%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP184^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 10:24:40 AM UTC 2026
% Result : Theorem 6.68s 1.38s
% Output : CNFRefutation 6.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 52
% Syntax : Number of formulae : 913 ( 350 unt; 0 typ; 0 def)
% Number of atoms : 6884 (2820 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 9777 (1645 ~;1898 |; 23 &;6079 @)
% ( 0 <=>; 132 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 127 ( 127 >; 0 *; 0 +; 0 <<)
% Number of symbols : 96 ( 93 usr; 13 con; 0-6 aty)
% Number of variables : 2656 ( 0 ^;2651 !; 5 ?;2656 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_late_freeRes,type,
late_freeRes: $tType ).
thf(tp_late_residual,type,
late_residual: $tType ).
thf(tp_late_subject,type,
late_subject: $tType ).
thf(tp_name,type,
name: $tType ).
thf(tp_noption_Late_freeRes,type,
noption_Late_freeRes: $tType ).
thf(tp_noption_Late_subject,type,
noption_Late_subject: $tType ).
thf(tp_noption_name,type,
noption_name: $tType ).
thf(tp_noption_pi,type,
noption_pi: $tType ).
thf(tp_pi,type,
pi: $tType ).
thf(tp_produc1357834675reeRes,type,
produc1357834675reeRes: $tType ).
thf(tp_produc1359399907ubject,type,
produc1359399907ubject: $tType ).
thf(tp_produc140253050ect_pi,type,
produc140253050ect_pi: $tType ).
thf(tp_produc1462499409ion_pi,type,
produc1462499409ion_pi: $tType ).
thf(tp_produc1834551554reeRes,type,
produc1834551554reeRes: $tType ).
thf(tp_produc1998742700t_name,type,
produc1998742700t_name: $tType ).
thf(tp_produc2008547984reeRes,type,
produc2008547984reeRes: $tType ).
thf(tp_produc2052722628s_name,type,
produc2052722628s_name: $tType ).
thf(tp_produc214645451ubject,type,
produc214645451ubject: $tType ).
thf(tp_produc355105483reeRes,type,
produc355105483reeRes: $tType ).
thf(tp_produc405342261i_name,type,
produc405342261i_name: $tType ).
thf(tp_produc629157763_pi_pi,type,
produc629157763_pi_pi: $tType ).
thf(tp_produc691362330ubject,type,
produc691362330ubject: $tType ).
thf(tp_produc865358760ubject,type,
produc865358760ubject: $tType ).
thf(tp_produc992857746Res_pi,type,
produc992857746Res_pi: $tType ).
thf(tp_product_prod_pi_pi,type,
product_prod_pi_pi: $tType ).
thf(tp_set_Pr1834926343_pi_pi,type,
set_Pr1834926343_pi_pi: $tType ).
thf(tp_a,type,
a: late_subject ).
thf(tp_abs_fu1904601852ubject,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(tp_abs_fu681348580reeRes,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(tp_abs_fun_name_name,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(tp_abs_fun_name_pi,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(tp_bang,type,
bang: pi > pi ).
thf(tp_collec1051790738_pi_pi,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(tp_eqvt_pi,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(tp_fresh_1093033124n_name,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(tp_fresh_1498103185ubject,type,
fresh_1498103185ubject: name > produc214645451ubject > $o ).
thf(tp_fresh_1627595501_pi_pi,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(tp_fresh_1638563217reeRes,type,
fresh_1638563217reeRes: name > produc355105483reeRes > $o ).
thf(tp_fresh_1641682979reeRes,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(tp_fresh_1711070152reeRes,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(tp_fresh_1847501388Res_pi,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(tp_fresh_1953561446t_name,type,
fresh_1953561446t_name: name > produc1998742700t_name > $o ).
thf(tp_fresh_1963366730reeRes,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(tp_fresh_2007541374s_name,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(tp_fresh_225680151ion_pi,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(tp_fresh_253309757_pi_pi,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(tp_fresh_453496559i_name,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(tp_fresh_493808761reeRes,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(tp_fresh_495373993ubject,type,
fresh_495373993ubject: name > produc1359399907ubject > $o ).
thf(tp_fresh_543891186ion_pi,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(tp_fresh_567880928ubject,type,
fresh_567880928ubject: name > produc691362330ubject > $o ).
thf(tp_fresh_717452603ubject,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(tp_fresh_728038529ubject,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(tp_fresh_785364841reeRes,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(tp_fresh_81631222sidual,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(tp_fresh_820177506ubject,type,
fresh_820177506ubject: name > produc865358760ubject > $o ).
thf(tp_fresh_994896692ect_pi,type,
fresh_994896692ect_pi: name > produc140253050ect_pi > $o ).
thf(tp_fresh_name_name,type,
fresh_name_name: name > name > $o ).
thf(tp_fresh_name_pi,type,
fresh_name_pi: name > pi > $o ).
thf(tp_if_name,type,
if_name: $o > name > name > name ).
thf(tp_input,type,
input: name > name > pi > pi ).
thf(tp_late_BoundOutputS,type,
late_BoundOutputS: name > late_subject ).
thf(tp_late_BoundR,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(tp_late_FreeR,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(tp_late_InputS,type,
late_InputS: name > late_subject ).
thf(tp_late_OutputR,type,
late_OutputR: name > name > late_freeRes ).
thf(tp_late_TauR,type,
late_TauR: late_freeRes ).
thf(tp_late_transitions,type,
late_transitions: pi > late_residual > $o ).
thf(tp_match,type,
match: name > name > pi > pi ).
thf(tp_member558706512_pi_pi,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(tp_mismatch,type,
mismatch: name > name > pi > pi ).
thf(tp_output,type,
output: name > name > pi > pi ).
thf(tp_p,type,
p: pi ).
thf(tp_par,type,
par: pi > pi > pi ).
thf(tp_piNil,type,
piNil: pi ).
thf(tp_pqr,type,
pqr: pi ).
thf(tp_produc1177552196Res_pi,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(tp_produc1244821099reeRes,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(tp_produc1342893193ion_pi,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(tp_produc1465345179ubject,type,
produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).
thf(tp_produc1505598906reeRes,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(tp_produc1531804426reeRes,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(tp_produc1647375838t_name,type,
produc1647375838t_name: late_subject > name > produc1998742700t_name ).
thf(tp_produc1701355766s_name,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(tp_produc1820286517_pi_pi,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(tp_produc242091907reeRes,type,
produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).
thf(tp_produc320590723ubject,type,
produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).
thf(tp_produc324947500ect_pi,type,
produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).
thf(tp_produc540578151i_name,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(tp_produc581368530ubject,type,
produc581368530ubject: ( name > noption_pi ) > late_subject > produc691362330ubject ).
thf(tp_produc607574050ubject,type,
produc607574050ubject: name > late_subject > produc865358760ubject ).
thf(tp_product_Pair_pi_pi,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(tp_q,type,
q: pi ).
thf(tp_q2,type,
q2: pi ).
thf(tp_qr,type,
qr: pi ).
thf(tp_r,type,
r: pi ).
thf(tp_rel,type,
rel: set_Pr1834926343_pi_pi ).
thf(tp_res,type,
res: name > pi > pi ).
thf(tp_sK10_SY451,type,
sK10_SY451: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK11_SY446,type,
sK11_SY446: pi > pi > ( pi > $o ) > name > late_subject > pi > pi ).
thf(tp_sK12_SV152,type,
sK12_SV152: late_subject > late_subject > pi > name > pi > name > name ).
thf(tp_sK13_SY447,type,
sK13_SY447: pi > pi > ( pi > $o ) > name > late_subject > pi > pi ).
thf(tp_sK14_SY447,type,
sK14_SY447: pi > pi > ( pi > $o ) > name > late_subject > pi > pi ).
thf(tp_sK1_SY187,type,
sK1_SY187: late_residual > ( late_residual > $o ) > late_subject ).
thf(tp_sK2_SY439,type,
sK2_SY439: late_residual > ( late_residual > $o ) > name ).
thf(tp_sK3_SY327,type,
sK3_SY327: late_residual > pi > pi ).
thf(tp_sK4_SY445,type,
sK4_SY445: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK5_SY419,type,
sK5_SY419: late_residual > pi > name > name > pi ).
thf(tp_sK6_SY431,type,
sK6_SY431: late_residual > pi > name > name > pi ).
thf(tp_sK7_SY448,type,
sK7_SY448: late_residual > pi > name > name > name ).
thf(tp_sK8_SY450,type,
sK8_SY450: name > pi > late_residual > name > name ).
thf(tp_sK9_SY190,type,
sK9_SY190: late_residual > ( late_residual > $o ) > late_freeRes ).
thf(tp_strong2129052853vative,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(tp_strong743114133lation,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(tp_subs,type,
subs: pi > name > name > pi ).
thf(tp_subst_name,type,
subst_name: name > name > name > name ).
thf(tp_sum,type,
sum: pi > pi > pi ).
thf(tp_tau,type,
tau: pi > pi ).
thf(tp_x,type,
x: name ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Agent__Oname_T) ).
thf(16,axiom,
! [Pi1: pi,Pi22: pi,Pi12: pi,Pi23: pi] :
( ( sum @ Pi1 @ Pi22 )
!= ( par @ Pi12 @ Pi23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304_pi_Odistinct_I79_J) ).
thf(18,axiom,
! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_302_sumCases) ).
thf(19,axiom,
! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_sumCases_H) ).
thf(20,axiom,
! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_300_Sum1) ).
thf(21,axiom,
! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_Sum2) ).
thf(25,axiom,
! [Pi1: pi,Pi22: pi,Pi2: pi] :
( ( par @ Pi1 @ Pi22 )
!= ( bang @ Pi2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_pi_Odistinct_I87_J) ).
thf(26,axiom,
! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( bang @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( bang @ P )
= ( bang @ P4 ) )
=> ~ ( late_transitions @ ( par @ P4 @ ( bang @ P4 ) ) @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_bangCases) ).
thf(27,axiom,
! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
=> ( late_transitions @ ( bang @ P ) @ Rs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_293_Bang) ).
thf(48,axiom,
! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( match @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_pi_Odistinct_I65_J) ).
thf(49,axiom,
! [P: pi,Rs: late_residual,B: name] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( match @ B @ B @ P ) @ Rs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_Match) ).
thf(50,axiom,
! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( B = A )
& ( P = P4 ) )
=> ~ ( late_transitions @ P4 @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_270_matchCases_H) ).
thf(51,axiom,
! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_matchTrans) ).
thf(52,axiom,
! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A = B )
=> ( F @ A @ A ) ) )
=> ( F @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_matchCases) ).
thf(61,axiom,
! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( F @ A @ B ) ) )
=> ( F @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_mismatchCases) ).
thf(62,axiom,
! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_mismatchTrans) ).
thf(63,axiom,
! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A4: name,B3: name] :
( ( ( A = A4 )
& ( B = B3 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A4 = B3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_mismatchCases_H) ).
thf(64,axiom,
! [P: pi,Rs: late_residual,A: name,B: name] :
( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_Mismatch) ).
thf(65,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_nilCases_H) ).
thf(66,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_zeroTrans) ).
thf(67,axiom,
! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( mismatch @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_pi_Odistinct_I73_J) ).
thf(68,axiom,
! [Pi12: pi,Pi23: pi] :
( piNil
!= ( par @ Pi12 @ Pi23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_pi_Odistinct_I13_J) ).
thf(103,axiom,
! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C @ D )
= ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_simps_I8_J) ).
thf(158,axiom,
! [Q: pi,Alpha3: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha3 @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha3 @ ( par @ P @ Q2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_Par2F) ).
thf(159,axiom,
! [P: pi,Alpha3: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha3 @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha3 @ ( par @ P2 @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_Par1F) ).
thf(173,axiom,
! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name4: name,Pi3: pi] : ( P @ ( late_BoundR @ Subject2 @ Name4 @ Pi3 ) )
=> ( ! [FreeRes2: late_freeRes,Pi3: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi3 ) )
=> ( P @ Residual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_residual_Oinducts) ).
thf(174,axiom,
! [Subject: late_subject,Name3: name,Pi: pi,FreeRes: late_freeRes,Pi2: pi] :
( ( late_BoundR @ Subject @ Name3 @ Pi )
!= ( late_FreeR @ FreeRes @ Pi2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_residual_Odistinct_I1_J) ).
thf(175,axiom,
! [X3: late_subject,X1: name,X2: pi,Y3: late_subject,Y1: name,Y2: pi] :
( ( ( late_BoundR @ X3 @ X1 @ X2 )
= ( late_BoundR @ Y3 @ Y1 @ Y2 ) )
= ( ( X3 = Y3 )
& ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_residual_Oinject_I1_J) ).
thf(198,axiom,
! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( input @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_pi_Odistinct_I55_J) ).
thf(282,axiom,
! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( ( Y != X )
=> ( fresh_name_pi @ Y @ P2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_freshBoundDerivative_I2_J) ).
thf(284,axiom,
! [Pi: pi,Pi12: pi,Pi23: pi] :
( ( tau @ Pi )
!= ( par @ Pi12 @ Pi23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_pi_Odistinct_I43_J) ).
thf(285,axiom,
! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( output @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_pi_Odistinct_I29_J) ).
thf(286,axiom,
! [Pi1: pi,Pi22: pi,Name: name,Pi2: pi] :
( ( par @ Pi1 @ Pi22 )
!= ( res @ Name @ Pi2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_pi_Odistinct_I85_J) ).
thf(299,axiom,
! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_pi_Ofresh_I8_J) ).
thf(303,axiom,
! [A: name,B: name,P: pi,C: late_subject,X: name,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_BoundR @ C @ X @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_outputBoundTrans) ).
thf(304,axiom,
! [P: pi,A: late_subject,X: name,P2: pi] :
~ ( late_transitions @ ( tau @ P ) @ ( late_BoundR @ A @ X @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_tauBoundTrans) ).
thf(305,axiom,
! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi,Prop: pi > $o] :
( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
=> ( ( fresh_name_pi @ X @ P )
=> ( ( fresh_name_pi @ X @ Q )
=> ( ! [P3: pi] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
=> ( Prop @ ( par @ P3 @ Q ) ) )
=> ( ! [Q3: pi] :
( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q3 ) )
=> ( Prop @ ( par @ P @ Q3 ) ) )
=> ( Prop @ PQ ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_parCasesB) ).
thf(306,axiom,
! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
=> ( ( fresh_name_pi @ X @ P )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_Late__Semantics_OPar2B) ).
thf(307,axiom,
! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
=> ( ( fresh_name_pi @ X @ Q )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_Late__Semantics_OPar1B) ).
thf(308,axiom,
! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_pi_Oinject_I7_J) ).
thf(310,axiom,
fresh_name_pi @ x @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10__092_060open_062x_A_092_060sharp_062_AR_092_060close_062) ).
thf(311,axiom,
fresh_name_pi @ x @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9__092_060open_062x_A_092_060sharp_062_AP_092_060close_062) ).
thf(312,axiom,
fresh_name_pi @ x @ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__092_060open_062x_A_092_060sharp_062_AQ_092_060close_062) ).
thf(313,axiom,
fresh_name_pi @ x @ ( par @ q @ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7__092_060open_062x_A_092_060sharp_062_AQ_A_092_060parallel_062_AR_092_060close_062) ).
thf(314,axiom,
fresh_name_pi @ x @ ( par @ ( par @ p @ q ) @ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_Bound_Ohyps_I2_J) ).
thf(315,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ a @ x @ ( par @ p @ q2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_092_060guillemotleft_062x_092_060guillemotright_062_A_092_060prec_062_AP_A_092_060parallel_062_AQ_H_092_060close_062) ).
thf(316,axiom,
late_transitions @ ( par @ p @ ( par @ q @ r ) ) @ ( late_BoundR @ a @ x @ pqr ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_Bound_Ohyps_I1_J) ).
thf(317,axiom,
late_transitions @ ( par @ q @ r ) @ ( late_BoundR @ a @ x @ qr ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_cPar2_Ohyps) ).
thf(318,axiom,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_Aa_092_060guillemotleft_062x_092_060guillemotright_062_A_092_060prec_062_A_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_092_060close_062) ).
thf(319,axiom,
late_transitions @ q @ ( late_BoundR @ a @ x @ q2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cPar1_Ohyps) ).
thf(320,axiom,
strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062derivative_A_I_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_J_A_IP_A_092_060parallel_062_AQ_H_A_092_060parallel_062_AR_J_Aa_Ax_ARel_092_060close_062) ).
thf(321,conjecture,
? [P8: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ P8 ) )
& ( strong2129052853vative @ P8 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(322,negated_conjecture,
( ( ? [P8: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ P8 ) )
& ( strong2129052853vative @ P8 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[321]) ).
thf(323,plain,
( ( ? [P8: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ P8 ) )
& ( strong2129052853vative @ P8 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $false ),
inference(unfold_def,[status(thm)],[322]) ).
thf(324,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(325,plain,
( ( ! [Pi1: pi,Pi22: pi,Pi12: pi,Pi23: pi] :
( ( sum @ Pi1 @ Pi22 )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(326,plain,
( ( ! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(327,plain,
( ( ! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(328,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(329,plain,
( ( ! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(330,plain,
( ( ! [Pi1: pi,Pi22: pi,Pi2: pi] :
( ( par @ Pi1 @ Pi22 )
!= ( bang @ Pi2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(331,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( bang @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( bang @ P )
= ( bang @ P4 ) )
=> ~ ( late_transitions @ ( par @ P4 @ ( bang @ P4 ) ) @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(332,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
=> ( late_transitions @ ( bang @ P ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(333,plain,
( ( ! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( match @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(334,plain,
( ( ! [P: pi,Rs: late_residual,B: name] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( match @ B @ B @ P ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(335,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( B = A )
& ( P = P4 ) )
=> ~ ( late_transitions @ P4 @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(336,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(337,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A = B )
=> ( F @ A @ A ) ) )
=> ( F @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(338,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( F @ A @ B ) ) )
=> ( F @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(339,plain,
( ( ! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(340,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A4: name,B3: name] :
( ( ( A = A4 )
& ( B = B3 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A4 = B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(341,plain,
( ( ! [P: pi,Rs: late_residual,A: name,B: name] :
( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(342,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(343,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(344,plain,
( ( ! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( mismatch @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(345,plain,
( ( ! [Pi12: pi,Pi23: pi] :
( piNil
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(346,plain,
( ( ! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C @ D )
= ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(347,plain,
( ( ! [Q: pi,Alpha3: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha3 @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha3 @ ( par @ P @ Q2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(348,plain,
( ( ! [P: pi,Alpha3: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha3 @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha3 @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(349,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name4: name,Pi3: pi] : ( P @ ( late_BoundR @ Subject2 @ Name4 @ Pi3 ) )
=> ( ! [FreeRes2: late_freeRes,Pi3: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi3 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(350,plain,
( ( ! [Subject: late_subject,Name3: name,Pi: pi,FreeRes: late_freeRes,Pi2: pi] :
( ( late_BoundR @ Subject @ Name3 @ Pi )
!= ( late_FreeR @ FreeRes @ Pi2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(351,plain,
( ( ! [X3: late_subject,X1: name,X2: pi,Y3: late_subject,Y1: name,Y2: pi] :
( ( ( late_BoundR @ X3 @ X1 @ X2 )
= ( late_BoundR @ Y3 @ Y1 @ Y2 ) )
= ( ( X3 = Y3 )
& ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(352,plain,
( ( ! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( input @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(353,plain,
( ( ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( ( Y != X )
=> ( fresh_name_pi @ Y @ P2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(354,plain,
( ( ! [Pi: pi,Pi12: pi,Pi23: pi] :
( ( tau @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(355,plain,
( ( ! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( output @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(356,plain,
( ( ! [Pi1: pi,Pi22: pi,Name: name,Pi2: pi] :
( ( par @ Pi1 @ Pi22 )
!= ( res @ Name @ Pi2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(357,plain,
( ( ! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(358,plain,
( ( ! [A: name,B: name,P: pi,C: late_subject,X: name,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_BoundR @ C @ X @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(359,plain,
( ( ! [P: pi,A: late_subject,X: name,P2: pi] :
~ ( late_transitions @ ( tau @ P ) @ ( late_BoundR @ A @ X @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(360,plain,
( ( ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi,Prop: pi > $o] :
( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
=> ( ( fresh_name_pi @ X @ P )
=> ( ( fresh_name_pi @ X @ Q )
=> ( ! [P3: pi] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
=> ( Prop @ ( par @ P3 @ Q ) ) )
=> ( ! [Q3: pi] :
( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q3 ) )
=> ( Prop @ ( par @ P @ Q3 ) ) )
=> ( Prop @ PQ ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(361,plain,
( ( ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
=> ( ( fresh_name_pi @ X @ P )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(362,plain,
( ( ! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
=> ( ( fresh_name_pi @ X @ Q )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(363,plain,
( ( ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(364,plain,
( ( fresh_name_pi @ x @ r )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(365,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(366,plain,
( ( fresh_name_pi @ x @ q )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(367,plain,
( ( fresh_name_pi @ x @ ( par @ q @ r ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(368,plain,
( ( fresh_name_pi @ x @ ( par @ ( par @ p @ q ) @ r ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(369,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ a @ x @ ( par @ p @ q2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(370,plain,
( ( late_transitions @ ( par @ p @ ( par @ q @ r ) ) @ ( late_BoundR @ a @ x @ pqr ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(371,plain,
( ( late_transitions @ ( par @ q @ r ) @ ( late_BoundR @ a @ x @ qr ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(372,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(373,plain,
( ( late_transitions @ q @ ( late_BoundR @ a @ x @ q2 ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(374,plain,
( ( strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(375,plain,
( ( ~ ? [P8: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ P8 ) )
& ( strong2129052853vative @ P8 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[323]) ).
thf(376,plain,
( ( strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(377,plain,
( ( late_transitions @ q @ ( late_BoundR @ a @ x @ q2 ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(378,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(379,plain,
( ( late_transitions @ ( par @ q @ r ) @ ( late_BoundR @ a @ x @ qr ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(380,plain,
( ( late_transitions @ ( par @ p @ ( par @ q @ r ) ) @ ( late_BoundR @ a @ x @ pqr ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(381,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ a @ x @ ( par @ p @ q2 ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(382,plain,
( ( fresh_name_pi @ x @ ( par @ ( par @ p @ q ) @ r ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(383,plain,
( ( fresh_name_pi @ x @ ( par @ q @ r ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(384,plain,
( ( fresh_name_pi @ x @ q )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(385,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(386,plain,
( ( fresh_name_pi @ x @ r )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(387,plain,
( ( ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(388,plain,
( ( ! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
=> ( ( fresh_name_pi @ X @ Q )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(389,plain,
( ( ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
=> ( ( fresh_name_pi @ X @ P )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(390,plain,
( ( ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi,Prop: pi > $o] :
( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
=> ( ( fresh_name_pi @ X @ P )
=> ( ( fresh_name_pi @ X @ Q )
=> ( ! [P3: pi] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
=> ( Prop @ ( par @ P3 @ Q ) ) )
=> ( ! [Q3: pi] :
( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q3 ) )
=> ( Prop @ ( par @ P @ Q3 ) ) )
=> ( Prop @ PQ ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(391,plain,
( ( ! [P: pi,A: late_subject,X: name,P2: pi] :
~ ( late_transitions @ ( tau @ P ) @ ( late_BoundR @ A @ X @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(392,plain,
( ( ! [A: name,B: name,P: pi,C: late_subject,X: name,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_BoundR @ C @ X @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(393,plain,
( ( ! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(394,plain,
( ( ! [Pi1: pi,Pi22: pi,Name: name,Pi2: pi] :
( ( par @ Pi1 @ Pi22 )
!= ( res @ Name @ Pi2 ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(395,plain,
( ( ! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( output @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(396,plain,
( ( ! [Pi: pi,Pi12: pi,Pi23: pi] :
( ( tau @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(397,plain,
( ( ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( ( Y != X )
=> ( fresh_name_pi @ Y @ P2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(398,plain,
( ( ! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( input @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(399,plain,
( ( ! [X3: late_subject,X1: name,X2: pi,Y3: late_subject,Y1: name,Y2: pi] :
( ( ( late_BoundR @ X3 @ X1 @ X2 )
= ( late_BoundR @ Y3 @ Y1 @ Y2 ) )
= ( ( X3 = Y3 )
& ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(400,plain,
( ( ! [Subject: late_subject,Name3: name,Pi: pi,FreeRes: late_freeRes,Pi2: pi] :
( ( late_BoundR @ Subject @ Name3 @ Pi )
!= ( late_FreeR @ FreeRes @ Pi2 ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(401,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name4: name,Pi3: pi] : ( P @ ( late_BoundR @ Subject2 @ Name4 @ Pi3 ) )
=> ( ! [FreeRes2: late_freeRes,Pi3: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi3 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(402,plain,
( ( ! [P: pi,Alpha3: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha3 @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha3 @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(403,plain,
( ( ! [Q: pi,Alpha3: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha3 @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha3 @ ( par @ P @ Q2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(404,plain,
( ( ! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C @ D )
= ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(405,plain,
( ( ! [Pi12: pi,Pi23: pi] :
( piNil
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(406,plain,
( ( ! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( mismatch @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(407,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(408,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(409,plain,
( ( ! [P: pi,Rs: late_residual,A: name,B: name] :
( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(410,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A4: name,B3: name] :
( ( ( A = A4 )
& ( B = B3 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A4 = B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(411,plain,
( ( ! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(412,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( F @ A @ B ) ) )
=> ( F @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(413,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A = B )
=> ( F @ A @ A ) ) )
=> ( F @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(414,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(415,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( B = A )
& ( P = P4 ) )
=> ~ ( late_transitions @ P4 @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(416,plain,
( ( ! [P: pi,Rs: late_residual,B: name] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( match @ B @ B @ P ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(417,plain,
( ( ! [Name1: name,Name2: name,Pi: pi,Pi12: pi,Pi23: pi] :
( ( match @ Name1 @ Name2 @ Pi )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(418,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
=> ( late_transitions @ ( bang @ P ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(419,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( bang @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( bang @ P )
= ( bang @ P4 ) )
=> ~ ( late_transitions @ ( par @ P4 @ ( bang @ P4 ) ) @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(420,plain,
( ( ! [Pi1: pi,Pi22: pi,Pi2: pi] :
( ( par @ Pi1 @ Pi22 )
!= ( bang @ Pi2 ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(421,plain,
( ( ! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(422,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(423,plain,
( ( ! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(424,plain,
( ( ! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(425,plain,
( ( ! [Pi1: pi,Pi22: pi,Pi12: pi,Pi23: pi] :
( ( sum @ Pi1 @ Pi22 )
!= ( par @ Pi12 @ Pi23 ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(426,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(427,plain,
( ( ~ ? [P8: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ P8 ) )
& ( strong2129052853vative @ P8 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(428,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( mismatch @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(429,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ~ ! [SX4: pi,SX5: name,SX6: name] :
( ~ ~ ( ~ ~ ( ( SX0 != SX5 )
| ( SX1 != SX6 ) )
| ( SX2 != SX4 ) )
| ~ ( late_transitions @ SX4 @ SX3 )
| ( SX5 = SX6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(430,plain,
( ( ! [SX0: late_residual > $o,SX1: late_residual] :
( ~ ! [SX2: late_subject,SX3: name,SX4: pi] : ( SX0 @ ( late_BoundR @ SX2 @ SX3 @ SX4 ) )
| ~ ! [SX2: late_freeRes,SX3: pi] : ( SX0 @ ( late_FreeR @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(431,plain,
( ( ! [SX0: name,SX1: pi,SX2: pi] :
( ( fresh_name_pi @ SX0 @ ( par @ SX1 @ SX2 ) )
= ( ~ ( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ~ ( fresh_name_pi @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(432,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi] :
( ( tau @ SX0 )
!= ( par @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(433,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(434,plain,
( ( ! [SX0: pi,SX1: late_subject,SX2: name,SX3: pi,SX4: name] :
( ~ ( late_transitions @ SX0 @ ( late_BoundR @ SX1 @ SX2 @ SX3 ) )
| ~ ( fresh_name_pi @ SX4 @ SX0 )
| ~ ( ( SX4 != SX2 ) )
| ( fresh_name_pi @ SX4 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(435,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: name,SX3: name] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ~ ( ( SX2 != SX3 ) )
| ( late_transitions @ ( mismatch @ SX2 @ SX3 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(436,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name,SX3: pi] :
( ( par @ SX0 @ SX1 )
!= ( res @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(437,plain,
( ( ! [SX0: pi,SX1: pi,SX2: late_residual] :
( ~ ( late_transitions @ ( sum @ SX0 @ SX1 ) @ SX2 )
| ~ ~ ( late_transitions @ SX0 @ SX2 )
| ( late_transitions @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(438,plain,
( ( ! [SX0: pi,SX1: pi,SX2: late_residual] :
( ~ ( late_transitions @ ( sum @ SX0 @ SX1 ) @ SX2 )
| ~ ~ ( late_transitions @ SX0 @ SX2 )
| ( late_transitions @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(439,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual,SX4: name > name > $o] :
( ~ ( late_transitions @ ( match @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ~ ( ~ ( late_transitions @ SX2 @ SX3 )
| ( SX0 != SX1 )
| ( SX4 @ SX0 @ SX0 ) )
| ( SX4 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(440,plain,
( ( ! [SX0: pi,SX1: late_residual] :
( ~ ( late_transitions @ ( par @ SX0 @ ( bang @ SX0 ) ) @ SX1 )
| ( late_transitions @ ( bang @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(441,plain,
( ( ! [SX0: pi,SX1: pi] :
( piNil
!= ( par @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(442,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual,SX4: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ~ ( ~ ( late_transitions @ SX2 @ SX3 )
| ~ ( ( SX0 != SX1 ) )
| ( SX4 @ SX0 @ SX1 ) )
| ( SX4 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(443,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: pi] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ( late_transitions @ ( par @ SX0 @ SX3 ) @ ( late_FreeR @ SX1 @ ( par @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(444,plain,
( ( ! [SX0: pi,SX1: late_residual] :
( ~ ( late_transitions @ ( bang @ SX0 ) @ SX1 )
| ~ ! [SX2: pi] :
( ( ( bang @ SX0 )
!= ( bang @ SX2 ) )
| ~ ( late_transitions @ ( par @ SX2 @ ( bang @ SX2 ) ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(445,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual] :
( ~ ( late_transitions @ ( match @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(446,plain,
( ( ! [SX0: late_subject,SX1: name,SX2: pi,SX3: late_freeRes,SX4: pi] :
( ( late_BoundR @ SX0 @ SX1 @ SX2 )
!= ( late_FreeR @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(447,plain,
( ( ! [SX0: pi,SX1: late_subject,SX2: name,SX3: pi,SX4: pi] :
( ~ ( late_transitions @ SX0 @ ( late_BoundR @ SX1 @ SX2 @ SX3 ) )
| ~ ( fresh_name_pi @ SX2 @ SX4 )
| ( late_transitions @ ( par @ SX0 @ SX4 ) @ ( late_BoundR @ SX1 @ SX2 @ ( par @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(448,plain,
( ( ! [SX0: pi,SX1: pi,SX2: late_subject,SX3: name,SX4: pi,SX5: pi > $o] :
( ~ ( late_transitions @ ( par @ SX0 @ SX1 ) @ ( late_BoundR @ SX2 @ SX3 @ SX4 ) )
| ~ ( fresh_name_pi @ SX3 @ SX0 )
| ~ ( fresh_name_pi @ SX3 @ SX1 )
| ~ ! [SX6: pi] :
( ~ ( late_transitions @ SX0 @ ( late_BoundR @ SX2 @ SX3 @ SX6 ) )
| ( SX5 @ ( par @ SX6 @ SX1 ) ) )
| ~ ! [SX6: pi] :
( ~ ( late_transitions @ SX1 @ ( late_BoundR @ SX2 @ SX3 @ SX6 ) )
| ( SX5 @ ( par @ SX0 @ SX6 ) ) )
| ( SX5 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(449,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi] :
( ( par @ SX0 @ SX1 )
!= ( bang @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(450,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(451,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual] :
( ~ ( late_transitions @ ( match @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ~ ! [SX4: pi] :
( ~ ~ ( ( SX1 != SX0 )
| ( SX2 != SX4 ) )
| ~ ( late_transitions @ SX4 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(452,plain,
( ( ! [SX0: late_subject,SX1: name,SX2: pi,SX3: late_subject,SX4: name,SX5: pi] :
( ( ( late_BoundR @ SX0 @ SX1 @ SX2 )
= ( late_BoundR @ SX3 @ SX4 @ SX5 ) )
= ( ~ ( ( SX0 != SX3 )
| ( ( abs_fun_name_pi @ SX1 @ SX2 )
!= ( abs_fun_name_pi @ SX4 @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(453,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( input @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(454,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( ( par @ SX0 @ SX1 )
= ( par @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(455,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( match @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(456,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( output @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(457,plain,
( ( ! [SX0: pi,SX1: late_subject,SX2: name,SX3: pi,SX4: pi] :
( ~ ( late_transitions @ SX0 @ ( late_BoundR @ SX1 @ SX2 @ SX3 ) )
| ~ ( fresh_name_pi @ SX2 @ SX4 )
| ( late_transitions @ ( par @ SX4 @ SX0 ) @ ( late_BoundR @ SX1 @ SX2 @ ( par @ SX4 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(458,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: name] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( match @ SX2 @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(459,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: pi] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ( late_transitions @ ( par @ SX3 @ SX0 ) @ ( late_FreeR @ SX1 @ ( par @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(460,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( sum @ SX0 @ SX1 )
!= ( par @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(461,plain,
( ( ~ ~ ! [SX0: pi] :
~ ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SX0 ) )
| ~ ( strong2129052853vative @ SX0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(462,plain,
! [SV1: pi] :
( ( ! [SY163: late_subject,SY164: name,SY165: pi] :
~ ( late_transitions @ ( tau @ SV1 ) @ ( late_BoundR @ SY163 @ SY164 @ SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(463,plain,
! [SV2: name] :
( ( ! [SY166: name,SY167: pi,SY168: late_subject,SY169: name,SY170: pi] :
~ ( late_transitions @ ( output @ SV2 @ SY166 @ SY167 ) @ ( late_BoundR @ SY168 @ SY169 @ SY170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(464,plain,
! [SV3: pi] :
( ( ! [SY171: pi,SY172: name,SY173: name] :
( ( subs @ ( par @ SV3 @ SY171 ) @ SY172 @ SY173 )
= ( par @ ( subs @ SV3 @ SY172 @ SY173 ) @ ( subs @ SY171 @ SY172 @ SY173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(465,plain,
! [SV4: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(466,plain,
! [SV5: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(467,plain,
! [SV6: name] :
( ( ! [SY174: pi,SY175: late_residual] :
~ ( late_transitions @ ( mismatch @ SV6 @ SV6 @ SY174 ) @ SY175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(468,plain,
! [SV7: $o] :
( ( ( SV7 = $true )
| ( SV7 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[426]) ).
thf(469,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[426]) ).
thf(470,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[426]) ).
thf(471,plain,
! [SV8: name] :
( ( ! [SY176: name,SY177: pi,SY178: pi,SY179: pi] :
( ( mismatch @ SV8 @ SY176 @ SY177 )
!= ( par @ SY178 @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(472,plain,
! [SV9: name] :
( ( ! [SY180: name,SY181: pi,SY182: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV9 @ SY180 @ SY181 ) @ SY182 )
| ~ ! [SY183: pi,SY184: name,SY185: name] :
( ~ ~ ( ~ ~ ( ( SV9 != SY184 )
| ( SY180 != SY185 ) )
| ( SY181 != SY183 ) )
| ~ ( late_transitions @ SY183 @ SY182 )
| ( SY184 = SY185 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(473,plain,
! [SV10: late_residual > $o] :
( ( ! [SY186: late_residual] :
( ~ ! [SY187: late_subject,SY188: name,SY189: pi] : ( SV10 @ ( late_BoundR @ SY187 @ SY188 @ SY189 ) )
| ~ ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) )
| ( SV10 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(474,plain,
! [SV11: name] :
( ( ! [SY192: pi,SY193: pi] :
( ( fresh_name_pi @ SV11 @ ( par @ SY192 @ SY193 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV11 @ SY192 )
| ~ ( fresh_name_pi @ SV11 @ SY193 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(475,plain,
! [SV12: pi] :
( ( ! [SY194: pi,SY195: pi] :
( ( tau @ SV12 )
!= ( par @ SY194 @ SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(476,plain,
! [SV13: pi] :
( ( ! [SY196: late_residual,SY197: pi] :
( ~ ( late_transitions @ SV13 @ SY196 )
| ( late_transitions @ ( sum @ SV13 @ SY197 ) @ SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(477,plain,
! [SV14: pi] :
( ( ! [SY198: late_subject,SY199: name,SY200: pi,SY201: name] :
( ~ ( late_transitions @ SV14 @ ( late_BoundR @ SY198 @ SY199 @ SY200 ) )
| ~ ( fresh_name_pi @ SY201 @ SV14 )
| ~ ( ( SY201 != SY199 ) )
| ( fresh_name_pi @ SY201 @ SY200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(478,plain,
! [SV15: pi] :
( ( ! [SY202: late_residual,SY203: name,SY204: name] :
( ~ ( late_transitions @ SV15 @ SY202 )
| ~ ( ( SY203 != SY204 ) )
| ( late_transitions @ ( mismatch @ SY203 @ SY204 @ SV15 ) @ SY202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(479,plain,
! [SV16: pi] :
( ( ! [SY205: pi,SY206: name,SY207: pi] :
( ( par @ SV16 @ SY205 )
!= ( res @ SY206 @ SY207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(480,plain,
! [SV17: pi] :
( ( ! [SY208: pi,SY209: late_residual] :
( ~ ( late_transitions @ ( sum @ SV17 @ SY208 ) @ SY209 )
| ~ ~ ( late_transitions @ SV17 @ SY209 )
| ( late_transitions @ SY208 @ SY209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(481,plain,
! [SV18: pi] :
( ( ! [SY210: pi,SY211: late_residual] :
( ~ ( late_transitions @ ( sum @ SV18 @ SY210 ) @ SY211 )
| ~ ~ ( late_transitions @ SV18 @ SY211 )
| ( late_transitions @ SY210 @ SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(482,plain,
! [SV19: name] :
( ( ! [SY212: name,SY213: pi,SY214: late_residual,SY215: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV19 @ SY212 @ SY213 ) @ SY214 )
| ~ ( ~ ( late_transitions @ SY213 @ SY214 )
| ( SV19 != SY212 )
| ( SY215 @ SV19 @ SV19 ) )
| ( SY215 @ SV19 @ SY212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(483,plain,
! [SV20: pi] :
( ( ! [SY216: late_residual] :
( ~ ( late_transitions @ ( par @ SV20 @ ( bang @ SV20 ) ) @ SY216 )
| ( late_transitions @ ( bang @ SV20 ) @ SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(484,plain,
! [SV21: pi] :
( ( ! [SY217: pi] :
( piNil
!= ( par @ SV21 @ SY217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(485,plain,
! [SV22: name] :
( ( ! [SY218: name,SY219: pi,SY220: late_residual,SY221: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV22 @ SY218 @ SY219 ) @ SY220 )
| ~ ( ~ ( late_transitions @ SY219 @ SY220 )
| ~ ( ( SV22 != SY218 ) )
| ( SY221 @ SV22 @ SY218 ) )
| ( SY221 @ SV22 @ SY218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(486,plain,
! [SV23: pi] :
( ( ! [SY222: late_freeRes,SY223: pi,SY224: pi] :
( ~ ( late_transitions @ SV23 @ ( late_FreeR @ SY222 @ SY223 ) )
| ( late_transitions @ ( par @ SV23 @ SY224 ) @ ( late_FreeR @ SY222 @ ( par @ SY223 @ SY224 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(487,plain,
! [SV24: pi] :
( ( ! [SY225: late_residual] :
( ~ ( late_transitions @ ( bang @ SV24 ) @ SY225 )
| ~ ! [SY226: pi] :
( ( ( bang @ SV24 )
!= ( bang @ SY226 ) )
| ~ ( late_transitions @ ( par @ SY226 @ ( bang @ SY226 ) ) @ SY225 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(488,plain,
! [SV25: name] :
( ( ! [SY227: name,SY228: pi,SY229: late_residual] :
( ~ ( late_transitions @ ( match @ SV25 @ SY227 @ SY228 ) @ SY229 )
| ( SV25 = SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(489,plain,
! [SV26: late_subject] :
( ( ! [SY230: name,SY231: pi,SY232: late_freeRes,SY233: pi] :
( ( late_BoundR @ SV26 @ SY230 @ SY231 )
!= ( late_FreeR @ SY232 @ SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(490,plain,
! [SV27: pi] :
( ( ! [SY234: late_subject,SY235: name,SY236: pi,SY237: pi] :
( ~ ( late_transitions @ SV27 @ ( late_BoundR @ SY234 @ SY235 @ SY236 ) )
| ~ ( fresh_name_pi @ SY235 @ SY237 )
| ( late_transitions @ ( par @ SV27 @ SY237 ) @ ( late_BoundR @ SY234 @ SY235 @ ( par @ SY236 @ SY237 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(491,plain,
! [SV28: pi] :
( ( ! [SY238: pi,SY239: late_subject,SY240: name,SY241: pi,SY242: pi > $o] :
( ~ ( late_transitions @ ( par @ SV28 @ SY238 ) @ ( late_BoundR @ SY239 @ SY240 @ SY241 ) )
| ~ ( fresh_name_pi @ SY240 @ SV28 )
| ~ ( fresh_name_pi @ SY240 @ SY238 )
| ~ ! [SY243: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SY239 @ SY240 @ SY243 ) )
| ( SY242 @ ( par @ SY243 @ SY238 ) ) )
| ~ ! [SY244: pi] :
( ~ ( late_transitions @ SY238 @ ( late_BoundR @ SY239 @ SY240 @ SY244 ) )
| ( SY242 @ ( par @ SV28 @ SY244 ) ) )
| ( SY242 @ SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(492,plain,
! [SV29: pi] :
( ( ! [SY245: pi,SY246: pi] :
( ( par @ SV29 @ SY245 )
!= ( bang @ SY246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(493,plain,
! [SV30: pi] :
( ( ! [SY247: late_residual,SY248: pi] :
( ~ ( late_transitions @ SV30 @ SY247 )
| ( late_transitions @ ( sum @ SY248 @ SV30 ) @ SY247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(494,plain,
! [SV31: name] :
( ( ! [SY249: name,SY250: pi,SY251: late_residual] :
( ~ ( late_transitions @ ( match @ SV31 @ SY249 @ SY250 ) @ SY251 )
| ~ ! [SY252: pi] :
( ~ ~ ( ( SY249 != SV31 )
| ( SY250 != SY252 ) )
| ~ ( late_transitions @ SY252 @ SY251 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(495,plain,
! [SV32: late_subject] :
( ( ! [SY253: name,SY254: pi,SY255: late_subject,SY256: name,SY257: pi] :
( ( ( late_BoundR @ SV32 @ SY253 @ SY254 )
= ( late_BoundR @ SY255 @ SY256 @ SY257 ) )
= ( ~ ( ( SV32 != SY255 )
| ( ( abs_fun_name_pi @ SY253 @ SY254 )
!= ( abs_fun_name_pi @ SY256 @ SY257 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(496,plain,
! [SV33: name] :
( ( ! [SY258: name,SY259: pi,SY260: pi,SY261: pi] :
( ( input @ SV33 @ SY258 @ SY259 )
!= ( par @ SY260 @ SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(497,plain,
! [SV34: pi] :
( ( ! [SY262: pi,SY263: pi,SY264: pi] :
( ( ( par @ SV34 @ SY262 )
= ( par @ SY263 @ SY264 ) )
= ( ~ ( ( SV34 != SY263 )
| ( SY262 != SY264 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(498,plain,
! [SV35: name] :
( ( ! [SY265: name,SY266: pi,SY267: pi,SY268: pi] :
( ( match @ SV35 @ SY265 @ SY266 )
!= ( par @ SY267 @ SY268 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(499,plain,
! [SV36: name] :
( ( ! [SY269: name,SY270: pi,SY271: pi,SY272: pi] :
( ( output @ SV36 @ SY269 @ SY270 )
!= ( par @ SY271 @ SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(500,plain,
! [SV37: pi] :
( ( ! [SY273: late_subject,SY274: name,SY275: pi,SY276: pi] :
( ~ ( late_transitions @ SV37 @ ( late_BoundR @ SY273 @ SY274 @ SY275 ) )
| ~ ( fresh_name_pi @ SY274 @ SY276 )
| ( late_transitions @ ( par @ SY276 @ SV37 ) @ ( late_BoundR @ SY273 @ SY274 @ ( par @ SY276 @ SY275 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(501,plain,
! [SV38: pi] :
( ( ! [SY277: late_residual,SY278: name] :
( ~ ( late_transitions @ SV38 @ SY277 )
| ( late_transitions @ ( match @ SY278 @ SY278 @ SV38 ) @ SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(502,plain,
! [SV39: pi] :
( ( ! [SY279: late_freeRes,SY280: pi,SY281: pi] :
( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SY279 @ SY280 ) )
| ( late_transitions @ ( par @ SY281 @ SV39 ) @ ( late_FreeR @ SY279 @ ( par @ SY281 @ SY280 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(503,plain,
! [SV40: pi] :
( ( ! [SY282: pi,SY283: pi,SY284: pi] :
( ( sum @ SV40 @ SY282 )
!= ( par @ SY283 @ SY284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(504,plain,
( ( ~ ! [SX0: pi] :
~ ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SX0 ) )
| ~ ( strong2129052853vative @ SX0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(505,plain,
! [SV41: late_subject,SV1: pi] :
( ( ! [SY285: name,SY286: pi] :
~ ( late_transitions @ ( tau @ SV1 ) @ ( late_BoundR @ SV41 @ SY285 @ SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(506,plain,
! [SV42: name,SV2: name] :
( ( ! [SY287: pi,SY288: late_subject,SY289: name,SY290: pi] :
~ ( late_transitions @ ( output @ SV2 @ SV42 @ SY287 ) @ ( late_BoundR @ SY288 @ SY289 @ SY290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(507,plain,
! [SV43: pi,SV3: pi] :
( ( ! [SY291: name,SY292: name] :
( ( subs @ ( par @ SV3 @ SV43 ) @ SY291 @ SY292 )
= ( par @ ( subs @ SV3 @ SY291 @ SY292 ) @ ( subs @ SV43 @ SY291 @ SY292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(508,plain,
! [SV4: late_residual] :
( ( late_transitions @ piNil @ SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(509,plain,
! [SV5: late_residual] :
( ( late_transitions @ piNil @ SV5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(510,plain,
! [SV44: pi,SV6: name] :
( ( ! [SY293: late_residual] :
~ ( late_transitions @ ( mismatch @ SV6 @ SV6 @ SV44 ) @ SY293 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(511,plain,
! [SV7: $o] :
( ( ( SV7 = $true )
= $true )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(512,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(513,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(514,plain,
! [SV45: name,SV8: name] :
( ( ! [SY294: pi,SY295: pi,SY296: pi] :
( ( mismatch @ SV8 @ SV45 @ SY294 )
!= ( par @ SY295 @ SY296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(515,plain,
! [SV46: name,SV9: name] :
( ( ! [SY297: pi,SY298: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SY297 ) @ SY298 )
| ~ ! [SY299: pi,SY300: name,SY301: name] :
( ~ ~ ( ~ ~ ( ( SV9 != SY300 )
| ( SV46 != SY301 ) )
| ( SY297 != SY299 ) )
| ~ ( late_transitions @ SY299 @ SY298 )
| ( SY300 = SY301 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(516,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ~ ! [SY187: late_subject,SY188: name,SY189: pi] : ( SV10 @ ( late_BoundR @ SY187 @ SY188 @ SY189 ) )
| ~ ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) )
| ( SV10 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(517,plain,
! [SV48: pi,SV11: name] :
( ( ! [SY307: pi] :
( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SY307 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SY307 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(518,plain,
! [SV49: pi,SV12: pi] :
( ( ! [SY308: pi] :
( ( tau @ SV12 )
!= ( par @ SV49 @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(519,plain,
! [SV50: late_residual,SV13: pi] :
( ( ! [SY309: pi] :
( ~ ( late_transitions @ SV13 @ SV50 )
| ( late_transitions @ ( sum @ SV13 @ SY309 ) @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(520,plain,
! [SV51: late_subject,SV14: pi] :
( ( ! [SY310: name,SY311: pi,SY312: name] :
( ~ ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SY310 @ SY311 ) )
| ~ ( fresh_name_pi @ SY312 @ SV14 )
| ~ ( ( SY312 != SY310 ) )
| ( fresh_name_pi @ SY312 @ SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(521,plain,
! [SV52: late_residual,SV15: pi] :
( ( ! [SY313: name,SY314: name] :
( ~ ( late_transitions @ SV15 @ SV52 )
| ~ ( ( SY313 != SY314 ) )
| ( late_transitions @ ( mismatch @ SY313 @ SY314 @ SV15 ) @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(522,plain,
! [SV53: pi,SV16: pi] :
( ( ! [SY315: name,SY316: pi] :
( ( par @ SV16 @ SV53 )
!= ( res @ SY315 @ SY316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(523,plain,
! [SV54: pi,SV17: pi] :
( ( ! [SY317: late_residual] :
( ~ ( late_transitions @ ( sum @ SV17 @ SV54 ) @ SY317 )
| ~ ~ ( late_transitions @ SV17 @ SY317 )
| ( late_transitions @ SV54 @ SY317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(524,plain,
! [SV55: pi,SV18: pi] :
( ( ! [SY318: late_residual] :
( ~ ( late_transitions @ ( sum @ SV18 @ SV55 ) @ SY318 )
| ~ ~ ( late_transitions @ SV18 @ SY318 )
| ( late_transitions @ SV55 @ SY318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(525,plain,
! [SV56: name,SV19: name] :
( ( ! [SY319: pi,SY320: late_residual,SY321: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV19 @ SV56 @ SY319 ) @ SY320 )
| ~ ( ~ ( late_transitions @ SY319 @ SY320 )
| ( SV19 != SV56 )
| ( SY321 @ SV19 @ SV19 ) )
| ( SY321 @ SV19 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(526,plain,
! [SV57: late_residual,SV20: pi] :
( ( ~ ( late_transitions @ ( par @ SV20 @ ( bang @ SV20 ) ) @ SV57 )
| ( late_transitions @ ( bang @ SV20 ) @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(527,plain,
! [SV58: pi,SV21: pi] :
( ( piNil
!= ( par @ SV21 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(528,plain,
! [SV59: name,SV22: name] :
( ( ! [SY322: pi,SY323: late_residual,SY324: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SY322 ) @ SY323 )
| ~ ( ~ ( late_transitions @ SY322 @ SY323 )
| ~ ( ( SV22 != SV59 ) )
| ( SY324 @ SV22 @ SV59 ) )
| ( SY324 @ SV22 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(529,plain,
! [SV60: late_freeRes,SV23: pi] :
( ( ! [SY325: pi,SY326: pi] :
( ~ ( late_transitions @ SV23 @ ( late_FreeR @ SV60 @ SY325 ) )
| ( late_transitions @ ( par @ SV23 @ SY326 ) @ ( late_FreeR @ SV60 @ ( par @ SY325 @ SY326 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(530,plain,
! [SV61: late_residual,SV24: pi] :
( ( ~ ( late_transitions @ ( bang @ SV24 ) @ SV61 )
| ~ ! [SY327: pi] :
( ( ( bang @ SV24 )
!= ( bang @ SY327 ) )
| ~ ( late_transitions @ ( par @ SY327 @ ( bang @ SY327 ) ) @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(531,plain,
! [SV62: name,SV25: name] :
( ( ! [SY328: pi,SY329: late_residual] :
( ~ ( late_transitions @ ( match @ SV25 @ SV62 @ SY328 ) @ SY329 )
| ( SV25 = SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(532,plain,
! [SV63: name,SV26: late_subject] :
( ( ! [SY330: pi,SY331: late_freeRes,SY332: pi] :
( ( late_BoundR @ SV26 @ SV63 @ SY330 )
!= ( late_FreeR @ SY331 @ SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(533,plain,
! [SV64: late_subject,SV27: pi] :
( ( ! [SY333: name,SY334: pi,SY335: pi] :
( ~ ( late_transitions @ SV27 @ ( late_BoundR @ SV64 @ SY333 @ SY334 ) )
| ~ ( fresh_name_pi @ SY333 @ SY335 )
| ( late_transitions @ ( par @ SV27 @ SY335 ) @ ( late_BoundR @ SV64 @ SY333 @ ( par @ SY334 @ SY335 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(534,plain,
! [SV65: pi,SV28: pi] :
( ( ! [SY336: late_subject,SY337: name,SY338: pi,SY339: pi > $o] :
( ~ ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SY336 @ SY337 @ SY338 ) )
| ~ ( fresh_name_pi @ SY337 @ SV28 )
| ~ ( fresh_name_pi @ SY337 @ SV65 )
| ~ ! [SY340: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SY336 @ SY337 @ SY340 ) )
| ( SY339 @ ( par @ SY340 @ SV65 ) ) )
| ~ ! [SY341: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SY336 @ SY337 @ SY341 ) )
| ( SY339 @ ( par @ SV28 @ SY341 ) ) )
| ( SY339 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(535,plain,
! [SV66: pi,SV29: pi] :
( ( ! [SY342: pi] :
( ( par @ SV29 @ SV66 )
!= ( bang @ SY342 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(536,plain,
! [SV67: late_residual,SV30: pi] :
( ( ! [SY343: pi] :
( ~ ( late_transitions @ SV30 @ SV67 )
| ( late_transitions @ ( sum @ SY343 @ SV30 ) @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(537,plain,
! [SV68: name,SV31: name] :
( ( ! [SY344: pi,SY345: late_residual] :
( ~ ( late_transitions @ ( match @ SV31 @ SV68 @ SY344 ) @ SY345 )
| ~ ! [SY346: pi] :
( ~ ~ ( ( SV68 != SV31 )
| ( SY344 != SY346 ) )
| ~ ( late_transitions @ SY346 @ SY345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(538,plain,
! [SV69: name,SV32: late_subject] :
( ( ! [SY347: pi,SY348: late_subject,SY349: name,SY350: pi] :
( ( ( late_BoundR @ SV32 @ SV69 @ SY347 )
= ( late_BoundR @ SY348 @ SY349 @ SY350 ) )
= ( ~ ( ( SV32 != SY348 )
| ( ( abs_fun_name_pi @ SV69 @ SY347 )
!= ( abs_fun_name_pi @ SY349 @ SY350 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(539,plain,
! [SV70: name,SV33: name] :
( ( ! [SY351: pi,SY352: pi,SY353: pi] :
( ( input @ SV33 @ SV70 @ SY351 )
!= ( par @ SY352 @ SY353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(540,plain,
! [SV71: pi,SV34: pi] :
( ( ! [SY354: pi,SY355: pi] :
( ( ( par @ SV34 @ SV71 )
= ( par @ SY354 @ SY355 ) )
= ( ~ ( ( SV34 != SY354 )
| ( SV71 != SY355 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(541,plain,
! [SV72: name,SV35: name] :
( ( ! [SY356: pi,SY357: pi,SY358: pi] :
( ( match @ SV35 @ SV72 @ SY356 )
!= ( par @ SY357 @ SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(542,plain,
! [SV73: name,SV36: name] :
( ( ! [SY359: pi,SY360: pi,SY361: pi] :
( ( output @ SV36 @ SV73 @ SY359 )
!= ( par @ SY360 @ SY361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(543,plain,
! [SV74: late_subject,SV37: pi] :
( ( ! [SY362: name,SY363: pi,SY364: pi] :
( ~ ( late_transitions @ SV37 @ ( late_BoundR @ SV74 @ SY362 @ SY363 ) )
| ~ ( fresh_name_pi @ SY362 @ SY364 )
| ( late_transitions @ ( par @ SY364 @ SV37 ) @ ( late_BoundR @ SV74 @ SY362 @ ( par @ SY364 @ SY363 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(544,plain,
! [SV75: late_residual,SV38: pi] :
( ( ! [SY365: name] :
( ~ ( late_transitions @ SV38 @ SV75 )
| ( late_transitions @ ( match @ SY365 @ SY365 @ SV38 ) @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(545,plain,
! [SV76: late_freeRes,SV39: pi] :
( ( ! [SY366: pi,SY367: pi] :
( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SV76 @ SY366 ) )
| ( late_transitions @ ( par @ SY367 @ SV39 ) @ ( late_FreeR @ SV76 @ ( par @ SY367 @ SY366 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(546,plain,
! [SV77: pi,SV40: pi] :
( ( ! [SY368: pi,SY369: pi] :
( ( sum @ SV40 @ SV77 )
!= ( par @ SY368 @ SY369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(547,plain,
( ( ! [SX0: pi] :
~ ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SX0 ) )
| ~ ( strong2129052853vative @ SX0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(548,plain,
! [SV78: name,SV41: late_subject,SV1: pi] :
( ( ! [SY370: pi] :
~ ( late_transitions @ ( tau @ SV1 ) @ ( late_BoundR @ SV41 @ SV78 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(549,plain,
! [SV79: pi,SV42: name,SV2: name] :
( ( ! [SY371: late_subject,SY372: name,SY373: pi] :
~ ( late_transitions @ ( output @ SV2 @ SV42 @ SV79 ) @ ( late_BoundR @ SY371 @ SY372 @ SY373 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(550,plain,
! [SV80: name,SV43: pi,SV3: pi] :
( ( ! [SY374: name] :
( ( subs @ ( par @ SV3 @ SV43 ) @ SV80 @ SY374 )
= ( par @ ( subs @ SV3 @ SV80 @ SY374 ) @ ( subs @ SV43 @ SV80 @ SY374 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(551,plain,
! [SV81: late_residual,SV44: pi,SV6: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV6 @ SV6 @ SV44 ) @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(552,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $true )
| ~ ( ~ SV7
| ~ $true ) )
= $true )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(553,plain,
! [SV7: $o] :
( ( ( SV7 = $true )
= $true )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(554,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[512]) ).
thf(555,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[512]) ).
thf(556,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(557,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(558,plain,
! [SV82: pi,SV45: name,SV8: name] :
( ( ! [SY375: pi,SY376: pi] :
( ( mismatch @ SV8 @ SV45 @ SV82 )
!= ( par @ SY375 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(559,plain,
! [SV83: pi,SV46: name,SV9: name] :
( ( ! [SY377: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SY377 )
| ~ ! [SY378: pi,SY379: name,SY380: name] :
( ~ ~ ( ~ ~ ( ( SV9 != SY379 )
| ( SV46 != SY380 ) )
| ( SV83 != SY378 ) )
| ~ ( late_transitions @ SY378 @ SY377 )
| ( SY379 = SY380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(560,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( ~ ! [SY187: late_subject,SY188: name,SY189: pi] : ( SV10 @ ( late_BoundR @ SY187 @ SY188 @ SY189 ) ) )
= $true )
| ( ( ~ ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) )
| ( SV10 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(561,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(562,plain,
! [SV85: pi,SV49: pi,SV12: pi] :
( ( ( tau @ SV12 )
!= ( par @ SV49 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(563,plain,
! [SV86: pi,SV50: late_residual,SV13: pi] :
( ( ~ ( late_transitions @ SV13 @ SV50 )
| ( late_transitions @ ( sum @ SV13 @ SV86 ) @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(564,plain,
! [SV87: name,SV51: late_subject,SV14: pi] :
( ( ! [SY381: pi,SY382: name] :
( ~ ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SY381 ) )
| ~ ( fresh_name_pi @ SY382 @ SV14 )
| ~ ( ( SY382 != SV87 ) )
| ( fresh_name_pi @ SY382 @ SY381 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(565,plain,
! [SV88: name,SV52: late_residual,SV15: pi] :
( ( ! [SY383: name] :
( ~ ( late_transitions @ SV15 @ SV52 )
| ~ ( ( SV88 != SY383 ) )
| ( late_transitions @ ( mismatch @ SV88 @ SY383 @ SV15 ) @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(566,plain,
! [SV89: name,SV53: pi,SV16: pi] :
( ( ! [SY384: pi] :
( ( par @ SV16 @ SV53 )
!= ( res @ SV89 @ SY384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(567,plain,
! [SV90: late_residual,SV54: pi,SV17: pi] :
( ( ~ ( late_transitions @ ( sum @ SV17 @ SV54 ) @ SV90 )
| ~ ~ ( late_transitions @ SV17 @ SV90 )
| ( late_transitions @ SV54 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(568,plain,
! [SV91: late_residual,SV55: pi,SV18: pi] :
( ( ~ ( late_transitions @ ( sum @ SV18 @ SV55 ) @ SV91 )
| ~ ~ ( late_transitions @ SV18 @ SV91 )
| ( late_transitions @ SV55 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(569,plain,
! [SV92: pi,SV56: name,SV19: name] :
( ( ! [SY385: late_residual,SY386: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SY385 )
| ~ ( ~ ( late_transitions @ SV92 @ SY385 )
| ( SV19 != SV56 )
| ( SY386 @ SV19 @ SV19 ) )
| ( SY386 @ SV19 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(570,plain,
! [SV57: late_residual,SV20: pi] :
( ( ( ~ ( late_transitions @ ( par @ SV20 @ ( bang @ SV20 ) ) @ SV57 ) )
= $true )
| ( ( late_transitions @ ( bang @ SV20 ) @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(571,plain,
! [SV58: pi,SV21: pi] :
( ( piNil
= ( par @ SV21 @ SV58 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(572,plain,
! [SV93: pi,SV59: name,SV22: name] :
( ( ! [SY387: late_residual,SY388: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SY387 )
| ~ ( ~ ( late_transitions @ SV93 @ SY387 )
| ~ ( ( SV22 != SV59 ) )
| ( SY388 @ SV22 @ SV59 ) )
| ( SY388 @ SV22 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(573,plain,
! [SV94: pi,SV60: late_freeRes,SV23: pi] :
( ( ! [SY389: pi] :
( ~ ( late_transitions @ SV23 @ ( late_FreeR @ SV60 @ SV94 ) )
| ( late_transitions @ ( par @ SV23 @ SY389 ) @ ( late_FreeR @ SV60 @ ( par @ SV94 @ SY389 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(574,plain,
! [SV61: late_residual,SV24: pi] :
( ( ( ~ ( late_transitions @ ( bang @ SV24 ) @ SV61 ) )
= $true )
| ( ( ~ ! [SY327: pi] :
( ( ( bang @ SV24 )
!= ( bang @ SY327 ) )
| ~ ( late_transitions @ ( par @ SY327 @ ( bang @ SY327 ) ) @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(575,plain,
! [SV95: pi,SV62: name,SV25: name] :
( ( ! [SY390: late_residual] :
( ~ ( late_transitions @ ( match @ SV25 @ SV62 @ SV95 ) @ SY390 )
| ( SV25 = SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(576,plain,
! [SV96: pi,SV63: name,SV26: late_subject] :
( ( ! [SY391: late_freeRes,SY392: pi] :
( ( late_BoundR @ SV26 @ SV63 @ SV96 )
!= ( late_FreeR @ SY391 @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(577,plain,
! [SV97: name,SV64: late_subject,SV27: pi] :
( ( ! [SY393: pi,SY394: pi] :
( ~ ( late_transitions @ SV27 @ ( late_BoundR @ SV64 @ SV97 @ SY393 ) )
| ~ ( fresh_name_pi @ SV97 @ SY394 )
| ( late_transitions @ ( par @ SV27 @ SY394 ) @ ( late_BoundR @ SV64 @ SV97 @ ( par @ SY393 @ SY394 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(578,plain,
! [SV98: late_subject,SV65: pi,SV28: pi] :
( ( ! [SY395: name,SY396: pi,SY397: pi > $o] :
( ~ ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SY395 @ SY396 ) )
| ~ ( fresh_name_pi @ SY395 @ SV28 )
| ~ ( fresh_name_pi @ SY395 @ SV65 )
| ~ ! [SY398: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SY395 @ SY398 ) )
| ( SY397 @ ( par @ SY398 @ SV65 ) ) )
| ~ ! [SY399: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SY395 @ SY399 ) )
| ( SY397 @ ( par @ SV28 @ SY399 ) ) )
| ( SY397 @ SY396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(579,plain,
! [SV99: pi,SV66: pi,SV29: pi] :
( ( ( par @ SV29 @ SV66 )
!= ( bang @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(580,plain,
! [SV100: pi,SV67: late_residual,SV30: pi] :
( ( ~ ( late_transitions @ SV30 @ SV67 )
| ( late_transitions @ ( sum @ SV100 @ SV30 ) @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(581,plain,
! [SV101: pi,SV68: name,SV31: name] :
( ( ! [SY400: late_residual] :
( ~ ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SY400 )
| ~ ! [SY401: pi] :
( ~ ~ ( ( SV68 != SV31 )
| ( SV101 != SY401 ) )
| ~ ( late_transitions @ SY401 @ SY400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(582,plain,
! [SV102: pi,SV69: name,SV32: late_subject] :
( ( ! [SY402: late_subject,SY403: name,SY404: pi] :
( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SY402 @ SY403 @ SY404 ) )
= ( ~ ( ( SV32 != SY402 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SY403 @ SY404 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(583,plain,
! [SV103: pi,SV70: name,SV33: name] :
( ( ! [SY405: pi,SY406: pi] :
( ( input @ SV33 @ SV70 @ SV103 )
!= ( par @ SY405 @ SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(584,plain,
! [SV104: pi,SV71: pi,SV34: pi] :
( ( ! [SY407: pi] :
( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SY407 ) )
= ( ~ ( ( SV34 != SV104 )
| ( SV71 != SY407 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(585,plain,
! [SV105: pi,SV72: name,SV35: name] :
( ( ! [SY408: pi,SY409: pi] :
( ( match @ SV35 @ SV72 @ SV105 )
!= ( par @ SY408 @ SY409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(586,plain,
! [SV106: pi,SV73: name,SV36: name] :
( ( ! [SY410: pi,SY411: pi] :
( ( output @ SV36 @ SV73 @ SV106 )
!= ( par @ SY410 @ SY411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(587,plain,
! [SV107: name,SV74: late_subject,SV37: pi] :
( ( ! [SY412: pi,SY413: pi] :
( ~ ( late_transitions @ SV37 @ ( late_BoundR @ SV74 @ SV107 @ SY412 ) )
| ~ ( fresh_name_pi @ SV107 @ SY413 )
| ( late_transitions @ ( par @ SY413 @ SV37 ) @ ( late_BoundR @ SV74 @ SV107 @ ( par @ SY413 @ SY412 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(588,plain,
! [SV108: name,SV75: late_residual,SV38: pi] :
( ( ~ ( late_transitions @ SV38 @ SV75 )
| ( late_transitions @ ( match @ SV108 @ SV108 @ SV38 ) @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(589,plain,
! [SV109: pi,SV76: late_freeRes,SV39: pi] :
( ( ! [SY414: pi] :
( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SV76 @ SV109 ) )
| ( late_transitions @ ( par @ SY414 @ SV39 ) @ ( late_FreeR @ SV76 @ ( par @ SY414 @ SV109 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(590,plain,
! [SV110: pi,SV77: pi,SV40: pi] :
( ( ! [SY415: pi] :
( ( sum @ SV40 @ SV77 )
!= ( par @ SV110 @ SY415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(591,plain,
! [SV111: pi] :
( ( ~ ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SV111 ) )
| ~ ( strong2129052853vative @ SV111 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(592,plain,
! [SV112: pi,SV78: name,SV41: late_subject,SV1: pi] :
( ( ~ ( late_transitions @ ( tau @ SV1 ) @ ( late_BoundR @ SV41 @ SV78 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(593,plain,
! [SV113: late_subject,SV79: pi,SV42: name,SV2: name] :
( ( ! [SY416: name,SY417: pi] :
~ ( late_transitions @ ( output @ SV2 @ SV42 @ SV79 ) @ ( late_BoundR @ SV113 @ SY416 @ SY417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(594,plain,
! [SV114: name,SV80: name,SV43: pi,SV3: pi] :
( ( ( subs @ ( par @ SV3 @ SV43 ) @ SV80 @ SV114 )
= ( par @ ( subs @ SV3 @ SV80 @ SV114 ) @ ( subs @ SV43 @ SV80 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(595,plain,
! [SV81: late_residual,SV44: pi,SV6: name] :
( ( late_transitions @ ( mismatch @ SV6 @ SV6 @ SV44 ) @ SV81 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(596,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $true ) )
= $true )
| ( ( ~ ( ~ SV7
| ~ $true ) )
= $true )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(597,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false )
| ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[553]) ).
thf(598,plain,
! [SV7: $o] :
( ( ( SV7 = $false )
= $true )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[553]) ).
thf(599,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(600,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(601,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(602,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(603,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(604,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(605,plain,
! [SV115: pi,SV82: pi,SV45: name,SV8: name] :
( ( ! [SY418: pi] :
( ( mismatch @ SV8 @ SV45 @ SV82 )
!= ( par @ SV115 @ SY418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(606,plain,
! [SV116: late_residual,SV83: pi,SV46: name,SV9: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
| ~ ! [SY419: pi,SY420: name,SY421: name] :
( ~ ~ ( ~ ~ ( ( SV9 != SY420 )
| ( SV46 != SY421 ) )
| ( SV83 != SY419 ) )
| ~ ( late_transitions @ SY419 @ SV116 )
| ( SY420 = SY421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(607,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( ! [SY187: late_subject,SY188: name,SY189: pi] : ( SV10 @ ( late_BoundR @ SY187 @ SY188 @ SY189 ) ) )
= $false )
| ( ( ~ ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) )
| ( SV10 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(608,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ~ ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
| ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(609,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(610,plain,
! [SV85: pi,SV49: pi,SV12: pi] :
( ( ( tau @ SV12 )
= ( par @ SV49 @ SV85 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(611,plain,
! [SV86: pi,SV50: late_residual,SV13: pi] :
( ( ( ~ ( late_transitions @ SV13 @ SV50 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV13 @ SV86 ) @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[563]) ).
thf(612,plain,
! [SV117: pi,SV87: name,SV51: late_subject,SV14: pi] :
( ( ! [SY422: name] :
( ~ ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) )
| ~ ( fresh_name_pi @ SY422 @ SV14 )
| ~ ( ( SY422 != SV87 ) )
| ( fresh_name_pi @ SY422 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(613,plain,
! [SV118: name,SV88: name,SV52: late_residual,SV15: pi] :
( ( ~ ( late_transitions @ SV15 @ SV52 )
| ~ ( ( SV88 != SV118 ) )
| ( late_transitions @ ( mismatch @ SV88 @ SV118 @ SV15 ) @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(614,plain,
! [SV119: pi,SV89: name,SV53: pi,SV16: pi] :
( ( ( par @ SV16 @ SV53 )
!= ( res @ SV89 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(615,plain,
! [SV90: late_residual,SV54: pi,SV17: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV17 @ SV54 ) @ SV90 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV17 @ SV90 )
| ( late_transitions @ SV54 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(616,plain,
! [SV91: late_residual,SV55: pi,SV18: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV18 @ SV55 ) @ SV91 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV18 @ SV91 )
| ( late_transitions @ SV55 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(617,plain,
! [SV120: late_residual,SV92: pi,SV56: name,SV19: name] :
( ( ! [SY423: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
| ~ ( ~ ( late_transitions @ SV92 @ SV120 )
| ( SV19 != SV56 )
| ( SY423 @ SV19 @ SV19 ) )
| ( SY423 @ SV19 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(618,plain,
! [SV57: late_residual,SV20: pi] :
( ( ( late_transitions @ ( par @ SV20 @ ( bang @ SV20 ) ) @ SV57 )
= $false )
| ( ( late_transitions @ ( bang @ SV20 ) @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(619,plain,
! [SV121: late_residual,SV93: pi,SV59: name,SV22: name] :
( ( ! [SY424: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
| ~ ( ~ ( late_transitions @ SV93 @ SV121 )
| ~ ( ( SV22 != SV59 ) )
| ( SY424 @ SV22 @ SV59 ) )
| ( SY424 @ SV22 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(620,plain,
! [SV122: pi,SV94: pi,SV60: late_freeRes,SV23: pi] :
( ( ~ ( late_transitions @ SV23 @ ( late_FreeR @ SV60 @ SV94 ) )
| ( late_transitions @ ( par @ SV23 @ SV122 ) @ ( late_FreeR @ SV60 @ ( par @ SV94 @ SV122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(621,plain,
! [SV61: late_residual,SV24: pi] :
( ( ( late_transitions @ ( bang @ SV24 ) @ SV61 )
= $false )
| ( ( ~ ! [SY327: pi] :
( ( ( bang @ SV24 )
!= ( bang @ SY327 ) )
| ~ ( late_transitions @ ( par @ SY327 @ ( bang @ SY327 ) ) @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(622,plain,
! [SV123: late_residual,SV95: pi,SV62: name,SV25: name] :
( ( ~ ( late_transitions @ ( match @ SV25 @ SV62 @ SV95 ) @ SV123 )
| ( SV25 = SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(623,plain,
! [SV124: late_freeRes,SV96: pi,SV63: name,SV26: late_subject] :
( ( ! [SY425: pi] :
( ( late_BoundR @ SV26 @ SV63 @ SV96 )
!= ( late_FreeR @ SV124 @ SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(624,plain,
! [SV125: pi,SV97: name,SV64: late_subject,SV27: pi] :
( ( ! [SY426: pi] :
( ~ ( late_transitions @ SV27 @ ( late_BoundR @ SV64 @ SV97 @ SV125 ) )
| ~ ( fresh_name_pi @ SV97 @ SY426 )
| ( late_transitions @ ( par @ SV27 @ SY426 ) @ ( late_BoundR @ SV64 @ SV97 @ ( par @ SV125 @ SY426 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(625,plain,
! [SV126: name,SV98: late_subject,SV65: pi,SV28: pi] :
( ( ! [SY427: pi,SY428: pi > $o] :
( ~ ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SY427 ) )
| ~ ( fresh_name_pi @ SV126 @ SV28 )
| ~ ( fresh_name_pi @ SV126 @ SV65 )
| ~ ! [SY429: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY429 ) )
| ( SY428 @ ( par @ SY429 @ SV65 ) ) )
| ~ ! [SY430: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY430 ) )
| ( SY428 @ ( par @ SV28 @ SY430 ) ) )
| ( SY428 @ SY427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(626,plain,
! [SV99: pi,SV66: pi,SV29: pi] :
( ( ( par @ SV29 @ SV66 )
= ( bang @ SV99 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(627,plain,
! [SV100: pi,SV67: late_residual,SV30: pi] :
( ( ( ~ ( late_transitions @ SV30 @ SV67 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV100 @ SV30 ) @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(628,plain,
! [SV127: late_residual,SV101: pi,SV68: name,SV31: name] :
( ( ~ ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
| ~ ! [SY431: pi] :
( ~ ~ ( ( SV68 != SV31 )
| ( SV101 != SY431 ) )
| ~ ( late_transitions @ SY431 @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(629,plain,
! [SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ! [SY432: name,SY433: pi] :
( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SY432 @ SY433 ) )
= ( ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SY432 @ SY433 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(630,plain,
! [SV129: pi,SV103: pi,SV70: name,SV33: name] :
( ( ! [SY434: pi] :
( ( input @ SV33 @ SV70 @ SV103 )
!= ( par @ SV129 @ SY434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(631,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= ( ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(632,plain,
! [SV131: pi,SV105: pi,SV72: name,SV35: name] :
( ( ! [SY435: pi] :
( ( match @ SV35 @ SV72 @ SV105 )
!= ( par @ SV131 @ SY435 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(633,plain,
! [SV132: pi,SV106: pi,SV73: name,SV36: name] :
( ( ! [SY436: pi] :
( ( output @ SV36 @ SV73 @ SV106 )
!= ( par @ SV132 @ SY436 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(634,plain,
! [SV133: pi,SV107: name,SV74: late_subject,SV37: pi] :
( ( ! [SY437: pi] :
( ~ ( late_transitions @ SV37 @ ( late_BoundR @ SV74 @ SV107 @ SV133 ) )
| ~ ( fresh_name_pi @ SV107 @ SY437 )
| ( late_transitions @ ( par @ SY437 @ SV37 ) @ ( late_BoundR @ SV74 @ SV107 @ ( par @ SY437 @ SV133 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(635,plain,
! [SV108: name,SV75: late_residual,SV38: pi] :
( ( ( ~ ( late_transitions @ SV38 @ SV75 ) )
= $true )
| ( ( late_transitions @ ( match @ SV108 @ SV108 @ SV38 ) @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(636,plain,
! [SV134: pi,SV109: pi,SV76: late_freeRes,SV39: pi] :
( ( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SV76 @ SV109 ) )
| ( late_transitions @ ( par @ SV134 @ SV39 ) @ ( late_FreeR @ SV76 @ ( par @ SV134 @ SV109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(637,plain,
! [SV135: pi,SV110: pi,SV77: pi,SV40: pi] :
( ( ( sum @ SV40 @ SV77 )
!= ( par @ SV110 @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(638,plain,
! [SV111: pi] :
( ( ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SV111 ) )
| ~ ( strong2129052853vative @ SV111 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(639,plain,
! [SV112: pi,SV78: name,SV41: late_subject,SV1: pi] :
( ( late_transitions @ ( tau @ SV1 ) @ ( late_BoundR @ SV41 @ SV78 @ SV112 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(640,plain,
! [SV136: name,SV113: late_subject,SV79: pi,SV42: name,SV2: name] :
( ( ! [SY438: pi] :
~ ( late_transitions @ ( output @ SV2 @ SV42 @ SV79 ) @ ( late_BoundR @ SV113 @ SV136 @ SY438 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(641,plain,
! [SV7: $o] :
( ( ( SV7
| $true )
= $false )
| ( ( ~ ( ~ SV7
| ~ $true ) )
= $true )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(642,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false ) )
= $true )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(643,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(644,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(645,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(646,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(647,plain,
! [SV137: pi,SV115: pi,SV82: pi,SV45: name,SV8: name] :
( ( ( mismatch @ SV8 @ SV45 @ SV82 )
!= ( par @ SV115 @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(648,plain,
! [SV116: late_residual,SV83: pi,SV46: name,SV9: name] :
( ( ( ~ ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 ) )
= $true )
| ( ( ~ ! [SY419: pi,SY420: name,SY421: name] :
( ~ ~ ( ~ ~ ( ( SV9 != SY420 )
| ( SV46 != SY421 ) )
| ( SV83 != SY419 ) )
| ~ ( late_transitions @ SY419 @ SV116 )
| ( SY420 = SY421 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(649,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( ! [SY439: name,SY440: pi] : ( SV10 @ ( late_BoundR @ ( sK1_SY187 @ SV47 @ SV10 ) @ SY439 @ SY440 ) ) )
= $false )
| ( ( ~ ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) )
| ( SV10 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[607]) ).
thf(650,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(651,plain,
! [SV86: pi,SV50: late_residual,SV13: pi] :
( ( ( late_transitions @ SV13 @ SV50 )
= $false )
| ( ( late_transitions @ ( sum @ SV13 @ SV86 ) @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(652,plain,
! [SV138: name,SV117: pi,SV87: name,SV51: late_subject,SV14: pi] :
( ( ~ ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) )
| ~ ( fresh_name_pi @ SV138 @ SV14 )
| ~ ( ( SV138 != SV87 ) )
| ( fresh_name_pi @ SV138 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(653,plain,
! [SV118: name,SV88: name,SV52: late_residual,SV15: pi] :
( ( ( ~ ( late_transitions @ SV15 @ SV52 ) )
= $true )
| ( ( ~ ( ( SV88 != SV118 ) )
| ( late_transitions @ ( mismatch @ SV88 @ SV118 @ SV15 ) @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(654,plain,
! [SV119: pi,SV89: name,SV53: pi,SV16: pi] :
( ( ( par @ SV16 @ SV53 )
= ( res @ SV89 @ SV119 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(655,plain,
! [SV90: late_residual,SV54: pi,SV17: pi] :
( ( ( late_transitions @ ( sum @ SV17 @ SV54 ) @ SV90 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV17 @ SV90 )
| ( late_transitions @ SV54 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(656,plain,
! [SV91: late_residual,SV55: pi,SV18: pi] :
( ( ( late_transitions @ ( sum @ SV18 @ SV55 ) @ SV91 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV18 @ SV91 )
| ( late_transitions @ SV55 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(657,plain,
! [SV139: name > name > $o,SV120: late_residual,SV92: pi,SV56: name,SV19: name] :
( ( ~ ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
| ~ ( ~ ( late_transitions @ SV92 @ SV120 )
| ( SV19 != SV56 )
| ( SV139 @ SV19 @ SV19 ) )
| ( SV139 @ SV19 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(658,plain,
! [SV140: name > name > $o,SV121: late_residual,SV93: pi,SV59: name,SV22: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
| ~ ( ~ ( late_transitions @ SV93 @ SV121 )
| ~ ( ( SV22 != SV59 ) )
| ( SV140 @ SV22 @ SV59 ) )
| ( SV140 @ SV22 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(659,plain,
! [SV122: pi,SV94: pi,SV60: late_freeRes,SV23: pi] :
( ( ( ~ ( late_transitions @ SV23 @ ( late_FreeR @ SV60 @ SV94 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV23 @ SV122 ) @ ( late_FreeR @ SV60 @ ( par @ SV94 @ SV122 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(660,plain,
! [SV61: late_residual,SV24: pi] :
( ( ( ! [SY327: pi] :
( ( ( bang @ SV24 )
!= ( bang @ SY327 ) )
| ~ ( late_transitions @ ( par @ SY327 @ ( bang @ SY327 ) ) @ SV61 ) ) )
= $false )
| ( ( late_transitions @ ( bang @ SV24 ) @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(661,plain,
! [SV123: late_residual,SV95: pi,SV62: name,SV25: name] :
( ( ( ~ ( late_transitions @ ( match @ SV25 @ SV62 @ SV95 ) @ SV123 ) )
= $true )
| ( ( SV25 = SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(662,plain,
! [SV141: pi,SV124: late_freeRes,SV96: pi,SV63: name,SV26: late_subject] :
( ( ( late_BoundR @ SV26 @ SV63 @ SV96 )
!= ( late_FreeR @ SV124 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(663,plain,
! [SV142: pi,SV125: pi,SV97: name,SV64: late_subject,SV27: pi] :
( ( ~ ( late_transitions @ SV27 @ ( late_BoundR @ SV64 @ SV97 @ SV125 ) )
| ~ ( fresh_name_pi @ SV97 @ SV142 )
| ( late_transitions @ ( par @ SV27 @ SV142 ) @ ( late_BoundR @ SV64 @ SV97 @ ( par @ SV125 @ SV142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(664,plain,
! [SV143: pi,SV126: name,SV98: late_subject,SV65: pi,SV28: pi] :
( ( ! [SY441: pi > $o] :
( ~ ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
| ~ ( fresh_name_pi @ SV126 @ SV28 )
| ~ ( fresh_name_pi @ SV126 @ SV65 )
| ~ ! [SY429: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY429 ) )
| ( SY441 @ ( par @ SY429 @ SV65 ) ) )
| ~ ! [SY430: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY430 ) )
| ( SY441 @ ( par @ SV28 @ SY430 ) ) )
| ( SY441 @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(665,plain,
! [SV100: pi,SV67: late_residual,SV30: pi] :
( ( ( late_transitions @ SV30 @ SV67 )
= $false )
| ( ( late_transitions @ ( sum @ SV100 @ SV30 ) @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(666,plain,
! [SV127: late_residual,SV101: pi,SV68: name,SV31: name] :
( ( ( ~ ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 ) )
= $true )
| ( ( ~ ! [SY431: pi] :
( ~ ~ ( ( SV68 != SV31 )
| ( SV101 != SY431 ) )
| ~ ( late_transitions @ SY431 @ SV127 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(667,plain,
! [SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ! [SY444: pi] :
( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SY444 ) )
= ( ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SY444 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(668,plain,
! [SV145: pi,SV129: pi,SV103: pi,SV70: name,SV33: name] :
( ( ( input @ SV33 @ SV70 @ SV103 )
!= ( par @ SV129 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(669,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ~ ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
| ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
| ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[631]) ).
thf(670,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= ( ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[631]) ).
thf(671,plain,
! [SV146: pi,SV131: pi,SV105: pi,SV72: name,SV35: name] :
( ( ( match @ SV35 @ SV72 @ SV105 )
!= ( par @ SV131 @ SV146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(672,plain,
! [SV147: pi,SV132: pi,SV106: pi,SV73: name,SV36: name] :
( ( ( output @ SV36 @ SV73 @ SV106 )
!= ( par @ SV132 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(673,plain,
! [SV148: pi,SV133: pi,SV107: name,SV74: late_subject,SV37: pi] :
( ( ~ ( late_transitions @ SV37 @ ( late_BoundR @ SV74 @ SV107 @ SV133 ) )
| ~ ( fresh_name_pi @ SV107 @ SV148 )
| ( late_transitions @ ( par @ SV148 @ SV37 ) @ ( late_BoundR @ SV74 @ SV107 @ ( par @ SV148 @ SV133 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(674,plain,
! [SV108: name,SV75: late_residual,SV38: pi] :
( ( ( late_transitions @ SV38 @ SV75 )
= $false )
| ( ( late_transitions @ ( match @ SV108 @ SV108 @ SV38 ) @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(675,plain,
! [SV134: pi,SV109: pi,SV76: late_freeRes,SV39: pi] :
( ( ( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SV76 @ SV109 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV134 @ SV39 ) @ ( late_FreeR @ SV76 @ ( par @ SV134 @ SV109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(676,plain,
! [SV135: pi,SV110: pi,SV77: pi,SV40: pi] :
( ( ( sum @ SV40 @ SV77 )
= ( par @ SV110 @ SV135 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(677,plain,
! [SV111: pi] :
( ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SV111 ) )
| ~ ( strong2129052853vative @ SV111 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(678,plain,
! [SV149: pi,SV136: name,SV113: late_subject,SV79: pi,SV42: name,SV2: name] :
( ( ~ ( late_transitions @ ( output @ SV2 @ SV42 @ SV79 ) @ ( late_BoundR @ SV113 @ SV136 @ SV149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(679,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( ~ ( ~ SV7
| ~ $true ) )
= $true )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(680,plain,
! [SV7: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV7
| ~ $true ) )
= $true )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(681,plain,
! [SV7: $o] :
( ( ( SV7
| $false )
= $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(682,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(683,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(684,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(685,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(686,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(687,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(688,plain,
! [SV137: pi,SV115: pi,SV82: pi,SV45: name,SV8: name] :
( ( ( mismatch @ SV8 @ SV45 @ SV82 )
= ( par @ SV115 @ SV137 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(689,plain,
! [SV116: late_residual,SV83: pi,SV46: name,SV9: name] :
( ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false )
| ( ( ~ ! [SY419: pi,SY420: name,SY421: name] :
( ~ ~ ( ~ ~ ( ( SV9 != SY420 )
| ( SV46 != SY421 ) )
| ( SV83 != SY419 ) )
| ~ ( late_transitions @ SY419 @ SV116 )
| ( SY420 = SY421 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(690,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( ! [SY445: pi] : ( SV10 @ ( late_BoundR @ ( sK1_SY187 @ SV47 @ SV10 ) @ ( sK2_SY439 @ SV47 @ SV10 ) @ SY445 ) ) )
= $false )
| ( ( ~ ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) )
| ( SV10 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[649]) ).
thf(691,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(692,plain,
! [SV138: name,SV117: pi,SV87: name,SV51: late_subject,SV14: pi] :
( ( ( ~ ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV138 @ SV14 )
| ~ ( ( SV138 != SV87 ) )
| ( fresh_name_pi @ SV138 @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(693,plain,
! [SV118: name,SV88: name,SV52: late_residual,SV15: pi] :
( ( ( late_transitions @ SV15 @ SV52 )
= $false )
| ( ( ~ ( ( SV88 != SV118 ) )
| ( late_transitions @ ( mismatch @ SV88 @ SV118 @ SV15 ) @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(694,plain,
! [SV54: pi,SV90: late_residual,SV17: pi] :
( ( ( ~ ~ ( late_transitions @ SV17 @ SV90 ) )
= $true )
| ( ( late_transitions @ SV54 @ SV90 )
= $true )
| ( ( late_transitions @ ( sum @ SV17 @ SV54 ) @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(695,plain,
! [SV55: pi,SV91: late_residual,SV18: pi] :
( ( ( ~ ~ ( late_transitions @ SV18 @ SV91 ) )
= $true )
| ( ( late_transitions @ SV55 @ SV91 )
= $true )
| ( ( late_transitions @ ( sum @ SV18 @ SV55 ) @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(696,plain,
! [SV139: name > name > $o,SV120: late_residual,SV92: pi,SV56: name,SV19: name] :
( ( ( ~ ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( late_transitions @ SV92 @ SV120 )
| ( SV19 != SV56 )
| ( SV139 @ SV19 @ SV19 ) )
| ( SV139 @ SV19 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(697,plain,
! [SV140: name > name > $o,SV121: late_residual,SV93: pi,SV59: name,SV22: name] :
( ( ( ~ ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 ) )
= $true )
| ( ( ~ ( ~ ( late_transitions @ SV93 @ SV121 )
| ~ ( ( SV22 != SV59 ) )
| ( SV140 @ SV22 @ SV59 ) )
| ( SV140 @ SV22 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(698,plain,
! [SV122: pi,SV94: pi,SV60: late_freeRes,SV23: pi] :
( ( ( late_transitions @ SV23 @ ( late_FreeR @ SV60 @ SV94 ) )
= $false )
| ( ( late_transitions @ ( par @ SV23 @ SV122 ) @ ( late_FreeR @ SV60 @ ( par @ SV94 @ SV122 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(699,plain,
! [SV61: late_residual,SV24: pi] :
( ( ( ( ( bang @ SV24 )
!= ( bang @ ( sK3_SY327 @ SV61 @ SV24 ) ) )
| ~ ( late_transitions @ ( par @ ( sK3_SY327 @ SV61 @ SV24 ) @ ( bang @ ( sK3_SY327 @ SV61 @ SV24 ) ) ) @ SV61 ) )
= $false )
| ( ( late_transitions @ ( bang @ SV24 ) @ SV61 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[660]) ).
thf(700,plain,
! [SV123: late_residual,SV95: pi,SV62: name,SV25: name] :
( ( ( late_transitions @ ( match @ SV25 @ SV62 @ SV95 ) @ SV123 )
= $false )
| ( ( SV25 = SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(701,plain,
! [SV141: pi,SV124: late_freeRes,SV96: pi,SV63: name,SV26: late_subject] :
( ( ( late_BoundR @ SV26 @ SV63 @ SV96 )
= ( late_FreeR @ SV124 @ SV141 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(702,plain,
! [SV142: pi,SV125: pi,SV97: name,SV64: late_subject,SV27: pi] :
( ( ( ~ ( late_transitions @ SV27 @ ( late_BoundR @ SV64 @ SV97 @ SV125 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV97 @ SV142 )
| ( late_transitions @ ( par @ SV27 @ SV142 ) @ ( late_BoundR @ SV64 @ SV97 @ ( par @ SV125 @ SV142 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(703,plain,
! [SV150: pi > $o,SV143: pi,SV126: name,SV98: late_subject,SV65: pi,SV28: pi] :
( ( ~ ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
| ~ ( fresh_name_pi @ SV126 @ SV28 )
| ~ ( fresh_name_pi @ SV126 @ SV65 )
| ~ ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) )
| ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(704,plain,
! [SV127: late_residual,SV101: pi,SV68: name,SV31: name] :
( ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false )
| ( ( ~ ! [SY431: pi] :
( ~ ~ ( ( SV68 != SV31 )
| ( SV101 != SY431 ) )
| ~ ( late_transitions @ SY431 @ SV127 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(705,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= ( ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(706,plain,
! [SV145: pi,SV129: pi,SV103: pi,SV70: name,SV33: name] :
( ( ( input @ SV33 @ SV70 @ SV103 )
= ( par @ SV129 @ SV145 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(707,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ~ ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
| ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true )
| ( ( ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(708,plain,
! [SV146: pi,SV131: pi,SV105: pi,SV72: name,SV35: name] :
( ( ( match @ SV35 @ SV72 @ SV105 )
= ( par @ SV131 @ SV146 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(709,plain,
! [SV147: pi,SV132: pi,SV106: pi,SV73: name,SV36: name] :
( ( ( output @ SV36 @ SV73 @ SV106 )
= ( par @ SV132 @ SV147 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(710,plain,
! [SV148: pi,SV133: pi,SV107: name,SV74: late_subject,SV37: pi] :
( ( ( ~ ( late_transitions @ SV37 @ ( late_BoundR @ SV74 @ SV107 @ SV133 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV107 @ SV148 )
| ( late_transitions @ ( par @ SV148 @ SV37 ) @ ( late_BoundR @ SV74 @ SV107 @ ( par @ SV148 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(711,plain,
! [SV134: pi,SV109: pi,SV76: late_freeRes,SV39: pi] :
( ( ( late_transitions @ SV39 @ ( late_FreeR @ SV76 @ SV109 ) )
= $false )
| ( ( late_transitions @ ( par @ SV134 @ SV39 ) @ ( late_FreeR @ SV76 @ ( par @ SV134 @ SV109 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(712,plain,
! [SV111: pi] :
( ( ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SV111 ) ) )
= $true )
| ( ( ~ ( strong2129052853vative @ SV111 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(713,plain,
! [SV149: pi,SV136: name,SV113: late_subject,SV79: pi,SV42: name,SV2: name] :
( ( late_transitions @ ( output @ SV2 @ SV42 @ SV79 ) @ ( late_BoundR @ SV113 @ SV136 @ SV149 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(714,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $true )
= $false )
| ( SV7 = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(715,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(716,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(717,plain,
! [SV7: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(718,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(719,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(720,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(721,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(722,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(723,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(724,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(725,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(726,plain,
! [SV116: late_residual,SV83: pi,SV46: name,SV9: name] :
( ( ( ! [SY419: pi,SY420: name,SY421: name] :
( ~ ~ ( ~ ~ ( ( SV9 != SY420 )
| ( SV46 != SY421 ) )
| ( SV83 != SY419 ) )
| ~ ( late_transitions @ SY419 @ SV116 )
| ( SY420 = SY421 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(727,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( SV10 @ ( late_BoundR @ ( sK1_SY187 @ SV47 @ SV10 ) @ ( sK2_SY439 @ SV47 @ SV10 ) @ ( sK4_SY445 @ SV47 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) )
| ( SV10 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[690]) ).
thf(728,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(729,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(730,plain,
! [SV138: name,SV117: pi,SV87: name,SV51: late_subject,SV14: pi] :
( ( ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV138 @ SV14 )
| ~ ( ( SV138 != SV87 ) )
| ( fresh_name_pi @ SV138 @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(731,plain,
! [SV52: late_residual,SV15: pi,SV118: name,SV88: name] :
( ( ( ~ ( ( SV88 != SV118 ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV88 @ SV118 @ SV15 ) @ SV52 )
= $true )
| ( ( late_transitions @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(732,plain,
! [SV54: pi,SV90: late_residual,SV17: pi] :
( ( ( ~ ( late_transitions @ SV17 @ SV90 ) )
= $false )
| ( ( late_transitions @ SV54 @ SV90 )
= $true )
| ( ( late_transitions @ ( sum @ SV17 @ SV54 ) @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(733,plain,
! [SV55: pi,SV91: late_residual,SV18: pi] :
( ( ( ~ ( late_transitions @ SV18 @ SV91 ) )
= $false )
| ( ( late_transitions @ SV55 @ SV91 )
= $true )
| ( ( late_transitions @ ( sum @ SV18 @ SV55 ) @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(734,plain,
! [SV139: name > name > $o,SV120: late_residual,SV92: pi,SV56: name,SV19: name] :
( ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false )
| ( ( ~ ( ~ ( late_transitions @ SV92 @ SV120 )
| ( SV19 != SV56 )
| ( SV139 @ SV19 @ SV19 ) )
| ( SV139 @ SV19 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(735,plain,
! [SV140: name > name > $o,SV121: late_residual,SV93: pi,SV59: name,SV22: name] :
( ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false )
| ( ( ~ ( ~ ( late_transitions @ SV93 @ SV121 )
| ~ ( ( SV22 != SV59 ) )
| ( SV140 @ SV22 @ SV59 ) )
| ( SV140 @ SV22 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(736,plain,
! [SV61: late_residual,SV24: pi] :
( ( ( ( bang @ SV24 )
!= ( bang @ ( sK3_SY327 @ SV61 @ SV24 ) ) )
= $false )
| ( ( late_transitions @ ( bang @ SV24 ) @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(737,plain,
! [SV24: pi,SV61: late_residual] :
( ( ( ~ ( late_transitions @ ( par @ ( sK3_SY327 @ SV61 @ SV24 ) @ ( bang @ ( sK3_SY327 @ SV61 @ SV24 ) ) ) @ SV61 ) )
= $false )
| ( ( late_transitions @ ( bang @ SV24 ) @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(738,plain,
! [SV142: pi,SV125: pi,SV97: name,SV64: late_subject,SV27: pi] :
( ( ( late_transitions @ SV27 @ ( late_BoundR @ SV64 @ SV97 @ SV125 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV97 @ SV142 )
| ( late_transitions @ ( par @ SV27 @ SV142 ) @ ( late_BoundR @ SV64 @ SV97 @ ( par @ SV125 @ SV142 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(739,plain,
! [SV150: pi > $o,SV143: pi,SV126: name,SV98: late_subject,SV65: pi,SV28: pi] :
( ( ( ~ ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV126 @ SV28 )
| ~ ( fresh_name_pi @ SV126 @ SV65 )
| ~ ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) )
| ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(740,plain,
! [SV127: late_residual,SV101: pi,SV31: name,SV68: name] :
( ( ( ! [SY431: pi] :
( ~ ~ ( ( SV68 != SV31 )
| ( SV101 != SY431 ) )
| ~ ( late_transitions @ SY431 @ SV127 ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(741,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
| ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[705]) ).
thf(742,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= ( ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[705]) ).
thf(743,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
| ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
= $false )
| ( ( ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(744,plain,
! [SV148: pi,SV133: pi,SV107: name,SV74: late_subject,SV37: pi] :
( ( ( late_transitions @ SV37 @ ( late_BoundR @ SV74 @ SV107 @ SV133 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV107 @ SV148 )
| ( late_transitions @ ( par @ SV148 @ SV37 ) @ ( late_BoundR @ SV74 @ SV107 @ ( par @ SV148 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(745,plain,
! [SV111: pi] :
( ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SV111 ) )
= $false )
| ( ( ~ ( strong2129052853vative @ SV111 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(746,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( SV7 = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(747,plain,
! [SV7: $o] :
( ( ( ~ $true ) = $false )
| ( SV7 = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(748,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( $true = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(749,plain,
! [SV7: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(750,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( SV7 = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(751,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(752,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(753,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(754,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(755,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(756,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(757,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(758,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(759,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(760,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(761,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(762,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(763,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(764,plain,
! [SV116: late_residual,SV83: pi,SV46: name,SV9: name] :
( ( ( ! [SY448: name,SY449: name] :
( ~ ~ ( ~ ~ ( ( SV9 != SY448 )
| ( SV46 != SY449 ) )
| ( SV83
!= ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) ) )
| ~ ( late_transitions @ ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) @ SV116 )
| ( SY448 = SY449 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[726]) ).
thf(765,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( ~ ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) ) )
= $true )
| ( ( SV10 @ SV47 )
= $true )
| ( ( SV10 @ ( late_BoundR @ ( sK1_SY187 @ SV47 @ SV10 ) @ ( sK2_SY439 @ SV47 @ SV10 ) @ ( sK4_SY445 @ SV47 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(766,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(767,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(768,plain,
! [SV51: late_subject,SV117: pi,SV87: name,SV14: pi,SV138: name] :
( ( ( ~ ( fresh_name_pi @ SV138 @ SV14 ) )
= $true )
| ( ( ~ ( ( SV138 != SV87 ) )
| ( fresh_name_pi @ SV138 @ SV117 ) )
= $true )
| ( ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(769,plain,
! [SV52: late_residual,SV15: pi,SV118: name,SV88: name] :
( ( ( SV88 != SV118 )
= $false )
| ( ( late_transitions @ ( mismatch @ SV88 @ SV118 @ SV15 ) @ SV52 )
= $true )
| ( ( late_transitions @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(770,plain,
! [SV54: pi,SV90: late_residual,SV17: pi] :
( ( ( late_transitions @ SV17 @ SV90 )
= $true )
| ( ( late_transitions @ SV54 @ SV90 )
= $true )
| ( ( late_transitions @ ( sum @ SV17 @ SV54 ) @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(771,plain,
! [SV55: pi,SV91: late_residual,SV18: pi] :
( ( ( late_transitions @ SV18 @ SV91 )
= $true )
| ( ( late_transitions @ SV55 @ SV91 )
= $true )
| ( ( late_transitions @ ( sum @ SV18 @ SV55 ) @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(772,plain,
! [SV139: name > name > $o,SV56: name,SV19: name,SV120: late_residual,SV92: pi] :
( ( ( ~ ( ~ ( late_transitions @ SV92 @ SV120 )
| ( SV19 != SV56 )
| ( SV139 @ SV19 @ SV19 ) ) )
= $true )
| ( ( SV139 @ SV19 @ SV56 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(773,plain,
! [SV140: name > name > $o,SV59: name,SV22: name,SV121: late_residual,SV93: pi] :
( ( ( ~ ( ~ ( late_transitions @ SV93 @ SV121 )
| ~ ( ( SV22 != SV59 ) )
| ( SV140 @ SV22 @ SV59 ) ) )
= $true )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(774,plain,
! [SV61: late_residual,SV24: pi] :
( ( ( ( bang @ SV24 )
= ( bang @ ( sK3_SY327 @ SV61 @ SV24 ) ) )
= $true )
| ( ( late_transitions @ ( bang @ SV24 ) @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(775,plain,
! [SV24: pi,SV61: late_residual] :
( ( ( late_transitions @ ( par @ ( sK3_SY327 @ SV61 @ SV24 ) @ ( bang @ ( sK3_SY327 @ SV61 @ SV24 ) ) ) @ SV61 )
= $true )
| ( ( late_transitions @ ( bang @ SV24 ) @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(776,plain,
! [SV125: pi,SV64: late_subject,SV27: pi,SV142: pi,SV97: name] :
( ( ( ~ ( fresh_name_pi @ SV97 @ SV142 ) )
= $true )
| ( ( late_transitions @ ( par @ SV27 @ SV142 ) @ ( late_BoundR @ SV64 @ SV97 @ ( par @ SV125 @ SV142 ) ) )
= $true )
| ( ( late_transitions @ SV27 @ ( late_BoundR @ SV64 @ SV97 @ SV125 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(777,plain,
! [SV150: pi > $o,SV143: pi,SV126: name,SV98: late_subject,SV65: pi,SV28: pi] :
( ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV126 @ SV28 )
| ~ ( fresh_name_pi @ SV126 @ SV65 )
| ~ ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) )
| ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(778,plain,
! [SV127: late_residual,SV101: pi,SV31: name,SV68: name] :
( ( ( ~ ~ ( ( SV68 != SV31 )
| ( SV101
!= ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) ) )
| ~ ( late_transitions @ ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) @ SV127 ) )
= $false )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[740]) ).
thf(779,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(780,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false )
| ( ( ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(781,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
= $false )
| ( ( ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(782,plain,
! [SV133: pi,SV74: late_subject,SV37: pi,SV148: pi,SV107: name] :
( ( ( ~ ( fresh_name_pi @ SV107 @ SV148 ) )
= $true )
| ( ( late_transitions @ ( par @ SV148 @ SV37 ) @ ( late_BoundR @ SV74 @ SV107 @ ( par @ SV148 @ SV133 ) ) )
= $true )
| ( ( late_transitions @ SV37 @ ( late_BoundR @ SV74 @ SV107 @ SV133 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(783,plain,
! [SV111: pi] :
( ( ( strong2129052853vative @ SV111 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
= $false )
| ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ SV111 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(784,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( SV7 = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(785,plain,
! [SV7: $o] :
( ( $true = $true )
| ( SV7 = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(786,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( $true = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(787,plain,
! [SV7: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV7 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(788,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( SV7 = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(789,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( SV7 = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(790,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( $false = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(791,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(792,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(793,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(794,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(795,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(796,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(797,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(798,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(799,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(800,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(801,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(802,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(803,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(804,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(805,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(806,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(807,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(808,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( ! [SY450: name] :
( ~ ~ ( ~ ~ ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
| ( SV46 != SY450 ) )
| ( SV83
!= ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) ) )
| ~ ( late_transitions @ ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) @ SV116 )
| ( ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 )
= SY450 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[764]) ).
thf(809,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( ! [SY190: late_freeRes,SY191: pi] : ( SV10 @ ( late_FreeR @ SY190 @ SY191 ) ) )
= $false )
| ( ( SV10 @ SV47 )
= $true )
| ( ( SV10 @ ( late_BoundR @ ( sK1_SY187 @ SV47 @ SV10 ) @ ( sK2_SY439 @ SV47 @ SV10 ) @ ( sK4_SY445 @ SV47 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(810,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(811,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(812,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ SV48 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV11 @ SV84 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(813,plain,
! [SV51: late_subject,SV117: pi,SV87: name,SV14: pi,SV138: name] :
( ( ( fresh_name_pi @ SV138 @ SV14 )
= $false )
| ( ( ~ ( ( SV138 != SV87 ) )
| ( fresh_name_pi @ SV138 @ SV117 ) )
= $true )
| ( ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(814,plain,
! [SV52: late_residual,SV15: pi,SV118: name,SV88: name] :
( ( ( SV88 = SV118 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV88 @ SV118 @ SV15 ) @ SV52 )
= $true )
| ( ( late_transitions @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(815,plain,
! [SV139: name > name > $o,SV56: name,SV19: name,SV120: late_residual,SV92: pi] :
( ( ( ~ ( late_transitions @ SV92 @ SV120 )
| ( SV19 != SV56 )
| ( SV139 @ SV19 @ SV19 ) )
= $false )
| ( ( SV139 @ SV19 @ SV56 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(816,plain,
! [SV140: name > name > $o,SV59: name,SV22: name,SV121: late_residual,SV93: pi] :
( ( ( ~ ( late_transitions @ SV93 @ SV121 )
| ~ ( ( SV22 != SV59 ) )
| ( SV140 @ SV22 @ SV59 ) )
= $false )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(817,plain,
! [SV125: pi,SV64: late_subject,SV27: pi,SV142: pi,SV97: name] :
( ( ( fresh_name_pi @ SV97 @ SV142 )
= $false )
| ( ( late_transitions @ ( par @ SV27 @ SV142 ) @ ( late_BoundR @ SV64 @ SV97 @ ( par @ SV125 @ SV142 ) ) )
= $true )
| ( ( late_transitions @ SV27 @ ( late_BoundR @ SV64 @ SV97 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(818,plain,
! [SV143: pi,SV150: pi > $o,SV98: late_subject,SV65: pi,SV28: pi,SV126: name] :
( ( ( ~ ( fresh_name_pi @ SV126 @ SV28 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV126 @ SV65 )
| ~ ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) )
| ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(819,plain,
! [SV127: late_residual,SV101: pi,SV31: name,SV68: name] :
( ( ( ~ ~ ( ( SV68 != SV31 )
| ( SV101
!= ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(820,plain,
! [SV68: name,SV31: name,SV101: pi,SV127: late_residual] :
( ( ( ~ ( late_transitions @ ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) @ SV127 ) )
= $false )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(821,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $false )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(822,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
= $false )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(823,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( ( SV34 != SV104 )
| ( SV71 != SV130 ) )
= $true )
| ( ( ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(824,plain,
! [SV133: pi,SV74: late_subject,SV37: pi,SV148: pi,SV107: name] :
( ( ( fresh_name_pi @ SV107 @ SV148 )
= $false )
| ( ( late_transitions @ ( par @ SV148 @ SV37 ) @ ( late_BoundR @ SV74 @ SV107 @ ( par @ SV148 @ SV133 ) ) )
= $true )
| ( ( late_transitions @ SV37 @ ( late_BoundR @ SV74 @ SV107 @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(825,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false )
| ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[784]) ).
thf(826,plain,
! [SV7: $o] :
( ( ( SV7 = $false )
= $true )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[784]) ).
thf(827,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false )
| ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[785]) ).
thf(828,plain,
! [SV7: $o] :
( ( ( SV7 = $false )
= $true )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[785]) ).
thf(829,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false )
| ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[786]) ).
thf(830,plain,
! [SV7: $o] :
( ( ( SV7 = $false )
= $true )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[786]) ).
thf(831,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false )
| ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[787]) ).
thf(832,plain,
! [SV7: $o] :
( ( ( SV7 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[787]) ).
thf(833,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( SV7 = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(834,plain,
! [SV7: $o] :
( ( $false = $true )
| ( SV7 = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(835,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( $false = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(836,plain,
! [SV7: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV7 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(837,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[792]) ).
thf(838,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[792]) ).
thf(839,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[793]) ).
thf(840,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[793]) ).
thf(841,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[794]) ).
thf(842,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[794]) ).
thf(843,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[795]) ).
thf(844,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[795]) ).
thf(845,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(846,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(847,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(848,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(849,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[800]) ).
thf(850,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[800]) ).
thf(851,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(852,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(853,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[802]) ).
thf(854,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[802]) ).
thf(855,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(856,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(857,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(858,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(859,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(860,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(861,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( ~ ~ ( ~ ~ ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
| ( SV46
!= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) )
| ( SV83
!= ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) ) )
| ~ ( late_transitions @ ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) @ SV116 )
| ( ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 )
= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[808]) ).
thf(862,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( ! [SY451: pi] : ( SV10 @ ( late_FreeR @ ( sK9_SY190 @ SV47 @ SV10 ) @ SY451 ) ) )
= $false )
| ( ( SV10 @ SV47 )
= $true )
| ( ( SV10 @ ( late_BoundR @ ( sK1_SY187 @ SV47 @ SV10 ) @ ( sK2_SY439 @ SV47 @ SV10 ) @ ( sK4_SY445 @ SV47 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[809]) ).
thf(863,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $true )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(864,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
= $true )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(865,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV11 @ SV84 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(866,plain,
! [SV51: late_subject,SV14: pi,SV117: pi,SV87: name,SV138: name] :
( ( ( ~ ( ( SV138 != SV87 ) ) )
= $true )
| ( ( fresh_name_pi @ SV138 @ SV117 )
= $true )
| ( ( fresh_name_pi @ SV138 @ SV14 )
= $false )
| ( ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(867,plain,
! [SV56: name,SV19: name,SV139: name > name > $o,SV120: late_residual,SV92: pi] :
( ( ( ~ ( late_transitions @ SV92 @ SV120 ) )
= $false )
| ( ( SV139 @ SV19 @ SV56 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(868,plain,
! [SV120: late_residual,SV92: pi,SV139: name > name > $o,SV56: name,SV19: name] :
( ( ( ( SV19 != SV56 )
| ( SV139 @ SV19 @ SV19 ) )
= $false )
| ( ( SV139 @ SV19 @ SV56 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(869,plain,
! [SV59: name,SV22: name,SV140: name > name > $o,SV121: late_residual,SV93: pi] :
( ( ( ~ ( late_transitions @ SV93 @ SV121 ) )
= $false )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(870,plain,
! [SV121: late_residual,SV93: pi,SV140: name > name > $o,SV59: name,SV22: name] :
( ( ( ~ ( ( SV22 != SV59 ) )
| ( SV140 @ SV22 @ SV59 ) )
= $false )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(871,plain,
! [SV143: pi,SV150: pi > $o,SV98: late_subject,SV65: pi,SV28: pi,SV126: name] :
( ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV126 @ SV65 )
| ~ ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) )
| ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(872,plain,
! [SV127: late_residual,SV101: pi,SV31: name,SV68: name] :
( ( ( ~ ( ( SV68 != SV31 )
| ( SV101
!= ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) ) ) )
= $true )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(873,plain,
! [SV68: name,SV31: name,SV101: pi,SV127: late_residual] :
( ( ( late_transitions @ ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) @ SV127 )
= $true )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(874,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(875,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $false )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(876,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
= $false )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(877,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
= $false )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(878,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( SV34 != SV104 )
= $true )
| ( ( SV71 != SV130 )
= $true )
| ( ( ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(879,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false ) )
= $true )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(880,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false ) )
= $true )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(881,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false ) )
= $true )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(882,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| $false ) )
= $true )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(883,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(884,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(885,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(886,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(887,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(888,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(889,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(890,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(891,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( ~ ~ ( ~ ~ ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
| ( SV46
!= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) )
| ( SV83
!= ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(892,plain,
! [SV9: name,SV46: name,SV83: pi,SV116: late_residual] :
( ( ( ~ ( late_transitions @ ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) @ SV116 )
| ( ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 )
= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(893,plain,
! [SV47: late_residual,SV10: late_residual > $o] :
( ( ( SV10 @ ( late_FreeR @ ( sK9_SY190 @ SV47 @ SV10 ) @ ( sK10_SY451 @ SV47 @ SV10 ) ) )
= $false )
| ( ( SV10 @ SV47 )
= $true )
| ( ( SV10 @ ( late_BoundR @ ( sK1_SY187 @ SV47 @ SV10 ) @ ( sK2_SY439 @ SV47 @ SV10 ) @ ( sK4_SY445 @ SV47 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[862]) ).
thf(894,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(895,plain,
! [SV48: pi,SV84: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ SV84 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(896,plain,
! [SV51: late_subject,SV14: pi,SV117: pi,SV87: name,SV138: name] :
( ( ( SV138 != SV87 )
= $false )
| ( ( fresh_name_pi @ SV138 @ SV117 )
= $true )
| ( ( fresh_name_pi @ SV138 @ SV14 )
= $false )
| ( ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(897,plain,
! [SV56: name,SV19: name,SV139: name > name > $o,SV120: late_residual,SV92: pi] :
( ( ( late_transitions @ SV92 @ SV120 )
= $true )
| ( ( SV139 @ SV19 @ SV56 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(898,plain,
! [SV120: late_residual,SV92: pi,SV139: name > name > $o,SV56: name,SV19: name] :
( ( ( SV19 != SV56 )
= $false )
| ( ( SV139 @ SV19 @ SV56 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(899,plain,
! [SV120: late_residual,SV92: pi,SV56: name,SV19: name,SV139: name > name > $o] :
( ( ( SV139 @ SV19 @ SV19 )
= $false )
| ( ( SV139 @ SV19 @ SV56 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(900,plain,
! [SV59: name,SV22: name,SV140: name > name > $o,SV121: late_residual,SV93: pi] :
( ( ( late_transitions @ SV93 @ SV121 )
= $true )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(901,plain,
! [SV121: late_residual,SV93: pi,SV140: name > name > $o,SV59: name,SV22: name] :
( ( ( ~ ( ( SV22 != SV59 ) ) )
= $false )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(902,plain,
! [SV121: late_residual,SV93: pi,SV59: name,SV22: name,SV140: name > name > $o] :
( ( ( SV140 @ SV22 @ SV59 )
= $false )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(903,plain,
! [SV143: pi,SV150: pi > $o,SV98: late_subject,SV28: pi,SV65: pi,SV126: name] :
( ( ( ~ ( fresh_name_pi @ SV126 @ SV65 ) )
= $true )
| ( ( ~ ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) )
| ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(904,plain,
! [SV127: late_residual,SV101: pi,SV31: name,SV68: name] :
( ( ( ( SV68 != SV31 )
| ( SV101
!= ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(905,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $false )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(906,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) )
= $true )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(907,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $true )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(908,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
= $true )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(909,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( SV34 = SV104 )
= $false )
| ( ( SV71 != SV130 )
= $true )
| ( ( ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(910,plain,
! [SV7: $o] :
( ( ( SV7
| $false )
= $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(911,plain,
! [SV7: $o] :
( ( ( SV7
| $false )
= $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(912,plain,
! [SV7: $o] :
( ( ( SV7
| $false )
= $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(913,plain,
! [SV7: $o] :
( ( ( SV7
| $false )
= $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(914,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(915,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(916,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(917,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(918,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(919,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(920,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(921,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(922,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( ~ ( ~ ~ ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
| ( SV46
!= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) )
| ( SV83
!= ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[891]) ).
thf(923,plain,
! [SV9: name,SV46: name,SV83: pi,SV116: late_residual] :
( ( ( ~ ( late_transitions @ ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) @ SV116 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(924,plain,
! [SV9: name,SV46: name,SV83: pi,SV116: late_residual] :
( ( ( ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 )
= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(925,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ SV48 ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(926,plain,
! [SV48: pi,SV84: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ SV84 ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(927,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(928,plain,
! [SV51: late_subject,SV14: pi,SV117: pi,SV87: name,SV138: name] :
( ( ( SV138 = SV87 )
= $true )
| ( ( fresh_name_pi @ SV138 @ SV117 )
= $true )
| ( ( fresh_name_pi @ SV138 @ SV14 )
= $false )
| ( ( late_transitions @ SV14 @ ( late_BoundR @ SV51 @ SV87 @ SV117 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(929,plain,
! [SV120: late_residual,SV92: pi,SV139: name > name > $o,SV56: name,SV19: name] :
( ( ( SV19 = SV56 )
= $true )
| ( ( SV139 @ SV19 @ SV56 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV56 @ SV92 ) @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(930,plain,
! [SV121: late_residual,SV93: pi,SV140: name > name > $o,SV59: name,SV22: name] :
( ( ( SV22 != SV59 )
= $true )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[901]) ).
thf(931,plain,
! [SV143: pi,SV150: pi > $o,SV98: late_subject,SV28: pi,SV65: pi,SV126: name] :
( ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( ~ ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) )
| ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(932,plain,
! [SV127: late_residual,SV101: pi,SV31: name,SV68: name] :
( ( ( SV68 != SV31 )
= $false )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(933,plain,
! [SV68: name,SV31: name,SV127: late_residual,SV101: pi] :
( ( ( SV101
!= ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) )
= $false )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(934,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(935,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $false )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(936,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( SV32 != SV128 )
= $true )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $true )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(937,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( ( SV34 != SV104 )
| ( SV71 != SV130 ) )
= $false )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(938,plain,
! [SV104: pi,SV34: pi,SV130: pi,SV71: pi] :
( ( ( SV71 = SV130 )
= $false )
| ( ( SV34 = SV104 )
= $false )
| ( ( ~ ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(939,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(940,plain,
! [SV7: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(941,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(942,plain,
! [SV7: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(943,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(944,plain,
! [SV7: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(945,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(946,plain,
! [SV7: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV7
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(947,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(948,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(949,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[915]) ).
thf(950,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[915]) ).
thf(951,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(952,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(953,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(954,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(955,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(956,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(957,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(958,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(959,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[920]) ).
thf(960,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[920]) ).
thf(961,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(962,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(963,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( ~ ~ ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
| ( SV46
!= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) )
| ( SV83
!= ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(964,plain,
! [SV9: name,SV46: name,SV83: pi,SV116: late_residual] :
( ( ( late_transitions @ ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) @ SV116 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(965,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ SV48 )
= $true )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(966,plain,
! [SV48: pi,SV84: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ SV84 )
= $true )
| ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[926]) ).
thf(967,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(968,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(969,plain,
! [SV121: late_residual,SV93: pi,SV140: name > name > $o,SV59: name,SV22: name] :
( ( ( SV22 = SV59 )
= $false )
| ( ( SV140 @ SV22 @ SV59 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV22 @ SV59 @ SV93 ) @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(970,plain,
! [SV143: pi,SV65: pi,SV150: pi > $o,SV126: name,SV98: late_subject,SV28: pi] :
( ( ( ~ ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) ) )
= $true )
| ( ( ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(971,plain,
! [SV127: late_residual,SV101: pi,SV31: name,SV68: name] :
( ( ( SV68 = SV31 )
= $true )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(972,plain,
! [SV68: name,SV31: name,SV127: late_residual,SV101: pi] :
( ( ( SV101
= ( sK6_SY431 @ SV127 @ SV101 @ SV31 @ SV68 ) )
= $true )
| ( ( late_transitions @ ( match @ SV31 @ SV68 @ SV101 ) @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(973,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $true )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(974,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $true )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(975,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $true )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(976,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( SV34 != SV104 )
= $false )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(977,plain,
! [SV104: pi,SV34: pi,SV130: pi,SV71: pi] :
( ( ( SV71 != SV130 )
= $false )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(978,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
| ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
= $false )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(979,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( SV7 = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(980,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( $false = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(981,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( SV7 = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(982,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( $false = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(983,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( SV7 = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(984,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(985,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( SV7 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(986,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(987,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(988,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(989,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(990,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(991,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(992,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(993,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(994,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(995,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(996,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(997,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(998,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(999,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1000,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1001,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1002,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1003,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( ~ ~ ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
| ( SV46
!= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1004,plain,
! [SV9: name,SV46: name,SV116: late_residual,SV83: pi] :
( ( ( SV83
!= ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1005,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ ( par @ SV48 @ SV84 ) )
= $true )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1006,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) ) )
= $true )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1007,plain,
! [SV143: pi,SV65: pi,SV150: pi > $o,SV126: name,SV98: late_subject,SV28: pi] :
( ( ( ! [SY446: pi] :
( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ SY446 ) )
| ( SV150 @ ( par @ SY446 @ SV65 ) ) ) )
= $false )
| ( ( ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1008,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) )
= $false )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1009,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1010,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( SV34 = SV104 )
= $true )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1011,plain,
! [SV104: pi,SV34: pi,SV130: pi,SV71: pi] :
( ( ( SV71 = SV130 )
= $true )
| ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1012,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( par @ SV34 @ SV71 )
!= ( par @ SV104 @ SV130 ) )
= $false )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1013,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( ~ ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
= $false )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1014,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( SV7 = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1015,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( SV7 = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1016,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( $false = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1017,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1018,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( SV7 = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1019,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( SV7 = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1020,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( $false = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1021,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1022,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( SV7 = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1023,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( SV7 = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1024,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1025,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1026,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( SV7 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1027,plain,
! [SV7: $o] :
( ( ( ~ $false ) = $false )
| ( SV7 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1028,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1029,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1030,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[987]) ).
thf(1031,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[987]) ).
thf(1032,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[988]) ).
thf(1033,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[988]) ).
thf(1034,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[989]) ).
thf(1035,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[989]) ).
thf(1036,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1037,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1038,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1039,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1040,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1041,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1042,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1043,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1044,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1045,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1046,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1047,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1048,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1049,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1050,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1051,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1052,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1053,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1054,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1055,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1056,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1057,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1058,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1059,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1060,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1061,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1062,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( ~ ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
| ( SV46
!= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1063,plain,
! [SV9: name,SV46: name,SV116: late_residual,SV83: pi] :
( ( ( SV83
= ( sK5_SY419 @ SV116 @ SV83 @ SV46 @ SV9 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1064,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ SV48 )
| ~ ( fresh_name_pi @ SV11 @ SV84 ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1065,plain,
! [SV150: pi > $o,SV65: pi,SV143: pi,SV126: name,SV98: late_subject,SV28: pi] :
( ( ( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) )
| ( SV150 @ ( par @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) @ SV65 ) ) )
= $false )
| ( ( ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1007]) ).
thf(1066,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( SV32 != SV128 )
= $false )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1067,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1068,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ! [SV152: name] :
( ( abs_fun_name_pi @ SV69 @ SV102 @ SV152 )
= ( abs_fun_name_pi @ SV144 @ SV151 @ SV152 ) ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1009]) ).
thf(1069,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1009]) ).
thf(1070,plain,
! [SV130: pi,SV104: pi,SV71: pi,SV34: pi] :
( ( ( ( par @ SV34 @ SV71 )
= ( par @ SV104 @ SV130 ) )
= $true )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1071,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( ~ ( ( SV34 != SV104 )
| ( SV71 != SV130 ) ) )
= $true )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1072,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( SV7 = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1073,plain,
! [SV7: $o] :
( ( $false = $true )
| ( SV7 = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1074,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( $false = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1016]) ).
thf(1075,plain,
! [SV7: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV7 = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1076,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( SV7 = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1077,plain,
! [SV7: $o] :
( ( $false = $true )
| ( SV7 = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1078,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( $false = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1079,plain,
! [SV7: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV7 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1080,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( SV7 = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1081,plain,
! [SV7: $o] :
( ( $false = $true )
| ( SV7 = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1023]) ).
thf(1082,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1083,plain,
! [SV7: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV7 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1084,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( SV7 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1085,plain,
! [SV7: $o] :
( ( $false = $true )
| ( SV7 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1086,plain,
! [SV7: $o] :
( ( SV7 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1087,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1088,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1089,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1090,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1032]) ).
thf(1091,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1092,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1093,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1094,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1095,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1096,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1097,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1098,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1099,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1100,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1042]) ).
thf(1101,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1043]) ).
thf(1102,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1044]) ).
thf(1103,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1104,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1105,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1106,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1107,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1108,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1109,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1110,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1111,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1112,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1113,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1114,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1115,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1116,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1117,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1118,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1119,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1120,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
| ( SV46
!= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1121,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ SV48 ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1122,plain,
! [SV48: pi,SV84: pi,SV11: name] :
( ( ( ~ ( fresh_name_pi @ SV11 @ SV84 ) )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1123,plain,
! [SV150: pi > $o,SV65: pi,SV143: pi,SV126: name,SV98: late_subject,SV28: pi] :
( ( ( ~ ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) ) )
= $false )
| ( ( ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1124,plain,
! [SV28: pi,SV98: late_subject,SV126: name,SV65: pi,SV143: pi,SV150: pi > $o] :
( ( ( SV150 @ ( par @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) @ SV65 ) )
= $false )
| ( ( ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1125,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( SV32 = SV128 )
= $true )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1126,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $true )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1127,plain,
! [SV144: name,SV151: pi,SV32: late_subject,SV128: late_subject,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ~ ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1068]) ).
thf(1128,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1129,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( ( SV34 != SV104 )
| ( SV71 != SV130 ) )
= $false )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1130,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( SV9
!= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1131,plain,
! [SV9: name,SV116: late_residual,SV83: pi,SV46: name] :
( ( ( SV46
!= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1132,plain,
! [SV84: pi,SV48: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ SV48 )
= $true )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1133,plain,
! [SV48: pi,SV84: pi,SV11: name] :
( ( ( fresh_name_pi @ SV11 @ SV84 )
= $true )
| ( ( fresh_name_pi @ SV11 @ SV48 )
= $false )
| ( ( fresh_name_pi @ SV11 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1134,plain,
! [SV150: pi > $o,SV65: pi,SV143: pi,SV126: name,SV98: late_subject,SV28: pi] :
( ( ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) )
= $true )
| ( ( ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) )
| ( SV150 @ SV143 ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1135,plain,
! [SV143: pi,SV28: pi,SV150: pi > $o,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) ) )
= $true )
| ( ( SV150 @ SV143 )
= $true )
| ( ( SV150 @ ( par @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) @ SV65 ) )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1136,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ! [SV153: name] :
( ( abs_fun_name_pi @ SV69 @ SV102 @ SV153 )
= ( abs_fun_name_pi @ SV144 @ SV151 @ SV153 ) ) )
= $true )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1126]) ).
thf(1137,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $true )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1126]) ).
thf(1138,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
| ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1139,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1140,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1141,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( SV34 != SV104 )
= $false )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1142,plain,
! [SV104: pi,SV34: pi,SV130: pi,SV71: pi] :
( ( ( SV71 != SV130 )
= $false )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1143,plain,
! [SV46: name,SV83: pi,SV116: late_residual,SV9: name] :
( ( ( SV9
= ( sK7_SY448 @ SV116 @ SV83 @ SV46 @ SV9 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1130]) ).
thf(1144,plain,
! [SV9: name,SV116: late_residual,SV83: pi,SV46: name] :
( ( ( SV46
= ( sK8_SY450 @ SV46 @ SV83 @ SV116 @ SV9 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV9 @ SV46 @ SV83 ) @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1131]) ).
thf(1145,plain,
! [SV143: pi,SV28: pi,SV150: pi > $o,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( ~ ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) ) )
= $true )
| ( ( SV150 @ SV143 )
= $true )
| ( ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1146,plain,
! [SV143: pi,SV28: pi,SV150: pi > $o,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) ) )
= $false )
| ( ( SV150 @ SV143 )
= $true )
| ( ( SV150 @ ( par @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) @ SV65 ) )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1147,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV154: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ SV154 )
= ( abs_fun_name_pi @ SV144 @ SV151 @ SV154 ) )
= $true )
| ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1148,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
!= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1149,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ~ ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1150,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1151,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1140]) ).
thf(1152,plain,
! [SV130: pi,SV71: pi,SV104: pi,SV34: pi] :
( ( ( SV34 = SV104 )
= $true )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1153,plain,
! [SV104: pi,SV34: pi,SV130: pi,SV71: pi] :
( ( ( SV71 = SV130 )
= $true )
| ( ( SV34 = SV104 )
= $false )
| ( ( SV71 = SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1154,plain,
! [SV143: pi,SV28: pi,SV150: pi > $o,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( ! [SY447: pi] :
( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ SY447 ) )
| ( SV150 @ ( par @ SV28 @ SY447 ) ) ) )
= $false )
| ( ( SV150 @ SV143 )
= $true )
| ( ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1155,plain,
! [SV150: pi > $o,SV28: pi,SV143: pi,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ ( sK13_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) )
| ( SV150 @ ( par @ SV28 @ ( sK13_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) ) )
= $false )
| ( ( SV150 @ SV143 )
= $true )
| ( ( SV150 @ ( par @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) @ SV65 ) )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1146]) ).
thf(1156,plain,
! [SV151: pi,SV144: name,SV128: late_subject,SV102: pi,SV69: name,SV32: late_subject] :
( ( ( ( late_BoundR @ SV32 @ SV69 @ SV102 )
= ( late_BoundR @ SV128 @ SV144 @ SV151 ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1157,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ~ ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1158,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1159,plain,
! [SV150: pi > $o,SV28: pi,SV143: pi,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ ( sK14_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) )
| ( SV150 @ ( par @ SV28 @ ( sK14_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) ) )
= $false )
| ( ( SV150 @ SV143 )
= $true )
| ( ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1154]) ).
thf(1160,plain,
! [SV150: pi > $o,SV28: pi,SV143: pi,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ ( sK13_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) ) )
= $false )
| ( ( SV150 @ SV143 )
= $true )
| ( ( SV150 @ ( par @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) @ SV65 ) )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1161,plain,
! [SV65: pi,SV98: late_subject,SV126: name,SV143: pi,SV28: pi,SV150: pi > $o] :
( ( ( SV150 @ ( par @ SV28 @ ( sK13_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) )
= $false )
| ( ( SV150 @ SV143 )
= $true )
| ( ( SV150 @ ( par @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) @ SV65 ) )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1162,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( ( SV32 != SV128 )
| ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1163,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( SV32 != SV128 )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1158]) ).
thf(1164,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1158]) ).
thf(1165,plain,
! [SV150: pi > $o,SV28: pi,SV143: pi,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( ~ ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ ( sK14_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) ) )
= $false )
| ( ( SV150 @ SV143 )
= $true )
| ( ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1166,plain,
! [SV65: pi,SV98: late_subject,SV126: name,SV143: pi,SV28: pi,SV150: pi > $o] :
( ( ( SV150 @ ( par @ SV28 @ ( sK14_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) )
= $false )
| ( ( SV150 @ SV143 )
= $true )
| ( ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1167,plain,
! [SV150: pi > $o,SV28: pi,SV143: pi,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ ( sK13_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) )
= $true )
| ( ( SV150 @ SV143 )
= $true )
| ( ( SV150 @ ( par @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) @ SV65 ) )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1168,plain,
! [SV144: name,SV151: pi,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( SV32 != SV128 )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1169,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
!= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1170,plain,
! [SV151: pi,SV144: name,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( SV32 = SV128 )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1171,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1172,plain,
! [SV150: pi > $o,SV28: pi,SV143: pi,SV126: name,SV98: late_subject,SV65: pi] :
( ( ( late_transitions @ SV65 @ ( late_BoundR @ SV98 @ SV126 @ ( sK14_SY447 @ SV143 @ SV28 @ SV150 @ SV126 @ SV98 @ SV65 ) ) )
= $true )
| ( ( SV150 @ SV143 )
= $true )
| ( ( late_transitions @ SV28 @ ( late_BoundR @ SV98 @ SV126 @ ( sK11_SY446 @ SV143 @ SV65 @ SV150 @ SV126 @ SV98 @ SV28 ) ) )
= $true )
| ( ( fresh_name_pi @ SV126 @ SV65 )
= $false )
| ( ( fresh_name_pi @ SV126 @ SV28 )
= $false )
| ( ( late_transitions @ ( par @ SV28 @ SV65 ) @ ( late_BoundR @ SV98 @ SV126 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1173,plain,
! [SV144: name,SV151: pi,SV102: pi,SV69: name,SV128: late_subject,SV32: late_subject] :
( ( ( SV32 = SV128 )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1174,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1175,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ! [SV155: name] :
( ( abs_fun_name_pi @ SV69 @ SV102 @ SV155 )
= ( abs_fun_name_pi @ SV144 @ SV151 @ SV155 ) ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1171]) ).
thf(1176,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1171]) ).
thf(1177,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ! [SV156: name] :
( ( abs_fun_name_pi @ SV69 @ SV102 @ SV156 )
= ( abs_fun_name_pi @ SV144 @ SV151 @ SV156 ) ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1174]) ).
thf(1178,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1174]) ).
thf(1179,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV157: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ SV157 )
= ( abs_fun_name_pi @ SV144 @ SV151 @ SV157 ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 )
= ( abs_fun_name_pi @ SV144 @ SV151 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1180,plain,
! [SV128: late_subject,SV32: late_subject,SV151: pi,SV144: name,SV158: name,SV102: pi,SV69: name] :
( ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ SV158 )
= ( abs_fun_name_pi @ SV144 @ SV151 @ SV158 ) )
= $true )
| ( ( SV32 = SV128 )
= $false )
| ( ( ( abs_fun_name_pi @ SV69 @ SV102 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) )
= ( abs_fun_name_pi @ SV144 @ SV151 @ ( sK12_SV152 @ SV128 @ SV32 @ SV151 @ SV144 @ SV102 @ SV69 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1181,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[376,1180,1179,1178,1176,1173,1172,1170,1167,1166,1161,1156,1153,1152,1150,1147,1144,1143,1137,1133,1132,1125,1119,1118,1117,1116,1115,1114,1113,1112,1111,1110,1109,1108,1107,1106,1105,1104,1103,1102,1101,1100,1099,1098,1097,1096,1095,1094,1093,1092,1091,1090,1089,1088,1087,1086,1085,1084,1083,1082,1081,1080,1079,1078,1077,1076,1075,1074,1073,1072,1070,1063,1011,1010,1005,973,972,971,969,966,965,964,929,928,924,907,902,900,899,897,893,873,863,860,859,858,857,856,854,852,850,848,847,846,845,844,842,840,838,836,835,834,833,832,830,828,826,824,817,814,783,775,774,771,770,742,713,711,709,708,706,701,700,698,688,676,674,670,665,654,651,639,626,618,610,609,604,601,598,595,594,571,509,508,386,385,384,383,382,381,380,379,378,377]) ).
thf(1182,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP184^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n001.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Oct 6 11:25:39 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.68/1.38 ...
% 6.68/1.38
% 6.68/1.38 No.of.Axioms: 51
% 6.68/1.38
% 6.68/1.38 Length.of.Defs: 0
% 6.68/1.38
% 6.68/1.38 Contains.Choice.Funs: false
% 6.68/1.38 ............................
% 6.68/1.38
% 6.68/1.38 ********************************
% 6.68/1.38 * All subproblems solved! *
% 6.68/1.38 ********************************
% 6.68/1.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:51,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1181,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.68/1.38
% 6.68/1.38 %**** Beginning of derivation protocol ****
% 6.68/1.38 % SZS output start CNFRefutation
% See solution above
% 6.68/1.39
% 6.68/1.39 %**** End of derivation protocol ****
% 6.68/1.39 %**** no. of clauses in derivation: 913 ****
% 6.68/1.39 %**** clause counter: 1181 ****
% 6.68/1.39
% 6.68/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:51,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1181,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------