%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP164^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 10:24:27 AM UTC 2026
% Result : Theorem 1.33s 0.47s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 550 ( 168 unt; 0 typ; 0 def)
% Number of atoms : 4427 (1708 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 2243 ( 634 ~;1097 |; 0 &; 506 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 15 ( 14 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 76 ( 73 usr; 8 con; 0-3 aty)
% Number of variables : 319 ( 8 ^; 311 !; 0 ?; 319 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_produc1767851702t_unit,type,
produc1767851702t_unit: $tType ).
thf(tp_produc884009688unit_a,type,
produc884009688unit_a: $tType ).
thf(tp_produc971140967t_unit,type,
produc971140967t_unit: $tType ).
thf(tp_product_prod_a_a,type,
product_prod_a_a: $tType ).
thf(tp_product_unit,type,
product_unit: $tType ).
thf(tp_refine424419629nres_a,type,
refine424419629nres_a: $tType ).
thf(tp_refine787176636t_unit,type,
refine787176636t_unit: $tType ).
thf(tp_set_Pr1628433942t_unit,type,
set_Pr1628433942t_unit: $tType ).
thf(tp_set_Pr1720557880unit_a,type,
set_Pr1720557880unit_a: $tType ).
thf(tp_set_Pr451126599t_unit,type,
set_Pr451126599t_unit: $tType ).
thf(tp_set_Product_prod_a_a,type,
set_Product_prod_a_a: $tType ).
thf(tp_set_Product_unit,type,
set_Product_unit: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_bot_bo1087887705t_unit,type,
bot_bo1087887705t_unit: set_Product_unit ).
thf(tp_bot_bo529555393nres_a,type,
bot_bo529555393nres_a: refine424419629nres_a ).
thf(tp_bot_bo658782032t_unit,type,
bot_bo658782032t_unit: refine787176636t_unit ).
thf(tp_bot_bot_set_a,type,
bot_bot_set_a: set_a ).
thf(tp_collec1419746337t_unit,type,
collec1419746337t_unit: ( produc1767851702t_unit > $o ) > set_Pr1628433942t_unit ).
thf(tp_collec535904323unit_a,type,
collec535904323unit_a: ( produc884009688unit_a > $o ) > set_Pr1720557880unit_a ).
thf(tp_collec645855634od_a_a,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(tp_collec797068754t_unit,type,
collec797068754t_unit: ( produc971140967t_unit > $o ) > set_Pr451126599t_unit ).
thf(tp_collect_Product_unit,type,
collect_Product_unit: ( product_unit > $o ) > set_Product_unit ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_domain2090798924t_unit,type,
domain2090798924t_unit: set_Pr451126599t_unit > set_Product_unit ).
thf(tp_domain799550107t_unit,type,
domain799550107t_unit: set_Pr1628433942t_unit > set_a ).
thf(tp_domain822362941unit_a,type,
domain822362941unit_a: set_Pr1720557880unit_a > set_Product_unit ).
thf(tp_domain_a_a,type,
domain_a_a: set_Product_prod_a_a > set_a ).
thf(tp_f,type,
f: product_unit > refine424419629nres_a ).
thf(tp_if_Ref1369692790t_unit,type,
if_Ref1369692790t_unit: $o > refine787176636t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(tp_if_Ref1724547303nres_a,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_insert_Product_unit,type,
insert_Product_unit: product_unit > set_Product_unit > set_Product_unit ).
thf(tp_insert_a,type,
insert_a: a > set_a > set_a ).
thf(tp_member1211819009unit_a,type,
member1211819009unit_a: produc884009688unit_a > set_Pr1720557880unit_a > $o ).
thf(tp_member1423014800t_unit,type,
member1423014800t_unit: produc971140967t_unit > set_Pr451126599t_unit > $o ).
thf(tp_member2095661023t_unit,type,
member2095661023t_unit: produc1767851702t_unit > set_Pr1628433942t_unit > $o ).
thf(tp_member449909584od_a_a,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(tp_member_Product_unit,type,
member_Product_unit: product_unit > set_Product_unit > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_ord_le1023748749t_unit,type,
ord_le1023748749t_unit: set_Product_unit > set_Product_unit > $o ).
thf(tp_ord_le1051254044t_unit,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(tp_ord_le1824328871od_a_a,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(tp_ord_le1977877942t_unit,type,
ord_le1977877942t_unit: set_Pr1628433942t_unit > set_Pr1628433942t_unit > $o ).
thf(tp_ord_le2035129575t_unit,type,
ord_le2035129575t_unit: set_Pr451126599t_unit > set_Pr451126599t_unit > $o ).
thf(tp_ord_le2070001880unit_a,type,
ord_le2070001880unit_a: set_Pr1720557880unit_a > set_Pr1720557880unit_a > $o ).
thf(tp_ord_le519537037nres_a,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_order_1714329108nres_a,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_order_453013155t_unit,type,
order_453013155t_unit: ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(tp_partia1658438072t_unit,type,
partia1658438072t_unit: refine787176636t_unit > refine787176636t_unit > refine787176636t_unit > $o ).
thf(tp_partia906949161nres_a,type,
partia906949161nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > $o ).
thf(tp_produc1076565719t_unit,type,
produc1076565719t_unit: product_unit > product_unit > produc971140967t_unit ).
thf(tp_produc1776699686t_unit,type,
produc1776699686t_unit: a > product_unit > produc1767851702t_unit ).
thf(tp_produc1799512520unit_a,type,
produc1799512520unit_a: product_unit > a > produc884009688unit_a ).
thf(tp_product_Pair_a_a,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(tp_refine1001002027nres_a,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(tp_refine1136779702un_a_a,type,
refine1136779702un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_refine119808503unit_a,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_refine1198353288_RES_a,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(tp_refine1312857699nres_a,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(tp_refine1420258419t_unit,type,
refine1420258419t_unit: product_unit > refine787176636t_unit ).
thf(tp_refine1441824853un_a_a,type,
refine1441824853un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_refine1777164439t_unit,type,
refine1777164439t_unit: set_Product_unit > refine787176636t_unit ).
thf(tp_refine2004812827nres_a,type,
refine2004812827nres_a: ( refine424419629nres_a > refine424419629nres_a ) > ( refine424419629nres_a > refine424419629nres_a ) > $o ).
thf(tp_refine2021053540t_unit,type,
refine2021053540t_unit: set_Pr1628433942t_unit > refine787176636t_unit > refine424419629nres_a ).
thf(tp_refine2043866374unit_a,type,
refine2043866374unit_a: set_Pr1720557880unit_a > refine424419629nres_a > refine787176636t_unit ).
thf(tp_refine2063221604TURN_a,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(tp_refine2089046860nres_a,type,
refine2089046860nres_a: ( refine787176636t_unit > refine424419629nres_a ) > ( refine424419629nres_a > refine787176636t_unit ) > $o ).
thf(tp_refine230495195t_unit,type,
refine230495195t_unit: ( refine787176636t_unit > refine787176636t_unit ) > ( refine787176636t_unit > refine787176636t_unit ) > $o ).
thf(tp_refine327276970t_unit,type,
refine327276970t_unit: ( refine424419629nres_a > refine787176636t_unit ) > ( refine787176636t_unit > refine424419629nres_a ) > $o ).
thf(tp_refine341651653t_unit,type,
refine341651653t_unit: set_Pr1628433942t_unit > refine424419629nres_a > refine787176636t_unit ).
thf(tp_refine364464487unit_a,type,
refine364464487unit_a: set_Pr1720557880unit_a > refine787176636t_unit > refine424419629nres_a ).
thf(tp_refine412683989fail_a,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(tp_refine436832838nd_a_a,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_refine558004794t_unit,type,
refine558004794t_unit: refine787176636t_unit > product_unit > $o ).
thf(tp_refine579265252t_unit,type,
refine579265252t_unit: refine787176636t_unit > $o ).
thf(tp_refine681446406t_unit,type,
refine681446406t_unit: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(tp_refine838861686t_unit,type,
refine838861686t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(tp_refine944483349t_unit,type,
refine944483349t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(tp_refine96995669t_unit,type,
refine96995669t_unit: refine424419629nres_a > ( a > refine787176636t_unit ) > refine787176636t_unit ).
thf(tp_refine983493746t_unit,type,
refine983493746t_unit: refine787176636t_unit > product_unit > $o ).
thf(tp_single226969874t_unit,type,
single226969874t_unit: set_Pr1628433942t_unit > $o ).
thf(tp_single249782708unit_a,type,
single249782708unit_a: set_Pr1720557880unit_a > $o ).
thf(tp_single330234563t_unit,type,
single330234563t_unit: set_Pr451126599t_unit > $o ).
thf(tp_single_valued_a_a,type,
single_valued_a_a: set_Product_prod_a_a > $o ).
thf(tp_top_to177290092t_unit,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(tp_top_to231829469nres_a,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J_T) ).
thf(94,axiom,
bot_bo529555393nres_a != top_to231829469nres_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_nres__inequalities_I4_J) ).
thf(95,axiom,
bot_bo658782032t_unit != top_to177290092t_unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_nres__inequalities_I4_J) ).
thf(96,axiom,
top_to231829469nres_a != bot_bo529555393nres_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_nres__inequalities_I2_J) ).
thf(97,axiom,
top_to177290092t_unit != bot_bo658782032t_unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_nres__inequalities_I2_J) ).
thf(110,axiom,
! [A2: refine787176636t_unit] : ( ord_le1051254044t_unit @ bot_bo658782032t_unit @ A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_bot_Oextremum) ).
thf(111,axiom,
! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ bot_bo529555393nres_a @ A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_bot_Oextremum) ).
thf(112,axiom,
! [A2: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ A2 @ bot_bo658782032t_unit )
= ( A2 = bot_bo658782032t_unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_bot_Oextremum__unique) ).
thf(113,axiom,
! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ bot_bo529555393nres_a )
= ( A2 = bot_bo529555393nres_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_bot_Oextremum__unique) ).
thf(114,axiom,
! [A2: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ A2 @ bot_bo658782032t_unit )
=> ( A2 = bot_bo658782032t_unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_243_bot_Oextremum__uniqueI) ).
thf(115,axiom,
! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ bot_bo529555393nres_a )
=> ( A2 = bot_bo529555393nres_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_bot_Oextremum__uniqueI) ).
thf(326,axiom,
! [M: refine787176636t_unit] : ( ord_le1051254044t_unit @ bot_bo658782032t_unit @ M ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_nres__order__simps_I1_J) ).
thf(327,axiom,
! [M: refine424419629nres_a] : ( ord_le519537037nres_a @ bot_bo529555393nres_a @ M ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_nres__order__simps_I1_J) ).
thf(332,axiom,
refine412683989fail_a @ bot_bo529555393nres_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_nofail__simps_I4_J) ).
thf(333,axiom,
refine579265252t_unit @ bot_bo658782032t_unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_nofail__simps_I4_J) ).
thf(334,axiom,
! [M: refine424419629nres_a] :
( ( ord_le519537037nres_a @ M @ bot_bo529555393nres_a )
= ( M = bot_bo529555393nres_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_nres__order__simps_I2_J) ).
thf(335,axiom,
! [M: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ M @ bot_bo658782032t_unit )
= ( M = bot_bo658782032t_unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_nres__order__simps_I2_J) ).
thf(336,axiom,
( ( refine1001002027nres_a @ bot_bo529555393nres_a )
= ( ^ [Uu: a] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_inres__simps_I4_J) ).
thf(337,axiom,
( ( refine558004794t_unit @ bot_bo658782032t_unit )
= ( ^ [Uu: product_unit] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_inres__simps_I4_J) ).
thf(338,axiom,
! [X: a] :
( bot_bo529555393nres_a
!= ( refine2063221604TURN_a @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_nres__inequalities_I5_J) ).
thf(339,axiom,
! [X: product_unit] :
( bot_bo658782032t_unit
!= ( refine1420258419t_unit @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_nres__inequalities_I5_J) ).
thf(340,axiom,
! [R: set_Product_prod_a_a] :
( ( refine1441824853un_a_a @ R @ bot_bo529555393nres_a )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_conc__fun__strict) ).
thf(341,axiom,
! [R: set_Pr1720557880unit_a] :
( ( refine2043866374unit_a @ R @ bot_bo529555393nres_a )
= bot_bo658782032t_unit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_conc__fun__strict) ).
thf(342,axiom,
! [R: set_Pr1628433942t_unit] :
( ( refine2021053540t_unit @ R @ bot_bo658782032t_unit )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_conc__fun__strict) ).
thf(343,axiom,
! [R: set_Pr451126599t_unit] :
( ( refine944483349t_unit @ R @ bot_bo658782032t_unit )
= bot_bo658782032t_unit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_conc__fun__strict) ).
thf(344,axiom,
! [R: set_Product_prod_a_a] :
( ( refine1136779702un_a_a @ R @ bot_bo529555393nres_a )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_abs__fun__strict) ).
thf(345,axiom,
! [R: set_Pr1628433942t_unit] :
( ( refine341651653t_unit @ R @ bot_bo529555393nres_a )
= bot_bo658782032t_unit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_abs__fun__strict) ).
thf(346,axiom,
! [R: set_Pr1720557880unit_a] :
( ( refine364464487unit_a @ R @ bot_bo658782032t_unit )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_abs__fun__strict) ).
thf(347,axiom,
! [R: set_Pr451126599t_unit] :
( ( refine838861686t_unit @ R @ bot_bo658782032t_unit )
= bot_bo658782032t_unit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_abs__fun__strict) ).
thf(350,axiom,
! [X: product_unit,F: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ ( refine1420258419t_unit @ X ) @ F )
= ( F @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_nres__monad1) ).
thf(354,axiom,
! [F: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ bot_bo658782032t_unit @ F )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_bind__SUCCEED) ).
thf(355,axiom,
! [F: a > refine424419629nres_a] :
( ( refine436832838nd_a_a @ bot_bo529555393nres_a @ F )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_bind__SUCCEED) ).
thf(356,axiom,
! [F: a > refine787176636t_unit] :
( ( refine96995669t_unit @ bot_bo529555393nres_a @ F )
= bot_bo658782032t_unit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_bind__SUCCEED) ).
thf(357,axiom,
! [F: product_unit > refine787176636t_unit] :
( ( refine681446406t_unit @ bot_bo658782032t_unit @ F )
= bot_bo658782032t_unit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_bind__SUCCEED) ).
thf(358,conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(359,negated_conjecture,
( ( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a )
= $false ),
inference(negate_conjecture,[status(cth)],[358]) ).
thf(360,plain,
( ( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a )
= $false ),
inference(unfold_def,[status(thm)],[359]) ).
thf(361,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(362,plain,
( ( bot_bo529555393nres_a != top_to231829469nres_a )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(363,plain,
( ( bot_bo658782032t_unit != top_to177290092t_unit )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(364,plain,
( ( top_to231829469nres_a != bot_bo529555393nres_a )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(365,plain,
( ( top_to177290092t_unit != bot_bo658782032t_unit )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(366,plain,
( ( ! [A2: refine787176636t_unit] : ( ord_le1051254044t_unit @ bot_bo658782032t_unit @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(367,plain,
( ( ! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ bot_bo529555393nres_a @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(368,plain,
( ( ! [A2: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ A2 @ bot_bo658782032t_unit )
= ( A2 = bot_bo658782032t_unit ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(369,plain,
( ( ! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ bot_bo529555393nres_a )
= ( A2 = bot_bo529555393nres_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(370,plain,
( ( ! [A2: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ A2 @ bot_bo658782032t_unit )
=> ( A2 = bot_bo658782032t_unit ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(371,plain,
( ( ! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ bot_bo529555393nres_a )
=> ( A2 = bot_bo529555393nres_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(372,plain,
( ( ! [M: refine787176636t_unit] : ( ord_le1051254044t_unit @ bot_bo658782032t_unit @ M ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(373,plain,
( ( ! [M: refine424419629nres_a] : ( ord_le519537037nres_a @ bot_bo529555393nres_a @ M ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(374,plain,
( ( refine412683989fail_a @ bot_bo529555393nres_a )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(375,plain,
( ( refine579265252t_unit @ bot_bo658782032t_unit )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(376,plain,
( ( ! [M: refine424419629nres_a] :
( ( ord_le519537037nres_a @ M @ bot_bo529555393nres_a )
= ( M = bot_bo529555393nres_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(377,plain,
( ( ! [M: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ M @ bot_bo658782032t_unit )
= ( M = bot_bo658782032t_unit ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(378,plain,
( ( ( refine1001002027nres_a @ bot_bo529555393nres_a )
= ( ^ [Uu: a] : $false ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(379,plain,
( ( ( refine558004794t_unit @ bot_bo658782032t_unit )
= ( ^ [Uu: product_unit] : $false ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(380,plain,
( ( ! [X: a] :
( bot_bo529555393nres_a
!= ( refine2063221604TURN_a @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(381,plain,
( ( ! [X: product_unit] :
( bot_bo658782032t_unit
!= ( refine1420258419t_unit @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(382,plain,
( ( ! [R: set_Product_prod_a_a] :
( ( refine1441824853un_a_a @ R @ bot_bo529555393nres_a )
= bot_bo529555393nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(383,plain,
( ( ! [R: set_Pr1720557880unit_a] :
( ( refine2043866374unit_a @ R @ bot_bo529555393nres_a )
= bot_bo658782032t_unit ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(384,plain,
( ( ! [R: set_Pr1628433942t_unit] :
( ( refine2021053540t_unit @ R @ bot_bo658782032t_unit )
= bot_bo529555393nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(385,plain,
( ( ! [R: set_Pr451126599t_unit] :
( ( refine944483349t_unit @ R @ bot_bo658782032t_unit )
= bot_bo658782032t_unit ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(386,plain,
( ( ! [R: set_Product_prod_a_a] :
( ( refine1136779702un_a_a @ R @ bot_bo529555393nres_a )
= bot_bo529555393nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(387,plain,
( ( ! [R: set_Pr1628433942t_unit] :
( ( refine341651653t_unit @ R @ bot_bo529555393nres_a )
= bot_bo658782032t_unit ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(388,plain,
( ( ! [R: set_Pr1720557880unit_a] :
( ( refine364464487unit_a @ R @ bot_bo658782032t_unit )
= bot_bo529555393nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(389,plain,
( ( ! [R: set_Pr451126599t_unit] :
( ( refine838861686t_unit @ R @ bot_bo658782032t_unit )
= bot_bo658782032t_unit ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(390,plain,
( ( ! [X: product_unit,F: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ ( refine1420258419t_unit @ X ) @ F )
= ( F @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(391,plain,
( ( ! [F: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ bot_bo658782032t_unit @ F )
= bot_bo529555393nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(392,plain,
( ( ! [F: a > refine424419629nres_a] :
( ( refine436832838nd_a_a @ bot_bo529555393nres_a @ F )
= bot_bo529555393nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(393,plain,
( ( ! [F: a > refine787176636t_unit] :
( ( refine96995669t_unit @ bot_bo529555393nres_a @ F )
= bot_bo658782032t_unit ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(394,plain,
( ( ! [F: product_unit > refine787176636t_unit] :
( ( refine681446406t_unit @ bot_bo658782032t_unit @ F )
= bot_bo658782032t_unit ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(395,plain,
( ( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
!= bot_bo529555393nres_a )
= $true ),
inference(polarity_switch,[status(thm)],[360]) ).
thf(396,plain,
( ( ! [F: product_unit > refine787176636t_unit] :
( ( refine681446406t_unit @ bot_bo658782032t_unit @ F )
= bot_bo658782032t_unit ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(397,plain,
( ( ! [F: a > refine787176636t_unit] :
( ( refine96995669t_unit @ bot_bo529555393nres_a @ F )
= bot_bo658782032t_unit ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(398,plain,
( ( ! [F: a > refine424419629nres_a] :
( ( refine436832838nd_a_a @ bot_bo529555393nres_a @ F )
= bot_bo529555393nres_a ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(399,plain,
( ( ! [F: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ bot_bo658782032t_unit @ F )
= bot_bo529555393nres_a ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(400,plain,
( ( ! [X: product_unit,F: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ ( refine1420258419t_unit @ X ) @ F )
= ( F @ X ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(401,plain,
( ( ! [R: set_Pr451126599t_unit] :
( ( refine838861686t_unit @ R @ bot_bo658782032t_unit )
= bot_bo658782032t_unit ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(402,plain,
( ( ! [R: set_Pr1720557880unit_a] :
( ( refine364464487unit_a @ R @ bot_bo658782032t_unit )
= bot_bo529555393nres_a ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(403,plain,
( ( ! [R: set_Pr1628433942t_unit] :
( ( refine341651653t_unit @ R @ bot_bo529555393nres_a )
= bot_bo658782032t_unit ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(404,plain,
( ( ! [R: set_Product_prod_a_a] :
( ( refine1136779702un_a_a @ R @ bot_bo529555393nres_a )
= bot_bo529555393nres_a ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(405,plain,
( ( ! [R: set_Pr451126599t_unit] :
( ( refine944483349t_unit @ R @ bot_bo658782032t_unit )
= bot_bo658782032t_unit ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(406,plain,
( ( ! [R: set_Pr1628433942t_unit] :
( ( refine2021053540t_unit @ R @ bot_bo658782032t_unit )
= bot_bo529555393nres_a ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(407,plain,
( ( ! [R: set_Pr1720557880unit_a] :
( ( refine2043866374unit_a @ R @ bot_bo529555393nres_a )
= bot_bo658782032t_unit ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(408,plain,
( ( ! [R: set_Product_prod_a_a] :
( ( refine1441824853un_a_a @ R @ bot_bo529555393nres_a )
= bot_bo529555393nres_a ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(409,plain,
( ( ! [X: product_unit] :
( bot_bo658782032t_unit
!= ( refine1420258419t_unit @ X ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(410,plain,
( ( ! [X: a] :
( bot_bo529555393nres_a
!= ( refine2063221604TURN_a @ X ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(411,plain,
( ( ( refine558004794t_unit @ bot_bo658782032t_unit )
= ( ^ [Uu: product_unit] : $false ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(412,plain,
( ( ( refine1001002027nres_a @ bot_bo529555393nres_a )
= ( ^ [Uu: a] : $false ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(413,plain,
( ( ! [M: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ M @ bot_bo658782032t_unit )
= ( M = bot_bo658782032t_unit ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(414,plain,
( ( ! [M: refine424419629nres_a] :
( ( ord_le519537037nres_a @ M @ bot_bo529555393nres_a )
= ( M = bot_bo529555393nres_a ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(415,plain,
( ( refine579265252t_unit @ bot_bo658782032t_unit )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(416,plain,
( ( refine412683989fail_a @ bot_bo529555393nres_a )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(417,plain,
( ( ! [M: refine424419629nres_a] : ( ord_le519537037nres_a @ bot_bo529555393nres_a @ M ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(418,plain,
( ( ! [M: refine787176636t_unit] : ( ord_le1051254044t_unit @ bot_bo658782032t_unit @ M ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(419,plain,
( ( ! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ bot_bo529555393nres_a )
=> ( A2 = bot_bo529555393nres_a ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(420,plain,
( ( ! [A2: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ A2 @ bot_bo658782032t_unit )
=> ( A2 = bot_bo658782032t_unit ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(421,plain,
( ( ! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ bot_bo529555393nres_a )
= ( A2 = bot_bo529555393nres_a ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(422,plain,
( ( ! [A2: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ A2 @ bot_bo658782032t_unit )
= ( A2 = bot_bo658782032t_unit ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(423,plain,
( ( ! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ bot_bo529555393nres_a @ A2 ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(424,plain,
( ( ! [A2: refine787176636t_unit] : ( ord_le1051254044t_unit @ bot_bo658782032t_unit @ A2 ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(425,plain,
( ( top_to177290092t_unit != bot_bo658782032t_unit )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(426,plain,
( ( top_to231829469nres_a != bot_bo529555393nres_a )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(427,plain,
( ( bot_bo658782032t_unit != top_to177290092t_unit )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(428,plain,
( ( bot_bo529555393nres_a != top_to231829469nres_a )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(429,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(430,plain,
( ( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
!= bot_bo529555393nres_a )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(431,plain,
( ( ! [SX0: a] :
( bot_bo529555393nres_a
!= ( refine2063221604TURN_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(432,plain,
( ( ! [SX0: product_unit] :
( bot_bo658782032t_unit
!= ( refine1420258419t_unit @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(433,plain,
( ( ! [SX0: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ bot_bo529555393nres_a )
| ( SX0 = bot_bo529555393nres_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(434,plain,
( ( top_to231829469nres_a != bot_bo529555393nres_a )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(435,plain,
( ( bot_bo529555393nres_a != top_to231829469nres_a )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(436,plain,
( ( ! [SX0: refine787176636t_unit] :
( ~ ( ord_le1051254044t_unit @ SX0 @ bot_bo658782032t_unit )
| ( SX0 = bot_bo658782032t_unit ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(437,plain,
( ( top_to177290092t_unit != bot_bo658782032t_unit )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(438,plain,
( ( bot_bo658782032t_unit != top_to177290092t_unit )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(439,plain,
! [SV1: product_unit > refine787176636t_unit] :
( ( ( refine681446406t_unit @ bot_bo658782032t_unit @ SV1 )
= bot_bo658782032t_unit )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(440,plain,
! [SV2: a > refine787176636t_unit] :
( ( ( refine96995669t_unit @ bot_bo529555393nres_a @ SV2 )
= bot_bo658782032t_unit )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(441,plain,
! [SV3: a > refine424419629nres_a] :
( ( ( refine436832838nd_a_a @ bot_bo529555393nres_a @ SV3 )
= bot_bo529555393nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(442,plain,
! [SV4: product_unit > refine424419629nres_a] :
( ( ( refine119808503unit_a @ bot_bo658782032t_unit @ SV4 )
= bot_bo529555393nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(443,plain,
! [SV5: product_unit] :
( ( ! [SY29: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ ( refine1420258419t_unit @ SV5 ) @ SY29 )
= ( SY29 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(444,plain,
! [SV6: set_Pr451126599t_unit] :
( ( ( refine838861686t_unit @ SV6 @ bot_bo658782032t_unit )
= bot_bo658782032t_unit )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(445,plain,
! [SV7: set_Pr1720557880unit_a] :
( ( ( refine364464487unit_a @ SV7 @ bot_bo658782032t_unit )
= bot_bo529555393nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(446,plain,
! [SV8: set_Pr1628433942t_unit] :
( ( ( refine341651653t_unit @ SV8 @ bot_bo529555393nres_a )
= bot_bo658782032t_unit )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(447,plain,
! [SV9: set_Product_prod_a_a] :
( ( ( refine1136779702un_a_a @ SV9 @ bot_bo529555393nres_a )
= bot_bo529555393nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(448,plain,
! [SV10: set_Pr451126599t_unit] :
( ( ( refine944483349t_unit @ SV10 @ bot_bo658782032t_unit )
= bot_bo658782032t_unit )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(449,plain,
! [SV11: set_Pr1628433942t_unit] :
( ( ( refine2021053540t_unit @ SV11 @ bot_bo658782032t_unit )
= bot_bo529555393nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(450,plain,
! [SV12: set_Pr1720557880unit_a] :
( ( ( refine2043866374unit_a @ SV12 @ bot_bo529555393nres_a )
= bot_bo658782032t_unit )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(451,plain,
! [SV13: set_Product_prod_a_a] :
( ( ( refine1441824853un_a_a @ SV13 @ bot_bo529555393nres_a )
= bot_bo529555393nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(452,plain,
( ( ! [SV14: product_unit] :
( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV14 )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[411]) ).
thf(453,plain,
( ( ( refine558004794t_unit @ bot_bo658782032t_unit )
= ( ^ [Uu: product_unit] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[411]) ).
thf(454,plain,
( ( ! [SV15: a] :
( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV15 )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[412]) ).
thf(455,plain,
( ( ( refine1001002027nres_a @ bot_bo529555393nres_a )
= ( ^ [Uu: a] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[412]) ).
thf(456,plain,
! [SV16: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= ( SV16 = bot_bo658782032t_unit ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(457,plain,
! [SV17: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= ( SV17 = bot_bo529555393nres_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(458,plain,
! [SV18: refine424419629nres_a] :
( ( ord_le519537037nres_a @ bot_bo529555393nres_a @ SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(459,plain,
! [SV19: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ bot_bo658782032t_unit @ SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(460,plain,
! [SV20: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= ( SV20 = bot_bo529555393nres_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(461,plain,
! [SV21: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= ( SV21 = bot_bo658782032t_unit ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(462,plain,
! [SV22: refine424419629nres_a] :
( ( ord_le519537037nres_a @ bot_bo529555393nres_a @ SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(463,plain,
! [SV23: refine787176636t_unit] :
( ( ord_le1051254044t_unit @ bot_bo658782032t_unit @ SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(464,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
| ( SV24 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[429]) ).
thf(465,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[429]) ).
thf(466,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[429]) ).
thf(467,plain,
( ( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(468,plain,
! [SV25: a] :
( ( bot_bo529555393nres_a
!= ( refine2063221604TURN_a @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(469,plain,
! [SV26: product_unit] :
( ( bot_bo658782032t_unit
!= ( refine1420258419t_unit @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(470,plain,
! [SV27: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV27 @ bot_bo529555393nres_a )
| ( SV27 = bot_bo529555393nres_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(471,plain,
( ( top_to231829469nres_a = bot_bo529555393nres_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(472,plain,
( ( bot_bo529555393nres_a = top_to231829469nres_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(473,plain,
! [SV28: refine787176636t_unit] :
( ( ~ ( ord_le1051254044t_unit @ SV28 @ bot_bo658782032t_unit )
| ( SV28 = bot_bo658782032t_unit ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(474,plain,
( ( top_to177290092t_unit = bot_bo658782032t_unit )
= $false ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(475,plain,
( ( bot_bo658782032t_unit = top_to177290092t_unit )
= $false ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(476,plain,
! [SV29: product_unit > refine424419629nres_a,SV5: product_unit] :
( ( ( refine119808503unit_a @ ( refine1420258419t_unit @ SV5 ) @ SV29 )
= ( SV29 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(477,plain,
! [SV30: product_unit] :
( ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(478,plain,
! [SV31: a] :
( ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(479,plain,
! [SV16: refine787176636t_unit] :
( ( ~ ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 = bot_bo658782032t_unit ) )
| ~ ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 != bot_bo658782032t_unit ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[456]) ).
thf(480,plain,
! [SV16: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= ( SV16 = bot_bo658782032t_unit ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[456]) ).
thf(481,plain,
! [SV17: refine424419629nres_a] :
( ( ~ ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 = bot_bo529555393nres_a ) )
| ~ ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 != bot_bo529555393nres_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[457]) ).
thf(482,plain,
! [SV17: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= ( SV17 = bot_bo529555393nres_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[457]) ).
thf(483,plain,
! [SV20: refine424419629nres_a] :
( ( ~ ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 = bot_bo529555393nres_a ) )
| ~ ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 != bot_bo529555393nres_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[460]) ).
thf(484,plain,
! [SV20: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= ( SV20 = bot_bo529555393nres_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[460]) ).
thf(485,plain,
! [SV21: refine787176636t_unit] :
( ( ~ ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 = bot_bo658782032t_unit ) )
| ~ ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 != bot_bo658782032t_unit ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[461]) ).
thf(486,plain,
! [SV21: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= ( SV21 = bot_bo658782032t_unit ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[461]) ).
thf(487,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(488,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(489,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(490,plain,
! [SV25: a] :
( ( bot_bo529555393nres_a
= ( refine2063221604TURN_a @ SV25 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(491,plain,
! [SV26: product_unit] :
( ( bot_bo658782032t_unit
= ( refine1420258419t_unit @ SV26 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(492,plain,
! [SV27: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV27 @ bot_bo529555393nres_a ) )
= $true )
| ( ( SV27 = bot_bo529555393nres_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(493,plain,
! [SV28: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV28 @ bot_bo658782032t_unit ) )
= $true )
| ( ( SV28 = bot_bo658782032t_unit )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(494,plain,
! [SV30: product_unit] :
( ( ~ ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| $false )
| ~ ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(495,plain,
! [SV30: product_unit] :
( ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(496,plain,
! [SV31: a] :
( ( ~ ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| $false )
| ~ ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(497,plain,
! [SV31: a] :
( ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(498,plain,
! [SV16: refine787176636t_unit] :
( ( ( ~ ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 = bot_bo658782032t_unit ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 != bot_bo658782032t_unit ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(499,plain,
! [SV17: refine424419629nres_a] :
( ( ( ~ ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 = bot_bo529555393nres_a ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 != bot_bo529555393nres_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(500,plain,
! [SV20: refine424419629nres_a] :
( ( ( ~ ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 = bot_bo529555393nres_a ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 != bot_bo529555393nres_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(501,plain,
! [SV21: refine787176636t_unit] :
( ( ( ~ ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 = bot_bo658782032t_unit ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 != bot_bo658782032t_unit ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(502,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $true )
| ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[487]) ).
thf(503,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[487]) ).
thf(504,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(505,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(506,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[489]) ).
thf(507,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[489]) ).
thf(508,plain,
! [SV27: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV27 @ bot_bo529555393nres_a )
= $false )
| ( ( SV27 = bot_bo529555393nres_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(509,plain,
! [SV28: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV28 @ bot_bo658782032t_unit )
= $false )
| ( ( SV28 = bot_bo658782032t_unit )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(510,plain,
! [SV30: product_unit] :
( ( ( ~ ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(511,plain,
! [SV31: a] :
( ( ( ~ ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(512,plain,
! [SV16: refine787176636t_unit] :
( ( ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 = bot_bo658782032t_unit ) )
= $false )
| ( ( ~ ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 != bot_bo658782032t_unit ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(513,plain,
! [SV17: refine424419629nres_a] :
( ( ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 = bot_bo529555393nres_a ) )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 != bot_bo529555393nres_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(514,plain,
! [SV20: refine424419629nres_a] :
( ( ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 = bot_bo529555393nres_a ) )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 != bot_bo529555393nres_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(515,plain,
! [SV21: refine787176636t_unit] :
( ( ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 = bot_bo658782032t_unit ) )
= $false )
| ( ( ~ ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 != bot_bo658782032t_unit ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(516,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $true ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(517,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[503]) ).
thf(518,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[503]) ).
thf(519,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(520,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(521,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(522,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(523,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(524,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(525,plain,
! [SV30: product_unit] :
( ( ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| $false )
= $false )
| ( ( ~ ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(526,plain,
! [SV31: a] :
( ( ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| $false )
= $false )
| ( ( ~ ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(527,plain,
! [SV16: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= $false )
| ( ( ~ ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 != bot_bo658782032t_unit ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(528,plain,
! [SV16: refine787176636t_unit] :
( ( ( SV16 = bot_bo658782032t_unit )
= $false )
| ( ( ~ ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 != bot_bo658782032t_unit ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(529,plain,
! [SV17: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 != bot_bo529555393nres_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(530,plain,
! [SV17: refine424419629nres_a] :
( ( ( SV17 = bot_bo529555393nres_a )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 != bot_bo529555393nres_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(531,plain,
! [SV20: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 != bot_bo529555393nres_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(532,plain,
! [SV20: refine424419629nres_a] :
( ( ( SV20 = bot_bo529555393nres_a )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 != bot_bo529555393nres_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(533,plain,
! [SV21: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= $false )
| ( ( ~ ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 != bot_bo658782032t_unit ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(534,plain,
! [SV21: refine787176636t_unit] :
( ( ( SV21 = bot_bo658782032t_unit )
= $false )
| ( ( ~ ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 != bot_bo658782032t_unit ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(535,plain,
! [SV24: $o] :
( ( ( SV24
| $true )
= $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(536,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(537,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(538,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(539,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(540,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(541,plain,
! [SV30: product_unit] :
( ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $false )
| ( ( ~ ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(542,plain,
! [SV30: product_unit] :
( ( $false = $false )
| ( ( ~ ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(543,plain,
! [SV31: a] :
( ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $false )
| ( ( ~ ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(544,plain,
! [SV31: a] :
( ( $false = $false )
| ( ( ~ ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(545,plain,
! [SV16: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 != bot_bo658782032t_unit ) )
= $false )
| ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(546,plain,
! [SV16: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
| ( SV16 != bot_bo658782032t_unit ) )
= $false )
| ( ( SV16 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(547,plain,
! [SV17: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 != bot_bo529555393nres_a ) )
= $false )
| ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(548,plain,
! [SV17: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
| ( SV17 != bot_bo529555393nres_a ) )
= $false )
| ( ( SV17 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(549,plain,
! [SV20: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 != bot_bo529555393nres_a ) )
= $false )
| ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(550,plain,
! [SV20: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
| ( SV20 != bot_bo529555393nres_a ) )
= $false )
| ( ( SV20 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(551,plain,
! [SV21: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 != bot_bo658782032t_unit ) )
= $false )
| ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(552,plain,
! [SV21: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
| ( SV21 != bot_bo658782032t_unit ) )
= $false )
| ( ( SV21 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(553,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(554,plain,
! [SV24: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(555,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(556,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(557,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(558,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(559,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(560,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(561,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(562,plain,
! [SV30: product_unit] :
( ( ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| ~ $false )
= $false )
| ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(563,plain,
! [SV30: product_unit] :
( ( ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(564,plain,
! [SV31: a] :
( ( ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| ~ $false )
= $false )
| ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(565,plain,
! [SV31: a] :
( ( ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(566,plain,
! [SV16: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit ) )
= $false )
| ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(567,plain,
! [SV16: refine787176636t_unit] :
( ( ( SV16 != bot_bo658782032t_unit )
= $false )
| ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(568,plain,
! [SV16: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit ) )
= $false )
| ( ( SV16 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[546]) ).
thf(569,plain,
! [SV16: refine787176636t_unit] :
( ( ( SV16 != bot_bo658782032t_unit )
= $false )
| ( ( SV16 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[546]) ).
thf(570,plain,
! [SV17: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a ) )
= $false )
| ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(571,plain,
! [SV17: refine424419629nres_a] :
( ( ( SV17 != bot_bo529555393nres_a )
= $false )
| ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(572,plain,
! [SV17: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a ) )
= $false )
| ( ( SV17 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(573,plain,
! [SV17: refine424419629nres_a] :
( ( ( SV17 != bot_bo529555393nres_a )
= $false )
| ( ( SV17 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(574,plain,
! [SV20: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a ) )
= $false )
| ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(575,plain,
! [SV20: refine424419629nres_a] :
( ( ( SV20 != bot_bo529555393nres_a )
= $false )
| ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(576,plain,
! [SV20: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a ) )
= $false )
| ( ( SV20 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(577,plain,
! [SV20: refine424419629nres_a] :
( ( ( SV20 != bot_bo529555393nres_a )
= $false )
| ( ( SV20 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(578,plain,
! [SV21: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit ) )
= $false )
| ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(579,plain,
! [SV21: refine787176636t_unit] :
( ( ( SV21 != bot_bo658782032t_unit )
= $false )
| ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(580,plain,
! [SV21: refine787176636t_unit] :
( ( ( ~ ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit ) )
= $false )
| ( ( SV21 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[552]) ).
thf(581,plain,
! [SV21: refine787176636t_unit] :
( ( ( SV21 != bot_bo658782032t_unit )
= $false )
| ( ( SV21 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[552]) ).
thf(582,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $true )
= $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(583,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(584,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(585,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(586,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(587,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(588,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(589,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(590,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(591,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(592,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(593,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(594,plain,
! [SV30: product_unit] :
( ( ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 ) )
= $false )
| ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(595,plain,
! [SV30: product_unit] :
( ( ( ~ $false ) = $false )
| ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(596,plain,
! [SV30: product_unit] :
( ( ( ~ ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(597,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(598,plain,
! [SV31: a] :
( ( ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 ) )
= $false )
| ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(599,plain,
! [SV31: a] :
( ( ( ~ $false ) = $false )
| ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(600,plain,
! [SV31: a] :
( ( ( ~ ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(601,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(602,plain,
! [SV16: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= $true )
| ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(603,plain,
! [SV16: refine787176636t_unit] :
( ( ( SV16 = bot_bo658782032t_unit )
= $true )
| ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(604,plain,
! [SV16: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV16 @ bot_bo658782032t_unit )
= $true )
| ( ( SV16 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(605,plain,
! [SV16: refine787176636t_unit] :
( ( ( SV16 = bot_bo658782032t_unit )
= $true )
| ( ( SV16 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(606,plain,
! [SV17: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= $true )
| ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(607,plain,
! [SV17: refine424419629nres_a] :
( ( ( SV17 = bot_bo529555393nres_a )
= $true )
| ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(608,plain,
! [SV17: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV17 @ bot_bo529555393nres_a )
= $true )
| ( ( SV17 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(609,plain,
! [SV17: refine424419629nres_a] :
( ( ( SV17 = bot_bo529555393nres_a )
= $true )
| ( ( SV17 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(610,plain,
! [SV20: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= $true )
| ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(611,plain,
! [SV20: refine424419629nres_a] :
( ( ( SV20 = bot_bo529555393nres_a )
= $true )
| ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(612,plain,
! [SV20: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV20 @ bot_bo529555393nres_a )
= $true )
| ( ( SV20 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(613,plain,
! [SV20: refine424419629nres_a] :
( ( ( SV20 = bot_bo529555393nres_a )
= $true )
| ( ( SV20 = bot_bo529555393nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(614,plain,
! [SV21: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= $true )
| ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(615,plain,
! [SV21: refine787176636t_unit] :
( ( ( SV21 = bot_bo658782032t_unit )
= $true )
| ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(616,plain,
! [SV21: refine787176636t_unit] :
( ( ( ord_le1051254044t_unit @ SV21 @ bot_bo658782032t_unit )
= $true )
| ( ( SV21 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(617,plain,
! [SV21: refine787176636t_unit] :
( ( ( SV21 = bot_bo658782032t_unit )
= $true )
| ( ( SV21 = bot_bo658782032t_unit )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(618,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(619,plain,
! [SV24: $o] :
( ( ( ~ $true ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(620,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(621,plain,
! [SV24: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(622,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(623,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(624,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(625,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(626,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(627,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(628,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(629,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(630,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(631,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(632,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(633,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(634,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(635,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(636,plain,
! [SV30: product_unit] :
( ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $true )
| ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(637,plain,
! [SV30: product_unit] :
( ( $false = $true )
| ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(638,plain,
! [SV30: product_unit] :
( ( ( refine558004794t_unit @ bot_bo658782032t_unit @ SV30 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(639,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(640,plain,
! [SV31: a] :
( ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $true )
| ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(641,plain,
! [SV31: a] :
( ( $false = $true )
| ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(642,plain,
! [SV31: a] :
( ( ( refine1001002027nres_a @ bot_bo529555393nres_a @ SV31 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(643,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(644,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(645,plain,
! [SV24: $o] :
( ( $true = $true )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(646,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(647,plain,
! [SV24: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(648,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(649,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(650,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(651,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(652,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(653,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(654,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(655,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(656,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(657,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(658,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(659,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(660,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(661,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(662,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(663,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(664,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(665,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(666,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(667,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(668,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[644]) ).
thf(669,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[644]) ).
thf(670,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[645]) ).
thf(671,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[645]) ).
thf(672,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[646]) ).
thf(673,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[646]) ).
thf(674,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(675,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(676,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(677,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(678,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(679,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(680,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[652]) ).
thf(681,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[652]) ).
thf(682,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[653]) ).
thf(683,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[653]) ).
thf(684,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(685,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(686,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[655]) ).
thf(687,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[655]) ).
thf(688,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(689,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(690,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(691,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(692,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[660]) ).
thf(693,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[660]) ).
thf(694,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[661]) ).
thf(695,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[661]) ).
thf(696,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[662]) ).
thf(697,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[662]) ).
thf(698,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[663]) ).
thf(699,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[663]) ).
thf(700,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(701,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(702,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(703,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(704,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(705,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(706,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(707,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(708,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(709,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(710,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(711,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(712,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(713,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(714,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(715,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(716,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(717,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(718,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(719,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(720,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(721,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(722,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(723,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(724,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(725,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(726,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(727,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(728,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(729,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(730,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(731,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(732,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(733,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(734,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(735,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(736,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(737,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(738,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(739,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(740,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(741,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(742,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(743,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(744,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(745,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(746,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(747,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(748,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(749,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(750,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(751,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(752,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(753,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(754,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(755,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(756,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(757,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(758,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(759,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(760,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(761,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(762,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(763,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(764,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(765,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(766,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(767,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(768,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(769,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(770,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(771,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(772,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(773,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(774,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(775,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(776,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(777,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(778,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(779,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(780,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(781,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(782,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(783,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(784,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(785,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(786,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(787,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(788,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(789,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(790,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(791,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(792,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(793,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(794,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(795,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(796,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(797,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(798,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(799,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(800,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(801,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(802,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(803,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(804,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(805,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(806,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(807,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(808,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(809,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(810,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(811,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(812,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(813,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(814,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(815,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(816,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(817,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(818,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(819,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(820,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(821,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(822,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(823,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(824,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(825,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(826,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[778]) ).
thf(827,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(828,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(829,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(830,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(831,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(832,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(833,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(834,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(835,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(836,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(837,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(838,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(839,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(840,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(841,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(842,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(843,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(844,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(845,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(846,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(847,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(848,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(849,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(850,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(851,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(852,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(853,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(854,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(855,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(856,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(857,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(858,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(859,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(860,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(861,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(862,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(863,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(864,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(865,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(866,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(867,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(868,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(869,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(870,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(871,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(872,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[415,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,703,702,701,700,699,697,695,693,691,690,689,688,687,685,683,681,679,678,677,676,675,673,671,669,643,642,641,640,639,638,637,636,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,524,521,518,509,508,497,495,491,490,486,484,482,480,476,475,474,472,471,467,463,462,459,458,455,453,451,450,449,448,447,446,445,444,442,441,440,439,416]) ).
thf(873,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP164^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n011.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 11:19:06 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/0.47 ..
% 1.33/0.47
% 1.33/0.47 No.of.Axioms: 34
% 1.33/0.47
% 1.33/0.47 Length.of.Defs: 0
% 1.33/0.47
% 1.33/0.47 Contains.Choice.Funs: true
% 1.33/0.47 .........
% 1.33/0.47
% 1.33/0.47 ********************************
% 1.33/0.47 * All subproblems solved! *
% 1.33/0.47 ********************************
% 1.33/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:34,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:872,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.33/0.47
% 1.33/0.47 %**** Beginning of derivation protocol ****
% 1.33/0.47 % SZS output start CNFRefutation
% See solution above
% 1.33/0.47
% 1.33/0.47 %**** End of derivation protocol ****
% 1.33/0.47 %**** no. of clauses in derivation: 550 ****
% 1.33/0.47 %**** clause counter: 872 ****
% 1.33/0.47
% 1.33/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:34,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:872,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------