853: $i,SY854: $i,SY855: $i,SY856: $i,SY857: $i,SY858: $i,SY859: $i,SY860: $i,SY861: $i] :
( ( ifeq @ ( state @ SV35 @ SY851 @ SY852 @ SY853 @ SY854 @ ( h @ SY855 @ ( s @ SY856 ) ) @ SY857 @ SY858 @ SY859 @ SY860 @ ( e1 @ SY855 @ SY856 ) @ SY861 ) @ true @ ( state @ SV35 @ SY851 @ SY852 @ SY853 @ SY854 @ ( h @ SY855 @ SY856 ) @ SY857 @ SY858 @ SY859 @ SY860 @ ( e1 @ SY855 @ ( s @ ( s @ SY856 ) ) ) @ SY861 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(174,plain,
! [SV36: $i] :
( ( ! [SY862: $i,SY863: $i,SY864: $i,SY865: $i,SY866: $i,SY867: $i,SY868: $i,SY869: $i,SY870: $i,SY871: $i] :
( ( ifeq @ ( state @ SV36 @ SY862 @ SY863 @ SY864 @ SY865 @ ( h @ SY866 @ SY867 ) @ SY868 @ SY869 @ SY870 @ SY871 @ ( e1 @ ( s @ SY866 ) @ SY867 ) @ ( e2 @ ( s @ SY866 ) @ ( s @ SY867 ) ) ) @ true @ ( state @ SV36 @ SY862 @ SY863 @ SY864 @ SY865 @ ( h @ ( s @ SY866 ) @ SY867 ) @ SY868 @ SY869 @ SY870 @ SY871 @ ( e1 @ SY866 @ SY867 ) @ ( e2 @ SY866 @ ( s @ SY867 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(175,plain,
! [SV37: $i] :
( ( ! [SY872: $i,SY873: $i,SY874: $i,SY875: $i,SY876: $i,SY877: $i,SY878: $i,SY879: $i,SY880: $i,SY881: $i] :
( ( ifeq @ ( state @ SV37 @ SY872 @ SY873 @ SY874 @ SY875 @ ( h @ ( s @ SY876 ) @ SY877 ) @ SY878 @ SY879 @ SY880 @ SY881 @ ( e1 @ SY876 @ SY877 ) @ ( e2 @ SY876 @ ( s @ SY877 ) ) ) @ true @ ( state @ SV37 @ SY872 @ SY873 @ SY874 @ SY875 @ ( h @ SY876 @ SY877 ) @ SY878 @ SY879 @ SY880 @ SY881 @ ( e1 @ ( s @ SY876 ) @ SY877 ) @ ( e2 @ ( s @ SY876 ) @ ( s @ SY877 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(176,plain,
! [SV38: $i] :
( ( ! [SY882: $i,SY883: $i,SY884: $i,SY885: $i,SY886: $i,SY887: $i,SY888: $i,SY889: $i,SY890: $i,SY891: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SY882 ) @ SY883 @ SY884 @ SY885 @ SY886 @ SY887 @ SY888 @ SY889 @ SY890 @ SY891 @ ( e1 @ SV38 @ ( s @ ( s @ SY882 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SY882 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SY882 ) ) @ SY883 @ SY884 @ SY885 @ SY886 @ SY887 @ SY888 @ SY889 @ SY890 @ SY891 @ ( e1 @ SV38 @ SY882 ) @ ( e2 @ ( s @ SV38 ) @ SY882 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(177,plain,
! [SV39: $i] :
( ( ! [SY892: $i,SY893: $i,SY894: $i,SY895: $i,SY896: $i,SY897: $i,SY898: $i,SY899: $i,SY900: $i,SY901: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SY892 ) ) @ SY893 @ SY894 @ SY895 @ SY896 @ SY897 @ SY898 @ SY899 @ SY900 @ SY901 @ ( e1 @ SV39 @ SY892 ) @ ( e2 @ ( s @ SV39 ) @ SY892 ) ) @ true @ ( state @ ( bb @ SV39 @ SY892 ) @ SY893 @ SY894 @ SY895 @ SY896 @ SY897 @ SY898 @ SY899 @ SY900 @ SY901 @ ( e1 @ SV39 @ ( s @ ( s @ SY892 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SY892 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(178,plain,
! [SV40: $i] :
( ( ! [SY902: $i,SY903: $i,SY904: $i,SY905: $i,SY906: $i,SY907: $i,SY908: $i,SY909: $i,SY910: $i,SY911: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SY902 ) @ SY903 @ SY904 @ SY905 @ SY906 @ SY907 @ SY908 @ SY909 @ SY910 @ SY911 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SY902 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SY902 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SY902 ) @ SY903 @ SY904 @ SY905 @ SY906 @ SY907 @ SY908 @ SY909 @ SY910 @ SY911 @ ( e1 @ SV40 @ SY902 ) @ ( e2 @ SV40 @ ( s @ SY902 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(179,plain,
! [SV41: $i] :
( ( ! [SY912: $i,SY913: $i,SY914: $i,SY915: $i,SY916: $i,SY917: $i,SY918: $i,SY919: $i,SY920: $i,SY921: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SY912 ) @ SY913 @ SY914 @ SY915 @ SY916 @ SY917 @ SY918 @ SY919 @ SY920 @ SY921 @ ( e1 @ SV41 @ SY912 ) @ ( e2 @ SV41 @ ( s @ SY912 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SY912 ) @ SY913 @ SY914 @ SY915 @ SY916 @ SY917 @ SY918 @ SY919 @ SY920 @ SY921 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SY912 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SY912 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(180,plain,
! [SV42: $i] :
( ( ! [SY922: $i,SY923: $i,SY924: $i,SY925: $i,SY926: $i,SY927: $i,SY928: $i,SY929: $i,SY930: $i,SY931: $i,SY932: $i,SY933: $i,SY934: $i] :
( ( ifeq @ ( state @ SV42 @ SY922 @ SY923 @ SY924 @ SY925 @ SY926 @ SY927 @ SY928 @ SY929 @ SY930 @ ( e1 @ SY931 @ SY932 ) @ ( e2 @ SY933 @ SY934 ) ) @ true @ ( state @ SV42 @ SY922 @ SY923 @ SY924 @ SY925 @ SY926 @ SY927 @ SY928 @ SY929 @ SY930 @ ( e1 @ SY933 @ SY934 ) @ ( e2 @ SY931 @ SY932 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(181,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(182,plain,
! [SV43: $i] :
( ( ! [SY935: $i,SY936: $i,SY937: $i,SY938: $i,SY939: $i,SY940: $i,SY941: $i,SY942: $i,SY943: $i,SY944: $i] :
( ( state @ SV43 @ SY935 @ SY936 @ SY937 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SY938 @ SY939 @ SY940 @ SY941 @ SY942 @ SY943 @ SY944 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(183,plain,
! [SV44: $i,SV1: $i] :
( ( ! [SY945: $i] :
( ( ifeq @ SV1 @ SV1 @ SV44 @ SY945 )
= SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(184,plain,
! [SV45: $i,SV2: $i] :
( ( ! [SY946: $i,SY947: $i,SY948: $i,SY949: $i,SY950: $i,SY951: $i,SY952: $i,SY953: $i,SY954: $i,SY955: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SY946 @ SY947 @ SY948 @ SY949 @ ( s1 @ SY950 @ SY951 ) @ SY952 @ SY953 @ SY954 @ ( e1 @ SY950 @ ( s @ SY951 ) ) @ SY955 ) @ true @ ( state @ SV2 @ SV45 @ SY946 @ SY947 @ SY948 @ SY949 @ ( s1 @ SY950 @ ( s @ SY951 ) ) @ SY952 @ SY953 @ SY954 @ ( e1 @ SY950 @ SY951 ) @ SY955 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(185,plain,
! [SV46: $i,SV3: $i] :
( ( ! [SY956: $i,SY957: $i,SY958: $i,SY959: $i,SY960: $i,SY961: $i,SY962: $i,SY963: $i,SY964: $i,SY965: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SY956 @ SY957 @ SY958 @ SY959 @ ( s1 @ SY960 @ ( s @ SY961 ) ) @ SY962 @ SY963 @ SY964 @ ( e1 @ SY960 @ SY961 ) @ SY965 ) @ true @ ( state @ SV3 @ SV46 @ SY956 @ SY957 @ SY958 @ SY959 @ ( s1 @ SY960 @ SY961 ) @ SY962 @ SY963 @ SY964 @ ( e1 @ SY960 @ ( s @ SY961 ) ) @ SY965 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(186,plain,
! [SV47: $i,SV4: $i] :
( ( ! [SY966: $i,SY967: $i,SY968: $i,SY969: $i,SY970: $i,SY971: $i,SY972: $i,SY973: $i,SY974: $i,SY975: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SY966 @ SY967 @ SY968 @ SY969 @ ( s1 @ SY970 @ SY971 ) @ SY972 @ SY973 @ SY974 @ ( e1 @ ( s @ SY970 ) @ SY971 ) @ SY975 ) @ true @ ( state @ SV4 @ SV47 @ SY966 @ SY967 @ SY968 @ SY969 @ ( s1 @ ( s @ SY970 ) @ SY971 ) @ SY972 @ SY973 @ SY974 @ ( e1 @ SY970 @ SY971 ) @ SY975 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(187,plain,
! [SV48: $i,SV5: $i] :
( ( ! [SY976: $i,SY977: $i,SY978: $i,SY979: $i,SY980: $i,SY981: $i,SY982: $i,SY983: $i,SY984: $i,SY985: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SY976 @ SY977 @ SY978 @ SY979 @ ( s1 @ ( s @ SY980 ) @ SY981 ) @ SY982 @ SY983 @ SY984 @ ( e1 @ SY980 @ SY981 ) @ SY985 ) @ true @ ( state @ SV5 @ SV48 @ SY976 @ SY977 @ SY978 @ SY979 @ ( s1 @ SY980 @ SY981 ) @ SY982 @ SY983 @ SY984 @ ( e1 @ ( s @ SY980 ) @ SY981 ) @ SY985 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(188,plain,
! [SV49: $i,SV6: $i] :
( ( ! [SY986: $i,SY987: $i,SY988: $i,SY989: $i,SY990: $i,SY991: $i,SY992: $i,SY993: $i,SY994: $i,SY995: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SY986 @ SY987 @ SY988 @ SY989 @ SY990 @ ( s2 @ SY991 @ SY992 ) @ SY993 @ SY994 @ ( e1 @ SY991 @ ( s @ SY992 ) ) @ SY995 ) @ true @ ( state @ SV6 @ SV49 @ SY986 @ SY987 @ SY988 @ SY989 @ SY990 @ ( s2 @ SY991 @ ( s @ SY992 ) ) @ SY993 @ SY994 @ ( e1 @ SY991 @ SY992 ) @ SY995 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(189,plain,
! [SV50: $i,SV7: $i] :
( ( ! [SY996: $i,SY997: $i,SY998: $i,SY999: $i,SY1000: $i,SY1001: $i,SY1002: $i,SY1003: $i,SY1004: $i,SY1005: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SY996 @ SY997 @ SY998 @ SY999 @ SY1000 @ ( s2 @ SY1001 @ ( s @ SY1002 ) ) @ SY1003 @ SY1004 @ ( e1 @ SY1001 @ SY1002 ) @ SY1005 ) @ true @ ( state @ SV7 @ SV50 @ SY996 @ SY997 @ SY998 @ SY999 @ SY1000 @ ( s2 @ SY1001 @ SY1002 ) @ SY1003 @ SY1004 @ ( e1 @ SY1001 @ ( s @ SY1002 ) ) @ SY1005 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(190,plain,
! [SV51: $i,SV8: $i] :
( ( ! [SY1006: $i,SY1007: $i,SY1008: $i,SY1009: $i,SY1010: $i,SY1011: $i,SY1012: $i,SY1013: $i,SY1014: $i,SY1015: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SY1006 @ SY1007 @ SY1008 @ SY1009 @ SY1010 @ ( s2 @ SY1011 @ SY1012 ) @ SY1013 @ SY1014 @ ( e1 @ ( s @ SY1011 ) @ SY1012 ) @ SY1015 ) @ true @ ( state @ SV8 @ SV51 @ SY1006 @ SY1007 @ SY1008 @ SY1009 @ SY1010 @ ( s2 @ ( s @ SY1011 ) @ SY1012 ) @ SY1013 @ SY1014 @ ( e1 @ SY1011 @ SY1012 ) @ SY1015 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(191,plain,
! [SV52: $i,SV9: $i] :
( ( ! [SY1016: $i,SY1017: $i,SY1018: $i,SY1019: $i,SY1020: $i,SY1021: $i,SY1022: $i,SY1023: $i,SY1024: $i,SY1025: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SY1016 @ SY1017 @ SY1018 @ SY1019 @ SY1020 @ ( s2 @ ( s @ SY1021 ) @ SY1022 ) @ SY1023 @ SY1024 @ ( e1 @ SY1021 @ SY1022 ) @ SY1025 ) @ true @ ( state @ SV9 @ SV52 @ SY1016 @ SY1017 @ SY1018 @ SY1019 @ SY1020 @ ( s2 @ SY1021 @ SY1022 ) @ SY1023 @ SY1024 @ ( e1 @ ( s @ SY1021 ) @ SY1022 ) @ SY1025 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(192,plain,
! [SV53: $i,SV10: $i] :
( ( ! [SY1026: $i,SY1027: $i,SY1028: $i,SY1029: $i,SY1030: $i,SY1031: $i,SY1032: $i,SY1033: $i,SY1034: $i,SY1035: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SY1026 @ SY1027 @ SY1028 @ SY1029 @ SY1030 @ SY1031 @ ( s3 @ SY1032 @ SY1033 ) @ SY1034 @ ( e1 @ SY1032 @ ( s @ SY1033 ) ) @ SY1035 ) @ true @ ( state @ SV10 @ SV53 @ SY1026 @ SY1027 @ SY1028 @ SY1029 @ SY1030 @ SY1031 @ ( s3 @ SY1032 @ ( s @ SY1033 ) ) @ SY1034 @ ( e1 @ SY1032 @ SY1033 ) @ SY1035 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(193,plain,
! [SV54: $i,SV11: $i] :
( ( ! [SY1036: $i,SY1037: $i,SY1038: $i,SY1039: $i,SY1040: $i,SY1041: $i,SY1042: $i,SY1043: $i,SY1044: $i,SY1045: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SY1036 @ SY1037 @ SY1038 @ SY1039 @ SY1040 @ SY1041 @ ( s3 @ SY1042 @ ( s @ SY1043 ) ) @ SY1044 @ ( e1 @ SY1042 @ SY1043 ) @ SY1045 ) @ true @ ( state @ SV11 @ SV54 @ SY1036 @ SY1037 @ SY1038 @ SY1039 @ SY1040 @ SY1041 @ ( s3 @ SY1042 @ SY1043 ) @ SY1044 @ ( e1 @ SY1042 @ ( s @ SY1043 ) ) @ SY1045 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(194,plain,
! [SV55: $i,SV12: $i] :
( ( ! [SY1046: $i,SY1047: $i,SY1048: $i,SY1049: $i,SY1050: $i,SY1051: $i,SY1052: $i,SY1053: $i,SY1054: $i,SY1055: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SY1046 @ SY1047 @ SY1048 @ SY1049 @ SY1050 @ SY1051 @ ( s3 @ SY1052 @ SY1053 ) @ SY1054 @ ( e1 @ ( s @ SY1052 ) @ SY1053 ) @ SY1055 ) @ true @ ( state @ SV12 @ SV55 @ SY1046 @ SY1047 @ SY1048 @ SY1049 @ SY1050 @ SY1051 @ ( s3 @ ( s @ SY1052 ) @ SY1053 ) @ SY1054 @ ( e1 @ SY1052 @ SY1053 ) @ SY1055 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(195,plain,
! [SV56: $i,SV13: $i] :
( ( ! [SY1056: $i,SY1057: $i,SY1058: $i,SY1059: $i,SY1060: $i,SY1061: $i,SY1062: $i,SY1063: $i,SY1064: $i,SY1065: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SY1056 @ SY1057 @ SY1058 @ SY1059 @ SY1060 @ SY1061 @ ( s3 @ ( s @ SY1062 ) @ SY1063 ) @ SY1064 @ ( e1 @ SY1062 @ SY1063 ) @ SY1065 ) @ true @ ( state @ SV13 @ SV56 @ SY1056 @ SY1057 @ SY1058 @ SY1059 @ SY1060 @ SY1061 @ ( s3 @ SY1062 @ SY1063 ) @ SY1064 @ ( e1 @ ( s @ SY1062 ) @ SY1063 ) @ SY1065 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(196,plain,
! [SV57: $i,SV14: $i] :
( ( ! [SY1066: $i,SY1067: $i,SY1068: $i,SY1069: $i,SY1070: $i,SY1071: $i,SY1072: $i,SY1073: $i,SY1074: $i,SY1075: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SY1066 @ SY1067 @ SY1068 @ SY1069 @ SY1070 @ SY1071 @ SY1072 @ ( s4 @ SY1073 @ SY1074 ) @ ( e1 @ SY1073 @ ( s @ SY1074 ) ) @ SY1075 ) @ true @ ( state @ SV14 @ SV57 @ SY1066 @ SY1067 @ SY1068 @ SY1069 @ SY1070 @ SY1071 @ SY1072 @ ( s4 @ SY1073 @ ( s @ SY1074 ) ) @ ( e1 @ SY1073 @ SY1074 ) @ SY1075 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(197,plain,
! [SV58: $i,SV15: $i] :
( ( ! [SY1076: $i,SY1077: $i,SY1078: $i,SY1079: $i,SY1080: $i,SY1081: $i,SY1082: $i,SY1083: $i,SY1084: $i,SY1085: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SY1076 @ SY1077 @ SY1078 @ SY1079 @ SY1080 @ SY1081 @ SY1082 @ ( s4 @ SY1083 @ ( s @ SY1084 ) ) @ ( e1 @ SY1083 @ SY1084 ) @ SY1085 ) @ true @ ( state @ SV15 @ SV58 @ SY1076 @ SY1077 @ SY1078 @ SY1079 @ SY1080 @ SY1081 @ SY1082 @ ( s4 @ SY1083 @ SY1084 ) @ ( e1 @ SY1083 @ ( s @ SY1084 ) ) @ SY1085 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(198,plain,
! [SV59: $i,SV16: $i] :
( ( ! [SY1086: $i,SY1087: $i,SY1088: $i,SY1089: $i,SY1090: $i,SY1091: $i,SY1092: $i,SY1093: $i,SY1094: $i,SY1095: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SY1086 @ SY1087 @ SY1088 @ SY1089 @ SY1090 @ SY1091 @ SY1092 @ ( s4 @ SY1093 @ SY1094 ) @ ( e1 @ ( s @ SY1093 ) @ SY1094 ) @ SY1095 ) @ true @ ( state @ SV16 @ SV59 @ SY1086 @ SY1087 @ SY1088 @ SY1089 @ SY1090 @ SY1091 @ SY1092 @ ( s4 @ ( s @ SY1093 ) @ SY1094 ) @ ( e1 @ SY1093 @ SY1094 ) @ SY1095 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(199,plain,
! [SV60: $i,SV17: $i] :
( ( ! [SY1096: $i,SY1097: $i,SY1098: $i,SY1099: $i,SY1100: $i,SY1101: $i,SY1102: $i,SY1103: $i,SY1104: $i,SY1105: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SY1096 @ SY1097 @ SY1098 @ SY1099 @ SY1100 @ SY1101 @ SY1102 @ ( s4 @ ( s @ SY1103 ) @ SY1104 ) @ ( e1 @ SY1103 @ SY1104 ) @ SY1105 ) @ true @ ( state @ SV17 @ SV60 @ SY1096 @ SY1097 @ SY1098 @ SY1099 @ SY1100 @ SY1101 @ SY1102 @ ( s4 @ SY1103 @ SY1104 ) @ ( e1 @ ( s @ SY1103 ) @ SY1104 ) @ SY1105 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(200,plain,
! [SV61: $i,SV18: $i] :
( ( ! [SY1106: $i,SY1107: $i,SY1108: $i,SY1109: $i,SY1110: $i,SY1111: $i,SY1112: $i,SY1113: $i,SY1114: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SY1106 ) @ SY1107 @ SY1108 @ SY1109 @ SY1110 @ SY1111 @ SY1112 @ SY1113 @ SY1114 @ ( e1 @ SV61 @ ( s @ SY1106 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SY1106 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SY1106 ) ) @ SY1107 @ SY1108 @ SY1109 @ SY1110 @ SY1111 @ SY1112 @ SY1113 @ SY1114 @ ( e1 @ SV61 @ SY1106 ) @ ( e2 @ ( s @ SV61 ) @ SY1106 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(201,plain,
! [SV62: $i,SV19: $i] :
( ( ! [SY1115: $i,SY1116: $i,SY1117: $i,SY1118: $i,SY1119: $i,SY1120: $i,SY1121: $i,SY1122: $i,SY1123: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SY1115 ) ) @ SY1116 @ SY1117 @ SY1118 @ SY1119 @ SY1120 @ SY1121 @ SY1122 @ SY1123 @ ( e1 @ SV62 @ SY1115 ) @ ( e2 @ ( s @ SV62 ) @ SY1115 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SY1115 ) @ SY1116 @ SY1117 @ SY1118 @ SY1119 @ SY1120 @ SY1121 @ SY1122 @ SY1123 @ ( e1 @ SV62 @ ( s @ SY1115 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SY1115 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(202,plain,
! [SV63: $i,SV20: $i] :
( ( ! [SY1124: $i,SY1125: $i,SY1126: $i,SY1127: $i,SY1128: $i,SY1129: $i,SY1130: $i,SY1131: $i,SY1132: $i,SY1133: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SY1124 ) @ SY1125 @ SY1126 @ SY1127 @ SY1128 @ SY1129 @ SY1130 @ SY1131 @ SY1132 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SY1124 ) @ SY1133 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SY1124 ) @ SY1125 @ SY1126 @ SY1127 @ SY1128 @ SY1129 @ SY1130 @ SY1131 @ SY1132 @ ( e1 @ SV63 @ SY1124 ) @ SY1133 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(203,plain,
! [SV64: $i,SV21: $i] :
( ( ! [SY1134: $i,SY1135: $i,SY1136: $i,SY1137: $i,SY1138: $i,SY1139: $i,SY1140: $i,SY1141: $i,SY1142: $i,SY1143: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SY1134 ) @ SY1135 @ SY1136 @ SY1137 @ SY1138 @ SY1139 @ SY1140 @ SY1141 @ SY1142 @ ( e1 @ SV64 @ SY1134 ) @ SY1143 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SY1134 ) @ SY1135 @ SY1136 @ SY1137 @ SY1138 @ SY1139 @ SY1140 @ SY1141 @ SY1142 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SY1134 ) @ SY1143 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(204,plain,
! [SV65: $i,SV22: $i] :
( ( ! [SY1144: $i,SY1145: $i,SY1146: $i,SY1147: $i,SY1148: $i,SY1149: $i,SY1150: $i,SY1151: $i,SY1152: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SY1144 @ SY1145 ) @ SY1146 @ SY1147 @ SY1148 @ SY1149 @ SY1150 @ SY1151 @ SY1152 @ ( e1 @ SY1144 @ ( s @ SY1145 ) ) @ ( e2 @ ( s @ SY1144 ) @ ( s @ SY1145 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SY1144 @ ( s @ SY1145 ) ) @ SY1146 @ SY1147 @ SY1148 @ SY1149 @ SY1150 @ SY1151 @ SY1152 @ ( e1 @ SY1144 @ SY1145 ) @ ( e2 @ ( s @ SY1144 ) @ SY1145 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(205,plain,
! [SV66: $i,SV23: $i] :
( ( ! [SY1153: $i,SY1154: $i,SY1155: $i,SY1156: $i,SY1157: $i,SY1158: $i,SY1159: $i,SY1160: $i,SY1161: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SY1153 @ ( s @ SY1154 ) ) @ SY1155 @ SY1156 @ SY1157 @ SY1158 @ SY1159 @ SY1160 @ SY1161 @ ( e1 @ SY1153 @ SY1154 ) @ ( e2 @ ( s @ SY1153 ) @ SY1154 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SY1153 @ SY1154 ) @ SY1155 @ SY1156 @ SY1157 @ SY1158 @ SY1159 @ SY1160 @ SY1161 @ ( e1 @ SY1153 @ ( s @ SY1154 ) ) @ ( e2 @ ( s @ SY1153 ) @ ( s @ SY1154 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(206,plain,
! [SV67: $i,SV24: $i] :
( ( ! [SY1162: $i,SY1163: $i,SY1164: $i,SY1165: $i,SY1166: $i,SY1167: $i,SY1168: $i,SY1169: $i,SY1170: $i,SY1171: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SY1162 @ SY1163 ) @ SY1164 @ SY1165 @ SY1166 @ SY1167 @ SY1168 @ SY1169 @ SY1170 @ ( e1 @ ( s @ ( s @ SY1162 ) ) @ SY1163 ) @ SY1171 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SY1162 ) @ SY1163 ) @ SY1164 @ SY1165 @ SY1166 @ SY1167 @ SY1168 @ SY1169 @ SY1170 @ ( e1 @ SY1162 @ SY1163 ) @ SY1171 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(207,plain,
! [SV68: $i,SV25: $i] :
( ( ! [SY1172: $i,SY1173: $i,SY1174: $i,SY1175: $i,SY1176: $i,SY1177: $i,SY1178: $i,SY1179: $i,SY1180: $i,SY1181: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SY1172 ) @ SY1173 ) @ SY1174 @ SY1175 @ SY1176 @ SY1177 @ SY1178 @ SY1179 @ SY1180 @ ( e1 @ SY1172 @ SY1173 ) @ SY1181 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SY1172 @ SY1173 ) @ SY1174 @ SY1175 @ SY1176 @ SY1177 @ SY1178 @ SY1179 @ SY1180 @ ( e1 @ ( s @ ( s @ SY1172 ) ) @ SY1173 ) @ SY1181 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(208,plain,
! [SV69: $i,SV26: $i] :
( ( ! [SY1182: $i,SY1183: $i,SY1184: $i,SY1185: $i,SY1186: $i,SY1187: $i,SY1188: $i,SY1189: $i,SY1190: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SY1182 @ ( v3 @ SY1183 @ SY1184 ) @ SY1185 @ SY1186 @ SY1187 @ SY1188 @ SY1189 @ SY1190 @ ( e1 @ SY1183 @ ( s @ SY1184 ) ) @ ( e2 @ ( s @ SY1183 ) @ ( s @ SY1184 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SY1182 @ ( v3 @ SY1183 @ ( s @ SY1184 ) ) @ SY1185 @ SY1186 @ SY1187 @ SY1188 @ SY1189 @ SY1190 @ ( e1 @ SY1183 @ SY1184 ) @ ( e2 @ ( s @ SY1183 ) @ SY1184 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(209,plain,
! [SV70: $i,SV27: $i] :
( ( ! [SY1191: $i,SY1192: $i,SY1193: $i,SY1194: $i,SY1195: $i,SY1196: $i,SY1197: $i,SY1198: $i,SY1199: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SY1191 @ ( v3 @ SY1192 @ ( s @ SY1193 ) ) @ SY1194 @ SY1195 @ SY1196 @ SY1197 @ SY1198 @ SY1199 @ ( e1 @ SY1192 @ SY1193 ) @ ( e2 @ ( s @ SY1192 ) @ SY1193 ) ) @ true @ ( state @ SV27 @ SV70 @ SY1191 @ ( v3 @ SY1192 @ SY1193 ) @ SY1194 @ SY1195 @ SY1196 @ SY1197 @ SY1198 @ SY1199 @ ( e1 @ SY1192 @ ( s @ SY1193 ) ) @ ( e2 @ ( s @ SY1192 ) @ ( s @ SY1193 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(210,plain,
! [SV71: $i,SV28: $i] :
( ( ! [SY1200: $i,SY1201: $i,SY1202: $i,SY1203: $i,SY1204: $i,SY1205: $i,SY1206: $i,SY1207: $i,SY1208: $i,SY1209: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SY1200 @ ( v3 @ SY1201 @ SY1202 ) @ SY1203 @ SY1204 @ SY1205 @ SY1206 @ SY1207 @ SY1208 @ ( e1 @ ( s @ ( s @ SY1201 ) ) @ SY1202 ) @ SY1209 ) @ true @ ( state @ SV28 @ SV71 @ SY1200 @ ( v3 @ ( s @ SY1201 ) @ SY1202 ) @ SY1203 @ SY1204 @ SY1205 @ SY1206 @ SY1207 @ SY1208 @ ( e1 @ SY1201 @ SY1202 ) @ SY1209 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(211,plain,
! [SV72: $i,SV29: $i] :
( ( ! [SY1210: $i,SY1211: $i,SY1212: $i,SY1213: $i,SY1214: $i,SY1215: $i,SY1216: $i,SY1217: $i,SY1218: $i,SY1219: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SY1210 @ ( v3 @ ( s @ SY1211 ) @ SY1212 ) @ SY1213 @ SY1214 @ SY1215 @ SY1216 @ SY1217 @ SY1218 @ ( e1 @ SY1211 @ SY1212 ) @ SY1219 ) @ true @ ( state @ SV29 @ SV72 @ SY1210 @ ( v3 @ SY1211 @ SY1212 ) @ SY1213 @ SY1214 @ SY1215 @ SY1216 @ SY1217 @ SY1218 @ ( e1 @ ( s @ ( s @ SY1211 ) ) @ SY1212 ) @ SY1219 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(212,plain,
! [SV73: $i,SV30: $i] :
( ( ! [SY1220: $i,SY1221: $i,SY1222: $i,SY1223: $i,SY1224: $i,SY1225: $i,SY1226: $i,SY1227: $i,SY1228: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SY1220 @ SY1221 @ ( v4 @ SY1222 @ SY1223 ) @ SY1224 @ SY1225 @ SY1226 @ SY1227 @ SY1228 @ ( e1 @ SY1222 @ ( s @ SY1223 ) ) @ ( e2 @ ( s @ SY1222 ) @ ( s @ SY1223 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SY1220 @ SY1221 @ ( v4 @ SY1222 @ ( s @ SY1223 ) ) @ SY1224 @ SY1225 @ SY1226 @ SY1227 @ SY1228 @ ( e1 @ SY1222 @ SY1223 ) @ ( e2 @ ( s @ SY1222 ) @ SY1223 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(213,plain,
! [SV74: $i,SV31: $i] :
( ( ! [SY1229: $i,SY1230: $i,SY1231: $i,SY1232: $i,SY1233: $i,SY1234: $i,SY1235: $i,SY1236: $i,SY1237: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SY1229 @ SY1230 @ ( v4 @ SY1231 @ ( s @ SY1232 ) ) @ SY1233 @ SY1234 @ SY1235 @ SY1236 @ SY1237 @ ( e1 @ SY1231 @ SY1232 ) @ ( e2 @ ( s @ SY1231 ) @ SY1232 ) ) @ true @ ( state @ SV31 @ SV74 @ SY1229 @ SY1230 @ ( v4 @ SY1231 @ SY1232 ) @ SY1233 @ SY1234 @ SY1235 @ SY1236 @ SY1237 @ ( e1 @ SY1231 @ ( s @ SY1232 ) ) @ ( e2 @ ( s @ SY1231 ) @ ( s @ SY1232 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(214,plain,
! [SV75: $i,SV32: $i] :
( ( ! [SY1238: $i,SY1239: $i,SY1240: $i,SY1241: $i,SY1242: $i,SY1243: $i,SY1244: $i,SY1245: $i,SY1246: $i,SY1247: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SY1238 @ SY1239 @ ( v4 @ SY1240 @ SY1241 ) @ SY1242 @ SY1243 @ SY1244 @ SY1245 @ SY1246 @ ( e1 @ ( s @ ( s @ SY1240 ) ) @ SY1241 ) @ SY1247 ) @ true @ ( state @ SV32 @ SV75 @ SY1238 @ SY1239 @ ( v4 @ ( s @ SY1240 ) @ SY1241 ) @ SY1242 @ SY1243 @ SY1244 @ SY1245 @ SY1246 @ ( e1 @ SY1240 @ SY1241 ) @ SY1247 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(215,plain,
! [SV76: $i,SV33: $i] :
( ( ! [SY1248: $i,SY1249: $i,SY1250: $i,SY1251: $i,SY1252: $i,SY1253: $i,SY1254: $i,SY1255: $i,SY1256: $i,SY1257: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SY1248 @ SY1249 @ ( v4 @ ( s @ SY1250 ) @ SY1251 ) @ SY1252 @ SY1253 @ SY1254 @ SY1255 @ SY1256 @ ( e1 @ SY1250 @ SY1251 ) @ SY1257 ) @ true @ ( state @ SV33 @ SV76 @ SY1248 @ SY1249 @ ( v4 @ SY1250 @ SY1251 ) @ SY1252 @ SY1253 @ SY1254 @ SY1255 @ SY1256 @ ( e1 @ ( s @ ( s @ SY1250 ) ) @ SY1251 ) @ SY1257 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(216,plain,
! [SV77: $i,SV34: $i] :
( ( ! [SY1258: $i,SY1259: $i,SY1260: $i,SY1261: $i,SY1262: $i,SY1263: $i,SY1264: $i,SY1265: $i,SY1266: $i,SY1267: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SY1258 @ SY1259 @ SY1260 @ ( h @ SY1261 @ SY1262 ) @ SY1263 @ SY1264 @ SY1265 @ SY1266 @ ( e1 @ SY1261 @ ( s @ ( s @ SY1262 ) ) ) @ SY1267 ) @ true @ ( state @ SV34 @ SV77 @ SY1258 @ SY1259 @ SY1260 @ ( h @ SY1261 @ ( s @ SY1262 ) ) @ SY1263 @ SY1264 @ SY1265 @ SY1266 @ ( e1 @ SY1261 @ SY1262 ) @ SY1267 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(217,plain,
! [SV78: $i,SV35: $i] :
( ( ! [SY1268: $i,SY1269: $i,SY1270: $i,SY1271: $i,SY1272: $i,SY1273: $i,SY1274: $i,SY1275: $i,SY1276: $i,SY1277: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SY1268 @ SY1269 @ SY1270 @ ( h @ SY1271 @ ( s @ SY1272 ) ) @ SY1273 @ SY1274 @ SY1275 @ SY1276 @ ( e1 @ SY1271 @ SY1272 ) @ SY1277 ) @ true @ ( state @ SV35 @ SV78 @ SY1268 @ SY1269 @ SY1270 @ ( h @ SY1271 @ SY1272 ) @ SY1273 @ SY1274 @ SY1275 @ SY1276 @ ( e1 @ SY1271 @ ( s @ ( s @ SY1272 ) ) ) @ SY1277 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(218,plain,
! [SV79: $i,SV36: $i] :
( ( ! [SY1278: $i,SY1279: $i,SY1280: $i,SY1281: $i,SY1282: $i,SY1283: $i,SY1284: $i,SY1285: $i,SY1286: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SY1278 @ SY1279 @ SY1280 @ ( h @ SY1281 @ SY1282 ) @ SY1283 @ SY1284 @ SY1285 @ SY1286 @ ( e1 @ ( s @ SY1281 ) @ SY1282 ) @ ( e2 @ ( s @ SY1281 ) @ ( s @ SY1282 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SY1278 @ SY1279 @ SY1280 @ ( h @ ( s @ SY1281 ) @ SY1282 ) @ SY1283 @ SY1284 @ SY1285 @ SY1286 @ ( e1 @ SY1281 @ SY1282 ) @ ( e2 @ SY1281 @ ( s @ SY1282 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(219,plain,
! [SV80: $i,SV37: $i] :
( ( ! [SY1287: $i,SY1288: $i,SY1289: $i,SY1290: $i,SY1291: $i,SY1292: $i,SY1293: $i,SY1294: $i,SY1295: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SY1287 @ SY1288 @ SY1289 @ ( h @ ( s @ SY1290 ) @ SY1291 ) @ SY1292 @ SY1293 @ SY1294 @ SY1295 @ ( e1 @ SY1290 @ SY1291 ) @ ( e2 @ SY1290 @ ( s @ SY1291 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SY1287 @ SY1288 @ SY1289 @ ( h @ SY1290 @ SY1291 ) @ SY1292 @ SY1293 @ SY1294 @ SY1295 @ ( e1 @ ( s @ SY1290 ) @ SY1291 ) @ ( e2 @ ( s @ SY1290 ) @ ( s @ SY1291 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(220,plain,
! [SV81: $i,SV38: $i] :
( ( ! [SY1296: $i,SY1297: $i,SY1298: $i,SY1299: $i,SY1300: $i,SY1301: $i,SY1302: $i,SY1303: $i,SY1304: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SY1296 @ SY1297 @ SY1298 @ SY1299 @ SY1300 @ SY1301 @ SY1302 @ SY1303 @ SY1304 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SY1296 @ SY1297 @ SY1298 @ SY1299 @ SY1300 @ SY1301 @ SY1302 @ SY1303 @ SY1304 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(221,plain,
! [SV82: $i,SV39: $i] :
( ( ! [SY1305: $i,SY1306: $i,SY1307: $i,SY1308: $i,SY1309: $i,SY1310: $i,SY1311: $i,SY1312: $i,SY1313: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SY1305 @ SY1306 @ SY1307 @ SY1308 @ SY1309 @ SY1310 @ SY1311 @ SY1312 @ SY1313 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SY1305 @ SY1306 @ SY1307 @ SY1308 @ SY1309 @ SY1310 @ SY1311 @ SY1312 @ SY1313 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(222,plain,
! [SV83: $i,SV40: $i] :
( ( ! [SY1314: $i,SY1315: $i,SY1316: $i,SY1317: $i,SY1318: $i,SY1319: $i,SY1320: $i,SY1321: $i,SY1322: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SY1314 @ SY1315 @ SY1316 @ SY1317 @ SY1318 @ SY1319 @ SY1320 @ SY1321 @ SY1322 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SY1314 @ SY1315 @ SY1316 @ SY1317 @ SY1318 @ SY1319 @ SY1320 @ SY1321 @ SY1322 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(223,plain,
! [SV84: $i,SV41: $i] :
( ( ! [SY1323: $i,SY1324: $i,SY1325: $i,SY1326: $i,SY1327: $i,SY1328: $i,SY1329: $i,SY1330: $i,SY1331: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SY1323 @ SY1324 @ SY1325 @ SY1326 @ SY1327 @ SY1328 @ SY1329 @ SY1330 @ SY1331 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SY1323 @ SY1324 @ SY1325 @ SY1326 @ SY1327 @ SY1328 @ SY1329 @ SY1330 @ SY1331 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(224,plain,
! [SV85: $i,SV42: $i] :
( ( ! [SY1332: $i,SY1333: $i,SY1334: $i,SY1335: $i,SY1336: $i,SY1337: $i,SY1338: $i,SY1339: $i,SY1340: $i,SY1341: $i,SY1342: $i,SY1343: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SY1332 @ SY1333 @ SY1334 @ SY1335 @ SY1336 @ SY1337 @ SY1338 @ SY1339 @ ( e1 @ SY1340 @ SY1341 ) @ ( e2 @ SY1342 @ SY1343 ) ) @ true @ ( state @ SV42 @ SV85 @ SY1332 @ SY1333 @ SY1334 @ SY1335 @ SY1336 @ SY1337 @ SY1338 @ SY1339 @ ( e1 @ SY1342 @ SY1343 ) @ ( e2 @ SY1340 @ SY1341 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(225,plain,
! [SV86: $i,SV43: $i] :
( ( ! [SY1344: $i,SY1345: $i,SY1346: $i,SY1347: $i,SY1348: $i,SY1349: $i,SY1350: $i,SY1351: $i,SY1352: $i] :
( ( state @ SV43 @ SV86 @ SY1344 @ SY1345 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SY1346 @ SY1347 @ SY1348 @ SY1349 @ SY1350 @ SY1351 @ SY1352 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(226,plain,
! [SV87: $i,SV44: $i,SV1: $i] :
( ( ( ifeq @ SV1 @ SV1 @ SV44 @ SV87 )
= SV44 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(227,plain,
! [SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY1353: $i,SY1354: $i,SY1355: $i,SY1356: $i,SY1357: $i,SY1358: $i,SY1359: $i,SY1360: $i,SY1361: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SY1353 @ SY1354 @ SY1355 @ ( s1 @ SY1356 @ SY1357 ) @ SY1358 @ SY1359 @ SY1360 @ ( e1 @ SY1356 @ ( s @ SY1357 ) ) @ SY1361 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SY1353 @ SY1354 @ SY1355 @ ( s1 @ SY1356 @ ( s @ SY1357 ) ) @ SY1358 @ SY1359 @ SY1360 @ ( e1 @ SY1356 @ SY1357 ) @ SY1361 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(228,plain,
! [SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY1362: $i,SY1363: $i,SY1364: $i,SY1365: $i,SY1366: $i,SY1367: $i,SY1368: $i,SY1369: $i,SY1370: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SY1362 @ SY1363 @ SY1364 @ ( s1 @ SY1365 @ ( s @ SY1366 ) ) @ SY1367 @ SY1368 @ SY1369 @ ( e1 @ SY1365 @ SY1366 ) @ SY1370 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SY1362 @ SY1363 @ SY1364 @ ( s1 @ SY1365 @ SY1366 ) @ SY1367 @ SY1368 @ SY1369 @ ( e1 @ SY1365 @ ( s @ SY1366 ) ) @ SY1370 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(229,plain,
! [SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY1371: $i,SY1372: $i,SY1373: $i,SY1374: $i,SY1375: $i,SY1376: $i,SY1377: $i,SY1378: $i,SY1379: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SY1371 @ SY1372 @ SY1373 @ ( s1 @ SY1374 @ SY1375 ) @ SY1376 @ SY1377 @ SY1378 @ ( e1 @ ( s @ SY1374 ) @ SY1375 ) @ SY1379 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SY1371 @ SY1372 @ SY1373 @ ( s1 @ ( s @ SY1374 ) @ SY1375 ) @ SY1376 @ SY1377 @ SY1378 @ ( e1 @ SY1374 @ SY1375 ) @ SY1379 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(230,plain,
! [SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY1380: $i,SY1381: $i,SY1382: $i,SY1383: $i,SY1384: $i,SY1385: $i,SY1386: $i,SY1387: $i,SY1388: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SY1380 @ SY1381 @ SY1382 @ ( s1 @ ( s @ SY1383 ) @ SY1384 ) @ SY1385 @ SY1386 @ SY1387 @ ( e1 @ SY1383 @ SY1384 ) @ SY1388 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SY1380 @ SY1381 @ SY1382 @ ( s1 @ SY1383 @ SY1384 ) @ SY1385 @ SY1386 @ SY1387 @ ( e1 @ ( s @ SY1383 ) @ SY1384 ) @ SY1388 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(231,plain,
! [SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY1389: $i,SY1390: $i,SY1391: $i,SY1392: $i,SY1393: $i,SY1394: $i,SY1395: $i,SY1396: $i,SY1397: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SY1389 @ SY1390 @ SY1391 @ SY1392 @ ( s2 @ SY1393 @ SY1394 ) @ SY1395 @ SY1396 @ ( e1 @ SY1393 @ ( s @ SY1394 ) ) @ SY1397 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SY1389 @ SY1390 @ SY1391 @ SY1392 @ ( s2 @ SY1393 @ ( s @ SY1394 ) ) @ SY1395 @ SY1396 @ ( e1 @ SY1393 @ SY1394 ) @ SY1397 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(232,plain,
! [SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY1398: $i,SY1399: $i,SY1400: $i,SY1401: $i,SY1402: $i,SY1403: $i,SY1404: $i,SY1405: $i,SY1406: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SY1398 @ SY1399 @ SY1400 @ SY1401 @ ( s2 @ SY1402 @ ( s @ SY1403 ) ) @ SY1404 @ SY1405 @ ( e1 @ SY1402 @ SY1403 ) @ SY1406 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SY1398 @ SY1399 @ SY1400 @ SY1401 @ ( s2 @ SY1402 @ SY1403 ) @ SY1404 @ SY1405 @ ( e1 @ SY1402 @ ( s @ SY1403 ) ) @ SY1406 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(233,plain,
! [SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY1407: $i,SY1408: $i,SY1409: $i,SY1410: $i,SY1411: $i,SY1412: $i,SY1413: $i,SY1414: $i,SY1415: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SY1407 @ SY1408 @ SY1409 @ SY1410 @ ( s2 @ SY1411 @ SY1412 ) @ SY1413 @ SY1414 @ ( e1 @ ( s @ SY1411 ) @ SY1412 ) @ SY1415 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SY1407 @ SY1408 @ SY1409 @ SY1410 @ ( s2 @ ( s @ SY1411 ) @ SY1412 ) @ SY1413 @ SY1414 @ ( e1 @ SY1411 @ SY1412 ) @ SY1415 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(234,plain,
! [SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY1416: $i,SY1417: $i,SY1418: $i,SY1419: $i,SY1420: $i,SY1421: $i,SY1422: $i,SY1423: $i,SY1424: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SY1416 @ SY1417 @ SY1418 @ SY1419 @ ( s2 @ ( s @ SY1420 ) @ SY1421 ) @ SY1422 @ SY1423 @ ( e1 @ SY1420 @ SY1421 ) @ SY1424 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SY1416 @ SY1417 @ SY1418 @ SY1419 @ ( s2 @ SY1420 @ SY1421 ) @ SY1422 @ SY1423 @ ( e1 @ ( s @ SY1420 ) @ SY1421 ) @ SY1424 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(235,plain,
! [SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY1425: $i,SY1426: $i,SY1427: $i,SY1428: $i,SY1429: $i,SY1430: $i,SY1431: $i,SY1432: $i,SY1433: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SY1425 @ SY1426 @ SY1427 @ SY1428 @ SY1429 @ ( s3 @ SY1430 @ SY1431 ) @ SY1432 @ ( e1 @ SY1430 @ ( s @ SY1431 ) ) @ SY1433 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SY1425 @ SY1426 @ SY1427 @ SY1428 @ SY1429 @ ( s3 @ SY1430 @ ( s @ SY1431 ) ) @ SY1432 @ ( e1 @ SY1430 @ SY1431 ) @ SY1433 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(236,plain,
! [SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY1434: $i,SY1435: $i,SY1436: $i,SY1437: $i,SY1438: $i,SY1439: $i,SY1440: $i,SY1441: $i,SY1442: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SY1434 @ SY1435 @ SY1436 @ SY1437 @ SY1438 @ ( s3 @ SY1439 @ ( s @ SY1440 ) ) @ SY1441 @ ( e1 @ SY1439 @ SY1440 ) @ SY1442 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SY1434 @ SY1435 @ SY1436 @ SY1437 @ SY1438 @ ( s3 @ SY1439 @ SY1440 ) @ SY1441 @ ( e1 @ SY1439 @ ( s @ SY1440 ) ) @ SY1442 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(237,plain,
! [SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY1443: $i,SY1444: $i,SY1445: $i,SY1446: $i,SY1447: $i,SY1448: $i,SY1449: $i,SY1450: $i,SY1451: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SY1443 @ SY1444 @ SY1445 @ SY1446 @ SY1447 @ ( s3 @ SY1448 @ SY1449 ) @ SY1450 @ ( e1 @ ( s @ SY1448 ) @ SY1449 ) @ SY1451 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SY1443 @ SY1444 @ SY1445 @ SY1446 @ SY1447 @ ( s3 @ ( s @ SY1448 ) @ SY1449 ) @ SY1450 @ ( e1 @ SY1448 @ SY1449 ) @ SY1451 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(238,plain,
! [SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY1452: $i,SY1453: $i,SY1454: $i,SY1455: $i,SY1456: $i,SY1457: $i,SY1458: $i,SY1459: $i,SY1460: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SY1452 @ SY1453 @ SY1454 @ SY1455 @ SY1456 @ ( s3 @ ( s @ SY1457 ) @ SY1458 ) @ SY1459 @ ( e1 @ SY1457 @ SY1458 ) @ SY1460 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SY1452 @ SY1453 @ SY1454 @ SY1455 @ SY1456 @ ( s3 @ SY1457 @ SY1458 ) @ SY1459 @ ( e1 @ ( s @ SY1457 ) @ SY1458 ) @ SY1460 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(239,plain,
! [SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY1461: $i,SY1462: $i,SY1463: $i,SY1464: $i,SY1465: $i,SY1466: $i,SY1467: $i,SY1468: $i,SY1469: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SY1461 @ SY1462 @ SY1463 @ SY1464 @ SY1465 @ SY1466 @ ( s4 @ SY1467 @ SY1468 ) @ ( e1 @ SY1467 @ ( s @ SY1468 ) ) @ SY1469 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SY1461 @ SY1462 @ SY1463 @ SY1464 @ SY1465 @ SY1466 @ ( s4 @ SY1467 @ ( s @ SY1468 ) ) @ ( e1 @ SY1467 @ SY1468 ) @ SY1469 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(240,plain,
! [SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY1470: $i,SY1471: $i,SY1472: $i,SY1473: $i,SY1474: $i,SY1475: $i,SY1476: $i,SY1477: $i,SY1478: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SY1470 @ SY1471 @ SY1472 @ SY1473 @ SY1474 @ SY1475 @ ( s4 @ SY1476 @ ( s @ SY1477 ) ) @ ( e1 @ SY1476 @ SY1477 ) @ SY1478 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SY1470 @ SY1471 @ SY1472 @ SY1473 @ SY1474 @ SY1475 @ ( s4 @ SY1476 @ SY1477 ) @ ( e1 @ SY1476 @ ( s @ SY1477 ) ) @ SY1478 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(241,plain,
! [SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY1479: $i,SY1480: $i,SY1481: $i,SY1482: $i,SY1483: $i,SY1484: $i,SY1485: $i,SY1486: $i,SY1487: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SY1479 @ SY1480 @ SY1481 @ SY1482 @ SY1483 @ SY1484 @ ( s4 @ SY1485 @ SY1486 ) @ ( e1 @ ( s @ SY1485 ) @ SY1486 ) @ SY1487 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SY1479 @ SY1480 @ SY1481 @ SY1482 @ SY1483 @ SY1484 @ ( s4 @ ( s @ SY1485 ) @ SY1486 ) @ ( e1 @ SY1485 @ SY1486 ) @ SY1487 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(242,plain,
! [SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY1488: $i,SY1489: $i,SY1490: $i,SY1491: $i,SY1492: $i,SY1493: $i,SY1494: $i,SY1495: $i,SY1496: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SY1488 @ SY1489 @ SY1490 @ SY1491 @ SY1492 @ SY1493 @ ( s4 @ ( s @ SY1494 ) @ SY1495 ) @ ( e1 @ SY1494 @ SY1495 ) @ SY1496 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SY1488 @ SY1489 @ SY1490 @ SY1491 @ SY1492 @ SY1493 @ ( s4 @ SY1494 @ SY1495 ) @ ( e1 @ ( s @ SY1494 ) @ SY1495 ) @ SY1496 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(243,plain,
! [SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY1497: $i,SY1498: $i,SY1499: $i,SY1500: $i,SY1501: $i,SY1502: $i,SY1503: $i,SY1504: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SY1497 @ SY1498 @ SY1499 @ SY1500 @ SY1501 @ SY1502 @ SY1503 @ SY1504 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SY1497 @ SY1498 @ SY1499 @ SY1500 @ SY1501 @ SY1502 @ SY1503 @ SY1504 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(244,plain,
! [SV105: $i,SV62: $i,SV19: $i] :
( ( ! [SY1505: $i,SY1506: $i,SY1507: $i,SY1508: $i,SY1509: $i,SY1510: $i,SY1511: $i,SY1512: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SY1505 @ SY1506 @ SY1507 @ SY1508 @ SY1509 @ SY1510 @ SY1511 @ SY1512 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SY1505 @ SY1506 @ SY1507 @ SY1508 @ SY1509 @ SY1510 @ SY1511 @ SY1512 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(245,plain,
! [SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY1513: $i,SY1514: $i,SY1515: $i,SY1516: $i,SY1517: $i,SY1518: $i,SY1519: $i,SY1520: $i,SY1521: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SY1513 @ SY1514 @ SY1515 @ SY1516 @ SY1517 @ SY1518 @ SY1519 @ SY1520 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY1521 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SY1513 @ SY1514 @ SY1515 @ SY1516 @ SY1517 @ SY1518 @ SY1519 @ SY1520 @ ( e1 @ SV63 @ SV106 ) @ SY1521 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(246,plain,
! [SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY1522: $i,SY1523: $i,SY1524: $i,SY1525: $i,SY1526: $i,SY1527: $i,SY1528: $i,SY1529: $i,SY1530: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SY1522 @ SY1523 @ SY1524 @ SY1525 @ SY1526 @ SY1527 @ SY1528 @ SY1529 @ ( e1 @ SV64 @ SV107 ) @ SY1530 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SY1522 @ SY1523 @ SY1524 @ SY1525 @ SY1526 @ SY1527 @ SY1528 @ SY1529 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY1530 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(247,plain,
! [SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY1531: $i,SY1532: $i,SY1533: $i,SY1534: $i,SY1535: $i,SY1536: $i,SY1537: $i,SY1538: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SY1531 ) @ SY1532 @ SY1533 @ SY1534 @ SY1535 @ SY1536 @ SY1537 @ SY1538 @ ( e1 @ SV108 @ ( s @ SY1531 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SY1531 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SY1531 ) ) @ SY1532 @ SY1533 @ SY1534 @ SY1535 @ SY1536 @ SY1537 @ SY1538 @ ( e1 @ SV108 @ SY1531 ) @ ( e2 @ ( s @ SV108 ) @ SY1531 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(248,plain,
! [SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY1539: $i,SY1540: $i,SY1541: $i,SY1542: $i,SY1543: $i,SY1544: $i,SY1545: $i,SY1546: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SY1539 ) ) @ SY1540 @ SY1541 @ SY1542 @ SY1543 @ SY1544 @ SY1545 @ SY1546 @ ( e1 @ SV109 @ SY1539 ) @ ( e2 @ ( s @ SV109 ) @ SY1539 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SY1539 ) @ SY1540 @ SY1541 @ SY1542 @ SY1543 @ SY1544 @ SY1545 @ SY1546 @ ( e1 @ SV109 @ ( s @ SY1539 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SY1539 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(249,plain,
! [SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY1547: $i,SY1548: $i,SY1549: $i,SY1550: $i,SY1551: $i,SY1552: $i,SY1553: $i,SY1554: $i,SY1555: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SY1547 ) @ SY1548 @ SY1549 @ SY1550 @ SY1551 @ SY1552 @ SY1553 @ SY1554 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SY1547 ) @ SY1555 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SY1547 ) @ SY1548 @ SY1549 @ SY1550 @ SY1551 @ SY1552 @ SY1553 @ SY1554 @ ( e1 @ SV110 @ SY1547 ) @ SY1555 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(250,plain,
! [SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY1556: $i,SY1557: $i,SY1558: $i,SY1559: $i,SY1560: $i,SY1561: $i,SY1562: $i,SY1563: $i,SY1564: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SY1556 ) @ SY1557 @ SY1558 @ SY1559 @ SY1560 @ SY1561 @ SY1562 @ SY1563 @ ( e1 @ SV111 @ SY1556 ) @ SY1564 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SY1556 ) @ SY1557 @ SY1558 @ SY1559 @ SY1560 @ SY1561 @ SY1562 @ SY1563 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SY1556 ) @ SY1564 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(251,plain,
! [SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY1565: $i,SY1566: $i,SY1567: $i,SY1568: $i,SY1569: $i,SY1570: $i,SY1571: $i,SY1572: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SY1565 @ SY1566 ) @ SY1567 @ SY1568 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ ( e1 @ SY1565 @ ( s @ SY1566 ) ) @ ( e2 @ ( s @ SY1565 ) @ ( s @ SY1566 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SY1565 @ ( s @ SY1566 ) ) @ SY1567 @ SY1568 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ ( e1 @ SY1565 @ SY1566 ) @ ( e2 @ ( s @ SY1565 ) @ SY1566 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(252,plain,
! [SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY1573: $i,SY1574: $i,SY1575: $i,SY1576: $i,SY1577: $i,SY1578: $i,SY1579: $i,SY1580: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SY1573 @ ( s @ SY1574 ) ) @ SY1575 @ SY1576 @ SY1577 @ SY1578 @ SY1579 @ SY1580 @ ( e1 @ SY1573 @ SY1574 ) @ ( e2 @ ( s @ SY1573 ) @ SY1574 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SY1573 @ SY1574 ) @ SY1575 @ SY1576 @ SY1577 @ SY1578 @ SY1579 @ SY1580 @ ( e1 @ SY1573 @ ( s @ SY1574 ) ) @ ( e2 @ ( s @ SY1573 ) @ ( s @ SY1574 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(253,plain,
! [SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY1581: $i,SY1582: $i,SY1583: $i,SY1584: $i,SY1585: $i,SY1586: $i,SY1587: $i,SY1588: $i,SY1589: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SY1581 @ SY1582 ) @ SY1583 @ SY1584 @ SY1585 @ SY1586 @ SY1587 @ SY1588 @ ( e1 @ ( s @ ( s @ SY1581 ) ) @ SY1582 ) @ SY1589 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SY1581 ) @ SY1582 ) @ SY1583 @ SY1584 @ SY1585 @ SY1586 @ SY1587 @ SY1588 @ ( e1 @ SY1581 @ SY1582 ) @ SY1589 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(254,plain,
! [SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY1590: $i,SY1591: $i,SY1592: $i,SY1593: $i,SY1594: $i,SY1595: $i,SY1596: $i,SY1597: $i,SY1598: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SY1590 ) @ SY1591 ) @ SY1592 @ SY1593 @ SY1594 @ SY1595 @ SY1596 @ SY1597 @ ( e1 @ SY1590 @ SY1591 ) @ SY1598 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SY1590 @ SY1591 ) @ SY1592 @ SY1593 @ SY1594 @ SY1595 @ SY1596 @ SY1597 @ ( e1 @ ( s @ ( s @ SY1590 ) ) @ SY1591 ) @ SY1598 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(255,plain,
! [SV116: $i,SV73: $i,SV30: $i] :
( ( ! [SY1599: $i,SY1600: $i,SY1601: $i,SY1602: $i,SY1603: $i,SY1604: $i,SY1605: $i,SY1606: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SY1599 @ ( v4 @ SY1600 @ SY1601 ) @ SY1602 @ SY1603 @ SY1604 @ SY1605 @ SY1606 @ ( e1 @ SY1600 @ ( s @ SY1601 ) ) @ ( e2 @ ( s @ SY1600 ) @ ( s @ SY1601 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SY1599 @ ( v4 @ SY1600 @ ( s @ SY1601 ) ) @ SY1602 @ SY1603 @ SY1604 @ SY1605 @ SY1606 @ ( e1 @ SY1600 @ SY1601 ) @ ( e2 @ ( s @ SY1600 ) @ SY1601 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(256,plain,
! [SV117: $i,SV74: $i,SV31: $i] :
( ( ! [SY1607: $i,SY1608: $i,SY1609: $i,SY1610: $i,SY1611: $i,SY1612: $i,SY1613: $i,SY1614: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SY1607 @ ( v4 @ SY1608 @ ( s @ SY1609 ) ) @ SY1610 @ SY1611 @ SY1612 @ SY1613 @ SY1614 @ ( e1 @ SY1608 @ SY1609 ) @ ( e2 @ ( s @ SY1608 ) @ SY1609 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SY1607 @ ( v4 @ SY1608 @ SY1609 ) @ SY1610 @ SY1611 @ SY1612 @ SY1613 @ SY1614 @ ( e1 @ SY1608 @ ( s @ SY1609 ) ) @ ( e2 @ ( s @ SY1608 ) @ ( s @ SY1609 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(257,plain,
! [SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY1615: $i,SY1616: $i,SY1617: $i,SY1618: $i,SY1619: $i,SY1620: $i,SY1621: $i,SY1622: $i,SY1623: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SY1615 @ ( v4 @ SY1616 @ SY1617 ) @ SY1618 @ SY1619 @ SY1620 @ SY1621 @ SY1622 @ ( e1 @ ( s @ ( s @ SY1616 ) ) @ SY1617 ) @ SY1623 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SY1615 @ ( v4 @ ( s @ SY1616 ) @ SY1617 ) @ SY1618 @ SY1619 @ SY1620 @ SY1621 @ SY1622 @ ( e1 @ SY1616 @ SY1617 ) @ SY1623 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(258,plain,
! [SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY1624: $i,SY1625: $i,SY1626: $i,SY1627: $i,SY1628: $i,SY1629: $i,SY1630: $i,SY1631: $i,SY1632: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SY1624 @ ( v4 @ ( s @ SY1625 ) @ SY1626 ) @ SY1627 @ SY1628 @ SY1629 @ SY1630 @ SY1631 @ ( e1 @ SY1625 @ SY1626 ) @ SY1632 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SY1624 @ ( v4 @ SY1625 @ SY1626 ) @ SY1627 @ SY1628 @ SY1629 @ SY1630 @ SY1631 @ ( e1 @ ( s @ ( s @ SY1625 ) ) @ SY1626 ) @ SY1632 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(259,plain,
! [SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY1633: $i,SY1634: $i,SY1635: $i,SY1636: $i,SY1637: $i,SY1638: $i,SY1639: $i,SY1640: $i,SY1641: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SY1633 @ SY1634 @ ( h @ SY1635 @ SY1636 ) @ SY1637 @ SY1638 @ SY1639 @ SY1640 @ ( e1 @ SY1635 @ ( s @ ( s @ SY1636 ) ) ) @ SY1641 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SY1633 @ SY1634 @ ( h @ SY1635 @ ( s @ SY1636 ) ) @ SY1637 @ SY1638 @ SY1639 @ SY1640 @ ( e1 @ SY1635 @ SY1636 ) @ SY1641 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(260,plain,
! [SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY1642: $i,SY1643: $i,SY1644: $i,SY1645: $i,SY1646: $i,SY1647: $i,SY1648: $i,SY1649: $i,SY1650: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SY1642 @ SY1643 @ ( h @ SY1644 @ ( s @ SY1645 ) ) @ SY1646 @ SY1647 @ SY1648 @ SY1649 @ ( e1 @ SY1644 @ SY1645 ) @ SY1650 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SY1642 @ SY1643 @ ( h @ SY1644 @ SY1645 ) @ SY1646 @ SY1647 @ SY1648 @ SY1649 @ ( e1 @ SY1644 @ ( s @ ( s @ SY1645 ) ) ) @ SY1650 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(261,plain,
! [SV122: $i,SV79: $i,SV36: $i] :
( ( ! [SY1651: $i,SY1652: $i,SY1653: $i,SY1654: $i,SY1655: $i,SY1656: $i,SY1657: $i,SY1658: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SY1651 @ SY1652 @ ( h @ SY1653 @ SY1654 ) @ SY1655 @ SY1656 @ SY1657 @ SY1658 @ ( e1 @ ( s @ SY1653 ) @ SY1654 ) @ ( e2 @ ( s @ SY1653 ) @ ( s @ SY1654 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SY1651 @ SY1652 @ ( h @ ( s @ SY1653 ) @ SY1654 ) @ SY1655 @ SY1656 @ SY1657 @ SY1658 @ ( e1 @ SY1653 @ SY1654 ) @ ( e2 @ SY1653 @ ( s @ SY1654 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(262,plain,
! [SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY1659: $i,SY1660: $i,SY1661: $i,SY1662: $i,SY1663: $i,SY1664: $i,SY1665: $i,SY1666: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SY1659 @ SY1660 @ ( h @ ( s @ SY1661 ) @ SY1662 ) @ SY1663 @ SY1664 @ SY1665 @ SY1666 @ ( e1 @ SY1661 @ SY1662 ) @ ( e2 @ SY1661 @ ( s @ SY1662 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SY1659 @ SY1660 @ ( h @ SY1661 @ SY1662 ) @ SY1663 @ SY1664 @ SY1665 @ SY1666 @ ( e1 @ ( s @ SY1661 ) @ SY1662 ) @ ( e2 @ ( s @ SY1661 ) @ ( s @ SY1662 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(263,plain,
! [SV124: $i,SV81: $i,SV38: $i] :
( ( ! [SY1667: $i,SY1668: $i,SY1669: $i,SY1670: $i,SY1671: $i,SY1672: $i,SY1673: $i,SY1674: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SY1667 @ SY1668 @ SY1669 @ SY1670 @ SY1671 @ SY1672 @ SY1673 @ SY1674 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SY1667 @ SY1668 @ SY1669 @ SY1670 @ SY1671 @ SY1672 @ SY1673 @ SY1674 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(264,plain,
! [SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY1675: $i,SY1676: $i,SY1677: $i,SY1678: $i,SY1679: $i,SY1680: $i,SY1681: $i,SY1682: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SY1675 @ SY1676 @ SY1677 @ SY1678 @ SY1679 @ SY1680 @ SY1681 @ SY1682 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SY1675 @ SY1676 @ SY1677 @ SY1678 @ SY1679 @ SY1680 @ SY1681 @ SY1682 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(265,plain,
! [SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY1683: $i,SY1684: $i,SY1685: $i,SY1686: $i,SY1687: $i,SY1688: $i,SY1689: $i,SY1690: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SY1683 @ SY1684 @ SY1685 @ SY1686 @ SY1687 @ SY1688 @ SY1689 @ SY1690 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SY1683 @ SY1684 @ SY1685 @ SY1686 @ SY1687 @ SY1688 @ SY1689 @ SY1690 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(266,plain,
! [SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY1691: $i,SY1692: $i,SY1693: $i,SY1694: $i,SY1695: $i,SY1696: $i,SY1697: $i,SY1698: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SY1691 @ SY1692 @ SY1693 @ SY1694 @ SY1695 @ SY1696 @ SY1697 @ SY1698 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SY1691 @ SY1692 @ SY1693 @ SY1694 @ SY1695 @ SY1696 @ SY1697 @ SY1698 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(267,plain,
! [SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY1699: $i,SY1700: $i,SY1701: $i,SY1702: $i,SY1703: $i,SY1704: $i,SY1705: $i,SY1706: $i,SY1707: $i,SY1708: $i,SY1709: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SY1699 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1705 @ ( e1 @ SY1706 @ SY1707 ) @ ( e2 @ SY1708 @ SY1709 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SY1699 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1705 @ ( e1 @ SY1708 @ SY1709 ) @ ( e2 @ SY1706 @ SY1707 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(268,plain,
! [SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY1710: $i,SY1711: $i,SY1712: $i,SY1713: $i,SY1714: $i,SY1715: $i,SY1716: $i,SY1717: $i] :
( ( state @ SV43 @ SV86 @ SV129 @ SY1710 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SY1711 @ SY1712 @ SY1713 @ SY1714 @ SY1715 @ SY1716 @ SY1717 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(269,plain,
! [SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY1718: $i,SY1719: $i,SY1720: $i,SY1721: $i,SY1722: $i,SY1723: $i,SY1724: $i,SY1725: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SY1718 @ SY1719 @ ( s1 @ SY1720 @ SY1721 ) @ SY1722 @ SY1723 @ SY1724 @ ( e1 @ SY1720 @ ( s @ SY1721 ) ) @ SY1725 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SY1718 @ SY1719 @ ( s1 @ SY1720 @ ( s @ SY1721 ) ) @ SY1722 @ SY1723 @ SY1724 @ ( e1 @ SY1720 @ SY1721 ) @ SY1725 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(270,plain,
! [SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY1726: $i,SY1727: $i,SY1728: $i,SY1729: $i,SY1730: $i,SY1731: $i,SY1732: $i,SY1733: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SY1726 @ SY1727 @ ( s1 @ SY1728 @ ( s @ SY1729 ) ) @ SY1730 @ SY1731 @ SY1732 @ ( e1 @ SY1728 @ SY1729 ) @ SY1733 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SY1726 @ SY1727 @ ( s1 @ SY1728 @ SY1729 ) @ SY1730 @ SY1731 @ SY1732 @ ( e1 @ SY1728 @ ( s @ SY1729 ) ) @ SY1733 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(271,plain,
! [SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY1734: $i,SY1735: $i,SY1736: $i,SY1737: $i,SY1738: $i,SY1739: $i,SY1740: $i,SY1741: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SY1734 @ SY1735 @ ( s1 @ SY1736 @ SY1737 ) @ SY1738 @ SY1739 @ SY1740 @ ( e1 @ ( s @ SY1736 ) @ SY1737 ) @ SY1741 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SY1734 @ SY1735 @ ( s1 @ ( s @ SY1736 ) @ SY1737 ) @ SY1738 @ SY1739 @ SY1740 @ ( e1 @ SY1736 @ SY1737 ) @ SY1741 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(272,plain,
! [SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY1742: $i,SY1743: $i,SY1744: $i,SY1745: $i,SY1746: $i,SY1747: $i,SY1748: $i,SY1749: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SY1742 @ SY1743 @ ( s1 @ ( s @ SY1744 ) @ SY1745 ) @ SY1746 @ SY1747 @ SY1748 @ ( e1 @ SY1744 @ SY1745 ) @ SY1749 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SY1742 @ SY1743 @ ( s1 @ SY1744 @ SY1745 ) @ SY1746 @ SY1747 @ SY1748 @ ( e1 @ ( s @ SY1744 ) @ SY1745 ) @ SY1749 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(273,plain,
! [SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY1750: $i,SY1751: $i,SY1752: $i,SY1753: $i,SY1754: $i,SY1755: $i,SY1756: $i,SY1757: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SY1750 @ SY1751 @ SY1752 @ ( s2 @ SY1753 @ SY1754 ) @ SY1755 @ SY1756 @ ( e1 @ SY1753 @ ( s @ SY1754 ) ) @ SY1757 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SY1750 @ SY1751 @ SY1752 @ ( s2 @ SY1753 @ ( s @ SY1754 ) ) @ SY1755 @ SY1756 @ ( e1 @ SY1753 @ SY1754 ) @ SY1757 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(274,plain,
! [SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY1758: $i,SY1759: $i,SY1760: $i,SY1761: $i,SY1762: $i,SY1763: $i,SY1764: $i,SY1765: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SY1758 @ SY1759 @ SY1760 @ ( s2 @ SY1761 @ ( s @ SY1762 ) ) @ SY1763 @ SY1764 @ ( e1 @ SY1761 @ SY1762 ) @ SY1765 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SY1758 @ SY1759 @ SY1760 @ ( s2 @ SY1761 @ SY1762 ) @ SY1763 @ SY1764 @ ( e1 @ SY1761 @ ( s @ SY1762 ) ) @ SY1765 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(275,plain,
! [SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY1766: $i,SY1767: $i,SY1768: $i,SY1769: $i,SY1770: $i,SY1771: $i,SY1772: $i,SY1773: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SY1766 @ SY1767 @ SY1768 @ ( s2 @ SY1769 @ SY1770 ) @ SY1771 @ SY1772 @ ( e1 @ ( s @ SY1769 ) @ SY1770 ) @ SY1773 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SY1766 @ SY1767 @ SY1768 @ ( s2 @ ( s @ SY1769 ) @ SY1770 ) @ SY1771 @ SY1772 @ ( e1 @ SY1769 @ SY1770 ) @ SY1773 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(276,plain,
! [SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY1774: $i,SY1775: $i,SY1776: $i,SY1777: $i,SY1778: $i,SY1779: $i,SY1780: $i,SY1781: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SY1774 @ SY1775 @ SY1776 @ ( s2 @ ( s @ SY1777 ) @ SY1778 ) @ SY1779 @ SY1780 @ ( e1 @ SY1777 @ SY1778 ) @ SY1781 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SY1774 @ SY1775 @ SY1776 @ ( s2 @ SY1777 @ SY1778 ) @ SY1779 @ SY1780 @ ( e1 @ ( s @ SY1777 ) @ SY1778 ) @ SY1781 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(277,plain,
! [SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY1782: $i,SY1783: $i,SY1784: $i,SY1785: $i,SY1786: $i,SY1787: $i,SY1788: $i,SY1789: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SY1782 @ SY1783 @ SY1784 @ SY1785 @ ( s3 @ SY1786 @ SY1787 ) @ SY1788 @ ( e1 @ SY1786 @ ( s @ SY1787 ) ) @ SY1789 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SY1782 @ SY1783 @ SY1784 @ SY1785 @ ( s3 @ SY1786 @ ( s @ SY1787 ) ) @ SY1788 @ ( e1 @ SY1786 @ SY1787 ) @ SY1789 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(278,plain,
! [SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY1790: $i,SY1791: $i,SY1792: $i,SY1793: $i,SY1794: $i,SY1795: $i,SY1796: $i,SY1797: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SY1790 @ SY1791 @ SY1792 @ SY1793 @ ( s3 @ SY1794 @ ( s @ SY1795 ) ) @ SY1796 @ ( e1 @ SY1794 @ SY1795 ) @ SY1797 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SY1790 @ SY1791 @ SY1792 @ SY1793 @ ( s3 @ SY1794 @ SY1795 ) @ SY1796 @ ( e1 @ SY1794 @ ( s @ SY1795 ) ) @ SY1797 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(279,plain,
! [SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY1798: $i,SY1799: $i,SY1800: $i,SY1801: $i,SY1802: $i,SY1803: $i,SY1804: $i,SY1805: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SY1798 @ SY1799 @ SY1800 @ SY1801 @ ( s3 @ SY1802 @ SY1803 ) @ SY1804 @ ( e1 @ ( s @ SY1802 ) @ SY1803 ) @ SY1805 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SY1798 @ SY1799 @ SY1800 @ SY1801 @ ( s3 @ ( s @ SY1802 ) @ SY1803 ) @ SY1804 @ ( e1 @ SY1802 @ SY1803 ) @ SY1805 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(280,plain,
! [SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY1806: $i,SY1807: $i,SY1808: $i,SY1809: $i,SY1810: $i,SY1811: $i,SY1812: $i,SY1813: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SY1806 @ SY1807 @ SY1808 @ SY1809 @ ( s3 @ ( s @ SY1810 ) @ SY1811 ) @ SY1812 @ ( e1 @ SY1810 @ SY1811 ) @ SY1813 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SY1806 @ SY1807 @ SY1808 @ SY1809 @ ( s3 @ SY1810 @ SY1811 ) @ SY1812 @ ( e1 @ ( s @ SY1810 ) @ SY1811 ) @ SY1813 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(281,plain,
! [SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY1814: $i,SY1815: $i,SY1816: $i,SY1817: $i,SY1818: $i,SY1819: $i,SY1820: $i,SY1821: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SY1814 @ SY1815 @ SY1816 @ SY1817 @ SY1818 @ ( s4 @ SY1819 @ SY1820 ) @ ( e1 @ SY1819 @ ( s @ SY1820 ) ) @ SY1821 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SY1814 @ SY1815 @ SY1816 @ SY1817 @ SY1818 @ ( s4 @ SY1819 @ ( s @ SY1820 ) ) @ ( e1 @ SY1819 @ SY1820 ) @ SY1821 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(282,plain,
! [SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY1822: $i,SY1823: $i,SY1824: $i,SY1825: $i,SY1826: $i,SY1827: $i,SY1828: $i,SY1829: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SY1822 @ SY1823 @ SY1824 @ SY1825 @ SY1826 @ ( s4 @ SY1827 @ ( s @ SY1828 ) ) @ ( e1 @ SY1827 @ SY1828 ) @ SY1829 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SY1822 @ SY1823 @ SY1824 @ SY1825 @ SY1826 @ ( s4 @ SY1827 @ SY1828 ) @ ( e1 @ SY1827 @ ( s @ SY1828 ) ) @ SY1829 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(283,plain,
! [SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY1830: $i,SY1831: $i,SY1832: $i,SY1833: $i,SY1834: $i,SY1835: $i,SY1836: $i,SY1837: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SY1830 @ SY1831 @ SY1832 @ SY1833 @ SY1834 @ ( s4 @ SY1835 @ SY1836 ) @ ( e1 @ ( s @ SY1835 ) @ SY1836 ) @ SY1837 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SY1830 @ SY1831 @ SY1832 @ SY1833 @ SY1834 @ ( s4 @ ( s @ SY1835 ) @ SY1836 ) @ ( e1 @ SY1835 @ SY1836 ) @ SY1837 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(284,plain,
! [SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY1838: $i,SY1839: $i,SY1840: $i,SY1841: $i,SY1842: $i,SY1843: $i,SY1844: $i,SY1845: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SY1838 @ SY1839 @ SY1840 @ SY1841 @ SY1842 @ ( s4 @ ( s @ SY1843 ) @ SY1844 ) @ ( e1 @ SY1843 @ SY1844 ) @ SY1845 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SY1838 @ SY1839 @ SY1840 @ SY1841 @ SY1842 @ ( s4 @ SY1843 @ SY1844 ) @ ( e1 @ ( s @ SY1843 ) @ SY1844 ) @ SY1845 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(285,plain,
! [SV146: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY1846: $i,SY1847: $i,SY1848: $i,SY1849: $i,SY1850: $i,SY1851: $i,SY1852: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SV146 @ SY1846 @ SY1847 @ SY1848 @ SY1849 @ SY1850 @ SY1851 @ SY1852 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SV146 @ SY1846 @ SY1847 @ SY1848 @ SY1849 @ SY1850 @ SY1851 @ SY1852 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(286,plain,
! [SV147: $i,SV105: $i,SV62: $i,SV19: $i] :
( ( ! [SY1853: $i,SY1854: $i,SY1855: $i,SY1856: $i,SY1857: $i,SY1858: $i,SY1859: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SV147 @ SY1853 @ SY1854 @ SY1855 @ SY1856 @ SY1857 @ SY1858 @ SY1859 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SV147 @ SY1853 @ SY1854 @ SY1855 @ SY1856 @ SY1857 @ SY1858 @ SY1859 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(287,plain,
! [SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY1860: $i,SY1861: $i,SY1862: $i,SY1863: $i,SY1864: $i,SY1865: $i,SY1866: $i,SY1867: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SY1860 @ SY1861 @ SY1862 @ SY1863 @ SY1864 @ SY1865 @ SY1866 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY1867 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SY1860 @ SY1861 @ SY1862 @ SY1863 @ SY1864 @ SY1865 @ SY1866 @ ( e1 @ SV63 @ SV106 ) @ SY1867 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(288,plain,
! [SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY1868: $i,SY1869: $i,SY1870: $i,SY1871: $i,SY1872: $i,SY1873: $i,SY1874: $i,SY1875: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SY1868 @ SY1869 @ SY1870 @ SY1871 @ SY1872 @ SY1873 @ SY1874 @ ( e1 @ SV64 @ SV107 ) @ SY1875 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SY1868 @ SY1869 @ SY1870 @ SY1871 @ SY1872 @ SY1873 @ SY1874 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY1875 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(289,plain,
! [SV150: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY1876: $i,SY1877: $i,SY1878: $i,SY1879: $i,SY1880: $i,SY1881: $i,SY1882: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SV150 ) @ SY1876 @ SY1877 @ SY1878 @ SY1879 @ SY1880 @ SY1881 @ SY1882 @ ( e1 @ SV108 @ ( s @ SV150 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SV150 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SV150 ) ) @ SY1876 @ SY1877 @ SY1878 @ SY1879 @ SY1880 @ SY1881 @ SY1882 @ ( e1 @ SV108 @ SV150 ) @ ( e2 @ ( s @ SV108 ) @ SV150 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(290,plain,
! [SV151: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY1883: $i,SY1884: $i,SY1885: $i,SY1886: $i,SY1887: $i,SY1888: $i,SY1889: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SV151 ) ) @ SY1883 @ SY1884 @ SY1885 @ SY1886 @ SY1887 @ SY1888 @ SY1889 @ ( e1 @ SV109 @ SV151 ) @ ( e2 @ ( s @ SV109 ) @ SV151 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SV151 ) @ SY1883 @ SY1884 @ SY1885 @ SY1886 @ SY1887 @ SY1888 @ SY1889 @ ( e1 @ SV109 @ ( s @ SV151 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SV151 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(291,plain,
! [SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY1890: $i,SY1891: $i,SY1892: $i,SY1893: $i,SY1894: $i,SY1895: $i,SY1896: $i,SY1897: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SY1890 @ SY1891 @ SY1892 @ SY1893 @ SY1894 @ SY1895 @ SY1896 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SY1897 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SY1890 @ SY1891 @ SY1892 @ SY1893 @ SY1894 @ SY1895 @ SY1896 @ ( e1 @ SV110 @ SV152 ) @ SY1897 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(292,plain,
! [SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY1898: $i,SY1899: $i,SY1900: $i,SY1901: $i,SY1902: $i,SY1903: $i,SY1904: $i,SY1905: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SY1898 @ SY1899 @ SY1900 @ SY1901 @ SY1902 @ SY1903 @ SY1904 @ ( e1 @ SV111 @ SV153 ) @ SY1905 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SY1898 @ SY1899 @ SY1900 @ SY1901 @ SY1902 @ SY1903 @ SY1904 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SY1905 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(293,plain,
! [SV154: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY1906: $i,SY1907: $i,SY1908: $i,SY1909: $i,SY1910: $i,SY1911: $i,SY1912: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ SY1906 ) @ SY1907 @ SY1908 @ SY1909 @ SY1910 @ SY1911 @ SY1912 @ ( e1 @ SV154 @ ( s @ SY1906 ) ) @ ( e2 @ ( s @ SV154 ) @ ( s @ SY1906 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ ( s @ SY1906 ) ) @ SY1907 @ SY1908 @ SY1909 @ SY1910 @ SY1911 @ SY1912 @ ( e1 @ SV154 @ SY1906 ) @ ( e2 @ ( s @ SV154 ) @ SY1906 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(294,plain,
! [SV155: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY1913: $i,SY1914: $i,SY1915: $i,SY1916: $i,SY1917: $i,SY1918: $i,SY1919: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ ( s @ SY1913 ) ) @ SY1914 @ SY1915 @ SY1916 @ SY1917 @ SY1918 @ SY1919 @ ( e1 @ SV155 @ SY1913 ) @ ( e2 @ ( s @ SV155 ) @ SY1913 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ SY1913 ) @ SY1914 @ SY1915 @ SY1916 @ SY1917 @ SY1918 @ SY1919 @ ( e1 @ SV155 @ ( s @ SY1913 ) ) @ ( e2 @ ( s @ SV155 ) @ ( s @ SY1913 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(295,plain,
! [SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY1920: $i,SY1921: $i,SY1922: $i,SY1923: $i,SY1924: $i,SY1925: $i,SY1926: $i,SY1927: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SY1920 ) @ SY1921 @ SY1922 @ SY1923 @ SY1924 @ SY1925 @ SY1926 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SY1920 ) @ SY1927 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SY1920 ) @ SY1921 @ SY1922 @ SY1923 @ SY1924 @ SY1925 @ SY1926 @ ( e1 @ SV156 @ SY1920 ) @ SY1927 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(296,plain,
! [SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY1928: $i,SY1929: $i,SY1930: $i,SY1931: $i,SY1932: $i,SY1933: $i,SY1934: $i,SY1935: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SY1928 ) @ SY1929 @ SY1930 @ SY1931 @ SY1932 @ SY1933 @ SY1934 @ ( e1 @ SV157 @ SY1928 ) @ SY1935 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SY1928 ) @ SY1929 @ SY1930 @ SY1931 @ SY1932 @ SY1933 @ SY1934 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SY1928 ) @ SY1935 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(297,plain,
! [SV158: $i,SV116: $i,SV73: $i,SV30: $i] :
( ( ! [SY1936: $i,SY1937: $i,SY1938: $i,SY1939: $i,SY1940: $i,SY1941: $i,SY1942: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SY1936 @ SY1937 ) @ SY1938 @ SY1939 @ SY1940 @ SY1941 @ SY1942 @ ( e1 @ SY1936 @ ( s @ SY1937 ) ) @ ( e2 @ ( s @ SY1936 ) @ ( s @ SY1937 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SY1936 @ ( s @ SY1937 ) ) @ SY1938 @ SY1939 @ SY1940 @ SY1941 @ SY1942 @ ( e1 @ SY1936 @ SY1937 ) @ ( e2 @ ( s @ SY1936 ) @ SY1937 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(298,plain,
! [SV159: $i,SV117: $i,SV74: $i,SV31: $i] :
( ( ! [SY1943: $i,SY1944: $i,SY1945: $i,SY1946: $i,SY1947: $i,SY1948: $i,SY1949: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SY1943 @ ( s @ SY1944 ) ) @ SY1945 @ SY1946 @ SY1947 @ SY1948 @ SY1949 @ ( e1 @ SY1943 @ SY1944 ) @ ( e2 @ ( s @ SY1943 ) @ SY1944 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SY1943 @ SY1944 ) @ SY1945 @ SY1946 @ SY1947 @ SY1948 @ SY1949 @ ( e1 @ SY1943 @ ( s @ SY1944 ) ) @ ( e2 @ ( s @ SY1943 ) @ ( s @ SY1944 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(299,plain,
! [SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY1950: $i,SY1951: $i,SY1952: $i,SY1953: $i,SY1954: $i,SY1955: $i,SY1956: $i,SY1957: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SY1950 @ SY1951 ) @ SY1952 @ SY1953 @ SY1954 @ SY1955 @ SY1956 @ ( e1 @ ( s @ ( s @ SY1950 ) ) @ SY1951 ) @ SY1957 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SY1950 ) @ SY1951 ) @ SY1952 @ SY1953 @ SY1954 @ SY1955 @ SY1956 @ ( e1 @ SY1950 @ SY1951 ) @ SY1957 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(300,plain,
! [SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY1958: $i,SY1959: $i,SY1960: $i,SY1961: $i,SY1962: $i,SY1963: $i,SY1964: $i,SY1965: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SY1958 ) @ SY1959 ) @ SY1960 @ SY1961 @ SY1962 @ SY1963 @ SY1964 @ ( e1 @ SY1958 @ SY1959 ) @ SY1965 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SY1958 @ SY1959 ) @ SY1960 @ SY1961 @ SY1962 @ SY1963 @ SY1964 @ ( e1 @ ( s @ ( s @ SY1958 ) ) @ SY1959 ) @ SY1965 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(301,plain,
! [SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY1966: $i,SY1967: $i,SY1968: $i,SY1969: $i,SY1970: $i,SY1971: $i,SY1972: $i,SY1973: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SY1966 @ ( h @ SY1967 @ SY1968 ) @ SY1969 @ SY1970 @ SY1971 @ SY1972 @ ( e1 @ SY1967 @ ( s @ ( s @ SY1968 ) ) ) @ SY1973 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SY1966 @ ( h @ SY1967 @ ( s @ SY1968 ) ) @ SY1969 @ SY1970 @ SY1971 @ SY1972 @ ( e1 @ SY1967 @ SY1968 ) @ SY1973 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(302,plain,
! [SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY1974: $i,SY1975: $i,SY1976: $i,SY1977: $i,SY1978: $i,SY1979: $i,SY1980: $i,SY1981: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SY1974 @ ( h @ SY1975 @ ( s @ SY1976 ) ) @ SY1977 @ SY1978 @ SY1979 @ SY1980 @ ( e1 @ SY1975 @ SY1976 ) @ SY1981 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SY1974 @ ( h @ SY1975 @ SY1976 ) @ SY1977 @ SY1978 @ SY1979 @ SY1980 @ ( e1 @ SY1975 @ ( s @ ( s @ SY1976 ) ) ) @ SY1981 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(303,plain,
! [SV164: $i,SV122: $i,SV79: $i,SV36: $i] :
( ( ! [SY1982: $i,SY1983: $i,SY1984: $i,SY1985: $i,SY1986: $i,SY1987: $i,SY1988: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SY1982 @ ( h @ SY1983 @ SY1984 ) @ SY1985 @ SY1986 @ SY1987 @ SY1988 @ ( e1 @ ( s @ SY1983 ) @ SY1984 ) @ ( e2 @ ( s @ SY1983 ) @ ( s @ SY1984 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SY1982 @ ( h @ ( s @ SY1983 ) @ SY1984 ) @ SY1985 @ SY1986 @ SY1987 @ SY1988 @ ( e1 @ SY1983 @ SY1984 ) @ ( e2 @ SY1983 @ ( s @ SY1984 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(304,plain,
! [SV165: $i,SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY1989: $i,SY1990: $i,SY1991: $i,SY1992: $i,SY1993: $i,SY1994: $i,SY1995: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SY1989 @ ( h @ ( s @ SY1990 ) @ SY1991 ) @ SY1992 @ SY1993 @ SY1994 @ SY1995 @ ( e1 @ SY1990 @ SY1991 ) @ ( e2 @ SY1990 @ ( s @ SY1991 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SY1989 @ ( h @ SY1990 @ SY1991 ) @ SY1992 @ SY1993 @ SY1994 @ SY1995 @ ( e1 @ ( s @ SY1990 ) @ SY1991 ) @ ( e2 @ ( s @ SY1990 ) @ ( s @ SY1991 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(305,plain,
! [SV166: $i,SV124: $i,SV81: $i,SV38: $i] :
( ( ! [SY1996: $i,SY1997: $i,SY1998: $i,SY1999: $i,SY2000: $i,SY2001: $i,SY2002: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SV166 @ SY1996 @ SY1997 @ SY1998 @ SY1999 @ SY2000 @ SY2001 @ SY2002 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SV166 @ SY1996 @ SY1997 @ SY1998 @ SY1999 @ SY2000 @ SY2001 @ SY2002 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(306,plain,
! [SV167: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY2003: $i,SY2004: $i,SY2005: $i,SY2006: $i,SY2007: $i,SY2008: $i,SY2009: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SV167 @ SY2003 @ SY2004 @ SY2005 @ SY2006 @ SY2007 @ SY2008 @ SY2009 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SV167 @ SY2003 @ SY2004 @ SY2005 @ SY2006 @ SY2007 @ SY2008 @ SY2009 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(307,plain,
! [SV168: $i,SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY2010: $i,SY2011: $i,SY2012: $i,SY2013: $i,SY2014: $i,SY2015: $i,SY2016: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SV168 @ SY2010 @ SY2011 @ SY2012 @ SY2013 @ SY2014 @ SY2015 @ SY2016 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SV168 @ SY2010 @ SY2011 @ SY2012 @ SY2013 @ SY2014 @ SY2015 @ SY2016 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(308,plain,
! [SV169: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY2017: $i,SY2018: $i,SY2019: $i,SY2020: $i,SY2021: $i,SY2022: $i,SY2023: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SV169 @ SY2017 @ SY2018 @ SY2019 @ SY2020 @ SY2021 @ SY2022 @ SY2023 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SV169 @ SY2017 @ SY2018 @ SY2019 @ SY2020 @ SY2021 @ SY2022 @ SY2023 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(309,plain,
! [SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY2024: $i,SY2025: $i,SY2026: $i,SY2027: $i,SY2028: $i,SY2029: $i,SY2030: $i,SY2031: $i,SY2032: $i,SY2033: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SY2024 @ SY2025 @ SY2026 @ SY2027 @ SY2028 @ SY2029 @ ( e1 @ SY2030 @ SY2031 ) @ ( e2 @ SY2032 @ SY2033 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SY2024 @ SY2025 @ SY2026 @ SY2027 @ SY2028 @ SY2029 @ ( e1 @ SY2032 @ SY2033 ) @ ( e2 @ SY2030 @ SY2031 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(310,plain,
! [SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY2034: $i,SY2035: $i,SY2036: $i,SY2037: $i,SY2038: $i,SY2039: $i,SY2040: $i] :
( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SY2034 @ SY2035 @ SY2036 @ SY2037 @ SY2038 @ SY2039 @ SY2040 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(311,plain,
! [SV172: $i,SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY2041: $i,SY2042: $i,SY2043: $i,SY2044: $i,SY2045: $i,SY2046: $i,SY2047: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SY2041 @ ( s1 @ SY2042 @ SY2043 ) @ SY2044 @ SY2045 @ SY2046 @ ( e1 @ SY2042 @ ( s @ SY2043 ) ) @ SY2047 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SY2041 @ ( s1 @ SY2042 @ ( s @ SY2043 ) ) @ SY2044 @ SY2045 @ SY2046 @ ( e1 @ SY2042 @ SY2043 ) @ SY2047 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(312,plain,
! [SV173: $i,SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY2048: $i,SY2049: $i,SY2050: $i,SY2051: $i,SY2052: $i,SY2053: $i,SY2054: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SY2048 @ ( s1 @ SY2049 @ ( s @ SY2050 ) ) @ SY2051 @ SY2052 @ SY2053 @ ( e1 @ SY2049 @ SY2050 ) @ SY2054 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SY2048 @ ( s1 @ SY2049 @ SY2050 ) @ SY2051 @ SY2052 @ SY2053 @ ( e1 @ SY2049 @ ( s @ SY2050 ) ) @ SY2054 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(313,plain,
! [SV174: $i,SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY2055: $i,SY2056: $i,SY2057: $i,SY2058: $i,SY2059: $i,SY2060: $i,SY2061: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SY2055 @ ( s1 @ SY2056 @ SY2057 ) @ SY2058 @ SY2059 @ SY2060 @ ( e1 @ ( s @ SY2056 ) @ SY2057 ) @ SY2061 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SY2055 @ ( s1 @ ( s @ SY2056 ) @ SY2057 ) @ SY2058 @ SY2059 @ SY2060 @ ( e1 @ SY2056 @ SY2057 ) @ SY2061 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(314,plain,
! [SV175: $i,SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY2062: $i,SY2063: $i,SY2064: $i,SY2065: $i,SY2066: $i,SY2067: $i,SY2068: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SY2062 @ ( s1 @ ( s @ SY2063 ) @ SY2064 ) @ SY2065 @ SY2066 @ SY2067 @ ( e1 @ SY2063 @ SY2064 ) @ SY2068 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SY2062 @ ( s1 @ SY2063 @ SY2064 ) @ SY2065 @ SY2066 @ SY2067 @ ( e1 @ ( s @ SY2063 ) @ SY2064 ) @ SY2068 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(315,plain,
! [SV176: $i,SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY2069: $i,SY2070: $i,SY2071: $i,SY2072: $i,SY2073: $i,SY2074: $i,SY2075: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SY2069 @ SY2070 @ ( s2 @ SY2071 @ SY2072 ) @ SY2073 @ SY2074 @ ( e1 @ SY2071 @ ( s @ SY2072 ) ) @ SY2075 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SY2069 @ SY2070 @ ( s2 @ SY2071 @ ( s @ SY2072 ) ) @ SY2073 @ SY2074 @ ( e1 @ SY2071 @ SY2072 ) @ SY2075 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(316,plain,
! [SV177: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY2076: $i,SY2077: $i,SY2078: $i,SY2079: $i,SY2080: $i,SY2081: $i,SY2082: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SY2076 @ SY2077 @ ( s2 @ SY2078 @ ( s @ SY2079 ) ) @ SY2080 @ SY2081 @ ( e1 @ SY2078 @ SY2079 ) @ SY2082 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SY2076 @ SY2077 @ ( s2 @ SY2078 @ SY2079 ) @ SY2080 @ SY2081 @ ( e1 @ SY2078 @ ( s @ SY2079 ) ) @ SY2082 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(317,plain,
! [SV178: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY2083: $i,SY2084: $i,SY2085: $i,SY2086: $i,SY2087: $i,SY2088: $i,SY2089: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SY2083 @ SY2084 @ ( s2 @ SY2085 @ SY2086 ) @ SY2087 @ SY2088 @ ( e1 @ ( s @ SY2085 ) @ SY2086 ) @ SY2089 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SY2083 @ SY2084 @ ( s2 @ ( s @ SY2085 ) @ SY2086 ) @ SY2087 @ SY2088 @ ( e1 @ SY2085 @ SY2086 ) @ SY2089 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(318,plain,
! [SV179: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY2090: $i,SY2091: $i,SY2092: $i,SY2093: $i,SY2094: $i,SY2095: $i,SY2096: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SY2090 @ SY2091 @ ( s2 @ ( s @ SY2092 ) @ SY2093 ) @ SY2094 @ SY2095 @ ( e1 @ SY2092 @ SY2093 ) @ SY2096 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SY2090 @ SY2091 @ ( s2 @ SY2092 @ SY2093 ) @ SY2094 @ SY2095 @ ( e1 @ ( s @ SY2092 ) @ SY2093 ) @ SY2096 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(319,plain,
! [SV180: $i,SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY2097: $i,SY2098: $i,SY2099: $i,SY2100: $i,SY2101: $i,SY2102: $i,SY2103: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SY2097 @ SY2098 @ SY2099 @ ( s3 @ SY2100 @ SY2101 ) @ SY2102 @ ( e1 @ SY2100 @ ( s @ SY2101 ) ) @ SY2103 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SY2097 @ SY2098 @ SY2099 @ ( s3 @ SY2100 @ ( s @ SY2101 ) ) @ SY2102 @ ( e1 @ SY2100 @ SY2101 ) @ SY2103 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(320,plain,
! [SV181: $i,SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY2104: $i,SY2105: $i,SY2106: $i,SY2107: $i,SY2108: $i,SY2109: $i,SY2110: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SY2104 @ SY2105 @ SY2106 @ ( s3 @ SY2107 @ ( s @ SY2108 ) ) @ SY2109 @ ( e1 @ SY2107 @ SY2108 ) @ SY2110 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SY2104 @ SY2105 @ SY2106 @ ( s3 @ SY2107 @ SY2108 ) @ SY2109 @ ( e1 @ SY2107 @ ( s @ SY2108 ) ) @ SY2110 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(321,plain,
! [SV182: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY2111: $i,SY2112: $i,SY2113: $i,SY2114: $i,SY2115: $i,SY2116: $i,SY2117: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SY2111 @ SY2112 @ SY2113 @ ( s3 @ SY2114 @ SY2115 ) @ SY2116 @ ( e1 @ ( s @ SY2114 ) @ SY2115 ) @ SY2117 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SY2111 @ SY2112 @ SY2113 @ ( s3 @ ( s @ SY2114 ) @ SY2115 ) @ SY2116 @ ( e1 @ SY2114 @ SY2115 ) @ SY2117 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(322,plain,
! [SV183: $i,SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY2118: $i,SY2119: $i,SY2120: $i,SY2121: $i,SY2122: $i,SY2123: $i,SY2124: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SY2118 @ SY2119 @ SY2120 @ ( s3 @ ( s @ SY2121 ) @ SY2122 ) @ SY2123 @ ( e1 @ SY2121 @ SY2122 ) @ SY2124 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SY2118 @ SY2119 @ SY2120 @ ( s3 @ SY2121 @ SY2122 ) @ SY2123 @ ( e1 @ ( s @ SY2121 ) @ SY2122 ) @ SY2124 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(323,plain,
! [SV184: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY2125: $i,SY2126: $i,SY2127: $i,SY2128: $i,SY2129: $i,SY2130: $i,SY2131: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SY2125 @ SY2126 @ SY2127 @ SY2128 @ ( s4 @ SY2129 @ SY2130 ) @ ( e1 @ SY2129 @ ( s @ SY2130 ) ) @ SY2131 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SY2125 @ SY2126 @ SY2127 @ SY2128 @ ( s4 @ SY2129 @ ( s @ SY2130 ) ) @ ( e1 @ SY2129 @ SY2130 ) @ SY2131 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(324,plain,
! [SV185: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY2132: $i,SY2133: $i,SY2134: $i,SY2135: $i,SY2136: $i,SY2137: $i,SY2138: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SY2132 @ SY2133 @ SY2134 @ SY2135 @ ( s4 @ SY2136 @ ( s @ SY2137 ) ) @ ( e1 @ SY2136 @ SY2137 ) @ SY2138 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SY2132 @ SY2133 @ SY2134 @ SY2135 @ ( s4 @ SY2136 @ SY2137 ) @ ( e1 @ SY2136 @ ( s @ SY2137 ) ) @ SY2138 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(325,plain,
! [SV186: $i,SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY2139: $i,SY2140: $i,SY2141: $i,SY2142: $i,SY2143: $i,SY2144: $i,SY2145: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SY2139 @ SY2140 @ SY2141 @ SY2142 @ ( s4 @ SY2143 @ SY2144 ) @ ( e1 @ ( s @ SY2143 ) @ SY2144 ) @ SY2145 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SY2139 @ SY2140 @ SY2141 @ SY2142 @ ( s4 @ ( s @ SY2143 ) @ SY2144 ) @ ( e1 @ SY2143 @ SY2144 ) @ SY2145 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(326,plain,
! [SV187: $i,SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY2146: $i,SY2147: $i,SY2148: $i,SY2149: $i,SY2150: $i,SY2151: $i,SY2152: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SY2146 @ SY2147 @ SY2148 @ SY2149 @ ( s4 @ ( s @ SY2150 ) @ SY2151 ) @ ( e1 @ SY2150 @ SY2151 ) @ SY2152 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SY2146 @ SY2147 @ SY2148 @ SY2149 @ ( s4 @ SY2150 @ SY2151 ) @ ( e1 @ ( s @ SY2150 ) @ SY2151 ) @ SY2152 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(327,plain,
! [SV188: $i,SV146: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY2153: $i,SY2154: $i,SY2155: $i,SY2156: $i,SY2157: $i,SY2158: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SV146 @ SV188 @ SY2153 @ SY2154 @ SY2155 @ SY2156 @ SY2157 @ SY2158 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SV146 @ SV188 @ SY2153 @ SY2154 @ SY2155 @ SY2156 @ SY2157 @ SY2158 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(328,plain,
! [SV189: $i,SV147: $i,SV105: $i,SV62: $i,SV19: $i] :
( ( ! [SY2159: $i,SY2160: $i,SY2161: $i,SY2162: $i,SY2163: $i,SY2164: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SV147 @ SV189 @ SY2159 @ SY2160 @ SY2161 @ SY2162 @ SY2163 @ SY2164 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SV147 @ SV189 @ SY2159 @ SY2160 @ SY2161 @ SY2162 @ SY2163 @ SY2164 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(329,plain,
! [SV190: $i,SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY2165: $i,SY2166: $i,SY2167: $i,SY2168: $i,SY2169: $i,SY2170: $i,SY2171: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SV190 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2169 @ SY2170 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY2171 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SV190 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2169 @ SY2170 @ ( e1 @ SV63 @ SV106 ) @ SY2171 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(330,plain,
! [SV191: $i,SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY2172: $i,SY2173: $i,SY2174: $i,SY2175: $i,SY2176: $i,SY2177: $i,SY2178: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SV191 @ SY2172 @ SY2173 @ SY2174 @ SY2175 @ SY2176 @ SY2177 @ ( e1 @ SV64 @ SV107 ) @ SY2178 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SV191 @ SY2172 @ SY2173 @ SY2174 @ SY2175 @ SY2176 @ SY2177 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY2178 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(331,plain,
! [SV192: $i,SV150: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY2179: $i,SY2180: $i,SY2181: $i,SY2182: $i,SY2183: $i,SY2184: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SY2179 @ SY2180 @ SY2181 @ SY2182 @ SY2183 @ SY2184 @ ( e1 @ SV108 @ ( s @ SV150 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SV150 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SV150 ) ) @ SV192 @ SY2179 @ SY2180 @ SY2181 @ SY2182 @ SY2183 @ SY2184 @ ( e1 @ SV108 @ SV150 ) @ ( e2 @ ( s @ SV108 ) @ SV150 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(332,plain,
! [SV193: $i,SV151: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY2185: $i,SY2186: $i,SY2187: $i,SY2188: $i,SY2189: $i,SY2190: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SV151 ) ) @ SV193 @ SY2185 @ SY2186 @ SY2187 @ SY2188 @ SY2189 @ SY2190 @ ( e1 @ SV109 @ SV151 ) @ ( e2 @ ( s @ SV109 ) @ SV151 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SY2185 @ SY2186 @ SY2187 @ SY2188 @ SY2189 @ SY2190 @ ( e1 @ SV109 @ ( s @ SV151 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SV151 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(333,plain,
! [SV194: $i,SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY2191: $i,SY2192: $i,SY2193: $i,SY2194: $i,SY2195: $i,SY2196: $i,SY2197: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SV194 @ SY2191 @ SY2192 @ SY2193 @ SY2194 @ SY2195 @ SY2196 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SY2197 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SV194 @ SY2191 @ SY2192 @ SY2193 @ SY2194 @ SY2195 @ SY2196 @ ( e1 @ SV110 @ SV152 ) @ SY2197 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(334,plain,
! [SV195: $i,SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY2198: $i,SY2199: $i,SY2200: $i,SY2201: $i,SY2202: $i,SY2203: $i,SY2204: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SV195 @ SY2198 @ SY2199 @ SY2200 @ SY2201 @ SY2202 @ SY2203 @ ( e1 @ SV111 @ SV153 ) @ SY2204 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SV195 @ SY2198 @ SY2199 @ SY2200 @ SY2201 @ SY2202 @ SY2203 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SY2204 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(335,plain,
! [SV196: $i,SV154: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY2205: $i,SY2206: $i,SY2207: $i,SY2208: $i,SY2209: $i,SY2210: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SY2205 @ SY2206 @ SY2207 @ SY2208 @ SY2209 @ SY2210 @ ( e1 @ SV154 @ ( s @ SV196 ) ) @ ( e2 @ ( s @ SV154 ) @ ( s @ SV196 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ ( s @ SV196 ) ) @ SY2205 @ SY2206 @ SY2207 @ SY2208 @ SY2209 @ SY2210 @ ( e1 @ SV154 @ SV196 ) @ ( e2 @ ( s @ SV154 ) @ SV196 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(336,plain,
! [SV197: $i,SV155: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY2211: $i,SY2212: $i,SY2213: $i,SY2214: $i,SY2215: $i,SY2216: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ ( s @ SV197 ) ) @ SY2211 @ SY2212 @ SY2213 @ SY2214 @ SY2215 @ SY2216 @ ( e1 @ SV155 @ SV197 ) @ ( e2 @ ( s @ SV155 ) @ SV197 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SY2211 @ SY2212 @ SY2213 @ SY2214 @ SY2215 @ SY2216 @ ( e1 @ SV155 @ ( s @ SV197 ) ) @ ( e2 @ ( s @ SV155 ) @ ( s @ SV197 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(337,plain,
! [SV198: $i,SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY2217: $i,SY2218: $i,SY2219: $i,SY2220: $i,SY2221: $i,SY2222: $i,SY2223: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SV198 ) @ SY2217 @ SY2218 @ SY2219 @ SY2220 @ SY2221 @ SY2222 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SV198 ) @ SY2223 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SV198 ) @ SY2217 @ SY2218 @ SY2219 @ SY2220 @ SY2221 @ SY2222 @ ( e1 @ SV156 @ SV198 ) @ SY2223 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(338,plain,
! [SV199: $i,SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY2224: $i,SY2225: $i,SY2226: $i,SY2227: $i,SY2228: $i,SY2229: $i,SY2230: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SV199 ) @ SY2224 @ SY2225 @ SY2226 @ SY2227 @ SY2228 @ SY2229 @ ( e1 @ SV157 @ SV199 ) @ SY2230 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SV199 ) @ SY2224 @ SY2225 @ SY2226 @ SY2227 @ SY2228 @ SY2229 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SV199 ) @ SY2230 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(339,plain,
! [SV200: $i,SV158: $i,SV116: $i,SV73: $i,SV30: $i] :
( ( ! [SY2231: $i,SY2232: $i,SY2233: $i,SY2234: $i,SY2235: $i,SY2236: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ SY2231 ) @ SY2232 @ SY2233 @ SY2234 @ SY2235 @ SY2236 @ ( e1 @ SV200 @ ( s @ SY2231 ) ) @ ( e2 @ ( s @ SV200 ) @ ( s @ SY2231 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ ( s @ SY2231 ) ) @ SY2232 @ SY2233 @ SY2234 @ SY2235 @ SY2236 @ ( e1 @ SV200 @ SY2231 ) @ ( e2 @ ( s @ SV200 ) @ SY2231 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(340,plain,
! [SV201: $i,SV159: $i,SV117: $i,SV74: $i,SV31: $i] :
( ( ! [SY2237: $i,SY2238: $i,SY2239: $i,SY2240: $i,SY2241: $i,SY2242: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ ( s @ SY2237 ) ) @ SY2238 @ SY2239 @ SY2240 @ SY2241 @ SY2242 @ ( e1 @ SV201 @ SY2237 ) @ ( e2 @ ( s @ SV201 ) @ SY2237 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ SY2237 ) @ SY2238 @ SY2239 @ SY2240 @ SY2241 @ SY2242 @ ( e1 @ SV201 @ ( s @ SY2237 ) ) @ ( e2 @ ( s @ SV201 ) @ ( s @ SY2237 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(341,plain,
! [SV202: $i,SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY2243: $i,SY2244: $i,SY2245: $i,SY2246: $i,SY2247: $i,SY2248: $i,SY2249: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SV202 @ SY2243 ) @ SY2244 @ SY2245 @ SY2246 @ SY2247 @ SY2248 @ ( e1 @ ( s @ ( s @ SV202 ) ) @ SY2243 ) @ SY2249 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SV202 ) @ SY2243 ) @ SY2244 @ SY2245 @ SY2246 @ SY2247 @ SY2248 @ ( e1 @ SV202 @ SY2243 ) @ SY2249 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(342,plain,
! [SV203: $i,SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY2250: $i,SY2251: $i,SY2252: $i,SY2253: $i,SY2254: $i,SY2255: $i,SY2256: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SV203 ) @ SY2250 ) @ SY2251 @ SY2252 @ SY2253 @ SY2254 @ SY2255 @ ( e1 @ SV203 @ SY2250 ) @ SY2256 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SV203 @ SY2250 ) @ SY2251 @ SY2252 @ SY2253 @ SY2254 @ SY2255 @ ( e1 @ ( s @ ( s @ SV203 ) ) @ SY2250 ) @ SY2256 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(343,plain,
! [SV204: $i,SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY2257: $i,SY2258: $i,SY2259: $i,SY2260: $i,SY2261: $i,SY2262: $i,SY2263: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SY2257 @ SY2258 ) @ SY2259 @ SY2260 @ SY2261 @ SY2262 @ ( e1 @ SY2257 @ ( s @ ( s @ SY2258 ) ) ) @ SY2263 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SY2257 @ ( s @ SY2258 ) ) @ SY2259 @ SY2260 @ SY2261 @ SY2262 @ ( e1 @ SY2257 @ SY2258 ) @ SY2263 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(344,plain,
! [SV205: $i,SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY2264: $i,SY2265: $i,SY2266: $i,SY2267: $i,SY2268: $i,SY2269: $i,SY2270: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SY2264 @ ( s @ SY2265 ) ) @ SY2266 @ SY2267 @ SY2268 @ SY2269 @ ( e1 @ SY2264 @ SY2265 ) @ SY2270 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SY2264 @ SY2265 ) @ SY2266 @ SY2267 @ SY2268 @ SY2269 @ ( e1 @ SY2264 @ ( s @ ( s @ SY2265 ) ) ) @ SY2270 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(345,plain,
! [SV206: $i,SV164: $i,SV122: $i,SV79: $i,SV36: $i] :
( ( ! [SY2271: $i,SY2272: $i,SY2273: $i,SY2274: $i,SY2275: $i,SY2276: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ SY2271 @ SY2272 ) @ SY2273 @ SY2274 @ SY2275 @ SY2276 @ ( e1 @ ( s @ SY2271 ) @ SY2272 ) @ ( e2 @ ( s @ SY2271 ) @ ( s @ SY2272 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ ( s @ SY2271 ) @ SY2272 ) @ SY2273 @ SY2274 @ SY2275 @ SY2276 @ ( e1 @ SY2271 @ SY2272 ) @ ( e2 @ SY2271 @ ( s @ SY2272 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(346,plain,
! [SV207: $i,SV165: $i,SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY2277: $i,SY2278: $i,SY2279: $i,SY2280: $i,SY2281: $i,SY2282: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ ( s @ SY2277 ) @ SY2278 ) @ SY2279 @ SY2280 @ SY2281 @ SY2282 @ ( e1 @ SY2277 @ SY2278 ) @ ( e2 @ SY2277 @ ( s @ SY2278 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ SY2277 @ SY2278 ) @ SY2279 @ SY2280 @ SY2281 @ SY2282 @ ( e1 @ ( s @ SY2277 ) @ SY2278 ) @ ( e2 @ ( s @ SY2277 ) @ ( s @ SY2278 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(347,plain,
! [SV208: $i,SV166: $i,SV124: $i,SV81: $i,SV38: $i] :
( ( ! [SY2283: $i,SY2284: $i,SY2285: $i,SY2286: $i,SY2287: $i,SY2288: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SV166 @ SV208 @ SY2283 @ SY2284 @ SY2285 @ SY2286 @ SY2287 @ SY2288 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SV166 @ SV208 @ SY2283 @ SY2284 @ SY2285 @ SY2286 @ SY2287 @ SY2288 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(348,plain,
! [SV209: $i,SV167: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY2289: $i,SY2290: $i,SY2291: $i,SY2292: $i,SY2293: $i,SY2294: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SV167 @ SV209 @ SY2289 @ SY2290 @ SY2291 @ SY2292 @ SY2293 @ SY2294 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SV167 @ SV209 @ SY2289 @ SY2290 @ SY2291 @ SY2292 @ SY2293 @ SY2294 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(349,plain,
! [SV210: $i,SV168: $i,SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY2295: $i,SY2296: $i,SY2297: $i,SY2298: $i,SY2299: $i,SY2300: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SV168 @ SV210 @ SY2295 @ SY2296 @ SY2297 @ SY2298 @ SY2299 @ SY2300 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SV168 @ SV210 @ SY2295 @ SY2296 @ SY2297 @ SY2298 @ SY2299 @ SY2300 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(350,plain,
! [SV211: $i,SV169: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY2301: $i,SY2302: $i,SY2303: $i,SY2304: $i,SY2305: $i,SY2306: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SV169 @ SV211 @ SY2301 @ SY2302 @ SY2303 @ SY2304 @ SY2305 @ SY2306 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SV169 @ SV211 @ SY2301 @ SY2302 @ SY2303 @ SY2304 @ SY2305 @ SY2306 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(351,plain,
! [SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY2307: $i,SY2308: $i,SY2309: $i,SY2310: $i,SY2311: $i,SY2312: $i,SY2313: $i,SY2314: $i,SY2315: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SY2307 @ SY2308 @ SY2309 @ SY2310 @ SY2311 @ ( e1 @ SY2312 @ SY2313 ) @ ( e2 @ SY2314 @ SY2315 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SY2307 @ SY2308 @ SY2309 @ SY2310 @ SY2311 @ ( e1 @ SY2314 @ SY2315 ) @ ( e2 @ SY2312 @ SY2313 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(352,plain,
! [SV213: $i,SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY2316: $i,SY2317: $i,SY2318: $i,SY2319: $i,SY2320: $i,SY2321: $i] :
( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SV213 @ SY2316 @ SY2317 @ SY2318 @ SY2319 @ SY2320 @ SY2321 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(353,plain,
! [SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY2322: $i,SY2323: $i,SY2324: $i,SY2325: $i,SY2326: $i,SY2327: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SY2322 @ SY2323 ) @ SY2324 @ SY2325 @ SY2326 @ ( e1 @ SY2322 @ ( s @ SY2323 ) ) @ SY2327 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SY2322 @ ( s @ SY2323 ) ) @ SY2324 @ SY2325 @ SY2326 @ ( e1 @ SY2322 @ SY2323 ) @ SY2327 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(354,plain,
! [SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY2328: $i,SY2329: $i,SY2330: $i,SY2331: $i,SY2332: $i,SY2333: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SY2328 @ ( s @ SY2329 ) ) @ SY2330 @ SY2331 @ SY2332 @ ( e1 @ SY2328 @ SY2329 ) @ SY2333 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SY2328 @ SY2329 ) @ SY2330 @ SY2331 @ SY2332 @ ( e1 @ SY2328 @ ( s @ SY2329 ) ) @ SY2333 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(355,plain,
! [SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY2334: $i,SY2335: $i,SY2336: $i,SY2337: $i,SY2338: $i,SY2339: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ SY2334 @ SY2335 ) @ SY2336 @ SY2337 @ SY2338 @ ( e1 @ ( s @ SY2334 ) @ SY2335 ) @ SY2339 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ ( s @ SY2334 ) @ SY2335 ) @ SY2336 @ SY2337 @ SY2338 @ ( e1 @ SY2334 @ SY2335 ) @ SY2339 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(356,plain,
! [SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY2340: $i,SY2341: $i,SY2342: $i,SY2343: $i,SY2344: $i,SY2345: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ ( s @ SY2340 ) @ SY2341 ) @ SY2342 @ SY2343 @ SY2344 @ ( e1 @ SY2340 @ SY2341 ) @ SY2345 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ SY2340 @ SY2341 ) @ SY2342 @ SY2343 @ SY2344 @ ( e1 @ ( s @ SY2340 ) @ SY2341 ) @ SY2345 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(357,plain,
! [SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY2346: $i,SY2347: $i,SY2348: $i,SY2349: $i,SY2350: $i,SY2351: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SY2346 @ ( s2 @ SY2347 @ SY2348 ) @ SY2349 @ SY2350 @ ( e1 @ SY2347 @ ( s @ SY2348 ) ) @ SY2351 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SY2346 @ ( s2 @ SY2347 @ ( s @ SY2348 ) ) @ SY2349 @ SY2350 @ ( e1 @ SY2347 @ SY2348 ) @ SY2351 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(358,plain,
! [SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY2352: $i,SY2353: $i,SY2354: $i,SY2355: $i,SY2356: $i,SY2357: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SY2352 @ ( s2 @ SY2353 @ ( s @ SY2354 ) ) @ SY2355 @ SY2356 @ ( e1 @ SY2353 @ SY2354 ) @ SY2357 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SY2352 @ ( s2 @ SY2353 @ SY2354 ) @ SY2355 @ SY2356 @ ( e1 @ SY2353 @ ( s @ SY2354 ) ) @ SY2357 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(359,plain,
! [SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY2358: $i,SY2359: $i,SY2360: $i,SY2361: $i,SY2362: $i,SY2363: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SY2358 @ ( s2 @ SY2359 @ SY2360 ) @ SY2361 @ SY2362 @ ( e1 @ ( s @ SY2359 ) @ SY2360 ) @ SY2363 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SY2358 @ ( s2 @ ( s @ SY2359 ) @ SY2360 ) @ SY2361 @ SY2362 @ ( e1 @ SY2359 @ SY2360 ) @ SY2363 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(360,plain,
! [SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY2364: $i,SY2365: $i,SY2366: $i,SY2367: $i,SY2368: $i,SY2369: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SY2364 @ ( s2 @ ( s @ SY2365 ) @ SY2366 ) @ SY2367 @ SY2368 @ ( e1 @ SY2365 @ SY2366 ) @ SY2369 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SY2364 @ ( s2 @ SY2365 @ SY2366 ) @ SY2367 @ SY2368 @ ( e1 @ ( s @ SY2365 ) @ SY2366 ) @ SY2369 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(361,plain,
! [SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY2370: $i,SY2371: $i,SY2372: $i,SY2373: $i,SY2374: $i,SY2375: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SY2370 @ SY2371 @ ( s3 @ SY2372 @ SY2373 ) @ SY2374 @ ( e1 @ SY2372 @ ( s @ SY2373 ) ) @ SY2375 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SY2370 @ SY2371 @ ( s3 @ SY2372 @ ( s @ SY2373 ) ) @ SY2374 @ ( e1 @ SY2372 @ SY2373 ) @ SY2375 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(362,plain,
! [SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY2376: $i,SY2377: $i,SY2378: $i,SY2379: $i,SY2380: $i,SY2381: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SY2376 @ SY2377 @ ( s3 @ SY2378 @ ( s @ SY2379 ) ) @ SY2380 @ ( e1 @ SY2378 @ SY2379 ) @ SY2381 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SY2376 @ SY2377 @ ( s3 @ SY2378 @ SY2379 ) @ SY2380 @ ( e1 @ SY2378 @ ( s @ SY2379 ) ) @ SY2381 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(363,plain,
! [SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY2382: $i,SY2383: $i,SY2384: $i,SY2385: $i,SY2386: $i,SY2387: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SY2382 @ SY2383 @ ( s3 @ SY2384 @ SY2385 ) @ SY2386 @ ( e1 @ ( s @ SY2384 ) @ SY2385 ) @ SY2387 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SY2382 @ SY2383 @ ( s3 @ ( s @ SY2384 ) @ SY2385 ) @ SY2386 @ ( e1 @ SY2384 @ SY2385 ) @ SY2387 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(364,plain,
! [SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY2388: $i,SY2389: $i,SY2390: $i,SY2391: $i,SY2392: $i,SY2393: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SY2388 @ SY2389 @ ( s3 @ ( s @ SY2390 ) @ SY2391 ) @ SY2392 @ ( e1 @ SY2390 @ SY2391 ) @ SY2393 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SY2388 @ SY2389 @ ( s3 @ SY2390 @ SY2391 ) @ SY2392 @ ( e1 @ ( s @ SY2390 ) @ SY2391 ) @ SY2393 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(365,plain,
! [SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY2394: $i,SY2395: $i,SY2396: $i,SY2397: $i,SY2398: $i,SY2399: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SY2394 @ SY2395 @ SY2396 @ ( s4 @ SY2397 @ SY2398 ) @ ( e1 @ SY2397 @ ( s @ SY2398 ) ) @ SY2399 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SY2394 @ SY2395 @ SY2396 @ ( s4 @ SY2397 @ ( s @ SY2398 ) ) @ ( e1 @ SY2397 @ SY2398 ) @ SY2399 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(366,plain,
! [SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY2400: $i,SY2401: $i,SY2402: $i,SY2403: $i,SY2404: $i,SY2405: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SY2400 @ SY2401 @ SY2402 @ ( s4 @ SY2403 @ ( s @ SY2404 ) ) @ ( e1 @ SY2403 @ SY2404 ) @ SY2405 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SY2400 @ SY2401 @ SY2402 @ ( s4 @ SY2403 @ SY2404 ) @ ( e1 @ SY2403 @ ( s @ SY2404 ) ) @ SY2405 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(367,plain,
! [SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY2406: $i,SY2407: $i,SY2408: $i,SY2409: $i,SY2410: $i,SY2411: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SY2406 @ SY2407 @ SY2408 @ ( s4 @ SY2409 @ SY2410 ) @ ( e1 @ ( s @ SY2409 ) @ SY2410 ) @ SY2411 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SY2406 @ SY2407 @ SY2408 @ ( s4 @ ( s @ SY2409 ) @ SY2410 ) @ ( e1 @ SY2409 @ SY2410 ) @ SY2411 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(368,plain,
! [SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY2412: $i,SY2413: $i,SY2414: $i,SY2415: $i,SY2416: $i,SY2417: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SY2412 @ SY2413 @ SY2414 @ ( s4 @ ( s @ SY2415 ) @ SY2416 ) @ ( e1 @ SY2415 @ SY2416 ) @ SY2417 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SY2412 @ SY2413 @ SY2414 @ ( s4 @ SY2415 @ SY2416 ) @ ( e1 @ ( s @ SY2415 ) @ SY2416 ) @ SY2417 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(369,plain,
! [SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY2418: $i,SY2419: $i,SY2420: $i,SY2421: $i,SY2422: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SY2418 @ SY2419 @ SY2420 @ SY2421 @ SY2422 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SV146 @ SV188 @ SV230 @ SY2418 @ SY2419 @ SY2420 @ SY2421 @ SY2422 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(370,plain,
! [SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV62: $i,SV19: $i] :
( ( ! [SY2423: $i,SY2424: $i,SY2425: $i,SY2426: $i,SY2427: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SV147 @ SV189 @ SV231 @ SY2423 @ SY2424 @ SY2425 @ SY2426 @ SY2427 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SY2423 @ SY2424 @ SY2425 @ SY2426 @ SY2427 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(371,plain,
! [SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY2428: $i,SY2429: $i,SY2430: $i,SY2431: $i,SY2432: $i,SY2433: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SV190 @ SV232 @ SY2428 @ SY2429 @ SY2430 @ SY2431 @ SY2432 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY2433 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SV190 @ SV232 @ SY2428 @ SY2429 @ SY2430 @ SY2431 @ SY2432 @ ( e1 @ SV63 @ SV106 ) @ SY2433 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(372,plain,
! [SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY2434: $i,SY2435: $i,SY2436: $i,SY2437: $i,SY2438: $i,SY2439: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SV191 @ SV233 @ SY2434 @ SY2435 @ SY2436 @ SY2437 @ SY2438 @ ( e1 @ SV64 @ SV107 ) @ SY2439 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SV191 @ SV233 @ SY2434 @ SY2435 @ SY2436 @ SY2437 @ SY2438 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY2439 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(373,plain,
! [SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY2440: $i,SY2441: $i,SY2442: $i,SY2443: $i,SY2444: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SY2440 @ SY2441 @ SY2442 @ SY2443 @ SY2444 @ ( e1 @ SV108 @ ( s @ SV150 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SV150 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SV150 ) ) @ SV192 @ SV234 @ SY2440 @ SY2441 @ SY2442 @ SY2443 @ SY2444 @ ( e1 @ SV108 @ SV150 ) @ ( e2 @ ( s @ SV108 ) @ SV150 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(374,plain,
! [SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY2445: $i,SY2446: $i,SY2447: $i,SY2448: $i,SY2449: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SV151 ) ) @ SV193 @ SV235 @ SY2445 @ SY2446 @ SY2447 @ SY2448 @ SY2449 @ ( e1 @ SV109 @ SV151 ) @ ( e2 @ ( s @ SV109 ) @ SV151 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SY2445 @ SY2446 @ SY2447 @ SY2448 @ SY2449 @ ( e1 @ SV109 @ ( s @ SV151 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SV151 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(375,plain,
! [SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY2450: $i,SY2451: $i,SY2452: $i,SY2453: $i,SY2454: $i,SY2455: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SV194 @ SV236 @ SY2450 @ SY2451 @ SY2452 @ SY2453 @ SY2454 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SY2455 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SV194 @ SV236 @ SY2450 @ SY2451 @ SY2452 @ SY2453 @ SY2454 @ ( e1 @ SV110 @ SV152 ) @ SY2455 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(376,plain,
! [SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY2456: $i,SY2457: $i,SY2458: $i,SY2459: $i,SY2460: $i,SY2461: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SV195 @ SV237 @ SY2456 @ SY2457 @ SY2458 @ SY2459 @ SY2460 @ ( e1 @ SV111 @ SV153 ) @ SY2461 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SV195 @ SV237 @ SY2456 @ SY2457 @ SY2458 @ SY2459 @ SY2460 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SY2461 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(377,plain,
! [SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY2462: $i,SY2463: $i,SY2464: $i,SY2465: $i,SY2466: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SY2462 @ SY2463 @ SY2464 @ SY2465 @ SY2466 @ ( e1 @ SV154 @ ( s @ SV196 ) ) @ ( e2 @ ( s @ SV154 ) @ ( s @ SV196 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ ( s @ SV196 ) ) @ SV238 @ SY2462 @ SY2463 @ SY2464 @ SY2465 @ SY2466 @ ( e1 @ SV154 @ SV196 ) @ ( e2 @ ( s @ SV154 ) @ SV196 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(378,plain,
! [SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY2467: $i,SY2468: $i,SY2469: $i,SY2470: $i,SY2471: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ ( s @ SV197 ) ) @ SV239 @ SY2467 @ SY2468 @ SY2469 @ SY2470 @ SY2471 @ ( e1 @ SV155 @ SV197 ) @ ( e2 @ ( s @ SV155 ) @ SV197 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SY2467 @ SY2468 @ SY2469 @ SY2470 @ SY2471 @ ( e1 @ SV155 @ ( s @ SV197 ) ) @ ( e2 @ ( s @ SV155 ) @ ( s @ SV197 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(379,plain,
! [SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY2472: $i,SY2473: $i,SY2474: $i,SY2475: $i,SY2476: $i,SY2477: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SV198 ) @ SV240 @ SY2472 @ SY2473 @ SY2474 @ SY2475 @ SY2476 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SV198 ) @ SY2477 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SV198 ) @ SV240 @ SY2472 @ SY2473 @ SY2474 @ SY2475 @ SY2476 @ ( e1 @ SV156 @ SV198 ) @ SY2477 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(380,plain,
! [SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY2478: $i,SY2479: $i,SY2480: $i,SY2481: $i,SY2482: $i,SY2483: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SV199 ) @ SV241 @ SY2478 @ SY2479 @ SY2480 @ SY2481 @ SY2482 @ ( e1 @ SV157 @ SV199 ) @ SY2483 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SV199 ) @ SV241 @ SY2478 @ SY2479 @ SY2480 @ SY2481 @ SY2482 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SV199 ) @ SY2483 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(381,plain,
! [SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV73: $i,SV30: $i] :
( ( ! [SY2484: $i,SY2485: $i,SY2486: $i,SY2487: $i,SY2488: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SY2484 @ SY2485 @ SY2486 @ SY2487 @ SY2488 @ ( e1 @ SV200 @ ( s @ SV242 ) ) @ ( e2 @ ( s @ SV200 ) @ ( s @ SV242 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ ( s @ SV242 ) ) @ SY2484 @ SY2485 @ SY2486 @ SY2487 @ SY2488 @ ( e1 @ SV200 @ SV242 ) @ ( e2 @ ( s @ SV200 ) @ SV242 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(382,plain,
! [SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV74: $i,SV31: $i] :
( ( ! [SY2489: $i,SY2490: $i,SY2491: $i,SY2492: $i,SY2493: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ ( s @ SV243 ) ) @ SY2489 @ SY2490 @ SY2491 @ SY2492 @ SY2493 @ ( e1 @ SV201 @ SV243 ) @ ( e2 @ ( s @ SV201 ) @ SV243 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SY2489 @ SY2490 @ SY2491 @ SY2492 @ SY2493 @ ( e1 @ SV201 @ ( s @ SV243 ) ) @ ( e2 @ ( s @ SV201 ) @ ( s @ SV243 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(383,plain,
! [SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY2494: $i,SY2495: $i,SY2496: $i,SY2497: $i,SY2498: $i,SY2499: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SV202 @ SV244 ) @ SY2494 @ SY2495 @ SY2496 @ SY2497 @ SY2498 @ ( e1 @ ( s @ ( s @ SV202 ) ) @ SV244 ) @ SY2499 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SV202 ) @ SV244 ) @ SY2494 @ SY2495 @ SY2496 @ SY2497 @ SY2498 @ ( e1 @ SV202 @ SV244 ) @ SY2499 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(384,plain,
! [SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY2500: $i,SY2501: $i,SY2502: $i,SY2503: $i,SY2504: $i,SY2505: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SV203 ) @ SV245 ) @ SY2500 @ SY2501 @ SY2502 @ SY2503 @ SY2504 @ ( e1 @ SV203 @ SV245 ) @ SY2505 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SV203 @ SV245 ) @ SY2500 @ SY2501 @ SY2502 @ SY2503 @ SY2504 @ ( e1 @ ( s @ ( s @ SV203 ) ) @ SV245 ) @ SY2505 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(385,plain,
! [SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY2506: $i,SY2507: $i,SY2508: $i,SY2509: $i,SY2510: $i,SY2511: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SY2506 ) @ SY2507 @ SY2508 @ SY2509 @ SY2510 @ ( e1 @ SV246 @ ( s @ ( s @ SY2506 ) ) ) @ SY2511 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ ( s @ SY2506 ) ) @ SY2507 @ SY2508 @ SY2509 @ SY2510 @ ( e1 @ SV246 @ SY2506 ) @ SY2511 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(386,plain,
! [SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY2512: $i,SY2513: $i,SY2514: $i,SY2515: $i,SY2516: $i,SY2517: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ ( s @ SY2512 ) ) @ SY2513 @ SY2514 @ SY2515 @ SY2516 @ ( e1 @ SV247 @ SY2512 ) @ SY2517 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SY2512 ) @ SY2513 @ SY2514 @ SY2515 @ SY2516 @ ( e1 @ SV247 @ ( s @ ( s @ SY2512 ) ) ) @ SY2517 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(387,plain,
! [SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV79: $i,SV36: $i] :
( ( ! [SY2518: $i,SY2519: $i,SY2520: $i,SY2521: $i,SY2522: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ SV248 @ SY2518 ) @ SY2519 @ SY2520 @ SY2521 @ SY2522 @ ( e1 @ ( s @ SV248 ) @ SY2518 ) @ ( e2 @ ( s @ SV248 ) @ ( s @ SY2518 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ ( s @ SV248 ) @ SY2518 ) @ SY2519 @ SY2520 @ SY2521 @ SY2522 @ ( e1 @ SV248 @ SY2518 ) @ ( e2 @ SV248 @ ( s @ SY2518 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(388,plain,
! [SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY2523: $i,SY2524: $i,SY2525: $i,SY2526: $i,SY2527: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ ( s @ SV249 ) @ SY2523 ) @ SY2524 @ SY2525 @ SY2526 @ SY2527 @ ( e1 @ SV249 @ SY2523 ) @ ( e2 @ SV249 @ ( s @ SY2523 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ SV249 @ SY2523 ) @ SY2524 @ SY2525 @ SY2526 @ SY2527 @ ( e1 @ ( s @ SV249 ) @ SY2523 ) @ ( e2 @ ( s @ SV249 ) @ ( s @ SY2523 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(389,plain,
! [SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV81: $i,SV38: $i] :
( ( ! [SY2528: $i,SY2529: $i,SY2530: $i,SY2531: $i,SY2532: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SY2528 @ SY2529 @ SY2530 @ SY2531 @ SY2532 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SV166 @ SV208 @ SV250 @ SY2528 @ SY2529 @ SY2530 @ SY2531 @ SY2532 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(390,plain,
! [SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY2533: $i,SY2534: $i,SY2535: $i,SY2536: $i,SY2537: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SV167 @ SV209 @ SV251 @ SY2533 @ SY2534 @ SY2535 @ SY2536 @ SY2537 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SY2533 @ SY2534 @ SY2535 @ SY2536 @ SY2537 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(391,plain,
! [SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY2538: $i,SY2539: $i,SY2540: $i,SY2541: $i,SY2542: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SY2538 @ SY2539 @ SY2540 @ SY2541 @ SY2542 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SY2538 @ SY2539 @ SY2540 @ SY2541 @ SY2542 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(392,plain,
! [SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY2543: $i,SY2544: $i,SY2545: $i,SY2546: $i,SY2547: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SY2543 @ SY2544 @ SY2545 @ SY2546 @ SY2547 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SY2543 @ SY2544 @ SY2545 @ SY2546 @ SY2547 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(393,plain,
! [SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY2548: $i,SY2549: $i,SY2550: $i,SY2551: $i,SY2552: $i,SY2553: $i,SY2554: $i,SY2555: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SY2548 @ SY2549 @ SY2550 @ SY2551 @ ( e1 @ SY2552 @ SY2553 ) @ ( e2 @ SY2554 @ SY2555 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SY2548 @ SY2549 @ SY2550 @ SY2551 @ ( e1 @ SY2554 @ SY2555 ) @ ( e2 @ SY2552 @ SY2553 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(394,plain,
! [SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY2556: $i,SY2557: $i,SY2558: $i,SY2559: $i,SY2560: $i] :
( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SV213 @ SV255 @ SY2556 @ SY2557 @ SY2558 @ SY2559 @ SY2560 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(395,plain,
! [SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY2561: $i,SY2562: $i,SY2563: $i,SY2564: $i,SY2565: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SY2561 ) @ SY2562 @ SY2563 @ SY2564 @ ( e1 @ SV256 @ ( s @ SY2561 ) ) @ SY2565 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ ( s @ SY2561 ) ) @ SY2562 @ SY2563 @ SY2564 @ ( e1 @ SV256 @ SY2561 ) @ SY2565 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(396,plain,
! [SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY2566: $i,SY2567: $i,SY2568: $i,SY2569: $i,SY2570: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ ( s @ SY2566 ) ) @ SY2567 @ SY2568 @ SY2569 @ ( e1 @ SV257 @ SY2566 ) @ SY2570 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SY2566 ) @ SY2567 @ SY2568 @ SY2569 @ ( e1 @ SV257 @ ( s @ SY2566 ) ) @ SY2570 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(397,plain,
! [SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY2571: $i,SY2572: $i,SY2573: $i,SY2574: $i,SY2575: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ SV258 @ SY2571 ) @ SY2572 @ SY2573 @ SY2574 @ ( e1 @ ( s @ SV258 ) @ SY2571 ) @ SY2575 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ ( s @ SV258 ) @ SY2571 ) @ SY2572 @ SY2573 @ SY2574 @ ( e1 @ SV258 @ SY2571 ) @ SY2575 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(398,plain,
! [SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY2576: $i,SY2577: $i,SY2578: $i,SY2579: $i,SY2580: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ ( s @ SV259 ) @ SY2576 ) @ SY2577 @ SY2578 @ SY2579 @ ( e1 @ SV259 @ SY2576 ) @ SY2580 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ SV259 @ SY2576 ) @ SY2577 @ SY2578 @ SY2579 @ ( e1 @ ( s @ SV259 ) @ SY2576 ) @ SY2580 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(399,plain,
! [SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY2581: $i,SY2582: $i,SY2583: $i,SY2584: $i,SY2585: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SY2581 @ SY2582 ) @ SY2583 @ SY2584 @ ( e1 @ SY2581 @ ( s @ SY2582 ) ) @ SY2585 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SY2581 @ ( s @ SY2582 ) ) @ SY2583 @ SY2584 @ ( e1 @ SY2581 @ SY2582 ) @ SY2585 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(400,plain,
! [SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY2586: $i,SY2587: $i,SY2588: $i,SY2589: $i,SY2590: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SY2586 @ ( s @ SY2587 ) ) @ SY2588 @ SY2589 @ ( e1 @ SY2586 @ SY2587 ) @ SY2590 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SY2586 @ SY2587 ) @ SY2588 @ SY2589 @ ( e1 @ SY2586 @ ( s @ SY2587 ) ) @ SY2590 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(401,plain,
! [SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY2591: $i,SY2592: $i,SY2593: $i,SY2594: $i,SY2595: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ SY2591 @ SY2592 ) @ SY2593 @ SY2594 @ ( e1 @ ( s @ SY2591 ) @ SY2592 ) @ SY2595 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ ( s @ SY2591 ) @ SY2592 ) @ SY2593 @ SY2594 @ ( e1 @ SY2591 @ SY2592 ) @ SY2595 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(402,plain,
! [SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY2596: $i,SY2597: $i,SY2598: $i,SY2599: $i,SY2600: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ ( s @ SY2596 ) @ SY2597 ) @ SY2598 @ SY2599 @ ( e1 @ SY2596 @ SY2597 ) @ SY2600 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ SY2596 @ SY2597 ) @ SY2598 @ SY2599 @ ( e1 @ ( s @ SY2596 ) @ SY2597 ) @ SY2600 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(403,plain,
! [SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY2601: $i,SY2602: $i,SY2603: $i,SY2604: $i,SY2605: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SY2601 @ ( s3 @ SY2602 @ SY2603 ) @ SY2604 @ ( e1 @ SY2602 @ ( s @ SY2603 ) ) @ SY2605 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SY2601 @ ( s3 @ SY2602 @ ( s @ SY2603 ) ) @ SY2604 @ ( e1 @ SY2602 @ SY2603 ) @ SY2605 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(404,plain,
! [SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY2606: $i,SY2607: $i,SY2608: $i,SY2609: $i,SY2610: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SY2606 @ ( s3 @ SY2607 @ ( s @ SY2608 ) ) @ SY2609 @ ( e1 @ SY2607 @ SY2608 ) @ SY2610 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SY2606 @ ( s3 @ SY2607 @ SY2608 ) @ SY2609 @ ( e1 @ SY2607 @ ( s @ SY2608 ) ) @ SY2610 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(405,plain,
! [SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY2611: $i,SY2612: $i,SY2613: $i,SY2614: $i,SY2615: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SY2611 @ ( s3 @ SY2612 @ SY2613 ) @ SY2614 @ ( e1 @ ( s @ SY2612 ) @ SY2613 ) @ SY2615 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SY2611 @ ( s3 @ ( s @ SY2612 ) @ SY2613 ) @ SY2614 @ ( e1 @ SY2612 @ SY2613 ) @ SY2615 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(406,plain,
! [SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY2616: $i,SY2617: $i,SY2618: $i,SY2619: $i,SY2620: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SY2616 @ ( s3 @ ( s @ SY2617 ) @ SY2618 ) @ SY2619 @ ( e1 @ SY2617 @ SY2618 ) @ SY2620 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SY2616 @ ( s3 @ SY2617 @ SY2618 ) @ SY2619 @ ( e1 @ ( s @ SY2617 ) @ SY2618 ) @ SY2620 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(407,plain,
! [SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY2621: $i,SY2622: $i,SY2623: $i,SY2624: $i,SY2625: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SY2621 @ SY2622 @ ( s4 @ SY2623 @ SY2624 ) @ ( e1 @ SY2623 @ ( s @ SY2624 ) ) @ SY2625 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SY2621 @ SY2622 @ ( s4 @ SY2623 @ ( s @ SY2624 ) ) @ ( e1 @ SY2623 @ SY2624 ) @ SY2625 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(408,plain,
! [SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY2626: $i,SY2627: $i,SY2628: $i,SY2629: $i,SY2630: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SY2626 @ SY2627 @ ( s4 @ SY2628 @ ( s @ SY2629 ) ) @ ( e1 @ SY2628 @ SY2629 ) @ SY2630 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SY2626 @ SY2627 @ ( s4 @ SY2628 @ SY2629 ) @ ( e1 @ SY2628 @ ( s @ SY2629 ) ) @ SY2630 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(409,plain,
! [SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY2631: $i,SY2632: $i,SY2633: $i,SY2634: $i,SY2635: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SY2631 @ SY2632 @ ( s4 @ SY2633 @ SY2634 ) @ ( e1 @ ( s @ SY2633 ) @ SY2634 ) @ SY2635 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SY2631 @ SY2632 @ ( s4 @ ( s @ SY2633 ) @ SY2634 ) @ ( e1 @ SY2633 @ SY2634 ) @ SY2635 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(410,plain,
! [SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY2636: $i,SY2637: $i,SY2638: $i,SY2639: $i,SY2640: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SY2636 @ SY2637 @ ( s4 @ ( s @ SY2638 ) @ SY2639 ) @ ( e1 @ SY2638 @ SY2639 ) @ SY2640 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SY2636 @ SY2637 @ ( s4 @ SY2638 @ SY2639 ) @ ( e1 @ ( s @ SY2638 ) @ SY2639 ) @ SY2640 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(411,plain,
! [SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY2641: $i,SY2642: $i,SY2643: $i,SY2644: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SY2641 @ SY2642 @ SY2643 @ SY2644 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SV146 @ SV188 @ SV230 @ SV272 @ SY2641 @ SY2642 @ SY2643 @ SY2644 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(412,plain,
! [SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV62: $i,SV19: $i] :
( ( ! [SY2645: $i,SY2646: $i,SY2647: $i,SY2648: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SV147 @ SV189 @ SV231 @ SV273 @ SY2645 @ SY2646 @ SY2647 @ SY2648 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SY2645 @ SY2646 @ SY2647 @ SY2648 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(413,plain,
! [SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY2649: $i,SY2650: $i,SY2651: $i,SY2652: $i,SY2653: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SY2649 @ SY2650 @ SY2651 @ SY2652 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY2653 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SY2649 @ SY2650 @ SY2651 @ SY2652 @ ( e1 @ SV63 @ SV106 ) @ SY2653 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(414,plain,
! [SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY2654: $i,SY2655: $i,SY2656: $i,SY2657: $i,SY2658: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SY2654 @ SY2655 @ SY2656 @ SY2657 @ ( e1 @ SV64 @ SV107 ) @ SY2658 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SY2654 @ SY2655 @ SY2656 @ SY2657 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY2658 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(415,plain,
! [SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY2659: $i,SY2660: $i,SY2661: $i,SY2662: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SY2659 @ SY2660 @ SY2661 @ SY2662 @ ( e1 @ SV108 @ ( s @ SV150 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SV150 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SV150 ) ) @ SV192 @ SV234 @ SV276 @ SY2659 @ SY2660 @ SY2661 @ SY2662 @ ( e1 @ SV108 @ SV150 ) @ ( e2 @ ( s @ SV108 ) @ SV150 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(416,plain,
! [SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY2663: $i,SY2664: $i,SY2665: $i,SY2666: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SV151 ) ) @ SV193 @ SV235 @ SV277 @ SY2663 @ SY2664 @ SY2665 @ SY2666 @ ( e1 @ SV109 @ SV151 ) @ ( e2 @ ( s @ SV109 ) @ SV151 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SY2663 @ SY2664 @ SY2665 @ SY2666 @ ( e1 @ SV109 @ ( s @ SV151 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SV151 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(417,plain,
! [SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY2667: $i,SY2668: $i,SY2669: $i,SY2670: $i,SY2671: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SV194 @ SV236 @ SV278 @ SY2667 @ SY2668 @ SY2669 @ SY2670 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SY2671 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SV194 @ SV236 @ SV278 @ SY2667 @ SY2668 @ SY2669 @ SY2670 @ ( e1 @ SV110 @ SV152 ) @ SY2671 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(418,plain,
! [SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY2672: $i,SY2673: $i,SY2674: $i,SY2675: $i,SY2676: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SV195 @ SV237 @ SV279 @ SY2672 @ SY2673 @ SY2674 @ SY2675 @ ( e1 @ SV111 @ SV153 ) @ SY2676 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SV195 @ SV237 @ SV279 @ SY2672 @ SY2673 @ SY2674 @ SY2675 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SY2676 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(419,plain,
! [SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY2677: $i,SY2678: $i,SY2679: $i,SY2680: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SY2677 @ SY2678 @ SY2679 @ SY2680 @ ( e1 @ SV154 @ ( s @ SV196 ) ) @ ( e2 @ ( s @ SV154 ) @ ( s @ SV196 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ ( s @ SV196 ) ) @ SV238 @ SV280 @ SY2677 @ SY2678 @ SY2679 @ SY2680 @ ( e1 @ SV154 @ SV196 ) @ ( e2 @ ( s @ SV154 ) @ SV196 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(420,plain,
! [SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY2681: $i,SY2682: $i,SY2683: $i,SY2684: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ ( s @ SV197 ) ) @ SV239 @ SV281 @ SY2681 @ SY2682 @ SY2683 @ SY2684 @ ( e1 @ SV155 @ SV197 ) @ ( e2 @ ( s @ SV155 ) @ SV197 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SY2681 @ SY2682 @ SY2683 @ SY2684 @ ( e1 @ SV155 @ ( s @ SV197 ) ) @ ( e2 @ ( s @ SV155 ) @ ( s @ SV197 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(421,plain,
! [SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY2685: $i,SY2686: $i,SY2687: $i,SY2688: $i,SY2689: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SV198 ) @ SV240 @ SV282 @ SY2685 @ SY2686 @ SY2687 @ SY2688 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SV198 ) @ SY2689 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SV198 ) @ SV240 @ SV282 @ SY2685 @ SY2686 @ SY2687 @ SY2688 @ ( e1 @ SV156 @ SV198 ) @ SY2689 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(422,plain,
! [SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY2690: $i,SY2691: $i,SY2692: $i,SY2693: $i,SY2694: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SV199 ) @ SV241 @ SV283 @ SY2690 @ SY2691 @ SY2692 @ SY2693 @ ( e1 @ SV157 @ SV199 ) @ SY2694 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SV199 ) @ SV241 @ SV283 @ SY2690 @ SY2691 @ SY2692 @ SY2693 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SV199 ) @ SY2694 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(423,plain,
! [SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV73: $i,SV30: $i] :
( ( ! [SY2695: $i,SY2696: $i,SY2697: $i,SY2698: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SY2695 @ SY2696 @ SY2697 @ SY2698 @ ( e1 @ SV200 @ ( s @ SV242 ) ) @ ( e2 @ ( s @ SV200 ) @ ( s @ SV242 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ ( s @ SV242 ) ) @ SV284 @ SY2695 @ SY2696 @ SY2697 @ SY2698 @ ( e1 @ SV200 @ SV242 ) @ ( e2 @ ( s @ SV200 ) @ SV242 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(424,plain,
! [SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV74: $i,SV31: $i] :
( ( ! [SY2699: $i,SY2700: $i,SY2701: $i,SY2702: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ ( s @ SV243 ) ) @ SV285 @ SY2699 @ SY2700 @ SY2701 @ SY2702 @ ( e1 @ SV201 @ SV243 ) @ ( e2 @ ( s @ SV201 ) @ SV243 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SY2699 @ SY2700 @ SY2701 @ SY2702 @ ( e1 @ SV201 @ ( s @ SV243 ) ) @ ( e2 @ ( s @ SV201 ) @ ( s @ SV243 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(425,plain,
! [SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY2703: $i,SY2704: $i,SY2705: $i,SY2706: $i,SY2707: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SV202 @ SV244 ) @ SV286 @ SY2703 @ SY2704 @ SY2705 @ SY2706 @ ( e1 @ ( s @ ( s @ SV202 ) ) @ SV244 ) @ SY2707 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SV202 ) @ SV244 ) @ SV286 @ SY2703 @ SY2704 @ SY2705 @ SY2706 @ ( e1 @ SV202 @ SV244 ) @ SY2707 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(426,plain,
! [SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY2708: $i,SY2709: $i,SY2710: $i,SY2711: $i,SY2712: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SV203 ) @ SV245 ) @ SV287 @ SY2708 @ SY2709 @ SY2710 @ SY2711 @ ( e1 @ SV203 @ SV245 ) @ SY2712 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SV203 @ SV245 ) @ SV287 @ SY2708 @ SY2709 @ SY2710 @ SY2711 @ ( e1 @ ( s @ ( s @ SV203 ) ) @ SV245 ) @ SY2712 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(427,plain,
! [SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY2713: $i,SY2714: $i,SY2715: $i,SY2716: $i,SY2717: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SY2713 @ SY2714 @ SY2715 @ SY2716 @ ( e1 @ SV246 @ ( s @ ( s @ SV288 ) ) ) @ SY2717 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ ( s @ SV288 ) ) @ SY2713 @ SY2714 @ SY2715 @ SY2716 @ ( e1 @ SV246 @ SV288 ) @ SY2717 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(428,plain,
! [SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY2718: $i,SY2719: $i,SY2720: $i,SY2721: $i,SY2722: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ ( s @ SV289 ) ) @ SY2718 @ SY2719 @ SY2720 @ SY2721 @ ( e1 @ SV247 @ SV289 ) @ SY2722 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SY2718 @ SY2719 @ SY2720 @ SY2721 @ ( e1 @ SV247 @ ( s @ ( s @ SV289 ) ) ) @ SY2722 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(429,plain,
! [SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV79: $i,SV36: $i] :
( ( ! [SY2723: $i,SY2724: $i,SY2725: $i,SY2726: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ SV248 @ SV290 ) @ SY2723 @ SY2724 @ SY2725 @ SY2726 @ ( e1 @ ( s @ SV248 ) @ SV290 ) @ ( e2 @ ( s @ SV248 ) @ ( s @ SV290 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ ( s @ SV248 ) @ SV290 ) @ SY2723 @ SY2724 @ SY2725 @ SY2726 @ ( e1 @ SV248 @ SV290 ) @ ( e2 @ SV248 @ ( s @ SV290 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(430,plain,
! [SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY2727: $i,SY2728: $i,SY2729: $i,SY2730: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ ( s @ SV249 ) @ SV291 ) @ SY2727 @ SY2728 @ SY2729 @ SY2730 @ ( e1 @ SV249 @ SV291 ) @ ( e2 @ SV249 @ ( s @ SV291 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ SV249 @ SV291 ) @ SY2727 @ SY2728 @ SY2729 @ SY2730 @ ( e1 @ ( s @ SV249 ) @ SV291 ) @ ( e2 @ ( s @ SV249 ) @ ( s @ SV291 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(431,plain,
! [SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV81: $i,SV38: $i] :
( ( ! [SY2731: $i,SY2732: $i,SY2733: $i,SY2734: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SY2731 @ SY2732 @ SY2733 @ SY2734 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SY2731 @ SY2732 @ SY2733 @ SY2734 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(432,plain,
! [SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY2735: $i,SY2736: $i,SY2737: $i,SY2738: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SY2735 @ SY2736 @ SY2737 @ SY2738 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SY2735 @ SY2736 @ SY2737 @ SY2738 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(433,plain,
! [SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY2739: $i,SY2740: $i,SY2741: $i,SY2742: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SY2739 @ SY2740 @ SY2741 @ SY2742 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SY2739 @ SY2740 @ SY2741 @ SY2742 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(434,plain,
! [SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY2743: $i,SY2744: $i,SY2745: $i,SY2746: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SY2743 @ SY2744 @ SY2745 @ SY2746 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SY2743 @ SY2744 @ SY2745 @ SY2746 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(435,plain,
! [SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY2747: $i,SY2748: $i,SY2749: $i,SY2750: $i,SY2751: $i,SY2752: $i,SY2753: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SY2747 @ SY2748 @ SY2749 @ ( e1 @ SY2750 @ SY2751 ) @ ( e2 @ SY2752 @ SY2753 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SY2747 @ SY2748 @ SY2749 @ ( e1 @ SY2752 @ SY2753 ) @ ( e2 @ SY2750 @ SY2751 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(436,plain,
! [SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY2754: $i,SY2755: $i,SY2756: $i,SY2757: $i] :
( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SV213 @ SV255 @ SV297 @ SY2754 @ SY2755 @ SY2756 @ SY2757 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(437,plain,
! [SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY2758: $i,SY2759: $i,SY2760: $i,SY2761: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SY2758 @ SY2759 @ SY2760 @ ( e1 @ SV256 @ ( s @ SV298 ) ) @ SY2761 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ ( s @ SV298 ) ) @ SY2758 @ SY2759 @ SY2760 @ ( e1 @ SV256 @ SV298 ) @ SY2761 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(438,plain,
! [SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY2762: $i,SY2763: $i,SY2764: $i,SY2765: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ ( s @ SV299 ) ) @ SY2762 @ SY2763 @ SY2764 @ ( e1 @ SV257 @ SV299 ) @ SY2765 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SY2762 @ SY2763 @ SY2764 @ ( e1 @ SV257 @ ( s @ SV299 ) ) @ SY2765 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(439,plain,
! [SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY2766: $i,SY2767: $i,SY2768: $i,SY2769: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ SV258 @ SV300 ) @ SY2766 @ SY2767 @ SY2768 @ ( e1 @ ( s @ SV258 ) @ SV300 ) @ SY2769 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ ( s @ SV258 ) @ SV300 ) @ SY2766 @ SY2767 @ SY2768 @ ( e1 @ SV258 @ SV300 ) @ SY2769 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(440,plain,
! [SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY2770: $i,SY2771: $i,SY2772: $i,SY2773: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ ( s @ SV259 ) @ SV301 ) @ SY2770 @ SY2771 @ SY2772 @ ( e1 @ SV259 @ SV301 ) @ SY2773 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ SV259 @ SV301 ) @ SY2770 @ SY2771 @ SY2772 @ ( e1 @ ( s @ SV259 ) @ SV301 ) @ SY2773 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(441,plain,
! [SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY2774: $i,SY2775: $i,SY2776: $i,SY2777: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SY2774 ) @ SY2775 @ SY2776 @ ( e1 @ SV302 @ ( s @ SY2774 ) ) @ SY2777 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ ( s @ SY2774 ) ) @ SY2775 @ SY2776 @ ( e1 @ SV302 @ SY2774 ) @ SY2777 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(442,plain,
! [SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY2778: $i,SY2779: $i,SY2780: $i,SY2781: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ ( s @ SY2778 ) ) @ SY2779 @ SY2780 @ ( e1 @ SV303 @ SY2778 ) @ SY2781 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SY2778 ) @ SY2779 @ SY2780 @ ( e1 @ SV303 @ ( s @ SY2778 ) ) @ SY2781 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(443,plain,
! [SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY2782: $i,SY2783: $i,SY2784: $i,SY2785: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ SV304 @ SY2782 ) @ SY2783 @ SY2784 @ ( e1 @ ( s @ SV304 ) @ SY2782 ) @ SY2785 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ ( s @ SV304 ) @ SY2782 ) @ SY2783 @ SY2784 @ ( e1 @ SV304 @ SY2782 ) @ SY2785 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(444,plain,
! [SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY2786: $i,SY2787: $i,SY2788: $i,SY2789: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ ( s @ SV305 ) @ SY2786 ) @ SY2787 @ SY2788 @ ( e1 @ SV305 @ SY2786 ) @ SY2789 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ SV305 @ SY2786 ) @ SY2787 @ SY2788 @ ( e1 @ ( s @ SV305 ) @ SY2786 ) @ SY2789 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(445,plain,
! [SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY2790: $i,SY2791: $i,SY2792: $i,SY2793: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SY2790 @ SY2791 ) @ SY2792 @ ( e1 @ SY2790 @ ( s @ SY2791 ) ) @ SY2793 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SY2790 @ ( s @ SY2791 ) ) @ SY2792 @ ( e1 @ SY2790 @ SY2791 ) @ SY2793 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(446,plain,
! [SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY2794: $i,SY2795: $i,SY2796: $i,SY2797: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SY2794 @ ( s @ SY2795 ) ) @ SY2796 @ ( e1 @ SY2794 @ SY2795 ) @ SY2797 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SY2794 @ SY2795 ) @ SY2796 @ ( e1 @ SY2794 @ ( s @ SY2795 ) ) @ SY2797 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(447,plain,
! [SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY2798: $i,SY2799: $i,SY2800: $i,SY2801: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ SY2798 @ SY2799 ) @ SY2800 @ ( e1 @ ( s @ SY2798 ) @ SY2799 ) @ SY2801 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ ( s @ SY2798 ) @ SY2799 ) @ SY2800 @ ( e1 @ SY2798 @ SY2799 ) @ SY2801 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(448,plain,
! [SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY2802: $i,SY2803: $i,SY2804: $i,SY2805: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ ( s @ SY2802 ) @ SY2803 ) @ SY2804 @ ( e1 @ SY2802 @ SY2803 ) @ SY2805 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ SY2802 @ SY2803 ) @ SY2804 @ ( e1 @ ( s @ SY2802 ) @ SY2803 ) @ SY2805 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(449,plain,
! [SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY2806: $i,SY2807: $i,SY2808: $i,SY2809: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SY2806 @ ( s4 @ SY2807 @ SY2808 ) @ ( e1 @ SY2807 @ ( s @ SY2808 ) ) @ SY2809 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SY2806 @ ( s4 @ SY2807 @ ( s @ SY2808 ) ) @ ( e1 @ SY2807 @ SY2808 ) @ SY2809 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(450,plain,
! [SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY2810: $i,SY2811: $i,SY2812: $i,SY2813: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SY2810 @ ( s4 @ SY2811 @ ( s @ SY2812 ) ) @ ( e1 @ SY2811 @ SY2812 ) @ SY2813 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SY2810 @ ( s4 @ SY2811 @ SY2812 ) @ ( e1 @ SY2811 @ ( s @ SY2812 ) ) @ SY2813 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(451,plain,
! [SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY2814: $i,SY2815: $i,SY2816: $i,SY2817: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SY2814 @ ( s4 @ SY2815 @ SY2816 ) @ ( e1 @ ( s @ SY2815 ) @ SY2816 ) @ SY2817 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SY2814 @ ( s4 @ ( s @ SY2815 ) @ SY2816 ) @ ( e1 @ SY2815 @ SY2816 ) @ SY2817 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(452,plain,
! [SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY2818: $i,SY2819: $i,SY2820: $i,SY2821: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SY2818 @ ( s4 @ ( s @ SY2819 ) @ SY2820 ) @ ( e1 @ SY2819 @ SY2820 ) @ SY2821 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SY2818 @ ( s4 @ SY2819 @ SY2820 ) @ ( e1 @ ( s @ SY2819 ) @ SY2820 ) @ SY2821 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(453,plain,
! [SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY2822: $i,SY2823: $i,SY2824: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SY2822 @ SY2823 @ SY2824 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SY2822 @ SY2823 @ SY2824 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(454,plain,
! [SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV62: $i,SV19: $i] :
( ( ! [SY2825: $i,SY2826: $i,SY2827: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SY2825 @ SY2826 @ SY2827 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SY2825 @ SY2826 @ SY2827 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(455,plain,
! [SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY2828: $i,SY2829: $i,SY2830: $i,SY2831: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SY2828 @ SY2829 @ SY2830 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY2831 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SY2828 @ SY2829 @ SY2830 @ ( e1 @ SV63 @ SV106 ) @ SY2831 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(456,plain,
! [SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY2832: $i,SY2833: $i,SY2834: $i,SY2835: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SY2832 @ SY2833 @ SY2834 @ ( e1 @ SV64 @ SV107 ) @ SY2835 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SY2832 @ SY2833 @ SY2834 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY2835 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(457,plain,
! [SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY2836: $i,SY2837: $i,SY2838: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SY2836 @ SY2837 @ SY2838 @ ( e1 @ SV108 @ ( s @ SV150 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SV150 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SV150 ) ) @ SV192 @ SV234 @ SV276 @ SV318 @ SY2836 @ SY2837 @ SY2838 @ ( e1 @ SV108 @ SV150 ) @ ( e2 @ ( s @ SV108 ) @ SV150 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(458,plain,
! [SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY2839: $i,SY2840: $i,SY2841: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SV151 ) ) @ SV193 @ SV235 @ SV277 @ SV319 @ SY2839 @ SY2840 @ SY2841 @ ( e1 @ SV109 @ SV151 ) @ ( e2 @ ( s @ SV109 ) @ SV151 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SY2839 @ SY2840 @ SY2841 @ ( e1 @ SV109 @ ( s @ SV151 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SV151 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(459,plain,
! [SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY2842: $i,SY2843: $i,SY2844: $i,SY2845: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SY2842 @ SY2843 @ SY2844 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SY2845 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SY2842 @ SY2843 @ SY2844 @ ( e1 @ SV110 @ SV152 ) @ SY2845 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(460,plain,
! [SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY2846: $i,SY2847: $i,SY2848: $i,SY2849: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SY2846 @ SY2847 @ SY2848 @ ( e1 @ SV111 @ SV153 ) @ SY2849 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SY2846 @ SY2847 @ SY2848 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SY2849 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(461,plain,
! [SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY2850: $i,SY2851: $i,SY2852: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SY2850 @ SY2851 @ SY2852 @ ( e1 @ SV154 @ ( s @ SV196 ) ) @ ( e2 @ ( s @ SV154 ) @ ( s @ SV196 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ ( s @ SV196 ) ) @ SV238 @ SV280 @ SV322 @ SY2850 @ SY2851 @ SY2852 @ ( e1 @ SV154 @ SV196 ) @ ( e2 @ ( s @ SV154 ) @ SV196 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(462,plain,
! [SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY2853: $i,SY2854: $i,SY2855: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ ( s @ SV197 ) ) @ SV239 @ SV281 @ SV323 @ SY2853 @ SY2854 @ SY2855 @ ( e1 @ SV155 @ SV197 ) @ ( e2 @ ( s @ SV155 ) @ SV197 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SY2853 @ SY2854 @ SY2855 @ ( e1 @ SV155 @ ( s @ SV197 ) ) @ ( e2 @ ( s @ SV155 ) @ ( s @ SV197 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(463,plain,
! [SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY2856: $i,SY2857: $i,SY2858: $i,SY2859: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SV198 ) @ SV240 @ SV282 @ SV324 @ SY2856 @ SY2857 @ SY2858 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SV198 ) @ SY2859 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SV198 ) @ SV240 @ SV282 @ SV324 @ SY2856 @ SY2857 @ SY2858 @ ( e1 @ SV156 @ SV198 ) @ SY2859 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(464,plain,
! [SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY2860: $i,SY2861: $i,SY2862: $i,SY2863: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SV199 ) @ SV241 @ SV283 @ SV325 @ SY2860 @ SY2861 @ SY2862 @ ( e1 @ SV157 @ SV199 ) @ SY2863 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SV199 ) @ SV241 @ SV283 @ SV325 @ SY2860 @ SY2861 @ SY2862 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SV199 ) @ SY2863 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(465,plain,
! [SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV73: $i,SV30: $i] :
( ( ! [SY2864: $i,SY2865: $i,SY2866: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SY2864 @ SY2865 @ SY2866 @ ( e1 @ SV200 @ ( s @ SV242 ) ) @ ( e2 @ ( s @ SV200 ) @ ( s @ SV242 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ ( s @ SV242 ) ) @ SV284 @ SV326 @ SY2864 @ SY2865 @ SY2866 @ ( e1 @ SV200 @ SV242 ) @ ( e2 @ ( s @ SV200 ) @ SV242 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(466,plain,
! [SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV74: $i,SV31: $i] :
( ( ! [SY2867: $i,SY2868: $i,SY2869: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ ( s @ SV243 ) ) @ SV285 @ SV327 @ SY2867 @ SY2868 @ SY2869 @ ( e1 @ SV201 @ SV243 ) @ ( e2 @ ( s @ SV201 ) @ SV243 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SY2867 @ SY2868 @ SY2869 @ ( e1 @ SV201 @ ( s @ SV243 ) ) @ ( e2 @ ( s @ SV201 ) @ ( s @ SV243 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(467,plain,
! [SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY2870: $i,SY2871: $i,SY2872: $i,SY2873: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SV202 @ SV244 ) @ SV286 @ SV328 @ SY2870 @ SY2871 @ SY2872 @ ( e1 @ ( s @ ( s @ SV202 ) ) @ SV244 ) @ SY2873 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SV202 ) @ SV244 ) @ SV286 @ SV328 @ SY2870 @ SY2871 @ SY2872 @ ( e1 @ SV202 @ SV244 ) @ SY2873 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(468,plain,
! [SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY2874: $i,SY2875: $i,SY2876: $i,SY2877: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SV203 ) @ SV245 ) @ SV287 @ SV329 @ SY2874 @ SY2875 @ SY2876 @ ( e1 @ SV203 @ SV245 ) @ SY2877 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SV203 @ SV245 ) @ SV287 @ SV329 @ SY2874 @ SY2875 @ SY2876 @ ( e1 @ ( s @ ( s @ SV203 ) ) @ SV245 ) @ SY2877 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(469,plain,
! [SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY2878: $i,SY2879: $i,SY2880: $i,SY2881: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SY2878 @ SY2879 @ SY2880 @ ( e1 @ SV246 @ ( s @ ( s @ SV288 ) ) ) @ SY2881 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ ( s @ SV288 ) ) @ SV330 @ SY2878 @ SY2879 @ SY2880 @ ( e1 @ SV246 @ SV288 ) @ SY2881 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(470,plain,
! [SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY2882: $i,SY2883: $i,SY2884: $i,SY2885: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ ( s @ SV289 ) ) @ SV331 @ SY2882 @ SY2883 @ SY2884 @ ( e1 @ SV247 @ SV289 ) @ SY2885 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SY2882 @ SY2883 @ SY2884 @ ( e1 @ SV247 @ ( s @ ( s @ SV289 ) ) ) @ SY2885 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(471,plain,
! [SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV79: $i,SV36: $i] :
( ( ! [SY2886: $i,SY2887: $i,SY2888: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ SV248 @ SV290 ) @ SV332 @ SY2886 @ SY2887 @ SY2888 @ ( e1 @ ( s @ SV248 ) @ SV290 ) @ ( e2 @ ( s @ SV248 ) @ ( s @ SV290 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ ( s @ SV248 ) @ SV290 ) @ SV332 @ SY2886 @ SY2887 @ SY2888 @ ( e1 @ SV248 @ SV290 ) @ ( e2 @ SV248 @ ( s @ SV290 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(472,plain,
! [SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY2889: $i,SY2890: $i,SY2891: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ ( s @ SV249 ) @ SV291 ) @ SV333 @ SY2889 @ SY2890 @ SY2891 @ ( e1 @ SV249 @ SV291 ) @ ( e2 @ SV249 @ ( s @ SV291 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ SV249 @ SV291 ) @ SV333 @ SY2889 @ SY2890 @ SY2891 @ ( e1 @ ( s @ SV249 ) @ SV291 ) @ ( e2 @ ( s @ SV249 ) @ ( s @ SV291 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(473,plain,
! [SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV81: $i,SV38: $i] :
( ( ! [SY2892: $i,SY2893: $i,SY2894: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SY2892 @ SY2893 @ SY2894 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SY2892 @ SY2893 @ SY2894 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(474,plain,
! [SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY2895: $i,SY2896: $i,SY2897: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SY2895 @ SY2896 @ SY2897 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SY2895 @ SY2896 @ SY2897 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(475,plain,
! [SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY2898: $i,SY2899: $i,SY2900: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SY2898 @ SY2899 @ SY2900 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SY2898 @ SY2899 @ SY2900 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(476,plain,
! [SV337: $i,SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY2901: $i,SY2902: $i,SY2903: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SY2901 @ SY2902 @ SY2903 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SY2901 @ SY2902 @ SY2903 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(477,plain,
! [SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY2904: $i,SY2905: $i,SY2906: $i,SY2907: $i,SY2908: $i,SY2909: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SY2904 @ SY2905 @ ( e1 @ SY2906 @ SY2907 ) @ ( e2 @ SY2908 @ SY2909 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SY2904 @ SY2905 @ ( e1 @ SY2908 @ SY2909 ) @ ( e2 @ SY2906 @ SY2907 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(478,plain,
! [SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY2910: $i,SY2911: $i,SY2912: $i] :
( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SV213 @ SV255 @ SV297 @ SV339 @ SY2910 @ SY2911 @ SY2912 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(479,plain,
! [SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY2913: $i,SY2914: $i,SY2915: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SY2913 @ SY2914 @ ( e1 @ SV256 @ ( s @ SV298 ) ) @ SY2915 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ ( s @ SV298 ) ) @ SV340 @ SY2913 @ SY2914 @ ( e1 @ SV256 @ SV298 ) @ SY2915 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(480,plain,
! [SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY2916: $i,SY2917: $i,SY2918: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ ( s @ SV299 ) ) @ SV341 @ SY2916 @ SY2917 @ ( e1 @ SV257 @ SV299 ) @ SY2918 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SY2916 @ SY2917 @ ( e1 @ SV257 @ ( s @ SV299 ) ) @ SY2918 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(481,plain,
! [SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY2919: $i,SY2920: $i,SY2921: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ SV258 @ SV300 ) @ SV342 @ SY2919 @ SY2920 @ ( e1 @ ( s @ SV258 ) @ SV300 ) @ SY2921 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ ( s @ SV258 ) @ SV300 ) @ SV342 @ SY2919 @ SY2920 @ ( e1 @ SV258 @ SV300 ) @ SY2921 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(482,plain,
! [SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY2922: $i,SY2923: $i,SY2924: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ ( s @ SV259 ) @ SV301 ) @ SV343 @ SY2922 @ SY2923 @ ( e1 @ SV259 @ SV301 ) @ SY2924 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ SV259 @ SV301 ) @ SV343 @ SY2922 @ SY2923 @ ( e1 @ ( s @ SV259 ) @ SV301 ) @ SY2924 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(483,plain,
! [SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY2925: $i,SY2926: $i,SY2927: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SY2925 @ SY2926 @ ( e1 @ SV302 @ ( s @ SV344 ) ) @ SY2927 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ ( s @ SV344 ) ) @ SY2925 @ SY2926 @ ( e1 @ SV302 @ SV344 ) @ SY2927 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(484,plain,
! [SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY2928: $i,SY2929: $i,SY2930: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ ( s @ SV345 ) ) @ SY2928 @ SY2929 @ ( e1 @ SV303 @ SV345 ) @ SY2930 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SY2928 @ SY2929 @ ( e1 @ SV303 @ ( s @ SV345 ) ) @ SY2930 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(485,plain,
! [SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY2931: $i,SY2932: $i,SY2933: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ SV304 @ SV346 ) @ SY2931 @ SY2932 @ ( e1 @ ( s @ SV304 ) @ SV346 ) @ SY2933 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ ( s @ SV304 ) @ SV346 ) @ SY2931 @ SY2932 @ ( e1 @ SV304 @ SV346 ) @ SY2933 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(486,plain,
! [SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY2934: $i,SY2935: $i,SY2936: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ ( s @ SV305 ) @ SV347 ) @ SY2934 @ SY2935 @ ( e1 @ SV305 @ SV347 ) @ SY2936 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ SV305 @ SV347 ) @ SY2934 @ SY2935 @ ( e1 @ ( s @ SV305 ) @ SV347 ) @ SY2936 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(487,plain,
! [SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY2937: $i,SY2938: $i,SY2939: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SY2937 ) @ SY2938 @ ( e1 @ SV348 @ ( s @ SY2937 ) ) @ SY2939 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ ( s @ SY2937 ) ) @ SY2938 @ ( e1 @ SV348 @ SY2937 ) @ SY2939 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(488,plain,
! [SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY2940: $i,SY2941: $i,SY2942: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ ( s @ SY2940 ) ) @ SY2941 @ ( e1 @ SV349 @ SY2940 ) @ SY2942 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SY2940 ) @ SY2941 @ ( e1 @ SV349 @ ( s @ SY2940 ) ) @ SY2942 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(489,plain,
! [SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY2943: $i,SY2944: $i,SY2945: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ SV350 @ SY2943 ) @ SY2944 @ ( e1 @ ( s @ SV350 ) @ SY2943 ) @ SY2945 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ ( s @ SV350 ) @ SY2943 ) @ SY2944 @ ( e1 @ SV350 @ SY2943 ) @ SY2945 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(490,plain,
! [SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY2946: $i,SY2947: $i,SY2948: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ ( s @ SV351 ) @ SY2946 ) @ SY2947 @ ( e1 @ SV351 @ SY2946 ) @ SY2948 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ SV351 @ SY2946 ) @ SY2947 @ ( e1 @ ( s @ SV351 ) @ SY2946 ) @ SY2948 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(491,plain,
! [SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY2949: $i,SY2950: $i,SY2951: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SY2949 @ SY2950 ) @ ( e1 @ SY2949 @ ( s @ SY2950 ) ) @ SY2951 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SY2949 @ ( s @ SY2950 ) ) @ ( e1 @ SY2949 @ SY2950 ) @ SY2951 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(492,plain,
! [SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY2952: $i,SY2953: $i,SY2954: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SY2952 @ ( s @ SY2953 ) ) @ ( e1 @ SY2952 @ SY2953 ) @ SY2954 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SY2952 @ SY2953 ) @ ( e1 @ SY2952 @ ( s @ SY2953 ) ) @ SY2954 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(493,plain,
! [SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY2955: $i,SY2956: $i,SY2957: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ ( s4 @ SY2955 @ SY2956 ) @ ( e1 @ ( s @ SY2955 ) @ SY2956 ) @ SY2957 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ ( s4 @ ( s @ SY2955 ) @ SY2956 ) @ ( e1 @ SY2955 @ SY2956 ) @ SY2957 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(494,plain,
! [SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY2958: $i,SY2959: $i,SY2960: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ ( s4 @ ( s @ SY2958 ) @ SY2959 ) @ ( e1 @ SY2958 @ SY2959 ) @ SY2960 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ ( s4 @ SY2958 @ SY2959 ) @ ( e1 @ ( s @ SY2958 ) @ SY2959 ) @ SY2960 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(495,plain,
! [SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY2961: $i,SY2962: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SY2961 @ SY2962 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SY2961 @ SY2962 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(496,plain,
! [SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV62: $i,SV19: $i] :
( ( ! [SY2963: $i,SY2964: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SY2963 @ SY2964 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SY2963 @ SY2964 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(497,plain,
! [SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY2965: $i,SY2966: $i,SY2967: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SY2965 @ SY2966 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY2967 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SY2965 @ SY2966 @ ( e1 @ SV63 @ SV106 ) @ SY2967 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(498,plain,
! [SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY2968: $i,SY2969: $i,SY2970: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SY2968 @ SY2969 @ ( e1 @ SV64 @ SV107 ) @ SY2970 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SY2968 @ SY2969 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY2970 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(499,plain,
! [SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY2971: $i,SY2972: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SY2971 @ SY2972 @ ( e1 @ SV108 @ ( s @ SV150 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SV150 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SV150 ) ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SY2971 @ SY2972 @ ( e1 @ SV108 @ SV150 ) @ ( e2 @ ( s @ SV108 ) @ SV150 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(500,plain,
! [SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY2973: $i,SY2974: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SV151 ) ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SY2973 @ SY2974 @ ( e1 @ SV109 @ SV151 ) @ ( e2 @ ( s @ SV109 ) @ SV151 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SY2973 @ SY2974 @ ( e1 @ SV109 @ ( s @ SV151 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SV151 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(501,plain,
! [SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY2975: $i,SY2976: $i,SY2977: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SV362 @ SY2975 @ SY2976 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SY2977 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SV362 @ SY2975 @ SY2976 @ ( e1 @ SV110 @ SV152 ) @ SY2977 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(502,plain,
! [SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY2978: $i,SY2979: $i,SY2980: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SV363 @ SY2978 @ SY2979 @ ( e1 @ SV111 @ SV153 ) @ SY2980 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SV363 @ SY2978 @ SY2979 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SY2980 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(503,plain,
! [SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY2981: $i,SY2982: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SY2981 @ SY2982 @ ( e1 @ SV154 @ ( s @ SV196 ) ) @ ( e2 @ ( s @ SV154 ) @ ( s @ SV196 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ ( s @ SV196 ) ) @ SV238 @ SV280 @ SV322 @ SV364 @ SY2981 @ SY2982 @ ( e1 @ SV154 @ SV196 ) @ ( e2 @ ( s @ SV154 ) @ SV196 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(504,plain,
! [SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY2983: $i,SY2984: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ ( s @ SV197 ) ) @ SV239 @ SV281 @ SV323 @ SV365 @ SY2983 @ SY2984 @ ( e1 @ SV155 @ SV197 ) @ ( e2 @ ( s @ SV155 ) @ SV197 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SY2983 @ SY2984 @ ( e1 @ SV155 @ ( s @ SV197 ) ) @ ( e2 @ ( s @ SV155 ) @ ( s @ SV197 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(505,plain,
! [SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY2985: $i,SY2986: $i,SY2987: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SV198 ) @ SV240 @ SV282 @ SV324 @ SV366 @ SY2985 @ SY2986 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SV198 ) @ SY2987 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SV198 ) @ SV240 @ SV282 @ SV324 @ SV366 @ SY2985 @ SY2986 @ ( e1 @ SV156 @ SV198 ) @ SY2987 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(506,plain,
! [SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY2988: $i,SY2989: $i,SY2990: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SV199 ) @ SV241 @ SV283 @ SV325 @ SV367 @ SY2988 @ SY2989 @ ( e1 @ SV157 @ SV199 ) @ SY2990 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SV199 ) @ SV241 @ SV283 @ SV325 @ SV367 @ SY2988 @ SY2989 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SV199 ) @ SY2990 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(507,plain,
! [SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV73: $i,SV30: $i] :
( ( ! [SY2991: $i,SY2992: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SY2991 @ SY2992 @ ( e1 @ SV200 @ ( s @ SV242 ) ) @ ( e2 @ ( s @ SV200 ) @ ( s @ SV242 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ ( s @ SV242 ) ) @ SV284 @ SV326 @ SV368 @ SY2991 @ SY2992 @ ( e1 @ SV200 @ SV242 ) @ ( e2 @ ( s @ SV200 ) @ SV242 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(508,plain,
! [SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV74: $i,SV31: $i] :
( ( ! [SY2993: $i,SY2994: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ ( s @ SV243 ) ) @ SV285 @ SV327 @ SV369 @ SY2993 @ SY2994 @ ( e1 @ SV201 @ SV243 ) @ ( e2 @ ( s @ SV201 ) @ SV243 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SY2993 @ SY2994 @ ( e1 @ SV201 @ ( s @ SV243 ) ) @ ( e2 @ ( s @ SV201 ) @ ( s @ SV243 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(509,plain,
! [SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY2995: $i,SY2996: $i,SY2997: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SV202 @ SV244 ) @ SV286 @ SV328 @ SV370 @ SY2995 @ SY2996 @ ( e1 @ ( s @ ( s @ SV202 ) ) @ SV244 ) @ SY2997 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SV202 ) @ SV244 ) @ SV286 @ SV328 @ SV370 @ SY2995 @ SY2996 @ ( e1 @ SV202 @ SV244 ) @ SY2997 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(510,plain,
! [SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY2998: $i,SY2999: $i,SY3000: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SV203 ) @ SV245 ) @ SV287 @ SV329 @ SV371 @ SY2998 @ SY2999 @ ( e1 @ SV203 @ SV245 ) @ SY3000 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SV203 @ SV245 ) @ SV287 @ SV329 @ SV371 @ SY2998 @ SY2999 @ ( e1 @ ( s @ ( s @ SV203 ) ) @ SV245 ) @ SY3000 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(511,plain,
! [SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY3001: $i,SY3002: $i,SY3003: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SY3001 @ SY3002 @ ( e1 @ SV246 @ ( s @ ( s @ SV288 ) ) ) @ SY3003 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ ( s @ SV288 ) ) @ SV330 @ SV372 @ SY3001 @ SY3002 @ ( e1 @ SV246 @ SV288 ) @ SY3003 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(512,plain,
! [SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY3004: $i,SY3005: $i,SY3006: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ ( s @ SV289 ) ) @ SV331 @ SV373 @ SY3004 @ SY3005 @ ( e1 @ SV247 @ SV289 ) @ SY3006 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SY3004 @ SY3005 @ ( e1 @ SV247 @ ( s @ ( s @ SV289 ) ) ) @ SY3006 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(513,plain,
! [SV374: $i,SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV79: $i,SV36: $i] :
( ( ! [SY3007: $i,SY3008: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ SV248 @ SV290 ) @ SV332 @ SV374 @ SY3007 @ SY3008 @ ( e1 @ ( s @ SV248 ) @ SV290 ) @ ( e2 @ ( s @ SV248 ) @ ( s @ SV290 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ ( s @ SV248 ) @ SV290 ) @ SV332 @ SV374 @ SY3007 @ SY3008 @ ( e1 @ SV248 @ SV290 ) @ ( e2 @ SV248 @ ( s @ SV290 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(514,plain,
! [SV375: $i,SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY3009: $i,SY3010: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ ( s @ SV249 ) @ SV291 ) @ SV333 @ SV375 @ SY3009 @ SY3010 @ ( e1 @ SV249 @ SV291 ) @ ( e2 @ SV249 @ ( s @ SV291 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ SV249 @ SV291 ) @ SV333 @ SV375 @ SY3009 @ SY3010 @ ( e1 @ ( s @ SV249 ) @ SV291 ) @ ( e2 @ ( s @ SV249 ) @ ( s @ SV291 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(515,plain,
! [SV376: $i,SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV81: $i,SV38: $i] :
( ( ! [SY3011: $i,SY3012: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SY3011 @ SY3012 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SY3011 @ SY3012 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(516,plain,
! [SV377: $i,SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY3013: $i,SY3014: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SY3013 @ SY3014 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SY3013 @ SY3014 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(517,plain,
! [SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY3015: $i,SY3016: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SY3015 @ SY3016 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SY3015 @ SY3016 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(518,plain,
! [SV379: $i,SV337: $i,SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY3017: $i,SY3018: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SY3017 @ SY3018 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SY3017 @ SY3018 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(519,plain,
! [SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY3019: $i,SY3020: $i,SY3021: $i,SY3022: $i,SY3023: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SY3019 @ ( e1 @ SY3020 @ SY3021 ) @ ( e2 @ SY3022 @ SY3023 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SY3019 @ ( e1 @ SY3022 @ SY3023 ) @ ( e2 @ SY3020 @ SY3021 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(520,plain,
! [SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY3024: $i,SY3025: $i] :
( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SV213 @ SV255 @ SV297 @ SV339 @ SV381 @ SY3024 @ SY3025 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(521,plain,
! [SV382: $i,SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY3026: $i,SY3027: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SV382 @ SY3026 @ ( e1 @ SV256 @ ( s @ SV298 ) ) @ SY3027 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ ( s @ SV298 ) ) @ SV340 @ SV382 @ SY3026 @ ( e1 @ SV256 @ SV298 ) @ SY3027 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(522,plain,
! [SV383: $i,SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY3028: $i,SY3029: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ ( s @ SV299 ) ) @ SV341 @ SV383 @ SY3028 @ ( e1 @ SV257 @ SV299 ) @ SY3029 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SV383 @ SY3028 @ ( e1 @ SV257 @ ( s @ SV299 ) ) @ SY3029 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(523,plain,
! [SV384: $i,SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY3030: $i,SY3031: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ SV258 @ SV300 ) @ SV342 @ SV384 @ SY3030 @ ( e1 @ ( s @ SV258 ) @ SV300 ) @ SY3031 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ ( s @ SV258 ) @ SV300 ) @ SV342 @ SV384 @ SY3030 @ ( e1 @ SV258 @ SV300 ) @ SY3031 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(524,plain,
! [SV385: $i,SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY3032: $i,SY3033: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ ( s @ SV259 ) @ SV301 ) @ SV343 @ SV385 @ SY3032 @ ( e1 @ SV259 @ SV301 ) @ SY3033 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ SV259 @ SV301 ) @ SV343 @ SV385 @ SY3032 @ ( e1 @ ( s @ SV259 ) @ SV301 ) @ SY3033 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(525,plain,
! [SV386: $i,SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY3034: $i,SY3035: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SV386 @ SY3034 @ ( e1 @ SV302 @ ( s @ SV344 ) ) @ SY3035 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ ( s @ SV344 ) ) @ SV386 @ SY3034 @ ( e1 @ SV302 @ SV344 ) @ SY3035 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(526,plain,
! [SV387: $i,SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY3036: $i,SY3037: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ ( s @ SV345 ) ) @ SV387 @ SY3036 @ ( e1 @ SV303 @ SV345 ) @ SY3037 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SV387 @ SY3036 @ ( e1 @ SV303 @ ( s @ SV345 ) ) @ SY3037 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(527,plain,
! [SV388: $i,SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY3038: $i,SY3039: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ SV304 @ SV346 ) @ SV388 @ SY3038 @ ( e1 @ ( s @ SV304 ) @ SV346 ) @ SY3039 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ ( s @ SV304 ) @ SV346 ) @ SV388 @ SY3038 @ ( e1 @ SV304 @ SV346 ) @ SY3039 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(528,plain,
! [SV389: $i,SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY3040: $i,SY3041: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ ( s @ SV305 ) @ SV347 ) @ SV389 @ SY3040 @ ( e1 @ SV305 @ SV347 ) @ SY3041 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ SV305 @ SV347 ) @ SV389 @ SY3040 @ ( e1 @ ( s @ SV305 ) @ SV347 ) @ SY3041 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(529,plain,
! [SV390: $i,SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY3042: $i,SY3043: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SV390 ) @ SY3042 @ ( e1 @ SV348 @ ( s @ SV390 ) ) @ SY3043 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ ( s @ SV390 ) ) @ SY3042 @ ( e1 @ SV348 @ SV390 ) @ SY3043 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(530,plain,
! [SV391: $i,SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY3044: $i,SY3045: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ ( s @ SV391 ) ) @ SY3044 @ ( e1 @ SV349 @ SV391 ) @ SY3045 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SV391 ) @ SY3044 @ ( e1 @ SV349 @ ( s @ SV391 ) ) @ SY3045 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(531,plain,
! [SV392: $i,SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY3046: $i,SY3047: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ SV350 @ SV392 ) @ SY3046 @ ( e1 @ ( s @ SV350 ) @ SV392 ) @ SY3047 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ ( s @ SV350 ) @ SV392 ) @ SY3046 @ ( e1 @ SV350 @ SV392 ) @ SY3047 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(532,plain,
! [SV393: $i,SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY3048: $i,SY3049: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ ( s @ SV351 ) @ SV393 ) @ SY3048 @ ( e1 @ SV351 @ SV393 ) @ SY3049 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ SV351 @ SV393 ) @ SY3048 @ ( e1 @ ( s @ SV351 ) @ SV393 ) @ SY3049 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(533,plain,
! [SV394: $i,SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY3050: $i,SY3051: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ SY3050 ) @ ( e1 @ SV394 @ ( s @ SY3050 ) ) @ SY3051 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ ( s @ SY3050 ) ) @ ( e1 @ SV394 @ SY3050 ) @ SY3051 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(534,plain,
! [SV395: $i,SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY3052: $i,SY3053: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ ( s @ SY3052 ) ) @ ( e1 @ SV395 @ SY3052 ) @ SY3053 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ SY3052 ) @ ( e1 @ SV395 @ ( s @ SY3052 ) ) @ SY3053 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(535,plain,
! [SV396: $i,SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY3054: $i,SY3055: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ ( s4 @ SV396 @ SY3054 ) @ ( e1 @ ( s @ SV396 ) @ SY3054 ) @ SY3055 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ ( s4 @ ( s @ SV396 ) @ SY3054 ) @ ( e1 @ SV396 @ SY3054 ) @ SY3055 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(536,plain,
! [SV397: $i,SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY3056: $i,SY3057: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ ( s4 @ ( s @ SV397 ) @ SY3056 ) @ ( e1 @ SV397 @ SY3056 ) @ SY3057 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ ( s4 @ SV397 @ SY3056 ) @ ( e1 @ ( s @ SV397 ) @ SY3056 ) @ SY3057 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(537,plain,
! [SV398: $i,SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY3058: $i] :
( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SY3058 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SY3058 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(538,plain,
! [SV399: $i,SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV62: $i,SV19: $i] :
( ( ! [SY3059: $i] :
( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SY3059 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SY3059 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(539,plain,
! [SV400: $i,SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY3060: $i,SY3061: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SY3060 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY3061 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SY3060 @ ( e1 @ SV63 @ SV106 ) @ SY3061 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(540,plain,
! [SV401: $i,SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY3062: $i,SY3063: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SY3062 @ ( e1 @ SV64 @ SV107 ) @ SY3063 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SY3062 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY3063 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(541,plain,
! [SV402: $i,SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY3064: $i] :
( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SY3064 @ ( e1 @ SV108 @ ( s @ SV150 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SV150 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SV150 ) ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SY3064 @ ( e1 @ SV108 @ SV150 ) @ ( e2 @ ( s @ SV108 ) @ SV150 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(542,plain,
! [SV403: $i,SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY3065: $i] :
( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SV151 ) ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SY3065 @ ( e1 @ SV109 @ SV151 ) @ ( e2 @ ( s @ SV109 ) @ SV151 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SY3065 @ ( e1 @ SV109 @ ( s @ SV151 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SV151 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(543,plain,
! [SV404: $i,SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY3066: $i,SY3067: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SY3066 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SY3067 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SY3066 @ ( e1 @ SV110 @ SV152 ) @ SY3067 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(544,plain,
! [SV405: $i,SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY3068: $i,SY3069: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SY3068 @ ( e1 @ SV111 @ SV153 ) @ SY3069 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SY3068 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SY3069 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(545,plain,
! [SV406: $i,SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY3070: $i] :
( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SY3070 @ ( e1 @ SV154 @ ( s @ SV196 ) ) @ ( e2 @ ( s @ SV154 ) @ ( s @ SV196 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ ( s @ SV196 ) ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SY3070 @ ( e1 @ SV154 @ SV196 ) @ ( e2 @ ( s @ SV154 ) @ SV196 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(546,plain,
! [SV407: $i,SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY3071: $i] :
( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ ( s @ SV197 ) ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SY3071 @ ( e1 @ SV155 @ SV197 ) @ ( e2 @ ( s @ SV155 ) @ SV197 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SY3071 @ ( e1 @ SV155 @ ( s @ SV197 ) ) @ ( e2 @ ( s @ SV155 ) @ ( s @ SV197 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(547,plain,
! [SV408: $i,SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY3072: $i,SY3073: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SV198 ) @ SV240 @ SV282 @ SV324 @ SV366 @ SV408 @ SY3072 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SV198 ) @ SY3073 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SV198 ) @ SV240 @ SV282 @ SV324 @ SV366 @ SV408 @ SY3072 @ ( e1 @ SV156 @ SV198 ) @ SY3073 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(548,plain,
! [SV409: $i,SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY3074: $i,SY3075: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SV199 ) @ SV241 @ SV283 @ SV325 @ SV367 @ SV409 @ SY3074 @ ( e1 @ SV157 @ SV199 ) @ SY3075 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SV199 ) @ SV241 @ SV283 @ SV325 @ SV367 @ SV409 @ SY3074 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SV199 ) @ SY3075 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(549,plain,
! [SV410: $i,SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV73: $i,SV30: $i] :
( ( ! [SY3076: $i] :
( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SY3076 @ ( e1 @ SV200 @ ( s @ SV242 ) ) @ ( e2 @ ( s @ SV200 ) @ ( s @ SV242 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ ( s @ SV242 ) ) @ SV284 @ SV326 @ SV368 @ SV410 @ SY3076 @ ( e1 @ SV200 @ SV242 ) @ ( e2 @ ( s @ SV200 ) @ SV242 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(550,plain,
! [SV411: $i,SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV74: $i,SV31: $i] :
( ( ! [SY3077: $i] :
( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ ( s @ SV243 ) ) @ SV285 @ SV327 @ SV369 @ SV411 @ SY3077 @ ( e1 @ SV201 @ SV243 ) @ ( e2 @ ( s @ SV201 ) @ SV243 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SY3077 @ ( e1 @ SV201 @ ( s @ SV243 ) ) @ ( e2 @ ( s @ SV201 ) @ ( s @ SV243 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(551,plain,
! [SV412: $i,SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY3078: $i,SY3079: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SV202 @ SV244 ) @ SV286 @ SV328 @ SV370 @ SV412 @ SY3078 @ ( e1 @ ( s @ ( s @ SV202 ) ) @ SV244 ) @ SY3079 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SV202 ) @ SV244 ) @ SV286 @ SV328 @ SV370 @ SV412 @ SY3078 @ ( e1 @ SV202 @ SV244 ) @ SY3079 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(552,plain,
! [SV413: $i,SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY3080: $i,SY3081: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SV203 ) @ SV245 ) @ SV287 @ SV329 @ SV371 @ SV413 @ SY3080 @ ( e1 @ SV203 @ SV245 ) @ SY3081 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SV203 @ SV245 ) @ SV287 @ SV329 @ SV371 @ SV413 @ SY3080 @ ( e1 @ ( s @ ( s @ SV203 ) ) @ SV245 ) @ SY3081 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(553,plain,
! [SV414: $i,SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY3082: $i,SY3083: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SV414 @ SY3082 @ ( e1 @ SV246 @ ( s @ ( s @ SV288 ) ) ) @ SY3083 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ ( s @ SV288 ) ) @ SV330 @ SV372 @ SV414 @ SY3082 @ ( e1 @ SV246 @ SV288 ) @ SY3083 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(554,plain,
! [SV415: $i,SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY3084: $i,SY3085: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ ( s @ SV289 ) ) @ SV331 @ SV373 @ SV415 @ SY3084 @ ( e1 @ SV247 @ SV289 ) @ SY3085 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SV415 @ SY3084 @ ( e1 @ SV247 @ ( s @ ( s @ SV289 ) ) ) @ SY3085 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(555,plain,
! [SV416: $i,SV374: $i,SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV79: $i,SV36: $i] :
( ( ! [SY3086: $i] :
( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ SV248 @ SV290 ) @ SV332 @ SV374 @ SV416 @ SY3086 @ ( e1 @ ( s @ SV248 ) @ SV290 ) @ ( e2 @ ( s @ SV248 ) @ ( s @ SV290 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ ( s @ SV248 ) @ SV290 ) @ SV332 @ SV374 @ SV416 @ SY3086 @ ( e1 @ SV248 @ SV290 ) @ ( e2 @ SV248 @ ( s @ SV290 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(556,plain,
! [SV417: $i,SV375: $i,SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY3087: $i] :
( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ ( s @ SV249 ) @ SV291 ) @ SV333 @ SV375 @ SV417 @ SY3087 @ ( e1 @ SV249 @ SV291 ) @ ( e2 @ SV249 @ ( s @ SV291 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ SV249 @ SV291 ) @ SV333 @ SV375 @ SV417 @ SY3087 @ ( e1 @ ( s @ SV249 ) @ SV291 ) @ ( e2 @ ( s @ SV249 ) @ ( s @ SV291 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(557,plain,
! [SV418: $i,SV376: $i,SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV81: $i,SV38: $i] :
( ( ! [SY3088: $i] :
( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SY3088 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SY3088 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(558,plain,
! [SV419: $i,SV377: $i,SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY3089: $i] :
( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SY3089 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SY3089 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(559,plain,
! [SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY3090: $i] :
( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ SY3090 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ SY3090 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(560,plain,
! [SV421: $i,SV379: $i,SV337: $i,SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY3091: $i] :
( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SV421 @ SY3091 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SV421 @ SY3091 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(561,plain,
! [SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY3092: $i,SY3093: $i,SY3094: $i,SY3095: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SY3092 @ SY3093 ) @ ( e2 @ SY3094 @ SY3095 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SY3094 @ SY3095 ) @ ( e2 @ SY3092 @ SY3093 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(562,plain,
! [SV423: $i,SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY3096: $i] :
( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SV213 @ SV255 @ SV297 @ SV339 @ SV381 @ SV423 @ SY3096 )
!= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(563,plain,
! [SV424: $i,SV382: $i,SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY3097: $i] :
( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ SV256 @ ( s @ SV298 ) ) @ SY3097 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ ( s @ SV298 ) ) @ SV340 @ SV382 @ SV424 @ ( e1 @ SV256 @ SV298 ) @ SY3097 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(564,plain,
! [SV425: $i,SV383: $i,SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY3098: $i] :
( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ ( s @ SV299 ) ) @ SV341 @ SV383 @ SV425 @ ( e1 @ SV257 @ SV299 ) @ SY3098 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ SV257 @ ( s @ SV299 ) ) @ SY3098 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(565,plain,
! [SV426: $i,SV384: $i,SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY3099: $i] :
( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ SV258 @ SV300 ) @ SV342 @ SV384 @ SV426 @ ( e1 @ ( s @ SV258 ) @ SV300 ) @ SY3099 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ ( s @ SV258 ) @ SV300 ) @ SV342 @ SV384 @ SV426 @ ( e1 @ SV258 @ SV300 ) @ SY3099 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(566,plain,
! [SV427: $i,SV385: $i,SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY3100: $i] :
( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ ( s @ SV259 ) @ SV301 ) @ SV343 @ SV385 @ SV427 @ ( e1 @ SV259 @ SV301 ) @ SY3100 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ SV259 @ SV301 ) @ SV343 @ SV385 @ SV427 @ ( e1 @ ( s @ SV259 ) @ SV301 ) @ SY3100 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(567,plain,
! [SV428: $i,SV386: $i,SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ! [SY3101: $i] :
( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SV386 @ SV428 @ ( e1 @ SV302 @ ( s @ SV344 ) ) @ SY3101 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ ( s @ SV344 ) ) @ SV386 @ SV428 @ ( e1 @ SV302 @ SV344 ) @ SY3101 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(568,plain,
! [SV429: $i,SV387: $i,SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY3102: $i] :
( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ ( s @ SV345 ) ) @ SV387 @ SV429 @ ( e1 @ SV303 @ SV345 ) @ SY3102 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SV387 @ SV429 @ ( e1 @ SV303 @ ( s @ SV345 ) ) @ SY3102 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(569,plain,
! [SV430: $i,SV388: $i,SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ! [SY3103: $i] :
( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ SV304 @ SV346 ) @ SV388 @ SV430 @ ( e1 @ ( s @ SV304 ) @ SV346 ) @ SY3103 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ ( s @ SV304 ) @ SV346 ) @ SV388 @ SV430 @ ( e1 @ SV304 @ SV346 ) @ SY3103 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(570,plain,
! [SV431: $i,SV389: $i,SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY3104: $i] :
( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ ( s @ SV305 ) @ SV347 ) @ SV389 @ SV431 @ ( e1 @ SV305 @ SV347 ) @ SY3104 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ SV305 @ SV347 ) @ SV389 @ SV431 @ ( e1 @ ( s @ SV305 ) @ SV347 ) @ SY3104 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(571,plain,
! [SV432: $i,SV390: $i,SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ! [SY3105: $i] :
( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SV390 ) @ SV432 @ ( e1 @ SV348 @ ( s @ SV390 ) ) @ SY3105 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ ( s @ SV390 ) ) @ SV432 @ ( e1 @ SV348 @ SV390 ) @ SY3105 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(572,plain,
! [SV433: $i,SV391: $i,SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ! [SY3106: $i] :
( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ ( s @ SV391 ) ) @ SV433 @ ( e1 @ SV349 @ SV391 ) @ SY3106 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SV391 ) @ SV433 @ ( e1 @ SV349 @ ( s @ SV391 ) ) @ SY3106 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(573,plain,
! [SV434: $i,SV392: $i,SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY3107: $i] :
( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ SV350 @ SV392 ) @ SV434 @ ( e1 @ ( s @ SV350 ) @ SV392 ) @ SY3107 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ ( s @ SV350 ) @ SV392 ) @ SV434 @ ( e1 @ SV350 @ SV392 ) @ SY3107 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(574,plain,
! [SV435: $i,SV393: $i,SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY3108: $i] :
( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ ( s @ SV351 ) @ SV393 ) @ SV435 @ ( e1 @ SV351 @ SV393 ) @ SY3108 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ SV351 @ SV393 ) @ SV435 @ ( e1 @ ( s @ SV351 ) @ SV393 ) @ SY3108 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(575,plain,
! [SV436: $i,SV394: $i,SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY3109: $i] :
( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ SV436 ) @ ( e1 @ SV394 @ ( s @ SV436 ) ) @ SY3109 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ ( s @ SV436 ) ) @ ( e1 @ SV394 @ SV436 ) @ SY3109 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(576,plain,
! [SV437: $i,SV395: $i,SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY3110: $i] :
( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ ( s @ SV437 ) ) @ ( e1 @ SV395 @ SV437 ) @ SY3110 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ SV437 ) @ ( e1 @ SV395 @ ( s @ SV437 ) ) @ SY3110 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(577,plain,
! [SV438: $i,SV396: $i,SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY3111: $i] :
( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ ( s4 @ SV396 @ SV438 ) @ ( e1 @ ( s @ SV396 ) @ SV438 ) @ SY3111 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ ( s4 @ ( s @ SV396 ) @ SV438 ) @ ( e1 @ SV396 @ SV438 ) @ SY3111 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(578,plain,
! [SV439: $i,SV397: $i,SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY3112: $i] :
( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ ( s4 @ ( s @ SV397 ) @ SV439 ) @ ( e1 @ SV397 @ SV439 ) @ SY3112 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ ( s4 @ SV397 @ SV439 ) @ ( e1 @ ( s @ SV397 ) @ SV439 ) @ SY3112 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(579,plain,
! [SV440: $i,SV398: $i,SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ( ifeq @ ( state @ SV18 @ ( v1 @ SV61 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ SV61 @ ( s @ SV104 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV104 ) ) ) @ true @ ( state @ SV18 @ ( v1 @ SV61 @ ( s @ SV104 ) ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ SV61 @ SV104 ) @ ( e2 @ ( s @ SV61 ) @ SV104 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(580,plain,
! [SV441: $i,SV399: $i,SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV62: $i,SV19: $i] :
( ( ( ifeq @ ( state @ SV19 @ ( v1 @ SV62 @ ( s @ SV105 ) ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ SV62 @ SV105 ) @ ( e2 @ ( s @ SV62 ) @ SV105 ) ) @ true @ ( state @ SV19 @ ( v1 @ SV62 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ SV62 @ ( s @ SV105 ) ) @ ( e2 @ ( s @ SV62 ) @ ( s @ SV105 ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(581,plain,
! [SV442: $i,SV400: $i,SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY3113: $i] :
( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SY3113 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ SV63 @ SV106 ) @ SY3113 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(582,plain,
! [SV443: $i,SV401: $i,SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ! [SY3114: $i] :
( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ SV64 @ SV107 ) @ SY3114 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SY3114 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(583,plain,
! [SV444: $i,SV402: $i,SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ( ifeq @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ SV108 @ ( s @ SV150 ) ) @ ( e2 @ ( s @ SV108 ) @ ( s @ SV150 ) ) ) @ true @ ( state @ SV22 @ SV65 @ ( v2 @ SV108 @ ( s @ SV150 ) ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ SV108 @ SV150 ) @ ( e2 @ ( s @ SV108 ) @ SV150 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(584,plain,
! [SV445: $i,SV403: $i,SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ( ifeq @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ ( s @ SV151 ) ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ SV109 @ SV151 ) @ ( e2 @ ( s @ SV109 ) @ SV151 ) ) @ true @ ( state @ SV23 @ SV66 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ SV109 @ ( s @ SV151 ) ) @ ( e2 @ ( s @ SV109 ) @ ( s @ SV151 ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(585,plain,
! [SV446: $i,SV404: $i,SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ! [SY3115: $i] :
( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SY3115 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ SV110 @ SV152 ) @ SY3115 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(586,plain,
! [SV447: $i,SV405: $i,SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY3116: $i] :
( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ SV111 @ SV153 ) @ SY3116 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SY3116 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(587,plain,
! [SV448: $i,SV406: $i,SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ( ifeq @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ SV154 @ ( s @ SV196 ) ) @ ( e2 @ ( s @ SV154 ) @ ( s @ SV196 ) ) ) @ true @ ( state @ SV26 @ SV69 @ SV112 @ ( v3 @ SV154 @ ( s @ SV196 ) ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ SV154 @ SV196 ) @ ( e2 @ ( s @ SV154 ) @ SV196 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(588,plain,
! [SV449: $i,SV407: $i,SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ( ifeq @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ ( s @ SV197 ) ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ SV155 @ SV197 ) @ ( e2 @ ( s @ SV155 ) @ SV197 ) ) @ true @ ( state @ SV27 @ SV70 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ SV155 @ ( s @ SV197 ) ) @ ( e2 @ ( s @ SV155 ) @ ( s @ SV197 ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(589,plain,
! [SV450: $i,SV408: $i,SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ! [SY3117: $i] :
( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SV198 ) @ SV240 @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SV198 ) @ SY3117 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SV198 ) @ SV240 @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ SV156 @ SV198 ) @ SY3117 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(590,plain,
! [SV451: $i,SV409: $i,SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ! [SY3118: $i] :
( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SV199 ) @ SV241 @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ SV157 @ SV199 ) @ SY3118 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SV199 ) @ SV241 @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SV199 ) @ SY3118 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(591,plain,
! [SV452: $i,SV410: $i,SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV73: $i,SV30: $i] :
( ( ( ifeq @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ SV200 @ ( s @ SV242 ) ) @ ( e2 @ ( s @ SV200 ) @ ( s @ SV242 ) ) ) @ true @ ( state @ SV30 @ SV73 @ SV116 @ SV158 @ ( v4 @ SV200 @ ( s @ SV242 ) ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ SV200 @ SV242 ) @ ( e2 @ ( s @ SV200 ) @ SV242 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(592,plain,
! [SV453: $i,SV411: $i,SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV74: $i,SV31: $i] :
( ( ( ifeq @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ ( s @ SV243 ) ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ SV201 @ SV243 ) @ ( e2 @ ( s @ SV201 ) @ SV243 ) ) @ true @ ( state @ SV31 @ SV74 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ SV201 @ ( s @ SV243 ) ) @ ( e2 @ ( s @ SV201 ) @ ( s @ SV243 ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(593,plain,
! [SV454: $i,SV412: $i,SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY3119: $i] :
( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SV202 @ SV244 ) @ SV286 @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ ( s @ ( s @ SV202 ) ) @ SV244 ) @ SY3119 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SV202 ) @ SV244 ) @ SV286 @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV202 @ SV244 ) @ SY3119 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(594,plain,
! [SV455: $i,SV413: $i,SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY3120: $i] :
( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SV203 ) @ SV245 ) @ SV287 @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV203 @ SV245 ) @ SY3120 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SV203 @ SV245 ) @ SV287 @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ ( s @ ( s @ SV203 ) ) @ SV245 ) @ SY3120 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(595,plain,
! [SV456: $i,SV414: $i,SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ! [SY3121: $i] :
( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ SV246 @ ( s @ ( s @ SV288 ) ) ) @ SY3121 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ ( s @ SV288 ) ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ SV246 @ SV288 ) @ SY3121 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(596,plain,
! [SV457: $i,SV415: $i,SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ! [SY3122: $i] :
( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ ( s @ SV289 ) ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ SV247 @ SV289 ) @ SY3122 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ SV247 @ ( s @ ( s @ SV289 ) ) ) @ SY3122 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(597,plain,
! [SV458: $i,SV416: $i,SV374: $i,SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV79: $i,SV36: $i] :
( ( ( ifeq @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ SV248 @ SV290 ) @ SV332 @ SV374 @ SV416 @ SV458 @ ( e1 @ ( s @ SV248 ) @ SV290 ) @ ( e2 @ ( s @ SV248 ) @ ( s @ SV290 ) ) ) @ true @ ( state @ SV36 @ SV79 @ SV122 @ SV164 @ SV206 @ ( h @ ( s @ SV248 ) @ SV290 ) @ SV332 @ SV374 @ SV416 @ SV458 @ ( e1 @ SV248 @ SV290 ) @ ( e2 @ SV248 @ ( s @ SV290 ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(598,plain,
! [SV459: $i,SV417: $i,SV375: $i,SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV80: $i,SV37: $i] :
( ( ( ifeq @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ ( s @ SV249 ) @ SV291 ) @ SV333 @ SV375 @ SV417 @ SV459 @ ( e1 @ SV249 @ SV291 ) @ ( e2 @ SV249 @ ( s @ SV291 ) ) ) @ true @ ( state @ SV37 @ SV80 @ SV123 @ SV165 @ SV207 @ ( h @ SV249 @ SV291 ) @ SV333 @ SV375 @ SV417 @ SV459 @ ( e1 @ ( s @ SV249 ) @ SV291 ) @ ( e2 @ ( s @ SV249 ) @ ( s @ SV291 ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(599,plain,
! [SV460: $i,SV418: $i,SV376: $i,SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV81: $i,SV38: $i] :
( ( ( ifeq @ ( state @ ( bb @ SV38 @ SV81 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SV460 @ ( e1 @ SV38 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV81 ) ) ) ) @ true @ ( state @ ( bb @ SV38 @ ( s @ SV81 ) ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SV460 @ ( e1 @ SV38 @ SV81 ) @ ( e2 @ ( s @ SV38 ) @ SV81 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(600,plain,
! [SV461: $i,SV419: $i,SV377: $i,SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ( ifeq @ ( state @ ( bb @ SV39 @ ( s @ SV82 ) ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SV461 @ ( e1 @ SV39 @ SV82 ) @ ( e2 @ ( s @ SV39 ) @ SV82 ) ) @ true @ ( state @ ( bb @ SV39 @ SV82 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SV461 @ ( e1 @ SV39 @ ( s @ ( s @ SV82 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV82 ) ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(601,plain,
! [SV462: $i,SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV83: $i,SV40: $i] :
( ( ( ifeq @ ( state @ ( bb @ SV40 @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ SV462 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV83 ) ) ) @ true @ ( state @ ( bb @ ( s @ SV40 ) @ SV83 ) @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ SV462 @ ( e1 @ SV40 @ SV83 ) @ ( e2 @ SV40 @ ( s @ SV83 ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(602,plain,
! [SV463: $i,SV421: $i,SV379: $i,SV337: $i,SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ( ifeq @ ( state @ ( bb @ ( s @ SV41 ) @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SV421 @ SV463 @ ( e1 @ SV41 @ SV84 ) @ ( e2 @ SV41 @ ( s @ SV84 ) ) ) @ true @ ( state @ ( bb @ SV41 @ SV84 ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SV421 @ SV463 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV84 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV84 ) ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(603,plain,
! [SV464: $i,SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY3123: $i,SY3124: $i,SY3125: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SV464 @ SY3123 ) @ ( e2 @ SY3124 @ SY3125 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SY3124 @ SY3125 ) @ ( e2 @ SV464 @ SY3123 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(604,plain,
! [SV465: $i,SV423: $i,SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SV213 @ SV255 @ SV297 @ SV339 @ SV381 @ SV423 @ SV465 )
!= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(605,plain,
! [SV466: $i,SV424: $i,SV382: $i,SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV45: $i,SV2: $i] :
( ( ( ifeq @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ SV256 @ ( s @ SV298 ) ) @ SV466 ) @ true @ ( state @ SV2 @ SV45 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ ( s @ SV298 ) ) @ SV340 @ SV382 @ SV424 @ ( e1 @ SV256 @ SV298 ) @ SV466 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(606,plain,
! [SV467: $i,SV425: $i,SV383: $i,SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ( ifeq @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ ( s @ SV299 ) ) @ SV341 @ SV383 @ SV425 @ ( e1 @ SV257 @ SV299 ) @ SV467 ) @ true @ ( state @ SV3 @ SV46 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ SV257 @ ( s @ SV299 ) ) @ SV467 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(607,plain,
! [SV468: $i,SV426: $i,SV384: $i,SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ( ifeq @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ SV258 @ SV300 ) @ SV342 @ SV384 @ SV426 @ ( e1 @ ( s @ SV258 ) @ SV300 ) @ SV468 ) @ true @ ( state @ SV4 @ SV47 @ SV90 @ SV132 @ SV174 @ SV216 @ ( s1 @ ( s @ SV258 ) @ SV300 ) @ SV342 @ SV384 @ SV426 @ ( e1 @ SV258 @ SV300 ) @ SV468 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(608,plain,
! [SV469: $i,SV427: $i,SV385: $i,SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ( ifeq @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ ( s @ SV259 ) @ SV301 ) @ SV343 @ SV385 @ SV427 @ ( e1 @ SV259 @ SV301 ) @ SV469 ) @ true @ ( state @ SV5 @ SV48 @ SV91 @ SV133 @ SV175 @ SV217 @ ( s1 @ SV259 @ SV301 ) @ SV343 @ SV385 @ SV427 @ ( e1 @ ( s @ SV259 ) @ SV301 ) @ SV469 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(609,plain,
! [SV470: $i,SV428: $i,SV386: $i,SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV49: $i,SV6: $i] :
( ( ( ifeq @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SV386 @ SV428 @ ( e1 @ SV302 @ ( s @ SV344 ) ) @ SV470 ) @ true @ ( state @ SV6 @ SV49 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ ( s @ SV344 ) ) @ SV386 @ SV428 @ ( e1 @ SV302 @ SV344 ) @ SV470 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(610,plain,
! [SV471: $i,SV429: $i,SV387: $i,SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ( ifeq @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ ( s @ SV345 ) ) @ SV387 @ SV429 @ ( e1 @ SV303 @ SV345 ) @ SV471 ) @ true @ ( state @ SV7 @ SV50 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SV387 @ SV429 @ ( e1 @ SV303 @ ( s @ SV345 ) ) @ SV471 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(611,plain,
! [SV472: $i,SV430: $i,SV388: $i,SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ( ifeq @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ SV304 @ SV346 ) @ SV388 @ SV430 @ ( e1 @ ( s @ SV304 ) @ SV346 ) @ SV472 ) @ true @ ( state @ SV8 @ SV51 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ ( s2 @ ( s @ SV304 ) @ SV346 ) @ SV388 @ SV430 @ ( e1 @ SV304 @ SV346 ) @ SV472 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(612,plain,
! [SV473: $i,SV431: $i,SV389: $i,SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ( ifeq @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ ( s @ SV305 ) @ SV347 ) @ SV389 @ SV431 @ ( e1 @ SV305 @ SV347 ) @ SV473 ) @ true @ ( state @ SV9 @ SV52 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ ( s2 @ SV305 @ SV347 ) @ SV389 @ SV431 @ ( e1 @ ( s @ SV305 ) @ SV347 ) @ SV473 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(613,plain,
! [SV474: $i,SV432: $i,SV390: $i,SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV53: $i,SV10: $i] :
( ( ( ifeq @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SV390 ) @ SV432 @ ( e1 @ SV348 @ ( s @ SV390 ) ) @ SV474 ) @ true @ ( state @ SV10 @ SV53 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ ( s @ SV390 ) ) @ SV432 @ ( e1 @ SV348 @ SV390 ) @ SV474 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(614,plain,
! [SV475: $i,SV433: $i,SV391: $i,SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV54: $i,SV11: $i] :
( ( ( ifeq @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ ( s @ SV391 ) ) @ SV433 @ ( e1 @ SV349 @ SV391 ) @ SV475 ) @ true @ ( state @ SV11 @ SV54 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SV391 ) @ SV433 @ ( e1 @ SV349 @ ( s @ SV391 ) ) @ SV475 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(615,plain,
! [SV476: $i,SV434: $i,SV392: $i,SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ( ifeq @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ SV350 @ SV392 ) @ SV434 @ ( e1 @ ( s @ SV350 ) @ SV392 ) @ SV476 ) @ true @ ( state @ SV12 @ SV55 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ ( s3 @ ( s @ SV350 ) @ SV392 ) @ SV434 @ ( e1 @ SV350 @ SV392 ) @ SV476 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(616,plain,
! [SV477: $i,SV435: $i,SV393: $i,SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ( ifeq @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ ( s @ SV351 ) @ SV393 ) @ SV435 @ ( e1 @ SV351 @ SV393 ) @ SV477 ) @ true @ ( state @ SV13 @ SV56 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ ( s3 @ SV351 @ SV393 ) @ SV435 @ ( e1 @ ( s @ SV351 ) @ SV393 ) @ SV477 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(617,plain,
! [SV478: $i,SV436: $i,SV394: $i,SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ( ifeq @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ SV436 ) @ ( e1 @ SV394 @ ( s @ SV436 ) ) @ SV478 ) @ true @ ( state @ SV14 @ SV57 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ ( s @ SV436 ) ) @ ( e1 @ SV394 @ SV436 ) @ SV478 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(618,plain,
! [SV479: $i,SV437: $i,SV395: $i,SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ifeq @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ ( s @ SV437 ) ) @ ( e1 @ SV395 @ SV437 ) @ SV479 ) @ true @ ( state @ SV15 @ SV58 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ SV437 ) @ ( e1 @ SV395 @ ( s @ SV437 ) ) @ SV479 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(619,plain,
! [SV480: $i,SV438: $i,SV396: $i,SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( ifeq @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ ( s4 @ SV396 @ SV438 ) @ ( e1 @ ( s @ SV396 ) @ SV438 ) @ SV480 ) @ true @ ( state @ SV16 @ SV59 @ SV102 @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ ( s4 @ ( s @ SV396 ) @ SV438 ) @ ( e1 @ SV396 @ SV438 ) @ SV480 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(620,plain,
! [SV481: $i,SV439: $i,SV397: $i,SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ( ifeq @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ ( s4 @ ( s @ SV397 ) @ SV439 ) @ ( e1 @ SV397 @ SV439 ) @ SV481 ) @ true @ ( state @ SV17 @ SV60 @ SV103 @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ ( s4 @ SV397 @ SV439 ) @ ( e1 @ ( s @ SV397 ) @ SV439 ) @ SV481 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(621,plain,
! [SV482: $i,SV442: $i,SV400: $i,SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ( ifeq @ ( state @ SV20 @ ( v1 @ SV63 @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV106 ) @ SV482 ) @ true @ ( state @ SV20 @ ( v1 @ ( s @ SV63 ) @ SV106 ) @ SV148 @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ SV63 @ SV106 ) @ SV482 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(622,plain,
! [SV483: $i,SV443: $i,SV401: $i,SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV64: $i,SV21: $i] :
( ( ( ifeq @ ( state @ SV21 @ ( v1 @ ( s @ SV64 ) @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ SV64 @ SV107 ) @ SV483 ) @ true @ ( state @ SV21 @ ( v1 @ SV64 @ SV107 ) @ SV149 @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ ( s @ ( s @ SV64 ) ) @ SV107 ) @ SV483 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(623,plain,
! [SV484: $i,SV446: $i,SV404: $i,SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV67: $i,SV24: $i] :
( ( ( ifeq @ ( state @ SV24 @ SV67 @ ( v2 @ SV110 @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ ( s @ ( s @ SV110 ) ) @ SV152 ) @ SV484 ) @ true @ ( state @ SV24 @ SV67 @ ( v2 @ ( s @ SV110 ) @ SV152 ) @ SV194 @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ SV110 @ SV152 ) @ SV484 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(624,plain,
! [SV485: $i,SV447: $i,SV405: $i,SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ifeq @ ( state @ SV25 @ SV68 @ ( v2 @ ( s @ SV111 ) @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ SV111 @ SV153 ) @ SV485 ) @ true @ ( state @ SV25 @ SV68 @ ( v2 @ SV111 @ SV153 ) @ SV195 @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ ( s @ ( s @ SV111 ) ) @ SV153 ) @ SV485 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(625,plain,
! [SV486: $i,SV450: $i,SV408: $i,SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV71: $i,SV28: $i] :
( ( ( ifeq @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ SV156 @ SV198 ) @ SV240 @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ ( s @ ( s @ SV156 ) ) @ SV198 ) @ SV486 ) @ true @ ( state @ SV28 @ SV71 @ SV114 @ ( v3 @ ( s @ SV156 ) @ SV198 ) @ SV240 @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ SV156 @ SV198 ) @ SV486 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(626,plain,
! [SV487: $i,SV451: $i,SV409: $i,SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV72: $i,SV29: $i] :
( ( ( ifeq @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ ( s @ SV157 ) @ SV199 ) @ SV241 @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ SV157 @ SV199 ) @ SV487 ) @ true @ ( state @ SV29 @ SV72 @ SV115 @ ( v3 @ SV157 @ SV199 ) @ SV241 @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ ( s @ ( s @ SV157 ) ) @ SV199 ) @ SV487 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(627,plain,
! [SV488: $i,SV454: $i,SV412: $i,SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV75: $i,SV32: $i] :
( ( ( ifeq @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ SV202 @ SV244 ) @ SV286 @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ ( s @ ( s @ SV202 ) ) @ SV244 ) @ SV488 ) @ true @ ( state @ SV32 @ SV75 @ SV118 @ SV160 @ ( v4 @ ( s @ SV202 ) @ SV244 ) @ SV286 @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV202 @ SV244 ) @ SV488 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(628,plain,
! [SV489: $i,SV455: $i,SV413: $i,SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ( ifeq @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ ( s @ SV203 ) @ SV245 ) @ SV287 @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV203 @ SV245 ) @ SV489 ) @ true @ ( state @ SV33 @ SV76 @ SV119 @ SV161 @ ( v4 @ SV203 @ SV245 ) @ SV287 @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ ( s @ ( s @ SV203 ) ) @ SV245 ) @ SV489 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(629,plain,
! [SV490: $i,SV456: $i,SV414: $i,SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV77: $i,SV34: $i] :
( ( ( ifeq @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ SV246 @ ( s @ ( s @ SV288 ) ) ) @ SV490 ) @ true @ ( state @ SV34 @ SV77 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ ( s @ SV288 ) ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ SV246 @ SV288 ) @ SV490 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(630,plain,
! [SV491: $i,SV457: $i,SV415: $i,SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV78: $i,SV35: $i] :
( ( ( ifeq @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ ( s @ SV289 ) ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ SV247 @ SV289 ) @ SV491 ) @ true @ ( state @ SV35 @ SV78 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ SV247 @ ( s @ ( s @ SV289 ) ) ) @ SV491 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(631,plain,
! [SV492: $i,SV464: $i,SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY3126: $i,SY3127: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SV464 @ SV492 ) @ ( e2 @ SY3126 @ SY3127 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SY3126 @ SY3127 ) @ ( e2 @ SV464 @ SV492 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(632,plain,
! [SV465: $i,SV423: $i,SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV86: $i,SV43: $i] :
( ( ( state @ SV43 @ SV86 @ SV129 @ SV171 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ SV213 @ SV255 @ SV297 @ SV339 @ SV381 @ SV423 @ SV465 )
= true )
= $false ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(633,plain,
! [SV493: $i,SV492: $i,SV464: $i,SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY3128: $i] :
( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SV464 @ SV492 ) @ ( e2 @ SV493 @ SY3128 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SV493 @ SY3128 ) @ ( e2 @ SV464 @ SV492 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(634,plain,
! [SV494: $i,SV493: $i,SV492: $i,SV464: $i,SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ( ifeq @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SV464 @ SV492 ) @ ( e2 @ SV493 @ SV494 ) ) @ true @ ( state @ SV42 @ SV85 @ SV128 @ SV170 @ SV212 @ SV254 @ SV296 @ SV338 @ SV380 @ SV422 @ ( e1 @ SV493 @ SV494 ) @ ( e2 @ SV464 @ SV492 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(635,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[94,634,632,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,602,601,600,599,598,597,592,591,588,587,584,583,580,579,226,181]) ).
thf(636,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ039-10 : TPTP v9.3.1. Released v7.5.0.
% 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
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 13:56:10 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.69/6.84
% 39.69/6.84 No.of.Axioms: 44
% 39.69/6.84
% 39.69/6.84 Length.of.Defs: 0
% 39.69/6.84
% 39.69/6.84 Contains.Choice.Funs: false
% 39.69/6.84 ...............................................................
% 39.69/6.84
% 39.69/6.84 ********************************
% 39.69/6.84 * All subproblems solved! *
% 39.69/6.84 ********************************
% 39.69/6.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:44,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:635,loop_count:0,foatp_calls:1,translation:fof_full)
% 39.69/6.84
% 39.69/6.84 %**** Beginning of derivation protocol ****
% 39.69/6.84 % SZS output start CNFRefutation
% See solution above
% 39.69/6.85
% 39.69/6.85 %**** End of derivation protocol ****
% 39.69/6.85 %**** no. of clauses in derivation: 636 ****
% 39.69/6.85 %**** clause counter: 635 ****
% 39.69/6.85
% 39.69/6.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:44,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:635,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------