%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP056^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 10:23:52 AM UTC 2026
% Result : Theorem 4.81s 1.08s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 39
% Syntax : Number of formulae : 520 ( 221 unt; 0 typ; 0 def)
% Number of atoms : 3456 (1731 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 7167 (1167 ~; 997 |; 6 &;4913 @)
% ( 0 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 251 ( 251 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 1594 ( 26 ^;1559 !; 9 ?;1594 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_config256849571t_unit,type,
config256849571t_unit: $tType ).
thf(tp_list_c1059388851t_unit,type,
list_c1059388851t_unit: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_fe,type,
fe: nat > list_c1059388851t_unit ).
thf(tp_last_c571238084t_unit,type,
last_c571238084t_unit: list_c1059388851t_unit > config256849571t_unit ).
thf(tp_minus_minus_nat,type,
minus_minus_nat: nat > nat > nat ).
thf(tp_n,type,
n: nat ).
thf(tp_n0,type,
n0: nat ).
thf(tp_nil_co1338500125t_unit,type,
nil_co1338500125t_unit: list_c1059388851t_unit ).
thf(tp_nth_co1649820636t_unit,type,
nth_co1649820636t_unit: list_c1059388851t_unit > nat > config256849571t_unit ).
thf(tp_one_one_nat,type,
one_one_nat: nat ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(tp_prefix1615116500t_unit,type,
prefix1615116500t_unit: list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(tp_sK10_SY180,type,
sK10_SY180: config256849571t_unit > nat > nat > ( nat > config256849571t_unit > $o ) > config256849571t_unit ).
thf(tp_sK11_SY159,type,
sK11_SY159: list_c1059388851t_unit > ( nat > config256849571t_unit > $o ) > nat > list_c1059388851t_unit ).
thf(tp_sK12_SY159,type,
sK12_SY159: list_c1059388851t_unit > ( nat > config256849571t_unit > $o ) > nat > list_c1059388851t_unit ).
thf(tp_sK13_SY182,type,
sK13_SY182: list_c1059388851t_unit > nat > nat > ( nat > config256849571t_unit > $o ) > config256849571t_unit ).
thf(tp_sK14_SY183,type,
sK14_SY183: list_c1059388851t_unit > nat > nat > ( nat > config256849571t_unit > $o ) > config256849571t_unit ).
thf(tp_sK1_SY111,type,
sK1_SY111: nat > list_c1059388851t_unit ).
thf(tp_sK2_SY116,type,
sK2_SY116: list_c1059388851t_unit > ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(tp_sK3_SY157,type,
sK3_SY157: ( nat > config256849571t_unit > $o ) > nat > nat ).
thf(tp_sK4_SY172,type,
sK4_SY172: list_c1059388851t_unit > list_c1059388851t_unit > nat ).
thf(tp_sK5_SY174,type,
sK5_SY174: list_c1059388851t_unit > list_c1059388851t_unit > nat ).
thf(tp_sK6_SY159,type,
sK6_SY159: ( nat > config256849571t_unit > $o ) > nat > list_c1059388851t_unit ).
thf(tp_sK7_SY177,type,
sK7_SY177: list_c1059388851t_unit > ( nat > config256849571t_unit > $o ) > nat > nat ).
thf(tp_sK8_SY159,type,
sK8_SY159: config256849571t_unit > ( nat > config256849571t_unit > $o ) > nat > list_c1059388851t_unit ).
thf(tp_sK9_SY178,type,
sK9_SY178: nat > nat > ( nat > config256849571t_unit > $o ) > config256849571t_unit ).
thf(tp_size_s1406904903t_unit,type,
size_s1406904903t_unit: list_c1059388851t_unit > nat ).
thf(88,axiom,
! [M: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ M @ N ) @ N )
= M ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_diff__add__inverse2) ).
thf(89,axiom,
! [N: nat,M: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ N @ M ) @ N )
= M ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_diff__add__inverse) ).
thf(90,axiom,
! [M: nat,K: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ M @ K ) @ ( plus_plus_nat @ N @ K ) )
= ( minus_minus_nat @ M @ N ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_diff__cancel2) ).
thf(91,axiom,
! [K: nat,M: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ K @ M ) @ ( plus_plus_nat @ K @ N ) )
= ( minus_minus_nat @ M @ N ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_Nat_Odiff__cancel) ).
thf(111,axiom,
! [C: nat,B: nat,A: nat] :
( ( ( plus_plus_nat @ C @ B )
= A )
=> ( C
= ( minus_minus_nat @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_add__implies__diff) ).
thf(112,axiom,
! [A: nat,B: nat,C: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ A @ B ) @ C )
= ( minus_minus_nat @ A @ ( plus_plus_nat @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_diff__diff__add) ).
thf(143,axiom,
! [I: nat,J: nat,K: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ I @ J ) @ K )
= ( minus_minus_nat @ I @ ( plus_plus_nat @ J @ K ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_diff__diff__left) ).
thf(146,axiom,
! [A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ B ) @ B )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_add__diff__cancel__right_H) ).
thf(147,axiom,
! [A: nat,C: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ C ) @ ( plus_plus_nat @ B @ C ) )
= ( minus_minus_nat @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_add__diff__cancel__right) ).
thf(148,axiom,
! [A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ B ) @ A )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_add__diff__cancel__left_H) ).
thf(149,axiom,
! [C: nat,A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ C @ A ) @ ( plus_plus_nat @ C @ B ) )
= ( minus_minus_nat @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_add__diff__cancel__left) ).
thf(160,axiom,
ord_less_eq_nat @ one_one_nat @ one_one_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_le__numeral__extra_I4_J) ).
thf(161,axiom,
~ ( ord_less_nat @ one_one_nat @ one_one_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_less__numeral__extra_I4_J) ).
thf(166,axiom,
! [A: nat,C: nat,B: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ A @ C ) @ B )
= ( minus_minus_nat @ ( minus_minus_nat @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_diff__right__commute) ).
thf(167,axiom,
! [X: nat] :
( ( one_one_nat = X )
= ( X = one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_one__reorient) ).
thf(168,axiom,
! [Xs: list_c1059388851t_unit,Ys: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs )
= ( size_s1406904903t_unit @ Ys ) )
=> ( ! [I2: nat] :
( ( ord_less_nat @ I2 @ ( size_s1406904903t_unit @ Xs ) )
=> ( ( nth_co1649820636t_unit @ Xs @ I2 )
= ( nth_co1649820636t_unit @ Ys @ I2 ) ) )
=> ( Xs = Ys ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_nth__equalityI) ).
thf(169,axiom,
! [K: nat,P: nat > config256849571t_unit > $o] :
( ( ! [I3: nat] :
( ( ord_less_nat @ I3 @ K )
=> ? [X3: config256849571t_unit] : ( P @ I3 @ X3 ) ) )
= ( ? [Xs3: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs3 )
= K )
& ! [I3: nat] :
( ( ord_less_nat @ I3 @ K )
=> ( P @ I3 @ ( nth_co1649820636t_unit @ Xs3 @ I3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_Skolem__list__nth) ).
thf(170,axiom,
( ( ^ [Y4: list_c1059388851t_unit,Z: list_c1059388851t_unit] : ( Y4 = Z ) )
= ( ^ [Xs3: list_c1059388851t_unit,Ys3: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs3 )
= ( size_s1406904903t_unit @ Ys3 ) )
& ! [I3: nat] :
( ( ord_less_nat @ I3 @ ( size_s1406904903t_unit @ Xs3 ) )
=> ( ( nth_co1649820636t_unit @ Xs3 @ I3 )
= ( nth_co1649820636t_unit @ Ys3 @ I3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_list__eq__iff__nth__eq) ).
thf(171,axiom,
! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( ( minus_minus_nat @ M @ K )
= ( minus_minus_nat @ N @ K ) )
= ( M = N ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_eq__diff__iff) ).
thf(172,axiom,
! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( ord_less_eq_nat @ ( minus_minus_nat @ M @ K ) @ ( minus_minus_nat @ N @ K ) )
= ( ord_less_eq_nat @ M @ N ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_le__diff__iff) ).
thf(173,axiom,
! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( minus_minus_nat @ ( minus_minus_nat @ M @ K ) @ ( minus_minus_nat @ N @ K ) )
= ( minus_minus_nat @ M @ N ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_Nat_Odiff__diff__eq) ).
thf(174,axiom,
! [M: nat,N: nat,L: nat] :
( ( ord_less_eq_nat @ M @ N )
=> ( ord_less_eq_nat @ ( minus_minus_nat @ M @ L ) @ ( minus_minus_nat @ N @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_diff__le__mono) ).
thf(175,axiom,
! [M: nat,N: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ M @ N ) @ M ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_diff__le__self) ).
thf(176,axiom,
! [A: nat,C: nat,B: nat] :
( ( ord_less_eq_nat @ A @ C )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ( ord_less_eq_nat @ ( minus_minus_nat @ C @ A ) @ ( minus_minus_nat @ C @ B ) )
= ( ord_less_eq_nat @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_le__diff__iff_H) ).
thf(177,axiom,
! [M: nat,N: nat,L: nat] :
( ( ord_less_eq_nat @ M @ N )
=> ( ord_less_eq_nat @ ( minus_minus_nat @ L @ N ) @ ( minus_minus_nat @ L @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_diff__le__mono2) ).
thf(178,axiom,
! [M: nat,N: nat,L: nat] :
( ( ord_less_nat @ M @ N )
=> ( ( ord_less_nat @ M @ L )
=> ( ord_less_nat @ ( minus_minus_nat @ L @ N ) @ ( minus_minus_nat @ L @ M ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_diff__less__mono2) ).
thf(179,axiom,
! [J: nat,K: nat,N: nat] :
( ( ord_less_nat @ J @ K )
=> ( ord_less_nat @ ( minus_minus_nat @ J @ N ) @ K ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_less__imp__diff__less) ).
thf(180,axiom,
! [P: list_c1059388851t_unit > $o,Xs: list_c1059388851t_unit] :
( ! [Xs2: list_c1059388851t_unit] :
( ! [Ys2: list_c1059388851t_unit] :
( ( ord_less_nat @ ( size_s1406904903t_unit @ Ys2 ) @ ( size_s1406904903t_unit @ Xs2 ) )
=> ( P @ Ys2 ) )
=> ( P @ Xs2 ) )
=> ( P @ Xs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_length__induct) ).
thf(203,axiom,
! [I: nat,N: nat] :
( ( ord_less_eq_nat @ I @ N )
=> ( ( minus_minus_nat @ N @ ( minus_minus_nat @ N @ I ) )
= I ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_diff__diff__cancel) ).
thf(204,axiom,
! [X: list_c1059388851t_unit,Y: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ X )
!= ( size_s1406904903t_unit @ Y ) )
=> ( X != Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_size__neq__size__imp__neq) ).
thf(205,axiom,
! [Xs: list_c1059388851t_unit,Ys: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs )
!= ( size_s1406904903t_unit @ Ys ) )
=> ( Xs != Ys ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_neq__if__length__neq) ).
thf(206,axiom,
! [N: nat] :
? [Xs2: list_c1059388851t_unit] :
( ( size_s1406904903t_unit @ Xs2 )
= N ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_Ex__list__of__length) ).
thf(207,axiom,
! [I: nat,J: nat,K: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ I @ J ) @ K )
= ( minus_minus_nat @ ( minus_minus_nat @ I @ K ) @ J ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_diff__commute) ).
thf(208,axiom,
one_one_nat = one_one_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_one__natural_Orsp) ).
thf(210,axiom,
! [Xs: list_c1059388851t_unit] :
( ( Xs != nil_co1338500125t_unit )
=> ( ( last_c571238084t_unit @ Xs )
= ( nth_co1649820636t_unit @ Xs @ ( minus_minus_nat @ ( size_s1406904903t_unit @ Xs ) @ one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_last__conv__nth) ).
thf(212,axiom,
ord_less_nat @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) @ ( size_s1406904903t_unit @ ( fe @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Fou2) ).
thf(213,axiom,
! [L: list_c1059388851t_unit] :
( ( L != nil_co1338500125t_unit )
=> ( ( last_c571238084t_unit @ L )
= ( nth_co1649820636t_unit @ L @ ( minus_minus_nat @ ( size_s1406904903t_unit @ L ) @ one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_LastIsLastIndex) ).
thf(214,axiom,
( ( fe @ n )
!= nil_co1338500125t_unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_FeNNotEmpty) ).
thf(215,conjecture,
( ( last_c571238084t_unit @ ( fe @ n ) )
= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(216,negated_conjecture,
( ( ( last_c571238084t_unit @ ( fe @ n ) )
= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[215]) ).
thf(217,plain,
( ( ( last_c571238084t_unit @ ( fe @ n ) )
= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) )
= $false ),
inference(unfold_def,[status(thm)],[216]) ).
thf(218,plain,
( ( ! [M: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ M @ N ) @ N )
= M ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(219,plain,
( ( ! [N: nat,M: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ N @ M ) @ N )
= M ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(220,plain,
( ( ! [M: nat,K: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ M @ K ) @ ( plus_plus_nat @ N @ K ) )
= ( minus_minus_nat @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(221,plain,
( ( ! [K: nat,M: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ K @ M ) @ ( plus_plus_nat @ K @ N ) )
= ( minus_minus_nat @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(222,plain,
( ( ! [C: nat,B: nat,A: nat] :
( ( ( plus_plus_nat @ C @ B )
= A )
=> ( C
= ( minus_minus_nat @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(223,plain,
( ( ! [A: nat,B: nat,C: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ A @ B ) @ C )
= ( minus_minus_nat @ A @ ( plus_plus_nat @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(224,plain,
( ( ! [I: nat,J: nat,K: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ I @ J ) @ K )
= ( minus_minus_nat @ I @ ( plus_plus_nat @ J @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(225,plain,
( ( ! [A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ B ) @ B )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(226,plain,
( ( ! [A: nat,C: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ C ) @ ( plus_plus_nat @ B @ C ) )
= ( minus_minus_nat @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(227,plain,
( ( ! [A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ B ) @ A )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(228,plain,
( ( ! [C: nat,A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ C @ A ) @ ( plus_plus_nat @ C @ B ) )
= ( minus_minus_nat @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(229,plain,
( ( ord_less_eq_nat @ one_one_nat @ one_one_nat )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(230,plain,
( ( ~ ( ord_less_nat @ one_one_nat @ one_one_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(231,plain,
( ( ! [A: nat,C: nat,B: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ A @ C ) @ B )
= ( minus_minus_nat @ ( minus_minus_nat @ A @ B ) @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(232,plain,
( ( ! [X: nat] :
( ( one_one_nat = X )
= ( X = one_one_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(233,plain,
( ( ! [Xs: list_c1059388851t_unit,Ys: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs )
= ( size_s1406904903t_unit @ Ys ) )
=> ( ! [I2: nat] :
( ( ord_less_nat @ I2 @ ( size_s1406904903t_unit @ Xs ) )
=> ( ( nth_co1649820636t_unit @ Xs @ I2 )
= ( nth_co1649820636t_unit @ Ys @ I2 ) ) )
=> ( Xs = Ys ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(234,plain,
( ( ! [K: nat,P: nat > config256849571t_unit > $o] :
( ( ! [I3: nat] :
( ( ord_less_nat @ I3 @ K )
=> ? [X3: config256849571t_unit] : ( P @ I3 @ X3 ) ) )
= ( ? [Xs3: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs3 )
= K )
& ! [I3: nat] :
( ( ord_less_nat @ I3 @ K )
=> ( P @ I3 @ ( nth_co1649820636t_unit @ Xs3 @ I3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(235,plain,
( ( ( ^ [Y4: list_c1059388851t_unit,Z: list_c1059388851t_unit] : ( Y4 = Z ) )
= ( ^ [Xs3: list_c1059388851t_unit,Ys3: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs3 )
= ( size_s1406904903t_unit @ Ys3 ) )
& ! [I3: nat] :
( ( ord_less_nat @ I3 @ ( size_s1406904903t_unit @ Xs3 ) )
=> ( ( nth_co1649820636t_unit @ Xs3 @ I3 )
= ( nth_co1649820636t_unit @ Ys3 @ I3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(236,plain,
( ( ! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( ( minus_minus_nat @ M @ K )
= ( minus_minus_nat @ N @ K ) )
= ( M = N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(237,plain,
( ( ! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( ord_less_eq_nat @ ( minus_minus_nat @ M @ K ) @ ( minus_minus_nat @ N @ K ) )
= ( ord_less_eq_nat @ M @ N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(238,plain,
( ( ! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( minus_minus_nat @ ( minus_minus_nat @ M @ K ) @ ( minus_minus_nat @ N @ K ) )
= ( minus_minus_nat @ M @ N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(239,plain,
( ( ! [M: nat,N: nat,L: nat] :
( ( ord_less_eq_nat @ M @ N )
=> ( ord_less_eq_nat @ ( minus_minus_nat @ M @ L ) @ ( minus_minus_nat @ N @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(240,plain,
( ( ! [M: nat,N: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ M @ N ) @ M ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(241,plain,
( ( ! [A: nat,C: nat,B: nat] :
( ( ord_less_eq_nat @ A @ C )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ( ord_less_eq_nat @ ( minus_minus_nat @ C @ A ) @ ( minus_minus_nat @ C @ B ) )
= ( ord_less_eq_nat @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(242,plain,
( ( ! [M: nat,N: nat,L: nat] :
( ( ord_less_eq_nat @ M @ N )
=> ( ord_less_eq_nat @ ( minus_minus_nat @ L @ N ) @ ( minus_minus_nat @ L @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(243,plain,
( ( ! [M: nat,N: nat,L: nat] :
( ( ord_less_nat @ M @ N )
=> ( ( ord_less_nat @ M @ L )
=> ( ord_less_nat @ ( minus_minus_nat @ L @ N ) @ ( minus_minus_nat @ L @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(244,plain,
( ( ! [J: nat,K: nat,N: nat] :
( ( ord_less_nat @ J @ K )
=> ( ord_less_nat @ ( minus_minus_nat @ J @ N ) @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(245,plain,
( ( ! [P: list_c1059388851t_unit > $o,Xs: list_c1059388851t_unit] :
( ! [Xs2: list_c1059388851t_unit] :
( ! [Ys2: list_c1059388851t_unit] :
( ( ord_less_nat @ ( size_s1406904903t_unit @ Ys2 ) @ ( size_s1406904903t_unit @ Xs2 ) )
=> ( P @ Ys2 ) )
=> ( P @ Xs2 ) )
=> ( P @ Xs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(246,plain,
( ( ! [I: nat,N: nat] :
( ( ord_less_eq_nat @ I @ N )
=> ( ( minus_minus_nat @ N @ ( minus_minus_nat @ N @ I ) )
= I ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(247,plain,
( ( ! [X: list_c1059388851t_unit,Y: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ X )
!= ( size_s1406904903t_unit @ Y ) )
=> ( X != Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(248,plain,
( ( ! [Xs: list_c1059388851t_unit,Ys: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs )
!= ( size_s1406904903t_unit @ Ys ) )
=> ( Xs != Ys ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(249,plain,
( ( ! [N: nat] :
? [Xs2: list_c1059388851t_unit] :
( ( size_s1406904903t_unit @ Xs2 )
= N ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(250,plain,
( ( ! [I: nat,J: nat,K: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ I @ J ) @ K )
= ( minus_minus_nat @ ( minus_minus_nat @ I @ K ) @ J ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(251,plain,
( ( one_one_nat = one_one_nat )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(252,plain,
( ( ! [Xs: list_c1059388851t_unit] :
( ( Xs != nil_co1338500125t_unit )
=> ( ( last_c571238084t_unit @ Xs )
= ( nth_co1649820636t_unit @ Xs @ ( minus_minus_nat @ ( size_s1406904903t_unit @ Xs ) @ one_one_nat ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(253,plain,
( ( ord_less_nat @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) @ ( size_s1406904903t_unit @ ( fe @ n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(254,plain,
( ( ! [L: list_c1059388851t_unit] :
( ( L != nil_co1338500125t_unit )
=> ( ( last_c571238084t_unit @ L )
= ( nth_co1649820636t_unit @ L @ ( minus_minus_nat @ ( size_s1406904903t_unit @ L ) @ one_one_nat ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(255,plain,
( ( ( fe @ n )
!= nil_co1338500125t_unit )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(256,plain,
( ( ( last_c571238084t_unit @ ( fe @ n ) )
!= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[217]) ).
thf(257,plain,
( ( ( fe @ n )
!= nil_co1338500125t_unit )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(258,plain,
( ( ! [L: list_c1059388851t_unit] :
( ( L != nil_co1338500125t_unit )
=> ( ( last_c571238084t_unit @ L )
= ( nth_co1649820636t_unit @ L @ ( minus_minus_nat @ ( size_s1406904903t_unit @ L ) @ one_one_nat ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(259,plain,
( ( ord_less_nat @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) @ ( size_s1406904903t_unit @ ( fe @ n ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(260,plain,
( ( ! [Xs: list_c1059388851t_unit] :
( ( Xs != nil_co1338500125t_unit )
=> ( ( last_c571238084t_unit @ Xs )
= ( nth_co1649820636t_unit @ Xs @ ( minus_minus_nat @ ( size_s1406904903t_unit @ Xs ) @ one_one_nat ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(261,plain,
( ( one_one_nat = one_one_nat )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(262,plain,
( ( ! [I: nat,J: nat,K: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ I @ J ) @ K )
= ( minus_minus_nat @ ( minus_minus_nat @ I @ K ) @ J ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(263,plain,
( ( ! [N: nat] :
? [Xs2: list_c1059388851t_unit] :
( ( size_s1406904903t_unit @ Xs2 )
= N ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(264,plain,
( ( ! [Xs: list_c1059388851t_unit,Ys: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs )
!= ( size_s1406904903t_unit @ Ys ) )
=> ( Xs != Ys ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(265,plain,
( ( ! [X: list_c1059388851t_unit,Y: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ X )
!= ( size_s1406904903t_unit @ Y ) )
=> ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(266,plain,
( ( ! [I: nat,N: nat] :
( ( ord_less_eq_nat @ I @ N )
=> ( ( minus_minus_nat @ N @ ( minus_minus_nat @ N @ I ) )
= I ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(267,plain,
( ( ! [P: list_c1059388851t_unit > $o,Xs: list_c1059388851t_unit] :
( ! [Xs2: list_c1059388851t_unit] :
( ! [Ys2: list_c1059388851t_unit] :
( ( ord_less_nat @ ( size_s1406904903t_unit @ Ys2 ) @ ( size_s1406904903t_unit @ Xs2 ) )
=> ( P @ Ys2 ) )
=> ( P @ Xs2 ) )
=> ( P @ Xs ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(268,plain,
( ( ! [J: nat,K: nat,N: nat] :
( ( ord_less_nat @ J @ K )
=> ( ord_less_nat @ ( minus_minus_nat @ J @ N ) @ K ) ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(269,plain,
( ( ! [M: nat,N: nat,L: nat] :
( ( ord_less_nat @ M @ N )
=> ( ( ord_less_nat @ M @ L )
=> ( ord_less_nat @ ( minus_minus_nat @ L @ N ) @ ( minus_minus_nat @ L @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(270,plain,
( ( ! [M: nat,N: nat,L: nat] :
( ( ord_less_eq_nat @ M @ N )
=> ( ord_less_eq_nat @ ( minus_minus_nat @ L @ N ) @ ( minus_minus_nat @ L @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(271,plain,
( ( ! [A: nat,C: nat,B: nat] :
( ( ord_less_eq_nat @ A @ C )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ( ord_less_eq_nat @ ( minus_minus_nat @ C @ A ) @ ( minus_minus_nat @ C @ B ) )
= ( ord_less_eq_nat @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(272,plain,
( ( ! [M: nat,N: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ M @ N ) @ M ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(273,plain,
( ( ! [M: nat,N: nat,L: nat] :
( ( ord_less_eq_nat @ M @ N )
=> ( ord_less_eq_nat @ ( minus_minus_nat @ M @ L ) @ ( minus_minus_nat @ N @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(274,plain,
( ( ! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( minus_minus_nat @ ( minus_minus_nat @ M @ K ) @ ( minus_minus_nat @ N @ K ) )
= ( minus_minus_nat @ M @ N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(275,plain,
( ( ! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( ord_less_eq_nat @ ( minus_minus_nat @ M @ K ) @ ( minus_minus_nat @ N @ K ) )
= ( ord_less_eq_nat @ M @ N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(276,plain,
( ( ! [K: nat,M: nat,N: nat] :
( ( ord_less_eq_nat @ K @ M )
=> ( ( ord_less_eq_nat @ K @ N )
=> ( ( ( minus_minus_nat @ M @ K )
= ( minus_minus_nat @ N @ K ) )
= ( M = N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(277,plain,
( ( ( ^ [Y4: list_c1059388851t_unit,Z: list_c1059388851t_unit] : ( Y4 = Z ) )
= ( ^ [Xs3: list_c1059388851t_unit,Ys3: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs3 )
= ( size_s1406904903t_unit @ Ys3 ) )
& ! [I3: nat] :
( ( ord_less_nat @ I3 @ ( size_s1406904903t_unit @ Xs3 ) )
=> ( ( nth_co1649820636t_unit @ Xs3 @ I3 )
= ( nth_co1649820636t_unit @ Ys3 @ I3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(278,plain,
( ( ! [K: nat,P: nat > config256849571t_unit > $o] :
( ( ! [I3: nat] :
( ( ord_less_nat @ I3 @ K )
=> ? [X3: config256849571t_unit] : ( P @ I3 @ X3 ) ) )
= ( ? [Xs3: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs3 )
= K )
& ! [I3: nat] :
( ( ord_less_nat @ I3 @ K )
=> ( P @ I3 @ ( nth_co1649820636t_unit @ Xs3 @ I3 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(279,plain,
( ( ! [Xs: list_c1059388851t_unit,Ys: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ Xs )
= ( size_s1406904903t_unit @ Ys ) )
=> ( ! [I2: nat] :
( ( ord_less_nat @ I2 @ ( size_s1406904903t_unit @ Xs ) )
=> ( ( nth_co1649820636t_unit @ Xs @ I2 )
= ( nth_co1649820636t_unit @ Ys @ I2 ) ) )
=> ( Xs = Ys ) ) ) )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(280,plain,
( ( ! [X: nat] :
( ( one_one_nat = X )
= ( X = one_one_nat ) ) )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(281,plain,
( ( ! [A: nat,C: nat,B: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ A @ C ) @ B )
= ( minus_minus_nat @ ( minus_minus_nat @ A @ B ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(282,plain,
( ( ~ ( ord_less_nat @ one_one_nat @ one_one_nat ) )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(283,plain,
( ( ord_less_eq_nat @ one_one_nat @ one_one_nat )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(284,plain,
( ( ! [C: nat,A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ C @ A ) @ ( plus_plus_nat @ C @ B ) )
= ( minus_minus_nat @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(285,plain,
( ( ! [A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ B ) @ A )
= B ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(286,plain,
( ( ! [A: nat,C: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ C ) @ ( plus_plus_nat @ B @ C ) )
= ( minus_minus_nat @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(287,plain,
( ( ! [A: nat,B: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ A @ B ) @ B )
= A ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(288,plain,
( ( ! [I: nat,J: nat,K: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ I @ J ) @ K )
= ( minus_minus_nat @ I @ ( plus_plus_nat @ J @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(289,plain,
( ( ! [A: nat,B: nat,C: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ A @ B ) @ C )
= ( minus_minus_nat @ A @ ( plus_plus_nat @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(290,plain,
( ( ! [C: nat,B: nat,A: nat] :
( ( ( plus_plus_nat @ C @ B )
= A )
=> ( C
= ( minus_minus_nat @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[222]) ).
thf(291,plain,
( ( ! [K: nat,M: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ K @ M ) @ ( plus_plus_nat @ K @ N ) )
= ( minus_minus_nat @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(292,plain,
( ( ! [M: nat,K: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ M @ K ) @ ( plus_plus_nat @ N @ K ) )
= ( minus_minus_nat @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[220]) ).
thf(293,plain,
( ( ! [N: nat,M: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ N @ M ) @ N )
= M ) )
= $true ),
inference(copy,[status(thm)],[219]) ).
thf(294,plain,
( ( ! [M: nat,N: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ M @ N ) @ N )
= M ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(295,plain,
( ( ( last_c571238084t_unit @ ( fe @ n ) )
!= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(296,plain,
( ( ! [SX0: nat] :
~ ! [SX1: list_c1059388851t_unit] :
( ( size_s1406904903t_unit @ SX1 )
!= SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(297,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ( ( plus_plus_nat @ SX0 @ SX1 )
!= SX2 )
| ( SX0
= ( minus_minus_nat @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(298,plain,
( ( ! [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit] :
( ~ ( ( ( size_s1406904903t_unit @ SX0 )
!= ( size_s1406904903t_unit @ SX1 ) ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(299,plain,
( ( ! [SX0: list_c1059388851t_unit] :
( ~ ( ( SX0 != nil_co1338500125t_unit ) )
| ( ( last_c571238084t_unit @ SX0 )
= ( nth_co1649820636t_unit @ SX0 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SX0 ) @ one_one_nat ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(300,plain,
( ( ! [SX0: list_c1059388851t_unit > $o,SX1: list_c1059388851t_unit] :
( ~ ! [SX2: list_c1059388851t_unit] :
( ~ ! [SX3: list_c1059388851t_unit] :
( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SX3 ) @ ( size_s1406904903t_unit @ SX2 ) )
| ( SX0 @ SX3 ) )
| ( SX0 @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(301,plain,
( ( ! [SX0: nat,SX1: nat > config256849571t_unit > $o] :
( ( ! [SX2: nat] :
( ~ ( ord_less_nat @ SX2 @ SX0 )
| ~ ! [SX3: config256849571t_unit] :
~ ( SX1 @ SX2 @ SX3 ) ) )
= ( ~ ! [SX2: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SX2 )
!= SX0 )
| ~ ! [SX3: nat] :
( ~ ( ord_less_nat @ SX3 @ SX0 )
| ( SX1 @ SX3 @ ( nth_co1649820636t_unit @ SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(302,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ~ ( ord_less_nat @ SX0 @ SX1 )
| ( ord_less_nat @ ( minus_minus_nat @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(303,plain,
( ( ! [SX0: nat,SX1: nat] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ( ( minus_minus_nat @ SX1 @ ( minus_minus_nat @ SX1 @ SX0 ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(304,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ~ ( ord_less_eq_nat @ SX0 @ SX2 )
| ( ( minus_minus_nat @ ( minus_minus_nat @ SX1 @ SX0 ) @ ( minus_minus_nat @ SX2 @ SX0 ) )
= ( minus_minus_nat @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(305,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ~ ( ord_less_nat @ SX0 @ SX1 )
| ~ ( ord_less_nat @ SX0 @ SX2 )
| ( ord_less_nat @ ( minus_minus_nat @ SX2 @ SX1 ) @ ( minus_minus_nat @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(306,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ~ ( ord_less_eq_nat @ SX2 @ SX1 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SX1 @ SX0 ) @ ( minus_minus_nat @ SX1 @ SX2 ) )
= ( ord_less_eq_nat @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(307,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ~ ( ord_less_eq_nat @ SX0 @ SX2 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SX1 @ SX0 ) @ ( minus_minus_nat @ SX2 @ SX0 ) )
= ( ord_less_eq_nat @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(308,plain,
( ( ! [SX0: list_c1059388851t_unit] :
( ~ ( ( SX0 != nil_co1338500125t_unit ) )
| ( ( last_c571238084t_unit @ SX0 )
= ( nth_co1649820636t_unit @ SX0 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SX0 ) @ one_one_nat ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(309,plain,
( ( ( fe @ n )
!= nil_co1338500125t_unit )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(310,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ( ord_less_eq_nat @ ( minus_minus_nat @ SX0 @ SX2 ) @ ( minus_minus_nat @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(311,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ( ord_less_eq_nat @ ( minus_minus_nat @ SX2 @ SX1 ) @ ( minus_minus_nat @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(312,plain,
( ( ( ^ [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit] : ( SX0 = SX1 ) )
= ( ^ [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit] :
~ ( ( ( size_s1406904903t_unit @ SX0 )
!= ( size_s1406904903t_unit @ SX1 ) )
| ~ ! [SX2: nat] :
( ~ ( ord_less_nat @ SX2 @ ( size_s1406904903t_unit @ SX0 ) )
| ( ( nth_co1649820636t_unit @ SX0 @ SX2 )
= ( nth_co1649820636t_unit @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(313,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ~ ( ord_less_eq_nat @ SX0 @ SX2 )
| ( ( ( minus_minus_nat @ SX1 @ SX0 )
= ( minus_minus_nat @ SX2 @ SX0 ) )
= ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(314,plain,
( ( ! [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit] :
( ~ ( ( ( size_s1406904903t_unit @ SX0 )
!= ( size_s1406904903t_unit @ SX1 ) ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(315,plain,
( ( ! [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ SX0 )
!= ( size_s1406904903t_unit @ SX1 ) )
| ~ ! [SX2: nat] :
( ~ ( ord_less_nat @ SX2 @ ( size_s1406904903t_unit @ SX0 ) )
| ( ( nth_co1649820636t_unit @ SX0 @ SX2 )
= ( nth_co1649820636t_unit @ SX1 @ SX2 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(316,plain,
! [SV1: nat] :
( ( ! [SY90: nat,SY91: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ SV1 @ SY90 ) @ SY91 )
= ( minus_minus_nat @ ( minus_minus_nat @ SV1 @ SY91 ) @ SY90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(317,plain,
! [SV2: nat] :
( ( ! [SY92: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ SV2 @ SY92 ) @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(318,plain,
! [SV3: nat] :
( ( ( one_one_nat = SV3 )
= ( SV3 = one_one_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(319,plain,
! [SV4: nat] :
( ( ! [SY93: nat,SY94: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ SV4 @ SY93 ) @ SY94 )
= ( minus_minus_nat @ ( minus_minus_nat @ SV4 @ SY94 ) @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(320,plain,
( ( ord_less_nat @ one_one_nat @ one_one_nat )
= $false ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(321,plain,
! [SV5: nat] :
( ( ! [SY95: nat,SY96: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV5 @ SY95 ) @ ( plus_plus_nat @ SV5 @ SY96 ) )
= ( minus_minus_nat @ SY95 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(322,plain,
! [SV6: nat] :
( ( ! [SY97: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV6 @ SY97 ) @ SV6 )
= SY97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(323,plain,
! [SV7: nat] :
( ( ! [SY98: nat,SY99: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV7 @ SY98 ) @ ( plus_plus_nat @ SY99 @ SY98 ) )
= ( minus_minus_nat @ SV7 @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(324,plain,
! [SV8: nat] :
( ( ! [SY100: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV8 @ SY100 ) @ SY100 )
= SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(325,plain,
! [SV9: nat] :
( ( ! [SY101: nat,SY102: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ SV9 @ SY101 ) @ SY102 )
= ( minus_minus_nat @ SV9 @ ( plus_plus_nat @ SY101 @ SY102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(326,plain,
! [SV10: nat] :
( ( ! [SY103: nat,SY104: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ SV10 @ SY103 ) @ SY104 )
= ( minus_minus_nat @ SV10 @ ( plus_plus_nat @ SY103 @ SY104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(327,plain,
! [SV11: nat] :
( ( ! [SY105: nat,SY106: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV11 @ SY105 ) @ ( plus_plus_nat @ SV11 @ SY106 ) )
= ( minus_minus_nat @ SY105 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(328,plain,
! [SV12: nat] :
( ( ! [SY107: nat,SY108: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV12 @ SY107 ) @ ( plus_plus_nat @ SY108 @ SY107 ) )
= ( minus_minus_nat @ SV12 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(329,plain,
! [SV13: nat] :
( ( ! [SY109: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV13 @ SY109 ) @ SV13 )
= SY109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(330,plain,
! [SV14: nat] :
( ( ! [SY110: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV14 @ SY110 ) @ SY110 )
= SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(331,plain,
( ( ( last_c571238084t_unit @ ( fe @ n ) )
= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(332,plain,
! [SV15: nat] :
( ( ~ ! [SY111: list_c1059388851t_unit] :
( ( size_s1406904903t_unit @ SY111 )
!= SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(333,plain,
! [SV16: nat] :
( ( ! [SY112: nat,SY113: nat] :
( ( ( plus_plus_nat @ SV16 @ SY112 )
!= SY113 )
| ( SV16
= ( minus_minus_nat @ SY113 @ SY112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(334,plain,
! [SV17: list_c1059388851t_unit] :
( ( ! [SY114: list_c1059388851t_unit] :
( ~ ( ( ( size_s1406904903t_unit @ SV17 )
!= ( size_s1406904903t_unit @ SY114 ) ) )
| ( SV17 != SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(335,plain,
! [SV18: list_c1059388851t_unit] :
( ( ~ ( ( SV18 != nil_co1338500125t_unit ) )
| ( ( last_c571238084t_unit @ SV18 )
= ( nth_co1649820636t_unit @ SV18 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SV18 ) @ one_one_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(336,plain,
! [SV19: list_c1059388851t_unit > $o] :
( ( ! [SY115: list_c1059388851t_unit] :
( ~ ! [SY116: list_c1059388851t_unit] :
( ~ ! [SY117: list_c1059388851t_unit] :
( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SY117 ) @ ( size_s1406904903t_unit @ SY116 ) )
| ( SV19 @ SY117 ) )
| ( SV19 @ SY116 ) )
| ( SV19 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(337,plain,
! [SV20: nat] :
( ( ! [SY118: nat > config256849571t_unit > $o] :
( ( ! [SY119: nat] :
( ~ ( ord_less_nat @ SY119 @ SV20 )
| ~ ! [SX3: config256849571t_unit] :
~ ( SY118 @ SY119 @ SX3 ) ) )
= ( ~ ! [SY121: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY121 )
!= SV20 )
| ~ ! [SY122: nat] :
( ~ ( ord_less_nat @ SY122 @ SV20 )
| ( SY118 @ SY122 @ ( nth_co1649820636t_unit @ SY121 @ SY122 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(338,plain,
! [SV21: nat] :
( ( ! [SY123: nat,SY124: nat] :
( ~ ( ord_less_nat @ SV21 @ SY123 )
| ( ord_less_nat @ ( minus_minus_nat @ SV21 @ SY124 ) @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(339,plain,
! [SV22: nat] :
( ( ! [SY125: nat] :
( ~ ( ord_less_eq_nat @ SV22 @ SY125 )
| ( ( minus_minus_nat @ SY125 @ ( minus_minus_nat @ SY125 @ SV22 ) )
= SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(340,plain,
! [SV23: nat] :
( ( ! [SY126: nat,SY127: nat] :
( ~ ( ord_less_eq_nat @ SV23 @ SY126 )
| ~ ( ord_less_eq_nat @ SV23 @ SY127 )
| ( ( minus_minus_nat @ ( minus_minus_nat @ SY126 @ SV23 ) @ ( minus_minus_nat @ SY127 @ SV23 ) )
= ( minus_minus_nat @ SY126 @ SY127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(341,plain,
! [SV24: nat] :
( ( ! [SY128: nat,SY129: nat] :
( ~ ( ord_less_nat @ SV24 @ SY128 )
| ~ ( ord_less_nat @ SV24 @ SY129 )
| ( ord_less_nat @ ( minus_minus_nat @ SY129 @ SY128 ) @ ( minus_minus_nat @ SY129 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(342,plain,
! [SV25: nat] :
( ( ! [SY130: nat,SY131: nat] :
( ~ ( ord_less_eq_nat @ SV25 @ SY130 )
| ~ ( ord_less_eq_nat @ SY131 @ SY130 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SY130 @ SV25 ) @ ( minus_minus_nat @ SY130 @ SY131 ) )
= ( ord_less_eq_nat @ SY131 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(343,plain,
! [SV26: nat] :
( ( ! [SY132: nat,SY133: nat] :
( ~ ( ord_less_eq_nat @ SV26 @ SY132 )
| ~ ( ord_less_eq_nat @ SV26 @ SY133 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SY132 @ SV26 ) @ ( minus_minus_nat @ SY133 @ SV26 ) )
= ( ord_less_eq_nat @ SY132 @ SY133 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(344,plain,
! [SV27: list_c1059388851t_unit] :
( ( ~ ( ( SV27 != nil_co1338500125t_unit ) )
| ( ( last_c571238084t_unit @ SV27 )
= ( nth_co1649820636t_unit @ SV27 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SV27 ) @ one_one_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(345,plain,
( ( ( fe @ n )
= nil_co1338500125t_unit )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(346,plain,
! [SV28: nat] :
( ( ! [SY134: nat,SY135: nat] :
( ~ ( ord_less_eq_nat @ SV28 @ SY134 )
| ( ord_less_eq_nat @ ( minus_minus_nat @ SV28 @ SY135 ) @ ( minus_minus_nat @ SY134 @ SY135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(347,plain,
! [SV29: nat] :
( ( ! [SY136: nat,SY137: nat] :
( ~ ( ord_less_eq_nat @ SV29 @ SY136 )
| ( ord_less_eq_nat @ ( minus_minus_nat @ SY137 @ SY136 ) @ ( minus_minus_nat @ SY137 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(348,plain,
( ( ! [SV30: list_c1059388851t_unit] :
( ( ^ [SY138: list_c1059388851t_unit] : ( SV30 = SY138 ) )
= ( ^ [SY139: list_c1059388851t_unit] :
~ ( ( ( size_s1406904903t_unit @ SV30 )
!= ( size_s1406904903t_unit @ SY139 ) )
| ~ ! [SY140: nat] :
( ~ ( ord_less_nat @ SY140 @ ( size_s1406904903t_unit @ SV30 ) )
| ( ( nth_co1649820636t_unit @ SV30 @ SY140 )
= ( nth_co1649820636t_unit @ SY139 @ SY140 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[312]) ).
thf(349,plain,
( ( ( ^ [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit] : ( SX0 = SX1 ) )
= ( ^ [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit] :
~ ( ( ( size_s1406904903t_unit @ SX0 )
!= ( size_s1406904903t_unit @ SX1 ) )
| ~ ! [SX2: nat] :
( ~ ( ord_less_nat @ SX2 @ ( size_s1406904903t_unit @ SX0 ) )
| ( ( nth_co1649820636t_unit @ SX0 @ SX2 )
= ( nth_co1649820636t_unit @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[312]) ).
thf(350,plain,
! [SV31: nat] :
( ( ! [SY141: nat,SY142: nat] :
( ~ ( ord_less_eq_nat @ SV31 @ SY141 )
| ~ ( ord_less_eq_nat @ SV31 @ SY142 )
| ( ( ( minus_minus_nat @ SY141 @ SV31 )
= ( minus_minus_nat @ SY142 @ SV31 ) )
= ( SY141 = SY142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(351,plain,
! [SV32: list_c1059388851t_unit] :
( ( ! [SY143: list_c1059388851t_unit] :
( ~ ( ( ( size_s1406904903t_unit @ SV32 )
!= ( size_s1406904903t_unit @ SY143 ) ) )
| ( SV32 != SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(352,plain,
! [SV33: list_c1059388851t_unit] :
( ( ! [SY144: list_c1059388851t_unit] :
( ( ( size_s1406904903t_unit @ SV33 )
!= ( size_s1406904903t_unit @ SY144 ) )
| ~ ! [SY145: nat] :
( ~ ( ord_less_nat @ SY145 @ ( size_s1406904903t_unit @ SV33 ) )
| ( ( nth_co1649820636t_unit @ SV33 @ SY145 )
= ( nth_co1649820636t_unit @ SY144 @ SY145 ) ) )
| ( SV33 = SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(353,plain,
! [SV34: nat,SV1: nat] :
( ( ! [SY146: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ SV1 @ SV34 ) @ SY146 )
= ( minus_minus_nat @ ( minus_minus_nat @ SV1 @ SY146 ) @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(354,plain,
! [SV35: nat,SV2: nat] :
( ( ord_less_eq_nat @ ( minus_minus_nat @ SV2 @ SV35 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(355,plain,
! [SV3: nat] :
( ( ~ ( ( one_one_nat = SV3 )
| ( SV3 = one_one_nat ) )
| ~ ( ( one_one_nat != SV3 )
| ( SV3 != one_one_nat ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[318]) ).
thf(356,plain,
! [SV3: nat] :
( ( ( one_one_nat = SV3 )
= ( SV3 = one_one_nat ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[318]) ).
thf(357,plain,
! [SV36: nat,SV4: nat] :
( ( ! [SY147: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ SV4 @ SV36 ) @ SY147 )
= ( minus_minus_nat @ ( minus_minus_nat @ SV4 @ SY147 ) @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(358,plain,
! [SV37: nat,SV5: nat] :
( ( ! [SY148: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV5 @ SV37 ) @ ( plus_plus_nat @ SV5 @ SY148 ) )
= ( minus_minus_nat @ SV37 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(359,plain,
! [SV38: nat,SV6: nat] :
( ( ( minus_minus_nat @ ( plus_plus_nat @ SV6 @ SV38 ) @ SV6 )
= SV38 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(360,plain,
! [SV39: nat,SV7: nat] :
( ( ! [SY149: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV7 @ SV39 ) @ ( plus_plus_nat @ SY149 @ SV39 ) )
= ( minus_minus_nat @ SV7 @ SY149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(361,plain,
! [SV40: nat,SV8: nat] :
( ( ( minus_minus_nat @ ( plus_plus_nat @ SV8 @ SV40 ) @ SV40 )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(362,plain,
! [SV41: nat,SV9: nat] :
( ( ! [SY150: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ SV9 @ SV41 ) @ SY150 )
= ( minus_minus_nat @ SV9 @ ( plus_plus_nat @ SV41 @ SY150 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(363,plain,
! [SV42: nat,SV10: nat] :
( ( ! [SY151: nat] :
( ( minus_minus_nat @ ( minus_minus_nat @ SV10 @ SV42 ) @ SY151 )
= ( minus_minus_nat @ SV10 @ ( plus_plus_nat @ SV42 @ SY151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(364,plain,
! [SV43: nat,SV11: nat] :
( ( ! [SY152: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV11 @ SV43 ) @ ( plus_plus_nat @ SV11 @ SY152 ) )
= ( minus_minus_nat @ SV43 @ SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(365,plain,
! [SV44: nat,SV12: nat] :
( ( ! [SY153: nat] :
( ( minus_minus_nat @ ( plus_plus_nat @ SV12 @ SV44 ) @ ( plus_plus_nat @ SY153 @ SV44 ) )
= ( minus_minus_nat @ SV12 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(366,plain,
! [SV45: nat,SV13: nat] :
( ( ( minus_minus_nat @ ( plus_plus_nat @ SV13 @ SV45 ) @ SV13 )
= SV45 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(367,plain,
! [SV46: nat,SV14: nat] :
( ( ( minus_minus_nat @ ( plus_plus_nat @ SV14 @ SV46 ) @ SV46 )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(368,plain,
! [SV15: nat] :
( ( ! [SY111: list_c1059388851t_unit] :
( ( size_s1406904903t_unit @ SY111 )
!= SV15 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(369,plain,
! [SV47: nat,SV16: nat] :
( ( ! [SY154: nat] :
( ( ( plus_plus_nat @ SV16 @ SV47 )
!= SY154 )
| ( SV16
= ( minus_minus_nat @ SY154 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(370,plain,
! [SV48: list_c1059388851t_unit,SV17: list_c1059388851t_unit] :
( ( ~ ( ( ( size_s1406904903t_unit @ SV17 )
!= ( size_s1406904903t_unit @ SV48 ) ) )
| ( SV17 != SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(371,plain,
! [SV18: list_c1059388851t_unit] :
( ( ( ~ ( ( SV18 != nil_co1338500125t_unit ) ) )
= $true )
| ( ( ( last_c571238084t_unit @ SV18 )
= ( nth_co1649820636t_unit @ SV18 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SV18 ) @ one_one_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(372,plain,
! [SV49: list_c1059388851t_unit,SV19: list_c1059388851t_unit > $o] :
( ( ~ ! [SY116: list_c1059388851t_unit] :
( ~ ! [SY117: list_c1059388851t_unit] :
( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SY117 ) @ ( size_s1406904903t_unit @ SY116 ) )
| ( SV19 @ SY117 ) )
| ( SV19 @ SY116 ) )
| ( SV19 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(373,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= ( ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(374,plain,
! [SV51: nat,SV21: nat] :
( ( ! [SY161: nat] :
( ~ ( ord_less_nat @ SV21 @ SV51 )
| ( ord_less_nat @ ( minus_minus_nat @ SV21 @ SY161 ) @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(375,plain,
! [SV52: nat,SV22: nat] :
( ( ~ ( ord_less_eq_nat @ SV22 @ SV52 )
| ( ( minus_minus_nat @ SV52 @ ( minus_minus_nat @ SV52 @ SV22 ) )
= SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(376,plain,
! [SV53: nat,SV23: nat] :
( ( ! [SY162: nat] :
( ~ ( ord_less_eq_nat @ SV23 @ SV53 )
| ~ ( ord_less_eq_nat @ SV23 @ SY162 )
| ( ( minus_minus_nat @ ( minus_minus_nat @ SV53 @ SV23 ) @ ( minus_minus_nat @ SY162 @ SV23 ) )
= ( minus_minus_nat @ SV53 @ SY162 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(377,plain,
! [SV54: nat,SV24: nat] :
( ( ! [SY163: nat] :
( ~ ( ord_less_nat @ SV24 @ SV54 )
| ~ ( ord_less_nat @ SV24 @ SY163 )
| ( ord_less_nat @ ( minus_minus_nat @ SY163 @ SV54 ) @ ( minus_minus_nat @ SY163 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(378,plain,
! [SV55: nat,SV25: nat] :
( ( ! [SY164: nat] :
( ~ ( ord_less_eq_nat @ SV25 @ SV55 )
| ~ ( ord_less_eq_nat @ SY164 @ SV55 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SY164 ) )
= ( ord_less_eq_nat @ SY164 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(379,plain,
! [SV56: nat,SV26: nat] :
( ( ! [SY165: nat] :
( ~ ( ord_less_eq_nat @ SV26 @ SV56 )
| ~ ( ord_less_eq_nat @ SV26 @ SY165 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SY165 @ SV26 ) )
= ( ord_less_eq_nat @ SV56 @ SY165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(380,plain,
! [SV27: list_c1059388851t_unit] :
( ( ( ~ ( ( SV27 != nil_co1338500125t_unit ) ) )
= $true )
| ( ( ( last_c571238084t_unit @ SV27 )
= ( nth_co1649820636t_unit @ SV27 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SV27 ) @ one_one_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(381,plain,
! [SV57: nat,SV28: nat] :
( ( ! [SY166: nat] :
( ~ ( ord_less_eq_nat @ SV28 @ SV57 )
| ( ord_less_eq_nat @ ( minus_minus_nat @ SV28 @ SY166 ) @ ( minus_minus_nat @ SV57 @ SY166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(382,plain,
! [SV58: nat,SV29: nat] :
( ( ! [SY167: nat] :
( ~ ( ord_less_eq_nat @ SV29 @ SV58 )
| ( ord_less_eq_nat @ ( minus_minus_nat @ SY167 @ SV58 ) @ ( minus_minus_nat @ SY167 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(383,plain,
! [SV59: list_c1059388851t_unit] :
( ( ( ^ [SY168: list_c1059388851t_unit] : ( SV59 = SY168 ) )
= ( ^ [SY169: list_c1059388851t_unit] :
~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SY169 ) )
| ~ ! [SY170: nat] :
( ~ ( ord_less_nat @ SY170 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY170 )
= ( nth_co1649820636t_unit @ SY169 @ SY170 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(384,plain,
! [SV60: nat,SV31: nat] :
( ( ! [SY171: nat] :
( ~ ( ord_less_eq_nat @ SV31 @ SV60 )
| ~ ( ord_less_eq_nat @ SV31 @ SY171 )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SY171 @ SV31 ) )
= ( SV60 = SY171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(385,plain,
! [SV61: list_c1059388851t_unit,SV32: list_c1059388851t_unit] :
( ( ~ ( ( ( size_s1406904903t_unit @ SV32 )
!= ( size_s1406904903t_unit @ SV61 ) ) )
| ( SV32 != SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(386,plain,
! [SV62: list_c1059388851t_unit,SV33: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV33 )
!= ( size_s1406904903t_unit @ SV62 ) )
| ~ ! [SY172: nat] :
( ~ ( ord_less_nat @ SY172 @ ( size_s1406904903t_unit @ SV33 ) )
| ( ( nth_co1649820636t_unit @ SV33 @ SY172 )
= ( nth_co1649820636t_unit @ SV62 @ SY172 ) ) )
| ( SV33 = SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(387,plain,
! [SV63: nat,SV34: nat,SV1: nat] :
( ( ( minus_minus_nat @ ( minus_minus_nat @ SV1 @ SV34 ) @ SV63 )
= ( minus_minus_nat @ ( minus_minus_nat @ SV1 @ SV63 ) @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(388,plain,
! [SV3: nat] :
( ( ( ~ ( ( one_one_nat = SV3 )
| ( SV3 = one_one_nat ) ) )
= $true )
| ( ( ~ ( ( one_one_nat != SV3 )
| ( SV3 != one_one_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(389,plain,
! [SV64: nat,SV36: nat,SV4: nat] :
( ( ( minus_minus_nat @ ( minus_minus_nat @ SV4 @ SV36 ) @ SV64 )
= ( minus_minus_nat @ ( minus_minus_nat @ SV4 @ SV64 ) @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(390,plain,
! [SV65: nat,SV37: nat,SV5: nat] :
( ( ( minus_minus_nat @ ( plus_plus_nat @ SV5 @ SV37 ) @ ( plus_plus_nat @ SV5 @ SV65 ) )
= ( minus_minus_nat @ SV37 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(391,plain,
! [SV66: nat,SV39: nat,SV7: nat] :
( ( ( minus_minus_nat @ ( plus_plus_nat @ SV7 @ SV39 ) @ ( plus_plus_nat @ SV66 @ SV39 ) )
= ( minus_minus_nat @ SV7 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(392,plain,
! [SV67: nat,SV41: nat,SV9: nat] :
( ( ( minus_minus_nat @ ( minus_minus_nat @ SV9 @ SV41 ) @ SV67 )
= ( minus_minus_nat @ SV9 @ ( plus_plus_nat @ SV41 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(393,plain,
! [SV68: nat,SV42: nat,SV10: nat] :
( ( ( minus_minus_nat @ ( minus_minus_nat @ SV10 @ SV42 ) @ SV68 )
= ( minus_minus_nat @ SV10 @ ( plus_plus_nat @ SV42 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(394,plain,
! [SV69: nat,SV43: nat,SV11: nat] :
( ( ( minus_minus_nat @ ( plus_plus_nat @ SV11 @ SV43 ) @ ( plus_plus_nat @ SV11 @ SV69 ) )
= ( minus_minus_nat @ SV43 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(395,plain,
! [SV70: nat,SV44: nat,SV12: nat] :
( ( ( minus_minus_nat @ ( plus_plus_nat @ SV12 @ SV44 ) @ ( plus_plus_nat @ SV70 @ SV44 ) )
= ( minus_minus_nat @ SV12 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(396,plain,
! [SV15: nat] :
( ( ( size_s1406904903t_unit @ ( sK1_SY111 @ SV15 ) )
!= SV15 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[368]) ).
thf(397,plain,
! [SV71: nat,SV47: nat,SV16: nat] :
( ( ( ( plus_plus_nat @ SV16 @ SV47 )
!= SV71 )
| ( SV16
= ( minus_minus_nat @ SV71 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(398,plain,
! [SV48: list_c1059388851t_unit,SV17: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ SV17 )
!= ( size_s1406904903t_unit @ SV48 ) ) ) )
= $true )
| ( ( SV17 != SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(399,plain,
! [SV18: list_c1059388851t_unit] :
( ( ( SV18 != nil_co1338500125t_unit )
= $false )
| ( ( ( last_c571238084t_unit @ SV18 )
= ( nth_co1649820636t_unit @ SV18 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SV18 ) @ one_one_nat ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(400,plain,
! [SV49: list_c1059388851t_unit,SV19: list_c1059388851t_unit > $o] :
( ( ( ~ ! [SY116: list_c1059388851t_unit] :
( ~ ! [SY117: list_c1059388851t_unit] :
( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SY117 ) @ ( size_s1406904903t_unit @ SY116 ) )
| ( SV19 @ SY117 ) )
| ( SV19 @ SY116 ) ) )
= $true )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(401,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ~ ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
| ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[373]) ).
thf(402,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= ( ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[373]) ).
thf(403,plain,
! [SV72: nat,SV51: nat,SV21: nat] :
( ( ~ ( ord_less_nat @ SV21 @ SV51 )
| ( ord_less_nat @ ( minus_minus_nat @ SV21 @ SV72 ) @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(404,plain,
! [SV52: nat,SV22: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV22 @ SV52 ) )
= $true )
| ( ( ( minus_minus_nat @ SV52 @ ( minus_minus_nat @ SV52 @ SV22 ) )
= SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(405,plain,
! [SV73: nat,SV53: nat,SV23: nat] :
( ( ~ ( ord_less_eq_nat @ SV23 @ SV53 )
| ~ ( ord_less_eq_nat @ SV23 @ SV73 )
| ( ( minus_minus_nat @ ( minus_minus_nat @ SV53 @ SV23 ) @ ( minus_minus_nat @ SV73 @ SV23 ) )
= ( minus_minus_nat @ SV53 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(406,plain,
! [SV74: nat,SV54: nat,SV24: nat] :
( ( ~ ( ord_less_nat @ SV24 @ SV54 )
| ~ ( ord_less_nat @ SV24 @ SV74 )
| ( ord_less_nat @ ( minus_minus_nat @ SV74 @ SV54 ) @ ( minus_minus_nat @ SV74 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(407,plain,
! [SV75: nat,SV55: nat,SV25: nat] :
( ( ~ ( ord_less_eq_nat @ SV25 @ SV55 )
| ~ ( ord_less_eq_nat @ SV75 @ SV55 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(408,plain,
! [SV76: nat,SV56: nat,SV26: nat] :
( ( ~ ( ord_less_eq_nat @ SV26 @ SV56 )
| ~ ( ord_less_eq_nat @ SV26 @ SV76 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(409,plain,
! [SV27: list_c1059388851t_unit] :
( ( ( SV27 != nil_co1338500125t_unit )
= $false )
| ( ( ( last_c571238084t_unit @ SV27 )
= ( nth_co1649820636t_unit @ SV27 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SV27 ) @ one_one_nat ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(410,plain,
! [SV77: nat,SV57: nat,SV28: nat] :
( ( ~ ( ord_less_eq_nat @ SV28 @ SV57 )
| ( ord_less_eq_nat @ ( minus_minus_nat @ SV28 @ SV77 ) @ ( minus_minus_nat @ SV57 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(411,plain,
! [SV78: nat,SV58: nat,SV29: nat] :
( ( ~ ( ord_less_eq_nat @ SV29 @ SV58 )
| ( ord_less_eq_nat @ ( minus_minus_nat @ SV78 @ SV58 ) @ ( minus_minus_nat @ SV78 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(412,plain,
! [SV59: list_c1059388851t_unit] :
( ( ! [SV79: list_c1059388851t_unit] :
( ( SV59 = SV79 )
= ( ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV79 ) )
| ~ ! [SY173: nat] :
( ~ ( ord_less_nat @ SY173 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY173 )
= ( nth_co1649820636t_unit @ SV79 @ SY173 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[383]) ).
thf(413,plain,
! [SV59: list_c1059388851t_unit] :
( ( ( ^ [SY168: list_c1059388851t_unit] : ( SV59 = SY168 ) )
= ( ^ [SY169: list_c1059388851t_unit] :
~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SY169 ) )
| ~ ! [SY170: nat] :
( ~ ( ord_less_nat @ SY170 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY170 )
= ( nth_co1649820636t_unit @ SY169 @ SY170 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[383]) ).
thf(414,plain,
! [SV80: nat,SV60: nat,SV31: nat] :
( ( ~ ( ord_less_eq_nat @ SV31 @ SV60 )
| ~ ( ord_less_eq_nat @ SV31 @ SV80 )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= ( SV60 = SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(415,plain,
! [SV61: list_c1059388851t_unit,SV32: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ SV32 )
!= ( size_s1406904903t_unit @ SV61 ) ) ) )
= $true )
| ( ( SV32 != SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(416,plain,
! [SV62: list_c1059388851t_unit,SV33: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV33 )
!= ( size_s1406904903t_unit @ SV62 ) )
= $true )
| ( ( ~ ! [SY172: nat] :
( ~ ( ord_less_nat @ SY172 @ ( size_s1406904903t_unit @ SV33 ) )
| ( ( nth_co1649820636t_unit @ SV33 @ SY172 )
= ( nth_co1649820636t_unit @ SV62 @ SY172 ) ) )
| ( SV33 = SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(417,plain,
! [SV3: nat] :
( ( ( ( one_one_nat = SV3 )
| ( SV3 = one_one_nat ) )
= $false )
| ( ( ~ ( ( one_one_nat != SV3 )
| ( SV3 != one_one_nat ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(418,plain,
! [SV15: nat] :
( ( ( size_s1406904903t_unit @ ( sK1_SY111 @ SV15 ) )
= SV15 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(419,plain,
! [SV71: nat,SV47: nat,SV16: nat] :
( ( ( ( plus_plus_nat @ SV16 @ SV47 )
!= SV71 )
= $true )
| ( ( SV16
= ( minus_minus_nat @ SV71 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(420,plain,
! [SV48: list_c1059388851t_unit,SV17: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV17 )
!= ( size_s1406904903t_unit @ SV48 ) )
= $false )
| ( ( SV17 != SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(421,plain,
! [SV18: list_c1059388851t_unit] :
( ( ( SV18 = nil_co1338500125t_unit )
= $true )
| ( ( ( last_c571238084t_unit @ SV18 )
= ( nth_co1649820636t_unit @ SV18 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SV18 ) @ one_one_nat ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(422,plain,
! [SV49: list_c1059388851t_unit,SV19: list_c1059388851t_unit > $o] :
( ( ( ! [SY116: list_c1059388851t_unit] :
( ~ ! [SY117: list_c1059388851t_unit] :
( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SY117 ) @ ( size_s1406904903t_unit @ SY116 ) )
| ( SV19 @ SY117 ) )
| ( SV19 @ SY116 ) ) )
= $false )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(423,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(424,plain,
! [SV72: nat,SV51: nat,SV21: nat] :
( ( ( ~ ( ord_less_nat @ SV21 @ SV51 ) )
= $true )
| ( ( ord_less_nat @ ( minus_minus_nat @ SV21 @ SV72 ) @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(425,plain,
! [SV52: nat,SV22: nat] :
( ( ( ord_less_eq_nat @ SV22 @ SV52 )
= $false )
| ( ( ( minus_minus_nat @ SV52 @ ( minus_minus_nat @ SV52 @ SV22 ) )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(426,plain,
! [SV73: nat,SV53: nat,SV23: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV23 @ SV53 ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV23 @ SV73 )
| ( ( minus_minus_nat @ ( minus_minus_nat @ SV53 @ SV23 ) @ ( minus_minus_nat @ SV73 @ SV23 ) )
= ( minus_minus_nat @ SV53 @ SV73 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(427,plain,
! [SV74: nat,SV54: nat,SV24: nat] :
( ( ( ~ ( ord_less_nat @ SV24 @ SV54 ) )
= $true )
| ( ( ~ ( ord_less_nat @ SV24 @ SV74 )
| ( ord_less_nat @ ( minus_minus_nat @ SV74 @ SV54 ) @ ( minus_minus_nat @ SV74 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(428,plain,
! [SV75: nat,SV55: nat,SV25: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV25 @ SV55 ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV75 @ SV55 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(429,plain,
! [SV76: nat,SV56: nat,SV26: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV26 @ SV56 ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV26 @ SV76 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(430,plain,
! [SV27: list_c1059388851t_unit] :
( ( ( SV27 = nil_co1338500125t_unit )
= $true )
| ( ( ( last_c571238084t_unit @ SV27 )
= ( nth_co1649820636t_unit @ SV27 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ SV27 ) @ one_one_nat ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(431,plain,
! [SV77: nat,SV57: nat,SV28: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV28 @ SV57 ) )
= $true )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV28 @ SV77 ) @ ( minus_minus_nat @ SV57 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(432,plain,
! [SV78: nat,SV58: nat,SV29: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV29 @ SV58 ) )
= $true )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV78 @ SV58 ) @ ( minus_minus_nat @ SV78 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(433,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 = SV81 )
= ( ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(434,plain,
! [SV80: nat,SV60: nat,SV31: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV31 @ SV60 ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV31 @ SV80 )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= ( SV60 = SV80 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(435,plain,
! [SV61: list_c1059388851t_unit,SV32: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV32 )
!= ( size_s1406904903t_unit @ SV61 ) )
= $false )
| ( ( SV32 != SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(436,plain,
! [SV62: list_c1059388851t_unit,SV33: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV33 )
= ( size_s1406904903t_unit @ SV62 ) )
= $false )
| ( ( ~ ! [SY172: nat] :
( ~ ( ord_less_nat @ SY172 @ ( size_s1406904903t_unit @ SV33 ) )
| ( ( nth_co1649820636t_unit @ SV33 @ SY172 )
= ( nth_co1649820636t_unit @ SV62 @ SY172 ) ) )
| ( SV33 = SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(437,plain,
! [SV3: nat] :
( ( ( one_one_nat = SV3 )
= $false )
| ( ( ~ ( ( one_one_nat != SV3 )
| ( SV3 != one_one_nat ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(438,plain,
! [SV3: nat] :
( ( ( SV3 = one_one_nat )
= $false )
| ( ( ~ ( ( one_one_nat != SV3 )
| ( SV3 != one_one_nat ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(439,plain,
! [SV71: nat,SV47: nat,SV16: nat] :
( ( ( ( plus_plus_nat @ SV16 @ SV47 )
= SV71 )
= $false )
| ( ( SV16
= ( minus_minus_nat @ SV71 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(440,plain,
! [SV48: list_c1059388851t_unit,SV17: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV17 )
= ( size_s1406904903t_unit @ SV48 ) )
= $true )
| ( ( SV17 != SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(441,plain,
! [SV19: list_c1059388851t_unit > $o,SV49: list_c1059388851t_unit] :
( ( ( ~ ! [SY175: list_c1059388851t_unit] :
( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SY175 ) @ ( size_s1406904903t_unit @ ( sK2_SY116 @ SV49 @ SV19 ) ) )
| ( SV19 @ SY175 ) )
| ( SV19 @ ( sK2_SY116 @ SV49 @ SV19 ) ) )
= $false )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[422]) ).
thf(442,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(443,plain,
! [SV72: nat,SV51: nat,SV21: nat] :
( ( ( ord_less_nat @ SV21 @ SV51 )
= $false )
| ( ( ord_less_nat @ ( minus_minus_nat @ SV21 @ SV72 ) @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(444,plain,
! [SV73: nat,SV53: nat,SV23: nat] :
( ( ( ord_less_eq_nat @ SV23 @ SV53 )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV23 @ SV73 )
| ( ( minus_minus_nat @ ( minus_minus_nat @ SV53 @ SV23 ) @ ( minus_minus_nat @ SV73 @ SV23 ) )
= ( minus_minus_nat @ SV53 @ SV73 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(445,plain,
! [SV74: nat,SV54: nat,SV24: nat] :
( ( ( ord_less_nat @ SV24 @ SV54 )
= $false )
| ( ( ~ ( ord_less_nat @ SV24 @ SV74 )
| ( ord_less_nat @ ( minus_minus_nat @ SV74 @ SV54 ) @ ( minus_minus_nat @ SV74 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(446,plain,
! [SV75: nat,SV55: nat,SV25: nat] :
( ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV75 @ SV55 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(447,plain,
! [SV76: nat,SV56: nat,SV26: nat] :
( ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV26 @ SV76 )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(448,plain,
! [SV77: nat,SV57: nat,SV28: nat] :
( ( ( ord_less_eq_nat @ SV28 @ SV57 )
= $false )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV28 @ SV77 ) @ ( minus_minus_nat @ SV57 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(449,plain,
! [SV78: nat,SV58: nat,SV29: nat] :
( ( ( ord_less_eq_nat @ SV29 @ SV58 )
= $false )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV78 @ SV58 ) @ ( minus_minus_nat @ SV78 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(450,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ~ ( ( SV59 = SV81 )
| ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
| ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[433]) ).
thf(451,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 = SV81 )
= ( ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[433]) ).
thf(452,plain,
! [SV80: nat,SV60: nat,SV31: nat] :
( ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV31 @ SV80 )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= ( SV60 = SV80 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(453,plain,
! [SV61: list_c1059388851t_unit,SV32: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV32 )
= ( size_s1406904903t_unit @ SV61 ) )
= $true )
| ( ( SV32 != SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(454,plain,
! [SV62: list_c1059388851t_unit,SV33: list_c1059388851t_unit] :
( ( ( ~ ! [SY172: nat] :
( ~ ( ord_less_nat @ SY172 @ ( size_s1406904903t_unit @ SV33 ) )
| ( ( nth_co1649820636t_unit @ SV33 @ SY172 )
= ( nth_co1649820636t_unit @ SV62 @ SY172 ) ) ) )
= $true )
| ( ( SV33 = SV62 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV33 )
= ( size_s1406904903t_unit @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(455,plain,
! [SV3: nat] :
( ( ( ( one_one_nat != SV3 )
| ( SV3 != one_one_nat ) )
= $false )
| ( ( one_one_nat = SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(456,plain,
! [SV3: nat] :
( ( ( ( one_one_nat != SV3 )
| ( SV3 != one_one_nat ) )
= $false )
| ( ( SV3 = one_one_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(457,plain,
! [SV48: list_c1059388851t_unit,SV17: list_c1059388851t_unit] :
( ( ( SV17 = SV48 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV17 )
= ( size_s1406904903t_unit @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(458,plain,
! [SV19: list_c1059388851t_unit > $o,SV49: list_c1059388851t_unit] :
( ( ( ~ ! [SY175: list_c1059388851t_unit] :
( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SY175 ) @ ( size_s1406904903t_unit @ ( sK2_SY116 @ SV49 @ SV19 ) ) )
| ( SV19 @ SY175 ) ) )
= $false )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(459,plain,
! [SV49: list_c1059388851t_unit,SV19: list_c1059388851t_unit > $o] :
( ( ( SV19 @ ( sK2_SY116 @ SV49 @ SV19 ) )
= $false )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(460,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(461,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(462,plain,
! [SV53: nat,SV73: nat,SV23: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV23 @ SV73 ) )
= $true )
| ( ( ( minus_minus_nat @ ( minus_minus_nat @ SV53 @ SV23 ) @ ( minus_minus_nat @ SV73 @ SV23 ) )
= ( minus_minus_nat @ SV53 @ SV73 ) )
= $true )
| ( ( ord_less_eq_nat @ SV23 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(463,plain,
! [SV54: nat,SV74: nat,SV24: nat] :
( ( ( ~ ( ord_less_nat @ SV24 @ SV74 ) )
= $true )
| ( ( ord_less_nat @ ( minus_minus_nat @ SV74 @ SV54 ) @ ( minus_minus_nat @ SV74 @ SV24 ) )
= $true )
| ( ( ord_less_nat @ SV24 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(464,plain,
! [SV25: nat,SV55: nat,SV75: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV75 @ SV55 ) )
= $true )
| ( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= ( ord_less_eq_nat @ SV75 @ SV25 ) )
= $true )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(465,plain,
! [SV56: nat,SV76: nat,SV26: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV26 @ SV76 ) )
= $true )
| ( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= ( ord_less_eq_nat @ SV56 @ SV76 ) )
= $true )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(466,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ( ( SV59 = SV81 )
| ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(467,plain,
! [SV60: nat,SV80: nat,SV31: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV31 @ SV80 ) )
= $true )
| ( ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= ( SV60 = SV80 ) )
= $true )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(468,plain,
! [SV61: list_c1059388851t_unit,SV32: list_c1059388851t_unit] :
( ( ( SV32 = SV61 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV32 )
= ( size_s1406904903t_unit @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(469,plain,
! [SV62: list_c1059388851t_unit,SV33: list_c1059388851t_unit] :
( ( ( ! [SY172: nat] :
( ~ ( ord_less_nat @ SY172 @ ( size_s1406904903t_unit @ SV33 ) )
| ( ( nth_co1649820636t_unit @ SV33 @ SY172 )
= ( nth_co1649820636t_unit @ SV62 @ SY172 ) ) ) )
= $false )
| ( ( SV33 = SV62 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV33 )
= ( size_s1406904903t_unit @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(470,plain,
! [SV3: nat] :
( ( ( one_one_nat != SV3 )
= $false )
| ( ( one_one_nat = SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(471,plain,
! [SV3: nat] :
( ( ( SV3 != one_one_nat )
= $false )
| ( ( one_one_nat = SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(472,plain,
! [SV3: nat] :
( ( ( one_one_nat != SV3 )
= $false )
| ( ( SV3 = one_one_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(473,plain,
! [SV3: nat] :
( ( ( SV3 != one_one_nat )
= $false )
| ( ( SV3 = one_one_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(474,plain,
! [SV19: list_c1059388851t_unit > $o,SV49: list_c1059388851t_unit] :
( ( ( ! [SY175: list_c1059388851t_unit] :
( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SY175 ) @ ( size_s1406904903t_unit @ ( sK2_SY116 @ SV49 @ SV19 ) ) )
| ( SV19 @ SY175 ) ) )
= $true )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(475,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
| ~ ! [SY176: config256849571t_unit] :
~ ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SY176 ) )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[460]) ).
thf(476,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(477,plain,
! [SV53: nat,SV73: nat,SV23: nat] :
( ( ( ord_less_eq_nat @ SV23 @ SV73 )
= $false )
| ( ( ( minus_minus_nat @ ( minus_minus_nat @ SV53 @ SV23 ) @ ( minus_minus_nat @ SV73 @ SV23 ) )
= ( minus_minus_nat @ SV53 @ SV73 ) )
= $true )
| ( ( ord_less_eq_nat @ SV23 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(478,plain,
! [SV54: nat,SV74: nat,SV24: nat] :
( ( ( ord_less_nat @ SV24 @ SV74 )
= $false )
| ( ( ord_less_nat @ ( minus_minus_nat @ SV74 @ SV54 ) @ ( minus_minus_nat @ SV74 @ SV24 ) )
= $true )
| ( ( ord_less_nat @ SV24 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(479,plain,
! [SV25: nat,SV55: nat,SV75: nat] :
( ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= ( ord_less_eq_nat @ SV75 @ SV25 ) )
= $true )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(480,plain,
! [SV56: nat,SV76: nat,SV26: nat] :
( ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= ( ord_less_eq_nat @ SV56 @ SV76 ) )
= $true )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(481,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( SV59 = SV81 )
| ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $false )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(482,plain,
! [SV60: nat,SV80: nat,SV31: nat] :
( ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= ( SV60 = SV80 ) )
= $true )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(483,plain,
! [SV33: list_c1059388851t_unit,SV62: list_c1059388851t_unit] :
( ( ( ~ ( ord_less_nat @ ( sK4_SY172 @ SV62 @ SV33 ) @ ( size_s1406904903t_unit @ SV33 ) )
| ( ( nth_co1649820636t_unit @ SV33 @ ( sK4_SY172 @ SV62 @ SV33 ) )
= ( nth_co1649820636t_unit @ SV62 @ ( sK4_SY172 @ SV62 @ SV33 ) ) ) )
= $false )
| ( ( SV33 = SV62 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV33 )
= ( size_s1406904903t_unit @ SV62 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[469]) ).
thf(484,plain,
! [SV3: nat] :
( ( ( one_one_nat = SV3 )
= $true )
| ( ( one_one_nat = SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(485,plain,
! [SV3: nat] :
( ( ( SV3 = one_one_nat )
= $true )
| ( ( one_one_nat = SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(486,plain,
! [SV3: nat] :
( ( ( one_one_nat = SV3 )
= $true )
| ( ( SV3 = one_one_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(487,plain,
! [SV3: nat] :
( ( ( SV3 = one_one_nat )
= $true )
| ( ( SV3 = one_one_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(488,plain,
! [SV19: list_c1059388851t_unit > $o,SV49: list_c1059388851t_unit,SV82: list_c1059388851t_unit] :
( ( ( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SV82 ) @ ( size_s1406904903t_unit @ ( sK2_SY116 @ SV49 @ SV19 ) ) )
| ( SV19 @ SV82 ) )
= $true )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(489,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 ) )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(490,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ! [SY176: config256849571t_unit] :
~ ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SY176 ) )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(491,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV83: list_c1059388851t_unit] :
( ( ( ~ ~ ( ( ( size_s1406904903t_unit @ SV83 )
!= SV20 )
| ~ ! [SY177: nat] :
( ~ ( ord_less_nat @ SY177 @ SV20 )
| ( SV50 @ SY177 @ ( nth_co1649820636t_unit @ SV83 @ SY177 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(492,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ~ ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ( ord_less_eq_nat @ SV75 @ SV25 ) )
| ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ~ ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(493,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= ( ord_less_eq_nat @ SV75 @ SV25 ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(494,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ~ ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ( ord_less_eq_nat @ SV56 @ SV76 ) )
| ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ~ ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[480]) ).
thf(495,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= ( ord_less_eq_nat @ SV56 @ SV76 ) )
= $true )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[480]) ).
thf(496,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 = SV81 )
= $false )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(497,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $false )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(498,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ~ ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 = SV80 ) )
| ~ ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 != SV80 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(499,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= ( SV60 = SV80 ) )
= $true )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(500,plain,
! [SV33: list_c1059388851t_unit,SV62: list_c1059388851t_unit] :
( ( ( ~ ( ord_less_nat @ ( sK4_SY172 @ SV62 @ SV33 ) @ ( size_s1406904903t_unit @ SV33 ) ) )
= $false )
| ( ( SV33 = SV62 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV33 )
= ( size_s1406904903t_unit @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(501,plain,
! [SV62: list_c1059388851t_unit,SV33: list_c1059388851t_unit] :
( ( ( ( nth_co1649820636t_unit @ SV33 @ ( sK4_SY172 @ SV62 @ SV33 ) )
= ( nth_co1649820636t_unit @ SV62 @ ( sK4_SY172 @ SV62 @ SV33 ) ) )
= $false )
| ( ( SV33 = SV62 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV33 )
= ( size_s1406904903t_unit @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(502,plain,
! [SV19: list_c1059388851t_unit > $o,SV49: list_c1059388851t_unit,SV82: list_c1059388851t_unit] :
( ( ( ~ ( ord_less_nat @ ( size_s1406904903t_unit @ SV82 ) @ ( size_s1406904903t_unit @ ( sK2_SY116 @ SV49 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ SV82 )
= $true )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(503,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(504,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ! [SY176: config256849571t_unit] :
~ ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SY176 ) )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(505,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV83: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ SV83 )
!= SV20 )
| ~ ! [SY177: nat] :
( ~ ( ord_less_nat @ SY177 @ SV20 )
| ( SV50 @ SY177 @ ( nth_co1649820636t_unit @ SV83 @ SY177 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(506,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ~ ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ~ ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(507,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ~ ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ~ ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(508,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $false )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(509,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $true )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(510,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ~ ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 = SV80 ) ) )
= $true )
| ( ( ~ ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 != SV80 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(511,plain,
! [SV33: list_c1059388851t_unit,SV62: list_c1059388851t_unit] :
( ( ( ord_less_nat @ ( sK4_SY172 @ SV62 @ SV33 ) @ ( size_s1406904903t_unit @ SV33 ) )
= $true )
| ( ( SV33 = SV62 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV33 )
= ( size_s1406904903t_unit @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(512,plain,
! [SV19: list_c1059388851t_unit > $o,SV49: list_c1059388851t_unit,SV82: list_c1059388851t_unit] :
( ( ( ord_less_nat @ ( size_s1406904903t_unit @ SV82 ) @ ( size_s1406904903t_unit @ ( sK2_SY116 @ SV49 @ SV19 ) ) )
= $false )
| ( ( SV19 @ SV82 )
= $true )
| ( ( SV19 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(513,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(514,plain,
! [SV84: config256849571t_unit,SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 ) )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(515,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV83: list_c1059388851t_unit] :
( ( ( ( ( size_s1406904903t_unit @ SV83 )
!= SV20 )
| ~ ! [SY177: nat] :
( ~ ( ord_less_nat @ SY177 @ SV20 )
| ( SV50 @ SY177 @ ( nth_co1649820636t_unit @ SV83 @ SY177 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(516,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ( ord_less_eq_nat @ SV75 @ SV25 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ~ ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(517,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ( ord_less_eq_nat @ SV56 @ SV76 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ~ ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(518,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 != SV81 )
= $false )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(519,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $false )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(520,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
= $true )
| ( ( ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $true )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(521,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 = SV80 ) )
= $false )
| ( ( ~ ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 != SV80 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(522,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(523,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(524,plain,
! [SV84: config256849571t_unit,SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(525,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV83: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV83 )
!= SV20 )
= $true )
| ( ( ~ ! [SY177: nat] :
( ~ ( ord_less_nat @ SY177 @ SV20 )
| ( SV50 @ SY177 @ ( nth_co1649820636t_unit @ SV83 @ SY177 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(526,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ~ ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(527,plain,
! [SV55: nat,SV25: nat,SV75: nat] :
( ( ( ord_less_eq_nat @ SV75 @ SV25 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ~ ( ord_less_eq_nat @ SV75 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(528,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ~ ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(529,plain,
! [SV26: nat,SV76: nat,SV56: nat] :
( ( ( ord_less_eq_nat @ SV56 @ SV76 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ~ ( ord_less_eq_nat @ SV56 @ SV76 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(530,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 = SV81 )
= $true )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(531,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $true )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(532,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $true )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(533,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= $false )
| ( ( ~ ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 != SV80 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(534,plain,
! [SV31: nat,SV80: nat,SV60: nat] :
( ( ( SV60 = SV80 )
= $false )
| ( ( ~ ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 != SV80 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(535,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(536,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(537,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(538,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV83: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ~ ! [SY177: nat] :
( ~ ( ord_less_nat @ SY177 @ SV20 )
| ( SV50 @ SY177 @ ( nth_co1649820636t_unit @ SV83 @ SY177 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(539,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ~ ( ord_less_eq_nat @ SV75 @ SV25 ) )
= $false )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(540,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
| ~ ( ord_less_eq_nat @ SV75 @ SV25 ) )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV25 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(541,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ~ ( ord_less_eq_nat @ SV56 @ SV76 ) )
= $false )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(542,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
| ~ ( ord_less_eq_nat @ SV56 @ SV76 ) )
= $false )
| ( ( ord_less_eq_nat @ SV56 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(543,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $false )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(544,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(545,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 != SV80 ) )
= $false )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(546,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
| ( SV60 != SV80 ) )
= $false )
| ( ( SV60 = SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(547,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV85: nat] :
( ( ( ~ ( ord_less_nat @ SV85 @ SV20 )
| ~ ! [SY178: config256849571t_unit] :
~ ( SV50 @ SV85 @ SY178 ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(548,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(549,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(550,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(551,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY177: nat] :
( ~ ( ord_less_nat @ SY177 @ SV20 )
| ( SV50 @ SY177 @ ( nth_co1649820636t_unit @ SV83 @ SY177 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(552,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(553,plain,
! [SV55: nat,SV25: nat,SV75: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV75 @ SV25 ) )
= $false )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(554,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV25 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(555,plain,
! [SV55: nat,SV25: nat,SV75: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV75 @ SV25 ) )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV25 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(556,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(557,plain,
! [SV26: nat,SV76: nat,SV56: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV56 @ SV76 ) )
= $false )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(558,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV56 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(559,plain,
! [SV26: nat,SV76: nat,SV56: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV56 @ SV76 ) )
= $false )
| ( ( ord_less_eq_nat @ SV56 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(560,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(561,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $false )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(562,plain,
! [SV59: list_c1059388851t_unit,SV81: list_c1059388851t_unit] :
( ( ( ~ ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[544]) ).
thf(563,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
= $false )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(564,plain,
! [SV31: nat,SV80: nat,SV60: nat] :
( ( ( SV60 != SV80 )
= $false )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(565,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( minus_minus_nat @ SV60 @ SV31 )
!= ( minus_minus_nat @ SV80 @ SV31 ) )
= $false )
| ( ( SV60 = SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[546]) ).
thf(566,plain,
! [SV31: nat,SV80: nat,SV60: nat] :
( ( ( SV60 != SV80 )
= $false )
| ( ( SV60 = SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[546]) ).
thf(567,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV85: nat] :
( ( ( ~ ( ord_less_nat @ SV85 @ SV20 ) )
= $true )
| ( ( ~ ! [SY178: config256849571t_unit] :
~ ( SV50 @ SV85 @ SY178 ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(568,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ~ ( ( ( size_s1406904903t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY179: nat] :
( ~ ( ord_less_nat @ SY179 @ SV20 )
| ( SV50 @ SY179 @ ( nth_co1649820636t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) @ SY179 ) ) ) ) )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[548]) ).
thf(569,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(570,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(571,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ~ ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
| ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[551]) ).
thf(572,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= $true )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(573,plain,
! [SV55: nat,SV25: nat,SV75: nat] :
( ( ( ord_less_eq_nat @ SV75 @ SV25 )
= $true )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(574,plain,
! [SV75: nat,SV25: nat,SV55: nat] :
( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV55 @ SV25 ) @ ( minus_minus_nat @ SV55 @ SV75 ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV25 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(575,plain,
! [SV55: nat,SV25: nat,SV75: nat] :
( ( ( ord_less_eq_nat @ SV75 @ SV25 )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV25 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV55 )
= $false )
| ( ( ord_less_eq_nat @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(576,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= $true )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(577,plain,
! [SV26: nat,SV76: nat,SV56: nat] :
( ( ( ord_less_eq_nat @ SV56 @ SV76 )
= $true )
| ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(578,plain,
! [SV76: nat,SV26: nat,SV56: nat] :
( ( ( ord_less_eq_nat @ ( minus_minus_nat @ SV56 @ SV26 ) @ ( minus_minus_nat @ SV76 @ SV26 ) )
= $true )
| ( ( ord_less_eq_nat @ SV56 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(579,plain,
! [SV26: nat,SV76: nat,SV56: nat] :
( ( ( ord_less_eq_nat @ SV56 @ SV76 )
= $true )
| ( ( ord_less_eq_nat @ SV56 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV76 )
= $false )
| ( ( ord_less_eq_nat @ SV26 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(580,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $true )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(581,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $true )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(582,plain,
! [SV59: list_c1059388851t_unit,SV81: list_c1059388851t_unit] :
( ( ( ~ ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(583,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(584,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= $true )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(585,plain,
! [SV31: nat,SV80: nat,SV60: nat] :
( ( ( SV60 = SV80 )
= $true )
| ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(586,plain,
! [SV80: nat,SV31: nat,SV60: nat] :
( ( ( ( minus_minus_nat @ SV60 @ SV31 )
= ( minus_minus_nat @ SV80 @ SV31 ) )
= $true )
| ( ( SV60 = SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(587,plain,
! [SV31: nat,SV80: nat,SV60: nat] :
( ( ( SV60 = SV80 )
= $true )
| ( ( SV60 = SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV80 )
= $false )
| ( ( ord_less_eq_nat @ SV31 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(588,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV85: nat] :
( ( ( ord_less_nat @ SV85 @ SV20 )
= $false )
| ( ( ~ ! [SY178: config256849571t_unit] :
~ ( SV50 @ SV85 @ SY178 ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(589,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY179: nat] :
( ~ ( ord_less_nat @ SY179 @ SV20 )
| ( SV50 @ SY179 @ ( nth_co1649820636t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) @ SY179 ) ) ) ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(590,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV86: nat] :
( ( ( ~ ( ord_less_nat @ SV86 @ SV20 )
| ~ ! [SY180: config256849571t_unit] :
~ ( SV50 @ SV86 @ SY180 ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(591,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(592,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ~ ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(593,plain,
! [SV20: nat,SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o] :
( ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(594,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV87: nat] :
( ( ( ~ ( ord_less_nat @ SV87 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SV87 )
= ( nth_co1649820636t_unit @ SV81 @ SV87 ) ) )
= $true )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(595,plain,
! [SV59: list_c1059388851t_unit,SV81: list_c1059388851t_unit] :
( ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ~ ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(596,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(597,plain,
! [SV20: nat,SV85: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ! [SY178: config256849571t_unit] :
~ ( SV50 @ SV85 @ SY178 ) )
= $false )
| ( ( ord_less_nat @ SV85 @ SV20 )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(598,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ( ( size_s1406904903t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY179: nat] :
( ~ ( ord_less_nat @ SY179 @ SV20 )
| ( SV50 @ SY179 @ ( nth_co1649820636t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) @ SY179 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(599,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV86: nat] :
( ( ( ~ ( ord_less_nat @ SV86 @ SV20 ) )
= $true )
| ( ( ~ ! [SY180: config256849571t_unit] :
~ ( SV50 @ SV86 @ SY180 ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(600,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV84: config256849571t_unit] :
( ( ( ~ ~ ( ( ( size_s1406904903t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY181: nat] :
( ~ ( ord_less_nat @ SY181 @ SV20 )
| ( SV50 @ SY181 @ ( nth_co1649820636t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) @ SY181 ) ) ) ) )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[591]) ).
thf(601,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ~ ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(602,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(603,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV87: nat] :
( ( ( ~ ( ord_less_nat @ SV87 @ ( size_s1406904903t_unit @ SV59 ) ) )
= $true )
| ( ( ( nth_co1649820636t_unit @ SV59 @ SV87 )
= ( nth_co1649820636t_unit @ SV81 @ SV87 ) )
= $true )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(604,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( SV59 != SV81 )
| ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(605,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 != SV81 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(606,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(607,plain,
! [SV20: nat,SV85: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ( SV50 @ SV85 @ ( sK9_SY178 @ SV20 @ SV85 @ SV50 ) ) )
= $false )
| ( ( ord_less_nat @ SV85 @ SV20 )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[597]) ).
thf(608,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ( size_s1406904903t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) )
!= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(609,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY179: nat] :
( ~ ( ord_less_nat @ SY179 @ SV20 )
| ( SV50 @ SY179 @ ( nth_co1649820636t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) @ SY179 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(610,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV86: nat] :
( ( ( ord_less_nat @ SV86 @ SV20 )
= $false )
| ( ( ~ ! [SY180: config256849571t_unit] :
~ ( SV50 @ SV86 @ SY180 ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(611,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV84: config256849571t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY181: nat] :
( ~ ( ord_less_nat @ SY181 @ SV20 )
| ( SV50 @ SY181 @ ( nth_co1649820636t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) @ SY181 ) ) ) ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(612,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) )
| ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(613,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(614,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(615,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV87: nat] :
( ( ( ord_less_nat @ SV87 @ ( size_s1406904903t_unit @ SV59 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ SV87 )
= ( nth_co1649820636t_unit @ SV81 @ SV87 ) )
= $true )
| ( ( SV59 = SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(616,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 != SV81 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(617,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(618,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 = SV81 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(619,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(620,plain,
! [SV20: nat,SV85: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( SV50 @ SV85 @ ( sK9_SY178 @ SV20 @ SV85 @ SV50 ) )
= $true )
| ( ( ord_less_nat @ SV85 @ SV20 )
= $false )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(621,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ( size_s1406904903t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) )
= SV20 )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(622,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY179: nat] :
( ~ ( ord_less_nat @ SY179 @ SV20 )
| ( SV50 @ SY179 @ ( nth_co1649820636t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) @ SY179 ) ) ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(623,plain,
! [SV84: config256849571t_unit,SV20: nat,SV86: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ! [SY180: config256849571t_unit] :
~ ( SV50 @ SV86 @ SY180 ) )
= $false )
| ( ( ord_less_nat @ SV86 @ SV20 )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(624,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV84: config256849571t_unit] :
( ( ( ( ( size_s1406904903t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY181: nat] :
( ~ ( ord_less_nat @ SY181 @ SV20 )
| ( SV50 @ SY181 @ ( nth_co1649820636t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) @ SY181 ) ) ) )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(625,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(626,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(627,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(628,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(629,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( SV59 = SV81 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(630,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(631,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(632,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV88: nat] :
( ( ( ~ ( ord_less_nat @ SV88 @ SV20 )
| ( SV50 @ SV88 @ ( nth_co1649820636t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) @ SV88 ) ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(633,plain,
! [SV20: nat,SV84: config256849571t_unit,SV86: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ( SV50 @ SV86 @ ( sK10_SY180 @ SV84 @ SV20 @ SV86 @ SV50 ) ) )
= $false )
| ( ( ord_less_nat @ SV86 @ SV20 )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[623]) ).
thf(634,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV84: config256849571t_unit] :
( ( ( ( size_s1406904903t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) )
!= SV20 )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(635,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY181: nat] :
( ~ ( ord_less_nat @ SY181 @ SV20 )
| ( SV50 @ SY181 @ ( nth_co1649820636t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) @ SY181 ) ) ) )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(636,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY157: nat] :
( ~ ( ord_less_nat @ SY157 @ SV20 )
| ~ ! [SY158: config256849571t_unit] :
~ ( SV50 @ SY157 @ SY158 ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(637,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(638,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV89: nat] :
( ( ( ~ ( ord_less_nat @ SV89 @ SV20 )
| ~ ! [SY182: config256849571t_unit] :
~ ( SV50 @ SV89 @ SY182 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(639,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(640,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
| ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(641,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(642,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(643,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV88: nat] :
( ( ( ~ ( ord_less_nat @ SV88 @ SV20 ) )
= $true )
| ( ( SV50 @ SV88 @ ( nth_co1649820636t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) @ SV88 ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(644,plain,
! [SV20: nat,SV84: config256849571t_unit,SV86: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( SV50 @ SV86 @ ( sK10_SY180 @ SV84 @ SV20 @ SV86 @ SV50 ) )
= $true )
| ( ( ord_less_nat @ SV86 @ SV20 )
= $false )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(645,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV84: config256849571t_unit] :
( ( ( ( size_s1406904903t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) )
= SV20 )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(646,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY181: nat] :
( ~ ( ord_less_nat @ SY181 @ SV20 )
| ( SV50 @ SY181 @ ( nth_co1649820636t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) @ SY181 ) ) ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(647,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV90: nat] :
( ( ( ~ ( ord_less_nat @ SV90 @ SV20 )
| ~ ! [SY183: config256849571t_unit] :
~ ( SV50 @ SV90 @ SY183 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(648,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY159: list_c1059388851t_unit] :
~ ~ ( ( ( size_s1406904903t_unit @ SY159 )
!= SV20 )
| ~ ! [SY160: nat] :
( ~ ( ord_less_nat @ SY160 @ SV20 )
| ( SV50 @ SY160 @ ( nth_co1649820636t_unit @ SY159 @ SY160 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(649,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV89: nat] :
( ( ( ~ ( ord_less_nat @ SV89 @ SV20 ) )
= $true )
| ( ( ~ ! [SY182: config256849571t_unit] :
~ ( SV50 @ SV89 @ SY182 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(650,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ~ ~ ( ( ( size_s1406904903t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY184: nat] :
( ~ ( ord_less_nat @ SY184 @ SV20 )
| ( SV50 @ SY184 @ ( nth_co1649820636t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) @ SY184 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[639]) ).
thf(651,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV59 )
!= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(652,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ~ ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(653,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(654,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(655,plain,
! [SV50: nat > config256849571t_unit > $o,SV20: nat,SV88: nat] :
( ( ( ord_less_nat @ SV88 @ SV20 )
= $false )
| ( ( SV50 @ SV88 @ ( nth_co1649820636t_unit @ ( sK6_SY159 @ SV50 @ SV20 ) @ SV88 ) )
= $true )
| ( ( ord_less_nat @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(656,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV91: nat] :
( ( ( ~ ( ord_less_nat @ SV91 @ SV20 )
| ( SV50 @ SV91 @ ( nth_co1649820636t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) @ SV91 ) ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(657,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV90: nat] :
( ( ( ~ ( ord_less_nat @ SV90 @ SV20 ) )
= $true )
| ( ( ~ ! [SY183: config256849571t_unit] :
~ ( SV50 @ SV90 @ SY183 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(658,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ~ ~ ( ( ( size_s1406904903t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY185: nat] :
( ~ ( ord_less_nat @ SY185 @ SV20 )
| ( SV50 @ SY185 @ ( nth_co1649820636t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) @ SY185 ) ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[648]) ).
thf(659,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV89: nat] :
( ( ( ord_less_nat @ SV89 @ SV20 )
= $false )
| ( ( ~ ! [SY182: config256849571t_unit] :
~ ( SV50 @ SV89 @ SY182 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(660,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY184: nat] :
( ~ ( ord_less_nat @ SY184 @ SV20 )
| ( SV50 @ SY184 @ ( nth_co1649820636t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) @ SY184 ) ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(661,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(662,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit] :
( ( ( ! [SY174: nat] :
( ~ ( ord_less_nat @ SY174 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SY174 )
= ( nth_co1649820636t_unit @ SV81 @ SY174 ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(663,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV92: nat] :
( ( ( ~ ( ord_less_nat @ SV92 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SV92 )
= ( nth_co1649820636t_unit @ SV81 @ SV92 ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(664,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV91: nat] :
( ( ( ~ ( ord_less_nat @ SV91 @ SV20 ) )
= $true )
| ( ( SV50 @ SV91 @ ( nth_co1649820636t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) @ SV91 ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(665,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV90: nat] :
( ( ( ord_less_nat @ SV90 @ SV20 )
= $false )
| ( ( ~ ! [SY183: config256849571t_unit] :
~ ( SV50 @ SV90 @ SY183 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(666,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ~ ( ( ( size_s1406904903t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY185: nat] :
( ~ ( ord_less_nat @ SY185 @ SV20 )
| ( SV50 @ SY185 @ ( nth_co1649820636t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) @ SY185 ) ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(667,plain,
! [SV83: list_c1059388851t_unit,SV20: nat,SV89: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ! [SY182: config256849571t_unit] :
~ ( SV50 @ SV89 @ SY182 ) )
= $false )
| ( ( ord_less_nat @ SV89 @ SV20 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(668,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ( ( size_s1406904903t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY184: nat] :
( ~ ( ord_less_nat @ SY184 @ SV20 )
| ( SV50 @ SY184 @ ( nth_co1649820636t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) @ SY184 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(669,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV93: nat] :
( ( ( ~ ( ord_less_nat @ SV93 @ ( size_s1406904903t_unit @ SV59 ) )
| ( ( nth_co1649820636t_unit @ SV59 @ SV93 )
= ( nth_co1649820636t_unit @ SV81 @ SV93 ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(670,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV92: nat] :
( ( ( ~ ( ord_less_nat @ SV92 @ ( size_s1406904903t_unit @ SV59 ) ) )
= $true )
| ( ( ( nth_co1649820636t_unit @ SV59 @ SV92 )
= ( nth_co1649820636t_unit @ SV81 @ SV92 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(671,plain,
! [SV84: config256849571t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV91: nat] :
( ( ( ord_less_nat @ SV91 @ SV20 )
= $false )
| ( ( SV50 @ SV91 @ ( nth_co1649820636t_unit @ ( sK8_SY159 @ SV84 @ SV50 @ SV20 ) @ SV91 ) )
= $true )
| ( ( SV50 @ ( sK3_SY157 @ SV50 @ SV20 ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(672,plain,
! [SV83: list_c1059388851t_unit,SV20: nat,SV90: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ! [SY183: config256849571t_unit] :
~ ( SV50 @ SV90 @ SY183 ) )
= $false )
| ( ( ord_less_nat @ SV90 @ SV20 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(673,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ( ( size_s1406904903t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) )
!= SV20 )
| ~ ! [SY185: nat] :
( ~ ( ord_less_nat @ SY185 @ SV20 )
| ( SV50 @ SY185 @ ( nth_co1649820636t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) @ SY185 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(674,plain,
! [SV20: nat,SV83: list_c1059388851t_unit,SV89: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ( SV50 @ SV89 @ ( sK13_SY182 @ SV83 @ SV20 @ SV89 @ SV50 ) ) )
= $false )
| ( ( ord_less_nat @ SV89 @ SV20 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[667]) ).
thf(675,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) )
!= SV20 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(676,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY184: nat] :
( ~ ( ord_less_nat @ SY184 @ SV20 )
| ( SV50 @ SY184 @ ( nth_co1649820636t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) @ SY184 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(677,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV93: nat] :
( ( ( ~ ( ord_less_nat @ SV93 @ ( size_s1406904903t_unit @ SV59 ) ) )
= $true )
| ( ( ( nth_co1649820636t_unit @ SV59 @ SV93 )
= ( nth_co1649820636t_unit @ SV81 @ SV93 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(678,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV92: nat] :
( ( ( ord_less_nat @ SV92 @ ( size_s1406904903t_unit @ SV59 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ SV92 )
= ( nth_co1649820636t_unit @ SV81 @ SV92 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ ( sK5_SY174 @ SV81 @ SV59 ) )
= ( nth_co1649820636t_unit @ SV81 @ ( sK5_SY174 @ SV81 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(679,plain,
! [SV20: nat,SV83: list_c1059388851t_unit,SV90: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( ~ ( SV50 @ SV90 @ ( sK14_SY183 @ SV83 @ SV20 @ SV90 @ SV50 ) ) )
= $false )
| ( ( ord_less_nat @ SV90 @ SV20 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[672]) ).
thf(680,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) )
!= SV20 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(681,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ~ ! [SY185: nat] :
( ~ ( ord_less_nat @ SY185 @ SV20 )
| ( SV50 @ SY185 @ ( nth_co1649820636t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) @ SY185 ) ) ) )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(682,plain,
! [SV20: nat,SV83: list_c1059388851t_unit,SV89: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( SV50 @ SV89 @ ( sK13_SY182 @ SV83 @ SV20 @ SV89 @ SV50 ) )
= $true )
| ( ( ord_less_nat @ SV89 @ SV20 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(683,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) )
= SV20 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(684,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY184: nat] :
( ~ ( ord_less_nat @ SY184 @ SV20 )
| ( SV50 @ SY184 @ ( nth_co1649820636t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) @ SY184 ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(685,plain,
! [SV81: list_c1059388851t_unit,SV59: list_c1059388851t_unit,SV93: nat] :
( ( ( ord_less_nat @ SV93 @ ( size_s1406904903t_unit @ SV59 ) )
= $false )
| ( ( ( nth_co1649820636t_unit @ SV59 @ SV93 )
= ( nth_co1649820636t_unit @ SV81 @ SV93 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV59 )
= ( size_s1406904903t_unit @ SV81 ) )
= $false )
| ( ( ord_less_nat @ ( sK5_SY174 @ SV81 @ SV59 ) @ ( size_s1406904903t_unit @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(686,plain,
! [SV20: nat,SV83: list_c1059388851t_unit,SV90: nat,SV50: nat > config256849571t_unit > $o] :
( ( ( SV50 @ SV90 @ ( sK14_SY183 @ SV83 @ SV20 @ SV90 @ SV50 ) )
= $true )
| ( ( ord_less_nat @ SV90 @ SV20 )
= $false )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(687,plain,
! [SV20: nat,SV50: nat > config256849571t_unit > $o,SV83: list_c1059388851t_unit] :
( ( ( ( size_s1406904903t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) )
= SV20 )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(688,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat] :
( ( ( ! [SY185: nat] :
( ~ ( ord_less_nat @ SY185 @ SV20 )
| ( SV50 @ SY185 @ ( nth_co1649820636t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) @ SY185 ) ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(689,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV94: nat] :
( ( ( ~ ( ord_less_nat @ SV94 @ SV20 )
| ( SV50 @ SV94 @ ( nth_co1649820636t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) @ SV94 ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(690,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV95: nat] :
( ( ( ~ ( ord_less_nat @ SV95 @ SV20 )
| ( SV50 @ SV95 @ ( nth_co1649820636t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) @ SV95 ) ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(691,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV94: nat] :
( ( ( ~ ( ord_less_nat @ SV94 @ SV20 ) )
= $true )
| ( ( SV50 @ SV94 @ ( nth_co1649820636t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) @ SV94 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(692,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV95: nat] :
( ( ( ~ ( ord_less_nat @ SV95 @ SV20 ) )
= $true )
| ( ( SV50 @ SV95 @ ( nth_co1649820636t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) @ SV95 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(693,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV94: nat] :
( ( ( ord_less_nat @ SV94 @ SV20 )
= $false )
| ( ( SV50 @ SV94 @ ( nth_co1649820636t_unit @ ( sK11_SY159 @ SV83 @ SV50 @ SV20 ) @ SV94 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( SV50 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ ( nth_co1649820636t_unit @ SV83 @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(694,plain,
! [SV83: list_c1059388851t_unit,SV50: nat > config256849571t_unit > $o,SV20: nat,SV95: nat] :
( ( ( ord_less_nat @ SV95 @ SV20 )
= $false )
| ( ( SV50 @ SV95 @ ( nth_co1649820636t_unit @ ( sK12_SY159 @ SV83 @ SV50 @ SV20 ) @ SV95 ) )
= $true )
| ( ( ( size_s1406904903t_unit @ SV83 )
= SV20 )
= $false )
| ( ( ord_less_nat @ ( sK7_SY177 @ SV83 @ SV50 @ SV20 ) @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(695,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[259,694,693,687,686,685,683,682,678,671,661,655,653,645,644,629,621,620,618,615,587,586,585,584,580,579,578,577,576,575,574,573,572,530,512,511,501,499,495,493,487,486,485,484,478,477,468,459,457,451,449,448,443,439,430,425,421,418,413,402,395,394,393,392,391,390,389,387,367,366,361,359,356,354,349,345,331,320,283,261]) ).
thf(696,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[695]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP056^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Oct 6 11:14:52 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.81/1.08 .
% 4.81/1.08
% 4.81/1.08 No.of.Axioms: 38
% 4.81/1.08
% 4.81/1.08 Length.of.Defs: 0
% 4.81/1.08
% 4.81/1.08 Contains.Choice.Funs: false
% 4.81/1.08 ................
% 4.81/1.08
% 4.81/1.08 ********************************
% 4.81/1.08 * All subproblems solved! *
% 4.81/1.08 ********************************
% 4.81/1.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:38,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:695,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.81/1.08
% 4.81/1.08 %**** Beginning of derivation protocol ****
% 4.81/1.08 % SZS output start CNFRefutation
% See solution above
% 4.81/1.08
% 4.81/1.08 %**** End of derivation protocol ****
% 4.81/1.08 %**** no. of clauses in derivation: 520 ****
% 4.81/1.08 %**** clause counter: 695 ****
% 4.81/1.08
% 4.81/1.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:38,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:695,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------