%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP189^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 10:24:42 AM UTC 2026
% Result : Theorem 5.11s 1.30s
% Output : CNFRefutation 5.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 44
% Syntax : Number of formulae : 509 ( 313 unt; 0 typ; 0 def)
% Number of atoms : 2562 (1300 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 5669 ( 815 ~; 559 |; 9 &;4214 @)
% ( 0 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 32 ( 31 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 100 ( 97 usr; 13 con; 0-5 aty)
% Number of variables : 1950 ( 0 ^;1950 !; 0 ?;1950 :)
% 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_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_p2,type,
p2: pi ).
thf(tp_par,type,
par: pi > pi > pi ).
thf(tp_piNil,type,
piNil: 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_pxQ,type,
pxQ: pi ).
thf(tp_q,type,
q: pi ).
thf(tp_rel,type,
rel: set_Pr1834926343_pi_pi ).
thf(tp_res,type,
res: name > pi > pi ).
thf(tp_sK10_SY384,type,
sK10_SY384: late_freeRes > pi > pi > name > name ).
thf(tp_sK11_SY385,type,
sK11_SY385: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK1_SY242,type,
sK1_SY242: late_residual > ( late_residual > $o ) > late_subject ).
thf(tp_sK2_SY376,type,
sK2_SY376: late_residual > ( late_residual > $o ) > name ).
thf(tp_sK3_SY378,type,
sK3_SY378: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK4_SY369,type,
sK4_SY369: pi > late_freeRes > pi > name > pi ).
thf(tp_sK5_SY379,type,
sK5_SY379: late_freeRes > pi > pi > name > late_freeRes ).
thf(tp_sK6_SV135,type,
sK6_SV135: pi > name > pi > name > name ).
thf(tp_sK7_SY375,type,
sK7_SY375: pi > ( pi > $o ) > name > late_freeRes > pi > pi ).
thf(tp_sK8_SY382,type,
sK8_SY382: late_freeRes > pi > pi > name > pi ).
thf(tp_sK9_SY245,type,
sK9_SY245: late_residual > ( late_residual > $o ) > late_freeRes ).
thf(tp_strong2129052853vative,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(tp_strong743114133lation,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(tp_subs,type,
subs: pi > name > name > pi ).
thf(tp_subst_name,type,
subst_name: name > name > name > name ).
thf(tp_sum,type,
sum: pi > pi > pi ).
thf(tp_tau,type,
tau: pi > pi ).
thf(tp_x,type,
x: name ).
thf(17,axiom,
! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_pi_Odistinct_I45_J) ).
thf(18,axiom,
! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_pi_Odistinct_I43_J) ).
thf(29,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/sandbox2/benchmark/theBenchmark.p',fact_287_pi_Oinject_I8_J) ).
thf(52,axiom,
! [P: pi,Q: pi,C2: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C2 @ D )
= ( par @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_simps_I8_J) ).
thf(53,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/sandbox2/benchmark/theBenchmark.p',fact_263_simps_I9_J) ).
thf(141,axiom,
! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_pi_Odistinct_I79_J) ).
thf(142,axiom,
! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_pi_Odistinct_I81_J) ).
thf(143,axiom,
! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_Sum2) ).
thf(144,axiom,
! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_Sum1) ).
thf(145,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/sandbox2/benchmark/theBenchmark.p',fact_171_sumCases_H) ).
thf(146,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/sandbox2/benchmark/theBenchmark.p',fact_170_sumCases) ).
thf(234,axiom,
! [X: name,B: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( output @ X @ B @ P ) ) @ Rs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_resTrans_I1_J) ).
thf(254,axiom,
! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_pi_Odistinct_I29_J) ).
thf(255,axiom,
! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_pi_Odistinct_I31_J) ).
thf(259,axiom,
! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name4: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) )
=> ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
=> ( P @ Residual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_residual_Oinducts) ).
thf(260,axiom,
! [Subject: late_subject,Name3: name,Pi3: pi,FreeRes: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject @ Name3 @ Pi3 )
!= ( late_FreeR @ FreeRes @ Pi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_residual_Odistinct_I1_J) ).
thf(282,axiom,
! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_inputFreeTrans) ).
thf(283,axiom,
! [X: name,Y2: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( input @ X @ Y2 @ P ) ) @ Rs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_resTrans_I2_J) ).
thf(284,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y2 @ P )
=> ( fresh_name_pi @ Y2 @ P2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_freshFreeDerivative_I2_J) ).
thf(286,axiom,
! [Pi12: pi,Pi22: pi] :
( piNil
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_pi_Odistinct_I13_J) ).
thf(287,axiom,
! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_pi_Odistinct_I15_J) ).
thf(288,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_nilCases_H) ).
thf(289,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_zeroTrans) ).
thf(290,axiom,
! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_pi_Odistinct_I55_J) ).
thf(291,axiom,
! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_pi_Odistinct_I57_J) ).
thf(292,axiom,
! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_freshRes) ).
thf(299,axiom,
! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_pi_Ofresh_I8_J) ).
thf(300,axiom,
! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_resZeroTrans) ).
thf(302,axiom,
! [X: name,A: name,Y2: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y2 @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_resInputFreeTrans) ).
thf(303,axiom,
! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_pi_Oinject_I7_J) ).
thf(304,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/sandbox2/benchmark/theBenchmark.p',fact_12_residual_Oinject_I2_J) ).
thf(305,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ Y2 @ Alpha )
=> ( late_transitions @ ( res @ Y2 @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y2 @ P2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_ResF) ).
thf(306,axiom,
! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
( ( ( res @ X @ P )
= ( res @ Y @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P2 )
= ( late_FreeR @ Alpha2 @ ( res @ Y @ P3 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P3 ) )
=> ~ ( fresh_1641682979reeRes @ Y @ Alpha2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_resCasesF_H) ).
thf(307,axiom,
! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P3: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P3 ) ) ) )
=> ( F @ XP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_resCasesF) ).
thf(308,axiom,
! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_pi_Odistinct_I85_J) ).
thf(309,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/sandbox2/benchmark/theBenchmark.p',fact_7_Par2F) ).
thf(310,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_Par1F) ).
thf(311,axiom,
fresh_name_pi @ x @ p2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062x_A_092_060sharp_062_AP_H_092_060close_062) ).
thf(312,axiom,
fresh_name_pi @ x @ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_assms_I1_J) ).
thf(313,axiom,
late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_FreeR @ alpha @ pxQ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_Free_Ohyps) ).
thf(314,axiom,
late_transitions @ p @ ( late_FreeR @ alpha @ p2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_cPar1_Ohyps) ).
thf(315,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062) ).
thf(316,axiom,
fresh_1641682979reeRes @ x @ alpha,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062x_A_092_060sharp_062_A_092_060alpha_062_092_060close_062) ).
thf(317,conjecture,
late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(318,negated_conjecture,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[317]) ).
thf(319,plain,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[318]) ).
thf(320,plain,
( ( ! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(321,plain,
( ( ! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
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)],[29]) ).
thf(323,plain,
( ( ! [P: pi,Q: pi,C2: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C2 @ D )
= ( par @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(324,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)],[53]) ).
thf(325,plain,
( ( ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(326,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(327,plain,
( ( ! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(328,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(329,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)],[145]) ).
thf(330,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)],[146]) ).
thf(331,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)],[234]) ).
thf(332,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(333,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(334,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name4: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) )
=> ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(335,plain,
( ( ! [Subject: late_subject,Name3: name,Pi3: pi,FreeRes: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject @ Name3 @ Pi3 )
!= ( late_FreeR @ FreeRes @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(336,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(337,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)],[283]) ).
thf(338,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y2 @ P )
=> ( fresh_name_pi @ Y2 @ P2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(339,plain,
( ( ! [Pi12: pi,Pi22: pi] :
( piNil
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(340,plain,
( ( ! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(341,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(342,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(343,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(344,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(345,plain,
( ( ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(346,plain,
( ( ! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(347,plain,
( ( ! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(348,plain,
( ( ! [X: name,A: name,Y2: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y2 @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(349,plain,
( ( ! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(350,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)],[304]) ).
thf(351,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ Y2 @ Alpha )
=> ( late_transitions @ ( res @ Y2 @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y2 @ P2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(352,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
( ( ( res @ X @ P )
= ( res @ Y @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P2 )
= ( late_FreeR @ Alpha2 @ ( res @ Y @ P3 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P3 ) )
=> ~ ( fresh_1641682979reeRes @ Y @ Alpha2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(353,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P3: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P3 ) ) ) )
=> ( F @ XP ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(354,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(355,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)],[309]) ).
thf(356,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(357,plain,
( ( fresh_name_pi @ x @ p2 )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(358,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(359,plain,
( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_FreeR @ alpha @ pxQ ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(360,plain,
( ( late_transitions @ p @ ( late_FreeR @ alpha @ p2 ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(361,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(362,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(363,plain,
( ( ~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[319]) ).
thf(364,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(365,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(366,plain,
( ( late_transitions @ p @ ( late_FreeR @ alpha @ p2 ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(367,plain,
( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_FreeR @ alpha @ pxQ ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(368,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(369,plain,
( ( fresh_name_pi @ x @ p2 )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(370,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(371,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)],[355]) ).
thf(372,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( par @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(373,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
=> ( ! [P3: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
=> ( ( fresh_1641682979reeRes @ X @ Alpha )
=> ( F @ ( res @ X @ P3 ) ) ) )
=> ( F @ XP ) ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(374,plain,
( ( ! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ~ ! [P4: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
( ( ( res @ X @ P )
= ( res @ Y @ P4 ) )
=> ( ( ( late_FreeR @ Alpha @ P2 )
= ( late_FreeR @ Alpha2 @ ( res @ Y @ P3 ) ) )
=> ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P3 ) )
=> ~ ( fresh_1641682979reeRes @ Y @ Alpha2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(375,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_1641682979reeRes @ Y2 @ Alpha )
=> ( late_transitions @ ( res @ Y2 @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y2 @ P2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(376,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)],[350]) ).
thf(377,plain,
( ( ! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y22 @ Y1 ) )
= ( ( X2 = Y22 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(378,plain,
( ( ! [X: name,A: name,Y2: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( res @ X @ ( input @ A @ Y2 @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(379,plain,
( ( ! [X: name,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(380,plain,
( ( ! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(381,plain,
( ( ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
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)],[344]) ).
thf(383,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( input @ Name12 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(384,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(385,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(386,plain,
( ( ! [Name: name,Pi: pi] :
( piNil
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(387,plain,
( ( ! [Pi12: pi,Pi22: pi] :
( piNil
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(388,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y2: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y2 @ P )
=> ( fresh_name_pi @ Y2 @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(389,plain,
( ( ! [X: name,Y2: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( input @ X @ Y2 @ P ) ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(390,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(391,plain,
( ( ! [Subject: late_subject,Name3: name,Pi3: pi,FreeRes: late_freeRes,Pi: pi] :
( ( late_BoundR @ Subject @ Name3 @ Pi3 )
!= ( late_FreeR @ FreeRes @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(392,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name4: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) )
=> ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(393,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(394,plain,
( ( ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
( ( output @ Name12 @ Name22 @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(395,plain,
( ( ! [X: name,B: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( res @ X @ ( output @ X @ B @ P ) ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(396,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)],[330]) ).
thf(397,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)],[329]) ).
thf(398,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(399,plain,
( ( ! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(400,plain,
( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(401,plain,
( ( ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
( ( sum @ Pi1 @ Pi2 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
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)],[324]) ).
thf(403,plain,
( ( ! [P: pi,Q: pi,C2: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C2 @ D )
= ( par @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(404,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(405,plain,
( ( ! [Pi3: pi,Pi12: pi,Pi22: pi] :
( ( tau @ Pi3 )
!= ( par @ Pi12 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(406,plain,
( ( ! [Pi3: pi,Name: name,Pi: pi] :
( ( tau @ Pi3 )
!= ( res @ Name @ Pi ) ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(407,plain,
( ( ~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(408,plain,
( ( ! [SX0: pi,SX1: name,SX2: pi] :
( ( tau @ SX0 )
!= ( res @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(409,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( input @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(410,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( sum @ SX0 @ SX1 )
!= ( par @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(411,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name,SX4: pi] :
( ( output @ SX0 @ SX1 @ SX2 )
!= ( res @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(412,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)],[396]) ).
thf(413,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)],[376]) ).
thf(414,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)],[397]) ).
thf(415,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( output @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(416,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi] :
( ( tau @ SX0 )
!= ( par @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(417,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(418,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(419,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)],[370]) ).
thf(420,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name,SX3: pi] :
( ( sum @ SX0 @ SX1 )
!= ( res @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(421,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)],[373]) ).
thf(422,plain,
( ( ! [SX0: name,SX1: pi,SX2: pi] :
( ( fresh_name_pi @ SX0 @ ( par @ SX1 @ SX2 ) )
= ( ~ ( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ~ ( fresh_name_pi @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(423,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name,SX3: pi] :
( ( par @ SX0 @ SX1 )
!= ( res @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(424,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)],[374]) ).
thf(425,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)],[388]) ).
thf(426,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)],[375]) ).
thf(427,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(428,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)],[371]) ).
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)],[398]) ).
thf(430,plain,
( ( ! [SX0: pi,SX1: pi] :
( piNil
!= ( par @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(431,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)],[391]) ).
thf(432,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)],[392]) ).
thf(433,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( ( par @ SX0 @ SX1 )
= ( par @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(434,plain,
( ( ! [SX0: name,SX1: pi] :
( piNil
!= ( res @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(435,plain,
! [SV1: name] :
( ( ! [SY144: name,SY145: name,SY146: pi,SY147: late_freeRes,SY148: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SY144 @ SY145 @ SY146 ) ) @ ( late_FreeR @ SY147 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(436,plain,
! [SV2: name] :
( ( ! [SY149: late_residual] :
~ ( late_transitions @ ( res @ SV2 @ piNil ) @ SY149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(437,plain,
! [SV3: name] :
( ( ! [SY150: pi] : ( fresh_name_pi @ SV3 @ ( res @ SV3 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(438,plain,
! [SV4: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(439,plain,
! [SV5: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(440,plain,
! [SV6: name] :
( ( ! [SY151: name,SY152: pi,SY153: late_residual] :
~ ( late_transitions @ ( res @ SV6 @ ( input @ SV6 @ SY151 @ SY152 ) ) @ SY153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(441,plain,
! [SV7: name] :
( ( ! [SY154: name,SY155: pi,SY156: late_freeRes,SY157: pi] :
~ ( late_transitions @ ( input @ SV7 @ SY154 @ SY155 ) @ ( late_FreeR @ SY156 @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(442,plain,
! [SV8: name] :
( ( ! [SY158: name,SY159: pi,SY160: late_residual] :
~ ( late_transitions @ ( res @ SV8 @ ( output @ SV8 @ SY158 @ SY159 ) ) @ SY160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(443,plain,
! [SV9: pi] :
( ( ! [SY161: pi,SY162: name,SY163: name] :
( ( subs @ ( par @ SV9 @ SY161 ) @ SY162 @ SY163 )
= ( par @ ( subs @ SV9 @ SY162 @ SY163 ) @ ( subs @ SY161 @ SY162 @ SY163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(444,plain,
! [SV10: name] :
( ( ! [SY164: pi,SY165: name,SY166: pi] :
( ( ( res @ SV10 @ SY164 )
= ( res @ SY165 @ SY166 ) )
= ( ( abs_fun_name_pi @ SV10 @ SY164 )
= ( abs_fun_name_pi @ SY165 @ SY166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(445,plain,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(446,plain,
! [SV11: pi] :
( ( ! [SY167: name,SY168: pi] :
( ( tau @ SV11 )
!= ( res @ SY167 @ SY168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(447,plain,
! [SV12: name] :
( ( ! [SY169: name,SY170: pi,SY171: pi,SY172: pi] :
( ( input @ SV12 @ SY169 @ SY170 )
!= ( par @ SY171 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(448,plain,
! [SV13: pi] :
( ( ! [SY173: pi,SY174: pi,SY175: pi] :
( ( sum @ SV13 @ SY173 )
!= ( par @ SY174 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(449,plain,
! [SV14: name] :
( ( ! [SY176: name,SY177: pi,SY178: name,SY179: pi] :
( ( output @ SV14 @ SY176 @ SY177 )
!= ( res @ SY178 @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(450,plain,
! [SV15: pi] :
( ( ! [SY180: pi,SY181: late_residual] :
( ~ ( late_transitions @ ( sum @ SV15 @ SY180 ) @ SY181 )
| ~ ~ ( late_transitions @ SV15 @ SY181 )
| ( late_transitions @ SY180 @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(451,plain,
! [SV16: late_freeRes] :
( ( ! [SY182: pi,SY183: late_freeRes,SY184: pi] :
( ( ( late_FreeR @ SV16 @ SY182 )
= ( late_FreeR @ SY183 @ SY184 ) )
= ( ~ ( ( SV16 != SY183 )
| ( SY182 != SY184 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(452,plain,
! [SV17: pi] :
( ( ! [SY185: pi,SY186: late_residual] :
( ~ ( late_transitions @ ( sum @ SV17 @ SY185 ) @ SY186 )
| ~ ~ ( late_transitions @ SV17 @ SY186 )
| ( late_transitions @ SY185 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(453,plain,
! [SV18: name] :
( ( ! [SY187: name,SY188: pi,SY189: pi,SY190: pi] :
( ( output @ SV18 @ SY187 @ SY188 )
!= ( par @ SY189 @ SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(454,plain,
! [SV19: pi] :
( ( ! [SY191: pi,SY192: pi] :
( ( tau @ SV19 )
!= ( par @ SY191 @ SY192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(455,plain,
! [SV20: name] :
( ( ! [SY193: name,SY194: name,SY195: pi] :
( ~ ( ( SV20 != SY193 ) )
| ~ ( ( SV20 != SY194 ) )
| ( ( subs @ ( res @ SV20 @ SY195 ) @ SY193 @ SY194 )
= ( res @ SV20 @ ( subs @ SY195 @ SY193 @ SY194 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(456,plain,
! [SV21: name] :
( ( ! [SY196: name,SY197: pi,SY198: name,SY199: pi] :
( ( input @ SV21 @ SY196 @ SY197 )
!= ( res @ SY198 @ SY199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(457,plain,
! [SV22: pi] :
( ( ! [SY200: late_freeRes,SY201: pi,SY202: pi] :
( ~ ( late_transitions @ SV22 @ ( late_FreeR @ SY200 @ SY201 ) )
| ( late_transitions @ ( par @ SV22 @ SY202 ) @ ( late_FreeR @ SY200 @ ( par @ SY201 @ SY202 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(458,plain,
! [SV23: pi] :
( ( ! [SY203: pi,SY204: name,SY205: pi] :
( ( sum @ SV23 @ SY203 )
!= ( res @ SY204 @ SY205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(459,plain,
! [SV24: name] :
( ( ! [SY206: pi,SY207: late_freeRes,SY208: pi,SY209: pi > $o] :
( ~ ( late_transitions @ ( res @ SV24 @ SY206 ) @ ( late_FreeR @ SY207 @ SY208 ) )
| ~ ! [SY210: pi] :
( ~ ( late_transitions @ SY206 @ ( late_FreeR @ SY207 @ SY210 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SY207 )
| ( SY209 @ ( res @ SV24 @ SY210 ) ) )
| ( SY209 @ SY208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(460,plain,
! [SV25: name] :
( ( ! [SY211: pi,SY212: pi] :
( ( fresh_name_pi @ SV25 @ ( par @ SY211 @ SY212 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV25 @ SY211 )
| ~ ( fresh_name_pi @ SV25 @ SY212 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(461,plain,
! [SV26: pi] :
( ( ! [SY213: pi,SY214: name,SY215: pi] :
( ( par @ SV26 @ SY213 )
!= ( res @ SY214 @ SY215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(462,plain,
! [SV27: name] :
( ( ! [SY216: pi,SY217: late_freeRes,SY218: pi] :
( ~ ( late_transitions @ ( res @ SV27 @ SY216 ) @ ( late_FreeR @ SY217 @ SY218 ) )
| ~ ! [SY219: pi,SY220: late_freeRes,SY221: pi,SY222: name] :
( ( ( res @ SV27 @ SY216 )
!= ( res @ SY222 @ SY219 ) )
| ( ( late_FreeR @ SY217 @ SY218 )
!= ( late_FreeR @ SY220 @ ( res @ SY222 @ SY221 ) ) )
| ~ ( late_transitions @ SY219 @ ( late_FreeR @ SY220 @ SY221 ) )
| ~ ( fresh_1641682979reeRes @ SY222 @ SY220 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(463,plain,
! [SV28: pi] :
( ( ! [SY223: late_freeRes,SY224: pi,SY225: name] :
( ~ ( late_transitions @ SV28 @ ( late_FreeR @ SY223 @ SY224 ) )
| ~ ( fresh_name_pi @ SY225 @ SV28 )
| ( fresh_name_pi @ SY225 @ SY224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(464,plain,
! [SV29: pi] :
( ( ! [SY226: late_freeRes,SY227: pi,SY228: name] :
( ~ ( late_transitions @ SV29 @ ( late_FreeR @ SY226 @ SY227 ) )
| ~ ( fresh_1641682979reeRes @ SY228 @ SY226 )
| ( late_transitions @ ( res @ SY228 @ SV29 ) @ ( late_FreeR @ SY226 @ ( res @ SY228 @ SY227 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(465,plain,
! [SV30: pi] :
( ( ! [SY229: late_residual,SY230: pi] :
( ~ ( late_transitions @ SV30 @ SY229 )
| ( late_transitions @ ( sum @ SY230 @ SV30 ) @ SY229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(466,plain,
! [SV31: pi] :
( ( ! [SY231: late_freeRes,SY232: pi,SY233: pi] :
( ~ ( late_transitions @ SV31 @ ( late_FreeR @ SY231 @ SY232 ) )
| ( late_transitions @ ( par @ SY233 @ SV31 ) @ ( late_FreeR @ SY231 @ ( par @ SY233 @ SY232 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(467,plain,
! [SV32: pi] :
( ( ! [SY234: late_residual,SY235: pi] :
( ~ ( late_transitions @ SV32 @ SY234 )
| ( late_transitions @ ( sum @ SV32 @ SY235 ) @ SY234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(468,plain,
! [SV33: pi] :
( ( ! [SY236: pi] :
( piNil
!= ( par @ SV33 @ SY236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(469,plain,
! [SV34: late_subject] :
( ( ! [SY237: name,SY238: pi,SY239: late_freeRes,SY240: pi] :
( ( late_BoundR @ SV34 @ SY237 @ SY238 )
!= ( late_FreeR @ SY239 @ SY240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(470,plain,
! [SV35: late_residual > $o] :
( ( ! [SY241: late_residual] :
( ~ ! [SY242: late_subject,SY243: name,SY244: pi] : ( SV35 @ ( late_BoundR @ SY242 @ SY243 @ SY244 ) )
| ~ ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) )
| ( SV35 @ SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(471,plain,
! [SV36: pi] :
( ( ! [SY247: pi,SY248: pi,SY249: pi] :
( ( ( par @ SV36 @ SY247 )
= ( par @ SY248 @ SY249 ) )
= ( ~ ( ( SV36 != SY248 )
| ( SY247 != SY249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(472,plain,
! [SV37: name] :
( ( ! [SY250: pi] :
( piNil
!= ( res @ SV37 @ SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(473,plain,
! [SV38: name,SV1: name] :
( ( ! [SY251: name,SY252: pi,SY253: late_freeRes,SY254: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SV38 @ SY251 @ SY252 ) ) @ ( late_FreeR @ SY253 @ SY254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(474,plain,
! [SV39: late_residual,SV2: name] :
( ( ~ ( late_transitions @ ( res @ SV2 @ piNil ) @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(475,plain,
! [SV40: pi,SV3: name] :
( ( fresh_name_pi @ SV3 @ ( res @ SV3 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(476,plain,
! [SV4: late_residual] :
( ( late_transitions @ piNil @ SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(477,plain,
! [SV5: late_residual] :
( ( late_transitions @ piNil @ SV5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(478,plain,
! [SV41: name,SV6: name] :
( ( ! [SY255: pi,SY256: late_residual] :
~ ( late_transitions @ ( res @ SV6 @ ( input @ SV6 @ SV41 @ SY255 ) ) @ SY256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(479,plain,
! [SV42: name,SV7: name] :
( ( ! [SY257: pi,SY258: late_freeRes,SY259: pi] :
~ ( late_transitions @ ( input @ SV7 @ SV42 @ SY257 ) @ ( late_FreeR @ SY258 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(480,plain,
! [SV43: name,SV8: name] :
( ( ! [SY260: pi,SY261: late_residual] :
~ ( late_transitions @ ( res @ SV8 @ ( output @ SV8 @ SV43 @ SY260 ) ) @ SY261 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(481,plain,
! [SV44: pi,SV9: pi] :
( ( ! [SY262: name,SY263: name] :
( ( subs @ ( par @ SV9 @ SV44 ) @ SY262 @ SY263 )
= ( par @ ( subs @ SV9 @ SY262 @ SY263 ) @ ( subs @ SV44 @ SY262 @ SY263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(482,plain,
! [SV45: pi,SV10: name] :
( ( ! [SY264: name,SY265: pi] :
( ( ( res @ SV10 @ SV45 )
= ( res @ SY264 @ SY265 ) )
= ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SY264 @ SY265 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(483,plain,
! [SV46: name,SV11: pi] :
( ( ! [SY266: pi] :
( ( tau @ SV11 )
!= ( res @ SV46 @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(484,plain,
! [SV47: name,SV12: name] :
( ( ! [SY267: pi,SY268: pi,SY269: pi] :
( ( input @ SV12 @ SV47 @ SY267 )
!= ( par @ SY268 @ SY269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(485,plain,
! [SV48: pi,SV13: pi] :
( ( ! [SY270: pi,SY271: pi] :
( ( sum @ SV13 @ SV48 )
!= ( par @ SY270 @ SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(486,plain,
! [SV49: name,SV14: name] :
( ( ! [SY272: pi,SY273: name,SY274: pi] :
( ( output @ SV14 @ SV49 @ SY272 )
!= ( res @ SY273 @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(487,plain,
! [SV50: pi,SV15: pi] :
( ( ! [SY275: late_residual] :
( ~ ( late_transitions @ ( sum @ SV15 @ SV50 ) @ SY275 )
| ~ ~ ( late_transitions @ SV15 @ SY275 )
| ( late_transitions @ SV50 @ SY275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(488,plain,
! [SV51: pi,SV16: late_freeRes] :
( ( ! [SY276: late_freeRes,SY277: pi] :
( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SY276 @ SY277 ) )
= ( ~ ( ( SV16 != SY276 )
| ( SV51 != SY277 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(489,plain,
! [SV52: pi,SV17: pi] :
( ( ! [SY278: late_residual] :
( ~ ( late_transitions @ ( sum @ SV17 @ SV52 ) @ SY278 )
| ~ ~ ( late_transitions @ SV17 @ SY278 )
| ( late_transitions @ SV52 @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(490,plain,
! [SV53: name,SV18: name] :
( ( ! [SY279: pi,SY280: pi,SY281: pi] :
( ( output @ SV18 @ SV53 @ SY279 )
!= ( par @ SY280 @ SY281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(491,plain,
! [SV54: pi,SV19: pi] :
( ( ! [SY282: pi] :
( ( tau @ SV19 )
!= ( par @ SV54 @ SY282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(492,plain,
! [SV55: name,SV20: name] :
( ( ! [SY283: name,SY284: pi] :
( ~ ( ( SV20 != SV55 ) )
| ~ ( ( SV20 != SY283 ) )
| ( ( subs @ ( res @ SV20 @ SY284 ) @ SV55 @ SY283 )
= ( res @ SV20 @ ( subs @ SY284 @ SV55 @ SY283 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(493,plain,
! [SV56: name,SV21: name] :
( ( ! [SY285: pi,SY286: name,SY287: pi] :
( ( input @ SV21 @ SV56 @ SY285 )
!= ( res @ SY286 @ SY287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(494,plain,
! [SV57: late_freeRes,SV22: pi] :
( ( ! [SY288: pi,SY289: pi] :
( ~ ( late_transitions @ SV22 @ ( late_FreeR @ SV57 @ SY288 ) )
| ( late_transitions @ ( par @ SV22 @ SY289 ) @ ( late_FreeR @ SV57 @ ( par @ SY288 @ SY289 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(495,plain,
! [SV58: pi,SV23: pi] :
( ( ! [SY290: name,SY291: pi] :
( ( sum @ SV23 @ SV58 )
!= ( res @ SY290 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(496,plain,
! [SV59: pi,SV24: name] :
( ( ! [SY292: late_freeRes,SY293: pi,SY294: pi > $o] :
( ~ ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SY292 @ SY293 ) )
| ~ ! [SY295: pi] :
( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SY292 @ SY295 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SY292 )
| ( SY294 @ ( res @ SV24 @ SY295 ) ) )
| ( SY294 @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(497,plain,
! [SV60: pi,SV25: name] :
( ( ! [SY296: pi] :
( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SY296 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SY296 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(498,plain,
! [SV61: pi,SV26: pi] :
( ( ! [SY297: name,SY298: pi] :
( ( par @ SV26 @ SV61 )
!= ( res @ SY297 @ SY298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(499,plain,
! [SV62: pi,SV27: name] :
( ( ! [SY299: late_freeRes,SY300: pi] :
( ~ ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SY299 @ SY300 ) )
| ~ ! [SY301: pi,SY302: late_freeRes,SY303: pi,SY304: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY304 @ SY301 ) )
| ( ( late_FreeR @ SY299 @ SY300 )
!= ( late_FreeR @ SY302 @ ( res @ SY304 @ SY303 ) ) )
| ~ ( late_transitions @ SY301 @ ( late_FreeR @ SY302 @ SY303 ) )
| ~ ( fresh_1641682979reeRes @ SY304 @ SY302 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(500,plain,
! [SV63: late_freeRes,SV28: pi] :
( ( ! [SY305: pi,SY306: name] :
( ~ ( late_transitions @ SV28 @ ( late_FreeR @ SV63 @ SY305 ) )
| ~ ( fresh_name_pi @ SY306 @ SV28 )
| ( fresh_name_pi @ SY306 @ SY305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(501,plain,
! [SV64: late_freeRes,SV29: pi] :
( ( ! [SY307: pi,SY308: name] :
( ~ ( late_transitions @ SV29 @ ( late_FreeR @ SV64 @ SY307 ) )
| ~ ( fresh_1641682979reeRes @ SY308 @ SV64 )
| ( late_transitions @ ( res @ SY308 @ SV29 ) @ ( late_FreeR @ SV64 @ ( res @ SY308 @ SY307 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(502,plain,
! [SV65: late_residual,SV30: pi] :
( ( ! [SY309: pi] :
( ~ ( late_transitions @ SV30 @ SV65 )
| ( late_transitions @ ( sum @ SY309 @ SV30 ) @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(503,plain,
! [SV66: late_freeRes,SV31: pi] :
( ( ! [SY310: pi,SY311: pi] :
( ~ ( late_transitions @ SV31 @ ( late_FreeR @ SV66 @ SY310 ) )
| ( late_transitions @ ( par @ SY311 @ SV31 ) @ ( late_FreeR @ SV66 @ ( par @ SY311 @ SY310 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(504,plain,
! [SV67: late_residual,SV32: pi] :
( ( ! [SY312: pi] :
( ~ ( late_transitions @ SV32 @ SV67 )
| ( late_transitions @ ( sum @ SV32 @ SY312 ) @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(505,plain,
! [SV68: pi,SV33: pi] :
( ( piNil
!= ( par @ SV33 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(506,plain,
! [SV69: name,SV34: late_subject] :
( ( ! [SY313: pi,SY314: late_freeRes,SY315: pi] :
( ( late_BoundR @ SV34 @ SV69 @ SY313 )
!= ( late_FreeR @ SY314 @ SY315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(507,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ~ ! [SY242: late_subject,SY243: name,SY244: pi] : ( SV35 @ ( late_BoundR @ SY242 @ SY243 @ SY244 ) )
| ~ ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) )
| ( SV35 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(508,plain,
! [SV71: pi,SV36: pi] :
( ( ! [SY321: pi,SY322: pi] :
( ( ( par @ SV36 @ SV71 )
= ( par @ SY321 @ SY322 ) )
= ( ~ ( ( SV36 != SY321 )
| ( SV71 != SY322 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(509,plain,
! [SV72: pi,SV37: name] :
( ( piNil
!= ( res @ SV37 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(510,plain,
! [SV73: name,SV38: name,SV1: name] :
( ( ! [SY323: pi,SY324: late_freeRes,SY325: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SV38 @ SV73 @ SY323 ) ) @ ( late_FreeR @ SY324 @ SY325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(511,plain,
! [SV39: late_residual,SV2: name] :
( ( late_transitions @ ( res @ SV2 @ piNil ) @ SV39 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(512,plain,
! [SV74: pi,SV41: name,SV6: name] :
( ( ! [SY326: late_residual] :
~ ( late_transitions @ ( res @ SV6 @ ( input @ SV6 @ SV41 @ SV74 ) ) @ SY326 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(513,plain,
! [SV75: pi,SV42: name,SV7: name] :
( ( ! [SY327: late_freeRes,SY328: pi] :
~ ( late_transitions @ ( input @ SV7 @ SV42 @ SV75 ) @ ( late_FreeR @ SY327 @ SY328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(514,plain,
! [SV76: pi,SV43: name,SV8: name] :
( ( ! [SY329: late_residual] :
~ ( late_transitions @ ( res @ SV8 @ ( output @ SV8 @ SV43 @ SV76 ) ) @ SY329 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(515,plain,
! [SV77: name,SV44: pi,SV9: pi] :
( ( ! [SY330: name] :
( ( subs @ ( par @ SV9 @ SV44 ) @ SV77 @ SY330 )
= ( par @ ( subs @ SV9 @ SV77 @ SY330 ) @ ( subs @ SV44 @ SV77 @ SY330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(516,plain,
! [SV78: name,SV45: pi,SV10: name] :
( ( ! [SY331: pi] :
( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SY331 ) )
= ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SY331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(517,plain,
! [SV79: pi,SV46: name,SV11: pi] :
( ( ( tau @ SV11 )
!= ( res @ SV46 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(518,plain,
! [SV80: pi,SV47: name,SV12: name] :
( ( ! [SY332: pi,SY333: pi] :
( ( input @ SV12 @ SV47 @ SV80 )
!= ( par @ SY332 @ SY333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(519,plain,
! [SV81: pi,SV48: pi,SV13: pi] :
( ( ! [SY334: pi] :
( ( sum @ SV13 @ SV48 )
!= ( par @ SV81 @ SY334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(520,plain,
! [SV82: pi,SV49: name,SV14: name] :
( ( ! [SY335: name,SY336: pi] :
( ( output @ SV14 @ SV49 @ SV82 )
!= ( res @ SY335 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(521,plain,
! [SV83: late_residual,SV50: pi,SV15: pi] :
( ( ~ ( late_transitions @ ( sum @ SV15 @ SV50 ) @ SV83 )
| ~ ~ ( late_transitions @ SV15 @ SV83 )
| ( late_transitions @ SV50 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(522,plain,
! [SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ! [SY337: pi] :
( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SY337 ) )
= ( ~ ( ( SV16 != SV84 )
| ( SV51 != SY337 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(523,plain,
! [SV85: late_residual,SV52: pi,SV17: pi] :
( ( ~ ( late_transitions @ ( sum @ SV17 @ SV52 ) @ SV85 )
| ~ ~ ( late_transitions @ SV17 @ SV85 )
| ( late_transitions @ SV52 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(524,plain,
! [SV86: pi,SV53: name,SV18: name] :
( ( ! [SY338: pi,SY339: pi] :
( ( output @ SV18 @ SV53 @ SV86 )
!= ( par @ SY338 @ SY339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(525,plain,
! [SV87: pi,SV54: pi,SV19: pi] :
( ( ( tau @ SV19 )
!= ( par @ SV54 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(526,plain,
! [SV88: name,SV55: name,SV20: name] :
( ( ! [SY340: pi] :
( ~ ( ( SV20 != SV55 ) )
| ~ ( ( SV20 != SV88 ) )
| ( ( subs @ ( res @ SV20 @ SY340 ) @ SV55 @ SV88 )
= ( res @ SV20 @ ( subs @ SY340 @ SV55 @ SV88 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(527,plain,
! [SV89: pi,SV56: name,SV21: name] :
( ( ! [SY341: name,SY342: pi] :
( ( input @ SV21 @ SV56 @ SV89 )
!= ( res @ SY341 @ SY342 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(528,plain,
! [SV90: pi,SV57: late_freeRes,SV22: pi] :
( ( ! [SY343: pi] :
( ~ ( late_transitions @ SV22 @ ( late_FreeR @ SV57 @ SV90 ) )
| ( late_transitions @ ( par @ SV22 @ SY343 ) @ ( late_FreeR @ SV57 @ ( par @ SV90 @ SY343 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(529,plain,
! [SV91: name,SV58: pi,SV23: pi] :
( ( ! [SY344: pi] :
( ( sum @ SV23 @ SV58 )
!= ( res @ SV91 @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(530,plain,
! [SV92: late_freeRes,SV59: pi,SV24: name] :
( ( ! [SY345: pi,SY346: pi > $o] :
( ~ ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SY345 ) )
| ~ ! [SY347: pi] :
( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ SY347 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SY346 @ ( res @ SV24 @ SY347 ) ) )
| ( SY346 @ SY345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(531,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(532,plain,
! [SV94: name,SV61: pi,SV26: pi] :
( ( ! [SY348: pi] :
( ( par @ SV26 @ SV61 )
!= ( res @ SV94 @ SY348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(533,plain,
! [SV95: late_freeRes,SV62: pi,SV27: name] :
( ( ! [SY349: pi] :
( ~ ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SY349 ) )
| ~ ! [SY350: pi,SY351: late_freeRes,SY352: pi,SY353: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY353 @ SY350 ) )
| ( ( late_FreeR @ SV95 @ SY349 )
!= ( late_FreeR @ SY351 @ ( res @ SY353 @ SY352 ) ) )
| ~ ( late_transitions @ SY350 @ ( late_FreeR @ SY351 @ SY352 ) )
| ~ ( fresh_1641682979reeRes @ SY353 @ SY351 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(534,plain,
! [SV96: pi,SV63: late_freeRes,SV28: pi] :
( ( ! [SY354: name] :
( ~ ( late_transitions @ SV28 @ ( late_FreeR @ SV63 @ SV96 ) )
| ~ ( fresh_name_pi @ SY354 @ SV28 )
| ( fresh_name_pi @ SY354 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(535,plain,
! [SV97: pi,SV64: late_freeRes,SV29: pi] :
( ( ! [SY355: name] :
( ~ ( late_transitions @ SV29 @ ( late_FreeR @ SV64 @ SV97 ) )
| ~ ( fresh_1641682979reeRes @ SY355 @ SV64 )
| ( late_transitions @ ( res @ SY355 @ SV29 ) @ ( late_FreeR @ SV64 @ ( res @ SY355 @ SV97 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(536,plain,
! [SV98: pi,SV65: late_residual,SV30: pi] :
( ( ~ ( late_transitions @ SV30 @ SV65 )
| ( late_transitions @ ( sum @ SV98 @ SV30 ) @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(537,plain,
! [SV99: pi,SV66: late_freeRes,SV31: pi] :
( ( ! [SY356: pi] :
( ~ ( late_transitions @ SV31 @ ( late_FreeR @ SV66 @ SV99 ) )
| ( late_transitions @ ( par @ SY356 @ SV31 ) @ ( late_FreeR @ SV66 @ ( par @ SY356 @ SV99 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(538,plain,
! [SV100: pi,SV67: late_residual,SV32: pi] :
( ( ~ ( late_transitions @ SV32 @ SV67 )
| ( late_transitions @ ( sum @ SV32 @ SV100 ) @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(539,plain,
! [SV68: pi,SV33: pi] :
( ( piNil
= ( par @ SV33 @ SV68 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(540,plain,
! [SV101: pi,SV69: name,SV34: late_subject] :
( ( ! [SY357: late_freeRes,SY358: pi] :
( ( late_BoundR @ SV34 @ SV69 @ SV101 )
!= ( late_FreeR @ SY357 @ SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(541,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( ~ ! [SY242: late_subject,SY243: name,SY244: pi] : ( SV35 @ ( late_BoundR @ SY242 @ SY243 @ SY244 ) ) )
= $true )
| ( ( ~ ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) )
| ( SV35 @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(542,plain,
! [SV102: pi,SV71: pi,SV36: pi] :
( ( ! [SY359: pi] :
( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SY359 ) )
= ( ~ ( ( SV36 != SV102 )
| ( SV71 != SY359 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(543,plain,
! [SV72: pi,SV37: name] :
( ( piNil
= ( res @ SV37 @ SV72 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(544,plain,
! [SV103: pi,SV73: name,SV38: name,SV1: name] :
( ( ! [SY360: late_freeRes,SY361: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SV38 @ SV73 @ SV103 ) ) @ ( late_FreeR @ SY360 @ SY361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(545,plain,
! [SV104: late_residual,SV74: pi,SV41: name,SV6: name] :
( ( ~ ( late_transitions @ ( res @ SV6 @ ( input @ SV6 @ SV41 @ SV74 ) ) @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(546,plain,
! [SV105: late_freeRes,SV75: pi,SV42: name,SV7: name] :
( ( ! [SY362: pi] :
~ ( late_transitions @ ( input @ SV7 @ SV42 @ SV75 ) @ ( late_FreeR @ SV105 @ SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(547,plain,
! [SV106: late_residual,SV76: pi,SV43: name,SV8: name] :
( ( ~ ( late_transitions @ ( res @ SV8 @ ( output @ SV8 @ SV43 @ SV76 ) ) @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(548,plain,
! [SV107: name,SV77: name,SV44: pi,SV9: pi] :
( ( ( subs @ ( par @ SV9 @ SV44 ) @ SV77 @ SV107 )
= ( par @ ( subs @ SV9 @ SV77 @ SV107 ) @ ( subs @ SV44 @ SV77 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(549,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(550,plain,
! [SV79: pi,SV46: name,SV11: pi] :
( ( ( tau @ SV11 )
= ( res @ SV46 @ SV79 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(551,plain,
! [SV109: pi,SV80: pi,SV47: name,SV12: name] :
( ( ! [SY363: pi] :
( ( input @ SV12 @ SV47 @ SV80 )
!= ( par @ SV109 @ SY363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(552,plain,
! [SV110: pi,SV81: pi,SV48: pi,SV13: pi] :
( ( ( sum @ SV13 @ SV48 )
!= ( par @ SV81 @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(553,plain,
! [SV111: name,SV82: pi,SV49: name,SV14: name] :
( ( ! [SY364: pi] :
( ( output @ SV14 @ SV49 @ SV82 )
!= ( res @ SV111 @ SY364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(554,plain,
! [SV83: late_residual,SV50: pi,SV15: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV15 @ SV50 ) @ SV83 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV15 @ SV83 )
| ( late_transitions @ SV50 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(555,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= ( ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(556,plain,
! [SV85: late_residual,SV52: pi,SV17: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV17 @ SV52 ) @ SV85 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV17 @ SV85 )
| ( late_transitions @ SV52 @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(557,plain,
! [SV113: pi,SV86: pi,SV53: name,SV18: name] :
( ( ! [SY365: pi] :
( ( output @ SV18 @ SV53 @ SV86 )
!= ( par @ SV113 @ SY365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(558,plain,
! [SV87: pi,SV54: pi,SV19: pi] :
( ( ( tau @ SV19 )
= ( par @ SV54 @ SV87 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(559,plain,
! [SV114: pi,SV88: name,SV55: name,SV20: name] :
( ( ~ ( ( SV20 != SV55 ) )
| ~ ( ( SV20 != SV88 ) )
| ( ( subs @ ( res @ SV20 @ SV114 ) @ SV55 @ SV88 )
= ( res @ SV20 @ ( subs @ SV114 @ SV55 @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(560,plain,
! [SV115: name,SV89: pi,SV56: name,SV21: name] :
( ( ! [SY366: pi] :
( ( input @ SV21 @ SV56 @ SV89 )
!= ( res @ SV115 @ SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(561,plain,
! [SV116: pi,SV90: pi,SV57: late_freeRes,SV22: pi] :
( ( ~ ( late_transitions @ SV22 @ ( late_FreeR @ SV57 @ SV90 ) )
| ( late_transitions @ ( par @ SV22 @ SV116 ) @ ( late_FreeR @ SV57 @ ( par @ SV90 @ SV116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(562,plain,
! [SV117: pi,SV91: name,SV58: pi,SV23: pi] :
( ( ( sum @ SV23 @ SV58 )
!= ( res @ SV91 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(563,plain,
! [SV118: pi,SV92: late_freeRes,SV59: pi,SV24: name] :
( ( ! [SY367: pi > $o] :
( ~ ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
| ~ ! [SY347: pi] :
( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ SY347 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SY367 @ ( res @ SV24 @ SY347 ) ) )
| ( SY367 @ SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(564,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ~ ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
| ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[531]) ).
thf(565,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[531]) ).
thf(566,plain,
! [SV119: pi,SV94: name,SV61: pi,SV26: pi] :
( ( ( par @ SV26 @ SV61 )
!= ( res @ SV94 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(567,plain,
! [SV120: pi,SV95: late_freeRes,SV62: pi,SV27: name] :
( ( ~ ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
| ~ ! [SY369: pi,SY370: late_freeRes,SY371: pi,SY372: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY372 @ SY369 ) )
| ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ SY370 @ ( res @ SY372 @ SY371 ) ) )
| ~ ( late_transitions @ SY369 @ ( late_FreeR @ SY370 @ SY371 ) )
| ~ ( fresh_1641682979reeRes @ SY372 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(568,plain,
! [SV121: name,SV96: pi,SV63: late_freeRes,SV28: pi] :
( ( ~ ( late_transitions @ SV28 @ ( late_FreeR @ SV63 @ SV96 ) )
| ~ ( fresh_name_pi @ SV121 @ SV28 )
| ( fresh_name_pi @ SV121 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(569,plain,
! [SV122: name,SV97: pi,SV64: late_freeRes,SV29: pi] :
( ( ~ ( late_transitions @ SV29 @ ( late_FreeR @ SV64 @ SV97 ) )
| ~ ( fresh_1641682979reeRes @ SV122 @ SV64 )
| ( late_transitions @ ( res @ SV122 @ SV29 ) @ ( late_FreeR @ SV64 @ ( res @ SV122 @ SV97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(570,plain,
! [SV98: pi,SV65: late_residual,SV30: pi] :
( ( ( ~ ( late_transitions @ SV30 @ SV65 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV98 @ SV30 ) @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(571,plain,
! [SV123: pi,SV99: pi,SV66: late_freeRes,SV31: pi] :
( ( ~ ( late_transitions @ SV31 @ ( late_FreeR @ SV66 @ SV99 ) )
| ( late_transitions @ ( par @ SV123 @ SV31 ) @ ( late_FreeR @ SV66 @ ( par @ SV123 @ SV99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(572,plain,
! [SV100: pi,SV67: late_residual,SV32: pi] :
( ( ( ~ ( late_transitions @ SV32 @ SV67 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV32 @ SV100 ) @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(573,plain,
! [SV124: late_freeRes,SV101: pi,SV69: name,SV34: late_subject] :
( ( ! [SY373: pi] :
( ( late_BoundR @ SV34 @ SV69 @ SV101 )
!= ( late_FreeR @ SV124 @ SY373 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(574,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( ! [SY242: late_subject,SY243: name,SY244: pi] : ( SV35 @ ( late_BoundR @ SY242 @ SY243 @ SY244 ) ) )
= $false )
| ( ( ~ ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) )
| ( SV35 @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(575,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= ( ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(576,plain,
! [SV126: late_freeRes,SV103: pi,SV73: name,SV38: name,SV1: name] :
( ( ! [SY374: pi] :
~ ( late_transitions @ ( res @ SV1 @ ( input @ SV38 @ SV73 @ SV103 ) ) @ ( late_FreeR @ SV126 @ SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(577,plain,
! [SV104: late_residual,SV74: pi,SV41: name,SV6: name] :
( ( late_transitions @ ( res @ SV6 @ ( input @ SV6 @ SV41 @ SV74 ) ) @ SV104 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(578,plain,
! [SV127: pi,SV105: late_freeRes,SV75: pi,SV42: name,SV7: name] :
( ( ~ ( late_transitions @ ( input @ SV7 @ SV42 @ SV75 ) @ ( late_FreeR @ SV105 @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(579,plain,
! [SV106: late_residual,SV76: pi,SV43: name,SV8: name] :
( ( late_transitions @ ( res @ SV8 @ ( output @ SV8 @ SV43 @ SV76 ) ) @ SV106 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(580,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ~ ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) ) )
| ~ ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(581,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(582,plain,
! [SV128: pi,SV109: pi,SV80: pi,SV47: name,SV12: name] :
( ( ( input @ SV12 @ SV47 @ SV80 )
!= ( par @ SV109 @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(583,plain,
! [SV110: pi,SV81: pi,SV48: pi,SV13: pi] :
( ( ( sum @ SV13 @ SV48 )
= ( par @ SV81 @ SV110 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(584,plain,
! [SV129: pi,SV111: name,SV82: pi,SV49: name,SV14: name] :
( ( ( output @ SV14 @ SV49 @ SV82 )
!= ( res @ SV111 @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(585,plain,
! [SV83: late_residual,SV50: pi,SV15: pi] :
( ( ( late_transitions @ ( sum @ SV15 @ SV50 ) @ SV83 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV15 @ SV83 )
| ( late_transitions @ SV50 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(586,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
| ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(587,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= ( ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(588,plain,
! [SV85: late_residual,SV52: pi,SV17: pi] :
( ( ( late_transitions @ ( sum @ SV17 @ SV52 ) @ SV85 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV17 @ SV85 )
| ( late_transitions @ SV52 @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(589,plain,
! [SV130: pi,SV113: pi,SV86: pi,SV53: name,SV18: name] :
( ( ( output @ SV18 @ SV53 @ SV86 )
!= ( par @ SV113 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(590,plain,
! [SV114: pi,SV88: name,SV55: name,SV20: name] :
( ( ( ~ ( ( SV20 != SV55 ) ) )
= $true )
| ( ( ~ ( ( SV20 != SV88 ) )
| ( ( subs @ ( res @ SV20 @ SV114 ) @ SV55 @ SV88 )
= ( res @ SV20 @ ( subs @ SV114 @ SV55 @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(591,plain,
! [SV131: pi,SV115: name,SV89: pi,SV56: name,SV21: name] :
( ( ( input @ SV21 @ SV56 @ SV89 )
!= ( res @ SV115 @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(592,plain,
! [SV116: pi,SV90: pi,SV57: late_freeRes,SV22: pi] :
( ( ( ~ ( late_transitions @ SV22 @ ( late_FreeR @ SV57 @ SV90 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV22 @ SV116 ) @ ( late_FreeR @ SV57 @ ( par @ SV90 @ SV116 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(593,plain,
! [SV117: pi,SV91: name,SV58: pi,SV23: pi] :
( ( ( sum @ SV23 @ SV58 )
= ( res @ SV91 @ SV117 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(594,plain,
! [SV132: pi > $o,SV118: pi,SV92: late_freeRes,SV59: pi,SV24: name] :
( ( ~ ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
| ~ ! [SY375: pi] :
( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ SY375 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SV132 @ ( res @ SV24 @ SY375 ) ) )
| ( SV132 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(595,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(596,plain,
! [SV119: pi,SV94: name,SV61: pi,SV26: pi] :
( ( ( par @ SV26 @ SV61 )
= ( res @ SV94 @ SV119 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(597,plain,
! [SV120: pi,SV95: late_freeRes,SV62: pi,SV27: name] :
( ( ( ~ ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) ) )
= $true )
| ( ( ~ ! [SY369: pi,SY370: late_freeRes,SY371: pi,SY372: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY372 @ SY369 ) )
| ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ SY370 @ ( res @ SY372 @ SY371 ) ) )
| ~ ( late_transitions @ SY369 @ ( late_FreeR @ SY370 @ SY371 ) )
| ~ ( fresh_1641682979reeRes @ SY372 @ SY370 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(598,plain,
! [SV121: name,SV96: pi,SV63: late_freeRes,SV28: pi] :
( ( ( ~ ( late_transitions @ SV28 @ ( late_FreeR @ SV63 @ SV96 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV121 @ SV28 )
| ( fresh_name_pi @ SV121 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(599,plain,
! [SV122: name,SV97: pi,SV64: late_freeRes,SV29: pi] :
( ( ( ~ ( late_transitions @ SV29 @ ( late_FreeR @ SV64 @ SV97 ) ) )
= $true )
| ( ( ~ ( fresh_1641682979reeRes @ SV122 @ SV64 )
| ( late_transitions @ ( res @ SV122 @ SV29 ) @ ( late_FreeR @ SV64 @ ( res @ SV122 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(600,plain,
! [SV98: pi,SV65: late_residual,SV30: pi] :
( ( ( late_transitions @ SV30 @ SV65 )
= $false )
| ( ( late_transitions @ ( sum @ SV98 @ SV30 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(601,plain,
! [SV123: pi,SV99: pi,SV66: late_freeRes,SV31: pi] :
( ( ( ~ ( late_transitions @ SV31 @ ( late_FreeR @ SV66 @ SV99 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV123 @ SV31 ) @ ( late_FreeR @ SV66 @ ( par @ SV123 @ SV99 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(602,plain,
! [SV100: pi,SV67: late_residual,SV32: pi] :
( ( ( late_transitions @ SV32 @ SV67 )
= $false )
| ( ( late_transitions @ ( sum @ SV32 @ SV100 ) @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(603,plain,
! [SV133: pi,SV124: late_freeRes,SV101: pi,SV69: name,SV34: late_subject] :
( ( ( late_BoundR @ SV34 @ SV69 @ SV101 )
!= ( late_FreeR @ SV124 @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(604,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( ! [SY376: name,SY377: pi] : ( SV35 @ ( late_BoundR @ ( sK1_SY242 @ SV70 @ SV35 ) @ SY376 @ SY377 ) ) )
= $false )
| ( ( ~ ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) )
| ( SV35 @ SV70 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[574]) ).
thf(605,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ~ ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
| ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
| ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(606,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= ( ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(607,plain,
! [SV134: pi,SV126: late_freeRes,SV103: pi,SV73: name,SV38: name,SV1: name] :
( ( ~ ( late_transitions @ ( res @ SV1 @ ( input @ SV38 @ SV73 @ SV103 ) ) @ ( late_FreeR @ SV126 @ SV134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(608,plain,
! [SV127: pi,SV105: late_freeRes,SV75: pi,SV42: name,SV7: name] :
( ( late_transitions @ ( input @ SV7 @ SV42 @ SV75 ) @ ( late_FreeR @ SV105 @ SV127 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(609,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ~ ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true )
| ( ( ~ ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(610,plain,
! [SV128: pi,SV109: pi,SV80: pi,SV47: name,SV12: name] :
( ( ( input @ SV12 @ SV47 @ SV80 )
= ( par @ SV109 @ SV128 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(611,plain,
! [SV129: pi,SV111: name,SV82: pi,SV49: name,SV14: name] :
( ( ( output @ SV14 @ SV49 @ SV82 )
= ( res @ SV111 @ SV129 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(612,plain,
! [SV50: pi,SV83: late_residual,SV15: pi] :
( ( ( ~ ~ ( late_transitions @ SV15 @ SV83 ) )
= $true )
| ( ( late_transitions @ SV50 @ SV83 )
= $true )
| ( ( late_transitions @ ( sum @ SV15 @ SV50 ) @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(613,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(614,plain,
! [SV52: pi,SV85: late_residual,SV17: pi] :
( ( ( ~ ~ ( late_transitions @ SV17 @ SV85 ) )
= $true )
| ( ( late_transitions @ SV52 @ SV85 )
= $true )
| ( ( late_transitions @ ( sum @ SV17 @ SV52 ) @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(615,plain,
! [SV130: pi,SV113: pi,SV86: pi,SV53: name,SV18: name] :
( ( ( output @ SV18 @ SV53 @ SV86 )
= ( par @ SV113 @ SV130 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(616,plain,
! [SV114: pi,SV88: name,SV55: name,SV20: name] :
( ( ( SV20 != SV55 )
= $false )
| ( ( ~ ( ( SV20 != SV88 ) )
| ( ( subs @ ( res @ SV20 @ SV114 ) @ SV55 @ SV88 )
= ( res @ SV20 @ ( subs @ SV114 @ SV55 @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(617,plain,
! [SV131: pi,SV115: name,SV89: pi,SV56: name,SV21: name] :
( ( ( input @ SV21 @ SV56 @ SV89 )
= ( res @ SV115 @ SV131 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(618,plain,
! [SV116: pi,SV90: pi,SV57: late_freeRes,SV22: pi] :
( ( ( late_transitions @ SV22 @ ( late_FreeR @ SV57 @ SV90 ) )
= $false )
| ( ( late_transitions @ ( par @ SV22 @ SV116 ) @ ( late_FreeR @ SV57 @ ( par @ SV90 @ SV116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(619,plain,
! [SV132: pi > $o,SV118: pi,SV92: late_freeRes,SV59: pi,SV24: name] :
( ( ( ~ ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) ) )
= $true )
| ( ( ~ ! [SY375: pi] :
( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ SY375 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SV132 @ ( res @ SV24 @ SY375 ) ) )
| ( SV132 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(620,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(621,plain,
! [SV120: pi,SV95: late_freeRes,SV62: pi,SV27: name] :
( ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false )
| ( ( ~ ! [SY369: pi,SY370: late_freeRes,SY371: pi,SY372: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY372 @ SY369 ) )
| ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ SY370 @ ( res @ SY372 @ SY371 ) ) )
| ~ ( late_transitions @ SY369 @ ( late_FreeR @ SY370 @ SY371 ) )
| ~ ( fresh_1641682979reeRes @ SY372 @ SY370 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(622,plain,
! [SV121: name,SV96: pi,SV63: late_freeRes,SV28: pi] :
( ( ( late_transitions @ SV28 @ ( late_FreeR @ SV63 @ SV96 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV121 @ SV28 )
| ( fresh_name_pi @ SV121 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(623,plain,
! [SV122: name,SV97: pi,SV64: late_freeRes,SV29: pi] :
( ( ( late_transitions @ SV29 @ ( late_FreeR @ SV64 @ SV97 ) )
= $false )
| ( ( ~ ( fresh_1641682979reeRes @ SV122 @ SV64 )
| ( late_transitions @ ( res @ SV122 @ SV29 ) @ ( late_FreeR @ SV64 @ ( res @ SV122 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(624,plain,
! [SV123: pi,SV99: pi,SV66: late_freeRes,SV31: pi] :
( ( ( late_transitions @ SV31 @ ( late_FreeR @ SV66 @ SV99 ) )
= $false )
| ( ( late_transitions @ ( par @ SV123 @ SV31 ) @ ( late_FreeR @ SV66 @ ( par @ SV123 @ SV99 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(625,plain,
! [SV133: pi,SV124: late_freeRes,SV101: pi,SV69: name,SV34: late_subject] :
( ( ( late_BoundR @ SV34 @ SV69 @ SV101 )
= ( late_FreeR @ SV124 @ SV133 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(626,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( ! [SY378: pi] : ( SV35 @ ( late_BoundR @ ( sK1_SY242 @ SV70 @ SV35 ) @ ( sK2_SY376 @ SV70 @ SV35 ) @ SY378 ) ) )
= $false )
| ( ( ~ ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) )
| ( SV35 @ SV70 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[604]) ).
thf(627,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ~ ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
| ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true )
| ( ( ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(628,plain,
! [SV134: pi,SV126: late_freeRes,SV103: pi,SV73: name,SV38: name,SV1: name] :
( ( late_transitions @ ( res @ SV1 @ ( input @ SV38 @ SV73 @ SV103 ) ) @ ( late_FreeR @ SV126 @ SV134 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(629,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(630,plain,
! [SV50: pi,SV83: late_residual,SV15: pi] :
( ( ( ~ ( late_transitions @ SV15 @ SV83 ) )
= $false )
| ( ( late_transitions @ SV50 @ SV83 )
= $true )
| ( ( late_transitions @ ( sum @ SV15 @ SV50 ) @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(631,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(632,plain,
! [SV52: pi,SV85: late_residual,SV17: pi] :
( ( ( ~ ( late_transitions @ SV17 @ SV85 ) )
= $false )
| ( ( late_transitions @ SV52 @ SV85 )
= $true )
| ( ( late_transitions @ ( sum @ SV17 @ SV52 ) @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(633,plain,
! [SV114: pi,SV88: name,SV55: name,SV20: name] :
( ( ( SV20 = SV55 )
= $true )
| ( ( ~ ( ( SV20 != SV88 ) )
| ( ( subs @ ( res @ SV20 @ SV114 ) @ SV55 @ SV88 )
= ( res @ SV20 @ ( subs @ SV114 @ SV55 @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(634,plain,
! [SV132: pi > $o,SV118: pi,SV92: late_freeRes,SV59: pi,SV24: name] :
( ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false )
| ( ( ~ ! [SY375: pi] :
( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ SY375 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SV132 @ ( res @ SV24 @ SY375 ) ) )
| ( SV132 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(635,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(636,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(637,plain,
! [SV120: pi,SV95: late_freeRes,SV62: pi,SV27: name] :
( ( ( ! [SY369: pi,SY370: late_freeRes,SY371: pi,SY372: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY372 @ SY369 ) )
| ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ SY370 @ ( res @ SY372 @ SY371 ) ) )
| ~ ( late_transitions @ SY369 @ ( late_FreeR @ SY370 @ SY371 ) )
| ~ ( fresh_1641682979reeRes @ SY372 @ SY370 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(638,plain,
! [SV63: late_freeRes,SV96: pi,SV28: pi,SV121: name] :
( ( ( ~ ( fresh_name_pi @ SV121 @ SV28 ) )
= $true )
| ( ( fresh_name_pi @ SV121 @ SV96 )
= $true )
| ( ( late_transitions @ SV28 @ ( late_FreeR @ SV63 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(639,plain,
! [SV97: pi,SV29: pi,SV64: late_freeRes,SV122: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV122 @ SV64 ) )
= $true )
| ( ( late_transitions @ ( res @ SV122 @ SV29 ) @ ( late_FreeR @ SV64 @ ( res @ SV122 @ SV97 ) ) )
= $true )
| ( ( late_transitions @ SV29 @ ( late_FreeR @ SV64 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(640,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( SV35 @ ( late_BoundR @ ( sK1_SY242 @ SV70 @ SV35 ) @ ( sK2_SY376 @ SV70 @ SV35 ) @ ( sK3_SY378 @ SV70 @ SV35 ) ) )
= $false )
| ( ( ~ ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) )
| ( SV35 @ SV70 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[626]) ).
thf(641,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
| ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
= $false )
| ( ( ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(642,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(643,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(644,plain,
! [SV50: pi,SV83: late_residual,SV15: pi] :
( ( ( late_transitions @ SV15 @ SV83 )
= $true )
| ( ( late_transitions @ SV50 @ SV83 )
= $true )
| ( ( late_transitions @ ( sum @ SV15 @ SV50 ) @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(645,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(646,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(647,plain,
! [SV52: pi,SV85: late_residual,SV17: pi] :
( ( ( late_transitions @ SV17 @ SV85 )
= $true )
| ( ( late_transitions @ SV52 @ SV85 )
= $true )
| ( ( late_transitions @ ( sum @ SV17 @ SV52 ) @ SV85 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(648,plain,
! [SV55: name,SV114: pi,SV88: name,SV20: name] :
( ( ( ~ ( ( SV20 != SV88 ) ) )
= $true )
| ( ( ( subs @ ( res @ SV20 @ SV114 ) @ SV55 @ SV88 )
= ( res @ SV20 @ ( subs @ SV114 @ SV55 @ SV88 ) ) )
= $true )
| ( ( SV20 = SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(649,plain,
! [SV118: pi,SV132: pi > $o,SV24: name,SV92: late_freeRes,SV59: pi] :
( ( ( ~ ! [SY375: pi] :
( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ SY375 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SV132 @ ( res @ SV24 @ SY375 ) ) ) )
= $true )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(650,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(651,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(652,plain,
! [SV95: late_freeRes,SV120: pi,SV62: pi,SV27: name] :
( ( ( ! [SY379: late_freeRes,SY380: pi,SY381: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY381 @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) ) )
| ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ SY379 @ ( res @ SY381 @ SY380 ) ) )
| ~ ( late_transitions @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) @ ( late_FreeR @ SY379 @ SY380 ) )
| ~ ( fresh_1641682979reeRes @ SY381 @ SY379 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[637]) ).
thf(653,plain,
! [SV63: late_freeRes,SV96: pi,SV28: pi,SV121: name] :
( ( ( fresh_name_pi @ SV121 @ SV28 )
= $false )
| ( ( fresh_name_pi @ SV121 @ SV96 )
= $true )
| ( ( late_transitions @ SV28 @ ( late_FreeR @ SV63 @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(654,plain,
! [SV97: pi,SV29: pi,SV64: late_freeRes,SV122: name] :
( ( ( fresh_1641682979reeRes @ SV122 @ SV64 )
= $false )
| ( ( late_transitions @ ( res @ SV122 @ SV29 ) @ ( late_FreeR @ SV64 @ ( res @ SV122 @ SV97 ) ) )
= $true )
| ( ( late_transitions @ SV29 @ ( late_FreeR @ SV64 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(655,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( ~ ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) ) )
= $true )
| ( ( SV35 @ SV70 )
= $true )
| ( ( SV35 @ ( late_BoundR @ ( sK1_SY242 @ SV70 @ SV35 ) @ ( sK2_SY376 @ SV70 @ SV35 ) @ ( sK3_SY378 @ SV70 @ SV35 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(656,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false )
| ( ( ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(657,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
= $false )
| ( ( ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(658,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) )
= $false )
| ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(659,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ! [SV135: name] :
( ( abs_fun_name_pi @ SV10 @ SV45 @ SV135 )
= ( abs_fun_name_pi @ SV78 @ SV108 @ SV135 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[643]) ).
thf(660,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[643]) ).
thf(661,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
= $false )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(662,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( ( SV16 != SV84 )
| ( SV51 != SV112 ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(663,plain,
! [SV55: name,SV114: pi,SV88: name,SV20: name] :
( ( ( SV20 != SV88 )
= $false )
| ( ( ( subs @ ( res @ SV20 @ SV114 ) @ SV55 @ SV88 )
= ( res @ SV20 @ ( subs @ SV114 @ SV55 @ SV88 ) ) )
= $true )
| ( ( SV20 = SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(664,plain,
! [SV118: pi,SV132: pi > $o,SV24: name,SV92: late_freeRes,SV59: pi] :
( ( ( ! [SY375: pi] :
( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ SY375 ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SV132 @ ( res @ SV24 @ SY375 ) ) ) )
= $false )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(665,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(666,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(667,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ SV60 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV25 @ SV93 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(668,plain,
! [SV95: late_freeRes,SV120: pi,SV62: pi,SV27: name] :
( ( ( ! [SY382: pi,SY383: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY383 @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) ) )
| ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( res @ SY383 @ SY382 ) ) )
| ~ ( late_transitions @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) @ ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ SY382 ) )
| ~ ( fresh_1641682979reeRes @ SY383 @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[652]) ).
thf(669,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( ! [SY245: late_freeRes,SY246: pi] : ( SV35 @ ( late_FreeR @ SY245 @ SY246 ) ) )
= $false )
| ( ( SV35 @ SV70 )
= $true )
| ( ( SV35 @ ( late_BoundR @ ( sK1_SY242 @ SV70 @ SV35 ) @ ( sK2_SY376 @ SV70 @ SV35 ) @ ( sK3_SY378 @ SV70 @ SV35 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(670,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
= $false )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(671,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( ( SV36 != SV102 )
| ( SV71 != SV125 ) )
= $true )
| ( ( ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(672,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
= $false )
| ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(673,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false )
| ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(674,plain,
! [SV78: name,SV108: pi,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false )
| ( ( ~ ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[659]) ).
thf(675,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(676,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
= $false )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(677,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
= $false )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(678,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( SV16 != SV84 )
= $true )
| ( ( SV51 != SV112 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(679,plain,
! [SV55: name,SV114: pi,SV88: name,SV20: name] :
( ( ( SV20 = SV88 )
= $true )
| ( ( ( subs @ ( res @ SV20 @ SV114 ) @ SV55 @ SV88 )
= ( res @ SV20 @ ( subs @ SV114 @ SV55 @ SV88 ) ) )
= $true )
| ( ( SV20 = SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(680,plain,
! [SV24: name,SV132: pi > $o,SV118: pi,SV92: late_freeRes,SV59: pi] :
( ( ( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ ( sK7_SY375 @ SV118 @ SV132 @ SV24 @ SV92 @ SV59 ) ) )
| ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SV132 @ ( res @ SV24 @ ( sK7_SY375 @ SV118 @ SV132 @ SV24 @ SV92 @ SV59 ) ) ) )
= $false )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[664]) ).
thf(681,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $true )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(682,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
= $true )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(683,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV25 @ SV93 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(684,plain,
! [SV95: late_freeRes,SV120: pi,SV62: pi,SV27: name] :
( ( ( ! [SY384: name] :
( ( ( res @ SV27 @ SV62 )
!= ( res @ SY384 @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) ) )
| ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( res @ SY384 @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) ) )
| ~ ( late_transitions @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) @ ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
| ~ ( fresh_1641682979reeRes @ SY384 @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[668]) ).
thf(685,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( ! [SY385: pi] : ( SV35 @ ( late_FreeR @ ( sK9_SY245 @ SV70 @ SV35 ) @ SY385 ) ) )
= $false )
| ( ( SV35 @ SV70 )
= $true )
| ( ( SV35 @ ( late_BoundR @ ( sK1_SY242 @ SV70 @ SV35 ) @ ( sK2_SY376 @ SV70 @ SV35 ) @ ( sK3_SY378 @ SV70 @ SV35 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[669]) ).
thf(686,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
= $false )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(687,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
= $false )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(688,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( SV36 != SV102 )
= $true )
| ( ( SV71 != SV125 )
= $true )
| ( ( ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(689,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $true )
| ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(690,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $true )
| ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(691,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
| ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(692,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(693,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(694,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $true )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(695,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
= $true )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(696,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( SV16 = SV84 )
= $false )
| ( ( SV51 != SV112 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(697,plain,
! [SV24: name,SV132: pi > $o,SV118: pi,SV92: late_freeRes,SV59: pi] :
( ( ( ~ ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ ( sK7_SY375 @ SV118 @ SV132 @ SV24 @ SV92 @ SV59 ) ) ) )
= $false )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(698,plain,
! [SV59: pi,SV118: pi,SV132: pi > $o,SV92: late_freeRes,SV24: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV24 @ SV92 )
| ( SV132 @ ( res @ SV24 @ ( sK7_SY375 @ SV118 @ SV132 @ SV24 @ SV92 @ SV59 ) ) ) )
= $false )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(699,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(700,plain,
! [SV60: pi,SV93: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ SV93 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(701,plain,
! [SV120: pi,SV95: late_freeRes,SV62: pi,SV27: name] :
( ( ( ( ( res @ SV27 @ SV62 )
!= ( res @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) ) )
| ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( res @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) ) )
| ~ ( late_transitions @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) @ ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[684]) ).
thf(702,plain,
! [SV70: late_residual,SV35: late_residual > $o] :
( ( ( SV35 @ ( late_FreeR @ ( sK9_SY245 @ SV70 @ SV35 ) @ ( sK11_SY385 @ SV70 @ SV35 ) ) )
= $false )
| ( ( SV35 @ SV70 )
= $true )
| ( ( SV35 @ ( late_BoundR @ ( sK1_SY242 @ SV70 @ SV35 ) @ ( sK2_SY376 @ SV70 @ SV35 ) @ ( sK3_SY378 @ SV70 @ SV35 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[685]) ).
thf(703,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $true )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(704,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
= $true )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(705,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( SV36 = SV102 )
= $false )
| ( ( SV71 != SV125 )
= $true )
| ( ( ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(706,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ! [SV136: name] :
( ( abs_fun_name_pi @ SV10 @ SV45 @ SV136 )
= ( abs_fun_name_pi @ SV78 @ SV108 @ SV136 ) ) )
= $true )
| ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[690]) ).
thf(707,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $true )
| ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[690]) ).
thf(708,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
!= ( res @ SV78 @ SV108 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(709,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
!= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(710,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(711,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(712,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( ( SV16 != SV84 )
| ( SV51 != SV112 ) )
= $false )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(713,plain,
! [SV84: late_freeRes,SV16: late_freeRes,SV112: pi,SV51: pi] :
( ( ( SV51 = SV112 )
= $false )
| ( ( SV16 = SV84 )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(714,plain,
! [SV24: name,SV132: pi > $o,SV118: pi,SV92: late_freeRes,SV59: pi] :
( ( ( late_transitions @ SV59 @ ( late_FreeR @ SV92 @ ( sK7_SY375 @ SV118 @ SV132 @ SV24 @ SV92 @ SV59 ) ) )
= $true )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(715,plain,
! [SV59: pi,SV118: pi,SV132: pi > $o,SV92: late_freeRes,SV24: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV24 @ SV92 ) )
= $false )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(716,plain,
! [SV59: pi,SV92: late_freeRes,SV118: pi,SV24: name,SV132: pi > $o] :
( ( ( SV132 @ ( res @ SV24 @ ( sK7_SY375 @ SV118 @ SV132 @ SV24 @ SV92 @ SV59 ) ) )
= $false )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(717,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ SV60 ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(718,plain,
! [SV60: pi,SV93: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ SV93 ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(719,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(720,plain,
! [SV120: pi,SV95: late_freeRes,SV62: pi,SV27: name] :
( ( ( ( res @ SV27 @ SV62 )
!= ( res @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(721,plain,
! [SV27: name,SV62: pi,SV120: pi,SV95: late_freeRes] :
( ( ( ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( res @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) ) )
| ~ ( late_transitions @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) @ ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(722,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( ( SV36 != SV102 )
| ( SV71 != SV125 ) )
= $false )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(723,plain,
! [SV102: pi,SV36: pi,SV125: pi,SV71: pi] :
( ( ( SV71 = SV125 )
= $false )
| ( ( SV36 = SV102 )
= $false )
| ( ( ~ ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(724,plain,
! [SV108: pi,SV78: name,SV137: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ SV137 )
= ( abs_fun_name_pi @ SV78 @ SV108 @ SV137 ) )
= $true )
| ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(725,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( res @ SV10 @ SV45 )
= ( res @ SV78 @ SV108 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(726,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(727,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ! [SV138: name] :
( ( abs_fun_name_pi @ SV10 @ SV45 @ SV138 )
= ( abs_fun_name_pi @ SV78 @ SV108 @ SV138 ) ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[711]) ).
thf(728,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[711]) ).
thf(729,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( SV16 != SV84 )
= $false )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(730,plain,
! [SV84: late_freeRes,SV16: late_freeRes,SV112: pi,SV51: pi] :
( ( ( SV51 != SV112 )
= $false )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(731,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
| ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
= $false )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(732,plain,
! [SV59: pi,SV118: pi,SV132: pi > $o,SV92: late_freeRes,SV24: name] :
( ( ( fresh_1641682979reeRes @ SV24 @ SV92 )
= $true )
| ( ( SV132 @ SV118 )
= $true )
| ( ( late_transitions @ ( res @ SV24 @ SV59 ) @ ( late_FreeR @ SV92 @ SV118 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(733,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ SV60 )
= $true )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(734,plain,
! [SV60: pi,SV93: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ SV93 )
= $true )
| ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(735,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(736,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(737,plain,
! [SV120: pi,SV95: late_freeRes,SV62: pi,SV27: name] :
( ( ( ( res @ SV27 @ SV62 )
= ( res @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(738,plain,
! [SV27: name,SV62: pi,SV120: pi,SV95: late_freeRes] :
( ( ( ( late_FreeR @ SV95 @ SV120 )
!= ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( res @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(739,plain,
! [SV27: name,SV62: pi,SV95: late_freeRes,SV120: pi] :
( ( ( ~ ( late_transitions @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) @ ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
| ~ ( fresh_1641682979reeRes @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(740,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( SV36 != SV102 )
= $false )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(741,plain,
! [SV102: pi,SV36: pi,SV125: pi,SV71: pi] :
( ( ( SV71 != SV125 )
= $false )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(742,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
| ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
= $false )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(743,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ! [SV139: name] :
( ( abs_fun_name_pi @ SV10 @ SV45 @ SV139 )
= ( abs_fun_name_pi @ SV78 @ SV108 @ SV139 ) ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(744,plain,
! [SV108: pi,SV78: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(745,plain,
! [SV108: pi,SV78: name,SV140: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ SV140 )
= ( abs_fun_name_pi @ SV78 @ SV108 @ SV140 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 )
= ( abs_fun_name_pi @ SV78 @ SV108 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(746,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( SV16 = SV84 )
= $true )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(747,plain,
! [SV84: late_freeRes,SV16: late_freeRes,SV112: pi,SV51: pi] :
( ( ( SV51 = SV112 )
= $true )
| ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(748,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( late_FreeR @ SV16 @ SV51 )
!= ( late_FreeR @ SV84 @ SV112 ) )
= $false )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(749,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( ~ ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
= $false )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(750,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ ( par @ SV60 @ SV93 ) )
= $true )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(751,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) ) )
= $true )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(752,plain,
! [SV27: name,SV62: pi,SV120: pi,SV95: late_freeRes] :
( ( ( ( late_FreeR @ SV95 @ SV120 )
= ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( res @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(753,plain,
! [SV27: name,SV62: pi,SV95: late_freeRes,SV120: pi] :
( ( ( ~ ( late_transitions @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) @ ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(754,plain,
! [SV27: name,SV62: pi,SV120: pi,SV95: late_freeRes] :
( ( ( ~ ( fresh_1641682979reeRes @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
= $false )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(755,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( SV36 = SV102 )
= $true )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(756,plain,
! [SV102: pi,SV36: pi,SV125: pi,SV71: pi] :
( ( ( SV71 = SV125 )
= $true )
| ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(757,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( par @ SV36 @ SV71 )
!= ( par @ SV102 @ SV125 ) )
= $false )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(758,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( ~ ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
= $false )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(759,plain,
! [SV108: pi,SV78: name,SV141: name,SV45: pi,SV10: name] :
( ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ SV141 )
= ( abs_fun_name_pi @ SV78 @ SV108 @ SV141 ) )
= $true )
| ( ( ( abs_fun_name_pi @ SV10 @ SV45 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) )
= ( abs_fun_name_pi @ SV78 @ SV108 @ ( sK6_SV135 @ SV108 @ SV78 @ SV45 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(760,plain,
! [SV112: pi,SV84: late_freeRes,SV51: pi,SV16: late_freeRes] :
( ( ( ( late_FreeR @ SV16 @ SV51 )
= ( late_FreeR @ SV84 @ SV112 ) )
= $true )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(761,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( ~ ( ( SV16 != SV84 )
| ( SV51 != SV112 ) ) )
= $true )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(762,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ SV60 )
| ~ ( fresh_name_pi @ SV25 @ SV93 ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(763,plain,
! [SV27: name,SV62: pi,SV95: late_freeRes,SV120: pi] :
( ( ( late_transitions @ ( sK4_SY369 @ SV120 @ SV95 @ SV62 @ SV27 ) @ ( late_FreeR @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK8_SY382 @ SV95 @ SV120 @ SV62 @ SV27 ) ) )
= $true )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(764,plain,
! [SV27: name,SV62: pi,SV120: pi,SV95: late_freeRes] :
( ( ( fresh_1641682979reeRes @ ( sK10_SY384 @ SV95 @ SV120 @ SV62 @ SV27 ) @ ( sK5_SY379 @ SV95 @ SV120 @ SV62 @ SV27 ) )
= $true )
| ( ( late_transitions @ ( res @ SV27 @ SV62 ) @ ( late_FreeR @ SV95 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(765,plain,
! [SV125: pi,SV102: pi,SV71: pi,SV36: pi] :
( ( ( ( par @ SV36 @ SV71 )
= ( par @ SV102 @ SV125 ) )
= $true )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(766,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( ~ ( ( SV36 != SV102 )
| ( SV71 != SV125 ) ) )
= $true )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(767,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( ( SV16 != SV84 )
| ( SV51 != SV112 ) )
= $false )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(768,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ SV60 ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(769,plain,
! [SV60: pi,SV93: pi,SV25: name] :
( ( ( ~ ( fresh_name_pi @ SV25 @ SV93 ) )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(770,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( ( SV36 != SV102 )
| ( SV71 != SV125 ) )
= $false )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(771,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( SV16 != SV84 )
= $false )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(772,plain,
! [SV84: late_freeRes,SV16: late_freeRes,SV112: pi,SV51: pi] :
( ( ( SV51 != SV112 )
= $false )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(773,plain,
! [SV93: pi,SV60: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ SV60 )
= $true )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(774,plain,
! [SV60: pi,SV93: pi,SV25: name] :
( ( ( fresh_name_pi @ SV25 @ SV93 )
= $true )
| ( ( fresh_name_pi @ SV25 @ SV60 )
= $false )
| ( ( fresh_name_pi @ SV25 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(775,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( SV36 != SV102 )
= $false )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(776,plain,
! [SV102: pi,SV36: pi,SV125: pi,SV71: pi] :
( ( ( SV71 != SV125 )
= $false )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(777,plain,
! [SV112: pi,SV51: pi,SV84: late_freeRes,SV16: late_freeRes] :
( ( ( SV16 = SV84 )
= $true )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(778,plain,
! [SV84: late_freeRes,SV16: late_freeRes,SV112: pi,SV51: pi] :
( ( ( SV51 = SV112 )
= $true )
| ( ( SV16 = SV84 )
= $false )
| ( ( SV51 = SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(779,plain,
! [SV125: pi,SV71: pi,SV102: pi,SV36: pi] :
( ( ( SV36 = SV102 )
= $true )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(780,plain,
! [SV102: pi,SV36: pi,SV125: pi,SV71: pi] :
( ( ( SV71 = SV125 )
= $true )
| ( ( SV36 = SV102 )
= $false )
| ( ( SV71 = SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(781,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[364,780,779,778,777,774,773,765,764,763,760,759,756,755,752,750,747,746,745,744,737,734,733,732,728,725,724,716,714,710,707,703,702,694,689,681,679,654,653,647,644,628,625,624,618,617,615,611,610,608,606,602,600,596,593,587,583,581,579,577,565,558,550,548,543,539,511,477,476,475,445,369,368,367,366,365]) ).
thf(782,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP189^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.20 % Computer : n003.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Oct 6 11:21:24 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.11/1.30 ..
% 5.11/1.30
% 5.11/1.30 No.of.Axioms: 43
% 5.11/1.30
% 5.11/1.30 Length.of.Defs: 0
% 5.11/1.30
% 5.11/1.30 Contains.Choice.Funs: false
% 5.11/1.30 ...................
% 5.11/1.30
% 5.11/1.30 ********************************
% 5.11/1.30 * All subproblems solved! *
% 5.11/1.30 ********************************
% 5.11/1.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:43,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:781,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.11/1.30
% 5.11/1.30 %**** Beginning of derivation protocol ****
% 5.11/1.30 % SZS output start CNFRefutation
% See solution above
% 5.11/1.30
% 5.11/1.30 %**** End of derivation protocol ****
% 5.11/1.30 %**** no. of clauses in derivation: 509 ****
% 5.11/1.30 %**** clause counter: 781 ****
% 5.11/1.30
% 5.11/1.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:43,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:781,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------