%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP183^1 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:40 AM UTC 2026
% Result : Theorem 4.30s 0.97s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 48
% Syntax : Number of formulae : 586 ( 349 unt; 0 typ; 0 def)
% Number of atoms : 3039 (1542 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 6804 (1047 ~; 715 |; 15 &;4928 @)
% ( 0 <=>; 99 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 32 ( 31 usr)
% Number of type conns : 75 ( 75 >; 0 *; 0 +; 0 <<)
% Number of symbols : 103 ( 100 usr; 13 con; 0-5 aty)
% Number of variables : 2329 ( 0 ^;2329 !; 0 ?;2329 :)
% 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_Pr1294453099i_name,type,
set_Pr1294453099i_name: $tType ).
thf(tp_set_Pr1569510577ion_pi,type,
set_Pr1569510577ion_pi: $tType ).
thf(tp_set_Pr1694908217_pi_pi,type,
set_Pr1694908217_pi_pi: $tType ).
thf(tp_set_Pr1834926343_pi_pi,type,
set_Pr1834926343_pi_pi: $tType ).
thf(tp_set_Pr248416762ubject,type,
set_Pr248416762ubject: $tType ).
thf(tp_set_Pr305743074reeRes,type,
set_Pr305743074reeRes: $tType ).
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_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_id_name_noption_pi,type,
id_name_noption_pi: set_Pr1569510577ion_pi ).
thf(tp_id_pi,type,
id_pi: set_Pr1834926343_pi_pi ).
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_member1353687244i_name,type,
member1353687244i_name: produc405342261i_name > set_Pr1294453099i_name > $o ).
thf(tp_member1632198138ion_pi,type,
member1632198138ion_pi: produc1462499409ion_pi > set_Pr1569510577ion_pi > $o ).
thf(tp_member2081207979reeRes,type,
member2081207979reeRes: produc1834551554reeRes > set_Pr305743074reeRes > $o ).
thf(tp_member558706512_pi_pi,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(tp_member772629402_pi_pi,type,
member772629402_pi_pi: produc629157763_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(tp_member938018755ubject,type,
member938018755ubject: produc691362330ubject > set_Pr248416762ubject > $o ).
thf(tp_mismatch,type,
mismatch: name > name > pi > pi ).
thf(tp_ord_le1032043601ion_pi,type,
ord_le1032043601ion_pi: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > $o ).
thf(tp_ord_le1705144730ubject,type,
ord_le1705144730ubject: set_Pr248416762ubject > set_Pr248416762ubject > $o ).
thf(tp_ord_le1762471042reeRes,type,
ord_le1762471042reeRes: set_Pr305743074reeRes > set_Pr305743074reeRes > $o ).
thf(tp_ord_le1854926745_pi_pi,type,
ord_le1854926745_pi_pi: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(tp_ord_le2082425291i_name,type,
ord_le2082425291i_name: set_Pr1294453099i_name > set_Pr1294453099i_name > $o ).
thf(tp_ord_le630093991_pi_pi,type,
ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(tp_output,type,
output: name > name > pi > pi ).
thf(tp_p,type,
p: pi ).
thf(tp_par,type,
par: pi > pi > pi ).
thf(tp_piNil,type,
piNil: pi ).
thf(tp_pq,type,
pq: 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_rel,type,
rel: set_Pr1834926343_pi_pi ).
thf(tp_res,type,
res: name > pi > pi ).
thf(tp_sK10_SY220,type,
sK10_SY220: late_residual > ( late_residual > $o ) > late_freeRes ).
thf(tp_sK11_SY457,type,
sK11_SY457: name > pi > late_residual > name > name ).
thf(tp_sK12_SY448,type,
sK12_SY448: pi > ( pi > $o ) > name > late_freeRes > pi > pi ).
thf(tp_sK13_SY458,type,
sK13_SY458: late_freeRes > pi > pi > name > name ).
thf(tp_sK14_SY459,type,
sK14_SY459: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK1_SY217,type,
sK1_SY217: late_residual > ( late_residual > $o ) > late_subject ).
thf(tp_sK2_SY446,type,
sK2_SY446: late_residual > ( late_residual > $o ) > name ).
thf(tp_sK3_SY449,type,
sK3_SY449: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK4_SY431,type,
sK4_SY431: pi > late_freeRes > pi > name > pi ).
thf(tp_sK5_SY435,type,
sK5_SY435: late_residual > pi > name > name > pi ).
thf(tp_sK6_SY450,type,
sK6_SY450: late_freeRes > pi > pi > name > late_freeRes ).
thf(tp_sK7_SY453,type,
sK7_SY453: late_residual > pi > name > name > name ).
thf(tp_sK8_SV156,type,
sK8_SV156: pi > name > pi > name > name ).
thf(tp_sK9_SY455,type,
sK9_SY455: late_freeRes > pi > pi > name > pi ).
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_sum,type,
sum: pi > pi > pi ).
thf(tp_tau,type,
tau: pi > pi ).
thf(tp_x,type,
x: name ).
thf(2,axiom,
! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( mismatch @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_311_pi_Odistinct_I75_J) ).
thf(3,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_310_Mismatch) ).
thf(4,axiom,
! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A3: name,B5: name] :
( ( ( A = A3 )
& ( B = B5 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A3 = B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309_mismatchCases_H) ).
thf(5,axiom,
! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_mismatchTrans) ).
thf(6,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_307_mismatchCases) ).
thf(19,axiom,
! [X1: name,X2: pi,Y1: name,Y22: pi] :
( ( ( res @ X1 @ X2 )
= ( res @ Y1 @ Y22 ) )
= ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_pi_Oinject_I8_J) ).
thf(22,axiom,
! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_pi_Odistinct_I45_J) ).
thf(24,axiom,
! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_pi_Odistinct_I41_J) ).
thf(149,axiom,
! [P: pi,Q: pi,C2: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C2 @ D )
= ( sum @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_simps_I7_J) ).
thf(152,axiom,
! [X: name,C2: name,D: name,P: pi] :
( ( X != C2 )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C2 @ D )
= ( res @ X @ ( subs @ P @ C2 @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_simps_I9_J) ).
thf(219,axiom,
! [P: pi,Alpha: late_freeRes,P3: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P3 @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_Par1F) ).
thf(224,axiom,
! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_pi_Odistinct_I27_J) ).
thf(225,axiom,
! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_pi_Odistinct_I31_J) ).
thf(230,axiom,
! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_pi_Odistinct_I79_J) ).
thf(231,axiom,
! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject @ Name3 @ Pi4 ) )
=> ( ! [FreeRes: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi4 ) )
=> ( P @ Residual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_residual_Oinducts) ).
thf(232,axiom,
! [Subject2: late_subject,Name4: name,Pi3: pi,FreeRes2: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject2 @ Name4 @ Pi3 )
!= ( late_FreeR @ FreeRes2 @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_residual_Odistinct_I1_J) ).
thf(233,axiom,
! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_freshRes) ).
thf(234,axiom,
! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_pi_Odistinct_I85_J) ).
thf(265,axiom,
! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( sum @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_pi_Ofresh_I7_J) ).
thf(267,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_46_Par2F) ).
thf(276,axiom,
! [P: pi,Alpha: late_freeRes,P3: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_name_pi @ Y2 @ P )
=> ( fresh_name_pi @ Y2 @ P3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_freshFreeDerivative_I2_J) ).
thf(278,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_35_resTrans_I1_J) ).
thf(283,axiom,
! [A: name,X: name,P: pi,Alpha: late_freeRes,P3: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_inputFreeTrans) ).
thf(284,axiom,
! [X: name,Y2: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( input @ X @ Y2 @ P ) ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_resTrans_I2_J) ).
thf(285,axiom,
! [Pi12: pi,Pi22: pi] :
( piNil
!= ( sum @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_pi_Odistinct_I11_J) ).
thf(286,axiom,
! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_pi_Odistinct_I15_J) ).
thf(287,axiom,
! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_pi_Odistinct_I53_J) ).
thf(288,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_nilCases_H) ).
thf(289,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_zeroTrans) ).
thf(290,axiom,
! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_pi_Odistinct_I57_J) ).
thf(296,axiom,
! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_resZeroTrans) ).
thf(297,axiom,
! [X: name,A: name,Y2: name,P: pi,Alpha: late_freeRes,P3: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y2 @ P ) ) @ ( late_FreeR @ Alpha @ P3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_resInputFreeTrans) ).
thf(298,axiom,
! [X2: late_freeRes,X1: pi,Y22: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_residual_Oinject_I2_J) ).
thf(299,axiom,
! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
( ( ( sum @ X2 @ X1 )
= ( sum @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_pi_Oinject_I6_J) ).
thf(300,axiom,
! [P: pi,Alpha: late_freeRes,P3: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_1641682979reeRes @ Y2 @ Alpha )
=> ( late_transitions @ ( res @ Y2 @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y2 @ P3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_ResF) ).
thf(301,axiom,
! [X: name,P: pi,Alpha: late_freeRes,P3: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P2: pi,Y: name] :
( ( ( res @ X @ P )
= ( res @ Y @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P3 )
= ( late_FreeR @ Alpha2 @ ( res @ Y @ P2 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P2 ) )
=> ~ ( fresh_1641682979reeRes @ Y @ Alpha2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_resCasesF_H) ).
thf(302,axiom,
! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P2: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P2 ) ) ) )
=> ( F @ XP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_resCasesF) ).
thf(303,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_10_Sum2) ).
thf(304,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_9_Sum1) ).
thf(305,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_8_sumCases_H) ).
thf(306,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_7_sumCases) ).
thf(307,axiom,
! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_pi_Odistinct_I81_J) ).
thf(308,axiom,
late_transitions @ ( sum @ ( res @ x @ p ) @ ( res @ x @ q ) ) @ ( late_FreeR @ alpha @ pq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_Free_Ohyps) ).
thf(309,axiom,
late_transitions @ ( res @ x @ q ) @ ( late_FreeR @ alpha @ pq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cSum2_Ohyps) ).
thf(310,axiom,
late_transitions @ q @ ( late_FreeR @ alpha @ q2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_cRes_Ohyps_I1_J) ).
thf(311,axiom,
late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062P_A_092_060oplus_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AQ_H_092_060close_062) ).
thf(313,axiom,
fresh_1641682979reeRes @ x @ alpha,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cRes_Ohyps_I2_J) ).
thf(314,conjecture,
late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(315,negated_conjecture,
( ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[314]) ).
thf(316,plain,
( ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[315]) ).
thf(317,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( mismatch @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(318,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)],[3]) ).
thf(319,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A3: name,B5: name] :
( ( ( A = A3 )
& ( B = B5 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A3 = B5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(320,plain,
( ( ! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(321,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)],[6]) ).
thf(322,plain,
( ( ! [X1: name,X2: pi,Y1: name,Y22: pi] :
( ( ( res @ X1 @ X2 )
= ( res @ Y1 @ Y22 ) )
= ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(323,plain,
( ( ! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(324,plain,
( ( ! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(325,plain,
( ( ! [P: pi,Q: pi,C2: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C2 @ D )
= ( sum @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(326,plain,
( ( ! [X: name,C2: name,D: name,P: pi] :
( ( X != C2 )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C2 @ D )
= ( res @ X @ ( subs @ P @ C2 @ D ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(327,plain,
( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P3 @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(328,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(329,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(330,plain,
( ( ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(331,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject @ Name3 @ Pi4 ) )
=> ( ! [FreeRes: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi4 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(332,plain,
( ( ! [Subject2: late_subject,Name4: name,Pi3: pi,FreeRes2: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject2 @ Name4 @ Pi3 )
!= ( late_FreeR @ FreeRes2 @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(333,plain,
( ( ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(334,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(335,plain,
( ( ! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( sum @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(336,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)],[267]) ).
thf(337,plain,
( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_name_pi @ Y2 @ P )
=> ( fresh_name_pi @ Y2 @ P3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(338,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)],[278]) ).
thf(339,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P3: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(340,plain,
( ( ! [X: name,Y2: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( input @ X @ Y2 @ P ) ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(341,plain,
( ( ! [Pi12: pi,Pi22: pi] :
( piNil
!= ( sum @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(342,plain,
( ( ! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(343,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(344,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(345,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(346,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(347,plain,
( ( ! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(348,plain,
( ( ! [X: name,A: name,Y2: name,P: pi,Alpha: late_freeRes,P3: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y2 @ P ) ) @ ( late_FreeR @ Alpha @ P3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(349,plain,
( ( ! [X2: late_freeRes,X1: pi,Y22: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(350,plain,
( ( ! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
( ( ( sum @ X2 @ X1 )
= ( sum @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(351,plain,
( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_1641682979reeRes @ Y2 @ Alpha )
=> ( late_transitions @ ( res @ Y2 @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y2 @ P3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(352,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,P3: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P2: pi,Y: name] :
( ( ( res @ X @ P )
= ( res @ Y @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P3 )
= ( late_FreeR @ Alpha2 @ ( res @ Y @ P2 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P2 ) )
=> ~ ( fresh_1641682979reeRes @ Y @ Alpha2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(353,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P2: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P2 ) ) ) )
=> ( F @ XP ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(354,plain,
( ( ! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(355,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(356,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)],[305]) ).
thf(357,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)],[306]) ).
thf(358,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(359,plain,
( ( late_transitions @ ( sum @ ( res @ x @ p ) @ ( res @ x @ q ) ) @ ( late_FreeR @ alpha @ pq ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(360,plain,
( ( late_transitions @ ( res @ x @ q ) @ ( late_FreeR @ alpha @ pq ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(361,plain,
( ( late_transitions @ q @ ( late_FreeR @ alpha @ q2 ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(362,plain,
( ( late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(363,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(364,plain,
( ( ~ ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[316]) ).
thf(365,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(366,plain,
( ( late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(367,plain,
( ( late_transitions @ q @ ( late_FreeR @ alpha @ q2 ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(368,plain,
( ( late_transitions @ ( res @ x @ q ) @ ( late_FreeR @ alpha @ pq ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(369,plain,
( ( late_transitions @ ( sum @ ( res @ x @ p ) @ ( res @ x @ q ) ) @ ( late_FreeR @ alpha @ pq ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(370,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(371,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)],[357]) ).
thf(372,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)],[356]) ).
thf(373,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(374,plain,
( ( ! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(375,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P2: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P2 ) ) ) )
=> ( F @ XP ) ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(376,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,P3: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P2: pi,Y: name] :
( ( ( res @ X @ P )
= ( res @ Y @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P3 )
= ( late_FreeR @ Alpha2 @ ( res @ Y @ P2 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P2 ) )
=> ~ ( fresh_1641682979reeRes @ Y @ Alpha2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(377,plain,
( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_1641682979reeRes @ Y2 @ Alpha )
=> ( late_transitions @ ( res @ Y2 @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y2 @ P3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(378,plain,
( ( ! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
( ( ( sum @ X2 @ X1 )
= ( sum @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(379,plain,
( ( ! [X2: late_freeRes,X1: pi,Y22: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(380,plain,
( ( ! [X: name,A: name,Y2: name,P: pi,Alpha: late_freeRes,P3: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y2 @ P ) ) @ ( late_FreeR @ Alpha @ P3 ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(381,plain,
( ( ! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(382,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(383,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(384,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(385,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(386,plain,
( ( ! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(387,plain,
( ( ! [Pi12: pi,Pi22: pi] :
( piNil
!= ( sum @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(388,plain,
( ( ! [X: name,Y2: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( input @ X @ Y2 @ P ) ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(389,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P3: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(390,plain,
( ( ! [X: name,B: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( output @ X @ B @ P ) ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(391,plain,
( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_name_pi @ Y2 @ P )
=> ( fresh_name_pi @ Y2 @ P3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(392,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)],[336]) ).
thf(393,plain,
( ( ! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( sum @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(394,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(395,plain,
( ( ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(396,plain,
( ( ! [Subject2: late_subject,Name4: name,Pi3: pi,FreeRes2: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject2 @ Name4 @ Pi3 )
!= ( late_FreeR @ FreeRes2 @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(397,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject @ Name3 @ Pi4 ) )
=> ( ! [FreeRes: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi4 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(398,plain,
( ( ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(399,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(400,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(401,plain,
( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P3 @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(402,plain,
( ( ! [X: name,C2: name,D: name,P: pi] :
( ( X != C2 )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C2 @ D )
= ( res @ X @ ( subs @ P @ C2 @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(403,plain,
( ( ! [P: pi,Q: pi,C2: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C2 @ D )
= ( sum @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(404,plain,
( ( ! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( sum @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(405,plain,
( ( ! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(406,plain,
( ( ! [X1: name,X2: pi,Y1: name,Y22: pi] :
( ( ( res @ X1 @ X2 )
= ( res @ Y1 @ Y22 ) )
= ( ( abs_fun_name_pi @ X1 @ X2 )
= ( abs_fun_name_pi @ Y1 @ Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(407,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)],[321]) ).
thf(408,plain,
( ( ! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(409,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P4: pi,A3: name,B5: name] :
( ( ( A = A3 )
& ( B = B5 )
& ( P = P4 ) )
=> ( ( late_transitions @ P4 @ Rs )
=> ( A3 = B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(410,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)],[318]) ).
thf(411,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( mismatch @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(412,plain,
( ( ~ ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(413,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)],[410]) ).
thf(414,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)],[401]) ).
thf(415,plain,
( ( ! [SX0: name,SX1: pi,SX2: pi] :
( ( fresh_name_pi @ SX0 @ ( sum @ SX1 @ SX2 ) )
= ( ~ ( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ~ ( fresh_name_pi @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(416,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name,SX4: pi] :
( ( mismatch @ SX0 @ SX1 @ SX2 )
!= ( res @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(417,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)],[396]) ).
thf(418,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)],[376]) ).
thf(419,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)],[397]) ).
thf(420,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)],[409]) ).
thf(421,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name,SX3: pi] :
( ( par @ SX0 @ SX1 )
!= ( res @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(422,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)],[379]) ).
thf(423,plain,
( ( ! [SX0: pi,SX1: name,SX2: pi] :
( ( tau @ SX0 )
!= ( res @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(424,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)],[402]) ).
thf(425,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name,SX4: pi] :
( ( input @ SX0 @ SX1 @ SX2 )
!= ( res @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(426,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name,SX3: pi] :
( ( sum @ SX0 @ SX1 )
!= ( res @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(427,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( output @ SX0 @ SX1 @ SX2 )
!= ( sum @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(428,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( ( sum @ SX0 @ SX1 )
= ( sum @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(429,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(430,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)],[372]) ).
thf(431,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(432,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)],[375]) ).
thf(433,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)],[407]) ).
thf(434,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name,SX4: pi] :
( ( output @ SX0 @ SX1 @ SX2 )
!= ( res @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(435,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)],[371]) ).
thf(436,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( sum @ SX0 @ SX1 )
!= ( par @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(437,plain,
( ( ! [SX0: pi,SX1: pi] :
( piNil
!= ( sum @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(438,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi] :
( ( tau @ SX0 )
!= ( sum @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(439,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)],[391]) ).
thf(440,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)],[392]) ).
thf(441,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)],[377]) ).
thf(442,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( input @ SX0 @ SX1 @ SX2 )
!= ( sum @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(443,plain,
( ( ! [SX0: name,SX1: pi] :
( piNil
!= ( res @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(444,plain,
! [SV1: name] :
( ( ! [SY168: name,SY169: name,SY170: pi,SY171: late_freeRes,SY172: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SY168 @ SY169 @ SY170 ) ) @ ( late_FreeR @ SY171 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(445,plain,
! [SV2: name] :
( ( ! [SY173: late_residual] :
~ ( late_transitions @ ( res @ SV2 @ piNil ) @ SY173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(446,plain,
! [SV3: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(447,plain,
! [SV4: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(448,plain,
! [SV5: name] :
( ( ! [SY174: name,SY175: pi,SY176: late_residual] :
~ ( late_transitions @ ( res @ SV5 @ ( input @ SV5 @ SY174 @ SY175 ) ) @ SY176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(449,plain,
! [SV6: name] :
( ( ! [SY177: name,SY178: pi,SY179: late_freeRes,SY180: pi] :
~ ( late_transitions @ ( input @ SV6 @ SY177 @ SY178 ) @ ( late_FreeR @ SY179 @ SY180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(450,plain,
! [SV7: name] :
( ( ! [SY181: name,SY182: pi,SY183: late_residual] :
~ ( late_transitions @ ( res @ SV7 @ ( output @ SV7 @ SY181 @ SY182 ) ) @ SY183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(451,plain,
! [SV8: name] :
( ( ! [SY184: pi] : ( fresh_name_pi @ SV8 @ ( res @ SV8 @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(452,plain,
! [SV9: pi] :
( ( ! [SY185: pi,SY186: name,SY187: name] :
( ( subs @ ( sum @ SV9 @ SY185 ) @ SY186 @ SY187 )
= ( sum @ ( subs @ SV9 @ SY186 @ SY187 ) @ ( subs @ SY185 @ SY186 @ SY187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(453,plain,
! [SV10: name] :
( ( ! [SY188: pi,SY189: name,SY190: pi] :
( ( ( res @ SV10 @ SY188 )
= ( res @ SY189 @ SY190 ) )
= ( ( abs_fun_name_pi @ SV10 @ SY188 )
= ( abs_fun_name_pi @ SY189 @ SY190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(454,plain,
! [SV11: name] :
( ( ! [SY191: pi,SY192: late_residual] :
~ ( late_transitions @ ( mismatch @ SV11 @ SV11 @ SY191 ) @ SY192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(455,plain,
( ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(456,plain,
! [SV12: pi] :
( ( ! [SY193: late_residual,SY194: name,SY195: name] :
( ~ ( late_transitions @ SV12 @ SY193 )
| ~ ( ( SY194 != SY195 ) )
| ( late_transitions @ ( mismatch @ SY194 @ SY195 @ SV12 ) @ SY193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(457,plain,
! [SV13: pi] :
( ( ! [SY196: late_freeRes,SY197: pi,SY198: pi] :
( ~ ( late_transitions @ SV13 @ ( late_FreeR @ SY196 @ SY197 ) )
| ( late_transitions @ ( par @ SV13 @ SY198 ) @ ( late_FreeR @ SY196 @ ( par @ SY197 @ SY198 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(458,plain,
! [SV14: name] :
( ( ! [SY199: pi,SY200: pi] :
( ( fresh_name_pi @ SV14 @ ( sum @ SY199 @ SY200 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV14 @ SY199 )
| ~ ( fresh_name_pi @ SV14 @ SY200 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(459,plain,
! [SV15: name] :
( ( ! [SY201: name,SY202: pi,SY203: name,SY204: pi] :
( ( mismatch @ SV15 @ SY201 @ SY202 )
!= ( res @ SY203 @ SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(460,plain,
! [SV16: late_subject] :
( ( ! [SY205: name,SY206: pi,SY207: late_freeRes,SY208: pi] :
( ( late_BoundR @ SV16 @ SY205 @ SY206 )
!= ( late_FreeR @ SY207 @ SY208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(461,plain,
! [SV17: name] :
( ( ! [SY209: pi,SY210: late_freeRes,SY211: pi] :
( ~ ( late_transitions @ ( res @ SV17 @ SY209 ) @ ( late_FreeR @ SY210 @ SY211 ) )
| ~ ! [SY212: pi,SY213: late_freeRes,SY214: pi,SY215: name] :
( ( ( res @ SV17 @ SY209 )
!= ( res @ SY215 @ SY212 ) )
| ( ( late_FreeR @ SY210 @ SY211 )
!= ( late_FreeR @ SY213 @ ( res @ SY215 @ SY214 ) ) )
| ~ ( late_transitions @ SY212 @ ( late_FreeR @ SY213 @ SY214 ) )
| ~ ( fresh_1641682979reeRes @ SY215 @ SY213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(462,plain,
! [SV18: late_residual > $o] :
( ( ! [SY216: late_residual] :
( ~ ! [SY217: late_subject,SY218: name,SY219: pi] : ( SV18 @ ( late_BoundR @ SY217 @ SY218 @ SY219 ) )
| ~ ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) )
| ( SV18 @ SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(463,plain,
! [SV19: name] :
( ( ! [SY222: name,SY223: pi,SY224: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV19 @ SY222 @ SY223 ) @ SY224 )
| ~ ! [SY225: pi,SY226: name,SY227: name] :
( ~ ~ ( ~ ~ ( ( SV19 != SY226 )
| ( SY222 != SY227 ) )
| ( SY223 != SY225 ) )
| ~ ( late_transitions @ SY225 @ SY224 )
| ( SY226 = SY227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(464,plain,
! [SV20: pi] :
( ( ! [SY228: pi,SY229: name,SY230: pi] :
( ( par @ SV20 @ SY228 )
!= ( res @ SY229 @ SY230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(465,plain,
! [SV21: late_freeRes] :
( ( ! [SY231: pi,SY232: late_freeRes,SY233: pi] :
( ( ( late_FreeR @ SV21 @ SY231 )
= ( late_FreeR @ SY232 @ SY233 ) )
= ( ~ ( ( SV21 != SY232 )
| ( SY231 != SY233 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(466,plain,
! [SV22: pi] :
( ( ! [SY234: name,SY235: pi] :
( ( tau @ SV22 )
!= ( res @ SY234 @ SY235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(467,plain,
! [SV23: name] :
( ( ! [SY236: name,SY237: name,SY238: pi] :
( ~ ( ( SV23 != SY236 ) )
| ~ ( ( SV23 != SY237 ) )
| ( ( subs @ ( res @ SV23 @ SY238 ) @ SY236 @ SY237 )
= ( res @ SV23 @ ( subs @ SY238 @ SY236 @ SY237 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(468,plain,
! [SV24: name] :
( ( ! [SY239: name,SY240: pi,SY241: name,SY242: pi] :
( ( input @ SV24 @ SY239 @ SY240 )
!= ( res @ SY241 @ SY242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(469,plain,
! [SV25: pi] :
( ( ! [SY243: pi,SY244: name,SY245: pi] :
( ( sum @ SV25 @ SY243 )
!= ( res @ SY244 @ SY245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(470,plain,
! [SV26: name] :
( ( ! [SY246: name,SY247: pi,SY248: pi,SY249: pi] :
( ( output @ SV26 @ SY246 @ SY247 )
!= ( sum @ SY248 @ SY249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(471,plain,
! [SV27: pi] :
( ( ! [SY250: pi,SY251: pi,SY252: pi] :
( ( ( sum @ SV27 @ SY250 )
= ( sum @ SY251 @ SY252 ) )
= ( ~ ( ( SV27 != SY251 )
| ( SY250 != SY252 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(472,plain,
! [SV28: pi] :
( ( ! [SY253: late_residual,SY254: pi] :
( ~ ( late_transitions @ SV28 @ SY253 )
| ( late_transitions @ ( sum @ SV28 @ SY254 ) @ SY253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(473,plain,
! [SV29: pi] :
( ( ! [SY255: pi,SY256: late_residual] :
( ~ ( late_transitions @ ( sum @ SV29 @ SY255 ) @ SY256 )
| ~ ~ ( late_transitions @ SV29 @ SY256 )
| ( late_transitions @ SY255 @ SY256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(474,plain,
! [SV30: pi] :
( ( ! [SY257: late_residual,SY258: pi] :
( ~ ( late_transitions @ SV30 @ SY257 )
| ( late_transitions @ ( sum @ SY258 @ SV30 ) @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(475,plain,
! [SV31: name] :
( ( ! [SY259: pi,SY260: late_freeRes,SY261: pi,SY262: pi > $o] :
( ~ ( late_transitions @ ( res @ SV31 @ SY259 ) @ ( late_FreeR @ SY260 @ SY261 ) )
| ~ ! [SY263: pi] :
( ~ ( late_transitions @ SY259 @ ( late_FreeR @ SY260 @ SY263 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SY260 )
| ( SY262 @ ( res @ SV31 @ SY263 ) ) )
| ( SY262 @ SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(476,plain,
! [SV32: name] :
( ( ! [SY264: name,SY265: pi,SY266: late_residual,SY267: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV32 @ SY264 @ SY265 ) @ SY266 )
| ~ ( ~ ( late_transitions @ SY265 @ SY266 )
| ~ ( ( SV32 != SY264 ) )
| ( SY267 @ SV32 @ SY264 ) )
| ( SY267 @ SV32 @ SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(477,plain,
! [SV33: name] :
( ( ! [SY268: name,SY269: pi,SY270: name,SY271: pi] :
( ( output @ SV33 @ SY268 @ SY269 )
!= ( res @ SY270 @ SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(478,plain,
! [SV34: pi] :
( ( ! [SY272: pi,SY273: late_residual] :
( ~ ( late_transitions @ ( sum @ SV34 @ SY272 ) @ SY273 )
| ~ ~ ( late_transitions @ SV34 @ SY273 )
| ( late_transitions @ SY272 @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(479,plain,
! [SV35: pi] :
( ( ! [SY274: pi,SY275: pi,SY276: pi] :
( ( sum @ SV35 @ SY274 )
!= ( par @ SY275 @ SY276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(480,plain,
! [SV36: pi] :
( ( ! [SY277: pi] :
( piNil
!= ( sum @ SV36 @ SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(481,plain,
! [SV37: pi] :
( ( ! [SY278: pi,SY279: pi] :
( ( tau @ SV37 )
!= ( sum @ SY278 @ SY279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(482,plain,
! [SV38: pi] :
( ( ! [SY280: late_freeRes,SY281: pi,SY282: name] :
( ~ ( late_transitions @ SV38 @ ( late_FreeR @ SY280 @ SY281 ) )
| ~ ( fresh_name_pi @ SY282 @ SV38 )
| ( fresh_name_pi @ SY282 @ SY281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(483,plain,
! [SV39: pi] :
( ( ! [SY283: late_freeRes,SY284: pi,SY285: pi] :
( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SY283 @ SY284 ) )
| ( late_transitions @ ( par @ SY285 @ SV39 ) @ ( late_FreeR @ SY283 @ ( par @ SY285 @ SY284 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(484,plain,
! [SV40: pi] :
( ( ! [SY286: late_freeRes,SY287: pi,SY288: name] :
( ~ ( late_transitions @ SV40 @ ( late_FreeR @ SY286 @ SY287 ) )
| ~ ( fresh_1641682979reeRes @ SY288 @ SY286 )
| ( late_transitions @ ( res @ SY288 @ SV40 ) @ ( late_FreeR @ SY286 @ ( res @ SY288 @ SY287 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(485,plain,
! [SV41: name] :
( ( ! [SY289: name,SY290: pi,SY291: pi,SY292: pi] :
( ( input @ SV41 @ SY289 @ SY290 )
!= ( sum @ SY291 @ SY292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(486,plain,
! [SV42: name] :
( ( ! [SY293: pi] :
( piNil
!= ( res @ SV42 @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(487,plain,
! [SV43: name,SV1: name] :
( ( ! [SY294: name,SY295: pi,SY296: late_freeRes,SY297: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SV43 @ SY294 @ SY295 ) ) @ ( late_FreeR @ SY296 @ SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(488,plain,
! [SV44: late_residual,SV2: name] :
( ( ~ ( late_transitions @ ( res @ SV2 @ piNil ) @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(489,plain,
! [SV3: late_residual] :
( ( late_transitions @ piNil @ SV3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(490,plain,
! [SV4: late_residual] :
( ( late_transitions @ piNil @ SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(491,plain,
! [SV45: name,SV5: name] :
( ( ! [SY298: pi,SY299: late_residual] :
~ ( late_transitions @ ( res @ SV5 @ ( input @ SV5 @ SV45 @ SY298 ) ) @ SY299 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(492,plain,
! [SV46: name,SV6: name] :
( ( ! [SY300: pi,SY301: late_freeRes,SY302: pi] :
~ ( late_transitions @ ( input @ SV6 @ SV46 @ SY300 ) @ ( late_FreeR @ SY301 @ SY302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(493,plain,
! [SV47: name,SV7: name] :
( ( ! [SY303: pi,SY304: late_residual] :
~ ( late_transitions @ ( res @ SV7 @ ( output @ SV7 @ SV47 @ SY303 ) ) @ SY304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(494,plain,
! [SV48: pi,SV8: name] :
( ( fresh_name_pi @ SV8 @ ( res @ SV8 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(495,plain,
! [SV49: pi,SV9: pi] :
( ( ! [SY305: name,SY306: name] :
( ( subs @ ( sum @ SV9 @ SV49 ) @ SY305 @ SY306 )
= ( sum @ ( subs @ SV9 @ SY305 @ SY306 ) @ ( subs @ SV49 @ SY305 @ SY306 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(496,plain,
! [SV50: pi,SV10: name] :
( ( ! [SY307: name,SY308: pi] :
( ( ( res @ SV10 @ SV50 )
= ( res @ SY307 @ SY308 ) )
= ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SY307 @ SY308 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(497,plain,
! [SV51: pi,SV11: name] :
( ( ! [SY309: late_residual] :
~ ( late_transitions @ ( mismatch @ SV11 @ SV11 @ SV51 ) @ SY309 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(498,plain,
! [SV52: late_residual,SV12: pi] :
( ( ! [SY310: name,SY311: name] :
( ~ ( late_transitions @ SV12 @ SV52 )
| ~ ( ( SY310 != SY311 ) )
| ( late_transitions @ ( mismatch @ SY310 @ SY311 @ SV12 ) @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(499,plain,
! [SV53: late_freeRes,SV13: pi] :
( ( ! [SY312: pi,SY313: pi] :
( ~ ( late_transitions @ SV13 @ ( late_FreeR @ SV53 @ SY312 ) )
| ( late_transitions @ ( par @ SV13 @ SY313 ) @ ( late_FreeR @ SV53 @ ( par @ SY312 @ SY313 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(500,plain,
! [SV54: pi,SV14: name] :
( ( ! [SY314: pi] :
( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SY314 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SY314 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(501,plain,
! [SV55: name,SV15: name] :
( ( ! [SY315: pi,SY316: name,SY317: pi] :
( ( mismatch @ SV15 @ SV55 @ SY315 )
!= ( res @ SY316 @ SY317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(502,plain,
! [SV56: name,SV16: late_subject] :
( ( ! [SY318: pi,SY319: late_freeRes,SY320: pi] :
( ( late_BoundR @ SV16 @ SV56 @ SY318 )
!= ( late_FreeR @ SY319 @ SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(503,plain,
! [SV57: pi,SV17: name] :
( ( ! [SY321: late_freeRes,SY322: pi] :
( ~ ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SY321 @ SY322 ) )
| ~ ! [SY323: pi,SY324: late_freeRes,SY325: pi,SY326: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY326 @ SY323 ) )
| ( ( late_FreeR @ SY321 @ SY322 )
!= ( late_FreeR @ SY324 @ ( res @ SY326 @ SY325 ) ) )
| ~ ( late_transitions @ SY323 @ ( late_FreeR @ SY324 @ SY325 ) )
| ~ ( fresh_1641682979reeRes @ SY326 @ SY324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(504,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ~ ! [SY217: late_subject,SY218: name,SY219: pi] : ( SV18 @ ( late_BoundR @ SY217 @ SY218 @ SY219 ) )
| ~ ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) )
| ( SV18 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(505,plain,
! [SV59: name,SV19: name] :
( ( ! [SY332: pi,SY333: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SY332 ) @ SY333 )
| ~ ! [SY334: pi,SY335: name,SY336: name] :
( ~ ~ ( ~ ~ ( ( SV19 != SY335 )
| ( SV59 != SY336 ) )
| ( SY332 != SY334 ) )
| ~ ( late_transitions @ SY334 @ SY333 )
| ( SY335 = SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(506,plain,
! [SV60: pi,SV20: pi] :
( ( ! [SY337: name,SY338: pi] :
( ( par @ SV20 @ SV60 )
!= ( res @ SY337 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(507,plain,
! [SV61: pi,SV21: late_freeRes] :
( ( ! [SY339: late_freeRes,SY340: pi] :
( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SY339 @ SY340 ) )
= ( ~ ( ( SV21 != SY339 )
| ( SV61 != SY340 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(508,plain,
! [SV62: name,SV22: pi] :
( ( ! [SY341: pi] :
( ( tau @ SV22 )
!= ( res @ SV62 @ SY341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(509,plain,
! [SV63: name,SV23: name] :
( ( ! [SY342: name,SY343: pi] :
( ~ ( ( SV23 != SV63 ) )
| ~ ( ( SV23 != SY342 ) )
| ( ( subs @ ( res @ SV23 @ SY343 ) @ SV63 @ SY342 )
= ( res @ SV23 @ ( subs @ SY343 @ SV63 @ SY342 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(510,plain,
! [SV64: name,SV24: name] :
( ( ! [SY344: pi,SY345: name,SY346: pi] :
( ( input @ SV24 @ SV64 @ SY344 )
!= ( res @ SY345 @ SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(511,plain,
! [SV65: pi,SV25: pi] :
( ( ! [SY347: name,SY348: pi] :
( ( sum @ SV25 @ SV65 )
!= ( res @ SY347 @ SY348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(512,plain,
! [SV66: name,SV26: name] :
( ( ! [SY349: pi,SY350: pi,SY351: pi] :
( ( output @ SV26 @ SV66 @ SY349 )
!= ( sum @ SY350 @ SY351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(513,plain,
! [SV67: pi,SV27: pi] :
( ( ! [SY352: pi,SY353: pi] :
( ( ( sum @ SV27 @ SV67 )
= ( sum @ SY352 @ SY353 ) )
= ( ~ ( ( SV27 != SY352 )
| ( SV67 != SY353 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(514,plain,
! [SV68: late_residual,SV28: pi] :
( ( ! [SY354: pi] :
( ~ ( late_transitions @ SV28 @ SV68 )
| ( late_transitions @ ( sum @ SV28 @ SY354 ) @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(515,plain,
! [SV69: pi,SV29: pi] :
( ( ! [SY355: late_residual] :
( ~ ( late_transitions @ ( sum @ SV29 @ SV69 ) @ SY355 )
| ~ ~ ( late_transitions @ SV29 @ SY355 )
| ( late_transitions @ SV69 @ SY355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(516,plain,
! [SV70: late_residual,SV30: pi] :
( ( ! [SY356: pi] :
( ~ ( late_transitions @ SV30 @ SV70 )
| ( late_transitions @ ( sum @ SY356 @ SV30 ) @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(517,plain,
! [SV71: pi,SV31: name] :
( ( ! [SY357: late_freeRes,SY358: pi,SY359: pi > $o] :
( ~ ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SY357 @ SY358 ) )
| ~ ! [SY360: pi] :
( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SY357 @ SY360 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SY357 )
| ( SY359 @ ( res @ SV31 @ SY360 ) ) )
| ( SY359 @ SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(518,plain,
! [SV72: name,SV32: name] :
( ( ! [SY361: pi,SY362: late_residual,SY363: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SY361 ) @ SY362 )
| ~ ( ~ ( late_transitions @ SY361 @ SY362 )
| ~ ( ( SV32 != SV72 ) )
| ( SY363 @ SV32 @ SV72 ) )
| ( SY363 @ SV32 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(519,plain,
! [SV73: name,SV33: name] :
( ( ! [SY364: pi,SY365: name,SY366: pi] :
( ( output @ SV33 @ SV73 @ SY364 )
!= ( res @ SY365 @ SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(520,plain,
! [SV74: pi,SV34: pi] :
( ( ! [SY367: late_residual] :
( ~ ( late_transitions @ ( sum @ SV34 @ SV74 ) @ SY367 )
| ~ ~ ( late_transitions @ SV34 @ SY367 )
| ( late_transitions @ SV74 @ SY367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(521,plain,
! [SV75: pi,SV35: pi] :
( ( ! [SY368: pi,SY369: pi] :
( ( sum @ SV35 @ SV75 )
!= ( par @ SY368 @ SY369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(522,plain,
! [SV76: pi,SV36: pi] :
( ( piNil
!= ( sum @ SV36 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(523,plain,
! [SV77: pi,SV37: pi] :
( ( ! [SY370: pi] :
( ( tau @ SV37 )
!= ( sum @ SV77 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(524,plain,
! [SV78: late_freeRes,SV38: pi] :
( ( ! [SY371: pi,SY372: name] :
( ~ ( late_transitions @ SV38 @ ( late_FreeR @ SV78 @ SY371 ) )
| ~ ( fresh_name_pi @ SY372 @ SV38 )
| ( fresh_name_pi @ SY372 @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(525,plain,
! [SV79: late_freeRes,SV39: pi] :
( ( ! [SY373: pi,SY374: pi] :
( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SV79 @ SY373 ) )
| ( late_transitions @ ( par @ SY374 @ SV39 ) @ ( late_FreeR @ SV79 @ ( par @ SY374 @ SY373 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(526,plain,
! [SV80: late_freeRes,SV40: pi] :
( ( ! [SY375: pi,SY376: name] :
( ~ ( late_transitions @ SV40 @ ( late_FreeR @ SV80 @ SY375 ) )
| ~ ( fresh_1641682979reeRes @ SY376 @ SV80 )
| ( late_transitions @ ( res @ SY376 @ SV40 ) @ ( late_FreeR @ SV80 @ ( res @ SY376 @ SY375 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(527,plain,
! [SV81: name,SV41: name] :
( ( ! [SY377: pi,SY378: pi,SY379: pi] :
( ( input @ SV41 @ SV81 @ SY377 )
!= ( sum @ SY378 @ SY379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(528,plain,
! [SV82: pi,SV42: name] :
( ( piNil
!= ( res @ SV42 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(529,plain,
! [SV83: name,SV43: name,SV1: name] :
( ( ! [SY380: pi,SY381: late_freeRes,SY382: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SV43 @ SV83 @ SY380 ) ) @ ( late_FreeR @ SY381 @ SY382 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(530,plain,
! [SV44: late_residual,SV2: name] :
( ( late_transitions @ ( res @ SV2 @ piNil ) @ SV44 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(531,plain,
! [SV84: pi,SV45: name,SV5: name] :
( ( ! [SY383: late_residual] :
~ ( late_transitions @ ( res @ SV5 @ ( input @ SV5 @ SV45 @ SV84 ) ) @ SY383 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(532,plain,
! [SV85: pi,SV46: name,SV6: name] :
( ( ! [SY384: late_freeRes,SY385: pi] :
~ ( late_transitions @ ( input @ SV6 @ SV46 @ SV85 ) @ ( late_FreeR @ SY384 @ SY385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(533,plain,
! [SV86: pi,SV47: name,SV7: name] :
( ( ! [SY386: late_residual] :
~ ( late_transitions @ ( res @ SV7 @ ( output @ SV7 @ SV47 @ SV86 ) ) @ SY386 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(534,plain,
! [SV87: name,SV49: pi,SV9: pi] :
( ( ! [SY387: name] :
( ( subs @ ( sum @ SV9 @ SV49 ) @ SV87 @ SY387 )
= ( sum @ ( subs @ SV9 @ SV87 @ SY387 ) @ ( subs @ SV49 @ SV87 @ SY387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(535,plain,
! [SV88: name,SV50: pi,SV10: name] :
( ( ! [SY388: pi] :
( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SY388 ) )
= ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SY388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(536,plain,
! [SV89: late_residual,SV51: pi,SV11: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV11 @ SV11 @ SV51 ) @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(537,plain,
! [SV90: name,SV52: late_residual,SV12: pi] :
( ( ! [SY389: name] :
( ~ ( late_transitions @ SV12 @ SV52 )
| ~ ( ( SV90 != SY389 ) )
| ( late_transitions @ ( mismatch @ SV90 @ SY389 @ SV12 ) @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(538,plain,
! [SV91: pi,SV53: late_freeRes,SV13: pi] :
( ( ! [SY390: pi] :
( ~ ( late_transitions @ SV13 @ ( late_FreeR @ SV53 @ SV91 ) )
| ( late_transitions @ ( par @ SV13 @ SY390 ) @ ( late_FreeR @ SV53 @ ( par @ SV91 @ SY390 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(539,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(540,plain,
! [SV93: pi,SV55: name,SV15: name] :
( ( ! [SY391: name,SY392: pi] :
( ( mismatch @ SV15 @ SV55 @ SV93 )
!= ( res @ SY391 @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(541,plain,
! [SV94: pi,SV56: name,SV16: late_subject] :
( ( ! [SY393: late_freeRes,SY394: pi] :
( ( late_BoundR @ SV16 @ SV56 @ SV94 )
!= ( late_FreeR @ SY393 @ SY394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(542,plain,
! [SV95: late_freeRes,SV57: pi,SV17: name] :
( ( ! [SY395: pi] :
( ~ ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SY395 ) )
| ~ ! [SY396: pi,SY397: late_freeRes,SY398: pi,SY399: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY399 @ SY396 ) )
| ( ( late_FreeR @ SV95 @ SY395 )
!= ( late_FreeR @ SY397 @ ( res @ SY399 @ SY398 ) ) )
| ~ ( late_transitions @ SY396 @ ( late_FreeR @ SY397 @ SY398 ) )
| ~ ( fresh_1641682979reeRes @ SY399 @ SY397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(543,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( ~ ! [SY217: late_subject,SY218: name,SY219: pi] : ( SV18 @ ( late_BoundR @ SY217 @ SY218 @ SY219 ) ) )
= $true )
| ( ( ~ ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) )
| ( SV18 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(544,plain,
! [SV96: pi,SV59: name,SV19: name] :
( ( ! [SY400: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SY400 )
| ~ ! [SY401: pi,SY402: name,SY403: name] :
( ~ ~ ( ~ ~ ( ( SV19 != SY402 )
| ( SV59 != SY403 ) )
| ( SV96 != SY401 ) )
| ~ ( late_transitions @ SY401 @ SY400 )
| ( SY402 = SY403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(545,plain,
! [SV97: name,SV60: pi,SV20: pi] :
( ( ! [SY404: pi] :
( ( par @ SV20 @ SV60 )
!= ( res @ SV97 @ SY404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(546,plain,
! [SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ! [SY405: pi] :
( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SY405 ) )
= ( ~ ( ( SV21 != SV98 )
| ( SV61 != SY405 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(547,plain,
! [SV99: pi,SV62: name,SV22: pi] :
( ( ( tau @ SV22 )
!= ( res @ SV62 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(548,plain,
! [SV100: name,SV63: name,SV23: name] :
( ( ! [SY406: pi] :
( ~ ( ( SV23 != SV63 ) )
| ~ ( ( SV23 != SV100 ) )
| ( ( subs @ ( res @ SV23 @ SY406 ) @ SV63 @ SV100 )
= ( res @ SV23 @ ( subs @ SY406 @ SV63 @ SV100 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(549,plain,
! [SV101: pi,SV64: name,SV24: name] :
( ( ! [SY407: name,SY408: pi] :
( ( input @ SV24 @ SV64 @ SV101 )
!= ( res @ SY407 @ SY408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(550,plain,
! [SV102: name,SV65: pi,SV25: pi] :
( ( ! [SY409: pi] :
( ( sum @ SV25 @ SV65 )
!= ( res @ SV102 @ SY409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(551,plain,
! [SV103: pi,SV66: name,SV26: name] :
( ( ! [SY410: pi,SY411: pi] :
( ( output @ SV26 @ SV66 @ SV103 )
!= ( sum @ SY410 @ SY411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(552,plain,
! [SV104: pi,SV67: pi,SV27: pi] :
( ( ! [SY412: pi] :
( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SY412 ) )
= ( ~ ( ( SV27 != SV104 )
| ( SV67 != SY412 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(553,plain,
! [SV105: pi,SV68: late_residual,SV28: pi] :
( ( ~ ( late_transitions @ SV28 @ SV68 )
| ( late_transitions @ ( sum @ SV28 @ SV105 ) @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(554,plain,
! [SV106: late_residual,SV69: pi,SV29: pi] :
( ( ~ ( late_transitions @ ( sum @ SV29 @ SV69 ) @ SV106 )
| ~ ~ ( late_transitions @ SV29 @ SV106 )
| ( late_transitions @ SV69 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(555,plain,
! [SV107: pi,SV70: late_residual,SV30: pi] :
( ( ~ ( late_transitions @ SV30 @ SV70 )
| ( late_transitions @ ( sum @ SV107 @ SV30 ) @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(556,plain,
! [SV108: late_freeRes,SV71: pi,SV31: name] :
( ( ! [SY413: pi,SY414: pi > $o] :
( ~ ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SY413 ) )
| ~ ! [SY415: pi] :
( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ SY415 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SY414 @ ( res @ SV31 @ SY415 ) ) )
| ( SY414 @ SY413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(557,plain,
! [SV109: pi,SV72: name,SV32: name] :
( ( ! [SY416: late_residual,SY417: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SY416 )
| ~ ( ~ ( late_transitions @ SV109 @ SY416 )
| ~ ( ( SV32 != SV72 ) )
| ( SY417 @ SV32 @ SV72 ) )
| ( SY417 @ SV32 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(558,plain,
! [SV110: pi,SV73: name,SV33: name] :
( ( ! [SY418: name,SY419: pi] :
( ( output @ SV33 @ SV73 @ SV110 )
!= ( res @ SY418 @ SY419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(559,plain,
! [SV111: late_residual,SV74: pi,SV34: pi] :
( ( ~ ( late_transitions @ ( sum @ SV34 @ SV74 ) @ SV111 )
| ~ ~ ( late_transitions @ SV34 @ SV111 )
| ( late_transitions @ SV74 @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(560,plain,
! [SV112: pi,SV75: pi,SV35: pi] :
( ( ! [SY420: pi] :
( ( sum @ SV35 @ SV75 )
!= ( par @ SV112 @ SY420 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(561,plain,
! [SV76: pi,SV36: pi] :
( ( piNil
= ( sum @ SV36 @ SV76 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(562,plain,
! [SV113: pi,SV77: pi,SV37: pi] :
( ( ( tau @ SV37 )
!= ( sum @ SV77 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(563,plain,
! [SV114: pi,SV78: late_freeRes,SV38: pi] :
( ( ! [SY421: name] :
( ~ ( late_transitions @ SV38 @ ( late_FreeR @ SV78 @ SV114 ) )
| ~ ( fresh_name_pi @ SY421 @ SV38 )
| ( fresh_name_pi @ SY421 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(564,plain,
! [SV115: pi,SV79: late_freeRes,SV39: pi] :
( ( ! [SY422: pi] :
( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SV79 @ SV115 ) )
| ( late_transitions @ ( par @ SY422 @ SV39 ) @ ( late_FreeR @ SV79 @ ( par @ SY422 @ SV115 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(565,plain,
! [SV116: pi,SV80: late_freeRes,SV40: pi] :
( ( ! [SY423: name] :
( ~ ( late_transitions @ SV40 @ ( late_FreeR @ SV80 @ SV116 ) )
| ~ ( fresh_1641682979reeRes @ SY423 @ SV80 )
| ( late_transitions @ ( res @ SY423 @ SV40 ) @ ( late_FreeR @ SV80 @ ( res @ SY423 @ SV116 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(566,plain,
! [SV117: pi,SV81: name,SV41: name] :
( ( ! [SY424: pi,SY425: pi] :
( ( input @ SV41 @ SV81 @ SV117 )
!= ( sum @ SY424 @ SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(567,plain,
! [SV82: pi,SV42: name] :
( ( piNil
= ( res @ SV42 @ SV82 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(568,plain,
! [SV118: pi,SV83: name,SV43: name,SV1: name] :
( ( ! [SY426: late_freeRes,SY427: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SV43 @ SV83 @ SV118 ) ) @ ( late_FreeR @ SY426 @ SY427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(569,plain,
! [SV119: late_residual,SV84: pi,SV45: name,SV5: name] :
( ( ~ ( late_transitions @ ( res @ SV5 @ ( input @ SV5 @ SV45 @ SV84 ) ) @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(570,plain,
! [SV120: late_freeRes,SV85: pi,SV46: name,SV6: name] :
( ( ! [SY428: pi] :
~ ( late_transitions @ ( input @ SV6 @ SV46 @ SV85 ) @ ( late_FreeR @ SV120 @ SY428 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(571,plain,
! [SV121: late_residual,SV86: pi,SV47: name,SV7: name] :
( ( ~ ( late_transitions @ ( res @ SV7 @ ( output @ SV7 @ SV47 @ SV86 ) ) @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(572,plain,
! [SV122: name,SV87: name,SV49: pi,SV9: pi] :
( ( ( subs @ ( sum @ SV9 @ SV49 ) @ SV87 @ SV122 )
= ( sum @ ( subs @ SV9 @ SV87 @ SV122 ) @ ( subs @ SV49 @ SV87 @ SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(573,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(574,plain,
! [SV89: late_residual,SV51: pi,SV11: name] :
( ( late_transitions @ ( mismatch @ SV11 @ SV11 @ SV51 ) @ SV89 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(575,plain,
! [SV124: name,SV90: name,SV52: late_residual,SV12: pi] :
( ( ~ ( late_transitions @ SV12 @ SV52 )
| ~ ( ( SV90 != SV124 ) )
| ( late_transitions @ ( mismatch @ SV90 @ SV124 @ SV12 ) @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(576,plain,
! [SV125: pi,SV91: pi,SV53: late_freeRes,SV13: pi] :
( ( ~ ( late_transitions @ SV13 @ ( late_FreeR @ SV53 @ SV91 ) )
| ( late_transitions @ ( par @ SV13 @ SV125 ) @ ( late_FreeR @ SV53 @ ( par @ SV91 @ SV125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(577,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ~ ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
| ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[539]) ).
thf(578,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[539]) ).
thf(579,plain,
! [SV126: name,SV93: pi,SV55: name,SV15: name] :
( ( ! [SY429: pi] :
( ( mismatch @ SV15 @ SV55 @ SV93 )
!= ( res @ SV126 @ SY429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(580,plain,
! [SV127: late_freeRes,SV94: pi,SV56: name,SV16: late_subject] :
( ( ! [SY430: pi] :
( ( late_BoundR @ SV16 @ SV56 @ SV94 )
!= ( late_FreeR @ SV127 @ SY430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(581,plain,
! [SV128: pi,SV95: late_freeRes,SV57: pi,SV17: name] :
( ( ~ ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
| ~ ! [SY431: pi,SY432: late_freeRes,SY433: pi,SY434: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY434 @ SY431 ) )
| ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ SY432 @ ( res @ SY434 @ SY433 ) ) )
| ~ ( late_transitions @ SY431 @ ( late_FreeR @ SY432 @ SY433 ) )
| ~ ( fresh_1641682979reeRes @ SY434 @ SY432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(582,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( ! [SY217: late_subject,SY218: name,SY219: pi] : ( SV18 @ ( late_BoundR @ SY217 @ SY218 @ SY219 ) ) )
= $false )
| ( ( ~ ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) )
| ( SV18 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(583,plain,
! [SV129: late_residual,SV96: pi,SV59: name,SV19: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
| ~ ! [SY435: pi,SY436: name,SY437: name] :
( ~ ~ ( ~ ~ ( ( SV19 != SY436 )
| ( SV59 != SY437 ) )
| ( SV96 != SY435 ) )
| ~ ( late_transitions @ SY435 @ SV129 )
| ( SY436 = SY437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(584,plain,
! [SV130: pi,SV97: name,SV60: pi,SV20: pi] :
( ( ( par @ SV20 @ SV60 )
!= ( res @ SV97 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(585,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= ( ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(586,plain,
! [SV99: pi,SV62: name,SV22: pi] :
( ( ( tau @ SV22 )
= ( res @ SV62 @ SV99 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(587,plain,
! [SV132: pi,SV100: name,SV63: name,SV23: name] :
( ( ~ ( ( SV23 != SV63 ) )
| ~ ( ( SV23 != SV100 ) )
| ( ( subs @ ( res @ SV23 @ SV132 ) @ SV63 @ SV100 )
= ( res @ SV23 @ ( subs @ SV132 @ SV63 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(588,plain,
! [SV133: name,SV101: pi,SV64: name,SV24: name] :
( ( ! [SY438: pi] :
( ( input @ SV24 @ SV64 @ SV101 )
!= ( res @ SV133 @ SY438 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(589,plain,
! [SV134: pi,SV102: name,SV65: pi,SV25: pi] :
( ( ( sum @ SV25 @ SV65 )
!= ( res @ SV102 @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(590,plain,
! [SV135: pi,SV103: pi,SV66: name,SV26: name] :
( ( ! [SY439: pi] :
( ( output @ SV26 @ SV66 @ SV103 )
!= ( sum @ SV135 @ SY439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(591,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= ( ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(592,plain,
! [SV105: pi,SV68: late_residual,SV28: pi] :
( ( ( ~ ( late_transitions @ SV28 @ SV68 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV28 @ SV105 ) @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(593,plain,
! [SV106: late_residual,SV69: pi,SV29: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV29 @ SV69 ) @ SV106 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV29 @ SV106 )
| ( late_transitions @ SV69 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(594,plain,
! [SV107: pi,SV70: late_residual,SV30: pi] :
( ( ( ~ ( late_transitions @ SV30 @ SV70 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV107 @ SV30 ) @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(595,plain,
! [SV137: pi,SV108: late_freeRes,SV71: pi,SV31: name] :
( ( ! [SY440: pi > $o] :
( ~ ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
| ~ ! [SY415: pi] :
( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ SY415 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SY440 @ ( res @ SV31 @ SY415 ) ) )
| ( SY440 @ SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(596,plain,
! [SV138: late_residual,SV109: pi,SV72: name,SV32: name] :
( ( ! [SY442: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
| ~ ( ~ ( late_transitions @ SV109 @ SV138 )
| ~ ( ( SV32 != SV72 ) )
| ( SY442 @ SV32 @ SV72 ) )
| ( SY442 @ SV32 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(597,plain,
! [SV139: name,SV110: pi,SV73: name,SV33: name] :
( ( ! [SY443: pi] :
( ( output @ SV33 @ SV73 @ SV110 )
!= ( res @ SV139 @ SY443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(598,plain,
! [SV111: late_residual,SV74: pi,SV34: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV34 @ SV74 ) @ SV111 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV34 @ SV111 )
| ( late_transitions @ SV74 @ SV111 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(599,plain,
! [SV140: pi,SV112: pi,SV75: pi,SV35: pi] :
( ( ( sum @ SV35 @ SV75 )
!= ( par @ SV112 @ SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(600,plain,
! [SV113: pi,SV77: pi,SV37: pi] :
( ( ( tau @ SV37 )
= ( sum @ SV77 @ SV113 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(601,plain,
! [SV141: name,SV114: pi,SV78: late_freeRes,SV38: pi] :
( ( ~ ( late_transitions @ SV38 @ ( late_FreeR @ SV78 @ SV114 ) )
| ~ ( fresh_name_pi @ SV141 @ SV38 )
| ( fresh_name_pi @ SV141 @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(602,plain,
! [SV142: pi,SV115: pi,SV79: late_freeRes,SV39: pi] :
( ( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SV79 @ SV115 ) )
| ( late_transitions @ ( par @ SV142 @ SV39 ) @ ( late_FreeR @ SV79 @ ( par @ SV142 @ SV115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(603,plain,
! [SV143: name,SV116: pi,SV80: late_freeRes,SV40: pi] :
( ( ~ ( late_transitions @ SV40 @ ( late_FreeR @ SV80 @ SV116 ) )
| ~ ( fresh_1641682979reeRes @ SV143 @ SV80 )
| ( late_transitions @ ( res @ SV143 @ SV40 ) @ ( late_FreeR @ SV80 @ ( res @ SV143 @ SV116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(604,plain,
! [SV144: pi,SV117: pi,SV81: name,SV41: name] :
( ( ! [SY444: pi] :
( ( input @ SV41 @ SV81 @ SV117 )
!= ( sum @ SV144 @ SY444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(605,plain,
! [SV145: late_freeRes,SV118: pi,SV83: name,SV43: name,SV1: name] :
( ( ! [SY445: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SV43 @ SV83 @ SV118 ) ) @ ( late_FreeR @ SV145 @ SY445 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(606,plain,
! [SV119: late_residual,SV84: pi,SV45: name,SV5: name] :
( ( late_transitions @ ( res @ SV5 @ ( input @ SV5 @ SV45 @ SV84 ) ) @ SV119 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(607,plain,
! [SV146: pi,SV120: late_freeRes,SV85: pi,SV46: name,SV6: name] :
( ( ~ ( late_transitions @ ( input @ SV6 @ SV46 @ SV85 ) @ ( late_FreeR @ SV120 @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(608,plain,
! [SV121: late_residual,SV86: pi,SV47: name,SV7: name] :
( ( late_transitions @ ( res @ SV7 @ ( output @ SV7 @ SV47 @ SV86 ) ) @ SV121 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(609,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ~ ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) ) )
| ~ ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(610,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(611,plain,
! [SV124: name,SV90: name,SV52: late_residual,SV12: pi] :
( ( ( ~ ( late_transitions @ SV12 @ SV52 ) )
= $true )
| ( ( ~ ( ( SV90 != SV124 ) )
| ( late_transitions @ ( mismatch @ SV90 @ SV124 @ SV12 ) @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(612,plain,
! [SV125: pi,SV91: pi,SV53: late_freeRes,SV13: pi] :
( ( ( ~ ( late_transitions @ SV13 @ ( late_FreeR @ SV53 @ SV91 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV13 @ SV125 ) @ ( late_FreeR @ SV53 @ ( par @ SV91 @ SV125 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(613,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(614,plain,
! [SV147: pi,SV126: name,SV93: pi,SV55: name,SV15: name] :
( ( ( mismatch @ SV15 @ SV55 @ SV93 )
!= ( res @ SV126 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(615,plain,
! [SV148: pi,SV127: late_freeRes,SV94: pi,SV56: name,SV16: late_subject] :
( ( ( late_BoundR @ SV16 @ SV56 @ SV94 )
!= ( late_FreeR @ SV127 @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(616,plain,
! [SV128: pi,SV95: late_freeRes,SV57: pi,SV17: name] :
( ( ( ~ ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) ) )
= $true )
| ( ( ~ ! [SY431: pi,SY432: late_freeRes,SY433: pi,SY434: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY434 @ SY431 ) )
| ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ SY432 @ ( res @ SY434 @ SY433 ) ) )
| ~ ( late_transitions @ SY431 @ ( late_FreeR @ SY432 @ SY433 ) )
| ~ ( fresh_1641682979reeRes @ SY434 @ SY432 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(617,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( ! [SY446: name,SY447: pi] : ( SV18 @ ( late_BoundR @ ( sK1_SY217 @ SV58 @ SV18 ) @ SY446 @ SY447 ) ) )
= $false )
| ( ( ~ ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) )
| ( SV18 @ SV58 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[582]) ).
thf(618,plain,
! [SV129: late_residual,SV96: pi,SV59: name,SV19: name] :
( ( ( ~ ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 ) )
= $true )
| ( ( ~ ! [SY435: pi,SY436: name,SY437: name] :
( ~ ~ ( ~ ~ ( ( SV19 != SY436 )
| ( SV59 != SY437 ) )
| ( SV96 != SY435 ) )
| ~ ( late_transitions @ SY435 @ SV129 )
| ( SY436 = SY437 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(619,plain,
! [SV130: pi,SV97: name,SV60: pi,SV20: pi] :
( ( ( par @ SV20 @ SV60 )
= ( res @ SV97 @ SV130 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(620,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
| ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(621,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= ( ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(622,plain,
! [SV132: pi,SV100: name,SV63: name,SV23: name] :
( ( ( ~ ( ( SV23 != SV63 ) ) )
= $true )
| ( ( ~ ( ( SV23 != SV100 ) )
| ( ( subs @ ( res @ SV23 @ SV132 ) @ SV63 @ SV100 )
= ( res @ SV23 @ ( subs @ SV132 @ SV63 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(623,plain,
! [SV149: pi,SV133: name,SV101: pi,SV64: name,SV24: name] :
( ( ( input @ SV24 @ SV64 @ SV101 )
!= ( res @ SV133 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(624,plain,
! [SV134: pi,SV102: name,SV65: pi,SV25: pi] :
( ( ( sum @ SV25 @ SV65 )
= ( res @ SV102 @ SV134 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(625,plain,
! [SV150: pi,SV135: pi,SV103: pi,SV66: name,SV26: name] :
( ( ( output @ SV26 @ SV66 @ SV103 )
!= ( sum @ SV135 @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(626,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ~ ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
| ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
| ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(627,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= ( ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(628,plain,
! [SV105: pi,SV68: late_residual,SV28: pi] :
( ( ( late_transitions @ SV28 @ SV68 )
= $false )
| ( ( late_transitions @ ( sum @ SV28 @ SV105 ) @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(629,plain,
! [SV106: late_residual,SV69: pi,SV29: pi] :
( ( ( late_transitions @ ( sum @ SV29 @ SV69 ) @ SV106 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV29 @ SV106 )
| ( late_transitions @ SV69 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(630,plain,
! [SV107: pi,SV70: late_residual,SV30: pi] :
( ( ( late_transitions @ SV30 @ SV70 )
= $false )
| ( ( late_transitions @ ( sum @ SV107 @ SV30 ) @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(631,plain,
! [SV151: pi > $o,SV137: pi,SV108: late_freeRes,SV71: pi,SV31: name] :
( ( ~ ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
| ~ ! [SY448: pi] :
( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ SY448 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SV151 @ ( res @ SV31 @ SY448 ) ) )
| ( SV151 @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(632,plain,
! [SV152: name > name > $o,SV138: late_residual,SV109: pi,SV72: name,SV32: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
| ~ ( ~ ( late_transitions @ SV109 @ SV138 )
| ~ ( ( SV32 != SV72 ) )
| ( SV152 @ SV32 @ SV72 ) )
| ( SV152 @ SV32 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(633,plain,
! [SV153: pi,SV139: name,SV110: pi,SV73: name,SV33: name] :
( ( ( output @ SV33 @ SV73 @ SV110 )
!= ( res @ SV139 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(634,plain,
! [SV111: late_residual,SV74: pi,SV34: pi] :
( ( ( late_transitions @ ( sum @ SV34 @ SV74 ) @ SV111 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV34 @ SV111 )
| ( late_transitions @ SV74 @ SV111 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(635,plain,
! [SV140: pi,SV112: pi,SV75: pi,SV35: pi] :
( ( ( sum @ SV35 @ SV75 )
= ( par @ SV112 @ SV140 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(636,plain,
! [SV141: name,SV114: pi,SV78: late_freeRes,SV38: pi] :
( ( ( ~ ( late_transitions @ SV38 @ ( late_FreeR @ SV78 @ SV114 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV141 @ SV38 )
| ( fresh_name_pi @ SV141 @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(637,plain,
! [SV142: pi,SV115: pi,SV79: late_freeRes,SV39: pi] :
( ( ( ~ ( late_transitions @ SV39 @ ( late_FreeR @ SV79 @ SV115 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV142 @ SV39 ) @ ( late_FreeR @ SV79 @ ( par @ SV142 @ SV115 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(638,plain,
! [SV143: name,SV116: pi,SV80: late_freeRes,SV40: pi] :
( ( ( ~ ( late_transitions @ SV40 @ ( late_FreeR @ SV80 @ SV116 ) ) )
= $true )
| ( ( ~ ( fresh_1641682979reeRes @ SV143 @ SV80 )
| ( late_transitions @ ( res @ SV143 @ SV40 ) @ ( late_FreeR @ SV80 @ ( res @ SV143 @ SV116 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(639,plain,
! [SV154: pi,SV144: pi,SV117: pi,SV81: name,SV41: name] :
( ( ( input @ SV41 @ SV81 @ SV117 )
!= ( sum @ SV144 @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(640,plain,
! [SV155: pi,SV145: late_freeRes,SV118: pi,SV83: name,SV43: name,SV1: name] :
( ( ~ ( late_transitions @ ( res @ SV1 @ ( input @ SV43 @ SV83 @ SV118 ) ) @ ( late_FreeR @ SV145 @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(641,plain,
! [SV146: pi,SV120: late_freeRes,SV85: pi,SV46: name,SV6: name] :
( ( late_transitions @ ( input @ SV6 @ SV46 @ SV85 ) @ ( late_FreeR @ SV120 @ SV146 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(642,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ~ ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true )
| ( ( ~ ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(643,plain,
! [SV124: name,SV90: name,SV52: late_residual,SV12: pi] :
( ( ( late_transitions @ SV12 @ SV52 )
= $false )
| ( ( ~ ( ( SV90 != SV124 ) )
| ( late_transitions @ ( mismatch @ SV90 @ SV124 @ SV12 ) @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(644,plain,
! [SV125: pi,SV91: pi,SV53: late_freeRes,SV13: pi] :
( ( ( late_transitions @ SV13 @ ( late_FreeR @ SV53 @ SV91 ) )
= $false )
| ( ( late_transitions @ ( par @ SV13 @ SV125 ) @ ( late_FreeR @ SV53 @ ( par @ SV91 @ SV125 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(645,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(646,plain,
! [SV147: pi,SV126: name,SV93: pi,SV55: name,SV15: name] :
( ( ( mismatch @ SV15 @ SV55 @ SV93 )
= ( res @ SV126 @ SV147 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(647,plain,
! [SV148: pi,SV127: late_freeRes,SV94: pi,SV56: name,SV16: late_subject] :
( ( ( late_BoundR @ SV16 @ SV56 @ SV94 )
= ( late_FreeR @ SV127 @ SV148 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(648,plain,
! [SV128: pi,SV95: late_freeRes,SV57: pi,SV17: name] :
( ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false )
| ( ( ~ ! [SY431: pi,SY432: late_freeRes,SY433: pi,SY434: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY434 @ SY431 ) )
| ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ SY432 @ ( res @ SY434 @ SY433 ) ) )
| ~ ( late_transitions @ SY431 @ ( late_FreeR @ SY432 @ SY433 ) )
| ~ ( fresh_1641682979reeRes @ SY434 @ SY432 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(649,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( ! [SY449: pi] : ( SV18 @ ( late_BoundR @ ( sK1_SY217 @ SV58 @ SV18 ) @ ( sK2_SY446 @ SV58 @ SV18 ) @ SY449 ) ) )
= $false )
| ( ( ~ ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) )
| ( SV18 @ SV58 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[617]) ).
thf(650,plain,
! [SV129: late_residual,SV96: pi,SV59: name,SV19: name] :
( ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false )
| ( ( ~ ! [SY435: pi,SY436: name,SY437: name] :
( ~ ~ ( ~ ~ ( ( SV19 != SY436 )
| ( SV59 != SY437 ) )
| ( SV96 != SY435 ) )
| ~ ( late_transitions @ SY435 @ SV129 )
| ( SY436 = SY437 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(651,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(652,plain,
! [SV132: pi,SV100: name,SV63: name,SV23: name] :
( ( ( SV23 != SV63 )
= $false )
| ( ( ~ ( ( SV23 != SV100 ) )
| ( ( subs @ ( res @ SV23 @ SV132 ) @ SV63 @ SV100 )
= ( res @ SV23 @ ( subs @ SV132 @ SV63 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(653,plain,
! [SV149: pi,SV133: name,SV101: pi,SV64: name,SV24: name] :
( ( ( input @ SV24 @ SV64 @ SV101 )
= ( res @ SV133 @ SV149 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(654,plain,
! [SV150: pi,SV135: pi,SV103: pi,SV66: name,SV26: name] :
( ( ( output @ SV26 @ SV66 @ SV103 )
= ( sum @ SV135 @ SV150 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(655,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ~ ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
| ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true )
| ( ( ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(656,plain,
! [SV69: pi,SV106: late_residual,SV29: pi] :
( ( ( ~ ~ ( late_transitions @ SV29 @ SV106 ) )
= $true )
| ( ( late_transitions @ SV69 @ SV106 )
= $true )
| ( ( late_transitions @ ( sum @ SV29 @ SV69 ) @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(657,plain,
! [SV151: pi > $o,SV137: pi,SV108: late_freeRes,SV71: pi,SV31: name] :
( ( ( ~ ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) ) )
= $true )
| ( ( ~ ! [SY448: pi] :
( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ SY448 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SV151 @ ( res @ SV31 @ SY448 ) ) )
| ( SV151 @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(658,plain,
! [SV152: name > name > $o,SV138: late_residual,SV109: pi,SV72: name,SV32: name] :
( ( ( ~ ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 ) )
= $true )
| ( ( ~ ( ~ ( late_transitions @ SV109 @ SV138 )
| ~ ( ( SV32 != SV72 ) )
| ( SV152 @ SV32 @ SV72 ) )
| ( SV152 @ SV32 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(659,plain,
! [SV153: pi,SV139: name,SV110: pi,SV73: name,SV33: name] :
( ( ( output @ SV33 @ SV73 @ SV110 )
= ( res @ SV139 @ SV153 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(660,plain,
! [SV74: pi,SV111: late_residual,SV34: pi] :
( ( ( ~ ~ ( late_transitions @ SV34 @ SV111 ) )
= $true )
| ( ( late_transitions @ SV74 @ SV111 )
= $true )
| ( ( late_transitions @ ( sum @ SV34 @ SV74 ) @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(661,plain,
! [SV141: name,SV114: pi,SV78: late_freeRes,SV38: pi] :
( ( ( late_transitions @ SV38 @ ( late_FreeR @ SV78 @ SV114 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV141 @ SV38 )
| ( fresh_name_pi @ SV141 @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(662,plain,
! [SV142: pi,SV115: pi,SV79: late_freeRes,SV39: pi] :
( ( ( late_transitions @ SV39 @ ( late_FreeR @ SV79 @ SV115 ) )
= $false )
| ( ( late_transitions @ ( par @ SV142 @ SV39 ) @ ( late_FreeR @ SV79 @ ( par @ SV142 @ SV115 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(663,plain,
! [SV143: name,SV116: pi,SV80: late_freeRes,SV40: pi] :
( ( ( late_transitions @ SV40 @ ( late_FreeR @ SV80 @ SV116 ) )
= $false )
| ( ( ~ ( fresh_1641682979reeRes @ SV143 @ SV80 )
| ( late_transitions @ ( res @ SV143 @ SV40 ) @ ( late_FreeR @ SV80 @ ( res @ SV143 @ SV116 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(664,plain,
! [SV154: pi,SV144: pi,SV117: pi,SV81: name,SV41: name] :
( ( ( input @ SV41 @ SV81 @ SV117 )
= ( sum @ SV144 @ SV154 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(665,plain,
! [SV155: pi,SV145: late_freeRes,SV118: pi,SV83: name,SV43: name,SV1: name] :
( ( late_transitions @ ( res @ SV1 @ ( input @ SV43 @ SV83 @ SV118 ) ) @ ( late_FreeR @ SV145 @ SV155 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(666,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(667,plain,
! [SV52: late_residual,SV12: pi,SV124: name,SV90: name] :
( ( ( ~ ( ( SV90 != SV124 ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV90 @ SV124 @ SV12 ) @ SV52 )
= $true )
| ( ( late_transitions @ SV12 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(668,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(669,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(670,plain,
! [SV128: pi,SV95: late_freeRes,SV57: pi,SV17: name] :
( ( ( ! [SY431: pi,SY432: late_freeRes,SY433: pi,SY434: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY434 @ SY431 ) )
| ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ SY432 @ ( res @ SY434 @ SY433 ) ) )
| ~ ( late_transitions @ SY431 @ ( late_FreeR @ SY432 @ SY433 ) )
| ~ ( fresh_1641682979reeRes @ SY434 @ SY432 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(671,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( SV18 @ ( late_BoundR @ ( sK1_SY217 @ SV58 @ SV18 ) @ ( sK2_SY446 @ SV58 @ SV18 ) @ ( sK3_SY449 @ SV58 @ SV18 ) ) )
= $false )
| ( ( ~ ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) )
| ( SV18 @ SV58 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[649]) ).
thf(672,plain,
! [SV129: late_residual,SV96: pi,SV59: name,SV19: name] :
( ( ( ! [SY435: pi,SY436: name,SY437: name] :
( ~ ~ ( ~ ~ ( ( SV19 != SY436 )
| ( SV59 != SY437 ) )
| ( SV96 != SY435 ) )
| ~ ( late_transitions @ SY435 @ SV129 )
| ( SY436 = SY437 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(673,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(674,plain,
! [SV132: pi,SV100: name,SV63: name,SV23: name] :
( ( ( SV23 = SV63 )
= $true )
| ( ( ~ ( ( SV23 != SV100 ) )
| ( ( subs @ ( res @ SV23 @ SV132 ) @ SV63 @ SV100 )
= ( res @ SV23 @ ( subs @ SV132 @ SV63 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(675,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
| ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
= $false )
| ( ( ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(676,plain,
! [SV69: pi,SV106: late_residual,SV29: pi] :
( ( ( ~ ( late_transitions @ SV29 @ SV106 ) )
= $false )
| ( ( late_transitions @ SV69 @ SV106 )
= $true )
| ( ( late_transitions @ ( sum @ SV29 @ SV69 ) @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(677,plain,
! [SV151: pi > $o,SV137: pi,SV108: late_freeRes,SV71: pi,SV31: name] :
( ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false )
| ( ( ~ ! [SY448: pi] :
( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ SY448 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SV151 @ ( res @ SV31 @ SY448 ) ) )
| ( SV151 @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(678,plain,
! [SV152: name > name > $o,SV138: late_residual,SV109: pi,SV72: name,SV32: name] :
( ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false )
| ( ( ~ ( ~ ( late_transitions @ SV109 @ SV138 )
| ~ ( ( SV32 != SV72 ) )
| ( SV152 @ SV32 @ SV72 ) )
| ( SV152 @ SV32 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(679,plain,
! [SV74: pi,SV111: late_residual,SV34: pi] :
( ( ( ~ ( late_transitions @ SV34 @ SV111 ) )
= $false )
| ( ( late_transitions @ SV74 @ SV111 )
= $true )
| ( ( late_transitions @ ( sum @ SV34 @ SV74 ) @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(680,plain,
! [SV78: late_freeRes,SV114: pi,SV38: pi,SV141: name] :
( ( ( ~ ( fresh_name_pi @ SV141 @ SV38 ) )
= $true )
| ( ( fresh_name_pi @ SV141 @ SV114 )
= $true )
| ( ( late_transitions @ SV38 @ ( late_FreeR @ SV78 @ SV114 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(681,plain,
! [SV116: pi,SV40: pi,SV80: late_freeRes,SV143: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV143 @ SV80 ) )
= $true )
| ( ( late_transitions @ ( res @ SV143 @ SV40 ) @ ( late_FreeR @ SV80 @ ( res @ SV143 @ SV116 ) ) )
= $true )
| ( ( late_transitions @ SV40 @ ( late_FreeR @ SV80 @ SV116 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(682,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(683,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(684,plain,
! [SV52: late_residual,SV12: pi,SV124: name,SV90: name] :
( ( ( SV90 != SV124 )
= $false )
| ( ( late_transitions @ ( mismatch @ SV90 @ SV124 @ SV12 ) @ SV52 )
= $true )
| ( ( late_transitions @ SV12 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(685,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(686,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(687,plain,
! [SV95: late_freeRes,SV128: pi,SV57: pi,SV17: name] :
( ( ( ! [SY450: late_freeRes,SY451: pi,SY452: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY452 @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) ) )
| ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ SY450 @ ( res @ SY452 @ SY451 ) ) )
| ~ ( late_transitions @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) @ ( late_FreeR @ SY450 @ SY451 ) )
| ~ ( fresh_1641682979reeRes @ SY452 @ SY450 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[670]) ).
thf(688,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( ~ ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) ) )
= $true )
| ( ( SV18 @ SV58 )
= $true )
| ( ( SV18 @ ( late_BoundR @ ( sK1_SY217 @ SV58 @ SV18 ) @ ( sK2_SY446 @ SV58 @ SV18 ) @ ( sK3_SY449 @ SV58 @ SV18 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(689,plain,
! [SV129: late_residual,SV96: pi,SV59: name,SV19: name] :
( ( ( ! [SY453: name,SY454: name] :
( ~ ~ ( ~ ~ ( ( SV19 != SY453 )
| ( SV59 != SY454 ) )
| ( SV96
!= ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) ) )
| ~ ( late_transitions @ ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) @ SV129 )
| ( SY453 = SY454 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[672]) ).
thf(690,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(691,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(692,plain,
! [SV63: name,SV132: pi,SV100: name,SV23: name] :
( ( ( ~ ( ( SV23 != SV100 ) ) )
= $true )
| ( ( ( subs @ ( res @ SV23 @ SV132 ) @ SV63 @ SV100 )
= ( res @ SV23 @ ( subs @ SV132 @ SV63 @ SV100 ) ) )
= $true )
| ( ( SV23 = SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(693,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false )
| ( ( ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(694,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
= $false )
| ( ( ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(695,plain,
! [SV69: pi,SV106: late_residual,SV29: pi] :
( ( ( late_transitions @ SV29 @ SV106 )
= $true )
| ( ( late_transitions @ SV69 @ SV106 )
= $true )
| ( ( late_transitions @ ( sum @ SV29 @ SV69 ) @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(696,plain,
! [SV137: pi,SV151: pi > $o,SV31: name,SV108: late_freeRes,SV71: pi] :
( ( ( ~ ! [SY448: pi] :
( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ SY448 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SV151 @ ( res @ SV31 @ SY448 ) ) ) )
= $true )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(697,plain,
! [SV152: name > name > $o,SV72: name,SV32: name,SV138: late_residual,SV109: pi] :
( ( ( ~ ( ~ ( late_transitions @ SV109 @ SV138 )
| ~ ( ( SV32 != SV72 ) )
| ( SV152 @ SV32 @ SV72 ) ) )
= $true )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(698,plain,
! [SV74: pi,SV111: late_residual,SV34: pi] :
( ( ( late_transitions @ SV34 @ SV111 )
= $true )
| ( ( late_transitions @ SV74 @ SV111 )
= $true )
| ( ( late_transitions @ ( sum @ SV34 @ SV74 ) @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(699,plain,
! [SV78: late_freeRes,SV114: pi,SV38: pi,SV141: name] :
( ( ( fresh_name_pi @ SV141 @ SV38 )
= $false )
| ( ( fresh_name_pi @ SV141 @ SV114 )
= $true )
| ( ( late_transitions @ SV38 @ ( late_FreeR @ SV78 @ SV114 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(700,plain,
! [SV116: pi,SV40: pi,SV80: late_freeRes,SV143: name] :
( ( ( fresh_1641682979reeRes @ SV143 @ SV80 )
= $false )
| ( ( late_transitions @ ( res @ SV143 @ SV40 ) @ ( late_FreeR @ SV80 @ ( res @ SV143 @ SV116 ) ) )
= $true )
| ( ( late_transitions @ SV40 @ ( late_FreeR @ SV80 @ SV116 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(701,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) )
= $false )
| ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(702,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ! [SV156: name] :
( ( abs_fun_name_pi @ SV10 @ SV50 @ SV156 )
= ( abs_fun_name_pi @ SV88 @ SV123 @ SV156 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[683]) ).
thf(703,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[683]) ).
thf(704,plain,
! [SV52: late_residual,SV12: pi,SV124: name,SV90: name] :
( ( ( SV90 = SV124 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV90 @ SV124 @ SV12 ) @ SV52 )
= $true )
| ( ( late_transitions @ SV12 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(705,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(706,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(707,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ SV54 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV14 @ SV92 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(708,plain,
! [SV95: late_freeRes,SV128: pi,SV57: pi,SV17: name] :
( ( ( ! [SY455: pi,SY456: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY456 @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) ) )
| ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( res @ SY456 @ SY455 ) ) )
| ~ ( late_transitions @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) @ ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ SY455 ) )
| ~ ( fresh_1641682979reeRes @ SY456 @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[687]) ).
thf(709,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( ! [SY220: late_freeRes,SY221: pi] : ( SV18 @ ( late_FreeR @ SY220 @ SY221 ) ) )
= $false )
| ( ( SV18 @ SV58 )
= $true )
| ( ( SV18 @ ( late_BoundR @ ( sK1_SY217 @ SV58 @ SV18 ) @ ( sK2_SY446 @ SV58 @ SV18 ) @ ( sK3_SY449 @ SV58 @ SV18 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(710,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( ! [SY457: name] :
( ~ ~ ( ~ ~ ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
| ( SV59 != SY457 ) )
| ( SV96
!= ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) ) )
| ~ ( late_transitions @ ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) @ SV129 )
| ( ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 )
= SY457 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[689]) ).
thf(711,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
= $false )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(712,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( ( SV21 != SV98 )
| ( SV61 != SV131 ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(713,plain,
! [SV63: name,SV132: pi,SV100: name,SV23: name] :
( ( ( SV23 != SV100 )
= $false )
| ( ( ( subs @ ( res @ SV23 @ SV132 ) @ SV63 @ SV100 )
= ( res @ SV23 @ ( subs @ SV132 @ SV63 @ SV100 ) ) )
= $true )
| ( ( SV23 = SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(714,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
= $false )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(715,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( ( SV27 != SV104 )
| ( SV67 != SV136 ) )
= $true )
| ( ( ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(716,plain,
! [SV137: pi,SV151: pi > $o,SV31: name,SV108: late_freeRes,SV71: pi] :
( ( ( ! [SY448: pi] :
( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ SY448 ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SV151 @ ( res @ SV31 @ SY448 ) ) ) )
= $false )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(717,plain,
! [SV152: name > name > $o,SV72: name,SV32: name,SV138: late_residual,SV109: pi] :
( ( ( ~ ( late_transitions @ SV109 @ SV138 )
| ~ ( ( SV32 != SV72 ) )
| ( SV152 @ SV32 @ SV72 ) )
= $false )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(718,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
= $false )
| ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(719,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false )
| ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(720,plain,
! [SV88: name,SV123: pi,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[702]) ).
thf(721,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(722,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $true )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(723,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
= $true )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(724,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV14 @ SV92 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(725,plain,
! [SV95: late_freeRes,SV128: pi,SV57: pi,SV17: name] :
( ( ( ! [SY458: name] :
( ( ( res @ SV17 @ SV57 )
!= ( res @ SY458 @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) ) )
| ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( res @ SY458 @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) ) )
| ~ ( late_transitions @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) @ ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
| ~ ( fresh_1641682979reeRes @ SY458 @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[708]) ).
thf(726,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( ! [SY459: pi] : ( SV18 @ ( late_FreeR @ ( sK10_SY220 @ SV58 @ SV18 ) @ SY459 ) ) )
= $false )
| ( ( SV18 @ SV58 )
= $true )
| ( ( SV18 @ ( late_BoundR @ ( sK1_SY217 @ SV58 @ SV18 ) @ ( sK2_SY446 @ SV58 @ SV18 ) @ ( sK3_SY449 @ SV58 @ SV18 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[709]) ).
thf(727,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( ~ ~ ( ~ ~ ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
| ( SV59
!= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) )
| ( SV96
!= ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) ) )
| ~ ( late_transitions @ ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) @ SV129 )
| ( ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 )
= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[710]) ).
thf(728,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
= $false )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(729,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
= $false )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(730,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( SV21 != SV98 )
= $true )
| ( ( SV61 != SV131 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(731,plain,
! [SV63: name,SV132: pi,SV100: name,SV23: name] :
( ( ( SV23 = SV100 )
= $true )
| ( ( ( subs @ ( res @ SV23 @ SV132 ) @ SV63 @ SV100 )
= ( res @ SV23 @ ( subs @ SV132 @ SV63 @ SV100 ) ) )
= $true )
| ( ( SV23 = SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(732,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
= $false )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(733,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
= $false )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(734,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( SV27 != SV104 )
= $true )
| ( ( SV67 != SV136 )
= $true )
| ( ( ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(735,plain,
! [SV31: name,SV151: pi > $o,SV137: pi,SV108: late_freeRes,SV71: pi] :
( ( ( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ ( sK12_SY448 @ SV137 @ SV151 @ SV31 @ SV108 @ SV71 ) ) )
| ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SV151 @ ( res @ SV31 @ ( sK12_SY448 @ SV137 @ SV151 @ SV31 @ SV108 @ SV71 ) ) ) )
= $false )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[716]) ).
thf(736,plain,
! [SV72: name,SV32: name,SV152: name > name > $o,SV138: late_residual,SV109: pi] :
( ( ( ~ ( late_transitions @ SV109 @ SV138 ) )
= $false )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(737,plain,
! [SV138: late_residual,SV109: pi,SV152: name > name > $o,SV72: name,SV32: name] :
( ( ( ~ ( ( SV32 != SV72 ) )
| ( SV152 @ SV32 @ SV72 ) )
= $false )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(738,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $true )
| ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(739,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $true )
| ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(740,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(741,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(742,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(743,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(744,plain,
! [SV54: pi,SV92: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ SV92 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(745,plain,
! [SV128: pi,SV95: late_freeRes,SV57: pi,SV17: name] :
( ( ( ( ( res @ SV17 @ SV57 )
!= ( res @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) ) )
| ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( res @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) ) )
| ~ ( late_transitions @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) @ ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[725]) ).
thf(746,plain,
! [SV58: late_residual,SV18: late_residual > $o] :
( ( ( SV18 @ ( late_FreeR @ ( sK10_SY220 @ SV58 @ SV18 ) @ ( sK14_SY459 @ SV58 @ SV18 ) ) )
= $false )
| ( ( SV18 @ SV58 )
= $true )
| ( ( SV18 @ ( late_BoundR @ ( sK1_SY217 @ SV58 @ SV18 ) @ ( sK2_SY446 @ SV58 @ SV18 ) @ ( sK3_SY449 @ SV58 @ SV18 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[726]) ).
thf(747,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( ~ ~ ( ~ ~ ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
| ( SV59
!= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) )
| ( SV96
!= ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(748,plain,
! [SV19: name,SV59: name,SV96: pi,SV129: late_residual] :
( ( ( ~ ( late_transitions @ ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) @ SV129 )
| ( ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 )
= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(749,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $true )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(750,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
= $true )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(751,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( SV21 = SV98 )
= $false )
| ( ( SV61 != SV131 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(752,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $true )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(753,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
= $true )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(754,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( SV27 = SV104 )
= $false )
| ( ( SV67 != SV136 )
= $true )
| ( ( ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(755,plain,
! [SV31: name,SV151: pi > $o,SV137: pi,SV108: late_freeRes,SV71: pi] :
( ( ( ~ ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ ( sK12_SY448 @ SV137 @ SV151 @ SV31 @ SV108 @ SV71 ) ) ) )
= $false )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(756,plain,
! [SV71: pi,SV137: pi,SV151: pi > $o,SV108: late_freeRes,SV31: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV31 @ SV108 )
| ( SV151 @ ( res @ SV31 @ ( sK12_SY448 @ SV137 @ SV151 @ SV31 @ SV108 @ SV71 ) ) ) )
= $false )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(757,plain,
! [SV72: name,SV32: name,SV152: name > name > $o,SV138: late_residual,SV109: pi] :
( ( ( late_transitions @ SV109 @ SV138 )
= $true )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(758,plain,
! [SV138: late_residual,SV109: pi,SV152: name > name > $o,SV72: name,SV32: name] :
( ( ( ~ ( ( SV32 != SV72 ) ) )
= $false )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(759,plain,
! [SV138: late_residual,SV109: pi,SV72: name,SV32: name,SV152: name > name > $o] :
( ( ( SV152 @ SV32 @ SV72 )
= $false )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(760,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ! [SV157: name] :
( ( abs_fun_name_pi @ SV10 @ SV50 @ SV157 )
= ( abs_fun_name_pi @ SV88 @ SV123 @ SV157 ) ) )
= $true )
| ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[739]) ).
thf(761,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $true )
| ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[739]) ).
thf(762,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
!= ( res @ SV88 @ SV123 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(763,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
!= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(764,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(765,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(766,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ SV54 ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(767,plain,
! [SV54: pi,SV92: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ SV92 ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(768,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(769,plain,
! [SV128: pi,SV95: late_freeRes,SV57: pi,SV17: name] :
( ( ( ( res @ SV17 @ SV57 )
!= ( res @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(770,plain,
! [SV17: name,SV57: pi,SV128: pi,SV95: late_freeRes] :
( ( ( ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( res @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) ) )
| ~ ( late_transitions @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) @ ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(771,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( ~ ( ~ ~ ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
| ( SV59
!= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) )
| ( SV96
!= ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(772,plain,
! [SV19: name,SV59: name,SV96: pi,SV129: late_residual] :
( ( ( ~ ( late_transitions @ ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) @ SV129 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[748]) ).
thf(773,plain,
! [SV19: name,SV59: name,SV96: pi,SV129: late_residual] :
( ( ( ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 )
= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[748]) ).
thf(774,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( ( SV21 != SV98 )
| ( SV61 != SV131 ) )
= $false )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(775,plain,
! [SV98: late_freeRes,SV21: late_freeRes,SV131: pi,SV61: pi] :
( ( ( SV61 = SV131 )
= $false )
| ( ( SV21 = SV98 )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(776,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( ( SV27 != SV104 )
| ( SV67 != SV136 ) )
= $false )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(777,plain,
! [SV104: pi,SV27: pi,SV136: pi,SV67: pi] :
( ( ( SV67 = SV136 )
= $false )
| ( ( SV27 = SV104 )
= $false )
| ( ( ~ ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(778,plain,
! [SV31: name,SV151: pi > $o,SV137: pi,SV108: late_freeRes,SV71: pi] :
( ( ( late_transitions @ SV71 @ ( late_FreeR @ SV108 @ ( sK12_SY448 @ SV137 @ SV151 @ SV31 @ SV108 @ SV71 ) ) )
= $true )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(779,plain,
! [SV71: pi,SV137: pi,SV151: pi > $o,SV108: late_freeRes,SV31: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV31 @ SV108 ) )
= $false )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(780,plain,
! [SV71: pi,SV108: late_freeRes,SV137: pi,SV31: name,SV151: pi > $o] :
( ( ( SV151 @ ( res @ SV31 @ ( sK12_SY448 @ SV137 @ SV151 @ SV31 @ SV108 @ SV71 ) ) )
= $false )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(781,plain,
! [SV138: late_residual,SV109: pi,SV152: name > name > $o,SV72: name,SV32: name] :
( ( ( SV32 != SV72 )
= $true )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(782,plain,
! [SV123: pi,SV88: name,SV158: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ SV158 )
= ( abs_fun_name_pi @ SV88 @ SV123 @ SV158 ) )
= $true )
| ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(783,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV50 )
= ( res @ SV88 @ SV123 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(784,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(785,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ! [SV159: name] :
( ( abs_fun_name_pi @ SV10 @ SV50 @ SV159 )
= ( abs_fun_name_pi @ SV88 @ SV123 @ SV159 ) ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[765]) ).
thf(786,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[765]) ).
thf(787,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ SV54 )
= $true )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(788,plain,
! [SV54: pi,SV92: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ SV92 )
= $true )
| ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(789,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(790,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(791,plain,
! [SV128: pi,SV95: late_freeRes,SV57: pi,SV17: name] :
( ( ( ( res @ SV17 @ SV57 )
= ( res @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(792,plain,
! [SV17: name,SV57: pi,SV128: pi,SV95: late_freeRes] :
( ( ( ( late_FreeR @ SV95 @ SV128 )
!= ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( res @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(793,plain,
! [SV17: name,SV57: pi,SV95: late_freeRes,SV128: pi] :
( ( ( ~ ( late_transitions @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) @ ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(794,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( ~ ~ ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
| ( SV59
!= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) )
| ( SV96
!= ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(795,plain,
! [SV19: name,SV59: name,SV96: pi,SV129: late_residual] :
( ( ( late_transitions @ ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) @ SV129 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(796,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( SV21 != SV98 )
= $false )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(797,plain,
! [SV98: late_freeRes,SV21: late_freeRes,SV131: pi,SV61: pi] :
( ( ( SV61 != SV131 )
= $false )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(798,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
| ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
= $false )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(799,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( SV27 != SV104 )
= $false )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(800,plain,
! [SV104: pi,SV27: pi,SV136: pi,SV67: pi] :
( ( ( SV67 != SV136 )
= $false )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(801,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
| ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
= $false )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(802,plain,
! [SV71: pi,SV137: pi,SV151: pi > $o,SV108: late_freeRes,SV31: name] :
( ( ( fresh_1641682979reeRes @ SV31 @ SV108 )
= $true )
| ( ( SV151 @ SV137 )
= $true )
| ( ( late_transitions @ ( res @ SV31 @ SV71 ) @ ( late_FreeR @ SV108 @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(803,plain,
! [SV138: late_residual,SV109: pi,SV152: name > name > $o,SV72: name,SV32: name] :
( ( ( SV32 = SV72 )
= $false )
| ( ( SV152 @ SV32 @ SV72 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV32 @ SV72 @ SV109 ) @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(804,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ! [SV160: name] :
( ( abs_fun_name_pi @ SV10 @ SV50 @ SV160 )
= ( abs_fun_name_pi @ SV88 @ SV123 @ SV160 ) ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[784]) ).
thf(805,plain,
! [SV123: pi,SV88: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[784]) ).
thf(806,plain,
! [SV123: pi,SV88: name,SV161: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ SV161 )
= ( abs_fun_name_pi @ SV88 @ SV123 @ SV161 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 )
= ( abs_fun_name_pi @ SV88 @ SV123 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(807,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ ( sum @ SV54 @ SV92 ) )
= $true )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(808,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) ) )
= $true )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(809,plain,
! [SV17: name,SV57: pi,SV128: pi,SV95: late_freeRes] :
( ( ( ( late_FreeR @ SV95 @ SV128 )
= ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( res @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(810,plain,
! [SV17: name,SV57: pi,SV95: late_freeRes,SV128: pi] :
( ( ( ~ ( late_transitions @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) @ ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(811,plain,
! [SV17: name,SV57: pi,SV128: pi,SV95: late_freeRes] :
( ( ( ~ ( fresh_1641682979reeRes @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(812,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( ~ ~ ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
| ( SV59
!= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(813,plain,
! [SV19: name,SV59: name,SV129: late_residual,SV96: pi] :
( ( ( SV96
!= ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(814,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( SV21 = SV98 )
= $true )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(815,plain,
! [SV98: late_freeRes,SV21: late_freeRes,SV131: pi,SV61: pi] :
( ( ( SV61 = SV131 )
= $true )
| ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(816,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( late_FreeR @ SV21 @ SV61 )
!= ( late_FreeR @ SV98 @ SV131 ) )
= $false )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(817,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( ~ ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
= $false )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(818,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( SV27 = SV104 )
= $true )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(819,plain,
! [SV104: pi,SV27: pi,SV136: pi,SV67: pi] :
( ( ( SV67 = SV136 )
= $true )
| ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(820,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( sum @ SV27 @ SV67 )
!= ( sum @ SV104 @ SV136 ) )
= $false )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(821,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( ~ ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
= $false )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(822,plain,
! [SV123: pi,SV88: name,SV162: name,SV50: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ SV162 )
= ( abs_fun_name_pi @ SV88 @ SV123 @ SV162 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV50 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) )
= ( abs_fun_name_pi @ SV88 @ SV123 @ ( sK8_SV156 @ SV123 @ SV88 @ SV50 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(823,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ SV54 )
| ~ ( fresh_name_pi @ SV14 @ SV92 ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(824,plain,
! [SV17: name,SV57: pi,SV95: late_freeRes,SV128: pi] :
( ( ( late_transitions @ ( sK4_SY431 @ SV128 @ SV95 @ SV57 @ SV17 ) @ ( late_FreeR @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK9_SY455 @ SV95 @ SV128 @ SV57 @ SV17 ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(825,plain,
! [SV17: name,SV57: pi,SV128: pi,SV95: late_freeRes] :
( ( ( fresh_1641682979reeRes @ ( sK13_SY458 @ SV95 @ SV128 @ SV57 @ SV17 ) @ ( sK6_SY450 @ SV95 @ SV128 @ SV57 @ SV17 ) )
= $true )
| ( ( late_transitions @ ( res @ SV17 @ SV57 ) @ ( late_FreeR @ SV95 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(826,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( ~ ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
| ( SV59
!= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(827,plain,
! [SV19: name,SV59: name,SV129: late_residual,SV96: pi] :
( ( ( SV96
= ( sK5_SY435 @ SV129 @ SV96 @ SV59 @ SV19 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(828,plain,
! [SV131: pi,SV98: late_freeRes,SV61: pi,SV21: late_freeRes] :
( ( ( ( late_FreeR @ SV21 @ SV61 )
= ( late_FreeR @ SV98 @ SV131 ) )
= $true )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(829,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( ~ ( ( SV21 != SV98 )
| ( SV61 != SV131 ) ) )
= $true )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(830,plain,
! [SV136: pi,SV104: pi,SV67: pi,SV27: pi] :
( ( ( ( sum @ SV27 @ SV67 )
= ( sum @ SV104 @ SV136 ) )
= $true )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(831,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( ~ ( ( SV27 != SV104 )
| ( SV67 != SV136 ) ) )
= $true )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(832,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ SV54 ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(833,plain,
! [SV54: pi,SV92: pi,SV14: name] :
( ( ( ~ ( fresh_name_pi @ SV14 @ SV92 ) )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(834,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
| ( SV59
!= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(835,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( ( SV21 != SV98 )
| ( SV61 != SV131 ) )
= $false )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(836,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( ( SV27 != SV104 )
| ( SV67 != SV136 ) )
= $false )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(837,plain,
! [SV92: pi,SV54: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ SV54 )
= $true )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(838,plain,
! [SV54: pi,SV92: pi,SV14: name] :
( ( ( fresh_name_pi @ SV14 @ SV92 )
= $true )
| ( ( fresh_name_pi @ SV14 @ SV54 )
= $false )
| ( ( fresh_name_pi @ SV14 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(839,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( SV19
!= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(840,plain,
! [SV19: name,SV129: late_residual,SV96: pi,SV59: name] :
( ( ( SV59
!= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(841,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( SV21 != SV98 )
= $false )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(842,plain,
! [SV98: late_freeRes,SV21: late_freeRes,SV131: pi,SV61: pi] :
( ( ( SV61 != SV131 )
= $false )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(843,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( SV27 != SV104 )
= $false )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(844,plain,
! [SV104: pi,SV27: pi,SV136: pi,SV67: pi] :
( ( ( SV67 != SV136 )
= $false )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(845,plain,
! [SV59: name,SV96: pi,SV129: late_residual,SV19: name] :
( ( ( SV19
= ( sK7_SY453 @ SV129 @ SV96 @ SV59 @ SV19 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(846,plain,
! [SV19: name,SV129: late_residual,SV96: pi,SV59: name] :
( ( ( SV59
= ( sK11_SY457 @ SV59 @ SV96 @ SV129 @ SV19 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV19 @ SV59 @ SV96 ) @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(847,plain,
! [SV131: pi,SV61: pi,SV98: late_freeRes,SV21: late_freeRes] :
( ( ( SV21 = SV98 )
= $true )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(848,plain,
! [SV98: late_freeRes,SV21: late_freeRes,SV131: pi,SV61: pi] :
( ( ( SV61 = SV131 )
= $true )
| ( ( SV21 = SV98 )
= $false )
| ( ( SV61 = SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(849,plain,
! [SV136: pi,SV67: pi,SV104: pi,SV27: pi] :
( ( ( SV27 = SV104 )
= $true )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(850,plain,
! [SV104: pi,SV27: pi,SV136: pi,SV67: pi] :
( ( ( SV67 = SV136 )
= $true )
| ( ( SV27 = SV104 )
= $false )
| ( ( SV67 = SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(851,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[365,850,849,848,847,846,845,838,837,830,828,827,825,824,822,819,818,815,814,809,807,806,805,803,802,795,791,788,787,786,783,782,780,778,773,764,761,759,757,752,749,746,738,731,722,704,700,699,698,695,665,664,662,659,654,653,647,646,644,641,635,630,628,627,624,621,619,610,608,606,600,586,578,574,572,567,561,530,494,490,489,455,369,368,367,366]) ).
thf(852,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP183^1 : 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
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 11:24:29 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.30/0.97 ..
% 4.30/0.97
% 4.30/0.97 No.of.Axioms: 47
% 4.30/0.97
% 4.30/0.97 Length.of.Defs: 0
% 4.30/0.97
% 4.30/0.97 Contains.Choice.Funs: false
% 4.30/0.97 ......................
% 4.30/0.97
% 4.30/0.97 ********************************
% 4.30/0.97 * All subproblems solved! *
% 4.30/0.97 ********************************
% 4.30/0.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:47,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:851,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.30/0.97
% 4.30/0.97 %**** Beginning of derivation protocol ****
% 4.30/0.97 % SZS output start CNFRefutation
% See solution above
% 4.30/0.97
% 4.30/0.97 %**** End of derivation protocol ****
% 4.30/0.97 %**** no. of clauses in derivation: 586 ****
% 4.30/0.97 %**** clause counter: 851 ****
% 4.30/0.97
% 4.30/0.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:47,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:851,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------