%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP187^1 : 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 : n017.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 10:24:41 AM UTC 2026
% Result : Theorem 11.71s 2.16s
% Output : CNFRefutation 11.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 105
% Syntax : Number of formulae : 1443 ( 701 unt; 0 typ; 0 def)
% Number of atoms : 9056 (4113 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 14289 (2351 ~;2254 |; 32 &;9445 @)
% ( 0 <=>; 207 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 202 ( 202 >; 0 *; 0 +; 0 <<)
% Number of symbols : 119 ( 116 usr; 16 con; 0-5 aty)
% Number of variables : 4346 ( 4 ^;4328 !; 14 ?;4346 :)
% 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: name ).
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_alpha,type,
alpha: late_freeRes ).
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_p2,type,
p2: 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_SY825,type,
sK10_SY825: product_prod_pi_pi > ( product_prod_pi_pi > $o ) > pi ).
thf(tp_sK11_SY402,type,
sK11_SY402: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(tp_sK12_SY745,type,
sK12_SY745: product_prod_pi_pi > pi ).
thf(tp_sK13_SY666,type,
sK13_SY666: late_residual > pi > pi ).
thf(tp_sK14_SY828,type,
sK14_SY828: product_prod_pi_pi > ( product_prod_pi_pi > $o ) > pi ).
thf(tp_sK15_SY829,type,
sK15_SY829: late_freeRes > ( late_freeRes > $o ) > name ).
thf(tp_sK16_SY830,type,
sK16_SY830: late_residual > ( late_residual > $o ) > name ).
thf(tp_sK17_SY832,type,
sK17_SY832: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(tp_sK18_SY833,type,
sK18_SY833: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK19_SY811,type,
sK19_SY811: late_residual > pi > name > name > pi ).
thf(tp_sK1_SY407,type,
sK1_SY407: product_prod_pi_pi > pi ).
thf(tp_sK20_SY814,type,
sK20_SY814: late_residual > pi > name > name > pi ).
thf(tp_sK21_SY818,type,
sK21_SY818: pi > late_freeRes > pi > name > pi ).
thf(tp_sK22_SY834,type,
sK22_SY834: late_residual > pi > name > name > name ).
thf(tp_sK23_SY836,type,
sK23_SY836: late_freeRes > pi > pi > name > late_freeRes ).
thf(tp_sK24_SV293,type,
sK24_SV293: pi > name > pi > name > name ).
thf(tp_sK25_SY826,type,
sK25_SY826: pi > ( pi > $o ) > name > late_freeRes > pi > pi ).
thf(tp_sK26_SY404,type,
sK26_SY404: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(tp_sK27_SY839,type,
sK27_SY839: name > pi > late_residual > name > name ).
thf(tp_sK28_SY840,type,
sK28_SY840: late_freeRes > pi > pi > name > pi ).
thf(tp_sK29_SY547,type,
sK29_SY547: late_residual > ( late_residual > $o ) > late_freeRes ).
thf(tp_sK2_SY456,type,
sK2_SY456: product_prod_pi_pi > pi ).
thf(tp_sK30_SY842,type,
sK30_SY842: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(tp_sK31_SY827,type,
sK31_SY827: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > pi > pi ).
thf(tp_sK32_SY844,type,
sK32_SY844: late_freeRes > pi > pi > name > name ).
thf(tp_sK33_SY845,type,
sK33_SY845: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK34_SY846,type,
sK34_SY846: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(tp_sK3_SY763,type,
sK3_SY763: product_prod_pi_pi > pi ).
thf(tp_sK4_SY458,type,
sK4_SY458: late_freeRes > name ).
thf(tp_sK5_SY372,type,
sK5_SY372: product_prod_pi_pi > ( product_prod_pi_pi > $o ) > pi ).
thf(tp_sK6_SY810,type,
sK6_SY810: late_freeRes > name ).
thf(tp_sK7_SY498,type,
sK7_SY498: product_prod_pi_pi > ( product_prod_pi_pi > $o ) > pi ).
thf(tp_sK8_SY541,type,
sK8_SY541: late_freeRes > ( late_freeRes > $o ) > name ).
thf(tp_sK9_SY544,type,
sK9_SY544: late_residual > ( late_residual > $o ) > late_subject ).
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(tp_y,type,
y: 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(4,axiom,
! [Name2: name,Pi3: pi,Pi: pi] :
( ( res @ Name2 @ Pi3 )
!= ( bang @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_319_pi_Odistinct_I89_J) ).
thf(6,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_317_Sum2) ).
thf(7,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_316_Sum1) ).
thf(8,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_315_sumCases_H) ).
thf(9,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_314_sumCases) ).
thf(14,axiom,
! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309_pi_Odistinct_I81_J) ).
thf(15,axiom,
! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_pi_Odistinct_I79_J) ).
thf(22,axiom,
! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C @ D )
= ( sum @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_simps_I7_J) ).
thf(23,axiom,
! [P: pi,C: name,D: name] :
( ( subs @ ( bang @ P ) @ C @ D )
= ( bang @ ( subs @ P @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_300_simps_I10_J) ).
thf(36,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_287_mismatchCases) ).
thf(37,axiom,
! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_mismatchTrans) ).
thf(38,axiom,
! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A3: name,B3: name] :
( ( ( A = A3 )
& ( B = B3 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A3 = B3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_mismatchCases_H) ).
thf(39,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_284_Mismatch) ).
thf(40,axiom,
! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( mismatch @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_pi_Odistinct_I73_J) ).
thf(41,axiom,
! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( mismatch @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_282_pi_Odistinct_I75_J) ).
thf(52,axiom,
! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_resZeroTrans) ).
thf(59,axiom,
! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_pi_Odistinct_I15_J) ).
thf(60,axiom,
! [Pi12: pi,Pi22: pi] :
( piNil
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_pi_Odistinct_I13_J) ).
thf(61,axiom,
! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( match @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_pi_Odistinct_I67_J) ).
thf(62,axiom,
! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( match @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_pi_Odistinct_I65_J) ).
thf(63,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_zeroTrans) ).
thf(64,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_nilCases_H) ).
thf(65,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_258_Match) ).
thf(66,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_257_matchCases_H) ).
thf(67,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_256_matchTrans) ).
thf(68,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_255_matchCases) ).
thf(74,axiom,
! [C: name,D: name] :
( ( subs @ piNil @ C @ D )
= piNil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_simps_I1_J) ).
thf(85,axiom,
! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,Alpha: late_freeRes,Q2: pi] :
( ( strong743114133lation @ P @ Rel @ Q )
=> ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ? [P5: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P5 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P5 @ Q2 ) @ Rel ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_simE_I2_J) ).
thf(87,axiom,
! [Rel: set_Pr1834926343_pi_pi,P: pi,Q: pi] :
( ! [R: pi,S2: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ R @ S2 ) @ ( par @ S2 @ R ) ) @ Rel )
=> ( ! [R: pi,S2: pi,X4: name] :
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ R @ S2 ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ R ) @ ( res @ X4 @ S2 ) ) @ Rel ) )
=> ( strong743114133lation @ ( par @ P @ Q ) @ Rel @ ( par @ Q @ P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_parSym) ).
thf(93,axiom,
! [X1: name,X2: pi,Y1: name,Y2: pi] :
( ( ( res @ X1 @ X2 )
= ( res @ Y1 @ Y2 ) )
= ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_pi_Oinject_I8_J) ).
thf(115,axiom,
! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_Tau) ).
thf(116,axiom,
! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( tau @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( tau @ P )
= ( tau @ P4 ) )
=> ( Rs
!= ( late_FreeR @ late_TauR @ P4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_tauCases_H) ).
thf(117,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( ( Alpha = late_TauR )
=> ( ( P = P2 )
=> ( Prop @ late_TauR @ P ) ) )
=> ( Prop @ Alpha @ P2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_tauCases) ).
thf(124,axiom,
! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_resInputFreeTrans) ).
thf(126,axiom,
! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_inputFreeTrans) ).
thf(127,axiom,
! [X: name,Y: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_resTrans_I2_J) ).
thf(130,axiom,
! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_pi_Odistinct_I45_J) ).
thf(131,axiom,
! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_pi_Odistinct_I43_J) ).
thf(132,axiom,
! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( input @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_pi_Odistinct_I57_J) ).
thf(133,axiom,
! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_pi_Odistinct_I55_J) ).
thf(136,axiom,
! [P: pi,C: name,D: name] :
( ( subs @ ( tau @ P ) @ C @ D )
= ( tau @ ( subs @ P @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_simps_I2_J) ).
thf(149,axiom,
! [Name1: name,Name22: name] :
( ( late_OutputR @ Name1 @ Name22 )
!= late_TauR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_Late__Semantics_OfreeRes_Odistinct_I1_J) ).
thf(150,axiom,
! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
( ! [Name12: name,Name23: name] : ( P @ ( late_OutputR @ Name12 @ Name23 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_freeRes_Oinducts) ).
thf(151,axiom,
! [Y: late_freeRes] :
( ! [X112: name,X123: name] :
( Y
!= ( late_OutputR @ X112 @ X123 ) )
=> ( Y = late_TauR ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_freeRes_Oexhaust) ).
thf(152,axiom,
! [X11: name,X122: name] :
( ( late_OutputR @ X11 @ X122 )
!= late_TauR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_Late__Semantics1_OfreeRes_Odistinct_I1_J) ).
thf(164,axiom,
! [A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_outputTauTrans) ).
thf(169,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ Y @ Alpha )
=> ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_ResF) ).
thf(170,axiom,
! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P5: pi,Y3: name] :
( ( ( res @ X @ P )
= ( res @ Y3 @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P2 )
= ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P5 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P5 ) )
=> ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_resCasesF_H) ).
thf(171,axiom,
! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P5: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P5 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P5 ) ) ) )
=> ( F @ XP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_resCasesF) ).
thf(176,axiom,
! [X: name,B: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( output @ X @ B @ P ) ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_resTrans_I1_J) ).
thf(191,axiom,
! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_pi_Odistinct_I31_J) ).
thf(192,axiom,
! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_pi_Odistinct_I29_J) ).
thf(193,axiom,
! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) )
=> ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
=> ( P @ Residual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_residual_Oinducts) ).
thf(194,axiom,
! [Subject: late_subject,Name2: name,Pi3: pi,FreeRes: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject @ Name2 @ Pi3 )
!= ( late_FreeR @ FreeRes @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_residual_Odistinct_I1_J) ).
thf(205,axiom,
! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_freeRes_Ofresh_I2_J) ).
thf(209,axiom,
! [X: name,A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( output @ A @ B @ P ) ) @ ( late_FreeR @ late_TauR @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_resOutputTauTrans) ).
thf(235,axiom,
! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_pi_Odistinct_I85_J) ).
thf(236,axiom,
! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_residual_Oinject_I2_J) ).
thf(237,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_86_pi_Oinject_I7_J) ).
thf(238,axiom,
! [P3: product_prod_pi_pi] :
? [X4: pi,Y3: pi] :
( P3
= ( product_Pair_pi_pi @ X4 @ Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_surj__pair) ).
thf(244,axiom,
! [P: product_prod_pi_pi > $o,P3: product_prod_pi_pi] :
( ! [A3: pi,B3: pi] : ( P @ ( product_Pair_pi_pi @ A3 @ B3 ) )
=> ( P @ P3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_prod__cases) ).
thf(250,axiom,
! [A: pi,B: pi,A2: pi,B2: pi] :
( ( ( product_Pair_pi_pi @ A @ B )
= ( product_Pair_pi_pi @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_Pair__inject) ).
thf(257,axiom,
! [A4: set_Pr1834926343_pi_pi] :
( ( collec1051790738_pi_pi
@ ^ [X3: product_prod_pi_pi] : ( member558706512_pi_pi @ X3 @ A4 ) )
= A4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_Collect__mem__eq) ).
thf(258,axiom,
! [A: product_prod_pi_pi,P: product_prod_pi_pi > $o] :
( ( member558706512_pi_pi @ A @ ( collec1051790738_pi_pi @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_mem__Collect__eq) ).
thf(259,axiom,
! [Y: product_prod_pi_pi] :
~ ! [A3: pi,B3: pi] :
( Y
!= ( product_Pair_pi_pi @ A3 @ B3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_old_Oprod_Oexhaust) ).
thf(265,axiom,
! [P: product_prod_pi_pi > $o,Prod: product_prod_pi_pi] :
( ! [A3: pi,B3: pi] : ( P @ ( product_Pair_pi_pi @ A3 @ B3 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_old_Oprod_Oinducts) ).
thf(271,axiom,
! [B: name,P: pi,A: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( res @ A @ P )
= ( res @ B @ ( subs @ P @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_substRes2) ).
thf(272,axiom,
! [B: name,P: pi,A: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( res @ A @ P ) @ A @ B )
= ( res @ B @ ( subs @ P @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_substRes3) ).
thf(273,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_freshFreeDerivative_I2_J) ).
thf(274,axiom,
! [A: name,P: pi,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( subs @ P @ A @ B )
= P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_forget) ).
thf(275,axiom,
! [A: name,P: pi,C: name,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( A != C )
=> ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_fresh__fact1) ).
thf(276,axiom,
! [A: name,B: name,P: pi] :
( ( A != B )
=> ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_fresh__fact2) ).
thf(277,axiom,
! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_freshRes) ).
thf(282,axiom,
! [B: name,P: pi,A: name,C: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
= ( subs @ P @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_substTrans) ).
thf(283,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_40_pi_Ofresh_I8_J) ).
thf(285,axiom,
! [A: pi,B: pi,A2: pi,B2: pi] :
( ( ( product_Pair_pi_pi @ A @ B )
= ( product_Pair_pi_pi @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_old_Oprod_Oinject) ).
thf(291,axiom,
! [X1: pi,X2: pi,Y1: pi,Y2: pi] :
( ( ( product_Pair_pi_pi @ X1 @ X2 )
= ( product_Pair_pi_pi @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_prod_Oinject) ).
thf(297,axiom,
fresh_name_pi @ y @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26__092_060open_062y_A_092_060sharp_062_AR_092_060close_062) ).
thf(298,axiom,
fresh_name_pi @ x @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25__092_060open_062x_A_092_060sharp_062_AR_092_060close_062) ).
thf(299,axiom,
! [P: pi,A: name] :
( ( subs @ P @ A @ A )
= P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_subst__identity) ).
thf(300,axiom,
! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_Par2F) ).
thf(301,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_Par1F) ).
thf(302,axiom,
! [X: name,U: pi,S: pi,T: pi] :
( ( fresh_name_pi @ X @ U )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ X @ ( par @ S @ T ) ) @ U ) @ ( res @ X @ ( par @ S @ ( par @ T @ U ) ) ) ) @ rel ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_FreshExt_H) ).
thf(303,axiom,
! [X: name,S: pi,T: pi,U: pi] :
( ( fresh_name_pi @ X @ S )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X @ ( par @ ( par @ S @ T ) @ U ) ) @ ( par @ S @ ( res @ X @ ( par @ T @ U ) ) ) ) @ rel ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_FreshExt) ).
thf(304,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_19_simps_I8_J) ).
thf(305,axiom,
! [X: name,C: name,D: name,P: pi] :
( ( X != C )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C @ D )
= ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_simps_I9_J) ).
thf(306,axiom,
fresh_name_pi @ x @ ( par @ q @ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_cClose2_Ohyps_I4_J) ).
thf(307,axiom,
fresh_name_pi @ y @ ( par @ q @ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_cClose2_Ohyps_I9_J) ).
thf(308,axiom,
fresh_name_pi @ x @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_cClose2_Ohyps_I3_J) ).
thf(309,axiom,
fresh_name_pi @ y @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_cClose2_Ohyps_I8_J) ).
thf(310,axiom,
fresh_name_pi @ x @ p2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_cClose2_Ohyps_I7_J) ).
thf(311,axiom,
fresh_name_pi @ x @ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_cClose2_Ohyps_I12_J) ).
thf(312,axiom,
fresh_name_pi @ y @ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_cClose2_Ohyps_I13_J) ).
thf(313,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_092_060close_062) ).
thf(314,axiom,
member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) @ ( res @ y @ ( par @ p2 @ ( par @ ( subs @ q2 @ x @ y ) @ r ) ) ) ) @ rel,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9__092_060open_062_I_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_M_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_A_092_060parallel_062_AR_J_J_A_092_060in_062_ARel_092_060close_062) ).
thf(316,axiom,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_092_060close_062) ).
thf(317,axiom,
member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062_I_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_M_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_A_IQ_H_A_092_060parallel_062_AR_J_091x_058_058_061y_093_J_J_A_092_060in_062_ARel_092_060close_062) ).
thf(318,axiom,
! [S: pi,T: pi,X: name] :
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ S @ T ) @ rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X @ S ) @ ( res @ X @ T ) ) @ rel ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_Res) ).
thf(319,axiom,
! [S: pi,T: pi,U: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( par @ S @ T ) @ U ) @ ( par @ S @ ( par @ T @ U ) ) ) @ rel ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_Ass) ).
thf(320,axiom,
x != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_cClose2_Ohyps_I5_J) ).
thf(321,axiom,
y != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_cClose2_Ohyps_I10_J) ).
thf(322,axiom,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cClose2_Ohyps_I6_J) ).
thf(323,axiom,
alpha = late_TauR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cClose2_Ohyps_I14_J) ).
thf(324,conjecture,
? [P6: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ P6 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(325,negated_conjecture,
( ( ? [P6: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ P6 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[324]) ).
thf(326,plain,
( ( ? [P6: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ P6 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $false ),
inference(unfold_def,[status(thm)],[325]) ).
thf(327,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(328,plain,
( ( ! [Name2: name,Pi3: pi,Pi: pi] :
( ( res @ Name2 @ Pi3 )
!= ( bang @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
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)],[6]) ).
thf(330,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(331,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)],[8]) ).
thf(332,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)],[9]) ).
thf(333,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(334,plain,
( ( ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(335,plain,
( ( ! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C @ D )
= ( sum @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(336,plain,
( ( ! [P: pi,C: name,D: name] :
( ( subs @ ( bang @ P ) @ C @ D )
= ( bang @ ( subs @ P @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(337,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)],[36]) ).
thf(338,plain,
( ( ! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(339,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A3: name,B3: name] :
( ( ( A = A3 )
& ( B = B3 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A3 = B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(340,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)],[39]) ).
thf(341,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( mismatch @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(342,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( mismatch @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(343,plain,
( ( ! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(344,plain,
( ( ! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(345,plain,
( ( ! [Pi12: pi,Pi22: pi] :
( piNil
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(346,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( match @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(347,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( match @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(348,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(349,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(350,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)],[65]) ).
thf(351,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)],[66]) ).
thf(352,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)],[67]) ).
thf(353,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)],[68]) ).
thf(354,plain,
( ( ! [C: name,D: name] :
( ( subs @ piNil @ C @ D )
= piNil ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(355,plain,
( ( ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,Alpha: late_freeRes,Q2: pi] :
( ( strong743114133lation @ P @ Rel @ Q )
=> ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ? [P5: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P5 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P5 @ Q2 ) @ Rel ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(356,plain,
( ( ! [Rel: set_Pr1834926343_pi_pi,P: pi,Q: pi] :
( ! [R: pi,S2: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ R @ S2 ) @ ( par @ S2 @ R ) ) @ Rel )
=> ( ! [R: pi,S2: pi,X4: name] :
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ R @ S2 ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ R ) @ ( res @ X4 @ S2 ) ) @ Rel ) )
=> ( strong743114133lation @ ( par @ P @ Q ) @ Rel @ ( par @ Q @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(357,plain,
( ( ! [X1: name,X2: pi,Y1: name,Y2: pi] :
( ( ( res @ X1 @ X2 )
= ( res @ Y1 @ Y2 ) )
= ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(358,plain,
( ( ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(359,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( tau @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( tau @ P )
= ( tau @ P4 ) )
=> ( Rs
!= ( late_FreeR @ late_TauR @ P4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(360,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( ( Alpha = late_TauR )
=> ( ( P = P2 )
=> ( Prop @ late_TauR @ P ) ) )
=> ( Prop @ Alpha @ P2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(361,plain,
( ( ! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(362,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(363,plain,
( ( ! [X: name,Y: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(364,plain,
( ( ! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(365,plain,
( ( ! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(366,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( input @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(367,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(368,plain,
( ( ! [P: pi,C: name,D: name] :
( ( subs @ ( tau @ P ) @ C @ D )
= ( tau @ ( subs @ P @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(369,plain,
( ( ! [Name1: name,Name22: name] :
( ( late_OutputR @ Name1 @ Name22 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(370,plain,
( ( ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
( ! [Name12: name,Name23: name] : ( P @ ( late_OutputR @ Name12 @ Name23 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(371,plain,
( ( ! [Y: late_freeRes] :
( ! [X112: name,X123: name] :
( Y
!= ( late_OutputR @ X112 @ X123 ) )
=> ( Y = late_TauR ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(372,plain,
( ( ! [X11: name,X122: name] :
( ( late_OutputR @ X11 @ X122 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(373,plain,
( ( ! [A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(374,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ Y @ Alpha )
=> ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(375,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P5: pi,Y3: name] :
( ( ( res @ X @ P )
= ( res @ Y3 @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P2 )
= ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P5 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P5 ) )
=> ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(376,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P5: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P5 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P5 ) ) ) )
=> ( F @ XP ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(377,plain,
( ( ! [X: name,B: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( output @ X @ B @ P ) ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(378,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(379,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(380,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) )
=> ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(381,plain,
( ( ! [Subject: late_subject,Name2: name,Pi3: pi,FreeRes: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject @ Name2 @ Pi3 )
!= ( late_FreeR @ FreeRes @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(382,plain,
( ( ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(383,plain,
( ( ! [X: name,A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( output @ A @ B @ P ) ) @ ( late_FreeR @ late_TauR @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(384,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(385,plain,
( ( ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(386,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)],[237]) ).
thf(387,plain,
( ( ! [P3: product_prod_pi_pi] :
? [X4: pi,Y3: pi] :
( P3
= ( product_Pair_pi_pi @ X4 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(388,plain,
( ( ! [P: product_prod_pi_pi > $o,P3: product_prod_pi_pi] :
( ! [A3: pi,B3: pi] : ( P @ ( product_Pair_pi_pi @ A3 @ B3 ) )
=> ( P @ P3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(389,plain,
( ( ! [A: pi,B: pi,A2: pi,B2: pi] :
( ( ( product_Pair_pi_pi @ A @ B )
= ( product_Pair_pi_pi @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(390,plain,
( ( ! [A4: set_Pr1834926343_pi_pi] :
( ( collec1051790738_pi_pi
@ ^ [X3: product_prod_pi_pi] : ( member558706512_pi_pi @ X3 @ A4 ) )
= A4 ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(391,plain,
( ( ! [A: product_prod_pi_pi,P: product_prod_pi_pi > $o] :
( ( member558706512_pi_pi @ A @ ( collec1051790738_pi_pi @ P ) )
= ( P @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(392,plain,
( ( ! [Y: product_prod_pi_pi] :
~ ! [A3: pi,B3: pi] :
( Y
!= ( product_Pair_pi_pi @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(393,plain,
( ( ! [P: product_prod_pi_pi > $o,Prod: product_prod_pi_pi] :
( ! [A3: pi,B3: pi] : ( P @ ( product_Pair_pi_pi @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(394,plain,
( ( ! [B: name,P: pi,A: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( res @ A @ P )
= ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(395,plain,
( ( ! [B: name,P: pi,A: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( res @ A @ P ) @ A @ B )
= ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(396,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(397,plain,
( ( ! [A: name,P: pi,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( subs @ P @ A @ B )
= P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(398,plain,
( ( ! [A: name,P: pi,C: name,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( A != C )
=> ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(399,plain,
( ( ! [A: name,B: name,P: pi] :
( ( A != B )
=> ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(400,plain,
( ( ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(401,plain,
( ( ! [B: name,P: pi,A: name,C: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
= ( subs @ P @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(402,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)],[283]) ).
thf(403,plain,
( ( ! [A: pi,B: pi,A2: pi,B2: pi] :
( ( ( product_Pair_pi_pi @ A @ B )
= ( product_Pair_pi_pi @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(404,plain,
( ( ! [X1: pi,X2: pi,Y1: pi,Y2: pi] :
( ( ( product_Pair_pi_pi @ X1 @ X2 )
= ( product_Pair_pi_pi @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(405,plain,
( ( fresh_name_pi @ y @ r )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(406,plain,
( ( fresh_name_pi @ x @ r )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(407,plain,
( ( ! [P: pi,A: name] :
( ( subs @ P @ A @ A )
= P ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(408,plain,
( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(409,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(410,plain,
( ( ! [X: name,U: pi,S: pi,T: pi] :
( ( fresh_name_pi @ X @ U )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ X @ ( par @ S @ T ) ) @ U ) @ ( res @ X @ ( par @ S @ ( par @ T @ U ) ) ) ) @ rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(411,plain,
( ( ! [X: name,S: pi,T: pi,U: pi] :
( ( fresh_name_pi @ X @ S )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X @ ( par @ ( par @ S @ T ) @ U ) ) @ ( par @ S @ ( res @ X @ ( par @ T @ U ) ) ) ) @ rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(412,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)],[304]) ).
thf(413,plain,
( ( ! [X: name,C: name,D: name,P: pi] :
( ( X != C )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C @ D )
= ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(414,plain,
( ( fresh_name_pi @ x @ ( par @ q @ r ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(415,plain,
( ( fresh_name_pi @ y @ ( par @ q @ r ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(416,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(417,plain,
( ( fresh_name_pi @ y @ p )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(418,plain,
( ( fresh_name_pi @ x @ p2 )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(419,plain,
( ( fresh_name_pi @ x @ q )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(420,plain,
( ( fresh_name_pi @ y @ q )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(421,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(422,plain,
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) @ ( res @ y @ ( par @ p2 @ ( par @ ( subs @ q2 @ x @ y ) @ r ) ) ) ) @ rel )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(423,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(424,plain,
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(425,plain,
( ( ! [S: pi,T: pi,X: name] :
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ S @ T ) @ rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X @ S ) @ ( res @ X @ T ) ) @ rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(426,plain,
( ( ! [S: pi,T: pi,U: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( par @ S @ T ) @ U ) @ ( par @ S @ ( par @ T @ U ) ) ) @ rel ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(427,plain,
( ( x != a )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(428,plain,
( ( y != a )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(429,plain,
( ( x != y )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(430,plain,
( ( alpha = late_TauR )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(431,plain,
( ( ~ ? [P6: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ P6 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[326]) ).
thf(432,plain,
( ( alpha = late_TauR )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(433,plain,
( ( x != y )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(434,plain,
( ( y != a )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(435,plain,
( ( x != a )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(436,plain,
( ( ! [S: pi,T: pi,U: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( par @ S @ T ) @ U ) @ ( par @ S @ ( par @ T @ U ) ) ) @ rel ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(437,plain,
( ( ! [S: pi,T: pi,X: name] :
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ S @ T ) @ rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X @ S ) @ ( res @ X @ T ) ) @ rel ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(438,plain,
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(439,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(440,plain,
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) @ ( res @ y @ ( par @ p2 @ ( par @ ( subs @ q2 @ x @ y ) @ r ) ) ) ) @ rel )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(441,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(442,plain,
( ( fresh_name_pi @ y @ q )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(443,plain,
( ( fresh_name_pi @ x @ q )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(444,plain,
( ( fresh_name_pi @ x @ p2 )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(445,plain,
( ( fresh_name_pi @ y @ p )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(446,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(447,plain,
( ( fresh_name_pi @ y @ ( par @ q @ r ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(448,plain,
( ( fresh_name_pi @ x @ ( par @ q @ r ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(449,plain,
( ( ! [X: name,C: name,D: name,P: pi] :
( ( X != C )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C @ D )
= ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(450,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)],[412]) ).
thf(451,plain,
( ( ! [X: name,S: pi,T: pi,U: pi] :
( ( fresh_name_pi @ X @ S )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X @ ( par @ ( par @ S @ T ) @ U ) ) @ ( par @ S @ ( res @ X @ ( par @ T @ U ) ) ) ) @ rel ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(452,plain,
( ( ! [X: name,U: pi,S: pi,T: pi] :
( ( fresh_name_pi @ X @ U )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ X @ ( par @ S @ T ) ) @ U ) @ ( res @ X @ ( par @ S @ ( par @ T @ U ) ) ) ) @ rel ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(453,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(454,plain,
( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(455,plain,
( ( ! [P: pi,A: name] :
( ( subs @ P @ A @ A )
= P ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(456,plain,
( ( fresh_name_pi @ x @ r )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(457,plain,
( ( fresh_name_pi @ y @ r )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(458,plain,
( ( ! [X1: pi,X2: pi,Y1: pi,Y2: pi] :
( ( ( product_Pair_pi_pi @ X1 @ X2 )
= ( product_Pair_pi_pi @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(459,plain,
( ( ! [A: pi,B: pi,A2: pi,B2: pi] :
( ( ( product_Pair_pi_pi @ A @ B )
= ( product_Pair_pi_pi @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(460,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)],[402]) ).
thf(461,plain,
( ( ! [B: name,P: pi,A: name,C: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
= ( subs @ P @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(462,plain,
( ( ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(463,plain,
( ( ! [A: name,B: name,P: pi] :
( ( A != B )
=> ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(464,plain,
( ( ! [A: name,P: pi,C: name,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( A != C )
=> ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(465,plain,
( ( ! [A: name,P: pi,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( subs @ P @ A @ B )
= P ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(466,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(467,plain,
( ( ! [B: name,P: pi,A: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( res @ A @ P ) @ A @ B )
= ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(468,plain,
( ( ! [B: name,P: pi,A: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( res @ A @ P )
= ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(469,plain,
( ( ! [P: product_prod_pi_pi > $o,Prod: product_prod_pi_pi] :
( ! [A3: pi,B3: pi] : ( P @ ( product_Pair_pi_pi @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(470,plain,
( ( ! [Y: product_prod_pi_pi] :
~ ! [A3: pi,B3: pi] :
( Y
!= ( product_Pair_pi_pi @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(471,plain,
( ( ! [A: product_prod_pi_pi,P: product_prod_pi_pi > $o] :
( ( member558706512_pi_pi @ A @ ( collec1051790738_pi_pi @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(472,plain,
( ( ! [A4: set_Pr1834926343_pi_pi] :
( ( collec1051790738_pi_pi
@ ^ [X3: product_prod_pi_pi] : ( member558706512_pi_pi @ X3 @ A4 ) )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(473,plain,
( ( ! [A: pi,B: pi,A2: pi,B2: pi] :
( ( ( product_Pair_pi_pi @ A @ B )
= ( product_Pair_pi_pi @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(474,plain,
( ( ! [P: product_prod_pi_pi > $o,P3: product_prod_pi_pi] :
( ! [A3: pi,B3: pi] : ( P @ ( product_Pair_pi_pi @ A3 @ B3 ) )
=> ( P @ P3 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(475,plain,
( ( ! [P3: product_prod_pi_pi] :
? [X4: pi,Y3: pi] :
( P3
= ( product_Pair_pi_pi @ X4 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(476,plain,
( ( ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(477,plain,
( ( ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(478,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(479,plain,
( ( ! [X: name,A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( output @ A @ B @ P ) ) @ ( late_FreeR @ late_TauR @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(480,plain,
( ( ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(481,plain,
( ( ! [Subject: late_subject,Name2: name,Pi3: pi,FreeRes: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject @ Name2 @ Pi3 )
!= ( late_FreeR @ FreeRes @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(482,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) )
=> ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(483,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(484,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(485,plain,
( ( ! [X: name,B: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( output @ X @ B @ P ) ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(486,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P5: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P5 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P5 ) ) ) )
=> ( F @ XP ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(487,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P5: pi,Y3: name] :
( ( ( res @ X @ P )
= ( res @ Y3 @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P2 )
= ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P5 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P5 ) )
=> ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(488,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ Y @ Alpha )
=> ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(489,plain,
( ( ! [A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(490,plain,
( ( ! [X11: name,X122: name] :
( ( late_OutputR @ X11 @ X122 )
!= late_TauR ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(491,plain,
( ( ! [Y: late_freeRes] :
( ! [X112: name,X123: name] :
( Y
!= ( late_OutputR @ X112 @ X123 ) )
=> ( Y = late_TauR ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(492,plain,
( ( ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
( ! [Name12: name,Name23: name] : ( P @ ( late_OutputR @ Name12 @ Name23 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(493,plain,
( ( ! [Name1: name,Name22: name] :
( ( late_OutputR @ Name1 @ Name22 )
!= late_TauR ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(494,plain,
( ( ! [P: pi,C: name,D: name] :
( ( subs @ ( tau @ P ) @ C @ D )
= ( tau @ ( subs @ P @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(495,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(496,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( input @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(497,plain,
( ( ! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(498,plain,
( ( ! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(499,plain,
( ( ! [X: name,Y: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(500,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(501,plain,
( ( ! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(502,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( ( Alpha = late_TauR )
=> ( ( P = P2 )
=> ( Prop @ late_TauR @ P ) ) )
=> ( Prop @ Alpha @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(503,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( tau @ P ) @ Rs )
=> ~ ! [P4: pi] :
( ( ( tau @ P )
= ( tau @ P4 ) )
=> ( Rs
!= ( late_FreeR @ late_TauR @ P4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(504,plain,
( ( ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(505,plain,
( ( ! [X1: name,X2: pi,Y1: name,Y2: pi] :
( ( ( res @ X1 @ X2 )
= ( res @ Y1 @ Y2 ) )
= ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(506,plain,
( ( ! [Rel: set_Pr1834926343_pi_pi,P: pi,Q: pi] :
( ! [R: pi,S2: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ R @ S2 ) @ ( par @ S2 @ R ) ) @ Rel )
=> ( ! [R: pi,S2: pi,X4: name] :
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ R @ S2 ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ R ) @ ( res @ X4 @ S2 ) ) @ Rel ) )
=> ( strong743114133lation @ ( par @ P @ Q ) @ Rel @ ( par @ Q @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(507,plain,
( ( ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,Alpha: late_freeRes,Q2: pi] :
( ( strong743114133lation @ P @ Rel @ Q )
=> ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ? [P5: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P5 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P5 @ Q2 ) @ Rel ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(508,plain,
( ( ! [C: name,D: name] :
( ( subs @ piNil @ C @ D )
= piNil ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(509,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)],[353]) ).
thf(510,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(511,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)],[351]) ).
thf(512,plain,
( ( ! [P: pi,Rs: late_residual,B: name] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( match @ B @ B @ P ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(513,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(514,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(515,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( match @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(516,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( match @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(517,plain,
( ( ! [Pi12: pi,Pi22: pi] :
( piNil
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(518,plain,
( ( ! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(519,plain,
( ( ! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(520,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( mismatch @ Name1 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(521,plain,
( ( ! [Name1: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( mismatch @ Name1 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(522,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)],[340]) ).
thf(523,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A3: name,B3: name] :
( ( ( A = A3 )
& ( B = B3 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A3 = B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(524,plain,
( ( ! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(525,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)],[337]) ).
thf(526,plain,
( ( ! [P: pi,C: name,D: name] :
( ( subs @ ( bang @ P ) @ C @ D )
= ( bang @ ( subs @ P @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(527,plain,
( ( ! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C @ D )
= ( sum @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(528,plain,
( ( ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(529,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(530,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)],[332]) ).
thf(531,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)],[331]) ).
thf(532,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(533,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(534,plain,
( ( ! [Name2: name,Pi3: pi,Pi: pi] :
( ( res @ Name2 @ Pi3 )
!= ( bang @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(535,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(536,plain,
( ( ~ ? [P6: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ P6 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(537,plain,
( ( ! [SX0: product_prod_pi_pi > $o,SX1: product_prod_pi_pi] :
( ~ ! [SX2: pi,SX3: pi] : ( SX0 @ ( product_Pair_pi_pi @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(538,plain,
( ( ! [SX0: name,SX1: pi,SX2: late_freeRes,SX3: pi,SX4: pi > $o] :
( ~ ( late_transitions @ ( res @ SX0 @ SX1 ) @ ( late_FreeR @ SX2 @ SX3 ) )
| ~ ! [SX5: pi] :
( ~ ( late_transitions @ SX1 @ ( late_FreeR @ SX2 @ SX5 ) )
| ~ ( fresh_1641682979reeRes @ SX0 @ SX2 )
| ( SX4 @ ( res @ SX0 @ SX5 ) ) )
| ( SX4 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(539,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)],[510]) ).
thf(540,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)],[531]) ).
thf(541,plain,
( ( ! [SX0: name,SX1: pi,SX2: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( subs @ ( res @ SX2 @ SX1 ) @ SX2 @ SX0 )
= ( res @ SX0 @ ( subs @ SX1 @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(542,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( ( product_Pair_pi_pi @ SX0 @ SX1 )
!= ( product_Pair_pi_pi @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(543,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)],[525]) ).
thf(544,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)],[454]) ).
thf(545,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( match @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(546,plain,
( ( x != a )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(547,plain,
( ( ! [SX0: set_Pr1834926343_pi_pi,SX1: pi,SX2: pi] :
( ~ ! [SX3: pi,SX4: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ SX3 @ SX4 ) @ ( par @ SX4 @ SX3 ) ) @ SX0 )
| ~ ! [SX3: pi,SX4: pi,SX5: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SX3 @ SX4 ) @ SX0 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SX5 @ SX3 ) @ ( res @ SX5 @ SX4 ) ) @ SX0 ) )
| ( strong743114133lation @ ( par @ SX1 @ SX2 ) @ SX0 @ ( par @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[506]) ).
thf(548,plain,
( ( ! [SX0: product_prod_pi_pi] :
~ ! [SX1: pi] :
~ ~ ! [SX2: pi] :
( SX0
!= ( product_Pair_pi_pi @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(549,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name,SX4: pi] :
( ( mismatch @ SX0 @ SX1 @ SX2 )
!= ( res @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(550,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( sum @ SX0 @ SX1 )
!= ( par @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[528]) ).
thf(551,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name,SX3: pi] :
( ( par @ SX0 @ SX1 )
!= ( res @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(552,plain,
( ( ! [SX0: late_freeRes,SX1: pi,SX2: late_freeRes,SX3: pi] :
( ( ( late_FreeR @ SX0 @ SX1 )
= ( late_FreeR @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(553,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[532]) ).
thf(554,plain,
( ( ! [SX0: name,SX1: pi,SX2: pi,SX3: pi] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ SX0 @ ( par @ SX2 @ SX3 ) ) @ SX1 ) @ ( res @ SX0 @ ( par @ SX2 @ ( par @ SX3 @ SX1 ) ) ) ) @ rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(555,plain,
( ( ! [SX0: name,SX1: pi,SX2: name,SX3: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ~ ( ( SX0 != SX2 ) )
| ( fresh_name_pi @ SX0 @ ( subs @ SX1 @ SX3 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(556,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(557,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( input @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[495]) ).
thf(558,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)],[530]) ).
thf(559,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( output @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(560,plain,
( ( ! [SX0: pi,SX1: pi] :
( piNil
!= ( par @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(561,plain,
( ( ! [SX0: name,SX1: pi] :
( piNil
!= ( res @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(562,plain,
( ( ! [SX0: pi,SX1: set_Pr1834926343_pi_pi,SX2: pi,SX3: late_freeRes,SX4: pi] :
( ~ ( strong743114133lation @ SX0 @ SX1 @ SX2 )
| ~ ( late_transitions @ SX2 @ ( late_FreeR @ SX3 @ SX4 ) )
| ~ ! [SX5: pi] :
~ ~ ( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX3 @ SX5 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SX5 @ SX4 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(563,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)],[509]) ).
thf(564,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)],[476]) ).
thf(565,plain,
( ( ! [SX0: product_prod_pi_pi] :
~ ! [SX1: pi,SX2: pi] :
( SX0
!= ( product_Pair_pi_pi @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(566,plain,
( ( ! [SX0: late_freeRes] :
( ~ ! [SX1: name,SX2: name] :
( SX0
!= ( late_OutputR @ SX1 @ SX2 ) )
| ( SX0 = late_TauR ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(567,plain,
( ( ! [SX0: pi,SX1: name,SX2: pi] :
( ( tau @ SX0 )
!= ( res @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(568,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( ( product_Pair_pi_pi @ SX0 @ SX1 )
= ( product_Pair_pi_pi @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(569,plain,
( ( ! [SX0: name,SX1: name] :
( ( late_OutputR @ SX0 @ SX1 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(570,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)],[511]) ).
thf(571,plain,
( ( y != a )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(572,plain,
( ( ! [SX0: name,SX1: name,SX2: name,SX3: pi] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ( SX0 != SX2 ) )
| ( ( subs @ ( res @ SX0 @ SX3 ) @ SX1 @ SX2 )
= ( res @ SX0 @ ( subs @ SX3 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(573,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SX0 @ SX1 ) @ rel )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SX2 @ SX0 ) @ ( res @ SX2 @ SX1 ) ) @ rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(574,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( ( product_Pair_pi_pi @ SX0 @ SX1 )
= ( product_Pair_pi_pi @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(575,plain,
( ( ! [SX0: name,SX1: pi,SX2: pi,SX3: pi] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SX0 @ ( par @ ( par @ SX1 @ SX2 ) @ SX3 ) ) @ ( par @ SX1 @ ( res @ SX0 @ ( par @ SX2 @ SX3 ) ) ) ) @ rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(576,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name,SX4: pi] :
( ( match @ SX0 @ SX1 @ SX2 )
!= ( res @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(577,plain,
( ( ~ ~ ! [SX0: pi] :
~ ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SX0 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SX0 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(578,plain,
( ( ! [SX0: name,SX1: pi,SX2: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( res @ SX2 @ SX1 )
= ( res @ SX0 @ ( subs @ SX1 @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(579,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: name] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ~ ( fresh_name_pi @ SX3 @ SX0 )
| ( fresh_name_pi @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(580,plain,
( ( ! [SX0: name,SX1: name] :
( ( late_OutputR @ SX0 @ SX1 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[493]) ).
thf(581,plain,
( ( ! [SX0: pi,SX1: late_residual] :
( ~ ( late_transitions @ ( tau @ SX0 ) @ SX1 )
| ~ ! [SX2: pi] :
( ( ( tau @ SX0 )
!= ( tau @ SX2 ) )
| ( SX1
!= ( late_FreeR @ late_TauR @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(582,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi] :
( ( tau @ SX0 )
!= ( par @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(583,plain,
( ( ! [SX0: name,SX1: name,SX2: pi] :
( ~ ( ( SX0 != SX1 ) )
| ( fresh_name_pi @ SX0 @ ( subs @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(584,plain,
( ( ! [SX0: product_prod_pi_pi > $o,SX1: product_prod_pi_pi] :
( ~ ! [SX2: pi,SX3: pi] : ( SX0 @ ( product_Pair_pi_pi @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(585,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: late_freeRes > pi > $o] :
( ~ ( late_transitions @ ( tau @ SX0 ) @ ( late_FreeR @ SX1 @ SX2 ) )
| ~ ( ( SX1 != late_TauR )
| ( SX0 != SX2 )
| ( SX3 @ late_TauR @ SX0 ) )
| ( SX3 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(586,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)],[481]) ).
thf(587,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)],[523]) ).
thf(588,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)],[453]) ).
thf(589,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)],[512]) ).
thf(590,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name,SX4: pi] :
( ( input @ SX0 @ SX1 @ SX2 )
!= ( res @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(591,plain,
( ( ! [SX0: name,SX1: pi,SX2: name,SX3: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( subs @ ( subs @ SX1 @ SX2 @ SX0 ) @ SX0 @ SX3 )
= ( subs @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(592,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)],[522]) ).
thf(593,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name,SX3: pi] :
( ( sum @ SX0 @ SX1 )
!= ( res @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[529]) ).
thf(594,plain,
( ( ! [SX0: name,SX1: pi,SX2: pi] :
( ( res @ SX0 @ SX1 )
!= ( bang @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[534]) ).
thf(595,plain,
( ( ! [SX0: name,SX1: pi,SX2: late_freeRes,SX3: pi] :
( ~ ( late_transitions @ ( res @ SX0 @ SX1 ) @ ( late_FreeR @ SX2 @ SX3 ) )
| ~ ! [SX4: pi,SX5: late_freeRes,SX6: pi,SX7: name] :
( ( ( res @ SX0 @ SX1 )
!= ( res @ SX7 @ SX4 ) )
| ( ( late_FreeR @ SX2 @ SX3 )
!= ( late_FreeR @ SX5 @ ( res @ SX7 @ SX6 ) ) )
| ~ ( late_transitions @ SX4 @ ( late_FreeR @ SX5 @ SX6 ) )
| ~ ( fresh_1641682979reeRes @ SX7 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(596,plain,
( ( ! [SX0: late_freeRes > $o,SX1: late_freeRes] :
( ~ ! [SX2: name,SX3: name] : ( SX0 @ ( late_OutputR @ SX2 @ SX3 ) )
| ~ ( SX0 @ late_TauR )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[492]) ).
thf(597,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)],[482]) ).
thf(598,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)],[460]) ).
thf(599,plain,
( ( x != y )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(600,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( mismatch @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(601,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name,SX4: pi] :
( ( output @ SX0 @ SX1 @ SX2 )
!= ( res @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(602,plain,
( ( ! [SX0: name,SX1: pi,SX2: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( subs @ SX1 @ SX0 @ SX2 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(603,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: name] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ~ ( fresh_1641682979reeRes @ SX3 @ SX1 )
| ( late_transitions @ ( res @ SX3 @ SX0 ) @ ( late_FreeR @ SX1 @ ( res @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(604,plain,
! [SV1: pi] :
( ( ! [SY326: pi,SY327: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( par @ SV1 @ SY326 ) @ SY327 ) @ ( par @ SV1 @ ( par @ SY326 @ SY327 ) ) ) @ rel ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(605,plain,
! [SV2: pi] :
( ( ! [SY328: pi,SY329: name,SY330: name] :
( ( subs @ ( par @ SV2 @ SY328 ) @ SY329 @ SY330 )
= ( par @ ( subs @ SV2 @ SY329 @ SY330 ) @ ( subs @ SY328 @ SY329 @ SY330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(606,plain,
! [SV3: pi] :
( ( ! [SY331: name] :
( ( subs @ SV3 @ SY331 @ SY331 )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(607,plain,
! [SV4: name] :
( ( ! [SY332: pi] : ( fresh_name_pi @ SV4 @ ( res @ SV4 @ SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(608,plain,
! [SV5: product_prod_pi_pi] :
( ( ! [SY333: product_prod_pi_pi > $o] :
( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SY333 ) )
= ( SY333 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(609,plain,
! [SV6: set_Pr1834926343_pi_pi] :
( ( ( collec1051790738_pi_pi
@ ^ [SY334: product_prod_pi_pi] : ( member558706512_pi_pi @ SY334 @ SV6 ) )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(610,plain,
! [SV7: name] :
( ( ! [SY335: name,SY336: name,SY337: pi,SY338: pi] :
~ ( late_transitions @ ( res @ SV7 @ ( output @ SY335 @ SY336 @ SY337 ) ) @ ( late_FreeR @ late_TauR @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(611,plain,
! [SV8: name] :
( ( fresh_1641682979reeRes @ SV8 @ late_TauR )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(612,plain,
! [SV9: name] :
( ( ! [SY339: name,SY340: pi,SY341: late_residual] :
~ ( late_transitions @ ( res @ SV9 @ ( output @ SV9 @ SY339 @ SY340 ) ) @ SY341 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(613,plain,
! [SV10: name] :
( ( ! [SY342: name,SY343: pi,SY344: pi] :
~ ( late_transitions @ ( output @ SV10 @ SY342 @ SY343 ) @ ( late_FreeR @ late_TauR @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(614,plain,
! [SV11: pi] :
( ( ! [SY345: name,SY346: name] :
( ( subs @ ( tau @ SV11 ) @ SY345 @ SY346 )
= ( tau @ ( subs @ SV11 @ SY345 @ SY346 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(615,plain,
! [SV12: name] :
( ( ! [SY347: name,SY348: pi,SY349: late_residual] :
~ ( late_transitions @ ( res @ SV12 @ ( input @ SV12 @ SY347 @ SY348 ) ) @ SY349 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(616,plain,
! [SV13: name] :
( ( ! [SY350: name,SY351: pi,SY352: late_freeRes,SY353: pi] :
~ ( late_transitions @ ( input @ SV13 @ SY350 @ SY351 ) @ ( late_FreeR @ SY352 @ SY353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(617,plain,
! [SV14: name] :
( ( ! [SY354: name,SY355: name,SY356: pi,SY357: late_freeRes,SY358: pi] :
~ ( late_transitions @ ( res @ SV14 @ ( input @ SY354 @ SY355 @ SY356 ) ) @ ( late_FreeR @ SY357 @ SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(618,plain,
! [SV15: pi] :
( ( late_transitions @ ( tau @ SV15 ) @ ( late_FreeR @ late_TauR @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(619,plain,
! [SV16: name] :
( ( ! [SY359: pi,SY360: name,SY361: pi] :
( ( ( res @ SV16 @ SY359 )
= ( res @ SY360 @ SY361 ) )
= ( ( abs_fun_name_pi @ SV16 @ SY359 )
= ( abs_fun_name_pi @ SY360 @ SY361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(620,plain,
! [SV17: name] :
( ( ! [SY362: name] :
( ( subs @ piNil @ SV17 @ SY362 )
= piNil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(621,plain,
! [SV18: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(622,plain,
! [SV19: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(623,plain,
! [SV20: name] :
( ( ! [SY363: late_residual] :
~ ( late_transitions @ ( res @ SV20 @ piNil ) @ SY363 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(624,plain,
! [SV21: name] :
( ( ! [SY364: pi,SY365: late_residual] :
~ ( late_transitions @ ( mismatch @ SV21 @ SV21 @ SY364 ) @ SY365 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(625,plain,
! [SV22: pi] :
( ( ! [SY366: name,SY367: name] :
( ( subs @ ( bang @ SV22 ) @ SY366 @ SY367 )
= ( bang @ ( subs @ SV22 @ SY366 @ SY367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(626,plain,
! [SV23: pi] :
( ( ! [SY368: pi,SY369: name,SY370: name] :
( ( subs @ ( sum @ SV23 @ SY368 ) @ SY369 @ SY370 )
= ( sum @ ( subs @ SV23 @ SY369 @ SY370 ) @ ( subs @ SY368 @ SY369 @ SY370 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(627,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
| ( SV24 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[535]) ).
thf(628,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[535]) ).
thf(629,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[535]) ).
thf(630,plain,
! [SV25: product_prod_pi_pi > $o] :
( ( ! [SY371: product_prod_pi_pi] :
( ~ ! [SY372: pi,SY373: pi] : ( SV25 @ ( product_Pair_pi_pi @ SY372 @ SY373 ) )
| ( SV25 @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(631,plain,
! [SV26: name] :
( ( ! [SY374: pi,SY375: late_freeRes,SY376: pi,SY377: pi > $o] :
( ~ ( late_transitions @ ( res @ SV26 @ SY374 ) @ ( late_FreeR @ SY375 @ SY376 ) )
| ~ ! [SY378: pi] :
( ~ ( late_transitions @ SY374 @ ( late_FreeR @ SY375 @ SY378 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SY375 )
| ( SY377 @ ( res @ SV26 @ SY378 ) ) )
| ( SY377 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(632,plain,
! [SV27: name] :
( ( ! [SY379: name,SY380: pi,SY381: late_residual] :
( ~ ( late_transitions @ ( match @ SV27 @ SY379 @ SY380 ) @ SY381 )
| ( SV27 = SY379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(633,plain,
! [SV28: pi] :
( ( ! [SY382: pi,SY383: late_residual] :
( ~ ( late_transitions @ ( sum @ SV28 @ SY382 ) @ SY383 )
| ~ ~ ( late_transitions @ SV28 @ SY383 )
| ( late_transitions @ SY382 @ SY383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(634,plain,
! [SV29: name] :
( ( ! [SY384: pi,SY385: name] :
( ~ ( fresh_name_pi @ SV29 @ SY384 )
| ( ( subs @ ( res @ SY385 @ SY384 ) @ SY385 @ SV29 )
= ( res @ SV29 @ ( subs @ SY384 @ SY385 @ SV29 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(635,plain,
! [SV30: pi] :
( ( ! [SY386: pi,SY387: pi,SY388: pi] :
( ( ( product_Pair_pi_pi @ SV30 @ SY386 )
!= ( product_Pair_pi_pi @ SY387 @ SY388 ) )
| ~ ( ( SV30 != SY387 )
| ( SY386 != SY388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(636,plain,
! [SV31: name] :
( ( ! [SY389: name,SY390: pi,SY391: late_residual,SY392: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV31 @ SY389 @ SY390 ) @ SY391 )
| ~ ( ~ ( late_transitions @ SY390 @ SY391 )
| ~ ( ( SV31 != SY389 ) )
| ( SY392 @ SV31 @ SY389 ) )
| ( SY392 @ SV31 @ SY389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(637,plain,
! [SV32: pi] :
( ( ! [SY393: late_freeRes,SY394: pi,SY395: pi] :
( ~ ( late_transitions @ SV32 @ ( late_FreeR @ SY393 @ SY394 ) )
| ( late_transitions @ ( par @ SY395 @ SV32 ) @ ( late_FreeR @ SY393 @ ( par @ SY395 @ SY394 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(638,plain,
! [SV33: name] :
( ( ! [SY396: name,SY397: pi,SY398: pi,SY399: pi] :
( ( match @ SV33 @ SY396 @ SY397 )
!= ( par @ SY398 @ SY399 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(639,plain,
( ( x = a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(640,plain,
! [SV34: set_Pr1834926343_pi_pi] :
( ( ! [SY400: pi,SY401: pi] :
( ~ ! [SY402: pi,SY403: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ SY402 @ SY403 ) @ ( par @ SY403 @ SY402 ) ) @ SV34 )
| ~ ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) )
| ( strong743114133lation @ ( par @ SY400 @ SY401 ) @ SV34 @ ( par @ SY401 @ SY400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(641,plain,
! [SV35: product_prod_pi_pi] :
( ( ~ ! [SY407: pi] :
~ ~ ! [SY408: pi] :
( SV35
!= ( product_Pair_pi_pi @ SY407 @ SY408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(642,plain,
! [SV36: name] :
( ( ! [SY409: name,SY410: pi,SY411: name,SY412: pi] :
( ( mismatch @ SV36 @ SY409 @ SY410 )
!= ( res @ SY411 @ SY412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(643,plain,
! [SV37: pi] :
( ( ! [SY413: pi,SY414: pi,SY415: pi] :
( ( sum @ SV37 @ SY413 )
!= ( par @ SY414 @ SY415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(644,plain,
! [SV38: pi] :
( ( ! [SY416: pi,SY417: name,SY418: pi] :
( ( par @ SV38 @ SY416 )
!= ( res @ SY417 @ SY418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(645,plain,
! [SV39: late_freeRes] :
( ( ! [SY419: pi,SY420: late_freeRes,SY421: pi] :
( ( ( late_FreeR @ SV39 @ SY419 )
= ( late_FreeR @ SY420 @ SY421 ) )
= ( ~ ( ( SV39 != SY420 )
| ( SY419 != SY421 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(646,plain,
! [SV40: pi] :
( ( ! [SY422: late_residual,SY423: pi] :
( ~ ( late_transitions @ SV40 @ SY422 )
| ( late_transitions @ ( sum @ SV40 @ SY423 ) @ SY422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(647,plain,
! [SV41: name] :
( ( ! [SY424: pi,SY425: pi,SY426: pi] :
( ~ ( fresh_name_pi @ SV41 @ SY424 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ SV41 @ ( par @ SY425 @ SY426 ) ) @ SY424 ) @ ( res @ SV41 @ ( par @ SY425 @ ( par @ SY426 @ SY424 ) ) ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(648,plain,
! [SV42: name] :
( ( ! [SY427: pi,SY428: name,SY429: name] :
( ~ ( fresh_name_pi @ SV42 @ SY427 )
| ~ ( ( SV42 != SY428 ) )
| ( fresh_name_pi @ SV42 @ ( subs @ SY427 @ SY429 @ SY428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(649,plain,
! [SV43: pi] :
( ( ! [SY430: late_residual,SY431: pi] :
( ~ ( late_transitions @ SV43 @ SY430 )
| ( late_transitions @ ( sum @ SY431 @ SV43 ) @ SY430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(650,plain,
! [SV44: name] :
( ( ! [SY432: name,SY433: pi,SY434: pi,SY435: pi] :
( ( input @ SV44 @ SY432 @ SY433 )
!= ( par @ SY434 @ SY435 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(651,plain,
! [SV45: pi] :
( ( ! [SY436: pi,SY437: late_residual] :
( ~ ( late_transitions @ ( sum @ SV45 @ SY436 ) @ SY437 )
| ~ ~ ( late_transitions @ SV45 @ SY437 )
| ( late_transitions @ SY436 @ SY437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(652,plain,
! [SV46: name] :
( ( ! [SY438: name,SY439: pi,SY440: pi,SY441: pi] :
( ( output @ SV46 @ SY438 @ SY439 )
!= ( par @ SY440 @ SY441 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(653,plain,
! [SV47: pi] :
( ( ! [SY442: pi] :
( piNil
!= ( par @ SV47 @ SY442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(654,plain,
! [SV48: name] :
( ( ! [SY443: pi] :
( piNil
!= ( res @ SV48 @ SY443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(655,plain,
! [SV49: pi] :
( ( ! [SY444: set_Pr1834926343_pi_pi,SY445: pi,SY446: late_freeRes,SY447: pi] :
( ~ ( strong743114133lation @ SV49 @ SY444 @ SY445 )
| ~ ( late_transitions @ SY445 @ ( late_FreeR @ SY446 @ SY447 ) )
| ~ ! [SY448: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SY446 @ SY448 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY448 @ SY447 ) @ SY444 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(656,plain,
! [SV50: name] :
( ( ! [SY449: name,SY450: pi,SY451: late_residual,SY452: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV50 @ SY449 @ SY450 ) @ SY451 )
| ~ ( ~ ( late_transitions @ SY450 @ SY451 )
| ( SV50 != SY449 )
| ( SY452 @ SV50 @ SV50 ) )
| ( SY452 @ SV50 @ SY449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(657,plain,
! [SV51: pi] :
( ( ! [SY453: pi,SY454: pi,SY455: pi] :
( ( ( par @ SV51 @ SY453 )
= ( par @ SY454 @ SY455 ) )
= ( ~ ( ( SV51 != SY454 )
| ( SY453 != SY455 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(658,plain,
! [SV52: product_prod_pi_pi] :
( ( ~ ! [SY456: pi,SY457: pi] :
( SV52
!= ( product_Pair_pi_pi @ SY456 @ SY457 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(659,plain,
! [SV53: late_freeRes] :
( ( ~ ! [SY458: name,SY459: name] :
( SV53
!= ( late_OutputR @ SY458 @ SY459 ) )
| ( SV53 = late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(660,plain,
! [SV54: pi] :
( ( ! [SY460: name,SY461: pi] :
( ( tau @ SV54 )
!= ( res @ SY460 @ SY461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(661,plain,
! [SV55: pi] :
( ( ! [SY462: pi,SY463: pi,SY464: pi] :
( ( ( product_Pair_pi_pi @ SV55 @ SY462 )
= ( product_Pair_pi_pi @ SY463 @ SY464 ) )
= ( ~ ( ( SV55 != SY463 )
| ( SY462 != SY464 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(662,plain,
! [SV56: name] :
( ( ! [SY465: name] :
( ( late_OutputR @ SV56 @ SY465 )
!= late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(663,plain,
! [SV57: name] :
( ( ! [SY466: name,SY467: pi,SY468: late_residual] :
( ~ ( late_transitions @ ( match @ SV57 @ SY466 @ SY467 ) @ SY468 )
| ~ ! [SY469: pi] :
( ~ ~ ( ( SY466 != SV57 )
| ( SY467 != SY469 ) )
| ~ ( late_transitions @ SY469 @ SY468 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(664,plain,
( ( y = a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(665,plain,
! [SV58: name] :
( ( ! [SY470: name,SY471: name,SY472: pi] :
( ~ ( ( SV58 != SY470 ) )
| ~ ( ( SV58 != SY471 ) )
| ( ( subs @ ( res @ SV58 @ SY472 ) @ SY470 @ SY471 )
= ( res @ SV58 @ ( subs @ SY472 @ SY470 @ SY471 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(666,plain,
! [SV59: pi] :
( ( ! [SY473: pi,SY474: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV59 @ SY473 ) @ rel )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY474 @ SV59 ) @ ( res @ SY474 @ SY473 ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(667,plain,
! [SV60: pi] :
( ( ! [SY475: pi,SY476: pi,SY477: pi] :
( ( ( product_Pair_pi_pi @ SV60 @ SY475 )
= ( product_Pair_pi_pi @ SY476 @ SY477 ) )
= ( ~ ( ( SV60 != SY476 )
| ( SY475 != SY477 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(668,plain,
! [SV61: name] :
( ( ! [SY478: pi,SY479: pi,SY480: pi] :
( ~ ( fresh_name_pi @ SV61 @ SY478 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV61 @ ( par @ ( par @ SY478 @ SY479 ) @ SY480 ) ) @ ( par @ SY478 @ ( res @ SV61 @ ( par @ SY479 @ SY480 ) ) ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(669,plain,
! [SV62: name] :
( ( ! [SY481: name,SY482: pi,SY483: name,SY484: pi] :
( ( match @ SV62 @ SY481 @ SY482 )
!= ( res @ SY483 @ SY484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(670,plain,
( ( ~ ! [SX0: pi] :
~ ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SX0 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SX0 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(671,plain,
! [SV63: name] :
( ( ! [SY485: pi,SY486: name] :
( ~ ( fresh_name_pi @ SV63 @ SY485 )
| ( ( res @ SY486 @ SY485 )
= ( res @ SV63 @ ( subs @ SY485 @ SY486 @ SV63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(672,plain,
! [SV64: pi] :
( ( ! [SY487: late_freeRes,SY488: pi,SY489: name] :
( ~ ( late_transitions @ SV64 @ ( late_FreeR @ SY487 @ SY488 ) )
| ~ ( fresh_name_pi @ SY489 @ SV64 )
| ( fresh_name_pi @ SY489 @ SY488 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(673,plain,
! [SV65: name] :
( ( ! [SY490: name] :
( ( late_OutputR @ SV65 @ SY490 )
!= late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(674,plain,
! [SV66: pi] :
( ( ! [SY491: late_residual] :
( ~ ( late_transitions @ ( tau @ SV66 ) @ SY491 )
| ~ ! [SY492: pi] :
( ( ( tau @ SV66 )
!= ( tau @ SY492 ) )
| ( SY491
!= ( late_FreeR @ late_TauR @ SY492 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(675,plain,
! [SV67: pi] :
( ( ! [SY493: pi,SY494: pi] :
( ( tau @ SV67 )
!= ( par @ SY493 @ SY494 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(676,plain,
! [SV68: name] :
( ( ! [SY495: name,SY496: pi] :
( ~ ( ( SV68 != SY495 ) )
| ( fresh_name_pi @ SV68 @ ( subs @ SY496 @ SV68 @ SY495 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(677,plain,
! [SV69: product_prod_pi_pi > $o] :
( ( ! [SY497: product_prod_pi_pi] :
( ~ ! [SY498: pi,SY499: pi] : ( SV69 @ ( product_Pair_pi_pi @ SY498 @ SY499 ) )
| ( SV69 @ SY497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(678,plain,
! [SV70: pi] :
( ( ! [SY500: late_freeRes,SY501: pi,SY502: late_freeRes > pi > $o] :
( ~ ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SY500 @ SY501 ) )
| ~ ( ( SY500 != late_TauR )
| ( SV70 != SY501 )
| ( SY502 @ late_TauR @ SV70 ) )
| ( SY502 @ SY500 @ SY501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(679,plain,
! [SV71: late_subject] :
( ( ! [SY503: name,SY504: pi,SY505: late_freeRes,SY506: pi] :
( ( late_BoundR @ SV71 @ SY503 @ SY504 )
!= ( late_FreeR @ SY505 @ SY506 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(680,plain,
! [SV72: name] :
( ( ! [SY507: name,SY508: pi,SY509: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV72 @ SY507 @ SY508 ) @ SY509 )
| ~ ! [SY510: pi,SY511: name,SY512: name] :
( ~ ~ ( ~ ~ ( ( SV72 != SY511 )
| ( SY507 != SY512 ) )
| ( SY508 != SY510 ) )
| ~ ( late_transitions @ SY510 @ SY509 )
| ( SY511 = SY512 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(681,plain,
! [SV73: pi] :
( ( ! [SY513: late_freeRes,SY514: pi,SY515: pi] :
( ~ ( late_transitions @ SV73 @ ( late_FreeR @ SY513 @ SY514 ) )
| ( late_transitions @ ( par @ SV73 @ SY515 ) @ ( late_FreeR @ SY513 @ ( par @ SY514 @ SY515 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(682,plain,
! [SV74: pi] :
( ( ! [SY516: late_residual,SY517: name] :
( ~ ( late_transitions @ SV74 @ SY516 )
| ( late_transitions @ ( match @ SY517 @ SY517 @ SV74 ) @ SY516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(683,plain,
! [SV75: name] :
( ( ! [SY518: name,SY519: pi,SY520: name,SY521: pi] :
( ( input @ SV75 @ SY518 @ SY519 )
!= ( res @ SY520 @ SY521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(684,plain,
! [SV76: name] :
( ( ! [SY522: pi,SY523: name,SY524: name] :
( ~ ( fresh_name_pi @ SV76 @ SY522 )
| ( ( subs @ ( subs @ SY522 @ SY523 @ SV76 ) @ SV76 @ SY524 )
= ( subs @ SY522 @ SY523 @ SY524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(685,plain,
! [SV77: pi] :
( ( ! [SY525: late_residual,SY526: name,SY527: name] :
( ~ ( late_transitions @ SV77 @ SY525 )
| ~ ( ( SY526 != SY527 ) )
| ( late_transitions @ ( mismatch @ SY526 @ SY527 @ SV77 ) @ SY525 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(686,plain,
! [SV78: pi] :
( ( ! [SY528: pi,SY529: name,SY530: pi] :
( ( sum @ SV78 @ SY528 )
!= ( res @ SY529 @ SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(687,plain,
! [SV79: name] :
( ( ! [SY531: pi,SY532: pi] :
( ( res @ SV79 @ SY531 )
!= ( bang @ SY532 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(688,plain,
! [SV80: name] :
( ( ! [SY533: pi,SY534: late_freeRes,SY535: pi] :
( ~ ( late_transitions @ ( res @ SV80 @ SY533 ) @ ( late_FreeR @ SY534 @ SY535 ) )
| ~ ! [SY536: pi,SY537: late_freeRes,SY538: pi,SY539: name] :
( ( ( res @ SV80 @ SY533 )
!= ( res @ SY539 @ SY536 ) )
| ( ( late_FreeR @ SY534 @ SY535 )
!= ( late_FreeR @ SY537 @ ( res @ SY539 @ SY538 ) ) )
| ~ ( late_transitions @ SY536 @ ( late_FreeR @ SY537 @ SY538 ) )
| ~ ( fresh_1641682979reeRes @ SY539 @ SY537 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(689,plain,
! [SV81: late_freeRes > $o] :
( ( ! [SY540: late_freeRes] :
( ~ ! [SY541: name,SY542: name] : ( SV81 @ ( late_OutputR @ SY541 @ SY542 ) )
| ~ ( SV81 @ late_TauR )
| ( SV81 @ SY540 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(690,plain,
! [SV82: late_residual > $o] :
( ( ! [SY543: late_residual] :
( ~ ! [SY544: late_subject,SY545: name,SY546: pi] : ( SV82 @ ( late_BoundR @ SY544 @ SY545 @ SY546 ) )
| ~ ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) )
| ( SV82 @ SY543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(691,plain,
! [SV83: name] :
( ( ! [SY549: pi,SY550: pi] :
( ( fresh_name_pi @ SV83 @ ( par @ SY549 @ SY550 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV83 @ SY549 )
| ~ ( fresh_name_pi @ SV83 @ SY550 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(692,plain,
( ( x = y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(693,plain,
! [SV84: name] :
( ( ! [SY551: name,SY552: pi,SY553: pi,SY554: pi] :
( ( mismatch @ SV84 @ SY551 @ SY552 )
!= ( par @ SY553 @ SY554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(694,plain,
! [SV85: name] :
( ( ! [SY555: name,SY556: pi,SY557: name,SY558: pi] :
( ( output @ SV85 @ SY555 @ SY556 )
!= ( res @ SY557 @ SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(695,plain,
! [SV86: name] :
( ( ! [SY559: pi,SY560: name] :
( ~ ( fresh_name_pi @ SV86 @ SY559 )
| ( ( subs @ SY559 @ SV86 @ SY560 )
= SY559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(696,plain,
! [SV87: pi] :
( ( ! [SY561: late_freeRes,SY562: pi,SY563: name] :
( ~ ( late_transitions @ SV87 @ ( late_FreeR @ SY561 @ SY562 ) )
| ~ ( fresh_1641682979reeRes @ SY563 @ SY561 )
| ( late_transitions @ ( res @ SY563 @ SV87 ) @ ( late_FreeR @ SY561 @ ( res @ SY563 @ SY562 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(697,plain,
! [SV88: pi,SV1: pi] :
( ( ! [SY564: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( par @ SV1 @ SV88 ) @ SY564 ) @ ( par @ SV1 @ ( par @ SV88 @ SY564 ) ) ) @ rel ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(698,plain,
! [SV89: pi,SV2: pi] :
( ( ! [SY565: name,SY566: name] :
( ( subs @ ( par @ SV2 @ SV89 ) @ SY565 @ SY566 )
= ( par @ ( subs @ SV2 @ SY565 @ SY566 ) @ ( subs @ SV89 @ SY565 @ SY566 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(699,plain,
! [SV90: name,SV3: pi] :
( ( ( subs @ SV3 @ SV90 @ SV90 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(700,plain,
! [SV91: pi,SV4: name] :
( ( fresh_name_pi @ SV4 @ ( res @ SV4 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(701,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= ( SV92 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(702,plain,
! [SV93: name,SV7: name] :
( ( ! [SY567: name,SY568: pi,SY569: pi] :
~ ( late_transitions @ ( res @ SV7 @ ( output @ SV93 @ SY567 @ SY568 ) ) @ ( late_FreeR @ late_TauR @ SY569 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(703,plain,
! [SV94: name,SV9: name] :
( ( ! [SY570: pi,SY571: late_residual] :
~ ( late_transitions @ ( res @ SV9 @ ( output @ SV9 @ SV94 @ SY570 ) ) @ SY571 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(704,plain,
! [SV95: name,SV10: name] :
( ( ! [SY572: pi,SY573: pi] :
~ ( late_transitions @ ( output @ SV10 @ SV95 @ SY572 ) @ ( late_FreeR @ late_TauR @ SY573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(705,plain,
! [SV96: name,SV11: pi] :
( ( ! [SY574: name] :
( ( subs @ ( tau @ SV11 ) @ SV96 @ SY574 )
= ( tau @ ( subs @ SV11 @ SV96 @ SY574 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(706,plain,
! [SV97: name,SV12: name] :
( ( ! [SY575: pi,SY576: late_residual] :
~ ( late_transitions @ ( res @ SV12 @ ( input @ SV12 @ SV97 @ SY575 ) ) @ SY576 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(707,plain,
! [SV98: name,SV13: name] :
( ( ! [SY577: pi,SY578: late_freeRes,SY579: pi] :
~ ( late_transitions @ ( input @ SV13 @ SV98 @ SY577 ) @ ( late_FreeR @ SY578 @ SY579 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(708,plain,
! [SV99: name,SV14: name] :
( ( ! [SY580: name,SY581: pi,SY582: late_freeRes,SY583: pi] :
~ ( late_transitions @ ( res @ SV14 @ ( input @ SV99 @ SY580 @ SY581 ) ) @ ( late_FreeR @ SY582 @ SY583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(709,plain,
! [SV100: pi,SV16: name] :
( ( ! [SY584: name,SY585: pi] :
( ( ( res @ SV16 @ SV100 )
= ( res @ SY584 @ SY585 ) )
= ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SY584 @ SY585 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(710,plain,
! [SV101: name,SV17: name] :
( ( ( subs @ piNil @ SV17 @ SV101 )
= piNil )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(711,plain,
! [SV18: late_residual] :
( ( late_transitions @ piNil @ SV18 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(712,plain,
! [SV19: late_residual] :
( ( late_transitions @ piNil @ SV19 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(713,plain,
! [SV102: late_residual,SV20: name] :
( ( ~ ( late_transitions @ ( res @ SV20 @ piNil ) @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(714,plain,
! [SV103: pi,SV21: name] :
( ( ! [SY586: late_residual] :
~ ( late_transitions @ ( mismatch @ SV21 @ SV21 @ SV103 ) @ SY586 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(715,plain,
! [SV104: name,SV22: pi] :
( ( ! [SY587: name] :
( ( subs @ ( bang @ SV22 ) @ SV104 @ SY587 )
= ( bang @ ( subs @ SV22 @ SV104 @ SY587 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(716,plain,
! [SV105: pi,SV23: pi] :
( ( ! [SY588: name,SY589: name] :
( ( subs @ ( sum @ SV23 @ SV105 ) @ SY588 @ SY589 )
= ( sum @ ( subs @ SV23 @ SY588 @ SY589 ) @ ( subs @ SV105 @ SY588 @ SY589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(717,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(718,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(719,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(720,plain,
! [SV106: product_prod_pi_pi,SV25: product_prod_pi_pi > $o] :
( ( ~ ! [SY372: pi,SY373: pi] : ( SV25 @ ( product_Pair_pi_pi @ SY372 @ SY373 ) )
| ( SV25 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(721,plain,
! [SV107: pi,SV26: name] :
( ( ! [SY592: late_freeRes,SY593: pi,SY594: pi > $o] :
( ~ ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SY592 @ SY593 ) )
| ~ ! [SY595: pi] :
( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SY592 @ SY595 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SY592 )
| ( SY594 @ ( res @ SV26 @ SY595 ) ) )
| ( SY594 @ SY593 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(722,plain,
! [SV108: name,SV27: name] :
( ( ! [SY596: pi,SY597: late_residual] :
( ~ ( late_transitions @ ( match @ SV27 @ SV108 @ SY596 ) @ SY597 )
| ( SV27 = SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(723,plain,
! [SV109: pi,SV28: pi] :
( ( ! [SY598: late_residual] :
( ~ ( late_transitions @ ( sum @ SV28 @ SV109 ) @ SY598 )
| ~ ~ ( late_transitions @ SV28 @ SY598 )
| ( late_transitions @ SV109 @ SY598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(724,plain,
! [SV110: pi,SV29: name] :
( ( ! [SY599: name] :
( ~ ( fresh_name_pi @ SV29 @ SV110 )
| ( ( subs @ ( res @ SY599 @ SV110 ) @ SY599 @ SV29 )
= ( res @ SV29 @ ( subs @ SV110 @ SY599 @ SV29 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(725,plain,
! [SV111: pi,SV30: pi] :
( ( ! [SY600: pi,SY601: pi] :
( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
!= ( product_Pair_pi_pi @ SY600 @ SY601 ) )
| ~ ( ( SV30 != SY600 )
| ( SV111 != SY601 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(726,plain,
! [SV112: name,SV31: name] :
( ( ! [SY602: pi,SY603: late_residual,SY604: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SY602 ) @ SY603 )
| ~ ( ~ ( late_transitions @ SY602 @ SY603 )
| ~ ( ( SV31 != SV112 ) )
| ( SY604 @ SV31 @ SV112 ) )
| ( SY604 @ SV31 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(727,plain,
! [SV113: late_freeRes,SV32: pi] :
( ( ! [SY605: pi,SY606: pi] :
( ~ ( late_transitions @ SV32 @ ( late_FreeR @ SV113 @ SY605 ) )
| ( late_transitions @ ( par @ SY606 @ SV32 ) @ ( late_FreeR @ SV113 @ ( par @ SY606 @ SY605 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(728,plain,
! [SV114: name,SV33: name] :
( ( ! [SY607: pi,SY608: pi,SY609: pi] :
( ( match @ SV33 @ SV114 @ SY607 )
!= ( par @ SY608 @ SY609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(729,plain,
! [SV115: pi,SV34: set_Pr1834926343_pi_pi] :
( ( ! [SY610: pi] :
( ~ ! [SY402: pi,SY403: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ SY402 @ SY403 ) @ ( par @ SY403 @ SY402 ) ) @ SV34 )
| ~ ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) )
| ( strong743114133lation @ ( par @ SV115 @ SY610 ) @ SV34 @ ( par @ SY610 @ SV115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(730,plain,
! [SV35: product_prod_pi_pi] :
( ( ! [SY407: pi] :
~ ~ ! [SY408: pi] :
( SV35
!= ( product_Pair_pi_pi @ SY407 @ SY408 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(731,plain,
! [SV116: name,SV36: name] :
( ( ! [SY616: pi,SY617: name,SY618: pi] :
( ( mismatch @ SV36 @ SV116 @ SY616 )
!= ( res @ SY617 @ SY618 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(732,plain,
! [SV117: pi,SV37: pi] :
( ( ! [SY619: pi,SY620: pi] :
( ( sum @ SV37 @ SV117 )
!= ( par @ SY619 @ SY620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(733,plain,
! [SV118: pi,SV38: pi] :
( ( ! [SY621: name,SY622: pi] :
( ( par @ SV38 @ SV118 )
!= ( res @ SY621 @ SY622 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(734,plain,
! [SV119: pi,SV39: late_freeRes] :
( ( ! [SY623: late_freeRes,SY624: pi] :
( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SY623 @ SY624 ) )
= ( ~ ( ( SV39 != SY623 )
| ( SV119 != SY624 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(735,plain,
! [SV120: late_residual,SV40: pi] :
( ( ! [SY625: pi] :
( ~ ( late_transitions @ SV40 @ SV120 )
| ( late_transitions @ ( sum @ SV40 @ SY625 ) @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(736,plain,
! [SV121: pi,SV41: name] :
( ( ! [SY626: pi,SY627: pi] :
( ~ ( fresh_name_pi @ SV41 @ SV121 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ SV41 @ ( par @ SY626 @ SY627 ) ) @ SV121 ) @ ( res @ SV41 @ ( par @ SY626 @ ( par @ SY627 @ SV121 ) ) ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(737,plain,
! [SV122: pi,SV42: name] :
( ( ! [SY628: name,SY629: name] :
( ~ ( fresh_name_pi @ SV42 @ SV122 )
| ~ ( ( SV42 != SY628 ) )
| ( fresh_name_pi @ SV42 @ ( subs @ SV122 @ SY629 @ SY628 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(738,plain,
! [SV123: late_residual,SV43: pi] :
( ( ! [SY630: pi] :
( ~ ( late_transitions @ SV43 @ SV123 )
| ( late_transitions @ ( sum @ SY630 @ SV43 ) @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(739,plain,
! [SV124: name,SV44: name] :
( ( ! [SY631: pi,SY632: pi,SY633: pi] :
( ( input @ SV44 @ SV124 @ SY631 )
!= ( par @ SY632 @ SY633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(740,plain,
! [SV125: pi,SV45: pi] :
( ( ! [SY634: late_residual] :
( ~ ( late_transitions @ ( sum @ SV45 @ SV125 ) @ SY634 )
| ~ ~ ( late_transitions @ SV45 @ SY634 )
| ( late_transitions @ SV125 @ SY634 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(741,plain,
! [SV126: name,SV46: name] :
( ( ! [SY635: pi,SY636: pi,SY637: pi] :
( ( output @ SV46 @ SV126 @ SY635 )
!= ( par @ SY636 @ SY637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(742,plain,
! [SV127: pi,SV47: pi] :
( ( piNil
!= ( par @ SV47 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(743,plain,
! [SV128: pi,SV48: name] :
( ( piNil
!= ( res @ SV48 @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(744,plain,
! [SV129: set_Pr1834926343_pi_pi,SV49: pi] :
( ( ! [SY638: pi,SY639: late_freeRes,SY640: pi] :
( ~ ( strong743114133lation @ SV49 @ SV129 @ SY638 )
| ~ ( late_transitions @ SY638 @ ( late_FreeR @ SY639 @ SY640 ) )
| ~ ! [SY641: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SY639 @ SY641 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY641 @ SY640 ) @ SV129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(745,plain,
! [SV130: name,SV50: name] :
( ( ! [SY642: pi,SY643: late_residual,SY644: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV50 @ SV130 @ SY642 ) @ SY643 )
| ~ ( ~ ( late_transitions @ SY642 @ SY643 )
| ( SV50 != SV130 )
| ( SY644 @ SV50 @ SV50 ) )
| ( SY644 @ SV50 @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(746,plain,
! [SV131: pi,SV51: pi] :
( ( ! [SY645: pi,SY646: pi] :
( ( ( par @ SV51 @ SV131 )
= ( par @ SY645 @ SY646 ) )
= ( ~ ( ( SV51 != SY645 )
| ( SV131 != SY646 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(747,plain,
! [SV52: product_prod_pi_pi] :
( ( ! [SY456: pi,SY457: pi] :
( SV52
!= ( product_Pair_pi_pi @ SY456 @ SY457 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(748,plain,
! [SV53: late_freeRes] :
( ( ( ~ ! [SY458: name,SY459: name] :
( SV53
!= ( late_OutputR @ SY458 @ SY459 ) ) )
= $true )
| ( ( SV53 = late_TauR )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(749,plain,
! [SV132: name,SV54: pi] :
( ( ! [SY647: pi] :
( ( tau @ SV54 )
!= ( res @ SV132 @ SY647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(750,plain,
! [SV133: pi,SV55: pi] :
( ( ! [SY648: pi,SY649: pi] :
( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SY648 @ SY649 ) )
= ( ~ ( ( SV55 != SY648 )
| ( SV133 != SY649 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(751,plain,
! [SV134: name,SV56: name] :
( ( ( late_OutputR @ SV56 @ SV134 )
!= late_TauR )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(752,plain,
! [SV135: name,SV57: name] :
( ( ! [SY650: pi,SY651: late_residual] :
( ~ ( late_transitions @ ( match @ SV57 @ SV135 @ SY650 ) @ SY651 )
| ~ ! [SY652: pi] :
( ~ ~ ( ( SV135 != SV57 )
| ( SY650 != SY652 ) )
| ~ ( late_transitions @ SY652 @ SY651 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(753,plain,
! [SV136: name,SV58: name] :
( ( ! [SY653: name,SY654: pi] :
( ~ ( ( SV58 != SV136 ) )
| ~ ( ( SV58 != SY653 ) )
| ( ( subs @ ( res @ SV58 @ SY654 ) @ SV136 @ SY653 )
= ( res @ SV58 @ ( subs @ SY654 @ SV136 @ SY653 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(754,plain,
! [SV137: pi,SV59: pi] :
( ( ! [SY655: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV59 @ SV137 ) @ rel )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY655 @ SV59 ) @ ( res @ SY655 @ SV137 ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(755,plain,
! [SV138: pi,SV60: pi] :
( ( ! [SY656: pi,SY657: pi] :
( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SY656 @ SY657 ) )
= ( ~ ( ( SV60 != SY656 )
| ( SV138 != SY657 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(756,plain,
! [SV139: pi,SV61: name] :
( ( ! [SY658: pi,SY659: pi] :
( ~ ( fresh_name_pi @ SV61 @ SV139 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV61 @ ( par @ ( par @ SV139 @ SY658 ) @ SY659 ) ) @ ( par @ SV139 @ ( res @ SV61 @ ( par @ SY658 @ SY659 ) ) ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(757,plain,
! [SV140: name,SV62: name] :
( ( ! [SY660: pi,SY661: name,SY662: pi] :
( ( match @ SV62 @ SV140 @ SY660 )
!= ( res @ SY661 @ SY662 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(758,plain,
( ( ! [SX0: pi] :
~ ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SX0 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SX0 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(759,plain,
! [SV141: pi,SV63: name] :
( ( ! [SY663: name] :
( ~ ( fresh_name_pi @ SV63 @ SV141 )
| ( ( res @ SY663 @ SV141 )
= ( res @ SV63 @ ( subs @ SV141 @ SY663 @ SV63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(760,plain,
! [SV142: late_freeRes,SV64: pi] :
( ( ! [SY664: pi,SY665: name] :
( ~ ( late_transitions @ SV64 @ ( late_FreeR @ SV142 @ SY664 ) )
| ~ ( fresh_name_pi @ SY665 @ SV64 )
| ( fresh_name_pi @ SY665 @ SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(761,plain,
! [SV143: name,SV65: name] :
( ( ( late_OutputR @ SV65 @ SV143 )
!= late_TauR )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(762,plain,
! [SV144: late_residual,SV66: pi] :
( ( ~ ( late_transitions @ ( tau @ SV66 ) @ SV144 )
| ~ ! [SY666: pi] :
( ( ( tau @ SV66 )
!= ( tau @ SY666 ) )
| ( SV144
!= ( late_FreeR @ late_TauR @ SY666 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(763,plain,
! [SV145: pi,SV67: pi] :
( ( ! [SY667: pi] :
( ( tau @ SV67 )
!= ( par @ SV145 @ SY667 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(764,plain,
! [SV146: name,SV68: name] :
( ( ! [SY668: pi] :
( ~ ( ( SV68 != SV146 ) )
| ( fresh_name_pi @ SV68 @ ( subs @ SY668 @ SV68 @ SV146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(765,plain,
! [SV147: product_prod_pi_pi,SV69: product_prod_pi_pi > $o] :
( ( ~ ! [SY498: pi,SY499: pi] : ( SV69 @ ( product_Pair_pi_pi @ SY498 @ SY499 ) )
| ( SV69 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(766,plain,
! [SV148: late_freeRes,SV70: pi] :
( ( ! [SY671: pi,SY672: late_freeRes > pi > $o] :
( ~ ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SY671 ) )
| ~ ( ( SV148 != late_TauR )
| ( SV70 != SY671 )
| ( SY672 @ late_TauR @ SV70 ) )
| ( SY672 @ SV148 @ SY671 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(767,plain,
! [SV149: name,SV71: late_subject] :
( ( ! [SY673: pi,SY674: late_freeRes,SY675: pi] :
( ( late_BoundR @ SV71 @ SV149 @ SY673 )
!= ( late_FreeR @ SY674 @ SY675 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(768,plain,
! [SV150: name,SV72: name] :
( ( ! [SY676: pi,SY677: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SY676 ) @ SY677 )
| ~ ! [SY678: pi,SY679: name,SY680: name] :
( ~ ~ ( ~ ~ ( ( SV72 != SY679 )
| ( SV150 != SY680 ) )
| ( SY676 != SY678 ) )
| ~ ( late_transitions @ SY678 @ SY677 )
| ( SY679 = SY680 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(769,plain,
! [SV151: late_freeRes,SV73: pi] :
( ( ! [SY681: pi,SY682: pi] :
( ~ ( late_transitions @ SV73 @ ( late_FreeR @ SV151 @ SY681 ) )
| ( late_transitions @ ( par @ SV73 @ SY682 ) @ ( late_FreeR @ SV151 @ ( par @ SY681 @ SY682 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(770,plain,
! [SV152: late_residual,SV74: pi] :
( ( ! [SY683: name] :
( ~ ( late_transitions @ SV74 @ SV152 )
| ( late_transitions @ ( match @ SY683 @ SY683 @ SV74 ) @ SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(771,plain,
! [SV153: name,SV75: name] :
( ( ! [SY684: pi,SY685: name,SY686: pi] :
( ( input @ SV75 @ SV153 @ SY684 )
!= ( res @ SY685 @ SY686 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(772,plain,
! [SV154: pi,SV76: name] :
( ( ! [SY687: name,SY688: name] :
( ~ ( fresh_name_pi @ SV76 @ SV154 )
| ( ( subs @ ( subs @ SV154 @ SY687 @ SV76 ) @ SV76 @ SY688 )
= ( subs @ SV154 @ SY687 @ SY688 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(773,plain,
! [SV155: late_residual,SV77: pi] :
( ( ! [SY689: name,SY690: name] :
( ~ ( late_transitions @ SV77 @ SV155 )
| ~ ( ( SY689 != SY690 ) )
| ( late_transitions @ ( mismatch @ SY689 @ SY690 @ SV77 ) @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(774,plain,
! [SV156: pi,SV78: pi] :
( ( ! [SY691: name,SY692: pi] :
( ( sum @ SV78 @ SV156 )
!= ( res @ SY691 @ SY692 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(775,plain,
! [SV157: pi,SV79: name] :
( ( ! [SY693: pi] :
( ( res @ SV79 @ SV157 )
!= ( bang @ SY693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(776,plain,
! [SV158: pi,SV80: name] :
( ( ! [SY694: late_freeRes,SY695: pi] :
( ~ ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SY694 @ SY695 ) )
| ~ ! [SY696: pi,SY697: late_freeRes,SY698: pi,SY699: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY699 @ SY696 ) )
| ( ( late_FreeR @ SY694 @ SY695 )
!= ( late_FreeR @ SY697 @ ( res @ SY699 @ SY698 ) ) )
| ~ ( late_transitions @ SY696 @ ( late_FreeR @ SY697 @ SY698 ) )
| ~ ( fresh_1641682979reeRes @ SY699 @ SY697 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(777,plain,
! [SV159: late_freeRes,SV81: late_freeRes > $o] :
( ( ~ ! [SY541: name,SY542: name] : ( SV81 @ ( late_OutputR @ SY541 @ SY542 ) )
| ~ ( SV81 @ late_TauR )
| ( SV81 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(778,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ~ ! [SY544: late_subject,SY545: name,SY546: pi] : ( SV82 @ ( late_BoundR @ SY544 @ SY545 @ SY546 ) )
| ~ ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) )
| ( SV82 @ SV160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(779,plain,
! [SV161: pi,SV83: name] :
( ( ! [SY707: pi] :
( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SY707 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SY707 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(780,plain,
! [SV162: name,SV84: name] :
( ( ! [SY708: pi,SY709: pi,SY710: pi] :
( ( mismatch @ SV84 @ SV162 @ SY708 )
!= ( par @ SY709 @ SY710 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(781,plain,
! [SV163: name,SV85: name] :
( ( ! [SY711: pi,SY712: name,SY713: pi] :
( ( output @ SV85 @ SV163 @ SY711 )
!= ( res @ SY712 @ SY713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(782,plain,
! [SV164: pi,SV86: name] :
( ( ! [SY714: name] :
( ~ ( fresh_name_pi @ SV86 @ SV164 )
| ( ( subs @ SV164 @ SV86 @ SY714 )
= SV164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(783,plain,
! [SV165: late_freeRes,SV87: pi] :
( ( ! [SY715: pi,SY716: name] :
( ~ ( late_transitions @ SV87 @ ( late_FreeR @ SV165 @ SY715 ) )
| ~ ( fresh_1641682979reeRes @ SY716 @ SV165 )
| ( late_transitions @ ( res @ SY716 @ SV87 ) @ ( late_FreeR @ SV165 @ ( res @ SY716 @ SY715 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(784,plain,
! [SV166: pi,SV88: pi,SV1: pi] :
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( par @ SV1 @ SV88 ) @ SV166 ) @ ( par @ SV1 @ ( par @ SV88 @ SV166 ) ) ) @ rel )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(785,plain,
! [SV167: name,SV89: pi,SV2: pi] :
( ( ! [SY717: name] :
( ( subs @ ( par @ SV2 @ SV89 ) @ SV167 @ SY717 )
= ( par @ ( subs @ SV2 @ SV167 @ SY717 ) @ ( subs @ SV89 @ SV167 @ SY717 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(786,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ~ ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ( SV92 @ SV5 ) )
| ~ ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ~ ( SV92 @ SV5 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[701]) ).
thf(787,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= ( SV92 @ SV5 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[701]) ).
thf(788,plain,
! [SV168: name,SV93: name,SV7: name] :
( ( ! [SY718: pi,SY719: pi] :
~ ( late_transitions @ ( res @ SV7 @ ( output @ SV93 @ SV168 @ SY718 ) ) @ ( late_FreeR @ late_TauR @ SY719 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(789,plain,
! [SV169: pi,SV94: name,SV9: name] :
( ( ! [SY720: late_residual] :
~ ( late_transitions @ ( res @ SV9 @ ( output @ SV9 @ SV94 @ SV169 ) ) @ SY720 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(790,plain,
! [SV170: pi,SV95: name,SV10: name] :
( ( ! [SY721: pi] :
~ ( late_transitions @ ( output @ SV10 @ SV95 @ SV170 ) @ ( late_FreeR @ late_TauR @ SY721 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(791,plain,
! [SV171: name,SV96: name,SV11: pi] :
( ( ( subs @ ( tau @ SV11 ) @ SV96 @ SV171 )
= ( tau @ ( subs @ SV11 @ SV96 @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(792,plain,
! [SV172: pi,SV97: name,SV12: name] :
( ( ! [SY722: late_residual] :
~ ( late_transitions @ ( res @ SV12 @ ( input @ SV12 @ SV97 @ SV172 ) ) @ SY722 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(793,plain,
! [SV173: pi,SV98: name,SV13: name] :
( ( ! [SY723: late_freeRes,SY724: pi] :
~ ( late_transitions @ ( input @ SV13 @ SV98 @ SV173 ) @ ( late_FreeR @ SY723 @ SY724 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(794,plain,
! [SV174: name,SV99: name,SV14: name] :
( ( ! [SY725: pi,SY726: late_freeRes,SY727: pi] :
~ ( late_transitions @ ( res @ SV14 @ ( input @ SV99 @ SV174 @ SY725 ) ) @ ( late_FreeR @ SY726 @ SY727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(795,plain,
! [SV175: name,SV100: pi,SV16: name] :
( ( ! [SY728: pi] :
( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SY728 ) )
= ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SY728 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(796,plain,
! [SV102: late_residual,SV20: name] :
( ( late_transitions @ ( res @ SV20 @ piNil ) @ SV102 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(797,plain,
! [SV176: late_residual,SV103: pi,SV21: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV21 @ SV21 @ SV103 ) @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(798,plain,
! [SV177: name,SV104: name,SV22: pi] :
( ( ( subs @ ( bang @ SV22 ) @ SV104 @ SV177 )
= ( bang @ ( subs @ SV22 @ SV104 @ SV177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(799,plain,
! [SV178: name,SV105: pi,SV23: pi] :
( ( ! [SY729: name] :
( ( subs @ ( sum @ SV23 @ SV105 ) @ SV178 @ SY729 )
= ( sum @ ( subs @ SV23 @ SV178 @ SY729 ) @ ( subs @ SV105 @ SV178 @ SY729 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(800,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $true )
| ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[717]) ).
thf(801,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[717]) ).
thf(802,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[718]) ).
thf(803,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[718]) ).
thf(804,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[719]) ).
thf(805,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[719]) ).
thf(806,plain,
! [SV106: product_prod_pi_pi,SV25: product_prod_pi_pi > $o] :
( ( ( ~ ! [SY372: pi,SY373: pi] : ( SV25 @ ( product_Pair_pi_pi @ SY372 @ SY373 ) ) )
= $true )
| ( ( SV25 @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(807,plain,
! [SV179: late_freeRes,SV107: pi,SV26: name] :
( ( ! [SY730: pi,SY731: pi > $o] :
( ~ ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SY730 ) )
| ~ ! [SY732: pi] :
( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ SY732 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SY731 @ ( res @ SV26 @ SY732 ) ) )
| ( SY731 @ SY730 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(808,plain,
! [SV180: pi,SV108: name,SV27: name] :
( ( ! [SY733: late_residual] :
( ~ ( late_transitions @ ( match @ SV27 @ SV108 @ SV180 ) @ SY733 )
| ( SV27 = SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(809,plain,
! [SV181: late_residual,SV109: pi,SV28: pi] :
( ( ~ ( late_transitions @ ( sum @ SV28 @ SV109 ) @ SV181 )
| ~ ~ ( late_transitions @ SV28 @ SV181 )
| ( late_transitions @ SV109 @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(810,plain,
! [SV182: name,SV110: pi,SV29: name] :
( ( ~ ( fresh_name_pi @ SV29 @ SV110 )
| ( ( subs @ ( res @ SV182 @ SV110 ) @ SV182 @ SV29 )
= ( res @ SV29 @ ( subs @ SV110 @ SV182 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(811,plain,
! [SV183: pi,SV111: pi,SV30: pi] :
( ( ! [SY734: pi] :
( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
!= ( product_Pair_pi_pi @ SV183 @ SY734 ) )
| ~ ( ( SV30 != SV183 )
| ( SV111 != SY734 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(812,plain,
! [SV184: pi,SV112: name,SV31: name] :
( ( ! [SY735: late_residual,SY736: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SY735 )
| ~ ( ~ ( late_transitions @ SV184 @ SY735 )
| ~ ( ( SV31 != SV112 ) )
| ( SY736 @ SV31 @ SV112 ) )
| ( SY736 @ SV31 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(813,plain,
! [SV185: pi,SV113: late_freeRes,SV32: pi] :
( ( ! [SY737: pi] :
( ~ ( late_transitions @ SV32 @ ( late_FreeR @ SV113 @ SV185 ) )
| ( late_transitions @ ( par @ SY737 @ SV32 ) @ ( late_FreeR @ SV113 @ ( par @ SY737 @ SV185 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(814,plain,
! [SV186: pi,SV114: name,SV33: name] :
( ( ! [SY738: pi,SY739: pi] :
( ( match @ SV33 @ SV114 @ SV186 )
!= ( par @ SY738 @ SY739 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(815,plain,
! [SV187: pi,SV115: pi,SV34: set_Pr1834926343_pi_pi] :
( ( ~ ! [SY402: pi,SY403: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ SY402 @ SY403 ) @ ( par @ SY403 @ SY402 ) ) @ SV34 )
| ~ ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) )
| ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(816,plain,
! [SV35: product_prod_pi_pi] :
( ( ~ ~ ! [SY745: pi] :
( SV35
!= ( product_Pair_pi_pi @ ( sK1_SY407 @ SV35 ) @ SY745 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[730]) ).
thf(817,plain,
! [SV188: pi,SV116: name,SV36: name] :
( ( ! [SY746: name,SY747: pi] :
( ( mismatch @ SV36 @ SV116 @ SV188 )
!= ( res @ SY746 @ SY747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(818,plain,
! [SV189: pi,SV117: pi,SV37: pi] :
( ( ! [SY748: pi] :
( ( sum @ SV37 @ SV117 )
!= ( par @ SV189 @ SY748 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(819,plain,
! [SV190: name,SV118: pi,SV38: pi] :
( ( ! [SY749: pi] :
( ( par @ SV38 @ SV118 )
!= ( res @ SV190 @ SY749 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(820,plain,
! [SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ! [SY750: pi] :
( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SY750 ) )
= ( ~ ( ( SV39 != SV191 )
| ( SV119 != SY750 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(821,plain,
! [SV192: pi,SV120: late_residual,SV40: pi] :
( ( ~ ( late_transitions @ SV40 @ SV120 )
| ( late_transitions @ ( sum @ SV40 @ SV192 ) @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(822,plain,
! [SV193: pi,SV121: pi,SV41: name] :
( ( ! [SY751: pi] :
( ~ ( fresh_name_pi @ SV41 @ SV121 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ SV41 @ ( par @ SV193 @ SY751 ) ) @ SV121 ) @ ( res @ SV41 @ ( par @ SV193 @ ( par @ SY751 @ SV121 ) ) ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(823,plain,
! [SV194: name,SV122: pi,SV42: name] :
( ( ! [SY752: name] :
( ~ ( fresh_name_pi @ SV42 @ SV122 )
| ~ ( ( SV42 != SV194 ) )
| ( fresh_name_pi @ SV42 @ ( subs @ SV122 @ SY752 @ SV194 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(824,plain,
! [SV195: pi,SV123: late_residual,SV43: pi] :
( ( ~ ( late_transitions @ SV43 @ SV123 )
| ( late_transitions @ ( sum @ SV195 @ SV43 ) @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(825,plain,
! [SV196: pi,SV124: name,SV44: name] :
( ( ! [SY753: pi,SY754: pi] :
( ( input @ SV44 @ SV124 @ SV196 )
!= ( par @ SY753 @ SY754 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(826,plain,
! [SV197: late_residual,SV125: pi,SV45: pi] :
( ( ~ ( late_transitions @ ( sum @ SV45 @ SV125 ) @ SV197 )
| ~ ~ ( late_transitions @ SV45 @ SV197 )
| ( late_transitions @ SV125 @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(827,plain,
! [SV198: pi,SV126: name,SV46: name] :
( ( ! [SY755: pi,SY756: pi] :
( ( output @ SV46 @ SV126 @ SV198 )
!= ( par @ SY755 @ SY756 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(828,plain,
! [SV127: pi,SV47: pi] :
( ( piNil
= ( par @ SV47 @ SV127 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(829,plain,
! [SV128: pi,SV48: name] :
( ( piNil
= ( res @ SV48 @ SV128 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(830,plain,
! [SV199: pi,SV129: set_Pr1834926343_pi_pi,SV49: pi] :
( ( ! [SY757: late_freeRes,SY758: pi] :
( ~ ( strong743114133lation @ SV49 @ SV129 @ SV199 )
| ~ ( late_transitions @ SV199 @ ( late_FreeR @ SY757 @ SY758 ) )
| ~ ! [SY641: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SY757 @ SY641 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY641 @ SY758 ) @ SV129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(831,plain,
! [SV200: pi,SV130: name,SV50: name] :
( ( ! [SY760: late_residual,SY761: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SY760 )
| ~ ( ~ ( late_transitions @ SV200 @ SY760 )
| ( SV50 != SV130 )
| ( SY761 @ SV50 @ SV50 ) )
| ( SY761 @ SV50 @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(832,plain,
! [SV201: pi,SV131: pi,SV51: pi] :
( ( ! [SY762: pi] :
( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SY762 ) )
= ( ~ ( ( SV51 != SV201 )
| ( SV131 != SY762 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(833,plain,
! [SV52: product_prod_pi_pi] :
( ( ! [SY763: pi] :
( SV52
!= ( product_Pair_pi_pi @ ( sK2_SY456 @ SV52 ) @ SY763 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[747]) ).
thf(834,plain,
! [SV53: late_freeRes] :
( ( ( ! [SY458: name,SY459: name] :
( SV53
!= ( late_OutputR @ SY458 @ SY459 ) ) )
= $false )
| ( ( SV53 = late_TauR )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(835,plain,
! [SV202: pi,SV132: name,SV54: pi] :
( ( ( tau @ SV54 )
!= ( res @ SV132 @ SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(836,plain,
! [SV203: pi,SV133: pi,SV55: pi] :
( ( ! [SY764: pi] :
( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SY764 ) )
= ( ~ ( ( SV55 != SV203 )
| ( SV133 != SY764 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(837,plain,
! [SV134: name,SV56: name] :
( ( ( late_OutputR @ SV56 @ SV134 )
= late_TauR )
= $false ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(838,plain,
! [SV204: pi,SV135: name,SV57: name] :
( ( ! [SY765: late_residual] :
( ~ ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SY765 )
| ~ ! [SY766: pi] :
( ~ ~ ( ( SV135 != SV57 )
| ( SV204 != SY766 ) )
| ~ ( late_transitions @ SY766 @ SY765 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(839,plain,
! [SV205: name,SV136: name,SV58: name] :
( ( ! [SY767: pi] :
( ~ ( ( SV58 != SV136 ) )
| ~ ( ( SV58 != SV205 ) )
| ( ( subs @ ( res @ SV58 @ SY767 ) @ SV136 @ SV205 )
= ( res @ SV58 @ ( subs @ SY767 @ SV136 @ SV205 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(840,plain,
! [SV206: name,SV137: pi,SV59: pi] :
( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV59 @ SV137 ) @ rel )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV206 @ SV59 ) @ ( res @ SV206 @ SV137 ) ) @ rel ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(841,plain,
! [SV207: pi,SV138: pi,SV60: pi] :
( ( ! [SY768: pi] :
( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SY768 ) )
= ( ~ ( ( SV60 != SV207 )
| ( SV138 != SY768 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(842,plain,
! [SV208: pi,SV139: pi,SV61: name] :
( ( ! [SY769: pi] :
( ~ ( fresh_name_pi @ SV61 @ SV139 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV61 @ ( par @ ( par @ SV139 @ SV208 ) @ SY769 ) ) @ ( par @ SV139 @ ( res @ SV61 @ ( par @ SV208 @ SY769 ) ) ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(843,plain,
! [SV209: pi,SV140: name,SV62: name] :
( ( ! [SY770: name,SY771: pi] :
( ( match @ SV62 @ SV140 @ SV209 )
!= ( res @ SY770 @ SY771 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(844,plain,
! [SV210: pi] :
( ( ~ ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SV210 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV210 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(845,plain,
! [SV211: name,SV141: pi,SV63: name] :
( ( ~ ( fresh_name_pi @ SV63 @ SV141 )
| ( ( res @ SV211 @ SV141 )
= ( res @ SV63 @ ( subs @ SV141 @ SV211 @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(846,plain,
! [SV212: pi,SV142: late_freeRes,SV64: pi] :
( ( ! [SY772: name] :
( ~ ( late_transitions @ SV64 @ ( late_FreeR @ SV142 @ SV212 ) )
| ~ ( fresh_name_pi @ SY772 @ SV64 )
| ( fresh_name_pi @ SY772 @ SV212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(847,plain,
! [SV143: name,SV65: name] :
( ( ( late_OutputR @ SV65 @ SV143 )
= late_TauR )
= $false ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(848,plain,
! [SV144: late_residual,SV66: pi] :
( ( ( ~ ( late_transitions @ ( tau @ SV66 ) @ SV144 ) )
= $true )
| ( ( ~ ! [SY666: pi] :
( ( ( tau @ SV66 )
!= ( tau @ SY666 ) )
| ( SV144
!= ( late_FreeR @ late_TauR @ SY666 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(849,plain,
! [SV213: pi,SV145: pi,SV67: pi] :
( ( ( tau @ SV67 )
!= ( par @ SV145 @ SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(850,plain,
! [SV214: pi,SV146: name,SV68: name] :
( ( ~ ( ( SV68 != SV146 ) )
| ( fresh_name_pi @ SV68 @ ( subs @ SV214 @ SV68 @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(851,plain,
! [SV147: product_prod_pi_pi,SV69: product_prod_pi_pi > $o] :
( ( ( ~ ! [SY498: pi,SY499: pi] : ( SV69 @ ( product_Pair_pi_pi @ SY498 @ SY499 ) ) )
= $true )
| ( ( SV69 @ SV147 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(852,plain,
! [SV215: pi,SV148: late_freeRes,SV70: pi] :
( ( ! [SY773: late_freeRes > pi > $o] :
( ~ ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
| ~ ( ( SV148 != late_TauR )
| ( SV70 != SV215 )
| ( SY773 @ late_TauR @ SV70 ) )
| ( SY773 @ SV148 @ SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(853,plain,
! [SV216: pi,SV149: name,SV71: late_subject] :
( ( ! [SY774: late_freeRes,SY775: pi] :
( ( late_BoundR @ SV71 @ SV149 @ SV216 )
!= ( late_FreeR @ SY774 @ SY775 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(854,plain,
! [SV217: pi,SV150: name,SV72: name] :
( ( ! [SY776: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SY776 )
| ~ ! [SY777: pi,SY778: name,SY779: name] :
( ~ ~ ( ~ ~ ( ( SV72 != SY778 )
| ( SV150 != SY779 ) )
| ( SV217 != SY777 ) )
| ~ ( late_transitions @ SY777 @ SY776 )
| ( SY778 = SY779 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(855,plain,
! [SV218: pi,SV151: late_freeRes,SV73: pi] :
( ( ! [SY780: pi] :
( ~ ( late_transitions @ SV73 @ ( late_FreeR @ SV151 @ SV218 ) )
| ( late_transitions @ ( par @ SV73 @ SY780 ) @ ( late_FreeR @ SV151 @ ( par @ SV218 @ SY780 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(856,plain,
! [SV219: name,SV152: late_residual,SV74: pi] :
( ( ~ ( late_transitions @ SV74 @ SV152 )
| ( late_transitions @ ( match @ SV219 @ SV219 @ SV74 ) @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(857,plain,
! [SV220: pi,SV153: name,SV75: name] :
( ( ! [SY781: name,SY782: pi] :
( ( input @ SV75 @ SV153 @ SV220 )
!= ( res @ SY781 @ SY782 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(858,plain,
! [SV221: name,SV154: pi,SV76: name] :
( ( ! [SY783: name] :
( ~ ( fresh_name_pi @ SV76 @ SV154 )
| ( ( subs @ ( subs @ SV154 @ SV221 @ SV76 ) @ SV76 @ SY783 )
= ( subs @ SV154 @ SV221 @ SY783 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(859,plain,
! [SV222: name,SV155: late_residual,SV77: pi] :
( ( ! [SY784: name] :
( ~ ( late_transitions @ SV77 @ SV155 )
| ~ ( ( SV222 != SY784 ) )
| ( late_transitions @ ( mismatch @ SV222 @ SY784 @ SV77 ) @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(860,plain,
! [SV223: name,SV156: pi,SV78: pi] :
( ( ! [SY785: pi] :
( ( sum @ SV78 @ SV156 )
!= ( res @ SV223 @ SY785 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(861,plain,
! [SV224: pi,SV157: pi,SV79: name] :
( ( ( res @ SV79 @ SV157 )
!= ( bang @ SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(862,plain,
! [SV225: late_freeRes,SV158: pi,SV80: name] :
( ( ! [SY786: pi] :
( ~ ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SY786 ) )
| ~ ! [SY787: pi,SY788: late_freeRes,SY789: pi,SY790: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY790 @ SY787 ) )
| ( ( late_FreeR @ SV225 @ SY786 )
!= ( late_FreeR @ SY788 @ ( res @ SY790 @ SY789 ) ) )
| ~ ( late_transitions @ SY787 @ ( late_FreeR @ SY788 @ SY789 ) )
| ~ ( fresh_1641682979reeRes @ SY790 @ SY788 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(863,plain,
! [SV159: late_freeRes,SV81: late_freeRes > $o] :
( ( ( ~ ! [SY541: name,SY542: name] : ( SV81 @ ( late_OutputR @ SY541 @ SY542 ) ) )
= $true )
| ( ( ~ ( SV81 @ late_TauR )
| ( SV81 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(864,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( ~ ! [SY544: late_subject,SY545: name,SY546: pi] : ( SV82 @ ( late_BoundR @ SY544 @ SY545 @ SY546 ) ) )
= $true )
| ( ( ~ ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) )
| ( SV82 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(865,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(866,plain,
! [SV227: pi,SV162: name,SV84: name] :
( ( ! [SY791: pi,SY792: pi] :
( ( mismatch @ SV84 @ SV162 @ SV227 )
!= ( par @ SY791 @ SY792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(867,plain,
! [SV228: pi,SV163: name,SV85: name] :
( ( ! [SY793: name,SY794: pi] :
( ( output @ SV85 @ SV163 @ SV228 )
!= ( res @ SY793 @ SY794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(868,plain,
! [SV229: name,SV164: pi,SV86: name] :
( ( ~ ( fresh_name_pi @ SV86 @ SV164 )
| ( ( subs @ SV164 @ SV86 @ SV229 )
= SV164 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(869,plain,
! [SV230: pi,SV165: late_freeRes,SV87: pi] :
( ( ! [SY795: name] :
( ~ ( late_transitions @ SV87 @ ( late_FreeR @ SV165 @ SV230 ) )
| ~ ( fresh_1641682979reeRes @ SY795 @ SV165 )
| ( late_transitions @ ( res @ SY795 @ SV87 ) @ ( late_FreeR @ SV165 @ ( res @ SY795 @ SV230 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(870,plain,
! [SV231: name,SV167: name,SV89: pi,SV2: pi] :
( ( ( subs @ ( par @ SV2 @ SV89 ) @ SV167 @ SV231 )
= ( par @ ( subs @ SV2 @ SV167 @ SV231 ) @ ( subs @ SV89 @ SV167 @ SV231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(871,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( ~ ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ( SV92 @ SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ~ ( SV92 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(872,plain,
! [SV232: pi,SV168: name,SV93: name,SV7: name] :
( ( ! [SY796: pi] :
~ ( late_transitions @ ( res @ SV7 @ ( output @ SV93 @ SV168 @ SV232 ) ) @ ( late_FreeR @ late_TauR @ SY796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(873,plain,
! [SV233: late_residual,SV169: pi,SV94: name,SV9: name] :
( ( ~ ( late_transitions @ ( res @ SV9 @ ( output @ SV9 @ SV94 @ SV169 ) ) @ SV233 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(874,plain,
! [SV234: pi,SV170: pi,SV95: name,SV10: name] :
( ( ~ ( late_transitions @ ( output @ SV10 @ SV95 @ SV170 ) @ ( late_FreeR @ late_TauR @ SV234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(875,plain,
! [SV235: late_residual,SV172: pi,SV97: name,SV12: name] :
( ( ~ ( late_transitions @ ( res @ SV12 @ ( input @ SV12 @ SV97 @ SV172 ) ) @ SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(876,plain,
! [SV236: late_freeRes,SV173: pi,SV98: name,SV13: name] :
( ( ! [SY797: pi] :
~ ( late_transitions @ ( input @ SV13 @ SV98 @ SV173 ) @ ( late_FreeR @ SV236 @ SY797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(877,plain,
! [SV237: pi,SV174: name,SV99: name,SV14: name] :
( ( ! [SY798: late_freeRes,SY799: pi] :
~ ( late_transitions @ ( res @ SV14 @ ( input @ SV99 @ SV174 @ SV237 ) ) @ ( late_FreeR @ SY798 @ SY799 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(878,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(879,plain,
! [SV176: late_residual,SV103: pi,SV21: name] :
( ( late_transitions @ ( mismatch @ SV21 @ SV21 @ SV103 ) @ SV176 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(880,plain,
! [SV239: name,SV178: name,SV105: pi,SV23: pi] :
( ( ( subs @ ( sum @ SV23 @ SV105 ) @ SV178 @ SV239 )
= ( sum @ ( subs @ SV23 @ SV178 @ SV239 ) @ ( subs @ SV105 @ SV178 @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(881,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $true ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(882,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(883,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(884,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(885,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(886,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(887,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(888,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[805]) ).
thf(889,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[805]) ).
thf(890,plain,
! [SV106: product_prod_pi_pi,SV25: product_prod_pi_pi > $o] :
( ( ( ! [SY372: pi,SY373: pi] : ( SV25 @ ( product_Pair_pi_pi @ SY372 @ SY373 ) ) )
= $false )
| ( ( SV25 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(891,plain,
! [SV240: pi,SV179: late_freeRes,SV107: pi,SV26: name] :
( ( ! [SY800: pi > $o] :
( ~ ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
| ~ ! [SY732: pi] :
( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ SY732 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SY800 @ ( res @ SV26 @ SY732 ) ) )
| ( SY800 @ SV240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(892,plain,
! [SV241: late_residual,SV180: pi,SV108: name,SV27: name] :
( ( ~ ( late_transitions @ ( match @ SV27 @ SV108 @ SV180 ) @ SV241 )
| ( SV27 = SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(893,plain,
! [SV181: late_residual,SV109: pi,SV28: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV28 @ SV109 ) @ SV181 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV28 @ SV181 )
| ( late_transitions @ SV109 @ SV181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(894,plain,
! [SV182: name,SV110: pi,SV29: name] :
( ( ( ~ ( fresh_name_pi @ SV29 @ SV110 ) )
= $true )
| ( ( ( subs @ ( res @ SV182 @ SV110 ) @ SV182 @ SV29 )
= ( res @ SV29 @ ( subs @ SV110 @ SV182 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(895,plain,
! [SV242: pi,SV183: pi,SV111: pi,SV30: pi] :
( ( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
!= ( product_Pair_pi_pi @ SV183 @ SV242 ) )
| ~ ( ( SV30 != SV183 )
| ( SV111 != SV242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(896,plain,
! [SV243: late_residual,SV184: pi,SV112: name,SV31: name] :
( ( ! [SY802: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
| ~ ( ~ ( late_transitions @ SV184 @ SV243 )
| ~ ( ( SV31 != SV112 ) )
| ( SY802 @ SV31 @ SV112 ) )
| ( SY802 @ SV31 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(897,plain,
! [SV244: pi,SV185: pi,SV113: late_freeRes,SV32: pi] :
( ( ~ ( late_transitions @ SV32 @ ( late_FreeR @ SV113 @ SV185 ) )
| ( late_transitions @ ( par @ SV244 @ SV32 ) @ ( late_FreeR @ SV113 @ ( par @ SV244 @ SV185 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(898,plain,
! [SV245: pi,SV186: pi,SV114: name,SV33: name] :
( ( ! [SY803: pi] :
( ( match @ SV33 @ SV114 @ SV186 )
!= ( par @ SV245 @ SY803 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(899,plain,
! [SV187: pi,SV115: pi,SV34: set_Pr1834926343_pi_pi] :
( ( ( ~ ! [SY402: pi,SY403: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ SY402 @ SY403 ) @ ( par @ SY403 @ SY402 ) ) @ SV34 ) )
= $true )
| ( ( ~ ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) )
| ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(900,plain,
! [SV35: product_prod_pi_pi] :
( ( ~ ! [SY745: pi] :
( SV35
!= ( product_Pair_pi_pi @ ( sK1_SY407 @ SV35 ) @ SY745 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(901,plain,
! [SV246: name,SV188: pi,SV116: name,SV36: name] :
( ( ! [SY804: pi] :
( ( mismatch @ SV36 @ SV116 @ SV188 )
!= ( res @ SV246 @ SY804 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(902,plain,
! [SV247: pi,SV189: pi,SV117: pi,SV37: pi] :
( ( ( sum @ SV37 @ SV117 )
!= ( par @ SV189 @ SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(903,plain,
! [SV248: pi,SV190: name,SV118: pi,SV38: pi] :
( ( ( par @ SV38 @ SV118 )
!= ( res @ SV190 @ SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(904,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= ( ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(905,plain,
! [SV192: pi,SV120: late_residual,SV40: pi] :
( ( ( ~ ( late_transitions @ SV40 @ SV120 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV40 @ SV192 ) @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(906,plain,
! [SV250: pi,SV193: pi,SV121: pi,SV41: name] :
( ( ~ ( fresh_name_pi @ SV41 @ SV121 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ SV41 @ ( par @ SV193 @ SV250 ) ) @ SV121 ) @ ( res @ SV41 @ ( par @ SV193 @ ( par @ SV250 @ SV121 ) ) ) ) @ rel ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(907,plain,
! [SV251: name,SV194: name,SV122: pi,SV42: name] :
( ( ~ ( fresh_name_pi @ SV42 @ SV122 )
| ~ ( ( SV42 != SV194 ) )
| ( fresh_name_pi @ SV42 @ ( subs @ SV122 @ SV251 @ SV194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(908,plain,
! [SV195: pi,SV123: late_residual,SV43: pi] :
( ( ( ~ ( late_transitions @ SV43 @ SV123 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV195 @ SV43 ) @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(909,plain,
! [SV252: pi,SV196: pi,SV124: name,SV44: name] :
( ( ! [SY805: pi] :
( ( input @ SV44 @ SV124 @ SV196 )
!= ( par @ SV252 @ SY805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(910,plain,
! [SV197: late_residual,SV125: pi,SV45: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV45 @ SV125 ) @ SV197 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV45 @ SV197 )
| ( late_transitions @ SV125 @ SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(911,plain,
! [SV253: pi,SV198: pi,SV126: name,SV46: name] :
( ( ! [SY806: pi] :
( ( output @ SV46 @ SV126 @ SV198 )
!= ( par @ SV253 @ SY806 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(912,plain,
! [SV254: late_freeRes,SV199: pi,SV129: set_Pr1834926343_pi_pi,SV49: pi] :
( ( ! [SY807: pi] :
( ~ ( strong743114133lation @ SV49 @ SV129 @ SV199 )
| ~ ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SY807 ) )
| ~ ! [SY808: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ SY808 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY808 @ SY807 ) @ SV129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(913,plain,
! [SV255: late_residual,SV200: pi,SV130: name,SV50: name] :
( ( ! [SY809: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
| ~ ( ~ ( late_transitions @ SV200 @ SV255 )
| ( SV50 != SV130 )
| ( SY809 @ SV50 @ SV50 ) )
| ( SY809 @ SV50 @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(914,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= ( ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(915,plain,
! [SV52: product_prod_pi_pi] :
( ( SV52
!= ( product_Pair_pi_pi @ ( sK2_SY456 @ SV52 ) @ ( sK3_SY763 @ SV52 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[833]) ).
thf(916,plain,
! [SV53: late_freeRes] :
( ( ( ! [SY810: name] :
( SV53
!= ( late_OutputR @ ( sK4_SY458 @ SV53 ) @ SY810 ) ) )
= $false )
| ( ( SV53 = late_TauR )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[834]) ).
thf(917,plain,
! [SV202: pi,SV132: name,SV54: pi] :
( ( ( tau @ SV54 )
= ( res @ SV132 @ SV202 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(918,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= ( ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(919,plain,
! [SV258: late_residual,SV204: pi,SV135: name,SV57: name] :
( ( ~ ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
| ~ ! [SY811: pi] :
( ~ ~ ( ( SV135 != SV57 )
| ( SV204 != SY811 ) )
| ~ ( late_transitions @ SY811 @ SV258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(920,plain,
! [SV259: pi,SV205: name,SV136: name,SV58: name] :
( ( ~ ( ( SV58 != SV136 ) )
| ~ ( ( SV58 != SV205 ) )
| ( ( subs @ ( res @ SV58 @ SV259 ) @ SV136 @ SV205 )
= ( res @ SV58 @ ( subs @ SV259 @ SV136 @ SV205 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(921,plain,
! [SV206: name,SV137: pi,SV59: pi] :
( ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV59 @ SV137 ) @ rel ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV206 @ SV59 ) @ ( res @ SV206 @ SV137 ) ) @ rel )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(922,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= ( ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(923,plain,
! [SV261: pi,SV208: pi,SV139: pi,SV61: name] :
( ( ~ ( fresh_name_pi @ SV61 @ SV139 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV61 @ ( par @ ( par @ SV139 @ SV208 ) @ SV261 ) ) @ ( par @ SV139 @ ( res @ SV61 @ ( par @ SV208 @ SV261 ) ) ) ) @ rel ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(924,plain,
! [SV262: name,SV209: pi,SV140: name,SV62: name] :
( ( ! [SY812: pi] :
( ( match @ SV62 @ SV140 @ SV209 )
!= ( res @ SV262 @ SY812 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(925,plain,
! [SV210: pi] :
( ( ~ ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SV210 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV210 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(926,plain,
! [SV211: name,SV141: pi,SV63: name] :
( ( ( ~ ( fresh_name_pi @ SV63 @ SV141 ) )
= $true )
| ( ( ( res @ SV211 @ SV141 )
= ( res @ SV63 @ ( subs @ SV141 @ SV211 @ SV63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(927,plain,
! [SV263: name,SV212: pi,SV142: late_freeRes,SV64: pi] :
( ( ~ ( late_transitions @ SV64 @ ( late_FreeR @ SV142 @ SV212 ) )
| ~ ( fresh_name_pi @ SV263 @ SV64 )
| ( fresh_name_pi @ SV263 @ SV212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(928,plain,
! [SV144: late_residual,SV66: pi] :
( ( ( late_transitions @ ( tau @ SV66 ) @ SV144 )
= $false )
| ( ( ~ ! [SY666: pi] :
( ( ( tau @ SV66 )
!= ( tau @ SY666 ) )
| ( SV144
!= ( late_FreeR @ late_TauR @ SY666 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(929,plain,
! [SV213: pi,SV145: pi,SV67: pi] :
( ( ( tau @ SV67 )
= ( par @ SV145 @ SV213 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(930,plain,
! [SV214: pi,SV146: name,SV68: name] :
( ( ( ~ ( ( SV68 != SV146 ) ) )
= $true )
| ( ( fresh_name_pi @ SV68 @ ( subs @ SV214 @ SV68 @ SV146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(931,plain,
! [SV147: product_prod_pi_pi,SV69: product_prod_pi_pi > $o] :
( ( ( ! [SY498: pi,SY499: pi] : ( SV69 @ ( product_Pair_pi_pi @ SY498 @ SY499 ) ) )
= $false )
| ( ( SV69 @ SV147 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(932,plain,
! [SV264: late_freeRes > pi > $o,SV215: pi,SV148: late_freeRes,SV70: pi] :
( ( ~ ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
| ~ ( ( SV148 != late_TauR )
| ( SV70 != SV215 )
| ( SV264 @ late_TauR @ SV70 ) )
| ( SV264 @ SV148 @ SV215 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(933,plain,
! [SV265: late_freeRes,SV216: pi,SV149: name,SV71: late_subject] :
( ( ! [SY813: pi] :
( ( late_BoundR @ SV71 @ SV149 @ SV216 )
!= ( late_FreeR @ SV265 @ SY813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(934,plain,
! [SV266: late_residual,SV217: pi,SV150: name,SV72: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
| ~ ! [SY814: pi,SY815: name,SY816: name] :
( ~ ~ ( ~ ~ ( ( SV72 != SY815 )
| ( SV150 != SY816 ) )
| ( SV217 != SY814 ) )
| ~ ( late_transitions @ SY814 @ SV266 )
| ( SY815 = SY816 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(935,plain,
! [SV267: pi,SV218: pi,SV151: late_freeRes,SV73: pi] :
( ( ~ ( late_transitions @ SV73 @ ( late_FreeR @ SV151 @ SV218 ) )
| ( late_transitions @ ( par @ SV73 @ SV267 ) @ ( late_FreeR @ SV151 @ ( par @ SV218 @ SV267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(936,plain,
! [SV219: name,SV152: late_residual,SV74: pi] :
( ( ( ~ ( late_transitions @ SV74 @ SV152 ) )
= $true )
| ( ( late_transitions @ ( match @ SV219 @ SV219 @ SV74 ) @ SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(937,plain,
! [SV268: name,SV220: pi,SV153: name,SV75: name] :
( ( ! [SY817: pi] :
( ( input @ SV75 @ SV153 @ SV220 )
!= ( res @ SV268 @ SY817 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(938,plain,
! [SV269: name,SV221: name,SV154: pi,SV76: name] :
( ( ~ ( fresh_name_pi @ SV76 @ SV154 )
| ( ( subs @ ( subs @ SV154 @ SV221 @ SV76 ) @ SV76 @ SV269 )
= ( subs @ SV154 @ SV221 @ SV269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(939,plain,
! [SV270: name,SV222: name,SV155: late_residual,SV77: pi] :
( ( ~ ( late_transitions @ SV77 @ SV155 )
| ~ ( ( SV222 != SV270 ) )
| ( late_transitions @ ( mismatch @ SV222 @ SV270 @ SV77 ) @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(940,plain,
! [SV271: pi,SV223: name,SV156: pi,SV78: pi] :
( ( ( sum @ SV78 @ SV156 )
!= ( res @ SV223 @ SV271 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(941,plain,
! [SV224: pi,SV157: pi,SV79: name] :
( ( ( res @ SV79 @ SV157 )
= ( bang @ SV224 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(942,plain,
! [SV272: pi,SV225: late_freeRes,SV158: pi,SV80: name] :
( ( ~ ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
| ~ ! [SY818: pi,SY819: late_freeRes,SY820: pi,SY821: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY821 @ SY818 ) )
| ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ SY819 @ ( res @ SY821 @ SY820 ) ) )
| ~ ( late_transitions @ SY818 @ ( late_FreeR @ SY819 @ SY820 ) )
| ~ ( fresh_1641682979reeRes @ SY821 @ SY819 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(943,plain,
! [SV159: late_freeRes,SV81: late_freeRes > $o] :
( ( ( ! [SY541: name,SY542: name] : ( SV81 @ ( late_OutputR @ SY541 @ SY542 ) ) )
= $false )
| ( ( ~ ( SV81 @ late_TauR )
| ( SV81 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(944,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( ! [SY544: late_subject,SY545: name,SY546: pi] : ( SV82 @ ( late_BoundR @ SY544 @ SY545 @ SY546 ) ) )
= $false )
| ( ( ~ ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) )
| ( SV82 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(945,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ~ ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
| ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[865]) ).
thf(946,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[865]) ).
thf(947,plain,
! [SV273: pi,SV227: pi,SV162: name,SV84: name] :
( ( ! [SY822: pi] :
( ( mismatch @ SV84 @ SV162 @ SV227 )
!= ( par @ SV273 @ SY822 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(948,plain,
! [SV274: name,SV228: pi,SV163: name,SV85: name] :
( ( ! [SY823: pi] :
( ( output @ SV85 @ SV163 @ SV228 )
!= ( res @ SV274 @ SY823 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(949,plain,
! [SV229: name,SV164: pi,SV86: name] :
( ( ( ~ ( fresh_name_pi @ SV86 @ SV164 ) )
= $true )
| ( ( ( subs @ SV164 @ SV86 @ SV229 )
= SV164 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(950,plain,
! [SV275: name,SV230: pi,SV165: late_freeRes,SV87: pi] :
( ( ~ ( late_transitions @ SV87 @ ( late_FreeR @ SV165 @ SV230 ) )
| ~ ( fresh_1641682979reeRes @ SV275 @ SV165 )
| ( late_transitions @ ( res @ SV275 @ SV87 ) @ ( late_FreeR @ SV165 @ ( res @ SV275 @ SV230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(951,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ( SV92 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ~ ( SV92 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(952,plain,
! [SV276: pi,SV232: pi,SV168: name,SV93: name,SV7: name] :
( ( ~ ( late_transitions @ ( res @ SV7 @ ( output @ SV93 @ SV168 @ SV232 ) ) @ ( late_FreeR @ late_TauR @ SV276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(953,plain,
! [SV233: late_residual,SV169: pi,SV94: name,SV9: name] :
( ( late_transitions @ ( res @ SV9 @ ( output @ SV9 @ SV94 @ SV169 ) ) @ SV233 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(954,plain,
! [SV234: pi,SV170: pi,SV95: name,SV10: name] :
( ( late_transitions @ ( output @ SV10 @ SV95 @ SV170 ) @ ( late_FreeR @ late_TauR @ SV234 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(955,plain,
! [SV235: late_residual,SV172: pi,SV97: name,SV12: name] :
( ( late_transitions @ ( res @ SV12 @ ( input @ SV12 @ SV97 @ SV172 ) ) @ SV235 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(956,plain,
! [SV277: pi,SV236: late_freeRes,SV173: pi,SV98: name,SV13: name] :
( ( ~ ( late_transitions @ ( input @ SV13 @ SV98 @ SV173 ) @ ( late_FreeR @ SV236 @ SV277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(957,plain,
! [SV278: late_freeRes,SV237: pi,SV174: name,SV99: name,SV14: name] :
( ( ! [SY824: pi] :
~ ( late_transitions @ ( res @ SV14 @ ( input @ SV99 @ SV174 @ SV237 ) ) @ ( late_FreeR @ SV278 @ SY824 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(958,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ~ ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) ) )
| ~ ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[878]) ).
thf(959,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[878]) ).
thf(960,plain,
! [SV24: $o] :
( ( ( SV24
| $true )
= $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(961,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(962,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(963,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(964,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(965,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(966,plain,
! [SV106: product_prod_pi_pi,SV25: product_prod_pi_pi > $o] :
( ( ( ! [SY825: pi] : ( SV25 @ ( product_Pair_pi_pi @ ( sK5_SY372 @ SV106 @ SV25 ) @ SY825 ) ) )
= $false )
| ( ( SV25 @ SV106 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[890]) ).
thf(967,plain,
! [SV279: pi > $o,SV240: pi,SV179: late_freeRes,SV107: pi,SV26: name] :
( ( ~ ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
| ~ ! [SY826: pi] :
( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ SY826 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SV279 @ ( res @ SV26 @ SY826 ) ) )
| ( SV279 @ SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(968,plain,
! [SV241: late_residual,SV180: pi,SV108: name,SV27: name] :
( ( ( ~ ( late_transitions @ ( match @ SV27 @ SV108 @ SV180 ) @ SV241 ) )
= $true )
| ( ( SV27 = SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(969,plain,
! [SV181: late_residual,SV109: pi,SV28: pi] :
( ( ( late_transitions @ ( sum @ SV28 @ SV109 ) @ SV181 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV28 @ SV181 )
| ( late_transitions @ SV109 @ SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(970,plain,
! [SV182: name,SV110: pi,SV29: name] :
( ( ( fresh_name_pi @ SV29 @ SV110 )
= $false )
| ( ( ( subs @ ( res @ SV182 @ SV110 ) @ SV182 @ SV29 )
= ( res @ SV29 @ ( subs @ SV110 @ SV182 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(971,plain,
! [SV242: pi,SV183: pi,SV111: pi,SV30: pi] :
( ( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
!= ( product_Pair_pi_pi @ SV183 @ SV242 ) )
= $true )
| ( ( ~ ( ( SV30 != SV183 )
| ( SV111 != SV242 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(972,plain,
! [SV280: name > name > $o,SV243: late_residual,SV184: pi,SV112: name,SV31: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
| ~ ( ~ ( late_transitions @ SV184 @ SV243 )
| ~ ( ( SV31 != SV112 ) )
| ( SV280 @ SV31 @ SV112 ) )
| ( SV280 @ SV31 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(973,plain,
! [SV244: pi,SV185: pi,SV113: late_freeRes,SV32: pi] :
( ( ( ~ ( late_transitions @ SV32 @ ( late_FreeR @ SV113 @ SV185 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV244 @ SV32 ) @ ( late_FreeR @ SV113 @ ( par @ SV244 @ SV185 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(974,plain,
! [SV281: pi,SV245: pi,SV186: pi,SV114: name,SV33: name] :
( ( ( match @ SV33 @ SV114 @ SV186 )
!= ( par @ SV245 @ SV281 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(975,plain,
! [SV187: pi,SV115: pi,SV34: set_Pr1834926343_pi_pi] :
( ( ( ! [SY402: pi,SY403: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ SY402 @ SY403 ) @ ( par @ SY403 @ SY402 ) ) @ SV34 ) )
= $false )
| ( ( ~ ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) )
| ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(976,plain,
! [SV35: product_prod_pi_pi] :
( ( ! [SY745: pi] :
( SV35
!= ( product_Pair_pi_pi @ ( sK1_SY407 @ SV35 ) @ SY745 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(977,plain,
! [SV282: pi,SV246: name,SV188: pi,SV116: name,SV36: name] :
( ( ( mismatch @ SV36 @ SV116 @ SV188 )
!= ( res @ SV246 @ SV282 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(978,plain,
! [SV247: pi,SV189: pi,SV117: pi,SV37: pi] :
( ( ( sum @ SV37 @ SV117 )
= ( par @ SV189 @ SV247 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(979,plain,
! [SV248: pi,SV190: name,SV118: pi,SV38: pi] :
( ( ( par @ SV38 @ SV118 )
= ( res @ SV190 @ SV248 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(980,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
| ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[904]) ).
thf(981,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= ( ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[904]) ).
thf(982,plain,
! [SV192: pi,SV120: late_residual,SV40: pi] :
( ( ( late_transitions @ SV40 @ SV120 )
= $false )
| ( ( late_transitions @ ( sum @ SV40 @ SV192 ) @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(983,plain,
! [SV250: pi,SV193: pi,SV121: pi,SV41: name] :
( ( ( ~ ( fresh_name_pi @ SV41 @ SV121 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ SV41 @ ( par @ SV193 @ SV250 ) ) @ SV121 ) @ ( res @ SV41 @ ( par @ SV193 @ ( par @ SV250 @ SV121 ) ) ) ) @ rel )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(984,plain,
! [SV251: name,SV194: name,SV122: pi,SV42: name] :
( ( ( ~ ( fresh_name_pi @ SV42 @ SV122 ) )
= $true )
| ( ( ~ ( ( SV42 != SV194 ) )
| ( fresh_name_pi @ SV42 @ ( subs @ SV122 @ SV251 @ SV194 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(985,plain,
! [SV195: pi,SV123: late_residual,SV43: pi] :
( ( ( late_transitions @ SV43 @ SV123 )
= $false )
| ( ( late_transitions @ ( sum @ SV195 @ SV43 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(986,plain,
! [SV283: pi,SV252: pi,SV196: pi,SV124: name,SV44: name] :
( ( ( input @ SV44 @ SV124 @ SV196 )
!= ( par @ SV252 @ SV283 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(987,plain,
! [SV197: late_residual,SV125: pi,SV45: pi] :
( ( ( late_transitions @ ( sum @ SV45 @ SV125 ) @ SV197 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV45 @ SV197 )
| ( late_transitions @ SV125 @ SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(988,plain,
! [SV284: pi,SV253: pi,SV198: pi,SV126: name,SV46: name] :
( ( ( output @ SV46 @ SV126 @ SV198 )
!= ( par @ SV253 @ SV284 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(989,plain,
! [SV285: pi,SV254: late_freeRes,SV199: pi,SV129: set_Pr1834926343_pi_pi,SV49: pi] :
( ( ~ ( strong743114133lation @ SV49 @ SV129 @ SV199 )
| ~ ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
| ~ ! [SY827: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ SY827 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY827 @ SV285 ) @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(990,plain,
! [SV286: name > name > $o,SV255: late_residual,SV200: pi,SV130: name,SV50: name] :
( ( ~ ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
| ~ ( ~ ( late_transitions @ SV200 @ SV255 )
| ( SV50 != SV130 )
| ( SV286 @ SV50 @ SV50 ) )
| ( SV286 @ SV50 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(991,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ~ ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
| ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
| ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[914]) ).
thf(992,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= ( ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[914]) ).
thf(993,plain,
! [SV52: product_prod_pi_pi] :
( ( SV52
= ( product_Pair_pi_pi @ ( sK2_SY456 @ SV52 ) @ ( sK3_SY763 @ SV52 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(994,plain,
! [SV53: late_freeRes] :
( ( ( SV53
!= ( late_OutputR @ ( sK4_SY458 @ SV53 ) @ ( sK6_SY810 @ SV53 ) ) )
= $false )
| ( ( SV53 = late_TauR )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[916]) ).
thf(995,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
| ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(996,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= ( ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(997,plain,
! [SV258: late_residual,SV204: pi,SV135: name,SV57: name] :
( ( ( ~ ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 ) )
= $true )
| ( ( ~ ! [SY811: pi] :
( ~ ~ ( ( SV135 != SV57 )
| ( SV204 != SY811 ) )
| ~ ( late_transitions @ SY811 @ SV258 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(998,plain,
! [SV259: pi,SV205: name,SV136: name,SV58: name] :
( ( ( ~ ( ( SV58 != SV136 ) ) )
= $true )
| ( ( ~ ( ( SV58 != SV205 ) )
| ( ( subs @ ( res @ SV58 @ SV259 ) @ SV136 @ SV205 )
= ( res @ SV58 @ ( subs @ SV259 @ SV136 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(999,plain,
! [SV206: name,SV137: pi,SV59: pi] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV59 @ SV137 ) @ rel )
= $false )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV206 @ SV59 ) @ ( res @ SV206 @ SV137 ) ) @ rel )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(1000,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
| ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(1001,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= ( ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(1002,plain,
! [SV261: pi,SV208: pi,SV139: pi,SV61: name] :
( ( ( ~ ( fresh_name_pi @ SV61 @ SV139 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV61 @ ( par @ ( par @ SV139 @ SV208 ) @ SV261 ) ) @ ( par @ SV139 @ ( res @ SV61 @ ( par @ SV208 @ SV261 ) ) ) ) @ rel )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(1003,plain,
! [SV287: pi,SV262: name,SV209: pi,SV140: name,SV62: name] :
( ( ( match @ SV62 @ SV140 @ SV209 )
!= ( res @ SV262 @ SV287 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1004,plain,
! [SV210: pi] :
( ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SV210 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV210 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(1005,plain,
! [SV211: name,SV141: pi,SV63: name] :
( ( ( fresh_name_pi @ SV63 @ SV141 )
= $false )
| ( ( ( res @ SV211 @ SV141 )
= ( res @ SV63 @ ( subs @ SV141 @ SV211 @ SV63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(1006,plain,
! [SV263: name,SV212: pi,SV142: late_freeRes,SV64: pi] :
( ( ( ~ ( late_transitions @ SV64 @ ( late_FreeR @ SV142 @ SV212 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV263 @ SV64 )
| ( fresh_name_pi @ SV263 @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1007,plain,
! [SV144: late_residual,SV66: pi] :
( ( ( ! [SY666: pi] :
( ( ( tau @ SV66 )
!= ( tau @ SY666 ) )
| ( SV144
!= ( late_FreeR @ late_TauR @ SY666 ) ) ) )
= $false )
| ( ( late_transitions @ ( tau @ SV66 ) @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1008,plain,
! [SV214: pi,SV146: name,SV68: name] :
( ( ( SV68 != SV146 )
= $false )
| ( ( fresh_name_pi @ SV68 @ ( subs @ SV214 @ SV68 @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1009,plain,
! [SV147: product_prod_pi_pi,SV69: product_prod_pi_pi > $o] :
( ( ( ! [SY828: pi] : ( SV69 @ ( product_Pair_pi_pi @ ( sK7_SY498 @ SV147 @ SV69 ) @ SY828 ) ) )
= $false )
| ( ( SV69 @ SV147 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[931]) ).
thf(1010,plain,
! [SV264: late_freeRes > pi > $o,SV215: pi,SV148: late_freeRes,SV70: pi] :
( ( ( ~ ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) ) )
= $true )
| ( ( ~ ( ( SV148 != late_TauR )
| ( SV70 != SV215 )
| ( SV264 @ late_TauR @ SV70 ) )
| ( SV264 @ SV148 @ SV215 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(1011,plain,
! [SV288: pi,SV265: late_freeRes,SV216: pi,SV149: name,SV71: late_subject] :
( ( ( late_BoundR @ SV71 @ SV149 @ SV216 )
!= ( late_FreeR @ SV265 @ SV288 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1012,plain,
! [SV266: late_residual,SV217: pi,SV150: name,SV72: name] :
( ( ( ~ ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 ) )
= $true )
| ( ( ~ ! [SY814: pi,SY815: name,SY816: name] :
( ~ ~ ( ~ ~ ( ( SV72 != SY815 )
| ( SV150 != SY816 ) )
| ( SV217 != SY814 ) )
| ~ ( late_transitions @ SY814 @ SV266 )
| ( SY815 = SY816 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1013,plain,
! [SV267: pi,SV218: pi,SV151: late_freeRes,SV73: pi] :
( ( ( ~ ( late_transitions @ SV73 @ ( late_FreeR @ SV151 @ SV218 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV73 @ SV267 ) @ ( late_FreeR @ SV151 @ ( par @ SV218 @ SV267 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(1014,plain,
! [SV219: name,SV152: late_residual,SV74: pi] :
( ( ( late_transitions @ SV74 @ SV152 )
= $false )
| ( ( late_transitions @ ( match @ SV219 @ SV219 @ SV74 ) @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(1015,plain,
! [SV289: pi,SV268: name,SV220: pi,SV153: name,SV75: name] :
( ( ( input @ SV75 @ SV153 @ SV220 )
!= ( res @ SV268 @ SV289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1016,plain,
! [SV269: name,SV221: name,SV154: pi,SV76: name] :
( ( ( ~ ( fresh_name_pi @ SV76 @ SV154 ) )
= $true )
| ( ( ( subs @ ( subs @ SV154 @ SV221 @ SV76 ) @ SV76 @ SV269 )
= ( subs @ SV154 @ SV221 @ SV269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(1017,plain,
! [SV270: name,SV222: name,SV155: late_residual,SV77: pi] :
( ( ( ~ ( late_transitions @ SV77 @ SV155 ) )
= $true )
| ( ( ~ ( ( SV222 != SV270 ) )
| ( late_transitions @ ( mismatch @ SV222 @ SV270 @ SV77 ) @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1018,plain,
! [SV271: pi,SV223: name,SV156: pi,SV78: pi] :
( ( ( sum @ SV78 @ SV156 )
= ( res @ SV223 @ SV271 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1019,plain,
! [SV272: pi,SV225: late_freeRes,SV158: pi,SV80: name] :
( ( ( ~ ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) ) )
= $true )
| ( ( ~ ! [SY818: pi,SY819: late_freeRes,SY820: pi,SY821: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY821 @ SY818 ) )
| ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ SY819 @ ( res @ SY821 @ SY820 ) ) )
| ~ ( late_transitions @ SY818 @ ( late_FreeR @ SY819 @ SY820 ) )
| ~ ( fresh_1641682979reeRes @ SY821 @ SY819 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(1020,plain,
! [SV159: late_freeRes,SV81: late_freeRes > $o] :
( ( ( ! [SY829: name] : ( SV81 @ ( late_OutputR @ ( sK8_SY541 @ SV159 @ SV81 ) @ SY829 ) ) )
= $false )
| ( ( ~ ( SV81 @ late_TauR )
| ( SV81 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[943]) ).
thf(1021,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( ! [SY830: name,SY831: pi] : ( SV82 @ ( late_BoundR @ ( sK9_SY544 @ SV160 @ SV82 ) @ SY830 @ SY831 ) ) )
= $false )
| ( ( ~ ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) )
| ( SV82 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[944]) ).
thf(1022,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(1023,plain,
! [SV290: pi,SV273: pi,SV227: pi,SV162: name,SV84: name] :
( ( ( mismatch @ SV84 @ SV162 @ SV227 )
!= ( par @ SV273 @ SV290 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1024,plain,
! [SV291: pi,SV274: name,SV228: pi,SV163: name,SV85: name] :
( ( ( output @ SV85 @ SV163 @ SV228 )
!= ( res @ SV274 @ SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1025,plain,
! [SV229: name,SV164: pi,SV86: name] :
( ( ( fresh_name_pi @ SV86 @ SV164 )
= $false )
| ( ( ( subs @ SV164 @ SV86 @ SV229 )
= SV164 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1026,plain,
! [SV275: name,SV230: pi,SV165: late_freeRes,SV87: pi] :
( ( ( ~ ( late_transitions @ SV87 @ ( late_FreeR @ SV165 @ SV230 ) ) )
= $true )
| ( ( ~ ( fresh_1641682979reeRes @ SV275 @ SV165 )
| ( late_transitions @ ( res @ SV275 @ SV87 ) @ ( late_FreeR @ SV165 @ ( res @ SV275 @ SV230 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1027,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= $false )
| ( ( ~ ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ~ ( SV92 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1028,plain,
! [SV5: product_prod_pi_pi,SV92: product_prod_pi_pi > $o] :
( ( ( SV92 @ SV5 )
= $false )
| ( ( ~ ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ~ ( SV92 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1029,plain,
! [SV276: pi,SV232: pi,SV168: name,SV93: name,SV7: name] :
( ( late_transitions @ ( res @ SV7 @ ( output @ SV93 @ SV168 @ SV232 ) ) @ ( late_FreeR @ late_TauR @ SV276 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1030,plain,
! [SV277: pi,SV236: late_freeRes,SV173: pi,SV98: name,SV13: name] :
( ( late_transitions @ ( input @ SV13 @ SV98 @ SV173 ) @ ( late_FreeR @ SV236 @ SV277 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1031,plain,
! [SV292: pi,SV278: late_freeRes,SV237: pi,SV174: name,SV99: name,SV14: name] :
( ( ~ ( late_transitions @ ( res @ SV14 @ ( input @ SV99 @ SV174 @ SV237 ) ) @ ( late_FreeR @ SV278 @ SV292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1032,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ~ ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true )
| ( ( ~ ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(1033,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1034,plain,
! [SV24: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1035,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1036,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(1037,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(1038,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1039,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1040,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1041,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1042,plain,
! [SV106: product_prod_pi_pi,SV25: product_prod_pi_pi > $o] :
( ( ( SV25 @ ( product_Pair_pi_pi @ ( sK5_SY372 @ SV106 @ SV25 ) @ ( sK10_SY825 @ SV106 @ SV25 ) ) )
= $false )
| ( ( SV25 @ SV106 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[966]) ).
thf(1043,plain,
! [SV279: pi > $o,SV240: pi,SV179: late_freeRes,SV107: pi,SV26: name] :
( ( ( ~ ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) ) )
= $true )
| ( ( ~ ! [SY826: pi] :
( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ SY826 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SV279 @ ( res @ SV26 @ SY826 ) ) )
| ( SV279 @ SV240 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1044,plain,
! [SV241: late_residual,SV180: pi,SV108: name,SV27: name] :
( ( ( late_transitions @ ( match @ SV27 @ SV108 @ SV180 ) @ SV241 )
= $false )
| ( ( SV27 = SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1045,plain,
! [SV109: pi,SV181: late_residual,SV28: pi] :
( ( ( ~ ~ ( late_transitions @ SV28 @ SV181 ) )
= $true )
| ( ( late_transitions @ SV109 @ SV181 )
= $true )
| ( ( late_transitions @ ( sum @ SV28 @ SV109 ) @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1046,plain,
! [SV242: pi,SV183: pi,SV111: pi,SV30: pi] :
( ( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
= ( product_Pair_pi_pi @ SV183 @ SV242 ) )
= $false )
| ( ( ~ ( ( SV30 != SV183 )
| ( SV111 != SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1047,plain,
! [SV280: name > name > $o,SV243: late_residual,SV184: pi,SV112: name,SV31: name] :
( ( ( ~ ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 ) )
= $true )
| ( ( ~ ( ~ ( late_transitions @ SV184 @ SV243 )
| ~ ( ( SV31 != SV112 ) )
| ( SV280 @ SV31 @ SV112 ) )
| ( SV280 @ SV31 @ SV112 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1048,plain,
! [SV244: pi,SV185: pi,SV113: late_freeRes,SV32: pi] :
( ( ( late_transitions @ SV32 @ ( late_FreeR @ SV113 @ SV185 ) )
= $false )
| ( ( late_transitions @ ( par @ SV244 @ SV32 ) @ ( late_FreeR @ SV113 @ ( par @ SV244 @ SV185 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1049,plain,
! [SV281: pi,SV245: pi,SV186: pi,SV114: name,SV33: name] :
( ( ( match @ SV33 @ SV114 @ SV186 )
= ( par @ SV245 @ SV281 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1050,plain,
! [SV34: set_Pr1834926343_pi_pi,SV115: pi,SV187: pi] :
( ( ( ! [SY832: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ SY832 ) @ ( par @ SY832 @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 ) )
= $false )
| ( ( ~ ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) )
| ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[975]) ).
thf(1051,plain,
! [SV35: product_prod_pi_pi] :
( ( SV35
!= ( product_Pair_pi_pi @ ( sK1_SY407 @ SV35 ) @ ( sK12_SY745 @ SV35 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[976]) ).
thf(1052,plain,
! [SV282: pi,SV246: name,SV188: pi,SV116: name,SV36: name] :
( ( ( mismatch @ SV36 @ SV116 @ SV188 )
= ( res @ SV246 @ SV282 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1053,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1054,plain,
! [SV250: pi,SV193: pi,SV121: pi,SV41: name] :
( ( ( fresh_name_pi @ SV41 @ SV121 )
= $false )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ SV41 @ ( par @ SV193 @ SV250 ) ) @ SV121 ) @ ( res @ SV41 @ ( par @ SV193 @ ( par @ SV250 @ SV121 ) ) ) ) @ rel )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1055,plain,
! [SV251: name,SV194: name,SV122: pi,SV42: name] :
( ( ( fresh_name_pi @ SV42 @ SV122 )
= $false )
| ( ( ~ ( ( SV42 != SV194 ) )
| ( fresh_name_pi @ SV42 @ ( subs @ SV122 @ SV251 @ SV194 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1056,plain,
! [SV283: pi,SV252: pi,SV196: pi,SV124: name,SV44: name] :
( ( ( input @ SV44 @ SV124 @ SV196 )
= ( par @ SV252 @ SV283 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1057,plain,
! [SV125: pi,SV197: late_residual,SV45: pi] :
( ( ( ~ ~ ( late_transitions @ SV45 @ SV197 ) )
= $true )
| ( ( late_transitions @ SV125 @ SV197 )
= $true )
| ( ( late_transitions @ ( sum @ SV45 @ SV125 ) @ SV197 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1058,plain,
! [SV284: pi,SV253: pi,SV198: pi,SV126: name,SV46: name] :
( ( ( output @ SV46 @ SV126 @ SV198 )
= ( par @ SV253 @ SV284 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1059,plain,
! [SV285: pi,SV254: late_freeRes,SV199: pi,SV129: set_Pr1834926343_pi_pi,SV49: pi] :
( ( ( ~ ( strong743114133lation @ SV49 @ SV129 @ SV199 ) )
= $true )
| ( ( ~ ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
| ~ ! [SY827: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ SY827 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY827 @ SV285 ) @ SV129 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1060,plain,
! [SV286: name > name > $o,SV255: late_residual,SV200: pi,SV130: name,SV50: name] :
( ( ( ~ ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 ) )
= $true )
| ( ( ~ ( ~ ( late_transitions @ SV200 @ SV255 )
| ( SV50 != SV130 )
| ( SV286 @ SV50 @ SV50 ) )
| ( SV286 @ SV50 @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[990]) ).
thf(1061,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ~ ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
| ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true )
| ( ( ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1062,plain,
! [SV53: late_freeRes] :
( ( ( SV53
= ( late_OutputR @ ( sK4_SY458 @ SV53 ) @ ( sK6_SY810 @ SV53 ) ) )
= $true )
| ( ( SV53 = late_TauR )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1063,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[995]) ).
thf(1064,plain,
! [SV258: late_residual,SV204: pi,SV135: name,SV57: name] :
( ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false )
| ( ( ~ ! [SY811: pi] :
( ~ ~ ( ( SV135 != SV57 )
| ( SV204 != SY811 ) )
| ~ ( late_transitions @ SY811 @ SV258 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1065,plain,
! [SV259: pi,SV205: name,SV136: name,SV58: name] :
( ( ( SV58 != SV136 )
= $false )
| ( ( ~ ( ( SV58 != SV205 ) )
| ( ( subs @ ( res @ SV58 @ SV259 ) @ SV136 @ SV205 )
= ( res @ SV58 @ ( subs @ SV259 @ SV136 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1066,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1067,plain,
! [SV261: pi,SV208: pi,SV139: pi,SV61: name] :
( ( ( fresh_name_pi @ SV61 @ SV139 )
= $false )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SV61 @ ( par @ ( par @ SV139 @ SV208 ) @ SV261 ) ) @ ( par @ SV139 @ ( res @ SV61 @ ( par @ SV208 @ SV261 ) ) ) ) @ rel )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1068,plain,
! [SV287: pi,SV262: name,SV209: pi,SV140: name,SV62: name] :
( ( ( match @ SV62 @ SV140 @ SV209 )
= ( res @ SV262 @ SV287 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1069,plain,
! [SV210: pi] :
( ( ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SV210 ) ) )
= $true )
| ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV210 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1070,plain,
! [SV263: name,SV212: pi,SV142: late_freeRes,SV64: pi] :
( ( ( late_transitions @ SV64 @ ( late_FreeR @ SV142 @ SV212 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV263 @ SV64 )
| ( fresh_name_pi @ SV263 @ SV212 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1071,plain,
! [SV144: late_residual,SV66: pi] :
( ( ( ( ( tau @ SV66 )
!= ( tau @ ( sK13_SY666 @ SV144 @ SV66 ) ) )
| ( SV144
!= ( late_FreeR @ late_TauR @ ( sK13_SY666 @ SV144 @ SV66 ) ) ) )
= $false )
| ( ( late_transitions @ ( tau @ SV66 ) @ SV144 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1007]) ).
thf(1072,plain,
! [SV214: pi,SV146: name,SV68: name] :
( ( ( SV68 = SV146 )
= $true )
| ( ( fresh_name_pi @ SV68 @ ( subs @ SV214 @ SV68 @ SV146 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1073,plain,
! [SV147: product_prod_pi_pi,SV69: product_prod_pi_pi > $o] :
( ( ( SV69 @ ( product_Pair_pi_pi @ ( sK7_SY498 @ SV147 @ SV69 ) @ ( sK14_SY828 @ SV147 @ SV69 ) ) )
= $false )
| ( ( SV69 @ SV147 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1009]) ).
thf(1074,plain,
! [SV264: late_freeRes > pi > $o,SV215: pi,SV148: late_freeRes,SV70: pi] :
( ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false )
| ( ( ~ ( ( SV148 != late_TauR )
| ( SV70 != SV215 )
| ( SV264 @ late_TauR @ SV70 ) )
| ( SV264 @ SV148 @ SV215 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1075,plain,
! [SV288: pi,SV265: late_freeRes,SV216: pi,SV149: name,SV71: late_subject] :
( ( ( late_BoundR @ SV71 @ SV149 @ SV216 )
= ( late_FreeR @ SV265 @ SV288 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1076,plain,
! [SV266: late_residual,SV217: pi,SV150: name,SV72: name] :
( ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false )
| ( ( ~ ! [SY814: pi,SY815: name,SY816: name] :
( ~ ~ ( ~ ~ ( ( SV72 != SY815 )
| ( SV150 != SY816 ) )
| ( SV217 != SY814 ) )
| ~ ( late_transitions @ SY814 @ SV266 )
| ( SY815 = SY816 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1077,plain,
! [SV267: pi,SV218: pi,SV151: late_freeRes,SV73: pi] :
( ( ( late_transitions @ SV73 @ ( late_FreeR @ SV151 @ SV218 ) )
= $false )
| ( ( late_transitions @ ( par @ SV73 @ SV267 ) @ ( late_FreeR @ SV151 @ ( par @ SV218 @ SV267 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1078,plain,
! [SV289: pi,SV268: name,SV220: pi,SV153: name,SV75: name] :
( ( ( input @ SV75 @ SV153 @ SV220 )
= ( res @ SV268 @ SV289 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1079,plain,
! [SV269: name,SV221: name,SV154: pi,SV76: name] :
( ( ( fresh_name_pi @ SV76 @ SV154 )
= $false )
| ( ( ( subs @ ( subs @ SV154 @ SV221 @ SV76 ) @ SV76 @ SV269 )
= ( subs @ SV154 @ SV221 @ SV269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1080,plain,
! [SV270: name,SV222: name,SV155: late_residual,SV77: pi] :
( ( ( late_transitions @ SV77 @ SV155 )
= $false )
| ( ( ~ ( ( SV222 != SV270 ) )
| ( late_transitions @ ( mismatch @ SV222 @ SV270 @ SV77 ) @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1081,plain,
! [SV272: pi,SV225: late_freeRes,SV158: pi,SV80: name] :
( ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false )
| ( ( ~ ! [SY818: pi,SY819: late_freeRes,SY820: pi,SY821: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY821 @ SY818 ) )
| ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ SY819 @ ( res @ SY821 @ SY820 ) ) )
| ~ ( late_transitions @ SY818 @ ( late_FreeR @ SY819 @ SY820 ) )
| ~ ( fresh_1641682979reeRes @ SY821 @ SY819 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1082,plain,
! [SV159: late_freeRes,SV81: late_freeRes > $o] :
( ( ( SV81 @ ( late_OutputR @ ( sK8_SY541 @ SV159 @ SV81 ) @ ( sK15_SY829 @ SV159 @ SV81 ) ) )
= $false )
| ( ( ~ ( SV81 @ late_TauR )
| ( SV81 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1020]) ).
thf(1083,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( ! [SY833: pi] : ( SV82 @ ( late_BoundR @ ( sK9_SY544 @ SV160 @ SV82 ) @ ( sK16_SY830 @ SV160 @ SV82 ) @ SY833 ) ) )
= $false )
| ( ( ~ ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) )
| ( SV82 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1021]) ).
thf(1084,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1085,plain,
! [SV290: pi,SV273: pi,SV227: pi,SV162: name,SV84: name] :
( ( ( mismatch @ SV84 @ SV162 @ SV227 )
= ( par @ SV273 @ SV290 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1086,plain,
! [SV291: pi,SV274: name,SV228: pi,SV163: name,SV85: name] :
( ( ( output @ SV85 @ SV163 @ SV228 )
= ( res @ SV274 @ SV291 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1087,plain,
! [SV275: name,SV230: pi,SV165: late_freeRes,SV87: pi] :
( ( ( late_transitions @ SV87 @ ( late_FreeR @ SV165 @ SV230 ) )
= $false )
| ( ( ~ ( fresh_1641682979reeRes @ SV275 @ SV165 )
| ( late_transitions @ ( res @ SV275 @ SV87 ) @ ( late_FreeR @ SV165 @ ( res @ SV275 @ SV230 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1088,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ~ ( SV92 @ SV5 ) )
= $false )
| ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1089,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
| ~ ( SV92 @ SV5 ) )
= $false )
| ( ( SV92 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1090,plain,
! [SV292: pi,SV278: late_freeRes,SV237: pi,SV174: name,SV99: name,SV14: name] :
( ( late_transitions @ ( res @ SV14 @ ( input @ SV99 @ SV174 @ SV237 ) ) @ ( late_FreeR @ SV278 @ SV292 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1091,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1092,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $true )
= $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1093,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1094,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1095,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1096,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1097,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1098,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1099,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1100,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1101,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1102,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1103,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1104,plain,
! [SV279: pi > $o,SV240: pi,SV179: late_freeRes,SV107: pi,SV26: name] :
( ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false )
| ( ( ~ ! [SY826: pi] :
( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ SY826 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SV279 @ ( res @ SV26 @ SY826 ) ) )
| ( SV279 @ SV240 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1105,plain,
! [SV109: pi,SV181: late_residual,SV28: pi] :
( ( ( ~ ( late_transitions @ SV28 @ SV181 ) )
= $false )
| ( ( late_transitions @ SV109 @ SV181 )
= $true )
| ( ( late_transitions @ ( sum @ SV28 @ SV109 ) @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1106,plain,
! [SV242: pi,SV111: pi,SV183: pi,SV30: pi] :
( ( ( ( SV30 != SV183 )
| ( SV111 != SV242 ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
= ( product_Pair_pi_pi @ SV183 @ SV242 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1107,plain,
! [SV280: name > name > $o,SV243: late_residual,SV184: pi,SV112: name,SV31: name] :
( ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false )
| ( ( ~ ( ~ ( late_transitions @ SV184 @ SV243 )
| ~ ( ( SV31 != SV112 ) )
| ( SV280 @ SV31 @ SV112 ) )
| ( SV280 @ SV31 @ SV112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1108,plain,
! [SV34: set_Pr1834926343_pi_pi,SV115: pi,SV187: pi] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false )
| ( ( ~ ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) )
| ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1050]) ).
thf(1109,plain,
! [SV35: product_prod_pi_pi] :
( ( SV35
= ( product_Pair_pi_pi @ ( sK1_SY407 @ SV35 ) @ ( sK12_SY745 @ SV35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1110,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1111,plain,
! [SV251: name,SV122: pi,SV194: name,SV42: name] :
( ( ( ~ ( ( SV42 != SV194 ) ) )
= $true )
| ( ( fresh_name_pi @ SV42 @ ( subs @ SV122 @ SV251 @ SV194 ) )
= $true )
| ( ( fresh_name_pi @ SV42 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1112,plain,
! [SV125: pi,SV197: late_residual,SV45: pi] :
( ( ( ~ ( late_transitions @ SV45 @ SV197 ) )
= $false )
| ( ( late_transitions @ SV125 @ SV197 )
= $true )
| ( ( late_transitions @ ( sum @ SV45 @ SV125 ) @ SV197 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1113,plain,
! [SV285: pi,SV254: late_freeRes,SV199: pi,SV129: set_Pr1834926343_pi_pi,SV49: pi] :
( ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false )
| ( ( ~ ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
| ~ ! [SY827: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ SY827 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY827 @ SV285 ) @ SV129 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1114,plain,
! [SV286: name > name > $o,SV255: late_residual,SV200: pi,SV130: name,SV50: name] :
( ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false )
| ( ( ~ ( ~ ( late_transitions @ SV200 @ SV255 )
| ( SV50 != SV130 )
| ( SV286 @ SV50 @ SV50 ) )
| ( SV286 @ SV50 @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1115,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
| ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
= $false )
| ( ( ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1116,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
= $false )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1117,plain,
! [SV258: late_residual,SV204: pi,SV57: name,SV135: name] :
( ( ( ! [SY811: pi] :
( ~ ~ ( ( SV135 != SV57 )
| ( SV204 != SY811 ) )
| ~ ( late_transitions @ SY811 @ SV258 ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1118,plain,
! [SV259: pi,SV205: name,SV136: name,SV58: name] :
( ( ( SV58 = SV136 )
= $true )
| ( ( ~ ( ( SV58 != SV205 ) )
| ( ( subs @ ( res @ SV58 @ SV259 ) @ SV136 @ SV205 )
= ( res @ SV58 @ ( subs @ SV259 @ SV136 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1119,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
= $false )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1120,plain,
! [SV210: pi] :
( ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SV210 ) )
= $false )
| ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV210 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1121,plain,
! [SV142: late_freeRes,SV212: pi,SV64: pi,SV263: name] :
( ( ( ~ ( fresh_name_pi @ SV263 @ SV64 ) )
= $true )
| ( ( fresh_name_pi @ SV263 @ SV212 )
= $true )
| ( ( late_transitions @ SV64 @ ( late_FreeR @ SV142 @ SV212 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1122,plain,
! [SV144: late_residual,SV66: pi] :
( ( ( ( tau @ SV66 )
!= ( tau @ ( sK13_SY666 @ SV144 @ SV66 ) ) )
= $false )
| ( ( late_transitions @ ( tau @ SV66 ) @ SV144 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1071]) ).
thf(1123,plain,
! [SV66: pi,SV144: late_residual] :
( ( ( SV144
!= ( late_FreeR @ late_TauR @ ( sK13_SY666 @ SV144 @ SV66 ) ) )
= $false )
| ( ( late_transitions @ ( tau @ SV66 ) @ SV144 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1071]) ).
thf(1124,plain,
! [SV264: late_freeRes > pi > $o,SV215: pi,SV70: pi,SV148: late_freeRes] :
( ( ( ~ ( ( SV148 != late_TauR )
| ( SV70 != SV215 )
| ( SV264 @ late_TauR @ SV70 ) ) )
= $true )
| ( ( SV264 @ SV148 @ SV215 )
= $true )
| ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1125,plain,
! [SV266: late_residual,SV217: pi,SV150: name,SV72: name] :
( ( ( ! [SY814: pi,SY815: name,SY816: name] :
( ~ ~ ( ~ ~ ( ( SV72 != SY815 )
| ( SV150 != SY816 ) )
| ( SV217 != SY814 ) )
| ~ ( late_transitions @ SY814 @ SV266 )
| ( SY815 = SY816 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1126,plain,
! [SV155: late_residual,SV77: pi,SV270: name,SV222: name] :
( ( ( ~ ( ( SV222 != SV270 ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV222 @ SV270 @ SV77 ) @ SV155 )
= $true )
| ( ( late_transitions @ SV77 @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1127,plain,
! [SV272: pi,SV225: late_freeRes,SV158: pi,SV80: name] :
( ( ( ! [SY818: pi,SY819: late_freeRes,SY820: pi,SY821: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY821 @ SY818 ) )
| ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ SY819 @ ( res @ SY821 @ SY820 ) ) )
| ~ ( late_transitions @ SY818 @ ( late_FreeR @ SY819 @ SY820 ) )
| ~ ( fresh_1641682979reeRes @ SY821 @ SY819 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1128,plain,
! [SV159: late_freeRes,SV81: late_freeRes > $o] :
( ( ( ~ ( SV81 @ late_TauR ) )
= $true )
| ( ( SV81 @ SV159 )
= $true )
| ( ( SV81 @ ( late_OutputR @ ( sK8_SY541 @ SV159 @ SV81 ) @ ( sK15_SY829 @ SV159 @ SV81 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1129,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( SV82 @ ( late_BoundR @ ( sK9_SY544 @ SV160 @ SV82 ) @ ( sK16_SY830 @ SV160 @ SV82 ) @ ( sK18_SY833 @ SV160 @ SV82 ) ) )
= $false )
| ( ( ~ ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) )
| ( SV82 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1083]) ).
thf(1130,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1131,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1132,plain,
! [SV230: pi,SV87: pi,SV165: late_freeRes,SV275: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV275 @ SV165 ) )
= $true )
| ( ( late_transitions @ ( res @ SV275 @ SV87 ) @ ( late_FreeR @ SV165 @ ( res @ SV275 @ SV230 ) ) )
= $true )
| ( ( late_transitions @ SV87 @ ( late_FreeR @ SV165 @ SV230 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1133,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) ) )
= $false )
| ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1134,plain,
! [SV5: product_prod_pi_pi,SV92: product_prod_pi_pi > $o] :
( ( ( ~ ( SV92 @ SV5 ) )
= $false )
| ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1135,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( ~ ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) ) )
= $false )
| ( ( SV92 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1136,plain,
! [SV5: product_prod_pi_pi,SV92: product_prod_pi_pi > $o] :
( ( ( ~ ( SV92 @ SV5 ) )
= $false )
| ( ( SV92 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1137,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false )
| ( ( ~ ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1138,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false )
| ( ( ~ ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1139,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1140,plain,
! [SV24: $o] :
( ( ( ~ $true ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1141,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1142,plain,
! [SV24: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1143,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1144,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1145,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1146,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1147,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1097]) ).
thf(1148,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1097]) ).
thf(1149,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1150,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1151,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1100]) ).
thf(1152,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1100]) ).
thf(1153,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1154,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1155,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1156,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1157,plain,
! [SV240: pi,SV279: pi > $o,SV26: name,SV179: late_freeRes,SV107: pi] :
( ( ( ~ ! [SY826: pi] :
( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ SY826 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SV279 @ ( res @ SV26 @ SY826 ) ) ) )
= $true )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1158,plain,
! [SV109: pi,SV181: late_residual,SV28: pi] :
( ( ( late_transitions @ SV28 @ SV181 )
= $true )
| ( ( late_transitions @ SV109 @ SV181 )
= $true )
| ( ( late_transitions @ ( sum @ SV28 @ SV109 ) @ SV181 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1105]) ).
thf(1159,plain,
! [SV242: pi,SV111: pi,SV183: pi,SV30: pi] :
( ( ( SV30 != SV183 )
= $false )
| ( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
= ( product_Pair_pi_pi @ SV183 @ SV242 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1160,plain,
! [SV183: pi,SV30: pi,SV242: pi,SV111: pi] :
( ( ( SV111 != SV242 )
= $false )
| ( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
= ( product_Pair_pi_pi @ SV183 @ SV242 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1161,plain,
! [SV280: name > name > $o,SV112: name,SV31: name,SV243: late_residual,SV184: pi] :
( ( ( ~ ( ~ ( late_transitions @ SV184 @ SV243 )
| ~ ( ( SV31 != SV112 ) )
| ( SV280 @ SV31 @ SV112 ) ) )
= $true )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1162,plain,
! [SV187: pi,SV115: pi,SV34: set_Pr1834926343_pi_pi] :
( ( ( ~ ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) ) )
= $true )
| ( ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1163,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1164,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1165,plain,
! [SV251: name,SV122: pi,SV194: name,SV42: name] :
( ( ( SV42 != SV194 )
= $false )
| ( ( fresh_name_pi @ SV42 @ ( subs @ SV122 @ SV251 @ SV194 ) )
= $true )
| ( ( fresh_name_pi @ SV42 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1166,plain,
! [SV125: pi,SV197: late_residual,SV45: pi] :
( ( ( late_transitions @ SV45 @ SV197 )
= $true )
| ( ( late_transitions @ SV125 @ SV197 )
= $true )
| ( ( late_transitions @ ( sum @ SV45 @ SV125 ) @ SV197 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1167,plain,
! [SV129: set_Pr1834926343_pi_pi,SV49: pi,SV285: pi,SV254: late_freeRes,SV199: pi] :
( ( ( ~ ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) ) )
= $true )
| ( ( ~ ! [SY827: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ SY827 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY827 @ SV285 ) @ SV129 ) ) )
= $true )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1113]) ).
thf(1168,plain,
! [SV286: name > name > $o,SV130: name,SV50: name,SV255: late_residual,SV200: pi] :
( ( ( ~ ( ~ ( late_transitions @ SV200 @ SV255 )
| ( SV50 != SV130 )
| ( SV286 @ SV50 @ SV50 ) ) )
= $true )
| ( ( SV286 @ SV50 @ SV130 )
= $true )
| ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1169,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false )
| ( ( ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1170,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
= $false )
| ( ( ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1171,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1172,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
= $false )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1173,plain,
! [SV258: late_residual,SV204: pi,SV57: name,SV135: name] :
( ( ( ~ ~ ( ( SV135 != SV57 )
| ( SV204
!= ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) ) )
| ~ ( late_transitions @ ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) @ SV258 ) )
= $false )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1117]) ).
thf(1174,plain,
! [SV136: name,SV259: pi,SV205: name,SV58: name] :
( ( ( ~ ( ( SV58 != SV205 ) ) )
= $true )
| ( ( ( subs @ ( res @ SV58 @ SV259 ) @ SV136 @ SV205 )
= ( res @ SV58 @ ( subs @ SV259 @ SV136 @ SV205 ) ) )
= $true )
| ( ( SV58 = SV136 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1175,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1176,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
= $false )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1177,plain,
! [SV210: pi] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV210 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel )
= $false )
| ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ SV210 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1178,plain,
! [SV142: late_freeRes,SV212: pi,SV64: pi,SV263: name] :
( ( ( fresh_name_pi @ SV263 @ SV64 )
= $false )
| ( ( fresh_name_pi @ SV263 @ SV212 )
= $true )
| ( ( late_transitions @ SV64 @ ( late_FreeR @ SV142 @ SV212 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1179,plain,
! [SV144: late_residual,SV66: pi] :
( ( ( ( tau @ SV66 )
= ( tau @ ( sK13_SY666 @ SV144 @ SV66 ) ) )
= $true )
| ( ( late_transitions @ ( tau @ SV66 ) @ SV144 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1180,plain,
! [SV66: pi,SV144: late_residual] :
( ( ( SV144
= ( late_FreeR @ late_TauR @ ( sK13_SY666 @ SV144 @ SV66 ) ) )
= $true )
| ( ( late_transitions @ ( tau @ SV66 ) @ SV144 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1181,plain,
! [SV264: late_freeRes > pi > $o,SV215: pi,SV70: pi,SV148: late_freeRes] :
( ( ( ( SV148 != late_TauR )
| ( SV70 != SV215 )
| ( SV264 @ late_TauR @ SV70 ) )
= $false )
| ( ( SV264 @ SV148 @ SV215 )
= $true )
| ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1182,plain,
! [SV266: late_residual,SV217: pi,SV150: name,SV72: name] :
( ( ( ! [SY834: name,SY835: name] :
( ~ ~ ( ~ ~ ( ( SV72 != SY834 )
| ( SV150 != SY835 ) )
| ( SV217
!= ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) ) )
| ~ ( late_transitions @ ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) @ SV266 )
| ( SY834 = SY835 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1125]) ).
thf(1183,plain,
! [SV155: late_residual,SV77: pi,SV270: name,SV222: name] :
( ( ( SV222 != SV270 )
= $false )
| ( ( late_transitions @ ( mismatch @ SV222 @ SV270 @ SV77 ) @ SV155 )
= $true )
| ( ( late_transitions @ SV77 @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1184,plain,
! [SV225: late_freeRes,SV272: pi,SV158: pi,SV80: name] :
( ( ( ! [SY836: late_freeRes,SY837: pi,SY838: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY838 @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) ) )
| ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ SY836 @ ( res @ SY838 @ SY837 ) ) )
| ~ ( late_transitions @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) @ ( late_FreeR @ SY836 @ SY837 ) )
| ~ ( fresh_1641682979reeRes @ SY838 @ SY836 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1127]) ).
thf(1185,plain,
! [SV159: late_freeRes,SV81: late_freeRes > $o] :
( ( ( SV81 @ late_TauR )
= $false )
| ( ( SV81 @ SV159 )
= $true )
| ( ( SV81 @ ( late_OutputR @ ( sK8_SY541 @ SV159 @ SV81 ) @ ( sK15_SY829 @ SV159 @ SV81 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1186,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( ~ ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) ) )
= $true )
| ( ( SV82 @ SV160 )
= $true )
| ( ( SV82 @ ( late_BoundR @ ( sK9_SY544 @ SV160 @ SV82 ) @ ( sK16_SY830 @ SV160 @ SV82 ) @ ( sK18_SY833 @ SV160 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1129]) ).
thf(1187,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1188,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1131]) ).
thf(1189,plain,
! [SV230: pi,SV87: pi,SV165: late_freeRes,SV275: name] :
( ( ( fresh_1641682979reeRes @ SV275 @ SV165 )
= $false )
| ( ( late_transitions @ ( res @ SV275 @ SV87 ) @ ( late_FreeR @ SV165 @ ( res @ SV275 @ SV230 ) ) )
= $true )
| ( ( late_transitions @ SV87 @ ( late_FreeR @ SV165 @ SV230 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1190,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= $true )
| ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1191,plain,
! [SV5: product_prod_pi_pi,SV92: product_prod_pi_pi > $o] :
( ( ( SV92 @ SV5 )
= $true )
| ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1134]) ).
thf(1192,plain,
! [SV92: product_prod_pi_pi > $o,SV5: product_prod_pi_pi] :
( ( ( member558706512_pi_pi @ SV5 @ ( collec1051790738_pi_pi @ SV92 ) )
= $true )
| ( ( SV92 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1193,plain,
! [SV5: product_prod_pi_pi,SV92: product_prod_pi_pi > $o] :
( ( ( SV92 @ SV5 )
= $true )
| ( ( SV92 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1136]) ).
thf(1194,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) )
= $false )
| ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1195,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ! [SV293: name] :
( ( abs_fun_name_pi @ SV16 @ SV100 @ SV293 )
= ( abs_fun_name_pi @ SV175 @ SV238 @ SV293 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1138]) ).
thf(1196,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false )
| ( ( ~ ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1138]) ).
thf(1197,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1198,plain,
! [SV24: $o] :
( ( $true = $true )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1140]) ).
thf(1199,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1200,plain,
! [SV24: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1201,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1202,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1203,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1204,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1205,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1206,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1207,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1208,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1209,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1210,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1211,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1212,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1213,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1214,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1215,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1216,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1217,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1218,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1219,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1220,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1221,plain,
! [SV240: pi,SV279: pi > $o,SV26: name,SV179: late_freeRes,SV107: pi] :
( ( ( ! [SY826: pi] :
( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ SY826 ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SV279 @ ( res @ SV26 @ SY826 ) ) ) )
= $false )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1222,plain,
! [SV242: pi,SV111: pi,SV183: pi,SV30: pi] :
( ( ( SV30 = SV183 )
= $true )
| ( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
= ( product_Pair_pi_pi @ SV183 @ SV242 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1223,plain,
! [SV183: pi,SV30: pi,SV242: pi,SV111: pi] :
( ( ( SV111 = SV242 )
= $true )
| ( ( ( product_Pair_pi_pi @ SV30 @ SV111 )
= ( product_Pair_pi_pi @ SV183 @ SV242 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1224,plain,
! [SV280: name > name > $o,SV112: name,SV31: name,SV243: late_residual,SV184: pi] :
( ( ( ~ ( late_transitions @ SV184 @ SV243 )
| ~ ( ( SV31 != SV112 ) )
| ( SV280 @ SV31 @ SV112 ) )
= $false )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1225,plain,
! [SV187: pi,SV115: pi,SV34: set_Pr1834926343_pi_pi] :
( ( ( ! [SY404: pi,SY405: pi,SY406: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY404 @ SY405 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY406 @ SY404 ) @ ( res @ SY406 @ SY405 ) ) @ SV34 ) ) )
= $false )
| ( ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1226,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
= $false )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1227,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( ( SV39 != SV191 )
| ( SV119 != SV249 ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1228,plain,
! [SV251: name,SV122: pi,SV194: name,SV42: name] :
( ( ( SV42 = SV194 )
= $true )
| ( ( fresh_name_pi @ SV42 @ ( subs @ SV122 @ SV251 @ SV194 ) )
= $true )
| ( ( fresh_name_pi @ SV42 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1229,plain,
! [SV129: set_Pr1834926343_pi_pi,SV49: pi,SV285: pi,SV254: late_freeRes,SV199: pi] :
( ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( ~ ! [SY827: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ SY827 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY827 @ SV285 ) @ SV129 ) ) )
= $true )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1230,plain,
! [SV286: name > name > $o,SV130: name,SV50: name,SV255: late_residual,SV200: pi] :
( ( ( ~ ( late_transitions @ SV200 @ SV255 )
| ( SV50 != SV130 )
| ( SV286 @ SV50 @ SV50 ) )
= $false )
| ( ( SV286 @ SV50 @ SV130 )
= $true )
| ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1231,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
= $false )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1232,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( ( SV51 != SV201 )
| ( SV131 != SV256 ) )
= $true )
| ( ( ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1233,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1234,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( ( SV55 != SV203 )
| ( SV133 != SV257 ) )
= $true )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1235,plain,
! [SV258: late_residual,SV204: pi,SV57: name,SV135: name] :
( ( ( ~ ~ ( ( SV135 != SV57 )
| ( SV204
!= ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1236,plain,
! [SV135: name,SV57: name,SV204: pi,SV258: late_residual] :
( ( ( ~ ( late_transitions @ ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) @ SV258 ) )
= $false )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1237,plain,
! [SV136: name,SV259: pi,SV205: name,SV58: name] :
( ( ( SV58 != SV205 )
= $false )
| ( ( ( subs @ ( res @ SV58 @ SV259 ) @ SV136 @ SV205 )
= ( res @ SV58 @ ( subs @ SV259 @ SV136 @ SV205 ) ) )
= $true )
| ( ( SV58 = SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1238,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1239,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( ( SV60 != SV207 )
| ( SV138 != SV260 ) )
= $true )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1240,plain,
! [SV70: pi,SV215: pi,SV264: late_freeRes > pi > $o,SV148: late_freeRes] :
( ( ( SV148 != late_TauR )
= $false )
| ( ( SV264 @ SV148 @ SV215 )
= $true )
| ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1241,plain,
! [SV148: late_freeRes,SV264: late_freeRes > pi > $o,SV215: pi,SV70: pi] :
( ( ( ( SV70 != SV215 )
| ( SV264 @ late_TauR @ SV70 ) )
= $false )
| ( ( SV264 @ SV148 @ SV215 )
= $true )
| ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1242,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( ! [SY839: name] :
( ~ ~ ( ~ ~ ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
| ( SV150 != SY839 ) )
| ( SV217
!= ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) ) )
| ~ ( late_transitions @ ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) @ SV266 )
| ( ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 )
= SY839 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1182]) ).
thf(1243,plain,
! [SV155: late_residual,SV77: pi,SV270: name,SV222: name] :
( ( ( SV222 = SV270 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV222 @ SV270 @ SV77 ) @ SV155 )
= $true )
| ( ( late_transitions @ SV77 @ SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1244,plain,
! [SV225: late_freeRes,SV272: pi,SV158: pi,SV80: name] :
( ( ( ! [SY840: pi,SY841: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY841 @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) ) )
| ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( res @ SY841 @ SY840 ) ) )
| ~ ( late_transitions @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) @ ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ SY840 ) )
| ~ ( fresh_1641682979reeRes @ SY841 @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1184]) ).
thf(1245,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( ! [SY547: late_freeRes,SY548: pi] : ( SV82 @ ( late_FreeR @ SY547 @ SY548 ) ) )
= $false )
| ( ( SV82 @ SV160 )
= $true )
| ( ( SV82 @ ( late_BoundR @ ( sK9_SY544 @ SV160 @ SV82 ) @ ( sK16_SY830 @ SV160 @ SV82 ) @ ( sK18_SY833 @ SV160 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1246,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1187]) ).
thf(1247,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1187]) ).
thf(1248,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV161 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV83 @ SV226 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1249,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
= $false )
| ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1250,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false )
| ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1251,plain,
! [SV175: name,SV238: pi,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1195]) ).
thf(1252,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1253,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1197]) ).
thf(1254,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1197]) ).
thf(1255,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1198]) ).
thf(1256,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1198]) ).
thf(1257,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1199]) ).
thf(1258,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1199]) ).
thf(1259,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1200]) ).
thf(1260,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1200]) ).
thf(1261,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1262,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1263,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1264,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1265,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1205]) ).
thf(1266,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1205]) ).
thf(1267,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1206]) ).
thf(1268,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1206]) ).
thf(1269,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1207]) ).
thf(1270,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1207]) ).
thf(1271,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1208]) ).
thf(1272,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1208]) ).
thf(1273,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1274,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1275,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1276,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1277,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1213]) ).
thf(1278,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1213]) ).
thf(1279,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1214]) ).
thf(1280,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1214]) ).
thf(1281,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1215]) ).
thf(1282,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1215]) ).
thf(1283,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1216]) ).
thf(1284,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1216]) ).
thf(1285,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1286,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1287,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1288,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1220]) ).
thf(1289,plain,
! [SV26: name,SV279: pi > $o,SV240: pi,SV179: late_freeRes,SV107: pi] :
( ( ( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ ( sK25_SY826 @ SV240 @ SV279 @ SV26 @ SV179 @ SV107 ) ) )
| ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SV279 @ ( res @ SV26 @ ( sK25_SY826 @ SV240 @ SV279 @ SV26 @ SV179 @ SV107 ) ) ) )
= $false )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1221]) ).
thf(1290,plain,
! [SV112: name,SV31: name,SV280: name > name > $o,SV243: late_residual,SV184: pi] :
( ( ( ~ ( late_transitions @ SV184 @ SV243 ) )
= $false )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1291,plain,
! [SV243: late_residual,SV184: pi,SV280: name > name > $o,SV112: name,SV31: name] :
( ( ( ~ ( ( SV31 != SV112 ) )
| ( SV280 @ SV31 @ SV112 ) )
= $false )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1292,plain,
! [SV34: set_Pr1834926343_pi_pi,SV115: pi,SV187: pi] :
( ( ( ! [SY842: pi,SY843: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) @ SY842 ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY843 @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) ) @ ( res @ SY843 @ SY842 ) ) @ SV34 ) ) )
= $false )
| ( ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1225]) ).
thf(1293,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
= $false )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1294,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
= $false )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1295,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( SV39 != SV191 )
= $true )
| ( ( SV119 != SV249 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1296,plain,
! [SV199: pi,SV129: set_Pr1834926343_pi_pi,SV285: pi,SV254: late_freeRes,SV49: pi] :
( ( ( ! [SY827: pi] :
~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ SY827 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY827 @ SV285 ) @ SV129 ) ) )
= $false )
| ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1297,plain,
! [SV130: name,SV50: name,SV286: name > name > $o,SV255: late_residual,SV200: pi] :
( ( ( ~ ( late_transitions @ SV200 @ SV255 ) )
= $false )
| ( ( SV286 @ SV50 @ SV130 )
= $true )
| ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1230]) ).
thf(1298,plain,
! [SV255: late_residual,SV200: pi,SV286: name > name > $o,SV130: name,SV50: name] :
( ( ( ( SV50 != SV130 )
| ( SV286 @ SV50 @ SV50 ) )
= $false )
| ( ( SV286 @ SV50 @ SV130 )
= $true )
| ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1230]) ).
thf(1299,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
= $false )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1300,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
= $false )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1301,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( SV51 != SV201 )
= $true )
| ( ( SV131 != SV256 )
= $true )
| ( ( ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1302,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1303,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1304,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( SV55 != SV203 )
= $true )
| ( ( SV133 != SV257 )
= $true )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1305,plain,
! [SV258: late_residual,SV204: pi,SV57: name,SV135: name] :
( ( ( ~ ( ( SV135 != SV57 )
| ( SV204
!= ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) ) ) )
= $true )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1235]) ).
thf(1306,plain,
! [SV135: name,SV57: name,SV204: pi,SV258: late_residual] :
( ( ( late_transitions @ ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) @ SV258 )
= $true )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1236]) ).
thf(1307,plain,
! [SV136: name,SV259: pi,SV205: name,SV58: name] :
( ( ( SV58 = SV205 )
= $true )
| ( ( ( subs @ ( res @ SV58 @ SV259 ) @ SV136 @ SV205 )
= ( res @ SV58 @ ( subs @ SV259 @ SV136 @ SV205 ) ) )
= $true )
| ( ( SV58 = SV136 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1308,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1309,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1310,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( SV60 != SV207 )
= $true )
| ( ( SV138 != SV260 )
= $true )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1239]) ).
thf(1311,plain,
! [SV70: pi,SV215: pi,SV264: late_freeRes > pi > $o,SV148: late_freeRes] :
( ( ( SV148 = late_TauR )
= $true )
| ( ( SV264 @ SV148 @ SV215 )
= $true )
| ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1312,plain,
! [SV148: late_freeRes,SV264: late_freeRes > pi > $o,SV215: pi,SV70: pi] :
( ( ( SV70 != SV215 )
= $false )
| ( ( SV264 @ SV148 @ SV215 )
= $true )
| ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1313,plain,
! [SV215: pi,SV148: late_freeRes,SV70: pi,SV264: late_freeRes > pi > $o] :
( ( ( SV264 @ late_TauR @ SV70 )
= $false )
| ( ( SV264 @ SV148 @ SV215 )
= $true )
| ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1314,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( ~ ~ ( ~ ~ ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
| ( SV150
!= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) )
| ( SV217
!= ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) ) )
| ~ ( late_transitions @ ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) @ SV266 )
| ( ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 )
= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1242]) ).
thf(1315,plain,
! [SV225: late_freeRes,SV272: pi,SV158: pi,SV80: name] :
( ( ( ! [SY844: name] :
( ( ( res @ SV80 @ SV158 )
!= ( res @ SY844 @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) ) )
| ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( res @ SY844 @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) ) )
| ~ ( late_transitions @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) @ ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
| ~ ( fresh_1641682979reeRes @ SY844 @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1244]) ).
thf(1316,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( ! [SY845: pi] : ( SV82 @ ( late_FreeR @ ( sK29_SY547 @ SV160 @ SV82 ) @ SY845 ) ) )
= $false )
| ( ( SV82 @ SV160 )
= $true )
| ( ( SV82 @ ( late_BoundR @ ( sK9_SY544 @ SV160 @ SV82 ) @ ( sK16_SY830 @ SV160 @ SV82 ) @ ( sK18_SY833 @ SV160 @ SV82 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1245]) ).
thf(1317,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $true )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1318,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
= $true )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1319,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV83 @ SV226 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1320,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $true )
| ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1321,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $true )
| ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1322,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
| ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1323,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1324,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1325,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1326,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1255]) ).
thf(1327,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1257]) ).
thf(1328,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1259]) ).
thf(1329,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1265]) ).
thf(1330,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1331,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1269]) ).
thf(1332,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1271]) ).
thf(1333,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1334,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1279]) ).
thf(1335,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1336,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1337,plain,
! [SV26: name,SV279: pi > $o,SV240: pi,SV179: late_freeRes,SV107: pi] :
( ( ( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ ( sK25_SY826 @ SV240 @ SV279 @ SV26 @ SV179 @ SV107 ) ) ) )
= $false )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1338,plain,
! [SV107: pi,SV240: pi,SV279: pi > $o,SV179: late_freeRes,SV26: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV26 @ SV179 )
| ( SV279 @ ( res @ SV26 @ ( sK25_SY826 @ SV240 @ SV279 @ SV26 @ SV179 @ SV107 ) ) ) )
= $false )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1339,plain,
! [SV112: name,SV31: name,SV280: name > name > $o,SV243: late_residual,SV184: pi] :
( ( ( late_transitions @ SV184 @ SV243 )
= $true )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1340,plain,
! [SV243: late_residual,SV184: pi,SV280: name > name > $o,SV112: name,SV31: name] :
( ( ( ~ ( ( SV31 != SV112 ) ) )
= $false )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1341,plain,
! [SV243: late_residual,SV184: pi,SV112: name,SV31: name,SV280: name > name > $o] :
( ( ( SV280 @ SV31 @ SV112 )
= $false )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1342,plain,
! [SV34: set_Pr1834926343_pi_pi,SV115: pi,SV187: pi] :
( ( ( ! [SY846: name] :
( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) @ ( sK30_SY842 @ SV34 @ SV115 @ SV187 ) ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ SY846 @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) ) @ ( res @ SY846 @ ( sK30_SY842 @ SV34 @ SV115 @ SV187 ) ) ) @ SV34 ) ) )
= $false )
| ( ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1292]) ).
thf(1343,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $true )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1344,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
= $true )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1345,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( SV39 = SV191 )
= $false )
| ( ( SV119 != SV249 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1346,plain,
! [SV285: pi,SV129: set_Pr1834926343_pi_pi,SV199: pi,SV254: late_freeRes,SV49: pi] :
( ( ( ~ ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) @ SV285 ) @ SV129 ) ) )
= $false )
| ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1296]) ).
thf(1347,plain,
! [SV130: name,SV50: name,SV286: name > name > $o,SV255: late_residual,SV200: pi] :
( ( ( late_transitions @ SV200 @ SV255 )
= $true )
| ( ( SV286 @ SV50 @ SV130 )
= $true )
| ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1297]) ).
thf(1348,plain,
! [SV255: late_residual,SV200: pi,SV286: name > name > $o,SV130: name,SV50: name] :
( ( ( SV50 != SV130 )
= $false )
| ( ( SV286 @ SV50 @ SV130 )
= $true )
| ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1349,plain,
! [SV255: late_residual,SV200: pi,SV130: name,SV50: name,SV286: name > name > $o] :
( ( ( SV286 @ SV50 @ SV50 )
= $false )
| ( ( SV286 @ SV50 @ SV130 )
= $true )
| ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1350,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $true )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1351,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
= $true )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1352,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( SV51 = SV201 )
= $false )
| ( ( SV131 != SV256 )
= $true )
| ( ( ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1353,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $true )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1354,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
= $true )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1303]) ).
thf(1355,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( SV55 = SV203 )
= $false )
| ( ( SV133 != SV257 )
= $true )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1356,plain,
! [SV258: late_residual,SV204: pi,SV57: name,SV135: name] :
( ( ( ( SV135 != SV57 )
| ( SV204
!= ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1357,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $true )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1308]) ).
thf(1358,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
= $true )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1359,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( SV60 = SV207 )
= $false )
| ( ( SV138 != SV260 )
= $true )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1360,plain,
! [SV148: late_freeRes,SV264: late_freeRes > pi > $o,SV215: pi,SV70: pi] :
( ( ( SV70 = SV215 )
= $true )
| ( ( SV264 @ SV148 @ SV215 )
= $true )
| ( ( late_transitions @ ( tau @ SV70 ) @ ( late_FreeR @ SV148 @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1361,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( ~ ~ ( ~ ~ ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
| ( SV150
!= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) )
| ( SV217
!= ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1362,plain,
! [SV72: name,SV150: name,SV217: pi,SV266: late_residual] :
( ( ( ~ ( late_transitions @ ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) @ SV266 )
| ( ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 )
= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1363,plain,
! [SV272: pi,SV225: late_freeRes,SV158: pi,SV80: name] :
( ( ( ( ( res @ SV80 @ SV158 )
!= ( res @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) ) )
| ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( res @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) ) )
| ~ ( late_transitions @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) @ ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1315]) ).
thf(1364,plain,
! [SV160: late_residual,SV82: late_residual > $o] :
( ( ( SV82 @ ( late_FreeR @ ( sK29_SY547 @ SV160 @ SV82 ) @ ( sK33_SY845 @ SV160 @ SV82 ) ) )
= $false )
| ( ( SV82 @ SV160 )
= $true )
| ( ( SV82 @ ( late_BoundR @ ( sK9_SY544 @ SV160 @ SV82 ) @ ( sK16_SY830 @ SV160 @ SV82 ) @ ( sK18_SY833 @ SV160 @ SV82 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1316]) ).
thf(1365,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1366,plain,
! [SV161: pi,SV226: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ SV226 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1367,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ! [SV294: name] :
( ( abs_fun_name_pi @ SV16 @ SV100 @ SV294 )
= ( abs_fun_name_pi @ SV175 @ SV238 @ SV294 ) ) )
= $true )
| ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1368,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $true )
| ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1369,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
!= ( res @ SV175 @ SV238 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1370,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
!= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1371,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1323]) ).
thf(1372,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1324]) ).
thf(1373,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1374,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1375,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1376,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1377,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1378,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1379,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1380,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1381,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1333]) ).
thf(1382,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1383,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1384,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1336]) ).
thf(1385,plain,
! [SV26: name,SV279: pi > $o,SV240: pi,SV179: late_freeRes,SV107: pi] :
( ( ( late_transitions @ SV107 @ ( late_FreeR @ SV179 @ ( sK25_SY826 @ SV240 @ SV279 @ SV26 @ SV179 @ SV107 ) ) )
= $true )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1337]) ).
thf(1386,plain,
! [SV107: pi,SV240: pi,SV279: pi > $o,SV179: late_freeRes,SV26: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV26 @ SV179 ) )
= $false )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1387,plain,
! [SV107: pi,SV179: late_freeRes,SV240: pi,SV26: name,SV279: pi > $o] :
( ( ( SV279 @ ( res @ SV26 @ ( sK25_SY826 @ SV240 @ SV279 @ SV26 @ SV179 @ SV107 ) ) )
= $false )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1388,plain,
! [SV243: late_residual,SV184: pi,SV280: name > name > $o,SV112: name,SV31: name] :
( ( ( SV31 != SV112 )
= $true )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1340]) ).
thf(1389,plain,
! [SV34: set_Pr1834926343_pi_pi,SV115: pi,SV187: pi] :
( ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) @ ( sK30_SY842 @ SV34 @ SV115 @ SV187 ) ) @ SV34 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ ( sK34_SY846 @ SV34 @ SV115 @ SV187 ) @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) ) @ ( res @ ( sK34_SY846 @ SV34 @ SV115 @ SV187 ) @ ( sK30_SY842 @ SV34 @ SV115 @ SV187 ) ) ) @ SV34 ) )
= $false )
| ( ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1342]) ).
thf(1390,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( ( SV39 != SV191 )
| ( SV119 != SV249 ) )
= $false )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1391,plain,
! [SV191: late_freeRes,SV39: late_freeRes,SV249: pi,SV119: pi] :
( ( ( SV119 = SV249 )
= $false )
| ( ( SV39 = SV191 )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1392,plain,
! [SV285: pi,SV129: set_Pr1834926343_pi_pi,SV199: pi,SV254: late_freeRes,SV49: pi] :
( ( ( ~ ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) @ SV285 ) @ SV129 ) ) )
= $true )
| ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1393,plain,
! [SV255: late_residual,SV200: pi,SV286: name > name > $o,SV130: name,SV50: name] :
( ( ( SV50 = SV130 )
= $true )
| ( ( SV286 @ SV50 @ SV130 )
= $true )
| ( ( late_transitions @ ( match @ SV50 @ SV130 @ SV200 ) @ SV255 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1348]) ).
thf(1394,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( ( SV51 != SV201 )
| ( SV131 != SV256 ) )
= $false )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1395,plain,
! [SV201: pi,SV51: pi,SV256: pi,SV131: pi] :
( ( ( SV131 = SV256 )
= $false )
| ( ( SV51 = SV201 )
= $false )
| ( ( ~ ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1396,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( ( SV55 != SV203 )
| ( SV133 != SV257 ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1397,plain,
! [SV203: pi,SV55: pi,SV257: pi,SV133: pi] :
( ( ( SV133 = SV257 )
= $false )
| ( ( SV55 = SV203 )
= $false )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1398,plain,
! [SV258: late_residual,SV204: pi,SV57: name,SV135: name] :
( ( ( SV135 != SV57 )
= $false )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1356]) ).
thf(1399,plain,
! [SV135: name,SV57: name,SV258: late_residual,SV204: pi] :
( ( ( SV204
!= ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) )
= $false )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1356]) ).
thf(1400,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( ( SV60 != SV207 )
| ( SV138 != SV260 ) )
= $false )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1401,plain,
! [SV207: pi,SV60: pi,SV260: pi,SV138: pi] :
( ( ( SV138 = SV260 )
= $false )
| ( ( SV60 = SV207 )
= $false )
| ( ( ~ ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1402,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( ~ ( ~ ~ ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
| ( SV150
!= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) )
| ( SV217
!= ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1403,plain,
! [SV72: name,SV150: name,SV217: pi,SV266: late_residual] :
( ( ( ~ ( late_transitions @ ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) @ SV266 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1404,plain,
! [SV72: name,SV150: name,SV217: pi,SV266: late_residual] :
( ( ( ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 )
= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1405,plain,
! [SV272: pi,SV225: late_freeRes,SV158: pi,SV80: name] :
( ( ( ( res @ SV80 @ SV158 )
!= ( res @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1406,plain,
! [SV80: name,SV158: pi,SV272: pi,SV225: late_freeRes] :
( ( ( ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( res @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) ) )
| ~ ( late_transitions @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) @ ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1407,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV161 ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1408,plain,
! [SV161: pi,SV226: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV226 ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1409,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1410,plain,
! [SV238: pi,SV175: name,SV295: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ SV295 )
= ( abs_fun_name_pi @ SV175 @ SV238 @ SV295 ) )
= $true )
| ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1411,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( res @ SV16 @ SV100 )
= ( res @ SV175 @ SV238 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1412,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1413,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ! [SV296: name] :
( ( abs_fun_name_pi @ SV16 @ SV100 @ SV296 )
= ( abs_fun_name_pi @ SV175 @ SV238 @ SV296 ) ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1372]) ).
thf(1414,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1372]) ).
thf(1415,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1416,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1417,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1374]) ).
thf(1418,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1374]) ).
thf(1419,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1420,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1421,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1376]) ).
thf(1422,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1376]) ).
thf(1423,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1424,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1425,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1426,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1427,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1428,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1429,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1430,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1431,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1432,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1433,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1382]) ).
thf(1434,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1382]) ).
thf(1435,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1436,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1437,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1438,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1439,plain,
! [SV107: pi,SV240: pi,SV279: pi > $o,SV179: late_freeRes,SV26: name] :
( ( ( fresh_1641682979reeRes @ SV26 @ SV179 )
= $true )
| ( ( SV279 @ SV240 )
= $true )
| ( ( late_transitions @ ( res @ SV26 @ SV107 ) @ ( late_FreeR @ SV179 @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1440,plain,
! [SV243: late_residual,SV184: pi,SV280: name > name > $o,SV112: name,SV31: name] :
( ( ( SV31 = SV112 )
= $false )
| ( ( SV280 @ SV31 @ SV112 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV31 @ SV112 @ SV184 ) @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1441,plain,
! [SV34: set_Pr1834926343_pi_pi,SV115: pi,SV187: pi] :
( ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) @ ( sK30_SY842 @ SV34 @ SV115 @ SV187 ) ) @ SV34 ) )
= $false )
| ( ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1442,plain,
! [SV187: pi,SV115: pi,SV34: set_Pr1834926343_pi_pi] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ ( sK34_SY846 @ SV34 @ SV115 @ SV187 ) @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) ) @ ( res @ ( sK34_SY846 @ SV34 @ SV115 @ SV187 ) @ ( sK30_SY842 @ SV34 @ SV115 @ SV187 ) ) ) @ SV34 )
= $false )
| ( ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1443,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( SV39 != SV191 )
= $false )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1444,plain,
! [SV191: late_freeRes,SV39: late_freeRes,SV249: pi,SV119: pi] :
( ( ( SV119 != SV249 )
= $false )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1445,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
| ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
= $false )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1446,plain,
! [SV285: pi,SV129: set_Pr1834926343_pi_pi,SV199: pi,SV254: late_freeRes,SV49: pi] :
( ( ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) @ SV285 ) @ SV129 ) )
= $false )
| ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1447,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( SV51 != SV201 )
= $false )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1448,plain,
! [SV201: pi,SV51: pi,SV256: pi,SV131: pi] :
( ( ( SV131 != SV256 )
= $false )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1449,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
| ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
= $false )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1450,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( SV55 != SV203 )
= $false )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1451,plain,
! [SV203: pi,SV55: pi,SV257: pi,SV133: pi] :
( ( ( SV133 != SV257 )
= $false )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1452,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
| ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
= $false )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1453,plain,
! [SV258: late_residual,SV204: pi,SV57: name,SV135: name] :
( ( ( SV135 = SV57 )
= $true )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1398]) ).
thf(1454,plain,
! [SV135: name,SV57: name,SV258: late_residual,SV204: pi] :
( ( ( SV204
= ( sK19_SY811 @ SV258 @ SV204 @ SV57 @ SV135 ) )
= $true )
| ( ( late_transitions @ ( match @ SV57 @ SV135 @ SV204 ) @ SV258 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1399]) ).
thf(1455,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( SV60 != SV207 )
= $false )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1456,plain,
! [SV207: pi,SV60: pi,SV260: pi,SV138: pi] :
( ( ( SV138 != SV260 )
= $false )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1457,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
| ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
= $false )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1458,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( ~ ~ ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
| ( SV150
!= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) )
| ( SV217
!= ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1459,plain,
! [SV72: name,SV150: name,SV217: pi,SV266: late_residual] :
( ( ( late_transitions @ ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) @ SV266 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1403]) ).
thf(1460,plain,
! [SV272: pi,SV225: late_freeRes,SV158: pi,SV80: name] :
( ( ( ( res @ SV80 @ SV158 )
= ( res @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1405]) ).
thf(1461,plain,
! [SV80: name,SV158: pi,SV272: pi,SV225: late_freeRes] :
( ( ( ( late_FreeR @ SV225 @ SV272 )
!= ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( res @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1462,plain,
! [SV80: name,SV158: pi,SV225: late_freeRes,SV272: pi] :
( ( ( ~ ( late_transitions @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) @ ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1463,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ SV161 )
= $true )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1464,plain,
! [SV161: pi,SV226: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ SV226 )
= $true )
| ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1408]) ).
thf(1465,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1409]) ).
thf(1466,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1409]) ).
thf(1467,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ! [SV297: name] :
( ( abs_fun_name_pi @ SV16 @ SV100 @ SV297 )
= ( abs_fun_name_pi @ SV175 @ SV238 @ SV297 ) ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1412]) ).
thf(1468,plain,
! [SV238: pi,SV175: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1412]) ).
thf(1469,plain,
! [SV238: pi,SV175: name,SV298: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ SV298 )
= ( abs_fun_name_pi @ SV175 @ SV238 @ SV298 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 )
= ( abs_fun_name_pi @ SV175 @ SV238 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1470,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1471,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1472,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1473,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1474,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1475,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1476,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1477,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1478,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1479,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1424]) ).
thf(1480,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1481,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1482,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1483,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1484,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1485,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1486,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1487,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1488,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1489,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1490,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1491,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1492,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1493,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1494,plain,
! [SV34: set_Pr1834926343_pi_pi,SV115: pi,SV187: pi] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK26_SY404 @ SV187 @ SV115 @ SV34 ) @ ( sK30_SY842 @ SV34 @ SV115 @ SV187 ) ) @ SV34 )
= $true )
| ( ( strong743114133lation @ ( par @ SV115 @ SV187 ) @ SV34 @ ( par @ SV187 @ SV115 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) ) @ ( par @ ( sK17_SY832 @ SV34 @ SV115 @ SV187 ) @ ( sK11_SY402 @ SV187 @ SV115 @ SV34 ) ) ) @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1495,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( SV39 = SV191 )
= $true )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1496,plain,
! [SV191: late_freeRes,SV39: late_freeRes,SV249: pi,SV119: pi] :
( ( ( SV119 = SV249 )
= $true )
| ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1497,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( late_FreeR @ SV39 @ SV119 )
!= ( late_FreeR @ SV191 @ SV249 ) )
= $false )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1498,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( ~ ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
= $false )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1499,plain,
! [SV285: pi,SV129: set_Pr1834926343_pi_pi,SV199: pi,SV254: late_freeRes,SV49: pi] :
( ( ( ~ ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) ) ) )
= $false )
| ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1500,plain,
! [SV49: pi,SV254: late_freeRes,SV285: pi,SV129: set_Pr1834926343_pi_pi,SV199: pi] :
( ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) @ SV285 ) @ SV129 ) )
= $false )
| ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1501,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( SV51 = SV201 )
= $true )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1502,plain,
! [SV201: pi,SV51: pi,SV256: pi,SV131: pi] :
( ( ( SV131 = SV256 )
= $true )
| ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1503,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( par @ SV51 @ SV131 )
!= ( par @ SV201 @ SV256 ) )
= $false )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1449]) ).
thf(1504,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( ~ ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
= $false )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1449]) ).
thf(1505,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( SV55 = SV203 )
= $true )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1506,plain,
! [SV203: pi,SV55: pi,SV257: pi,SV133: pi] :
( ( ( SV133 = SV257 )
= $true )
| ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1507,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
!= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $false )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1452]) ).
thf(1508,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( ~ ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
= $false )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1452]) ).
thf(1509,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( SV60 = SV207 )
= $true )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1510,plain,
! [SV207: pi,SV60: pi,SV260: pi,SV138: pi] :
( ( ( SV138 = SV260 )
= $true )
| ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1511,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
!= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $false )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1512,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( ~ ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
= $false )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1513,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( ~ ~ ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
| ( SV150
!= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1514,plain,
! [SV72: name,SV150: name,SV266: late_residual,SV217: pi] :
( ( ( SV217
!= ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1515,plain,
! [SV80: name,SV158: pi,SV272: pi,SV225: late_freeRes] :
( ( ( ( late_FreeR @ SV225 @ SV272 )
= ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( res @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1516,plain,
! [SV80: name,SV158: pi,SV225: late_freeRes,SV272: pi] :
( ( ( ~ ( late_transitions @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) @ ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1517,plain,
! [SV80: name,SV158: pi,SV272: pi,SV225: late_freeRes] :
( ( ( ~ ( fresh_1641682979reeRes @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1518,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ ( par @ SV161 @ SV226 ) )
= $true )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1519,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) ) )
= $true )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1520,plain,
! [SV238: pi,SV175: name,SV299: name,SV100: pi,SV16: name] :
( ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ SV299 )
= ( abs_fun_name_pi @ SV175 @ SV238 @ SV299 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV16 @ SV100 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) )
= ( abs_fun_name_pi @ SV175 @ SV238 @ ( sK24_SV293 @ SV238 @ SV175 @ SV100 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1521,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1522,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1523,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1471]) ).
thf(1524,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1471]) ).
thf(1525,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1526,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1527,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1528,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1529,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1530,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1531,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1532,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1533,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1534,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1535,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1536,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1537,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1538,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1539,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1479]) ).
thf(1540,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1479]) ).
thf(1541,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1542,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1543,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1544,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1545,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1546,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1547,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1483]) ).
thf(1548,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1483]) ).
thf(1549,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1550,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1551,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1552,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1553,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1554,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1555,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1556,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1557,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1558,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1559,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1489]) ).
thf(1560,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1489]) ).
thf(1561,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1562,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1563,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1564,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1565,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1492]) ).
thf(1566,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1492]) ).
thf(1567,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1493]) ).
thf(1568,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1493]) ).
thf(1569,plain,
! [SV249: pi,SV191: late_freeRes,SV119: pi,SV39: late_freeRes] :
( ( ( ( late_FreeR @ SV39 @ SV119 )
= ( late_FreeR @ SV191 @ SV249 ) )
= $true )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1570,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( ~ ( ( SV39 != SV191 )
| ( SV119 != SV249 ) ) )
= $true )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1571,plain,
! [SV285: pi,SV129: set_Pr1834926343_pi_pi,SV199: pi,SV254: late_freeRes,SV49: pi] :
( ( ( late_transitions @ SV49 @ ( late_FreeR @ SV254 @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) ) )
= $true )
| ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1499]) ).
thf(1572,plain,
! [SV49: pi,SV254: late_freeRes,SV285: pi,SV129: set_Pr1834926343_pi_pi,SV199: pi] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( sK31_SY827 @ SV199 @ SV129 @ SV285 @ SV254 @ SV49 ) @ SV285 ) @ SV129 )
= $true )
| ( ( late_transitions @ SV199 @ ( late_FreeR @ SV254 @ SV285 ) )
= $false )
| ( ( strong743114133lation @ SV49 @ SV129 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1500]) ).
thf(1573,plain,
! [SV256: pi,SV201: pi,SV131: pi,SV51: pi] :
( ( ( ( par @ SV51 @ SV131 )
= ( par @ SV201 @ SV256 ) )
= $true )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1503]) ).
thf(1574,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( ~ ( ( SV51 != SV201 )
| ( SV131 != SV256 ) ) )
= $true )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1504]) ).
thf(1575,plain,
! [SV257: pi,SV203: pi,SV133: pi,SV55: pi] :
( ( ( ( product_Pair_pi_pi @ SV55 @ SV133 )
= ( product_Pair_pi_pi @ SV203 @ SV257 ) )
= $true )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1507]) ).
thf(1576,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( ~ ( ( SV55 != SV203 )
| ( SV133 != SV257 ) ) )
= $true )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1508]) ).
thf(1577,plain,
! [SV260: pi,SV207: pi,SV138: pi,SV60: pi] :
( ( ( ( product_Pair_pi_pi @ SV60 @ SV138 )
= ( product_Pair_pi_pi @ SV207 @ SV260 ) )
= $true )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1511]) ).
thf(1578,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( ~ ( ( SV60 != SV207 )
| ( SV138 != SV260 ) ) )
= $true )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1579,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( ~ ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
| ( SV150
!= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1513]) ).
thf(1580,plain,
! [SV72: name,SV150: name,SV266: late_residual,SV217: pi] :
( ( ( SV217
= ( sK20_SY814 @ SV266 @ SV217 @ SV150 @ SV72 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1514]) ).
thf(1581,plain,
! [SV80: name,SV158: pi,SV225: late_freeRes,SV272: pi] :
( ( ( late_transitions @ ( sK21_SY818 @ SV272 @ SV225 @ SV158 @ SV80 ) @ ( late_FreeR @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK28_SY840 @ SV225 @ SV272 @ SV158 @ SV80 ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1582,plain,
! [SV80: name,SV158: pi,SV272: pi,SV225: late_freeRes] :
( ( ( fresh_1641682979reeRes @ ( sK32_SY844 @ SV225 @ SV272 @ SV158 @ SV80 ) @ ( sK23_SY836 @ SV225 @ SV272 @ SV158 @ SV80 ) )
= $true )
| ( ( late_transitions @ ( res @ SV80 @ SV158 ) @ ( late_FreeR @ SV225 @ SV272 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1583,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV161 )
| ~ ( fresh_name_pi @ SV83 @ SV226 ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1584,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1585,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1586,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1523]) ).
thf(1587,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1524]) ).
thf(1588,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1589,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1590,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1591,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1592,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1593,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1594,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1595,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1596,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1597,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1534]) ).
thf(1598,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1599,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1600,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1537]) ).
thf(1601,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1602,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1539]) ).
thf(1603,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1540]) ).
thf(1604,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1605,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1606,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1607,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1608,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1609,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1610,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1611,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1612,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1613,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1614,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1615,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1616,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1617,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1618,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1619,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1620,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1621,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1622,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1559]) ).
thf(1623,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1624,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1625,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1626,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1563]) ).
thf(1627,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1628,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1629,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1630,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1631,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1632,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( ( SV39 != SV191 )
| ( SV119 != SV249 ) )
= $false )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1633,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( ( SV51 != SV201 )
| ( SV131 != SV256 ) )
= $false )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1634,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( ( SV55 != SV203 )
| ( SV133 != SV257 ) )
= $false )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1635,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( ( SV60 != SV207 )
| ( SV138 != SV260 ) )
= $false )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1636,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
| ( SV150
!= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1637,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV161 ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1638,plain,
! [SV161: pi,SV226: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV226 ) )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1639,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( SV39 != SV191 )
= $false )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1640,plain,
! [SV191: late_freeRes,SV39: late_freeRes,SV249: pi,SV119: pi] :
( ( ( SV119 != SV249 )
= $false )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1641,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( SV51 != SV201 )
= $false )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1642,plain,
! [SV201: pi,SV51: pi,SV256: pi,SV131: pi] :
( ( ( SV131 != SV256 )
= $false )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1643,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( SV55 != SV203 )
= $false )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1644,plain,
! [SV203: pi,SV55: pi,SV257: pi,SV133: pi] :
( ( ( SV133 != SV257 )
= $false )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1645,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( SV60 != SV207 )
= $false )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1646,plain,
! [SV207: pi,SV60: pi,SV260: pi,SV138: pi] :
( ( ( SV138 != SV260 )
= $false )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1647,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( SV72
!= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1648,plain,
! [SV72: name,SV266: late_residual,SV217: pi,SV150: name] :
( ( ( SV150
!= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1649,plain,
! [SV226: pi,SV161: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ SV161 )
= $true )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1637]) ).
thf(1650,plain,
! [SV161: pi,SV226: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ SV226 )
= $true )
| ( ( fresh_name_pi @ SV83 @ SV161 )
= $false )
| ( ( fresh_name_pi @ SV83 @ SV226 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1638]) ).
thf(1651,plain,
! [SV249: pi,SV119: pi,SV191: late_freeRes,SV39: late_freeRes] :
( ( ( SV39 = SV191 )
= $true )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1652,plain,
! [SV191: late_freeRes,SV39: late_freeRes,SV249: pi,SV119: pi] :
( ( ( SV119 = SV249 )
= $true )
| ( ( SV39 = SV191 )
= $false )
| ( ( SV119 = SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1640]) ).
thf(1653,plain,
! [SV256: pi,SV131: pi,SV201: pi,SV51: pi] :
( ( ( SV51 = SV201 )
= $true )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1654,plain,
! [SV201: pi,SV51: pi,SV256: pi,SV131: pi] :
( ( ( SV131 = SV256 )
= $true )
| ( ( SV51 = SV201 )
= $false )
| ( ( SV131 = SV256 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1642]) ).
thf(1655,plain,
! [SV257: pi,SV133: pi,SV203: pi,SV55: pi] :
( ( ( SV55 = SV203 )
= $true )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1643]) ).
thf(1656,plain,
! [SV203: pi,SV55: pi,SV257: pi,SV133: pi] :
( ( ( SV133 = SV257 )
= $true )
| ( ( SV55 = SV203 )
= $false )
| ( ( SV133 = SV257 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1644]) ).
thf(1657,plain,
! [SV260: pi,SV138: pi,SV207: pi,SV60: pi] :
( ( ( SV60 = SV207 )
= $true )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1645]) ).
thf(1658,plain,
! [SV207: pi,SV60: pi,SV260: pi,SV138: pi] :
( ( ( SV138 = SV260 )
= $true )
| ( ( SV60 = SV207 )
= $false )
| ( ( SV138 = SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1659,plain,
! [SV150: name,SV217: pi,SV266: late_residual,SV72: name] :
( ( ( SV72
= ( sK22_SY834 @ SV266 @ SV217 @ SV150 @ SV72 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1660,plain,
! [SV72: name,SV266: late_residual,SV217: pi,SV150: name] :
( ( ( SV150
= ( sK27_SY839 @ SV150 @ SV217 @ SV266 @ SV72 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV72 @ SV150 @ SV217 ) @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1661,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[432,1660,1659,1658,1657,1656,1655,1654,1653,1652,1651,1650,1649,1631,1630,1629,1628,1627,1626,1625,1624,1623,1622,1621,1620,1619,1618,1617,1616,1615,1614,1613,1612,1611,1610,1609,1608,1607,1606,1605,1604,1603,1602,1601,1600,1599,1598,1597,1596,1595,1594,1593,1592,1591,1590,1589,1588,1587,1586,1585,1584,1582,1581,1580,1577,1575,1573,1572,1571,1569,1520,1518,1515,1510,1509,1506,1505,1502,1501,1496,1495,1494,1469,1468,1464,1463,1460,1459,1454,1453,1442,1440,1439,1414,1411,1410,1404,1393,1387,1385,1371,1368,1364,1360,1357,1353,1350,1349,1347,1343,1341,1339,1320,1317,1313,1311,1307,1306,1288,1287,1286,1285,1284,1282,1280,1278,1276,1275,1274,1273,1272,1270,1268,1266,1264,1263,1262,1261,1260,1258,1256,1254,1243,1228,1223,1222,1193,1192,1191,1190,1189,1185,1180,1179,1178,1177,1166,1158,1109,1090,1086,1085,1079,1078,1077,1075,1073,1072,1068,1067,1062,1058,1056,1054,1052,1049,1048,1044,1042,1030,1029,1025,1018,1014,1005,1001,999,996,993,992,985,982,981,979,978,970,959,955,954,953,946,941,929,917,889,886,883,880,879,870,847,837,829,828,798,796,791,787,784,712,711,710,700,699,692,664,639,618,611,609,457,456,448,447,446,445,444,443,442,441,440,439,438]) ).
thf(1662,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1661]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP187^1 : 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
% 0.06/0.18 % Computer : n017.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 11:15:00 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.71/2.16 ...
% 11.71/2.16
% 11.71/2.16 No.of.Axioms: 104
% 11.71/2.16
% 11.71/2.16 Length.of.Defs: 0
% 11.71/2.16
% 11.71/2.16 Contains.Choice.Funs: false
% 11.71/2.16 ...........................................
% 11.71/2.16
% 11.71/2.16 ********************************
% 11.71/2.16 * All subproblems solved! *
% 11.71/2.16 ********************************
% 11.71/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:104,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:1661,loop_count:0,foatp_calls:1,translation:fof_full)
% 11.71/2.16
% 11.71/2.16 %**** Beginning of derivation protocol ****
% 11.71/2.16 % SZS output start CNFRefutation
% See solution above
% 11.71/2.18
% 11.71/2.18 %**** End of derivation protocol ****
% 11.71/2.18 %**** no. of clauses in derivation: 1443 ****
% 11.71/2.18 %**** clause counter: 1661 ****
% 11.71/2.18
% 11.71/2.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:104,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:1661,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------