%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR139^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 10:16:12 AM UTC 2026
% Result : Theorem 1.24s 0.55s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 11
% Syntax : Number of formulae : 446 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 3526 (1937 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 3981 ( 467 ~;1142 |; 8 &;2364 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 1136 (1136 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 8 con; 0-2 aty)
% Number of variables : 1720 ( 44 ^;1664 !; 12 ?;1720 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(tp_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_009) ).
thf(2,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).
thf(3,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).
thf(4,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(5,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(6,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(7,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(8,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(9,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(10,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(11,conjecture,
? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R != Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(12,negated_conjecture,
( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R != Q ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R != Q ) ) )
= $false ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(24,plain,
( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R != Q ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,plain,
( ( ! [Q: $i > $i > $o,R: $i > $i > $o] :
( ! [Y: $i] :
( ~ ( Q @ Y @ lAnna_THFTYPE_i )
| ~ ( R @ Y @ lBill_THFTYPE_i ) )
| ( R = Q ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(26,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(28,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(29,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(30,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(31,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(32,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(33,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(34,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(35,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(36,plain,
( ( ! [Q: $i > $i > $o,R: $i > $i > $o] :
( ! [Y: $i] :
( ~ ( Q @ Y @ lAnna_THFTYPE_i )
| ~ ( R @ Y @ lBill_THFTYPE_i ) )
| ( R = Q ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(37,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(38,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(39,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: $i > $i > $o] :
( ( ! [SY3: $i > $i > $o] :
( ! [SY4: $i] :
( ~ ( SV1 @ SY4 @ lAnna_THFTYPE_i )
| ~ ( SY3 @ SY4 @ lBill_THFTYPE_i ) )
| ( SY3 = SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ! [SY5: $i] :
( ~ ( SV1 @ SY5 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SY5 @ lBill_THFTYPE_i ) )
| ( SV2 = SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(42,plain,
! [SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SY5: $i] :
( ~ ( SV1 @ SY5 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SY5 @ lBill_THFTYPE_i ) ) )
= $true )
| ( ( SV2 = SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2 = SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(44,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2 = SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(45,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2 = SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 = SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(47,plain,
! [SV3: $i,SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( ! [SV4: $i] :
( ( SV2 @ SV4 )
= ( SV1 @ SV4 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(48,plain,
! [SV3: $i,SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( SV2 = SV1 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( SV1 @ SV5 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ! [SV6: $i] :
( ( SV2 @ SV5 @ SV6 )
= ( SV1 @ SV5 @ SV6 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[49]) ).
thf(51,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( SV1 @ SV5 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV7 )
= ( SV1 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(53,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV5 @ SV7 )
| ( SV1 @ SV5 @ SV7 ) )
| ~ ( ~ ( SV2 @ SV5 @ SV7 )
| ~ ( SV1 @ SV5 @ SV7 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[52]) ).
thf(54,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV7 )
= ( SV1 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[52]) ).
thf(55,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV5 @ SV7 )
| ( SV1 @ SV5 @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV7 )
| ~ ( SV1 @ SV5 @ SV7 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(56,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV7 )
| ( SV1 @ SV5 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV7 )
| ~ ( SV1 @ SV5 @ SV7 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(57,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV7 )
| ~ ( SV1 @ SV5 @ SV7 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(58,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV7 )
| ~ ( SV1 @ SV5 @ SV7 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(59,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV7 )
| ~ ( SV1 @ SV5 @ SV7 ) )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV7 )
| ~ ( SV1 @ SV5 @ SV7 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV7 ) )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(63,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV7 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(69,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] : $true )
= SV1 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV2,$thf( ^ [SV15: $i] : ^ [SV16: $i] : $true ))]]) ).
thf(71,plain,
! [SV3: $i,SV1: $i > $i > $o,SV12: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] :
~ ( SV12 @ SX0 @ SX1 ) )
= SV1 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV2,$thf( ^ [SV10: $i] : ^ [SV11: $i] : ~ ( SV12 @ SV10 @ SV11 ) ))]]) ).
thf(72,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV1 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV2,$thf( ^ [SY6: $i] : ^ [SY7: $i] : ( SY6 != SY7 ) ))]]) ).
thf(73,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV1 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV2,$thf( ^ [SV9: $i] : ^ [SV8: $i] : ( SV9 = SV8 ) ))]]) ).
thf(74,plain,
! [SV3: $i,SV2: $i > $i > $o] :
( ( ( SV2
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV1,$thf( ^ [SV24: $i] : ^ [SV25: $i] : $true ))]]) ).
thf(76,plain,
! [SV3: $i,SV21: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( SV2
= ( ^ [SX0: $i,SX1: $i] :
~ ( SV21 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV1,$thf( ^ [SV19: $i] : ^ [SV20: $i] : ~ ( SV21 @ SV19 @ SV20 ) ))]]) ).
thf(77,plain,
! [SV3: $i,SV2: $i > $i > $o] :
( ( ( SV2
= ( ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV1,$thf( ^ [SY17: $i] : ^ [SY18: $i] : ( SY17 != SY18 ) ))]]) ).
thf(78,plain,
! [SV3: $i,SV2: $i > $i > $o] :
( ( ( SV2
= ( ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV1,$thf( ^ [SV18: $i] : ^ [SV17: $i] : ( SV18 = SV17 ) ))]]) ).
thf(79,plain,
! [SV3: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ( ^ [SX0: $i] : $true )
= ( SV1 @ SV5 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV2,$thf( ^ [SV15: $i] : ^ [SV16: $i] : $true ))]]) ).
thf(81,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV12: $i > $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV12 @ SV5 @ SX0 ) )
= ( SV1 @ SV5 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV2,$thf( ^ [SV10: $i] : ^ [SV11: $i] : ~ ( SV12 @ SV10 @ SV11 ) ))]]) ).
thf(82,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i] :
( ( ( ( ^ [SX0: $i] : ( SV5 != SX0 ) )
= ( SV1 @ SV5 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV2,$thf( ^ [SY6: $i] : ^ [SY7: $i] : ( SY6 != SY7 ) ))]]) ).
thf(83,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i] :
( ( ( ( ^ [SX0: $i] : ( SV5 = SX0 ) )
= ( SV1 @ SV5 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV2,$thf( ^ [SV9: $i] : ^ [SV8: $i] : ( SV9 = SV8 ) ))]]) ).
thf(84,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SV24: $i] : ^ [SV25: $i] : $true ))]]) ).
thf(86,plain,
! [SV3: $i,SV21: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( ^ [SX0: $i] :
~ ( SV21 @ SV5 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SV19: $i] : ^ [SV20: $i] : ~ ( SV21 @ SV19 @ SV20 ) ))]]) ).
thf(87,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( ^ [SX0: $i] : ( SV5 != SX0 ) ) )
= $true )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SY17: $i] : ^ [SY18: $i] : ( SY17 != SY18 ) ))]]) ).
thf(88,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( ^ [SX0: $i] : ( SV5 = SX0 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SV18: $i] : ^ [SV17: $i] : ( SV18 = SV17 ) ))]]) ).
thf(89,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( $true
= ( SV1 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV2,$thf( ^ [SV15: $i] : ^ [SV16: $i] : $true ))]]) ).
thf(91,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( ( ~ ( SV12 @ SV5 @ SV7 ) )
= ( SV1 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV2,$thf( ^ [SV10: $i] : ^ [SV11: $i] : ~ ( SV12 @ SV10 @ SV11 ) ))]]) ).
thf(92,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( ( SV5 != SV7 )
= ( SV1 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV2,$thf( ^ [SY6: $i] : ^ [SY7: $i] : ( SY6 != SY7 ) ))]]) ).
thf(93,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( ( SV5 = SV7 )
= ( SV1 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV2,$thf( ^ [SV9: $i] : ^ [SV8: $i] : ( SV9 = SV8 ) ))]]) ).
thf(94,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV7 )
= $true )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV1,$thf( ^ [SV24: $i] : ^ [SV25: $i] : $true ))]]) ).
thf(96,plain,
! [SV3: $i,SV21: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV7 )
= ( ~ ( SV21 @ SV5 @ SV7 ) ) )
= $true )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV1,$thf( ^ [SV19: $i] : ^ [SV20: $i] : ~ ( SV21 @ SV19 @ SV20 ) ))]]) ).
thf(97,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV7 )
= ( SV5 != SV7 ) )
= $true )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV1,$thf( ^ [SY17: $i] : ^ [SY18: $i] : ( SY17 != SY18 ) ))]]) ).
thf(98,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV7 )
= ( SV5 = SV7 ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV1,$thf( ^ [SV18: $i] : ^ [SV17: $i] : ( SV18 = SV17 ) ))]]) ).
thf(109,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV2,$thf( ^ [SV15: $i] : ^ [SV16: $i] : $true ))]]) ).
thf(111,plain,
! [SV3: $i,SV12: $i > $i > $o,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( ~ ( SV12 @ SV5 @ SV7 ) )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV2,$thf( ^ [SV10: $i] : ^ [SV11: $i] : ~ ( SV12 @ SV10 @ SV11 ) ))]]) ).
thf(112,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV5 != SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV2,$thf( ^ [SY6: $i] : ^ [SY7: $i] : ( SY6 != SY7 ) ))]]) ).
thf(113,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV5 = SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV2,$thf( ^ [SV9: $i] : ^ [SV8: $i] : ( SV9 = SV8 ) ))]]) ).
thf(116,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV5 @ SV7 ) )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV1,$thf( ^ [SV19: $i] : ^ [SV20: $i] : ~ ( SV21 @ SV19 @ SV20 ) ))]]) ).
thf(117,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 != SV7 )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV1,$thf( ^ [SY17: $i] : ^ [SY18: $i] : ( SY17 != SY18 ) ))]]) ).
thf(118,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV1,$thf( ^ [SV18: $i] : ^ [SV17: $i] : ( SV18 = SV17 ) ))]]) ).
thf(121,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( ~ ( SV12 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV2,$thf( ^ [SV10: $i] : ^ [SV11: $i] : ~ ( SV12 @ SV10 @ SV11 ) ))]]) ).
thf(122,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 != SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV2,$thf( ^ [SY6: $i] : ^ [SY7: $i] : ( SY6 != SY7 ) ))]]) ).
thf(123,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV2,$thf( ^ [SV9: $i] : ^ [SV8: $i] : ( SV9 = SV8 ) ))]]) ).
thf(124,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV1,$thf( ^ [SV24: $i] : ^ [SV25: $i] : $true ))]]) ).
thf(126,plain,
! [SV3: $i,SV21: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( ~ ( SV21 @ SV5 @ SV7 ) )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV1,$thf( ^ [SV19: $i] : ^ [SV20: $i] : ~ ( SV21 @ SV19 @ SV20 ) ))]]) ).
thf(127,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV5 != SV7 )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV1,$thf( ^ [SY17: $i] : ^ [SY18: $i] : ( SY17 != SY18 ) ))]]) ).
thf(128,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV5 = SV7 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV1,$thf( ^ [SV18: $i] : ^ [SV17: $i] : ( SV18 = SV17 ) ))]]) ).
thf(139,plain,
! [SV3: $i,SV1: $i > $i > $o,SV2: $i > $i > $o,SV26: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV26 )
= ( SV1 @ SV26 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[48]) ).
thf(140,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o,SV27: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV27 )
= ( SV1 @ SV5 @ SV27 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[51]) ).
thf(141,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o,SV27: $i] :
( ( ( SV2 @ SV5 @ SV27 )
= $true )
| ( ( SV1 @ SV5 @ SV27 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[140]) ).
thf(142,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o,SV27: $i] :
( ( ( SV2 @ SV5 @ SV27 )
= $false )
| ( ( SV1 @ SV5 @ SV27 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[140]) ).
thf(143,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[54]) ).
thf(144,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[54]) ).
thf(145,plain,
! [SV3: $i,SV1: $i > $i > $o,SV26: $i,SV2: $i > $i > $o] :
( ( ( ! [SV28: $i] :
( ( SV2 @ SV26 @ SV28 )
= ( SV1 @ SV26 @ SV28 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[139]) ).
thf(146,plain,
! [SV3: $i,SV1: $i > $i > $o,SV26: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV26 )
= ( SV1 @ SV26 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[139]) ).
thf(147,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV26 @ SV29 )
= ( SV1 @ SV26 @ SV29 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(148,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV26 @ SV29 )
| ( SV1 @ SV26 @ SV29 ) )
| ~ ( ~ ( SV2 @ SV26 @ SV29 )
| ~ ( SV1 @ SV26 @ SV29 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(149,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV26 @ SV29 )
= ( SV1 @ SV26 @ SV29 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(150,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV26 @ SV29 )
| ( SV1 @ SV26 @ SV29 ) ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV26 @ SV29 )
| ~ ( SV1 @ SV26 @ SV29 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(151,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV26 @ SV29 )
| ( SV1 @ SV26 @ SV29 ) )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV26 @ SV29 )
| ~ ( SV1 @ SV26 @ SV29 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(152,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV26 @ SV29 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV26 @ SV29 )
| ~ ( SV1 @ SV26 @ SV29 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(153,plain,
! [SV3: $i,SV2: $i > $i > $o,SV29: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV26 @ SV29 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV26 @ SV29 )
| ~ ( SV1 @ SV26 @ SV29 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(154,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV26 @ SV29 )
| ~ ( SV1 @ SV26 @ SV29 ) )
= $false )
| ( ( SV2 @ SV26 @ SV29 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(155,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV26 @ SV29 )
| ~ ( SV1 @ SV26 @ SV29 ) )
= $false )
| ( ( SV1 @ SV26 @ SV29 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(157,plain,
! [SV3: $i,SV2: $i > $i > $o,SV29: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV29 ) )
= $false )
| ( ( SV2 @ SV26 @ SV29 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(158,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV26 @ SV29 ) )
= $false )
| ( ( SV1 @ SV26 @ SV29 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(161,plain,
! [SV3: $i,SV2: $i > $i > $o,SV29: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV26 @ SV29 )
= $true )
| ( ( SV2 @ SV26 @ SV29 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(162,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV26 @ SV29 )
= $true )
| ( ( SV1 @ SV26 @ SV29 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(164,plain,
! [SV3: $i,SV1: $i > $i > $o,SV26: $i,SV2: $i > $i > $o,SV30: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV26 @ SV30 )
= ( SV1 @ SV26 @ SV30 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[146]) ).
thf(165,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV26 @ SV29 )
= $true )
| ( ( SV1 @ SV26 @ SV29 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[149]) ).
thf(166,plain,
! [SV3: $i,SV1: $i > $i > $o,SV29: $i,SV26: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV26 @ SV29 )
= $false )
| ( ( SV1 @ SV26 @ SV29 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[149]) ).
thf(167,plain,
! [SV3: $i,SV1: $i > $i > $o,SV26: $i,SV2: $i > $i > $o,SV30: $i] :
( ( ( SV2 @ SV26 @ SV30 )
= $true )
| ( ( SV1 @ SV26 @ SV30 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[164]) ).
thf(168,plain,
! [SV3: $i,SV1: $i > $i > $o,SV26: $i,SV2: $i > $i > $o,SV30: $i] :
( ( ( SV2 @ SV26 @ SV30 )
= $false )
| ( ( SV1 @ SV26 @ SV30 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[164]) ).
thf(169,plain,
! [SV3: $i,SV1: $i > $i > $o,SV31: $i] :
( ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SX1: $i] : $true )
= ( SV1 @ SV31 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[69]) ).
thf(171,plain,
! [SV3: $i,SV1: $i > $i > $o,SV12: $i > $i > $o,SV33: $i] :
( ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY30: $i] :
~ ( SV12 @ SV33 @ SY30 ) )
= ( SV1 @ SV33 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[71]) ).
thf(172,plain,
! [SV3: $i,SV1: $i > $i > $o,SV34: $i] :
( ( ( SV3 != lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY31: $i] : ( SV34 != SY31 ) )
= ( SV1 @ SV34 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[72]) ).
thf(173,plain,
! [SV3: $i,SV1: $i > $i > $o,SV35: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY32: $i] : ( SV35 = SY32 ) )
= ( SV1 @ SV35 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[73]) ).
thf(174,plain,
! [SV3: $i,SV2: $i > $i > $o,SV36: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( ( SV2 @ SV36 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[74]) ).
thf(176,plain,
! [SV3: $i,SV21: $i > $i > $o,SV2: $i > $i > $o,SV38: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ( SV2 @ SV38 )
= ( ^ [SY35: $i] :
~ ( SV21 @ SV38 @ SY35 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[76]) ).
thf(177,plain,
! [SV3: $i,SV2: $i > $i > $o,SV39: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV39 )
= ( ^ [SY36: $i] : ( SV39 != SY36 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[77]) ).
thf(178,plain,
! [SV3: $i,SV2: $i > $i > $o,SV40: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV40 )
= ( ^ [SY37: $i] : ( SV40 = SY37 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[78]) ).
thf(179,plain,
! [SV3: $i,SV5: $i,SV1: $i > $i > $o,SV41: $i] :
( ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( $true
= ( SV1 @ SV5 @ SV41 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[79]) ).
thf(181,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV12: $i > $i > $o,SV43: $i] :
( ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ~ ( SV12 @ SV5 @ SV43 ) )
= ( SV1 @ SV5 @ SV43 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[81]) ).
thf(182,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV44: $i] :
( ( ( SV3 != lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV5 != SV44 )
= ( SV1 @ SV5 @ SV44 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[82]) ).
thf(183,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV45: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV5 = SV45 )
= ( SV1 @ SV5 @ SV45 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[83]) ).
thf(184,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV46: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( ( SV2 @ SV5 @ SV46 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[84]) ).
thf(186,plain,
! [SV3: $i,SV21: $i > $i > $o,SV5: $i,SV2: $i > $i > $o,SV48: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ( SV2 @ SV5 @ SV48 )
= ( ~ ( SV21 @ SV5 @ SV48 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[86]) ).
thf(187,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV49: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV49 )
= ( SV5 != SV49 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[87]) ).
thf(188,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV50: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV50 )
= ( SV5 = SV50 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[88]) ).
thf(190,plain,
! [SV3: $i,SV5: $i,SV1: $i > $i > $o,SV41: $i] :
( ( $true = $false )
| ( ( SV1 @ SV5 @ SV41 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[179]) ).
thf(193,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV12: $i > $i > $o,SV43: $i] :
( ( ( ~ ( SV12 @ SV5 @ SV43 ) )
= $true )
| ( ( SV1 @ SV5 @ SV43 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[181]) ).
thf(194,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV12: $i > $i > $o,SV43: $i] :
( ( ( ~ ( SV12 @ SV5 @ SV43 ) )
= $false )
| ( ( SV1 @ SV5 @ SV43 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[181]) ).
thf(195,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV44: $i] :
( ( ( SV5 != SV44 )
= $true )
| ( ( SV1 @ SV5 @ SV44 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[182]) ).
thf(196,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV44: $i] :
( ( ( SV5 != SV44 )
= $false )
| ( ( SV1 @ SV5 @ SV44 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[182]) ).
thf(197,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV45: $i] :
( ( ( SV5 = SV45 )
= $true )
| ( ( SV1 @ SV5 @ SV45 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[183]) ).
thf(198,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV45: $i] :
( ( ( SV5 = SV45 )
= $false )
| ( ( SV1 @ SV5 @ SV45 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[183]) ).
thf(199,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV46: $i] :
( ( ( SV2 @ SV5 @ SV46 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[184]) ).
thf(203,plain,
! [SV3: $i,SV21: $i > $i > $o,SV5: $i,SV2: $i > $i > $o,SV48: $i] :
( ( ( SV2 @ SV5 @ SV48 )
= $true )
| ( ( ~ ( SV21 @ SV5 @ SV48 ) )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[186]) ).
thf(204,plain,
! [SV3: $i,SV21: $i > $i > $o,SV5: $i,SV2: $i > $i > $o,SV48: $i] :
( ( ( SV2 @ SV5 @ SV48 )
= $false )
| ( ( ~ ( SV21 @ SV5 @ SV48 ) )
= $true )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[186]) ).
thf(205,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV49: $i] :
( ( ( SV2 @ SV5 @ SV49 )
= $true )
| ( ( SV5 != SV49 )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[187]) ).
thf(206,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV49: $i] :
( ( ( SV2 @ SV5 @ SV49 )
= $false )
| ( ( SV5 != SV49 )
= $true )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[187]) ).
thf(207,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV50: $i] :
( ( ( SV2 @ SV5 @ SV50 )
= $true )
| ( ( SV5 = SV50 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[188]) ).
thf(208,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV50: $i] :
( ( ( SV2 @ SV5 @ SV50 )
= $false )
| ( ( SV5 = SV50 )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[188]) ).
thf(210,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(213,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[91]) ).
thf(214,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV5 @ SV7 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[91]) ).
thf(215,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV3 != lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV5 != SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[92]) ).
thf(216,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV3 != lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV5 != SV7 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[92]) ).
thf(217,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV5 = SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(218,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV5 = SV7 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(219,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[94]) ).
thf(223,plain,
! [SV3: $i,SV21: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( ~ ( SV21 @ SV5 @ SV7 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(224,plain,
! [SV3: $i,SV21: $i > $i > $o,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( SV21 @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(225,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV5 != SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[97]) ).
thf(226,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV5 != SV7 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[97]) ).
thf(227,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV5 = SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[98]) ).
thf(228,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV5 = SV7 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[98]) ).
thf(229,plain,
! [SV3: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( ! [SV51: $i] :
( $true
= ( SV1 @ SV31 @ SV51 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[169]) ).
thf(230,plain,
! [SV3: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( ( ^ [SX1: $i] : $true )
= ( SV1 @ SV31 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[169]) ).
thf(233,plain,
! [SV33: $i,SV1: $i > $i > $o,SV3: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY30: $i] :
~ ( SV12 @ SV33 @ SY30 ) )
= ( SV1 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(234,plain,
! [SV34: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY31: $i] : ( SV34 != SY31 ) )
= ( SV1 @ SV34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(235,plain,
! [SV3: $i,SV1: $i > $i > $o,SV35: $i] :
( ( ( ! [SV53: $i] :
( ( SV35 = SV53 )
= ( SV1 @ SV35 @ SV53 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[173]) ).
thf(236,plain,
! [SV3: $i,SV1: $i > $i > $o,SV35: $i] :
( ( ( ( ^ [SY32: $i] : ( SV35 = SY32 ) )
= ( SV1 @ SV35 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[173]) ).
thf(237,plain,
! [SV3: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ! [SV54: $i] :
( ( SV2 @ SV36 @ SV54 )
= $true ) )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[174]) ).
thf(238,plain,
! [SV3: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV36 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[174]) ).
thf(241,plain,
! [SV38: $i,SV2: $i > $i > $o,SV3: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV38 )
= ( ^ [SY35: $i] :
~ ( SV21 @ SV38 @ SY35 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(242,plain,
! [SV39: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV39 )
= ( ^ [SY36: $i] : ( SV39 != SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(243,plain,
! [SV3: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ! [SV56: $i] :
( ( SV2 @ SV40 @ SV56 )
= ( SV40 = SV56 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[178]) ).
thf(244,plain,
! [SV3: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV40 )
= ( ^ [SY37: $i] : ( SV40 = SY37 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[178]) ).
thf(245,plain,
! [SV3: $i,SV1: $i > $i > $o,SV43: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV5 @ SV43 )
= $true )
| ( ( SV1 @ SV5 @ SV43 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(246,plain,
! [SV3: $i,SV1: $i > $i > $o,SV43: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV5 @ SV43 )
= $false )
| ( ( SV1 @ SV5 @ SV43 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(247,plain,
! [SV3: $i,SV1: $i > $i > $o,SV44: $i,SV5: $i] :
( ( ( SV5 = SV44 )
= $true )
| ( ( SV1 @ SV5 @ SV44 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(248,plain,
! [SV3: $i,SV1: $i > $i > $o,SV44: $i,SV5: $i] :
( ( ( SV5 = SV44 )
= $false )
| ( ( SV1 @ SV5 @ SV44 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(249,plain,
! [SV3: $i,SV2: $i > $i > $o,SV48: $i,SV5: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV5 @ SV48 )
= $false )
| ( ( SV2 @ SV5 @ SV48 )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(250,plain,
! [SV3: $i,SV2: $i > $i > $o,SV48: $i,SV5: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV5 @ SV48 )
= $true )
| ( ( SV2 @ SV5 @ SV48 )
= $true )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(251,plain,
! [SV3: $i,SV2: $i > $i > $o,SV49: $i,SV5: $i] :
( ( ( SV5 = SV49 )
= $false )
| ( ( SV2 @ SV5 @ SV49 )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(252,plain,
! [SV3: $i,SV2: $i > $i > $o,SV49: $i,SV5: $i] :
( ( ( SV5 = SV49 )
= $true )
| ( ( SV2 @ SV5 @ SV49 )
= $true )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(253,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV5 @ SV7 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(254,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV5 @ SV7 ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(255,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV5 != SV7 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(256,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV5 != SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(257,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( SV21 @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(258,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( ~ ( SV21 @ SV5 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(259,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV5 != SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(260,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV5 != SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(265,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(266,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(267,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV5 @ SV7 )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(268,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(269,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(270,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(271,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV5 @ SV7 )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( ~ ( SV21 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(272,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV3 != lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(277,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( $true
= ( SV1 @ SV31 @ SV57 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(279,plain,
! [SV3: $i,SV1: $i > $i > $o,SV33: $i,SV12: $i > $i > $o] :
( ( ( ! [SV59: $i] :
( ( ~ ( SV12 @ SV33 @ SV59 ) )
= ( SV1 @ SV33 @ SV59 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[233]) ).
thf(280,plain,
! [SV3: $i,SV1: $i > $i > $o,SV33: $i,SV12: $i > $i > $o] :
( ( ( ( ^ [SY30: $i] :
~ ( SV12 @ SV33 @ SY30 ) )
= ( SV1 @ SV33 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[233]) ).
thf(281,plain,
! [SV3: $i,SV1: $i > $i > $o,SV34: $i] :
( ( ( ! [SV60: $i] :
( ( SV34 != SV60 )
= ( SV1 @ SV34 @ SV60 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[234]) ).
thf(282,plain,
! [SV3: $i,SV1: $i > $i > $o,SV34: $i] :
( ( ( ( ^ [SY31: $i] : ( SV34 != SY31 ) )
= ( SV1 @ SV34 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[234]) ).
thf(283,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( ( SV35 = SV61 )
= ( SV1 @ SV35 @ SV61 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(284,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV36 @ SV62 )
= $true )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(286,plain,
! [SV3: $i,SV21: $i > $i > $o,SV38: $i,SV2: $i > $i > $o] :
( ( ( ! [SV64: $i] :
( ( SV2 @ SV38 @ SV64 )
= ( ~ ( SV21 @ SV38 @ SV64 ) ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[241]) ).
thf(287,plain,
! [SV3: $i,SV21: $i > $i > $o,SV38: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV38 )
= ( ^ [SY35: $i] :
~ ( SV21 @ SV38 @ SY35 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[241]) ).
thf(288,plain,
! [SV3: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ! [SV65: $i] :
( ( SV2 @ SV39 @ SV65 )
= ( SV39 != SV65 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[242]) ).
thf(289,plain,
! [SV3: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV39 )
= ( ^ [SY36: $i] : ( SV39 != SY36 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[242]) ).
thf(290,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV40 @ SV66 )
= ( SV40 = SV66 ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(291,plain,
! [SV43: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV43 )
= $true )
| ( ( SV12 @ SV5 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(292,plain,
! [SV43: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV43 )
= $false )
| ( ( SV12 @ SV5 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(293,plain,
! [SV44: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV44 )
= $true )
| ( ( SV5 = SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(294,plain,
! [SV44: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV44 )
= $false )
| ( ( SV5 = SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(295,plain,
! [SV48: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV5 @ SV48 )
= $false )
| ( ( SV21 @ SV5 @ SV48 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(296,plain,
! [SV48: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV5 @ SV48 )
= $true )
| ( ( SV21 @ SV5 @ SV48 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(297,plain,
! [SV49: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV5 @ SV49 )
= $false )
| ( ( SV5 = SV49 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(298,plain,
! [SV49: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV5 @ SV49 )
= $true )
| ( ( SV5 = SV49 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(299,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(300,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(301,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(302,plain,
! [SV3: $i,SV1: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(303,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV5 @ SV7 )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(304,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV5 @ SV7 )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(305,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(306,plain,
! [SV3: $i,SV2: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(309,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV12 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(310,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV5 = SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(311,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV21 @ SV5 @ SV7 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(312,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV5 = SV7 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(313,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV12 @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(314,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV5 = SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(315,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV21 @ SV5 @ SV7 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(316,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV5 = SV7 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(319,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( ~ ( $true
| ( SV1 @ SV31 @ SV57 ) )
| ~ ( ~ $true
| ~ ( SV1 @ SV31 @ SV57 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[277]) ).
thf(320,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( $true
= ( SV1 @ SV31 @ SV57 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[277]) ).
thf(323,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ( ~ ( SV12 @ SV33 @ SV67 ) )
= ( SV1 @ SV33 @ SV67 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(324,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( ( SV34 != SV68 )
= ( SV1 @ SV34 @ SV68 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(325,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( ~ ( ( SV35 = SV61 )
| ( SV1 @ SV35 @ SV61 ) )
| ~ ( ( SV35 != SV61 )
| ~ ( SV1 @ SV35 @ SV61 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[283]) ).
thf(326,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( ( SV35 = SV61 )
= ( SV1 @ SV35 @ SV61 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[283]) ).
thf(327,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV36 @ SV62 )
| $true )
| ~ ( ~ ( SV2 @ SV36 @ SV62 )
| ~ $true ) )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[284]) ).
thf(328,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV36 @ SV62 )
= $true )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[284]) ).
thf(331,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV38 @ SV69 )
= ( ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(332,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV39 @ SV70 )
= ( SV39 != SV70 ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(333,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV40 @ SV66 )
| ( SV40 = SV66 ) )
| ~ ( ~ ( SV2 @ SV40 @ SV66 )
| ( SV40 != SV66 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[290]) ).
thf(334,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV40 @ SV66 )
= ( SV40 = SV66 ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[290]) ).
thf(339,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( ~ ( $true
| ( SV1 @ SV31 @ SV57 ) ) )
= $true )
| ( ( ~ ( ~ $true
| ~ ( SV1 @ SV31 @ SV57 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(341,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ~ ( ~ ( SV12 @ SV33 @ SV67 )
| ( SV1 @ SV33 @ SV67 ) )
| ~ ( ~ ~ ( SV12 @ SV33 @ SV67 )
| ~ ( SV1 @ SV33 @ SV67 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[323]) ).
thf(342,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ( ~ ( SV12 @ SV33 @ SV67 ) )
= ( SV1 @ SV33 @ SV67 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[323]) ).
thf(343,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( ~ ( ( SV34 != SV68 )
| ( SV1 @ SV34 @ SV68 ) )
| ~ ( ~ ( ( SV34 != SV68 ) )
| ~ ( SV1 @ SV34 @ SV68 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[324]) ).
thf(344,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( ( SV34 != SV68 )
= ( SV1 @ SV34 @ SV68 ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[324]) ).
thf(345,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( ~ ( ( SV35 = SV61 )
| ( SV1 @ SV35 @ SV61 ) ) )
= $true )
| ( ( ~ ( ( SV35 != SV61 )
| ~ ( SV1 @ SV35 @ SV61 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(346,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV36 @ SV62 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV36 @ SV62 )
| ~ $true ) )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(348,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV38 @ SV69 )
| ~ ( SV21 @ SV38 @ SV69 ) )
| ~ ( ~ ( SV2 @ SV38 @ SV69 )
| ~ ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[331]) ).
thf(349,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV38 @ SV69 )
= ( ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[331]) ).
thf(350,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV39 @ SV70 )
| ( SV39 != SV70 ) )
| ~ ( ~ ( SV2 @ SV39 @ SV70 )
| ~ ( ( SV39 != SV70 ) ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[332]) ).
thf(351,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV39 @ SV70 )
= ( SV39 != SV70 ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[332]) ).
thf(352,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV40 @ SV66 )
| ( SV40 = SV66 ) ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV40 @ SV66 )
| ( SV40 != SV66 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(353,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( $true
| ( SV1 @ SV31 @ SV57 ) )
= $false )
| ( ( ~ ( ~ $true
| ~ ( SV1 @ SV31 @ SV57 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(355,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ~ ( ~ ( SV12 @ SV33 @ SV67 )
| ( SV1 @ SV33 @ SV67 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( SV12 @ SV33 @ SV67 )
| ~ ( SV1 @ SV33 @ SV67 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(356,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( ~ ( ( SV34 != SV68 )
| ( SV1 @ SV34 @ SV68 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV34 != SV68 ) )
| ~ ( SV1 @ SV34 @ SV68 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(357,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( ( SV35 = SV61 )
| ( SV1 @ SV35 @ SV61 ) )
= $false )
| ( ( ~ ( ( SV35 != SV61 )
| ~ ( SV1 @ SV35 @ SV61 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(358,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV36 @ SV62 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV36 @ SV62 )
| ~ $true ) )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(360,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV38 @ SV69 )
| ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV38 @ SV69 )
| ~ ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(361,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV39 @ SV70 )
| ( SV39 != SV70 ) ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV39 @ SV70 )
| ~ ( ( SV39 != SV70 ) ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(362,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV40 @ SV66 )
| ( SV40 = SV66 ) )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV40 @ SV66 )
| ( SV40 != SV66 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(363,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ ( SV1 @ SV31 @ SV57 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(367,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ~ ( SV12 @ SV33 @ SV67 )
| ( SV1 @ SV33 @ SV67 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV12 @ SV33 @ SV67 )
| ~ ( SV1 @ SV33 @ SV67 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(368,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( ( SV34 != SV68 )
| ( SV1 @ SV34 @ SV68 ) )
= $false )
| ( ( ~ ( ~ ( ( SV34 != SV68 ) )
| ~ ( SV1 @ SV34 @ SV68 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(369,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( SV35 = SV61 )
= $false )
| ( ( ~ ( ( SV35 != SV61 )
| ~ ( SV1 @ SV35 @ SV61 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(370,plain,
! [SV3: $i,SV61: $i,SV35: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV35 @ SV61 )
= $false )
| ( ( ~ ( ( SV35 != SV61 )
| ~ ( SV1 @ SV35 @ SV61 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(372,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV2 @ SV36 @ SV62 )
| ~ $true ) )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(375,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV38 @ SV69 )
| ~ ( SV21 @ SV38 @ SV69 ) )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV38 @ SV69 )
| ~ ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(376,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV39 @ SV70 )
| ( SV39 != SV70 ) )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV39 @ SV70 )
| ~ ( ( SV39 != SV70 ) ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(377,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV40 @ SV66 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV40 @ SV66 )
| ( SV40 != SV66 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(378,plain,
! [SV3: $i,SV2: $i > $i > $o,SV66: $i,SV40: $i] :
( ( ( SV40 = SV66 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV40 @ SV66 )
| ( SV40 != SV66 ) ) )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(379,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( ~ $true
| ~ ( SV1 @ SV31 @ SV57 ) )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(383,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ~ ( SV12 @ SV33 @ SV67 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV12 @ SV33 @ SV67 )
| ~ ( SV1 @ SV33 @ SV67 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(384,plain,
! [SV3: $i,SV12: $i > $i > $o,SV67: $i,SV33: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV33 @ SV67 )
= $false )
| ( ( ~ ( ~ ~ ( SV12 @ SV33 @ SV67 )
| ~ ( SV1 @ SV33 @ SV67 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(385,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( SV34 != SV68 )
= $false )
| ( ( ~ ( ~ ( ( SV34 != SV68 ) )
| ~ ( SV1 @ SV34 @ SV68 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(386,plain,
! [SV3: $i,SV68: $i,SV34: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV34 @ SV68 )
= $false )
| ( ( ~ ( ~ ( ( SV34 != SV68 ) )
| ~ ( SV1 @ SV34 @ SV68 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(387,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( ( SV35 != SV61 )
| ~ ( SV1 @ SV35 @ SV61 ) )
= $false )
| ( ( SV35 = SV61 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(388,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( ( SV35 != SV61 )
| ~ ( SV1 @ SV35 @ SV61 ) )
= $false )
| ( ( SV1 @ SV35 @ SV61 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(390,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV36 @ SV62 )
| ~ $true )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(393,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV38 @ SV69 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV38 @ SV69 )
| ~ ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(394,plain,
! [SV3: $i,SV2: $i > $i > $o,SV69: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV38 @ SV69 ) )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV38 @ SV69 )
| ~ ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(395,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV39 @ SV70 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV39 @ SV70 )
| ~ ( ( SV39 != SV70 ) ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(396,plain,
! [SV3: $i,SV2: $i > $i > $o,SV70: $i,SV39: $i] :
( ( ( SV39 != SV70 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV39 @ SV70 )
| ~ ( ( SV39 != SV70 ) ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(397,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV40 @ SV66 )
| ( SV40 != SV66 ) )
= $false )
| ( ( SV2 @ SV40 @ SV66 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(398,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV40 @ SV66 )
| ( SV40 != SV66 ) )
= $false )
| ( ( SV40 = SV66 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(400,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV31 @ SV57 ) )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(407,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV33 @ SV67 )
= $true )
| ( ( ~ ( ~ ~ ( SV12 @ SV33 @ SV67 )
| ~ ( SV1 @ SV33 @ SV67 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(408,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ~ ~ ( SV12 @ SV33 @ SV67 )
| ~ ( SV1 @ SV33 @ SV67 ) )
= $false )
| ( ( SV1 @ SV33 @ SV67 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(409,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( SV34 = SV68 )
= $true )
| ( ( ~ ( ~ ( ( SV34 != SV68 ) )
| ~ ( SV1 @ SV34 @ SV68 ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(410,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( ~ ( ( SV34 != SV68 ) )
| ~ ( SV1 @ SV34 @ SV68 ) )
= $false )
| ( ( SV1 @ SV34 @ SV68 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(412,plain,
! [SV3: $i,SV61: $i,SV35: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV35 @ SV61 ) )
= $false )
| ( ( SV35 = SV61 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(413,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( SV35 != SV61 )
= $false )
| ( ( SV1 @ SV35 @ SV61 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[388]) ).
thf(417,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV36 @ SV62 ) )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(423,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV38 @ SV69 )
| ~ ~ ( SV21 @ SV38 @ SV69 ) )
= $false )
| ( ( SV2 @ SV38 @ SV69 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(424,plain,
! [SV3: $i,SV2: $i > $i > $o,SV69: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV38 @ SV69 )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV38 @ SV69 )
| ~ ~ ( SV21 @ SV38 @ SV69 ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(425,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV39 @ SV70 )
| ~ ( ( SV39 != SV70 ) ) )
= $false )
| ( ( SV2 @ SV39 @ SV70 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(426,plain,
! [SV3: $i,SV2: $i > $i > $o,SV70: $i,SV39: $i] :
( ( ( SV39 = SV70 )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV39 @ SV70 )
| ~ ( ( SV39 != SV70 ) ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(428,plain,
! [SV3: $i,SV2: $i > $i > $o,SV66: $i,SV40: $i] :
( ( ( SV40 != SV66 )
= $false )
| ( ( SV2 @ SV40 @ SV66 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(429,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV40 @ SV66 ) )
= $false )
| ( ( SV40 = SV66 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(432,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV31 @ SV57 )
= $true )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(439,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ~ ~ ( SV12 @ SV33 @ SV67 )
| ~ ( SV1 @ SV33 @ SV67 ) )
= $false )
| ( ( SV12 @ SV33 @ SV67 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(440,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ~ ~ ( SV12 @ SV33 @ SV67 ) )
= $false )
| ( ( SV1 @ SV33 @ SV67 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(442,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( ~ ( ( SV34 != SV68 ) )
| ~ ( SV1 @ SV34 @ SV68 ) )
= $false )
| ( ( SV34 = SV68 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(443,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( ~ ( ( SV34 != SV68 ) ) )
= $false )
| ( ( SV1 @ SV34 @ SV68 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(446,plain,
! [SV3: $i,SV61: $i,SV35: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV35 @ SV61 )
= $true )
| ( ( SV35 = SV61 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(447,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( SV35 = SV61 )
= $true )
| ( ( SV1 @ SV35 @ SV61 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(451,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV36 @ SV62 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(458,plain,
! [SV3: $i,SV2: $i > $i > $o,SV69: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( ~ ~ ( SV21 @ SV38 @ SV69 ) )
= $false )
| ( ( SV2 @ SV38 @ SV69 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(459,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV38 @ SV69 )
| ~ ~ ( SV21 @ SV38 @ SV69 ) )
= $false )
| ( ( SV21 @ SV38 @ SV69 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(461,plain,
! [SV3: $i,SV2: $i > $i > $o,SV70: $i,SV39: $i] :
( ( ( ~ ( ( SV39 != SV70 ) ) )
= $false )
| ( ( SV2 @ SV39 @ SV70 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(462,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV39 @ SV70 )
| ~ ( ( SV39 != SV70 ) ) )
= $false )
| ( ( SV39 = SV70 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(464,plain,
! [SV3: $i,SV2: $i > $i > $o,SV66: $i,SV40: $i] :
( ( ( SV40 = SV66 )
= $true )
| ( ( SV2 @ SV40 @ SV66 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(465,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV40 @ SV66 )
= $true )
| ( ( SV40 = SV66 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(468,plain,
! [SV3: $i,SV12: $i > $i > $o,SV67: $i,SV33: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV33 @ SV67 ) )
= $false )
| ( ( SV12 @ SV33 @ SV67 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(469,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( ~ ( SV12 @ SV33 @ SV67 ) )
= $true )
| ( ( SV1 @ SV33 @ SV67 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(472,plain,
! [SV3: $i,SV68: $i,SV34: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV34 @ SV68 ) )
= $false )
| ( ( SV34 = SV68 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(473,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( SV34 != SV68 )
= $true )
| ( ( SV1 @ SV34 @ SV68 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(476,plain,
! [SV3: $i,SV2: $i > $i > $o,SV69: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV38 @ SV69 ) )
= $true )
| ( ( SV2 @ SV38 @ SV69 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(477,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV38 @ SV69 ) )
= $false )
| ( ( SV21 @ SV38 @ SV69 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(480,plain,
! [SV3: $i,SV2: $i > $i > $o,SV70: $i,SV39: $i] :
( ( ( SV39 != SV70 )
= $true )
| ( ( SV2 @ SV39 @ SV70 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(481,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV39 @ SV70 ) )
= $false )
| ( ( SV39 = SV70 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(484,plain,
! [SV3: $i,SV12: $i > $i > $o,SV67: $i,SV33: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV33 @ SV67 )
= $true )
| ( ( SV12 @ SV33 @ SV67 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(485,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV33 @ SV67 )
= $false )
| ( ( SV1 @ SV33 @ SV67 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(487,plain,
! [SV3: $i,SV68: $i,SV34: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV34 @ SV68 )
= $true )
| ( ( SV34 = SV68 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(488,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( SV34 = SV68 )
= $false )
| ( ( SV1 @ SV34 @ SV68 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(489,plain,
! [SV3: $i,SV2: $i > $i > $o,SV69: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV38 @ SV69 )
= $false )
| ( ( SV2 @ SV38 @ SV69 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(490,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV38 @ SV69 )
= $true )
| ( ( SV21 @ SV38 @ SV69 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(492,plain,
! [SV3: $i,SV2: $i > $i > $o,SV70: $i,SV39: $i] :
( ( ( SV39 = SV70 )
= $false )
| ( ( SV2 @ SV39 @ SV70 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(493,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV39 @ SV70 )
= $true )
| ( ( SV39 = SV70 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(499,plain,
! [SV3: $i,SV31: $i,SV1: $i > $i > $o,SV71: $i] :
( ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( $true
= ( SV1 @ SV31 @ SV71 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[230]) ).
thf(501,plain,
! [SV3: $i,SV1: $i > $i > $o,SV33: $i,SV12: $i > $i > $o,SV73: $i] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ~ ( SV12 @ SV33 @ SV73 ) )
= ( SV1 @ SV33 @ SV73 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[280]) ).
thf(502,plain,
! [SV3: $i,SV1: $i > $i > $o,SV34: $i,SV74: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV34 != SV74 )
= ( SV1 @ SV34 @ SV74 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(503,plain,
! [SV3: $i,SV1: $i > $i > $o,SV35: $i,SV75: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV35 = SV75 )
= ( SV1 @ SV35 @ SV75 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[236]) ).
thf(504,plain,
! [SV3: $i,SV36: $i,SV2: $i > $i > $o,SV76: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( ( SV2 @ SV36 @ SV76 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[238]) ).
thf(506,plain,
! [SV3: $i,SV21: $i > $i > $o,SV38: $i,SV2: $i > $i > $o,SV78: $i] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV38 @ SV78 )
= ( ~ ( SV21 @ SV38 @ SV78 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[287]) ).
thf(507,plain,
! [SV3: $i,SV39: $i,SV2: $i > $i > $o,SV79: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV39 @ SV79 )
= ( SV39 != SV79 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[289]) ).
thf(508,plain,
! [SV3: $i,SV40: $i,SV2: $i > $i > $o,SV80: $i] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV40 @ SV80 )
= ( SV40 = SV80 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[244]) ).
thf(510,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV31 @ SV57 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[320]) ).
thf(512,plain,
! [SV3: $i,SV31: $i,SV1: $i > $i > $o,SV71: $i] :
( ( $true = $false )
| ( ( SV1 @ SV31 @ SV71 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[499]) ).
thf(517,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV33 @ SV67 ) )
= $true )
| ( ( SV1 @ SV33 @ SV67 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[342]) ).
thf(518,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV12 @ SV33 @ SV67 ) )
= $false )
| ( ( SV1 @ SV33 @ SV67 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[342]) ).
thf(519,plain,
! [SV3: $i,SV1: $i > $i > $o,SV33: $i,SV12: $i > $i > $o,SV73: $i] :
( ( ( ~ ( SV12 @ SV33 @ SV73 ) )
= $true )
| ( ( SV1 @ SV33 @ SV73 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[501]) ).
thf(520,plain,
! [SV3: $i,SV1: $i > $i > $o,SV33: $i,SV12: $i > $i > $o,SV73: $i] :
( ( ( ~ ( SV12 @ SV33 @ SV73 ) )
= $false )
| ( ( SV1 @ SV33 @ SV73 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[501]) ).
thf(521,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV34 != SV68 )
= $true )
| ( ( SV1 @ SV34 @ SV68 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[344]) ).
thf(522,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV34 != SV68 )
= $false )
| ( ( SV1 @ SV34 @ SV68 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[344]) ).
thf(523,plain,
! [SV3: $i,SV1: $i > $i > $o,SV34: $i,SV74: $i] :
( ( ( SV34 != SV74 )
= $true )
| ( ( SV1 @ SV34 @ SV74 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[502]) ).
thf(524,plain,
! [SV3: $i,SV1: $i > $i > $o,SV34: $i,SV74: $i] :
( ( ( SV34 != SV74 )
= $false )
| ( ( SV1 @ SV34 @ SV74 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[502]) ).
thf(525,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV35 = SV61 )
= $true )
| ( ( SV1 @ SV35 @ SV61 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[326]) ).
thf(526,plain,
! [SV3: $i,SV1: $i > $i > $o,SV61: $i,SV35: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV35 = SV61 )
= $false )
| ( ( SV1 @ SV35 @ SV61 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[326]) ).
thf(527,plain,
! [SV3: $i,SV1: $i > $i > $o,SV35: $i,SV75: $i] :
( ( ( SV35 = SV75 )
= $true )
| ( ( SV1 @ SV35 @ SV75 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[503]) ).
thf(528,plain,
! [SV3: $i,SV1: $i > $i > $o,SV35: $i,SV75: $i] :
( ( ( SV35 = SV75 )
= $false )
| ( ( SV1 @ SV35 @ SV75 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[503]) ).
thf(529,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV36 @ SV62 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[328]) ).
thf(531,plain,
! [SV3: $i,SV36: $i,SV2: $i > $i > $o,SV76: $i] :
( ( ( SV2 @ SV36 @ SV76 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[504]) ).
thf(537,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV38 @ SV69 )
= $true )
| ( ( ~ ( SV21 @ SV38 @ SV69 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[349]) ).
thf(538,plain,
! [SV3: $i,SV21: $i > $i > $o,SV69: $i,SV38: $i,SV2: $i > $i > $o] :
( ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV38 @ SV69 )
= $false )
| ( ( ~ ( SV21 @ SV38 @ SV69 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[349]) ).
thf(539,plain,
! [SV3: $i,SV21: $i > $i > $o,SV38: $i,SV2: $i > $i > $o,SV78: $i] :
( ( ( SV2 @ SV38 @ SV78 )
= $true )
| ( ( ~ ( SV21 @ SV38 @ SV78 ) )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(540,plain,
! [SV3: $i,SV21: $i > $i > $o,SV38: $i,SV2: $i > $i > $o,SV78: $i] :
( ( ( SV2 @ SV38 @ SV78 )
= $false )
| ( ( ~ ( SV21 @ SV38 @ SV78 ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(541,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV39 @ SV70 )
= $true )
| ( ( SV39 != SV70 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[351]) ).
thf(542,plain,
! [SV3: $i,SV70: $i,SV39: $i,SV2: $i > $i > $o] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV39 @ SV70 )
= $false )
| ( ( SV39 != SV70 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[351]) ).
thf(543,plain,
! [SV3: $i,SV39: $i,SV2: $i > $i > $o,SV79: $i] :
( ( ( SV2 @ SV39 @ SV79 )
= $true )
| ( ( SV39 != SV79 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(544,plain,
! [SV3: $i,SV39: $i,SV2: $i > $i > $o,SV79: $i] :
( ( ( SV2 @ SV39 @ SV79 )
= $false )
| ( ( SV39 != SV79 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(545,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV40 @ SV66 )
= $true )
| ( ( SV40 = SV66 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[334]) ).
thf(546,plain,
! [SV3: $i,SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV40 @ SV66 )
= $false )
| ( ( SV40 = SV66 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[334]) ).
thf(547,plain,
! [SV3: $i,SV40: $i,SV2: $i > $i > $o,SV80: $i] :
( ( ( SV2 @ SV40 @ SV80 )
= $true )
| ( ( SV40 = SV80 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[508]) ).
thf(548,plain,
! [SV3: $i,SV40: $i,SV2: $i > $i > $o,SV80: $i] :
( ( ( SV2 @ SV40 @ SV80 )
= $false )
| ( ( SV40 = SV80 )
= $true )
| ( ( SV3 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[508]) ).
thf(549,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV33 @ SV67 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV33 @ SV67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(550,plain,
! [SV3: $i,SV1: $i > $i > $o,SV67: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV33 @ SV67 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV33 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(551,plain,
! [SV3: $i,SV1: $i > $i > $o,SV73: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV33 @ SV73 )
= $true )
| ( ( SV1 @ SV33 @ SV73 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(552,plain,
! [SV3: $i,SV1: $i > $i > $o,SV73: $i,SV33: $i,SV12: $i > $i > $o] :
( ( ( SV12 @ SV33 @ SV73 )
= $false )
| ( ( SV1 @ SV33 @ SV73 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV12 @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(553,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( SV34 = SV68 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV34 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(554,plain,
! [SV3: $i,SV1: $i > $i > $o,SV68: $i,SV34: $i] :
( ( ( SV34 = SV68 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV34 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(555,plain,
! [SV3: $i,SV1: $i > $i > $o,SV74: $i,SV34: $i] :
( ( ( SV34 = SV74 )
= $true )
| ( ( SV1 @ SV34 @ SV74 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(556,plain,
! [SV3: $i,SV1: $i > $i > $o,SV74: $i,SV34: $i] :
( ( ( SV34 = SV74 )
= $false )
| ( ( SV1 @ SV34 @ SV74 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(557,plain,
! [SV3: $i,SV2: $i > $i > $o,SV69: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV38 @ SV69 )
= $false )
| ( ( SV2 @ SV38 @ SV69 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(558,plain,
! [SV3: $i,SV2: $i > $i > $o,SV69: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV38 @ SV69 )
= $true )
| ( ( SV2 @ SV38 @ SV69 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(559,plain,
! [SV3: $i,SV2: $i > $i > $o,SV78: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV38 @ SV78 )
= $false )
| ( ( SV2 @ SV38 @ SV78 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(560,plain,
! [SV3: $i,SV2: $i > $i > $o,SV78: $i,SV38: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV38 @ SV78 )
= $true )
| ( ( SV2 @ SV38 @ SV78 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV3 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(561,plain,
! [SV3: $i,SV2: $i > $i > $o,SV70: $i,SV39: $i] :
( ( ( SV39 = SV70 )
= $false )
| ( ( SV2 @ SV39 @ SV70 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(562,plain,
! [SV3: $i,SV2: $i > $i > $o,SV70: $i,SV39: $i] :
( ( ( SV39 = SV70 )
= $true )
| ( ( SV2 @ SV39 @ SV70 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(563,plain,
! [SV3: $i,SV2: $i > $i > $o,SV79: $i,SV39: $i] :
( ( ( SV39 = SV79 )
= $false )
| ( ( SV2 @ SV39 @ SV79 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(564,plain,
! [SV3: $i,SV2: $i > $i > $o,SV79: $i,SV39: $i] :
( ( ( SV39 = SV79 )
= $true )
| ( ( SV2 @ SV39 @ SV79 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(566,plain,
! [SV68: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV68 @ SV68 )
= $false ) ),
inference(extuni,[status(esa)],[488:[bind(SV34,$thf( SV68 ))]]) ).
thf(567,plain,
! [SV3: $i,SV68: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV68 @ SV68 )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[554:[bind(SV34,$thf( SV68 ))]]) ).
thf(568,plain,
! [SV74: $i,SV1: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV74 @ SV74 )
= $false ) ),
inference(extuni,[status(esa)],[556:[bind(SV34,$thf( SV74 ))]]) ).
thf(570,plain,
! [SV61: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV61 @ SV61 )
= $true ) ),
inference(extuni,[status(esa)],[446:[bind(SV3,$thf( lBill_THFTYPE_i )),bind(SV35,$thf( SV61 ))]]) ).
thf(571,plain,
! [SV61: $i,SV35: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV35 @ SV61 )
= $false )
| ( ( SV35 = SV61 )
= $true ) ),
inference(extuni,[status(esa)],[447:[bind(SV3,$thf( lBill_THFTYPE_i ))]]) ).
thf(573,plain,
! [SV61: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV61 @ SV61 )
= $true )
| ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[526:[bind(SV35,$thf( SV61 )),bind(SV3,$thf( lBill_THFTYPE_i ))]]) ).
thf(574,plain,
! [SV61: $i,SV35: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV35 @ SV61 )
= $false )
| ( ( SV35 = SV61 )
= $true )
| ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[525:[bind(SV3,$thf( lBill_THFTYPE_i ))]]) ).
thf(575,plain,
! [SV75: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV75 @ SV75 )
= $true ) ),
inference(extuni,[status(esa)],[528:[bind(SV3,$thf( lBill_THFTYPE_i )),bind(SV35,$thf( SV75 ))]]) ).
thf(576,plain,
! [SV75: $i,SV35: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV35 @ SV75 )
= $false )
| ( ( SV35 = SV75 )
= $true ) ),
inference(extuni,[status(esa)],[527:[bind(SV3,$thf( lBill_THFTYPE_i ))]]) ).
thf(577,plain,
! [SV70: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV70 @ SV70 )
= $false ) ),
inference(extuni,[status(esa)],[492:[bind(SV39,$thf( SV70 ))]]) ).
thf(579,plain,
! [SV70: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV70 @ SV70 )
= $false ) ),
inference(extuni,[status(esa)],[561:[bind(SV39,$thf( SV70 ))]]) ).
thf(580,plain,
! [SV79: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV79 @ SV79 )
= $false ) ),
inference(extuni,[status(esa)],[563:[bind(SV39,$thf( SV79 ))]]) ).
thf(582,plain,
! [SV66: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV40 @ SV66 )
= $false )
| ( ( SV40 = SV66 )
= $true ) ),
inference(extuni,[status(esa)],[464:[bind(SV3,$thf( lAnna_THFTYPE_i ))]]) ).
thf(583,plain,
! [SV66: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV66 @ SV66 )
= $true ) ),
inference(extuni,[status(esa)],[465:[bind(SV3,$thf( lAnna_THFTYPE_i )),bind(SV40,$thf( SV66 ))]]) ).
thf(585,plain,
! [SV2: $i > $i > $o,SV66: $i,SV40: $i] :
( ( ( SV40 = SV66 )
= $true )
| ( ( SV2 @ SV40 @ SV66 )
= $false )
| ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[546:[bind(SV3,$thf( lAnna_THFTYPE_i ))]]) ).
thf(586,plain,
! [SV66: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV66 @ SV66 )
= $true )
| ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[545:[bind(SV40,$thf( SV66 )),bind(SV3,$thf( lAnna_THFTYPE_i ))]]) ).
thf(587,plain,
! [SV80: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV40 = SV80 )
= $true )
| ( ( SV2 @ SV40 @ SV80 )
= $false ) ),
inference(extuni,[status(esa)],[548:[bind(SV3,$thf( lAnna_THFTYPE_i ))]]) ).
thf(588,plain,
! [SV80: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV80 @ SV80 )
= $true ) ),
inference(extuni,[status(esa)],[547:[bind(SV3,$thf( lAnna_THFTYPE_i )),bind(SV40,$thf( SV80 ))]]) ).
thf(589,plain,
! [SV3: $i,SV44: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV44 @ SV44 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[294:[bind(SV5,$thf( SV44 ))]]) ).
thf(590,plain,
! [SV45: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV45 @ SV45 )
= $true ) ),
inference(extuni,[status(esa)],[198:[bind(SV3,$thf( lBill_THFTYPE_i )),bind(SV5,$thf( SV45 ))]]) ).
thf(591,plain,
! [SV45: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV45 )
= $false )
| ( ( SV5 = SV45 )
= $true ) ),
inference(extuni,[status(esa)],[197:[bind(SV3,$thf( lBill_THFTYPE_i ))]]) ).
thf(592,plain,
! [SV49: $i,SV3: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV49 @ SV49 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[297:[bind(SV5,$thf( SV49 ))]]) ).
thf(593,plain,
! [SV50: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV5 = SV50 )
= $true )
| ( ( SV2 @ SV5 @ SV50 )
= $false ) ),
inference(extuni,[status(esa)],[208:[bind(SV3,$thf( lAnna_THFTYPE_i ))]]) ).
thf(594,plain,
! [SV50: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV50 @ SV50 )
= $true ) ),
inference(extuni,[status(esa)],[207:[bind(SV3,$thf( lAnna_THFTYPE_i )),bind(SV5,$thf( SV50 ))]]) ).
thf(595,plain,
! [SV3: $i,SV7: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV7 @ SV7 )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[302:[bind(SV5,$thf( SV7 ))]]) ).
thf(596,plain,
! [SV7: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV7 @ SV7 )
= $true )
| ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV5,$thf( SV7 )),bind(SV3,$thf( lBill_THFTYPE_i ))]]) ).
thf(597,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV5 = SV7 )
= $true )
| ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV3,$thf( lBill_THFTYPE_i ))]]) ).
thf(598,plain,
! [SV7: $i,SV2: $i > $i > $o,SV3: $i] :
( ( ( SV3 = lAnna_THFTYPE_i )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV7 @ SV7 )
= $false ) ),
inference(extuni,[status(esa)],[305:[bind(SV5,$thf( SV7 ))]]) ).
thf(599,plain,
! [SV2: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[228:[bind(SV3,$thf( lAnna_THFTYPE_i ))]]) ).
thf(600,plain,
! [SV7: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV7 @ SV7 )
= $true )
| ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[227:[bind(SV5,$thf( SV7 )),bind(SV3,$thf( lAnna_THFTYPE_i ))]]) ).
thf(604,plain,
! [SV7: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV7 @ SV7 )
= $true ) ),
inference(extuni,[status(esa)],[113:[bind(SV3,$thf( lBill_THFTYPE_i )),bind(SV5,$thf( SV7 ))]]) ).
thf(605,plain,
! [SV7: $i,SV3: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV7 @ SV7 )
= $false )
| ( ( SV3 = lAnna_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[312:[bind(SV5,$thf( SV7 ))]]) ).
thf(606,plain,
! [SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $false )
| ( ( SV5 = SV7 )
= $true ) ),
inference(extuni,[status(esa)],[118:[bind(SV3,$thf( lAnna_THFTYPE_i ))]]) ).
thf(607,plain,
! [SV3: $i,SV7: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV7 @ SV7 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV3 = lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[314:[bind(SV5,$thf( SV7 ))]]) ).
thf(608,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV5 = SV7 )
= $true ) ),
inference(extuni,[status(esa)],[123:[bind(SV3,$thf( lBill_THFTYPE_i ))]]) ).
thf(609,plain,
! [SV7: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV7 @ SV7 )
= $true ) ),
inference(extuni,[status(esa)],[128:[bind(SV3,$thf( lAnna_THFTYPE_i )),bind(SV5,$thf( SV7 ))]]) ).
thf(613,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV31 @ SV57 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[432]) ).
thf(614,plain,
! [SV3: $i,SV57: $i,SV31: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV31 @ SV57 )
= $true ) ),
inference(sim,[status(thm)],[510]) ).
thf(615,plain,
! [SV3: $i,SV31: $i,SV1: $i > $i > $o,SV71: $i] :
( ( ( SV1 @ SV31 @ SV71 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[512]) ).
thf(616,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV36 @ SV62 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[451]) ).
thf(617,plain,
! [SV3: $i,SV62: $i,SV36: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV36 @ SV62 )
= $true ) ),
inference(sim,[status(thm)],[529]) ).
thf(618,plain,
! [SV3: $i,SV36: $i,SV2: $i > $i > $o,SV76: $i] :
( ( ( SV2 @ SV36 @ SV76 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[531]) ).
thf(619,plain,
! [SV3: $i,SV5: $i,SV1: $i > $i > $o,SV41: $i] :
( ( ( SV1 @ SV5 @ SV41 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[190]) ).
thf(620,plain,
! [SV3: $i,SV5: $i,SV2: $i > $i > $o,SV46: $i] :
( ( ( SV2 @ SV5 @ SV46 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[199]) ).
thf(621,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $true ) ),
inference(sim,[status(thm)],[210]) ).
thf(622,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV7 )
= $true ) ),
inference(sim,[status(thm)],[219]) ).
thf(623,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[109]) ).
thf(624,plain,
! [SV3: $i,SV7: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV7 )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[124]) ).
thf(625,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,624,623,622,621,620,619,618,617,616,615,614,613,609,608,607,606,605,604,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,583,582,580,579,577,576,575,574,573,571,570,568,567,566,564,562,560,559,558,557,555,553,552,551,550,549,493,490,489,487,485,484,316,315,313,311,310,309,306,304,303,301,300,299,298,296,295,293,292,291,168,167,166,165,162,161,144,143,142,141,67,66,54,51,48,39,38,37,34,33,32,30,29,28]) ).
thf(626,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR139^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.19 % Computer : n014.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.20 % DateTime : Tue Oct 6 18:55:11 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.24/0.55
% 1.24/0.55 No.of.Axioms: 10
% 1.24/0.55
% 1.24/0.55 Length.of.Defs: 0
% 1.24/0.55
% 1.24/0.55 Contains.Choice.Funs: false
% 1.24/0.55 .........
% 1.24/0.55
% 1.24/0.55 ********************************
% 1.24/0.55 * All subproblems solved! *
% 1.24/0.55 ********************************
% 1.24/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:625,loop_count:0,foatp_calls:2,translation:fof_experiment)
% 1.24/0.55
% 1.24/0.55 %**** Beginning of derivation protocol ****
% 1.24/0.55 % SZS output start CNFRefutation
% See solution above
% 1.24/0.56
% 1.24/0.56 %**** End of derivation protocol ****
% 1.24/0.56 %**** no. of clauses in derivation: 446 ****
% 1.24/0.56 %**** clause counter: 625 ****
% 1.24/0.56
% 1.24/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:625,loop_count:0,foatp_calls:2,translation:fof_experiment)
%------------------------------------------------------------------------------