%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP074^1 : 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 : n020.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 10:24:00 AM UTC 2026
% Result : Theorem 1.07s 0.42s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 30
% Syntax : Number of formulae : 360 ( 172 unt; 0 typ; 0 def)
% Number of atoms : 2249 (1539 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 2803 ( 737 ~; 594 |; 9 &;1445 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 6 con; 0-2 aty)
% Number of variables : 900 ( 22 ^; 878 !; 0 ?; 900 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_hF_Mirabelle_hf,type,
hF_Mirabelle_hf: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_set_HF_Mirabelle_hf,type,
set_HF_Mirabelle_hf: $tType ).
thf(tp_collec2046588256lle_hf,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(tp_hF_Mir1248913145eplace,type,
hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_hF_Mir818139703ollect,type,
hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_Abs_hf,type,
hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_HF,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_HInter,type,
hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_HUnion,type,
hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_RepFun,type,
hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_Replace,type,
hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hfset,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hfst,type,
hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hinsert,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hmem,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(tp_hF_Mirabelle_hpair,type,
hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hsnd,type,
hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_inf_in956532509lle_hf,type,
inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_inf_inf_nat,type,
inf_inf_nat: nat > nat > nat ).
thf(tp_member1367349282lle_hf,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(tp_minus_1232880740lle_hf,type,
minus_1232880740lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_minus_minus_nat,type,
minus_minus_nat: nat > nat > nat ).
thf(tp_ord_le976219883lle_hf,type,
ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_sK1_SY53,type,
sK1_SY53: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK2_SY58,type,
sK2_SY58: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK3_SY82,type,
sK3_SY82: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_semiri1382578993at_nat,type,
semiri1382578993at_nat: nat > nat ).
thf(tp_sup_su638957495lle_hf,type,
sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sup_sup_nat,type,
sup_sup_nat: nat > nat > nat ).
thf(tp_x,type,
x: hF_Mirabelle_hf ).
thf(tp_y,type,
y: hF_Mirabelle_hf ).
thf(tp_zero_z189798548lle_hf,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(24,axiom,
! [X: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ zero_z189798548lle_hf @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_319_HF__Mirabelle__glliljednj_Ozero__le) ).
thf(158,axiom,
! [U: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ U @ zero_z189798548lle_hf )
= ( U = zero_z189798548lle_hf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_less__eq__hempty) ).
thf(273,axiom,
! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_hmem__hempty) ).
thf(274,axiom,
! [Z: hF_Mirabelle_hf] :
( ( Z = zero_z189798548lle_hf )
= ( ! [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_hempty__iff) ).
thf(275,axiom,
! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_hemptyE) ).
thf(293,axiom,
! [X: hF_Mirabelle_hf] :
( ( minus_1232880740lle_hf @ zero_z189798548lle_hf @ X )
= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_zero__hdiff) ).
thf(294,axiom,
! [X: hF_Mirabelle_hf] :
( ( minus_1232880740lle_hf @ X @ zero_z189798548lle_hf )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_hdiff__zero) ).
thf(296,axiom,
! [A4: hF_Mirabelle_hf] :
( ( inf_in956532509lle_hf @ A4 @ zero_z189798548lle_hf )
= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_hinter__hempty__right) ).
thf(297,axiom,
! [A4: hF_Mirabelle_hf] :
( ( inf_in956532509lle_hf @ zero_z189798548lle_hf @ A4 )
= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_hinter__hempty__left) ).
thf(303,axiom,
! [A4: hF_Mirabelle_hf] :
( ( sup_su638957495lle_hf @ A4 @ zero_z189798548lle_hf )
= A4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_hunion__hempty__right) ).
thf(304,axiom,
! [A4: hF_Mirabelle_hf] :
( ( sup_su638957495lle_hf @ zero_z189798548lle_hf @ A4 )
= A4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_hunion__hempty__left) ).
thf(323,axiom,
! [P: hF_Mirabelle_hf > $o,X: hF_Mirabelle_hf] :
( ( P @ zero_z189798548lle_hf )
=> ( ! [X2: hF_Mirabelle_hf] :
( ( P @ X2 )
=> ! [Y2: hF_Mirabelle_hf] :
( ( P @ Y2 )
=> ( P @ ( hF_Mirabelle_hinsert @ Y2 @ X2 ) ) ) )
=> ( P @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_hf__induct__ax) ).
thf(324,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf,D: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ A @ ( hF_Mirabelle_hinsert @ B @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ C @ ( hF_Mirabelle_hinsert @ D @ zero_z189798548lle_hf ) ) )
= ( ( ( A = C )
& ( B = D ) )
| ( ( A = D )
& ( B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_HF__Mirabelle__glliljednj_Odoubleton__eq__iff) ).
thf(325,axiom,
! [A: hF_Mirabelle_hf,A4: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ A @ A4 )
!= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_hinsert__nonempty) ).
thf(328,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ A @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ B @ zero_z189798548lle_hf ) )
= ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_singleton__eq__iff) ).
thf(329,axiom,
( hF_Mirabelle_hpair
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ A3 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ B3 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_hpair__def_H) ).
thf(330,axiom,
( hF_Mirabelle_hpair
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ B3 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_hpair__def) ).
thf(331,axiom,
! [F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_RepFun @ zero_z189798548lle_hf @ F )
= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_RepFun__0) ).
thf(333,axiom,
! [X: hF_Mirabelle_hf] :
( ( zero_z189798548lle_hf = X )
= ( X = zero_z189798548lle_hf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_zero__reorient) ).
thf(334,axiom,
( ( hF_Mirabelle_HUnion @ zero_z189798548lle_hf )
= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_HUnion__hempty) ).
thf(335,axiom,
! [R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_Replace @ zero_z189798548lle_hf @ R )
= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_Replace__0) ).
thf(336,axiom,
! [P: hF_Mirabelle_hf > $o] :
( ( hF_Mir818139703ollect @ P @ zero_z189798548lle_hf )
= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_HCollect__hempty) ).
thf(337,axiom,
( ( hF_Mirabelle_HInter @ zero_z189798548lle_hf )
= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_HInter__hempty) ).
thf(338,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hsnd @ ( hF_Mirabelle_hpair @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_hsnd__conv) ).
thf(339,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hfst @ ( hF_Mirabelle_hpair @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_hfst__conv) ).
thf(340,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ A @ B )
!= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_hpair__neq__snd) ).
thf(341,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ A @ B )
!= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_hpair__neq__fst) ).
thf(342,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ A @ B )
= ( hF_Mirabelle_hpair @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_hpair__inject) ).
thf(343,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ A @ B )
= ( hF_Mirabelle_hpair @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_hpair__iff) ).
thf(344,conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(345,negated_conjecture,
( ( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf )
= $false ),
inference(negate_conjecture,[status(cth)],[344]) ).
thf(346,plain,
( ( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf )
= $false ),
inference(unfold_def,[status(thm)],[345]) ).
thf(347,plain,
( ( ! [X: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ zero_z189798548lle_hf @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(348,plain,
( ( ! [U: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ U @ zero_z189798548lle_hf )
= ( U = zero_z189798548lle_hf ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(349,plain,
( ( ! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(350,plain,
( ( ! [Z: hF_Mirabelle_hf] :
( ( Z = zero_z189798548lle_hf )
= ( ! [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(351,plain,
( ( ! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(352,plain,
( ( ! [X: hF_Mirabelle_hf] :
( ( minus_1232880740lle_hf @ zero_z189798548lle_hf @ X )
= zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(353,plain,
( ( ! [X: hF_Mirabelle_hf] :
( ( minus_1232880740lle_hf @ X @ zero_z189798548lle_hf )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(354,plain,
( ( ! [A4: hF_Mirabelle_hf] :
( ( inf_in956532509lle_hf @ A4 @ zero_z189798548lle_hf )
= zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(355,plain,
( ( ! [A4: hF_Mirabelle_hf] :
( ( inf_in956532509lle_hf @ zero_z189798548lle_hf @ A4 )
= zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(356,plain,
( ( ! [A4: hF_Mirabelle_hf] :
( ( sup_su638957495lle_hf @ A4 @ zero_z189798548lle_hf )
= A4 ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(357,plain,
( ( ! [A4: hF_Mirabelle_hf] :
( ( sup_su638957495lle_hf @ zero_z189798548lle_hf @ A4 )
= A4 ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(358,plain,
( ( ! [P: hF_Mirabelle_hf > $o,X: hF_Mirabelle_hf] :
( ( P @ zero_z189798548lle_hf )
=> ( ! [X2: hF_Mirabelle_hf] :
( ( P @ X2 )
=> ! [Y2: hF_Mirabelle_hf] :
( ( P @ Y2 )
=> ( P @ ( hF_Mirabelle_hinsert @ Y2 @ X2 ) ) ) )
=> ( P @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(359,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf,D: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ A @ ( hF_Mirabelle_hinsert @ B @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ C @ ( hF_Mirabelle_hinsert @ D @ zero_z189798548lle_hf ) ) )
= ( ( ( A = C )
& ( B = D ) )
| ( ( A = D )
& ( B = C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(360,plain,
( ( ! [A: hF_Mirabelle_hf,A4: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ A @ A4 )
!= zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(361,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ A @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ B @ zero_z189798548lle_hf ) )
= ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(362,plain,
( ( hF_Mirabelle_hpair
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ A3 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ B3 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(363,plain,
( ( hF_Mirabelle_hpair
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ B3 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(364,plain,
( ( ! [F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_RepFun @ zero_z189798548lle_hf @ F )
= zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(365,plain,
( ( ! [X: hF_Mirabelle_hf] :
( ( zero_z189798548lle_hf = X )
= ( X = zero_z189798548lle_hf ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(366,plain,
( ( ( hF_Mirabelle_HUnion @ zero_z189798548lle_hf )
= zero_z189798548lle_hf )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(367,plain,
( ( ! [R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_Replace @ zero_z189798548lle_hf @ R )
= zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(368,plain,
( ( ! [P: hF_Mirabelle_hf > $o] :
( ( hF_Mir818139703ollect @ P @ zero_z189798548lle_hf )
= zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(369,plain,
( ( ( hF_Mirabelle_HInter @ zero_z189798548lle_hf )
= zero_z189798548lle_hf )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(370,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hsnd @ ( hF_Mirabelle_hpair @ A @ B ) )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(371,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hfst @ ( hF_Mirabelle_hpair @ A @ B ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(372,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ A @ B )
!= B ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(373,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ A @ B )
!= A ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(374,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ A @ B )
= ( hF_Mirabelle_hpair @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(375,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ A @ B )
= ( hF_Mirabelle_hpair @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(376,plain,
( ( ~ ( ( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[346]) ).
thf(377,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ A @ B )
= ( hF_Mirabelle_hpair @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(378,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ A @ B )
= ( hF_Mirabelle_hpair @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(379,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ A @ B )
!= A ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(380,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ A @ B )
!= B ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(381,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hfst @ ( hF_Mirabelle_hpair @ A @ B ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(382,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hsnd @ ( hF_Mirabelle_hpair @ A @ B ) )
= B ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(383,plain,
( ( ( hF_Mirabelle_HInter @ zero_z189798548lle_hf )
= zero_z189798548lle_hf )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(384,plain,
( ( ! [P: hF_Mirabelle_hf > $o] :
( ( hF_Mir818139703ollect @ P @ zero_z189798548lle_hf )
= zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(385,plain,
( ( ! [R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_Replace @ zero_z189798548lle_hf @ R )
= zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(386,plain,
( ( ( hF_Mirabelle_HUnion @ zero_z189798548lle_hf )
= zero_z189798548lle_hf )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(387,plain,
( ( ! [X: hF_Mirabelle_hf] :
( ( zero_z189798548lle_hf = X )
= ( X = zero_z189798548lle_hf ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(388,plain,
( ( ! [F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_RepFun @ zero_z189798548lle_hf @ F )
= zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(389,plain,
( ( hF_Mirabelle_hpair
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ B3 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(390,plain,
( ( hF_Mirabelle_hpair
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ A3 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ B3 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(391,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ A @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ B @ zero_z189798548lle_hf ) )
= ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(392,plain,
( ( ! [A: hF_Mirabelle_hf,A4: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ A @ A4 )
!= zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(393,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf,D: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ A @ ( hF_Mirabelle_hinsert @ B @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ C @ ( hF_Mirabelle_hinsert @ D @ zero_z189798548lle_hf ) ) )
= ( ( ( A = C )
& ( B = D ) )
| ( ( A = D )
& ( B = C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(394,plain,
( ( ! [P: hF_Mirabelle_hf > $o,X: hF_Mirabelle_hf] :
( ( P @ zero_z189798548lle_hf )
=> ( ! [X2: hF_Mirabelle_hf] :
( ( P @ X2 )
=> ! [Y2: hF_Mirabelle_hf] :
( ( P @ Y2 )
=> ( P @ ( hF_Mirabelle_hinsert @ Y2 @ X2 ) ) ) )
=> ( P @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(395,plain,
( ( ! [A4: hF_Mirabelle_hf] :
( ( sup_su638957495lle_hf @ zero_z189798548lle_hf @ A4 )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(396,plain,
( ( ! [A4: hF_Mirabelle_hf] :
( ( sup_su638957495lle_hf @ A4 @ zero_z189798548lle_hf )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(397,plain,
( ( ! [A4: hF_Mirabelle_hf] :
( ( inf_in956532509lle_hf @ zero_z189798548lle_hf @ A4 )
= zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(398,plain,
( ( ! [A4: hF_Mirabelle_hf] :
( ( inf_in956532509lle_hf @ A4 @ zero_z189798548lle_hf )
= zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(399,plain,
( ( ! [X: hF_Mirabelle_hf] :
( ( minus_1232880740lle_hf @ X @ zero_z189798548lle_hf )
= X ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(400,plain,
( ( ! [X: hF_Mirabelle_hf] :
( ( minus_1232880740lle_hf @ zero_z189798548lle_hf @ X )
= zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(401,plain,
( ( ! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(402,plain,
( ( ! [Z: hF_Mirabelle_hf] :
( ( Z = zero_z189798548lle_hf )
= ( ! [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(403,plain,
( ( ! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(404,plain,
( ( ! [U: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ U @ zero_z189798548lle_hf )
= ( U = zero_z189798548lle_hf ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(405,plain,
( ( ! [X: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ zero_z189798548lle_hf @ X ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(406,plain,
( ( ~ ( ( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(407,plain,
( ( ~ ( ( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(408,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ SX0 @ ( hF_Mirabelle_hinsert @ SX1 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SX2 @ ( hF_Mirabelle_hinsert @ SX3 @ zero_z189798548lle_hf ) ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ~ ( ( SX0 != SX3 )
| ( SX1 != SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(409,plain,
( ( ! [SX0: hF_Mirabelle_hf > $o,SX1: hF_Mirabelle_hf] :
( ~ ( SX0 @ zero_z189798548lle_hf )
| ~ ! [SX2: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX2 )
| ! [SX3: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX3 )
| ( SX0 @ ( hF_Mirabelle_hinsert @ SX3 @ SX2 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(410,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ SX0 @ SX1 )
!= SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[379]) ).
thf(411,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SX0 @ SX1 )
!= ( hF_Mirabelle_hpair @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(412,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ SX0 @ SX1 )
!= SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(413,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ SX0 @ SX1 )
!= zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(414,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SX0 @ SX1 )
= ( hF_Mirabelle_hpair @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(415,plain,
! [SV1: hF_Mirabelle_hf] :
( ( ! [SY48: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hfst @ ( hF_Mirabelle_hpair @ SV1 @ SY48 ) )
= SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(416,plain,
! [SV2: hF_Mirabelle_hf] :
( ( ! [SY49: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hsnd @ ( hF_Mirabelle_hpair @ SV2 @ SY49 ) )
= SY49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(417,plain,
! [SV3: hF_Mirabelle_hf > $o] :
( ( ( hF_Mir818139703ollect @ SV3 @ zero_z189798548lle_hf )
= zero_z189798548lle_hf )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(418,plain,
! [SV4: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( hF_Mirabelle_Replace @ zero_z189798548lle_hf @ SV4 )
= zero_z189798548lle_hf )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(419,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( zero_z189798548lle_hf = SV5 )
= ( SV5 = zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(420,plain,
! [SV6: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_RepFun @ zero_z189798548lle_hf @ SV6 )
= zero_z189798548lle_hf )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(421,plain,
( ( ! [SV7: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ SV7 )
= ( ^ [SY50: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV7 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV7 @ ( hF_Mirabelle_hinsert @ SY50 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[389]) ).
thf(422,plain,
( ( hF_Mirabelle_hpair
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ B3 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[389]) ).
thf(423,plain,
( ( ! [SV8: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ SV8 )
= ( ^ [SY51: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV8 @ ( hF_Mirabelle_hinsert @ SV8 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV8 @ ( hF_Mirabelle_hinsert @ SY51 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[390]) ).
thf(424,plain,
( ( hF_Mirabelle_hpair
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ A3 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ A3 @ ( hF_Mirabelle_hinsert @ B3 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[390]) ).
thf(425,plain,
! [SV9: hF_Mirabelle_hf] :
( ( ! [SY52: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SY52 @ zero_z189798548lle_hf ) )
= ( SV9 = SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(426,plain,
! [SV10: hF_Mirabelle_hf] :
( ( ( sup_su638957495lle_hf @ zero_z189798548lle_hf @ SV10 )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(427,plain,
! [SV11: hF_Mirabelle_hf] :
( ( ( sup_su638957495lle_hf @ SV11 @ zero_z189798548lle_hf )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(428,plain,
! [SV12: hF_Mirabelle_hf] :
( ( ( inf_in956532509lle_hf @ zero_z189798548lle_hf @ SV12 )
= zero_z189798548lle_hf )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(429,plain,
! [SV13: hF_Mirabelle_hf] :
( ( ( inf_in956532509lle_hf @ SV13 @ zero_z189798548lle_hf )
= zero_z189798548lle_hf )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(430,plain,
! [SV14: hF_Mirabelle_hf] :
( ( ( minus_1232880740lle_hf @ SV14 @ zero_z189798548lle_hf )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(431,plain,
! [SV15: hF_Mirabelle_hf] :
( ( ( minus_1232880740lle_hf @ zero_z189798548lle_hf @ SV15 )
= zero_z189798548lle_hf )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(432,plain,
! [SV16: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV16 @ zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(433,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( SV17 = zero_z189798548lle_hf )
= ( ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(434,plain,
! [SV18: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV18 @ zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(435,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= ( SV19 = zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(436,plain,
! [SV20: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ zero_z189798548lle_hf @ SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(437,plain,
( ( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf )
= $false ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(438,plain,
! [SV21: hF_Mirabelle_hf] :
( ( ! [SY54: hF_Mirabelle_hf,SY55: hF_Mirabelle_hf,SY56: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SY54 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SY55 @ ( hF_Mirabelle_hinsert @ SY56 @ zero_z189798548lle_hf ) ) )
= ( ~ ( ( SV21 != SY55 )
| ( SY54 != SY56 ) )
| ~ ( ( SV21 != SY56 )
| ( SY54 != SY55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(439,plain,
! [SV22: hF_Mirabelle_hf > $o] :
( ( ! [SY57: hF_Mirabelle_hf] :
( ~ ( SV22 @ zero_z189798548lle_hf )
| ~ ! [SY58: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY58 )
| ! [SY59: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY59 )
| ( SV22 @ ( hF_Mirabelle_hinsert @ SY59 @ SY58 ) ) ) )
| ( SV22 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(440,plain,
! [SV23: hF_Mirabelle_hf] :
( ( ! [SY60: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ SV23 @ SY60 )
!= SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(441,plain,
! [SV24: hF_Mirabelle_hf] :
( ( ! [SY61: hF_Mirabelle_hf,SY62: hF_Mirabelle_hf,SY63: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV24 @ SY61 )
!= ( hF_Mirabelle_hpair @ SY62 @ SY63 ) )
| ~ ( ( SV24 != SY62 )
| ( SY61 != SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(442,plain,
! [SV25: hF_Mirabelle_hf] :
( ( ! [SY64: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ SV25 @ SY64 )
!= SY64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(443,plain,
! [SV26: hF_Mirabelle_hf] :
( ( ! [SY65: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ SV26 @ SY65 )
!= zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(444,plain,
! [SV27: hF_Mirabelle_hf] :
( ( ! [SY66: hF_Mirabelle_hf,SY67: hF_Mirabelle_hf,SY68: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV27 @ SY66 )
= ( hF_Mirabelle_hpair @ SY67 @ SY68 ) )
= ( ~ ( ( SV27 != SY67 )
| ( SY66 != SY68 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(445,plain,
! [SV28: hF_Mirabelle_hf,SV1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hfst @ ( hF_Mirabelle_hpair @ SV1 @ SV28 ) )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(446,plain,
! [SV29: hF_Mirabelle_hf,SV2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hsnd @ ( hF_Mirabelle_hpair @ SV2 @ SV29 ) )
= SV29 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(447,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ~ ( ( zero_z189798548lle_hf = SV5 )
| ( SV5 = zero_z189798548lle_hf ) )
| ~ ( ( zero_z189798548lle_hf != SV5 )
| ( SV5 != zero_z189798548lle_hf ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[419]) ).
thf(448,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( zero_z189798548lle_hf = SV5 )
= ( SV5 = zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[419]) ).
thf(449,plain,
! [SV30: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV30 )
= ( ^ [SY69: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV30 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV30 @ ( hF_Mirabelle_hinsert @ SY69 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(450,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV31 )
= ( ^ [SY70: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV31 @ ( hF_Mirabelle_hinsert @ SV31 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV31 @ ( hF_Mirabelle_hinsert @ SY70 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(451,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= ( SV9 = SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(452,plain,
! [SV16: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV16 @ zero_z189798548lle_hf )
= $false ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(453,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ~ ( ( SV17 = zero_z189798548lle_hf )
| ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
| ~ ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[433]) ).
thf(454,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( SV17 = zero_z189798548lle_hf )
= ( ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[433]) ).
thf(455,plain,
! [SV18: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV18 @ zero_z189798548lle_hf )
= $false ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(456,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 = zero_z189798548lle_hf ) )
| ~ ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 != zero_z189798548lle_hf ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[435]) ).
thf(457,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= ( SV19 = zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[435]) ).
thf(458,plain,
( ( ( hF_Mirabelle_hpair @ x @ y )
= zero_z189798548lle_hf )
= $true ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(459,plain,
! [SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ! [SY71: hF_Mirabelle_hf,SY72: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SY71 @ ( hF_Mirabelle_hinsert @ SY72 @ zero_z189798548lle_hf ) ) )
= ( ~ ( ( SV21 != SY71 )
| ( SV33 != SY72 ) )
| ~ ( ( SV21 != SY72 )
| ( SV33 != SY71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(460,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ~ ( SV22 @ zero_z189798548lle_hf )
| ~ ! [SY58: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY58 )
| ! [SY59: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY59 )
| ( SV22 @ ( hF_Mirabelle_hinsert @ SY59 @ SY58 ) ) ) )
| ( SV22 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(461,plain,
! [SV35: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV23 @ SV35 )
!= SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(462,plain,
! [SV36: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ! [SY75: hF_Mirabelle_hf,SY76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
!= ( hF_Mirabelle_hpair @ SY75 @ SY76 ) )
| ~ ( ( SV24 != SY75 )
| ( SV36 != SY76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(463,plain,
! [SV37: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV25 @ SV37 )
!= SV37 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(464,plain,
! [SV38: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ SV26 @ SV38 )
!= zero_z189798548lle_hf )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(465,plain,
! [SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ! [SY77: hF_Mirabelle_hf,SY78: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SY77 @ SY78 ) )
= ( ~ ( ( SV27 != SY77 )
| ( SV39 != SY78 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(466,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( ~ ( ( zero_z189798548lle_hf = SV5 )
| ( SV5 = zero_z189798548lle_hf ) ) )
= $true )
| ( ( ~ ( ( zero_z189798548lle_hf != SV5 )
| ( SV5 != zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(467,plain,
! [SV30: hF_Mirabelle_hf] :
( ( ! [SV40: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ SV30 @ SV40 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV30 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV30 @ ( hF_Mirabelle_hinsert @ SV40 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[449]) ).
thf(468,plain,
! [SV30: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV30 )
= ( ^ [SY69: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV30 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV30 @ ( hF_Mirabelle_hinsert @ SY69 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[449]) ).
thf(469,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ! [SV41: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ SV31 @ SV41 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV31 @ ( hF_Mirabelle_hinsert @ SV31 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV31 @ ( hF_Mirabelle_hinsert @ SV41 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[450]) ).
thf(470,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV31 )
= ( ^ [SY70: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV31 @ ( hF_Mirabelle_hinsert @ SV31 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV31 @ ( hF_Mirabelle_hinsert @ SY70 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[450]) ).
thf(471,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 = SV32 ) )
| ~ ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 != SV32 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[451]) ).
thf(472,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= ( SV9 = SV32 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[451]) ).
thf(473,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV17 = zero_z189798548lle_hf )
| ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true )
| ( ( ~ ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(474,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 = zero_z189798548lle_hf ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 != zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(475,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ! [SY79: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SY79 @ zero_z189798548lle_hf ) ) )
= ( ~ ( ( SV21 != SV42 )
| ( SV33 != SY79 ) )
| ~ ( ( SV21 != SY79 )
| ( SV33 != SV42 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(476,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV22 @ zero_z189798548lle_hf ) )
= $true )
| ( ( ~ ! [SY58: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY58 )
| ! [SY59: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY59 )
| ( SV22 @ ( hF_Mirabelle_hinsert @ SY59 @ SY58 ) ) ) )
| ( SV22 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(477,plain,
! [SV35: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV23 @ SV35 )
= SV23 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(478,plain,
! [SV43: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ! [SY80: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
!= ( hF_Mirabelle_hpair @ SV43 @ SY80 ) )
| ~ ( ( SV24 != SV43 )
| ( SV36 != SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(479,plain,
! [SV37: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV25 @ SV37 )
= SV37 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(480,plain,
! [SV38: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hinsert @ SV26 @ SV38 )
= zero_z189798548lle_hf )
= $false ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(481,plain,
! [SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ! [SY81: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SY81 ) )
= ( ~ ( ( SV27 != SV44 )
| ( SV39 != SY81 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(482,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( ( zero_z189798548lle_hf = SV5 )
| ( SV5 = zero_z189798548lle_hf ) )
= $false )
| ( ( ~ ( ( zero_z189798548lle_hf != SV5 )
| ( SV5 != zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(483,plain,
! [SV45: hF_Mirabelle_hf,SV30: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV30 @ SV45 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV30 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV30 @ ( hF_Mirabelle_hinsert @ SV45 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(484,plain,
! [SV46: hF_Mirabelle_hf,SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hpair @ SV31 @ SV46 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV31 @ ( hF_Mirabelle_hinsert @ SV31 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ SV31 @ ( hF_Mirabelle_hinsert @ SV46 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(485,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 = SV32 ) ) )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 != SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(486,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ( SV17 = zero_z189798548lle_hf )
| ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
= $false )
| ( ( ~ ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(487,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 = zero_z189798548lle_hf ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 != zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(488,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(489,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( SV22 @ zero_z189798548lle_hf )
= $false )
| ( ( ~ ! [SY58: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY58 )
| ! [SY59: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY59 )
| ( SV22 @ ( hF_Mirabelle_hinsert @ SY59 @ SY58 ) ) ) )
| ( SV22 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(490,plain,
! [SV48: hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
!= ( hF_Mirabelle_hpair @ SV43 @ SV48 ) )
| ~ ( ( SV24 != SV43 )
| ( SV36 != SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(491,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= ( ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(492,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( zero_z189798548lle_hf = SV5 )
= $false )
| ( ( ~ ( ( zero_z189798548lle_hf != SV5 )
| ( SV5 != zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(493,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( SV5 = zero_z189798548lle_hf )
= $false )
| ( ( ~ ( ( zero_z189798548lle_hf != SV5 )
| ( SV5 != zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(494,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 = SV32 ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 != SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(495,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( SV17 = zero_z189798548lle_hf )
= $false )
| ( ( ~ ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(496,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
= $false )
| ( ( ~ ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(497,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 != zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(498,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( SV19 = zero_z189798548lle_hf )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 != zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(499,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
| ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(500,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(501,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY58: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY58 )
| ! [SY59: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY59 )
| ( SV22 @ ( hF_Mirabelle_hinsert @ SY59 @ SY58 ) ) ) ) )
= $true )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(502,plain,
! [SV48: hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
!= ( hF_Mirabelle_hpair @ SV43 @ SV48 ) )
= $true )
| ( ( ~ ( ( SV24 != SV43 )
| ( SV36 != SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(503,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
| ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[491]) ).
thf(504,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= ( ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[491]) ).
thf(505,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( ( zero_z189798548lle_hf != SV5 )
| ( SV5 != zero_z189798548lle_hf ) )
= $false )
| ( ( zero_z189798548lle_hf = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(506,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( ( zero_z189798548lle_hf != SV5 )
| ( SV5 != zero_z189798548lle_hf ) )
= $false )
| ( ( SV5 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(507,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 != SV32 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(508,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( SV9 = SV32 )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 != SV32 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(509,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
= $false )
| ( ( SV17 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(510,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 ) )
= $false )
| ( ( ~ ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[496]) ).
thf(511,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 != zero_z189798548lle_hf ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(512,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
| ( SV19 != zero_z189798548lle_hf ) )
= $false )
| ( ( SV19 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(513,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(514,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( ! [SY58: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY58 )
| ! [SY59: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY59 )
| ( SV22 @ ( hF_Mirabelle_hinsert @ SY59 @ SY58 ) ) ) ) )
= $false )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(515,plain,
! [SV48: hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
= ( hF_Mirabelle_hpair @ SV43 @ SV48 ) )
= $false )
| ( ( ~ ( ( SV24 != SV43 )
| ( SV36 != SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(516,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(517,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( zero_z189798548lle_hf != SV5 )
= $false )
| ( ( zero_z189798548lle_hf = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(518,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( SV5 != zero_z189798548lle_hf )
= $false )
| ( ( zero_z189798548lle_hf = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(519,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( zero_z189798548lle_hf != SV5 )
= $false )
| ( ( SV5 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(520,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( SV5 != zero_z189798548lle_hf )
= $false )
| ( ( SV5 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(521,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 != SV32 ) )
= $false )
| ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(522,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
| ( SV9 != SV32 ) )
= $false )
| ( ( SV9 = SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(523,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( SV17 != zero_z189798548lle_hf )
= $false )
| ( ( SV17 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(524,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
= $false )
| ( ( SV17 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(525,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 )
= $true )
| ( ( ~ ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(526,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(527,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( SV19 != zero_z189798548lle_hf )
= $false )
| ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(528,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf ) )
= $false )
| ( ( SV19 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(529,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( SV19 != zero_z189798548lle_hf )
= $false )
| ( ( SV19 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(530,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(531,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV22 @ ( sK2_SY58 @ SV34 @ SV22 ) )
| ! [SY82: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY82 )
| ( SV22 @ ( hF_Mirabelle_hinsert @ SY82 @ ( sK2_SY58 @ SV34 @ SV22 ) ) ) ) )
= $false )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[514]) ).
thf(532,plain,
! [SV48: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ( ( SV24 != SV43 )
| ( SV36 != SV48 ) )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
= ( hF_Mirabelle_hpair @ SV43 @ SV48 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(533,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(534,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( zero_z189798548lle_hf = SV5 )
= $true )
| ( ( zero_z189798548lle_hf = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(535,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( SV5 = zero_z189798548lle_hf )
= $true )
| ( ( zero_z189798548lle_hf = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(536,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( zero_z189798548lle_hf = SV5 )
= $true )
| ( ( SV5 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(537,plain,
! [SV5: hF_Mirabelle_hf] :
( ( ( SV5 = zero_z189798548lle_hf )
= $true )
| ( ( SV5 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(538,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $false )
| ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(539,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( SV9 != SV32 )
= $false )
| ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(540,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
!= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $false )
| ( ( SV9 = SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(541,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( SV9 != SV32 )
= $false )
| ( ( SV9 = SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(542,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( SV17 = zero_z189798548lle_hf )
= $true )
| ( ( SV17 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(543,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
= $true )
| ( ( SV17 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(544,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ( SV17 != zero_z189798548lle_hf )
| ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(545,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= $true )
| ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(546,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( SV19 = zero_z189798548lle_hf )
= $true )
| ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(547,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV19 @ zero_z189798548lle_hf )
= $true )
| ( ( SV19 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(548,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ( SV19 = zero_z189798548lle_hf )
= $true )
| ( ( SV19 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(549,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(550,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(551,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV22 @ ( sK2_SY58 @ SV34 @ SV22 ) ) )
= $false )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(552,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( ! [SY82: hF_Mirabelle_hf] :
( ~ ( SV22 @ SY82 )
| ( SV22 @ ( hF_Mirabelle_hinsert @ SY82 @ ( sK2_SY58 @ SV34 @ SV22 ) ) ) ) )
= $false )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(553,plain,
! [SV48: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ( SV24 != SV43 )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
= ( hF_Mirabelle_hpair @ SV43 @ SV48 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(554,plain,
! [SV43: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf,SV48: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( SV36 != SV48 )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
= ( hF_Mirabelle_hpair @ SV43 @ SV48 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(555,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(556,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(557,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(558,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( SV9 = SV32 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(559,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV9 @ zero_z189798548lle_hf )
= ( hF_Mirabelle_hinsert @ SV32 @ zero_z189798548lle_hf ) )
= $true )
| ( ( SV9 = SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(560,plain,
! [SV32: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( SV9 = SV32 )
= $true )
| ( ( SV9 = SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(561,plain,
! [SV17: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV17 ) )
= $true )
| ( ( SV17 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(562,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( SV17 != zero_z189798548lle_hf )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(563,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ~ ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(564,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(565,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(566,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(567,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( SV22 @ ( sK2_SY58 @ SV34 @ SV22 ) )
= $true )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(568,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV22 @ ( sK3_SY82 @ SV34 @ SV22 ) )
| ( SV22 @ ( hF_Mirabelle_hinsert @ ( sK3_SY82 @ SV34 @ SV22 ) @ ( sK2_SY58 @ SV34 @ SV22 ) ) ) )
= $false )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[552]) ).
thf(569,plain,
! [SV48: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ( SV24 = SV43 )
= $true )
| ( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
= ( hF_Mirabelle_hpair @ SV43 @ SV48 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(570,plain,
! [SV43: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf,SV48: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( SV36 = SV48 )
= $true )
| ( ( ( hF_Mirabelle_hpair @ SV24 @ SV36 )
= ( hF_Mirabelle_hpair @ SV43 @ SV48 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(571,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(572,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( SV27 != SV44 )
| ( SV39 != SV49 ) )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(573,plain,
! [SV17: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ SV17 )
= $false )
| ( ( SV17 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(574,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( SV17 = zero_z189798548lle_hf )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(575,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ( ! [SY53: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY53 @ SV17 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(576,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(577,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(578,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(579,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV47 )
| ( SV33 != SV42 ) )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(580,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV22 @ ( sK3_SY82 @ SV34 @ SV22 ) ) )
= $false )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(581,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( SV22 @ ( hF_Mirabelle_hinsert @ ( sK3_SY82 @ SV34 @ SV22 ) @ ( sK2_SY58 @ SV34 @ SV22 ) ) )
= $false )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(582,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(583,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(584,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( SV27 != SV44 )
= $true )
| ( ( SV39 != SV49 )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(585,plain,
! [SV17: hF_Mirabelle_hf,SV51: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV51 @ SV17 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(586,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(587,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(588,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV42 )
= $true )
| ( ( SV33 != SV47 )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(589,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV47 )
= $true )
| ( ( SV33 != SV42 )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(590,plain,
! [SV34: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf > $o] :
( ( ( SV22 @ ( sK3_SY82 @ SV34 @ SV22 ) )
= $true )
| ( ( SV22 @ SV34 )
= $true )
| ( ( SV22 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(591,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $true )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(592,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(593,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( SV27 = SV44 )
= $false )
| ( ( SV39 != SV49 )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(594,plain,
! [SV17: hF_Mirabelle_hf,SV51: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV51 @ SV17 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK1_SY53 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(595,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) ) )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(596,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV42 )
= $false )
| ( ( SV33 != SV47 )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(597,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV47 )
= $false )
| ( ( SV33 != SV42 )
= $true )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(598,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( SV27 != SV44 )
| ( SV39 != SV49 ) )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(599,plain,
! [SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ( SV39 = SV49 )
= $false )
| ( ( SV27 = SV44 )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(600,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(601,plain,
! [SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV47 )
= $false )
| ( ( SV21 = SV42 )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(602,plain,
! [SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV42 )
= $false )
| ( ( SV21 = SV47 )
= $false )
| ( ( ~ ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(603,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( SV27 != SV44 )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(604,plain,
! [SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ( SV39 != SV49 )
= $false )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(605,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
| ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
= $false )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(606,plain,
! [SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV42 )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(607,plain,
! [SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV47 )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(608,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $false )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(609,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
| ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $false )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(610,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( SV27 = SV44 )
= $true )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(611,plain,
! [SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ( SV39 = SV49 )
= $true )
| ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(612,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
!= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $false )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(613,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
= $false )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(614,plain,
! [SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV42 )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(615,plain,
! [SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV47 )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(616,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(617,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $false )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(618,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
!= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(619,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) ) )
= $false )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(620,plain,
! [SV49: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ SV27 @ SV39 )
= ( hF_Mirabelle_hpair @ SV44 @ SV49 ) )
= $true )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(621,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV27 != SV44 )
| ( SV39 != SV49 ) ) )
= $true )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(622,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV47 )
| ( SV33 != SV42 ) )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(623,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV47 )
| ( SV33 != SV42 ) )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(624,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(625,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(626,plain,
! [SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(627,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
| ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(628,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ( SV27 != SV44 )
| ( SV39 != SV49 ) )
= $false )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(629,plain,
! [SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV47 )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(630,plain,
! [SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV42 )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(631,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV47 )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(632,plain,
! [SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV42 )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(633,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) ) )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(634,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV21 != SV42 )
| ( SV33 != SV47 ) ) )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(635,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( SV27 != SV44 )
= $false )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(636,plain,
! [SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ( SV39 != SV49 )
= $false )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(637,plain,
! [SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV47 )
= $true )
| ( ( SV21 = SV42 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(638,plain,
! [SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV42 )
= $true )
| ( ( SV21 = SV42 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(639,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV47 )
= $true )
| ( ( SV33 = SV47 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(640,plain,
! [SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV42 )
= $true )
| ( ( SV33 = SV47 )
= $true )
| ( ( ( hF_Mirabelle_hinsert @ SV21 @ ( hF_Mirabelle_hinsert @ SV33 @ zero_z189798548lle_hf ) )
= ( hF_Mirabelle_hinsert @ SV42 @ ( hF_Mirabelle_hinsert @ SV47 @ zero_z189798548lle_hf ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(641,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(642,plain,
! [SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV42 )
| ( SV33 != SV47 ) )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(643,plain,
! [SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( SV27 = SV44 )
= $true )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(644,plain,
! [SV44: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ( SV39 = SV49 )
= $true )
| ( ( SV27 = SV44 )
= $false )
| ( ( SV39 = SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(645,plain,
! [SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV42 )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(646,plain,
! [SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV47 )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(647,plain,
! [SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV42 )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(648,plain,
! [SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV47 )
= $false )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(649,plain,
! [SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV42 )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(650,plain,
! [SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV47 )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(651,plain,
! [SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV42 )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(652,plain,
! [SV42: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV47 )
= $true )
| ( ( ~ ( ( SV21 != SV47 )
| ( SV33 != SV42 ) ) )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(653,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV47 )
| ( SV33 != SV42 ) )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(654,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV47 )
| ( SV33 != SV42 ) )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(655,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV47 )
| ( SV33 != SV42 ) )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(656,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ( SV21 != SV47 )
| ( SV33 != SV42 ) )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(657,plain,
! [SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV47 )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(658,plain,
! [SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV42 )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(659,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV47 )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(660,plain,
! [SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV42 )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(661,plain,
! [SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV47 )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(662,plain,
! [SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV42 )
= $false )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(663,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 != SV47 )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(664,plain,
! [SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 != SV42 )
= $false )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(665,plain,
! [SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV47 )
= $true )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(666,plain,
! [SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV42 )
= $true )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(667,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV47 )
= $true )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(668,plain,
! [SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV42 )
= $true )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV42 )
= $false )
| ( ( SV33 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(669,plain,
! [SV33: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV47 )
= $true )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(670,plain,
! [SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV42 )
= $true )
| ( ( SV21 = SV42 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(671,plain,
! [SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( SV21 = SV47 )
= $true )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(672,plain,
! [SV21: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( SV33 = SV42 )
= $true )
| ( ( SV33 = SV47 )
= $true )
| ( ( SV21 = SV47 )
= $false )
| ( ( SV33 = SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(673,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[383,672,671,670,669,668,667,666,665,644,643,640,639,638,637,626,624,620,611,610,594,591,590,586,581,574,573,570,569,567,560,559,558,557,548,547,546,545,542,537,536,535,534,504,500,484,483,480,479,477,472,470,468,458,457,455,454,452,448,446,445,436,431,430,429,428,427,426,424,422,420,418,417,386]) ).
thf(674,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP074^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.19 % Computer : n020.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Oct 6 11:16:21 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/0.42 ..
% 1.07/0.42
% 1.07/0.42 No.of.Axioms: 29
% 1.07/0.42
% 1.07/0.42 Length.of.Defs: 0
% 1.07/0.42
% 1.07/0.42 Contains.Choice.Funs: false
% 1.07/0.42 ..........
% 1.07/0.42
% 1.07/0.42 ********************************
% 1.07/0.42 * All subproblems solved! *
% 1.07/0.42 ********************************
% 1.07/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:29,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:673,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.07/0.42
% 1.07/0.42 %**** Beginning of derivation protocol ****
% 1.07/0.42 % SZS output start CNFRefutation
% See solution above
% 1.07/0.42
% 1.07/0.42 %**** End of derivation protocol ****
% 1.07/0.42 %**** no. of clauses in derivation: 360 ****
% 1.07/0.42 %**** clause counter: 673 ****
% 1.07/0.42
% 1.07/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:29,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:673,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------