%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR139^2 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 3.10s 0.72s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 45
% Syntax : Number of formulae : 736 ( 169 unt; 0 typ; 0 def)
% Number of atoms : 5316 (2524 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 6186 ( 829 ~;1563 |; 28 &;3740 @)
% ( 4 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 1209 (1209 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 2329 ( 91 ^;2224 !; 14 ?;2329 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_attribute_THFTYPE_i,type,
attribute_THFTYPE_i: $i ).
thf(tp_domain_THFTYPE_IIiioIiioI,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IiiioI,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_equal_THFTYPE_i,type,
equal_THFTYPE_i: $i ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_instance_THFTYPE_IIiioIioI,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiooIioI,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IiioI,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(tp_lAsymmetricRelation_THFTYPE_i,type,
lAsymmetricRelation_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_lBinaryPredicate_THFTYPE_i,type,
lBinaryPredicate_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_lOrganism_THFTYPE_i,type,
lOrganism_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_n1_THFTYPE_i,type,
n1_THFTYPE_i: $i ).
thf(tp_n2_THFTYPE_i,type,
n2_THFTYPE_i: $i ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_range_THFTYPE_IiioI,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_sK1_PARENT,type,
sK1_PARENT: $i > $i ).
thf(tp_subclass_THFTYPE_IiioI,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subrelation_THFTYPE_IIioIIioIoI,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(tp_subrelation_THFTYPE_IiioI,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_043) ).
thf(2,axiom,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042) ).
thf(3,axiom,
instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_041) ).
thf(4,axiom,
instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_040) ).
thf(5,axiom,
instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_039) ).
thf(6,axiom,
instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_038) ).
thf(7,axiom,
domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_037) ).
thf(8,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_036) ).
thf(9,axiom,
domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_035) ).
thf(10,axiom,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_034) ).
thf(11,axiom,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_033) ).
thf(12,axiom,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_032) ).
thf(13,axiom,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_031) ).
thf(14,axiom,
! [NUMBER: $i,PRED1: $i,CLASS1: $i,PRED2: $i] :
( ( ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 )
& ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 ) )
=> ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_030) ).
thf(15,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_029) ).
thf(16,axiom,
! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
( ( ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
& ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 ) )
=> ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_028) ).
thf(17,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_027) ).
thf(18,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026) ).
thf(19,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_025) ).
thf(20,axiom,
! [REL2: $i,CLASS1: $i,REL1: $i] :
( ( ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
& ( range_THFTYPE_IiioI @ REL2 @ CLASS1 ) )
=> ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024) ).
thf(21,axiom,
! [CLASS: $i,CHILD: $i,PARENT: $i] :
( ( ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
& ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
& ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
=> ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023) ).
thf(22,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022) ).
thf(23,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_021) ).
thf(24,axiom,
! [CLASS1: $i,REL: $i,CLASS2: $i] :
( ( ( range_THFTYPE_IiioI @ REL @ CLASS1 )
& ( range_THFTYPE_IiioI @ REL @ CLASS2 ) )
=> ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_020) ).
thf(25,axiom,
! [THING2: $i,THING1: $i] :
( ( THING1 = THING2 )
=> ! [CLASS: $i] :
( ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
<=> ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019) ).
thf(26,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_018) ).
thf(27,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_017) ).
thf(28,axiom,
! [TIME: $i,SITUATION: $o] :
( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
=> ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_016) ).
thf(29,axiom,
! [ORGANISM: $i] :
( ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
=> ? [PARENT: $i] : ( parent_THFTYPE_IiioI @ ORGANISM @ PARENT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_015) ).
thf(30,axiom,
! [REL2: $i > $o,ROW: $i,REL1: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 )
& ( REL1 @ ROW ) )
=> ( REL2 @ ROW ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_014) ).
thf(31,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_013) ).
thf(32,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_012) ).
thf(33,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_011) ).
thf(34,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_010) ).
thf(35,axiom,
! [CLASS1: $i,CLASS2: $i] :
( ( CLASS1 = CLASS2 )
=> ! [THING: $i] :
( ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
<=> ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_009) ).
thf(36,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008) ).
thf(37,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).
thf(38,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( subclass_THFTYPE_IiioI @ X @ Y )
& ( instance_THFTYPE_IiioI @ Z @ X ) )
=> ( instance_THFTYPE_IiioI @ Z @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).
thf(39,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(40,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(41,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(42,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(43,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(44,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(45,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/sandbox2/benchmark/theBenchmark.p',con) ).
thf(46,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)],[45]) ).
thf(47,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)],[46]) ).
thf(48,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(49,plain,
( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(50,plain,
( ( instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(51,plain,
( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(52,plain,
( ( instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(53,plain,
( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(54,plain,
( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(55,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(56,plain,
( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(57,plain,
( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(58,plain,
( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(59,plain,
( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(60,plain,
( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(61,plain,
( ( ! [NUMBER: $i,PRED1: $i,CLASS1: $i,PRED2: $i] :
( ( ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 )
& ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 ) )
=> ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(62,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(63,plain,
( ( ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
( ( ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
& ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 ) )
=> ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(64,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(65,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(66,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(67,plain,
( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
( ( ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
& ( range_THFTYPE_IiioI @ REL2 @ CLASS1 ) )
=> ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(68,plain,
( ( ! [CLASS: $i,CHILD: $i,PARENT: $i] :
( ( ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
& ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
& ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
=> ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(69,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(70,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(71,plain,
( ( ! [CLASS1: $i,REL: $i,CLASS2: $i] :
( ( ( range_THFTYPE_IiioI @ REL @ CLASS1 )
& ( range_THFTYPE_IiioI @ REL @ CLASS2 ) )
=> ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(72,plain,
( ( ! [THING2: $i,THING1: $i] :
( ( THING1 = THING2 )
=> ! [CLASS: $i] :
( ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
<=> ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(73,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(74,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(75,plain,
( ( ! [TIME: $i,SITUATION: $o] :
( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
=> ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(76,plain,
( ( ! [ORGANISM: $i] :
( ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
=> ? [PARENT: $i] : ( parent_THFTYPE_IiioI @ ORGANISM @ PARENT ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(77,plain,
( ( ! [REL2: $i > $o,ROW: $i,REL1: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 )
& ( REL1 @ ROW ) )
=> ( REL2 @ ROW ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(78,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(79,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(80,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(81,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(82,plain,
( ( ! [CLASS1: $i,CLASS2: $i] :
( ( CLASS1 = CLASS2 )
=> ! [THING: $i] :
( ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
<=> ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(83,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(84,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(85,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( subclass_THFTYPE_IiioI @ X @ Y )
& ( instance_THFTYPE_IiioI @ Z @ X ) )
=> ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(86,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(87,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(88,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(89,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(90,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(91,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(92,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)],[47]) ).
thf(93,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)],[92]) ).
thf(94,plain,
( ( ! [NUMBER: $i,PRED1: $i,CLASS1: $i] :
( ! [PRED2: $i] :
( ~ ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 )
| ~ ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 ) )
| ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(95,plain,
( ( ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
( ~ ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
| ~ ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(96,plain,
( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
( ~ ( range_THFTYPE_IiioI @ REL2 @ CLASS1 )
| ~ ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
| ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(97,plain,
( ( ! [CLASS: $i,CHILD: $i] :
( ! [PARENT: $i] :
( ~ ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
| ~ ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
| ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(98,plain,
( ( ! [CLASS1: $i,REL: $i,CLASS2: $i] :
( ~ ( range_THFTYPE_IiioI @ REL @ CLASS1 )
| ~ ( range_THFTYPE_IiioI @ REL @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(99,plain,
( ( ! [THING2: $i,THING1: $i] :
( ( THING1 != THING2 )
| ( ! [CLASS: $i] :
( ~ ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
| ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) )
& ! [CLASS: $i] :
( ~ ( instance_THFTYPE_IiioI @ THING2 @ CLASS )
| ( instance_THFTYPE_IiioI @ THING1 @ CLASS ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(100,plain,
( ( ! [TIME: $i,SITUATION: $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
| ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(101,plain,
( ( ! [ORGANISM: $i] :
( ~ ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ ORGANISM @ ( sK1_PARENT @ ORGANISM ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(102,plain,
( ( ! [REL2: $i > $o,ROW: $i] :
( ! [REL1: $i > $o] :
( ~ ( REL1 @ ROW )
| ~ ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 ) )
| ( REL2 @ ROW ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(103,plain,
( ( ! [CLASS1: $i,CLASS2: $i] :
( ( CLASS1 != CLASS2 )
| ( ! [THING: $i] :
( ~ ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
| ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) )
& ! [THING: $i] :
( ~ ( instance_THFTYPE_IiioI @ THING @ CLASS2 )
| ( instance_THFTYPE_IiioI @ THING @ CLASS1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(104,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( instance_THFTYPE_IiioI @ Z @ X )
| ~ ( subclass_THFTYPE_IiioI @ X @ Y )
| ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(105,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(106,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(107,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(108,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(109,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(110,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(111,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( instance_THFTYPE_IiioI @ Z @ X )
| ~ ( subclass_THFTYPE_IiioI @ X @ Y )
| ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(112,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(113,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(114,plain,
( ( ! [CLASS1: $i,CLASS2: $i] :
( ( CLASS1 != CLASS2 )
| ( ! [THING: $i] :
( ~ ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
| ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) )
& ! [THING: $i] :
( ~ ( instance_THFTYPE_IiioI @ THING @ CLASS2 )
| ( instance_THFTYPE_IiioI @ THING @ CLASS1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(115,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(116,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(117,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(118,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(119,plain,
( ( ! [REL2: $i > $o,ROW: $i] :
( ! [REL1: $i > $o] :
( ~ ( REL1 @ ROW )
| ~ ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 ) )
| ( REL2 @ ROW ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(120,plain,
( ( ! [ORGANISM: $i] :
( ~ ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ ORGANISM @ ( sK1_PARENT @ ORGANISM ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(121,plain,
( ( ! [TIME: $i,SITUATION: $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
| ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(122,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(123,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(124,plain,
( ( ! [THING2: $i,THING1: $i] :
( ( THING1 != THING2 )
| ( ! [CLASS: $i] :
( ~ ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
| ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) )
& ! [CLASS: $i] :
( ~ ( instance_THFTYPE_IiioI @ THING2 @ CLASS )
| ( instance_THFTYPE_IiioI @ THING1 @ CLASS ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(125,plain,
( ( ! [CLASS1: $i,REL: $i,CLASS2: $i] :
( ~ ( range_THFTYPE_IiioI @ REL @ CLASS1 )
| ~ ( range_THFTYPE_IiioI @ REL @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(126,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(127,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(128,plain,
( ( ! [CLASS: $i,CHILD: $i] :
( ! [PARENT: $i] :
( ~ ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
| ~ ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
| ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(129,plain,
( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
( ~ ( range_THFTYPE_IiioI @ REL2 @ CLASS1 )
| ~ ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
| ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(130,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(131,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(132,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(133,plain,
( ( ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
( ~ ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
| ~ ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
| ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(134,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(135,plain,
( ( ! [NUMBER: $i,PRED1: $i,CLASS1: $i] :
( ! [PRED2: $i] :
( ~ ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 )
| ~ ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 ) )
| ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(136,plain,
( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(137,plain,
( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(138,plain,
( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(139,plain,
( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(140,plain,
( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(141,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(142,plain,
( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(143,plain,
( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(144,plain,
( ( instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(145,plain,
( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(146,plain,
( ( instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(147,plain,
( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(148,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(149,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)],[93]) ).
thf(150,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( instance_THFTYPE_IiioI @ SX2 @ SX0 )
| ( instance_THFTYPE_IiioI @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( instance_THFTYPE_IiioI @ SX2 @ SX1 )
| ( instance_THFTYPE_IiioI @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(151,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 != SX0 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( instance_THFTYPE_IiioI @ SX1 @ SX2 )
| ( instance_THFTYPE_IiioI @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( instance_THFTYPE_IiioI @ SX0 @ SX2 )
| ( instance_THFTYPE_IiioI @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(152,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(153,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(154,plain,
! [SV1: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY37 @ SV1 )
| ~ ( subclass_THFTYPE_IiioI @ SV1 @ SY36 )
| ( instance_THFTYPE_IiioI @ SY37 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(155,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(156,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(157,plain,
! [SV2: $i > $o] :
( ( ! [SY38: $i] :
( ! [SY39: $i > $o] :
( ~ ( SY39 @ SY38 )
| ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY39 @ SV2 ) )
| ( SV2 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(158,plain,
! [SV3: $i] :
( ( ~ ( instance_THFTYPE_IiioI @ SV3 @ lOrganism_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ SV3 @ ( sK1_PARENT @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(159,plain,
! [SV4: $i] :
( ( ! [SY40: $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SY40 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(160,plain,
! [SV5: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ~ ( range_THFTYPE_IiioI @ SY41 @ SV5 )
| ~ ( range_THFTYPE_IiioI @ SY41 @ SY42 )
| ( subclass_THFTYPE_IiioI @ SV5 @ SY42 )
| ( subclass_THFTYPE_IiioI @ SY42 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(161,plain,
! [SV6: $i] :
( ( ! [SY43: $i] :
( ! [SY44: $i] :
( ~ ( parent_THFTYPE_IiioI @ SY43 @ SY44 )
| ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ SY44 @ SV6 ) )
| ( instance_THFTYPE_IiioI @ SY43 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(162,plain,
! [SV7: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ~ ( range_THFTYPE_IiioI @ SV7 @ SY45 )
| ~ ( subrelation_THFTYPE_IiioI @ SY46 @ SV7 )
| ( range_THFTYPE_IiioI @ SY46 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(163,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(164,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(165,plain,
! [SV8: $i] :
( ( ! [SY47: $i,SY48: $i,SY49: $i] :
( ~ ( domain_THFTYPE_IiiioI @ SY48 @ SV8 @ SY47 )
| ~ ( domain_THFTYPE_IiiioI @ SY48 @ SV8 @ SY49 )
| ( subclass_THFTYPE_IiioI @ SY47 @ SY49 )
| ( subclass_THFTYPE_IiioI @ SY49 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(166,plain,
! [SV9: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ! [SY52: $i] :
( ~ ( domain_THFTYPE_IiiioI @ SY52 @ SV9 @ SY51 )
| ~ ( subrelation_THFTYPE_IiioI @ SY50 @ SY52 ) )
| ( domain_THFTYPE_IiiioI @ SY50 @ SV9 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(167,plain,
! [SV10: $i > $i > $o] :
( ( ! [SY53: $i > $i > $o] :
( ! [SY54: $i] :
( ~ ( SV10 @ SY54 @ lAnna_THFTYPE_i )
| ~ ( SY53 @ SY54 @ lBill_THFTYPE_i ) )
| ( SY53 = SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(168,plain,
! [SV11: $i] :
( ( ! [SY55: $i] :
( ( SV11 != SY55 )
| ~ ( ~ ! [SY56: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY56 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY56 @ SY55 ) )
| ~ ! [SY57: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY57 @ SY55 )
| ( instance_THFTYPE_IiioI @ SY57 @ SV11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(169,plain,
! [SV12: $i] :
( ( ! [SY58: $i] :
( ( SY58 != SV12 )
| ~ ( ~ ! [SY59: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY58 @ SY59 )
| ( instance_THFTYPE_IiioI @ SV12 @ SY59 ) )
| ~ ! [SY60: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY60 )
| ( instance_THFTYPE_IiioI @ SY58 @ SY60 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(170,plain,
! [SV13: $i,SV1: $i] :
( ( ! [SY61: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY61 @ SV1 )
| ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 )
| ( instance_THFTYPE_IiioI @ SY61 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(171,plain,
! [SV2: $i > $o,SV14: $i] :
( ( ! [SY62: $i > $o] :
( ~ ( SY62 @ SV14 )
| ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY62 @ SV2 ) )
| ( SV2 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(172,plain,
! [SV3: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV3 @ lOrganism_THFTYPE_i ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV3 @ ( sK1_PARENT @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(173,plain,
! [SV15: $o,SV4: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[159]) ).
thf(174,plain,
! [SV4: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[159]) ).
thf(175,plain,
! [SV4: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[159]) ).
thf(176,plain,
! [SV5: $i,SV16: $i] :
( ( ! [SY63: $i] :
( ~ ( range_THFTYPE_IiioI @ SV16 @ SV5 )
| ~ ( range_THFTYPE_IiioI @ SV16 @ SY63 )
| ( subclass_THFTYPE_IiioI @ SV5 @ SY63 )
| ( subclass_THFTYPE_IiioI @ SY63 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(177,plain,
! [SV6: $i,SV17: $i] :
( ( ! [SY64: $i] :
( ~ ( parent_THFTYPE_IiioI @ SV17 @ SY64 )
| ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ SY64 @ SV6 ) )
| ( instance_THFTYPE_IiioI @ SV17 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(178,plain,
! [SV18: $i,SV7: $i] :
( ( ! [SY65: $i] :
( ~ ( range_THFTYPE_IiioI @ SV7 @ SV18 )
| ~ ( subrelation_THFTYPE_IiioI @ SY65 @ SV7 )
| ( range_THFTYPE_IiioI @ SY65 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(179,plain,
! [SV19: $i,SV8: $i] :
( ( ! [SY66: $i,SY67: $i] :
( ~ ( domain_THFTYPE_IiiioI @ SY66 @ SV8 @ SV19 )
| ~ ( domain_THFTYPE_IiiioI @ SY66 @ SV8 @ SY67 )
| ( subclass_THFTYPE_IiioI @ SV19 @ SY67 )
| ( subclass_THFTYPE_IiioI @ SY67 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(180,plain,
! [SV20: $i,SV9: $i] :
( ( ! [SY68: $i] :
( ! [SY69: $i] :
( ~ ( domain_THFTYPE_IiiioI @ SY69 @ SV9 @ SY68 )
| ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SY69 ) )
| ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(181,plain,
! [SV21: $i > $i > $o,SV10: $i > $i > $o] :
( ( ! [SY70: $i] :
( ~ ( SV10 @ SY70 @ lAnna_THFTYPE_i )
| ~ ( SV21 @ SY70 @ lBill_THFTYPE_i ) )
| ( SV21 = SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(182,plain,
! [SV22: $i,SV11: $i] :
( ( ( SV11 != SV22 )
| ~ ( ~ ! [SY71: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY71 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY71 @ SV22 ) )
| ~ ! [SY72: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV22 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(183,plain,
! [SV12: $i,SV23: $i] :
( ( ( SV23 != SV12 )
| ~ ( ~ ! [SY73: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV23 @ SY73 )
| ( instance_THFTYPE_IiioI @ SV12 @ SY73 ) )
| ~ ! [SY74: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY74 )
| ( instance_THFTYPE_IiioI @ SV23 @ SY74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(184,plain,
! [SV13: $i,SV1: $i,SV24: $i] :
( ( ~ ( instance_THFTYPE_IiioI @ SV24 @ SV1 )
| ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 )
| ( instance_THFTYPE_IiioI @ SV24 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(185,plain,
! [SV2: $i > $o,SV14: $i] :
( ( ( ! [SY62: $i > $o] :
( ~ ( SY62 @ SV14 )
| ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY62 @ SV2 ) ) )
= $true )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(186,plain,
! [SV3: $i] :
( ( ( instance_THFTYPE_IiioI @ SV3 @ lOrganism_THFTYPE_i )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV3 @ ( sK1_PARENT @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(187,plain,
! [SV15: $o,SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(188,plain,
! [SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(189,plain,
! [SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(190,plain,
! [SV25: $i,SV5: $i,SV16: $i] :
( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV5 )
| ~ ( range_THFTYPE_IiioI @ SV16 @ SV25 )
| ( subclass_THFTYPE_IiioI @ SV5 @ SV25 )
| ( subclass_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(191,plain,
! [SV6: $i,SV17: $i] :
( ( ( ! [SY64: $i] :
( ~ ( parent_THFTYPE_IiioI @ SV17 @ SY64 )
| ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ SY64 @ SV6 ) ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(192,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ~ ( range_THFTYPE_IiioI @ SV7 @ SV18 )
| ~ ( subrelation_THFTYPE_IiioI @ SV26 @ SV7 )
| ( range_THFTYPE_IiioI @ SV26 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(193,plain,
! [SV19: $i,SV8: $i,SV27: $i] :
( ( ! [SY75: $i] :
( ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV19 )
| ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SY75 )
| ( subclass_THFTYPE_IiioI @ SV19 @ SY75 )
| ( subclass_THFTYPE_IiioI @ SY75 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(194,plain,
! [SV20: $i,SV28: $i,SV9: $i] :
( ( ! [SY76: $i] :
( ~ ( domain_THFTYPE_IiiioI @ SY76 @ SV9 @ SV28 )
| ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SY76 ) )
| ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(195,plain,
! [SV21: $i > $i > $o,SV10: $i > $i > $o] :
( ( ( ! [SY70: $i] :
( ~ ( SV10 @ SY70 @ lAnna_THFTYPE_i )
| ~ ( SV21 @ SY70 @ lBill_THFTYPE_i ) ) )
= $true )
| ( ( SV21 = SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(196,plain,
! [SV22: $i,SV11: $i] :
( ( ( SV11 != SV22 )
= $true )
| ( ( ~ ( ~ ! [SY71: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY71 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY71 @ SV22 ) )
| ~ ! [SY72: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV22 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(197,plain,
! [SV12: $i,SV23: $i] :
( ( ( SV23 != SV12 )
= $true )
| ( ( ~ ( ~ ! [SY73: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV23 @ SY73 )
| ( instance_THFTYPE_IiioI @ SV12 @ SY73 ) )
| ~ ! [SY74: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY74 )
| ( instance_THFTYPE_IiioI @ SV23 @ SY74 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(198,plain,
! [SV13: $i,SV1: $i,SV24: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV24 @ SV1 )
| ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV24 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(199,plain,
! [SV2: $i > $o,SV14: $i,SV29: $i > $o] :
( ( ( ~ ( SV29 @ SV14 )
| ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV29 @ SV2 ) )
= $true )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(200,plain,
! [SV15: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(201,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(202,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(203,plain,
! [SV25: $i,SV5: $i,SV16: $i] :
( ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV5 )
| ~ ( range_THFTYPE_IiioI @ SV16 @ SV25 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV25 )
| ( subclass_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(204,plain,
! [SV6: $i,SV30: $i,SV17: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
| ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(205,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( range_THFTYPE_IiioI @ SV7 @ SV18 )
| ~ ( subrelation_THFTYPE_IiioI @ SV26 @ SV7 ) )
= $true )
| ( ( range_THFTYPE_IiioI @ SV26 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(206,plain,
! [SV31: $i,SV19: $i,SV8: $i,SV27: $i] :
( ( ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV19 )
| ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(207,plain,
! [SV20: $i,SV28: $i,SV9: $i] :
( ( ( ! [SY76: $i] :
( ~ ( domain_THFTYPE_IiiioI @ SY76 @ SV9 @ SV28 )
| ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SY76 ) ) )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(208,plain,
! [SV21: $i > $i > $o,SV32: $i,SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ SV32 @ lAnna_THFTYPE_i )
| ~ ( SV21 @ SV32 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV21 = SV10 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(209,plain,
! [SV22: $i,SV11: $i] :
( ( ( SV11 = SV22 )
= $false )
| ( ( ~ ( ~ ! [SY71: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY71 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY71 @ SV22 ) )
| ~ ! [SY72: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV22 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(210,plain,
! [SV12: $i,SV23: $i] :
( ( ( SV23 = SV12 )
= $false )
| ( ( ~ ( ~ ! [SY73: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV23 @ SY73 )
| ( instance_THFTYPE_IiioI @ SV12 @ SY73 ) )
| ~ ! [SY74: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY74 )
| ( instance_THFTYPE_IiioI @ SV23 @ SY74 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(211,plain,
! [SV13: $i,SV1: $i,SV24: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV24 @ SV1 ) )
= $true )
| ( ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV24 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(212,plain,
! [SV2: $i > $o,SV14: $i,SV29: $i > $o] :
( ( ( ~ ( SV29 @ SV14 ) )
= $true )
| ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV29 @ SV2 ) )
= $true )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(213,plain,
! [SV15: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(214,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(215,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(216,plain,
! [SV25: $i,SV5: $i,SV16: $i] :
( ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV5 ) )
= $true )
| ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV25 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV25 )
| ( subclass_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(217,plain,
! [SV6: $i,SV30: $i,SV17: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
| ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i ) )
= $true )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(218,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( range_THFTYPE_IiioI @ SV7 @ SV18 ) )
= $true )
| ( ( ~ ( subrelation_THFTYPE_IiioI @ SV26 @ SV7 ) )
= $true )
| ( ( range_THFTYPE_IiioI @ SV26 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(219,plain,
! [SV31: $i,SV19: $i,SV8: $i,SV27: $i] :
( ( ( ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV19 )
| ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV31 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(220,plain,
! [SV20: $i,SV28: $i,SV9: $i,SV33: $i] :
( ( ( ~ ( domain_THFTYPE_IiiioI @ SV33 @ SV9 @ SV28 )
| ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SV33 ) )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(221,plain,
! [SV21: $i > $i > $o,SV32: $i,SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ SV32 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV21 @ SV32 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV21 = SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV22: $i,SV11: $i] :
( ( ( ~ ! [SY71: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY71 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY71 @ SV22 ) )
| ~ ! [SY72: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV22 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) )
= $false )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV12: $i,SV23: $i] :
( ( ( ~ ! [SY73: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV23 @ SY73 )
| ( instance_THFTYPE_IiioI @ SV12 @ SY73 ) )
| ~ ! [SY74: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY74 )
| ( instance_THFTYPE_IiioI @ SV23 @ SY74 ) ) )
= $false )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(224,plain,
! [SV13: $i,SV1: $i,SV24: $i] :
( ( ( instance_THFTYPE_IiioI @ SV24 @ SV1 )
= $false )
| ( ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV24 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(225,plain,
! [SV2: $i > $o,SV14: $i,SV29: $i > $o] :
( ( ( SV29 @ SV14 )
= $false )
| ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV29 @ SV2 ) )
= $true )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(226,plain,
! [SV25: $i,SV5: $i,SV16: $i] :
( ( ( range_THFTYPE_IiioI @ SV16 @ SV5 )
= $false )
| ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV25 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV25 )
| ( subclass_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(227,plain,
! [SV6: $i,SV30: $i,SV17: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV17 @ SV30 ) )
= $true )
| ( ( ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i ) )
= $true )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(228,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ( range_THFTYPE_IiioI @ SV7 @ SV18 )
= $false )
| ( ( ~ ( subrelation_THFTYPE_IiioI @ SV26 @ SV7 ) )
= $true )
| ( ( range_THFTYPE_IiioI @ SV26 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(229,plain,
! [SV31: $i,SV19: $i,SV8: $i,SV27: $i] :
( ( ( ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV19 ) )
= $true )
| ( ( ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV31 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(230,plain,
! [SV20: $i,SV28: $i,SV9: $i,SV33: $i] :
( ( ( ~ ( domain_THFTYPE_IiiioI @ SV33 @ SV9 @ SV28 ) )
= $true )
| ( ( ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SV33 ) )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(231,plain,
! [SV21: $i > $i > $o,SV32: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV21 @ SV32 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV21 = SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(232,plain,
! [SV22: $i,SV11: $i] :
( ( ( ~ ! [SY71: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY71 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY71 @ SV22 ) ) )
= $false )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(233,plain,
! [SV11: $i,SV22: $i] :
( ( ( ~ ! [SY72: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV22 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) )
= $false )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(234,plain,
! [SV12: $i,SV23: $i] :
( ( ( ~ ! [SY73: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV23 @ SY73 )
| ( instance_THFTYPE_IiioI @ SV12 @ SY73 ) ) )
= $false )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(235,plain,
! [SV23: $i,SV12: $i] :
( ( ( ~ ! [SY74: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY74 )
| ( instance_THFTYPE_IiioI @ SV23 @ SY74 ) ) )
= $false )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(236,plain,
! [SV24: $i,SV13: $i,SV1: $i] :
( ( ( subclass_THFTYPE_IiioI @ SV1 @ SV13 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV24 @ SV1 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV24 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(237,plain,
! [SV14: $i,SV2: $i > $o,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29 @ SV2 )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(238,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( range_THFTYPE_IiioI @ SV16 @ SV25 )
= $false )
| ( ( range_THFTYPE_IiioI @ SV16 @ SV5 )
= $false )
| ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV25 )
| ( subclass_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV6: $i,SV30: $i,SV17: $i] :
( ( ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
= $false )
| ( ( ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i ) )
= $true )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV18: $i,SV7: $i,SV26: $i] :
( ( ( subrelation_THFTYPE_IiioI @ SV26 @ SV7 )
= $false )
| ( ( range_THFTYPE_IiioI @ SV7 @ SV18 )
= $false )
| ( ( range_THFTYPE_IiioI @ SV26 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV31: $i,SV19: $i,SV8: $i,SV27: $i] :
( ( ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV19 )
= $false )
| ( ( ~ ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV31 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(242,plain,
! [SV20: $i,SV28: $i,SV9: $i,SV33: $i] :
( ( ( domain_THFTYPE_IiiioI @ SV33 @ SV9 @ SV28 )
= $false )
| ( ( ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SV33 ) )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(243,plain,
! [SV10: $i > $i > $o,SV32: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 = SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(244,plain,
! [SV22: $i,SV11: $i] :
( ( ( ! [SY71: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY71 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY71 @ SV22 ) ) )
= $true )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(245,plain,
! [SV11: $i,SV22: $i] :
( ( ( ! [SY72: $i] :
( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV22 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) )
= $true )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(246,plain,
! [SV12: $i,SV23: $i] :
( ( ( ! [SY73: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV23 @ SY73 )
| ( instance_THFTYPE_IiioI @ SV12 @ SY73 ) ) )
= $true )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(247,plain,
! [SV23: $i,SV12: $i] :
( ( ( ! [SY74: $i] :
( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY74 )
| ( instance_THFTYPE_IiioI @ SV23 @ SY74 ) ) )
= $true )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(248,plain,
! [SV16: $i,SV25: $i,SV5: $i] :
( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV25 )
= $true )
| ( ( subclass_THFTYPE_IiioI @ SV25 @ SV5 )
= $true )
| ( ( range_THFTYPE_IiioI @ SV16 @ SV5 )
= $false )
| ( ( range_THFTYPE_IiioI @ SV16 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(249,plain,
! [SV30: $i,SV17: $i,SV6: $i] :
( ( ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
= $false )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(250,plain,
! [SV19: $i,SV31: $i,SV8: $i,SV27: $i] :
( ( ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV31 )
= $false )
| ( ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV19 )
= $false )
| ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(251,plain,
! [SV28: $i,SV9: $i,SV33: $i,SV20: $i] :
( ( ( subrelation_THFTYPE_IiioI @ SV20 @ SV33 )
= $false )
| ( ( domain_THFTYPE_IiiioI @ SV33 @ SV9 @ SV28 )
= $false )
| ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(252,plain,
! [SV32: $i,SV10: $i > $i > $o,SV21: $i > $i > $o] :
( ( ( ! [SV34: $i] :
( ( SV21 @ SV34 )
= ( SV10 @ SV34 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[243]) ).
thf(253,plain,
! [SV32: $i,SV10: $i > $i > $o,SV21: $i > $i > $o] :
( ( ( SV21 = SV10 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[243]) ).
thf(254,plain,
! [SV22: $i,SV11: $i,SV35: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV35 @ SV11 )
| ( instance_THFTYPE_IiioI @ SV35 @ SV22 ) )
= $true )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(255,plain,
! [SV11: $i,SV22: $i,SV36: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV36 @ SV22 )
| ( instance_THFTYPE_IiioI @ SV36 @ SV11 ) )
= $true )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(256,plain,
! [SV12: $i,SV37: $i,SV23: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV23 @ SV37 )
| ( instance_THFTYPE_IiioI @ SV12 @ SV37 ) )
= $true )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(257,plain,
! [SV23: $i,SV38: $i,SV12: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SV38 )
| ( instance_THFTYPE_IiioI @ SV23 @ SV38 ) )
= $true )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(258,plain,
! [SV17: $i,SV6: $i,SV30: $i] :
( ( ( instance_THFTYPE_IiioI @ SV30 @ SV6 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
= $false )
| ( ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(259,plain,
! [SV8: $i,SV27: $i,SV31: $i,SV19: $i] :
( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
= $true )
| ( ( subclass_THFTYPE_IiioI @ SV31 @ SV19 )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV19 )
= $false )
| ( ( domain_THFTYPE_IiiioI @ SV27 @ SV8 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(260,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 )
= ( SV10 @ SV39 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(261,plain,
! [SV22: $i,SV11: $i,SV35: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV35 @ SV11 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV35 @ SV22 )
= $true )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(262,plain,
! [SV11: $i,SV22: $i,SV36: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV36 @ SV22 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV36 @ SV11 )
= $true )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(263,plain,
! [SV12: $i,SV37: $i,SV23: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV23 @ SV37 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV12 @ SV37 )
= $true )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(264,plain,
! [SV23: $i,SV38: $i,SV12: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SV38 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV23 @ SV38 )
= $true )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(265,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV21: $i > $i > $o] :
( ( ( ! [SV40: $i] :
( ( SV21 @ SV39 @ SV40 )
= ( SV10 @ SV39 @ SV40 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[260]) ).
thf(266,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 )
= ( SV10 @ SV39 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[260]) ).
thf(267,plain,
! [SV22: $i,SV11: $i,SV35: $i] :
( ( ( instance_THFTYPE_IiioI @ SV35 @ SV11 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV35 @ SV22 )
= $true )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(268,plain,
! [SV11: $i,SV22: $i,SV36: $i] :
( ( ( instance_THFTYPE_IiioI @ SV36 @ SV22 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV36 @ SV11 )
= $true )
| ( ( SV11 = SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(269,plain,
! [SV12: $i,SV37: $i,SV23: $i] :
( ( ( instance_THFTYPE_IiioI @ SV23 @ SV37 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV12 @ SV37 )
= $true )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(270,plain,
! [SV23: $i,SV38: $i,SV12: $i] :
( ( ( instance_THFTYPE_IiioI @ SV12 @ SV38 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV23 @ SV38 )
= $true )
| ( ( SV23 = SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(271,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 @ SV41 )
= ( SV10 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(272,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV39 @ SV41 )
| ( SV10 @ SV39 @ SV41 ) )
| ~ ( ~ ( SV21 @ SV39 @ SV41 )
| ~ ( SV10 @ SV39 @ SV41 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[271]) ).
thf(273,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 @ SV41 )
= ( SV10 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[271]) ).
thf(274,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV39 @ SV41 )
| ( SV10 @ SV39 @ SV41 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV39 @ SV41 )
| ~ ( SV10 @ SV39 @ SV41 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(275,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 @ SV41 )
| ( SV10 @ SV39 @ SV41 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV39 @ SV41 )
| ~ ( SV10 @ SV39 @ SV41 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(276,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV39 @ SV41 )
| ~ ( SV10 @ SV39 @ SV41 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(277,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV39 @ SV41 )
| ~ ( SV10 @ SV39 @ SV41 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(278,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV39 @ SV41 )
| ~ ( SV10 @ SV39 @ SV41 ) )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(279,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV39 @ SV41 )
| ~ ( SV10 @ SV39 @ SV41 ) )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(281,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ SV39 @ SV41 ) )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(282,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV39 @ SV41 ) )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(285,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(286,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(289,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : $false )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV75: $i] : $false ))]]) ).
thf(290,plain,
! [SV14: $i,SV74: $i > $o,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] :
~ ( SV74 @ SX0 ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( ~ ( SV74 @ SV14 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV73: $i] : ~ ( SV74 @ SV73 ) ))]]) ).
thf(291,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lAnna_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV60: $i] : ( SV60 = lAnna_THFTYPE_i ) ))]]) ).
thf(292,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lBill_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV61: $i] : ( SV61 = lBill_THFTYPE_i ) ))]]) ).
thf(293,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lBinaryPredicate_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lBinaryPredicate_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV62: $i] : ( SV62 = lBinaryPredicate_THFTYPE_i ) ))]]) ).
thf(294,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = n2_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = n2_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV63: $i] : ( SV63 = n2_THFTYPE_i ) ))]]) ).
thf(295,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lBen_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lBen_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV64: $i] : ( SV64 = lBen_THFTYPE_i ) ))]]) ).
thf(296,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lOrganism_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lOrganism_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV65: $i] : ( SV65 = lOrganism_THFTYPE_i ) ))]]) ).
thf(297,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lSue_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV66: $i] : ( SV66 = lSue_THFTYPE_i ) ))]]) ).
thf(298,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lAsymmetricRelation_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lAsymmetricRelation_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV67: $i] : ( SV67 = lAsymmetricRelation_THFTYPE_i ) ))]]) ).
thf(299,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lMary_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV68: $i] : ( SV68 = lMary_THFTYPE_i ) ))]]) ).
thf(300,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = lBob_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV69: $i] : ( SV69 = lBob_THFTYPE_i ) ))]]) ).
thf(301,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = equal_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = equal_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV70: $i] : ( SV70 = equal_THFTYPE_i ) ))]]) ).
thf(302,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = n1_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = n1_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV71: $i] : ( SV71 = n1_THFTYPE_i ) ))]]) ).
thf(303,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : ( SX0 = attribute_THFTYPE_i ) )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( SV14 = attribute_THFTYPE_i )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV2,$thf( ^ [SV72: $i] : ( SV72 = attribute_THFTYPE_i ) ))]]) ).
thf(304,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : $true
@ SV2 )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV93: $i] : $true ))]]) ).
thf(306,plain,
! [SV14: $i,SV2: $i > $o,SV91: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 )
@ SV2 )
= $false )
| ( ( ~ ( SV91 @ SV14 ) )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV90: $i] : ~ ( SV91 @ SV90 ) ))]]) ).
thf(307,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV77: $i] : ( SV77 = lAnna_THFTYPE_i ) ))]]) ).
thf(308,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lBill_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV78: $i] : ( SV78 = lBill_THFTYPE_i ) ))]]) ).
thf(309,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lBinaryPredicate_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lBinaryPredicate_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV79: $i] : ( SV79 = lBinaryPredicate_THFTYPE_i ) ))]]) ).
thf(310,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = n2_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = n2_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV80: $i] : ( SV80 = n2_THFTYPE_i ) ))]]) ).
thf(311,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lBen_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lBen_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV81: $i] : ( SV81 = lBen_THFTYPE_i ) ))]]) ).
thf(312,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lOrganism_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lOrganism_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV82: $i] : ( SV82 = lOrganism_THFTYPE_i ) ))]]) ).
thf(313,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lSue_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV83: $i] : ( SV83 = lSue_THFTYPE_i ) ))]]) ).
thf(314,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lAsymmetricRelation_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lAsymmetricRelation_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV84: $i] : ( SV84 = lAsymmetricRelation_THFTYPE_i ) ))]]) ).
thf(315,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lMary_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV85: $i] : ( SV85 = lMary_THFTYPE_i ) ))]]) ).
thf(316,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = lBob_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV86: $i] : ( SV86 = lBob_THFTYPE_i ) ))]]) ).
thf(317,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = equal_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = equal_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV87: $i] : ( SV87 = equal_THFTYPE_i ) ))]]) ).
thf(318,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = n1_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = n1_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV88: $i] : ( SV88 = n1_THFTYPE_i ) ))]]) ).
thf(319,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = attribute_THFTYPE_i )
@ SV2 )
= $false )
| ( ( SV14 = attribute_THFTYPE_i )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV29,$thf( ^ [SV89: $i] : ( SV89 = attribute_THFTYPE_i ) ))]]) ).
thf(320,plain,
! [SV32: $i,SV10: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] : $true )
= SV10 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[253:[bind(SV21,$thf( ^ [SV49: $i] : ^ [SV50: $i] : $true ))]]) ).
thf(322,plain,
! [SV32: $i,SV10: $i > $i > $o,SV46: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] :
~ ( SV46 @ SX0 @ SX1 ) )
= SV10 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[253:[bind(SV21,$thf( ^ [SV44: $i] : ^ [SV45: $i] : ~ ( SV46 @ SV44 @ SV45 ) ))]]) ).
thf(323,plain,
! [SV32: $i,SV10: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV10 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[253:[bind(SV21,$thf( ^ [SY77: $i] : ^ [SY78: $i] : ( SY77 != SY78 ) ))]]) ).
thf(324,plain,
! [SV32: $i,SV10: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV10 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[253:[bind(SV21,$thf( ^ [SV43: $i] : ^ [SV42: $i] : ( SV43 = SV42 ) ))]]) ).
thf(325,plain,
! [SV32: $i,SV21: $i > $i > $o] :
( ( ( SV21
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[253:[bind(SV10,$thf( ^ [SV58: $i] : ^ [SV59: $i] : $true ))]]) ).
thf(327,plain,
! [SV32: $i,SV55: $i > $i > $o,SV21: $i > $i > $o] :
( ( ( SV21
= ( ^ [SX0: $i,SX1: $i] :
~ ( SV55 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[253:[bind(SV10,$thf( ^ [SV53: $i] : ^ [SV54: $i] : ~ ( SV55 @ SV53 @ SV54 ) ))]]) ).
thf(328,plain,
! [SV32: $i,SV21: $i > $i > $o] :
( ( ( SV21
= ( ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[253:[bind(SV10,$thf( ^ [SY88: $i] : ^ [SY89: $i] : ( SY88 != SY89 ) ))]]) ).
thf(329,plain,
! [SV32: $i,SV21: $i > $i > $o] :
( ( ( SV21
= ( ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[253:[bind(SV10,$thf( ^ [SV52: $i] : ^ [SV51: $i] : ( SV52 = SV51 ) ))]]) ).
thf(330,plain,
! [SV32: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( ( ^ [SX0: $i] : $true )
= ( SV10 @ SV39 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[266:[bind(SV21,$thf( ^ [SV49: $i] : ^ [SV50: $i] : $true ))]]) ).
thf(332,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV46: $i > $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV46 @ SV39 @ SX0 ) )
= ( SV10 @ SV39 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[266:[bind(SV21,$thf( ^ [SV44: $i] : ^ [SV45: $i] : ~ ( SV46 @ SV44 @ SV45 ) ))]]) ).
thf(333,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i] :
( ( ( ( ^ [SX0: $i] : ( SV39 != SX0 ) )
= ( SV10 @ SV39 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[266:[bind(SV21,$thf( ^ [SY77: $i] : ^ [SY78: $i] : ( SY77 != SY78 ) ))]]) ).
thf(334,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i] :
( ( ( ( ^ [SX0: $i] : ( SV39 = SX0 ) )
= ( SV10 @ SV39 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[266:[bind(SV21,$thf( ^ [SV43: $i] : ^ [SV42: $i] : ( SV43 = SV42 ) ))]]) ).
thf(335,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 )
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[266:[bind(SV10,$thf( ^ [SV58: $i] : ^ [SV59: $i] : $true ))]]) ).
thf(337,plain,
! [SV32: $i,SV55: $i > $i > $o,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 )
= ( ^ [SX0: $i] :
~ ( SV55 @ SV39 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[266:[bind(SV10,$thf( ^ [SV53: $i] : ^ [SV54: $i] : ~ ( SV55 @ SV53 @ SV54 ) ))]]) ).
thf(338,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 )
= ( ^ [SX0: $i] : ( SV39 != SX0 ) ) )
= $true )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[266:[bind(SV10,$thf( ^ [SY88: $i] : ^ [SY89: $i] : ( SY88 != SY89 ) ))]]) ).
thf(339,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 )
= ( ^ [SX0: $i] : ( SV39 = SX0 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[266:[bind(SV10,$thf( ^ [SV52: $i] : ^ [SV51: $i] : ( SV52 = SV51 ) ))]]) ).
thf(340,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( $true
= ( SV10 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV21,$thf( ^ [SV49: $i] : ^ [SV50: $i] : $true ))]]) ).
thf(342,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( ( ~ ( SV46 @ SV39 @ SV41 ) )
= ( SV10 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV21,$thf( ^ [SV44: $i] : ^ [SV45: $i] : ~ ( SV46 @ SV44 @ SV45 ) ))]]) ).
thf(343,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( ( SV39 != SV41 )
= ( SV10 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV21,$thf( ^ [SY77: $i] : ^ [SY78: $i] : ( SY77 != SY78 ) ))]]) ).
thf(344,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( ( SV39 = SV41 )
= ( SV10 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV21,$thf( ^ [SV43: $i] : ^ [SV42: $i] : ( SV43 = SV42 ) ))]]) ).
thf(345,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 @ SV41 )
= $true )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV10,$thf( ^ [SV58: $i] : ^ [SV59: $i] : $true ))]]) ).
thf(347,plain,
! [SV32: $i,SV55: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 @ SV41 )
= ( ~ ( SV55 @ SV39 @ SV41 ) ) )
= $true )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV10,$thf( ^ [SV53: $i] : ^ [SV54: $i] : ~ ( SV55 @ SV53 @ SV54 ) ))]]) ).
thf(348,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 @ SV41 )
= ( SV39 != SV41 ) )
= $true )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV10,$thf( ^ [SY88: $i] : ^ [SY89: $i] : ( SY88 != SY89 ) ))]]) ).
thf(349,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV39 @ SV41 )
= ( SV39 = SV41 ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV10,$thf( ^ [SV52: $i] : ^ [SV51: $i] : ( SV52 = SV51 ) ))]]) ).
thf(360,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[285:[bind(SV21,$thf( ^ [SV49: $i] : ^ [SV50: $i] : $true ))]]) ).
thf(362,plain,
! [SV32: $i,SV46: $i > $i > $o,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( ~ ( SV46 @ SV39 @ SV41 ) )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[285:[bind(SV21,$thf( ^ [SV44: $i] : ^ [SV45: $i] : ~ ( SV46 @ SV44 @ SV45 ) ))]]) ).
thf(363,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( SV39 != SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[285:[bind(SV21,$thf( ^ [SY77: $i] : ^ [SY78: $i] : ( SY77 != SY78 ) ))]]) ).
thf(364,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( SV39 = SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[285:[bind(SV21,$thf( ^ [SV43: $i] : ^ [SV42: $i] : ( SV43 = SV42 ) ))]]) ).
thf(367,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ SV39 @ SV41 ) )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[285:[bind(SV10,$thf( ^ [SV53: $i] : ^ [SV54: $i] : ~ ( SV55 @ SV53 @ SV54 ) ))]]) ).
thf(368,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 != SV41 )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[285:[bind(SV10,$thf( ^ [SY88: $i] : ^ [SY89: $i] : ( SY88 != SY89 ) ))]]) ).
thf(369,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[285:[bind(SV10,$thf( ^ [SV52: $i] : ^ [SV51: $i] : ( SV52 = SV51 ) ))]]) ).
thf(372,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( ~ ( SV46 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[286:[bind(SV21,$thf( ^ [SV44: $i] : ^ [SV45: $i] : ~ ( SV46 @ SV44 @ SV45 ) ))]]) ).
thf(373,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 != SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[286:[bind(SV21,$thf( ^ [SY77: $i] : ^ [SY78: $i] : ( SY77 != SY78 ) ))]]) ).
thf(374,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[286:[bind(SV21,$thf( ^ [SV43: $i] : ^ [SV42: $i] : ( SV43 = SV42 ) ))]]) ).
thf(375,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[286:[bind(SV10,$thf( ^ [SV58: $i] : ^ [SV59: $i] : $true ))]]) ).
thf(377,plain,
! [SV32: $i,SV55: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( ~ ( SV55 @ SV39 @ SV41 ) )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[286:[bind(SV10,$thf( ^ [SV53: $i] : ^ [SV54: $i] : ~ ( SV55 @ SV53 @ SV54 ) ))]]) ).
thf(378,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV39 != SV41 )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[286:[bind(SV10,$thf( ^ [SY88: $i] : ^ [SY89: $i] : ( SY88 != SY89 ) ))]]) ).
thf(379,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV39 = SV41 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[286:[bind(SV10,$thf( ^ [SV52: $i] : ^ [SV51: $i] : ( SV52 = SV51 ) ))]]) ).
thf(390,plain,
! [SV15: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false )
| ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
= ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[213]) ).
thf(391,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false )
| ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
= ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) )
= $false ) ),
inference(fac_restr,[status(thm)],[214]) ).
thf(392,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false )
| ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
= ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) )
= $false ) ),
inference(fac_restr,[status(thm)],[215]) ).
thf(393,plain,
! [SV32: $i,SV10: $i > $i > $o,SV21: $i > $i > $o,SV94: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV94 )
= ( SV10 @ SV94 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[253]) ).
thf(394,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV21: $i > $i > $o,SV95: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV39 @ SV95 )
= ( SV10 @ SV39 @ SV95 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[266]) ).
thf(395,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV21: $i > $i > $o,SV95: $i] :
( ( ( SV21 @ SV39 @ SV95 )
= $true )
| ( ( SV10 @ SV39 @ SV95 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[394]) ).
thf(396,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV21: $i > $i > $o,SV95: $i] :
( ( ( SV21 @ SV39 @ SV95 )
= $false )
| ( ( SV10 @ SV39 @ SV95 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[394]) ).
thf(397,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[273]) ).
thf(398,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[273]) ).
thf(399,plain,
! [SV15: $o,SV4: $i] :
( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
| ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) )
| ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[390]) ).
thf(401,plain,
! [SV4: $i] :
( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
| ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) )
| ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[391]) ).
thf(403,plain,
! [SV4: $i] :
( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
| ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) )
| ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[392]) ).
thf(405,plain,
! [SV32: $i,SV10: $i > $i > $o,SV94: $i,SV21: $i > $i > $o] :
( ( ( ! [SV96: $i] :
( ( SV21 @ SV94 @ SV96 )
= ( SV10 @ SV94 @ SV96 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[393]) ).
thf(406,plain,
! [SV32: $i,SV10: $i > $i > $o,SV94: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV94 )
= ( SV10 @ SV94 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[393]) ).
thf(408,plain,
! [SV15: $o,SV4: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(410,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(412,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(413,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV94 @ SV97 )
= ( SV10 @ SV94 @ SV97 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(415,plain,
! [SV15: $o,SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(417,plain,
! [SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(419,plain,
! [SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(420,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV94 @ SV97 )
| ( SV10 @ SV94 @ SV97 ) )
| ~ ( ~ ( SV21 @ SV94 @ SV97 )
| ~ ( SV10 @ SV94 @ SV97 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[413]) ).
thf(421,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV94 @ SV97 )
= ( SV10 @ SV94 @ SV97 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[413]) ).
thf(423,plain,
! [SV15: $o,SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(425,plain,
! [SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(427,plain,
! [SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(428,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV94 @ SV97 )
| ( SV10 @ SV94 @ SV97 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV94 @ SV97 )
| ~ ( SV10 @ SV94 @ SV97 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(429,plain,
! [SV15: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(430,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(431,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(432,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV94 @ SV97 )
| ( SV10 @ SV94 @ SV97 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV94 @ SV97 )
| ~ ( SV10 @ SV94 @ SV97 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(433,plain,
! [SV15: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(434,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(435,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(436,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV94 @ SV97 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV94 @ SV97 )
| ~ ( SV10 @ SV94 @ SV97 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(437,plain,
! [SV32: $i,SV21: $i > $i > $o,SV97: $i,SV94: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV94 @ SV97 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV94 @ SV97 )
| ~ ( SV10 @ SV94 @ SV97 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(438,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV94 @ SV97 )
| ~ ( SV10 @ SV94 @ SV97 ) )
= $false )
| ( ( SV21 @ SV94 @ SV97 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(439,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV94 @ SV97 )
| ~ ( SV10 @ SV94 @ SV97 ) )
= $false )
| ( ( SV10 @ SV94 @ SV97 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(441,plain,
! [SV32: $i,SV21: $i > $i > $o,SV97: $i,SV94: $i,SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ SV94 @ SV97 ) )
= $false )
| ( ( SV21 @ SV94 @ SV97 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(442,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV94 @ SV97 ) )
= $false )
| ( ( SV10 @ SV94 @ SV97 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(445,plain,
! [SV32: $i,SV21: $i > $i > $o,SV97: $i,SV94: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV94 @ SV97 )
= $true )
| ( ( SV21 @ SV94 @ SV97 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(446,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV94 @ SV97 )
= $true )
| ( ( SV10 @ SV94 @ SV97 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(448,plain,
! [SV32: $i,SV10: $i > $i > $o,SV94: $i,SV21: $i > $i > $o,SV98: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV94 @ SV98 )
= ( SV10 @ SV94 @ SV98 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[406]) ).
thf(449,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV94 @ SV97 )
= $true )
| ( ( SV10 @ SV94 @ SV97 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[421]) ).
thf(450,plain,
! [SV32: $i,SV10: $i > $i > $o,SV97: $i,SV94: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV94 @ SV97 )
= $false )
| ( ( SV10 @ SV94 @ SV97 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[421]) ).
thf(451,plain,
! [SV32: $i,SV10: $i > $i > $o,SV94: $i,SV21: $i > $i > $o,SV98: $i] :
( ( ( SV21 @ SV94 @ SV98 )
= $true )
| ( ( SV10 @ SV94 @ SV98 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(452,plain,
! [SV32: $i,SV10: $i > $i > $o,SV94: $i,SV21: $i > $i > $o,SV98: $i] :
( ( ( SV21 @ SV94 @ SV98 )
= $false )
| ( ( SV10 @ SV94 @ SV98 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(465,plain,
! [SV32: $i,SV10: $i > $i > $o,SV99: $i] :
( ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SX1: $i] : $true )
= ( SV10 @ SV99 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[320]) ).
thf(467,plain,
! [SV32: $i,SV10: $i > $i > $o,SV46: $i > $i > $o,SV101: $i] :
( ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY107: $i] :
~ ( SV46 @ SV101 @ SY107 ) )
= ( SV10 @ SV101 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[322]) ).
thf(468,plain,
! [SV32: $i,SV10: $i > $i > $o,SV102: $i] :
( ( ( SV32 != lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY108: $i] : ( SV102 != SY108 ) )
= ( SV10 @ SV102 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[323]) ).
thf(469,plain,
! [SV32: $i,SV10: $i > $i > $o,SV103: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY109: $i] : ( SV103 = SY109 ) )
= ( SV10 @ SV103 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[324]) ).
thf(470,plain,
! [SV32: $i,SV21: $i > $i > $o,SV104: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( ( SV21 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[325]) ).
thf(472,plain,
! [SV32: $i,SV55: $i > $i > $o,SV21: $i > $i > $o,SV106: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ( SV21 @ SV106 )
= ( ^ [SY112: $i] :
~ ( SV55 @ SV106 @ SY112 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[327]) ).
thf(473,plain,
! [SV32: $i,SV21: $i > $i > $o,SV107: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV107 )
= ( ^ [SY113: $i] : ( SV107 != SY113 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[328]) ).
thf(474,plain,
! [SV32: $i,SV21: $i > $i > $o,SV108: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV108 )
= ( ^ [SY114: $i] : ( SV108 = SY114 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[329]) ).
thf(475,plain,
! [SV32: $i,SV39: $i,SV10: $i > $i > $o,SV109: $i] :
( ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( $true
= ( SV10 @ SV39 @ SV109 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[330]) ).
thf(477,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV46: $i > $i > $o,SV111: $i] :
( ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ~ ( SV46 @ SV39 @ SV111 ) )
= ( SV10 @ SV39 @ SV111 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[332]) ).
thf(478,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV112: $i] :
( ( ( SV32 != lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV39 != SV112 )
= ( SV10 @ SV39 @ SV112 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[333]) ).
thf(479,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV113: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV39 = SV113 )
= ( SV10 @ SV39 @ SV113 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[334]) ).
thf(480,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV114: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( ( SV21 @ SV39 @ SV114 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[335]) ).
thf(482,plain,
! [SV32: $i,SV55: $i > $i > $o,SV39: $i,SV21: $i > $i > $o,SV116: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ( SV21 @ SV39 @ SV116 )
= ( ~ ( SV55 @ SV39 @ SV116 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[337]) ).
thf(483,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV117: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV39 @ SV117 )
= ( SV39 != SV117 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[338]) ).
thf(484,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV118: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV39 @ SV118 )
= ( SV39 = SV118 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[339]) ).
thf(486,plain,
! [SV32: $i,SV39: $i,SV10: $i > $i > $o,SV109: $i] :
( ( $true = $false )
| ( ( SV10 @ SV39 @ SV109 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[475]) ).
thf(489,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV46: $i > $i > $o,SV111: $i] :
( ( ( ~ ( SV46 @ SV39 @ SV111 ) )
= $true )
| ( ( SV10 @ SV39 @ SV111 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(490,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV46: $i > $i > $o,SV111: $i] :
( ( ( ~ ( SV46 @ SV39 @ SV111 ) )
= $false )
| ( ( SV10 @ SV39 @ SV111 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(491,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV112: $i] :
( ( ( SV39 != SV112 )
= $true )
| ( ( SV10 @ SV39 @ SV112 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(492,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV112: $i] :
( ( ( SV39 != SV112 )
= $false )
| ( ( SV10 @ SV39 @ SV112 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(493,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV113: $i] :
( ( ( SV39 = SV113 )
= $true )
| ( ( SV10 @ SV39 @ SV113 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(494,plain,
! [SV32: $i,SV10: $i > $i > $o,SV39: $i,SV113: $i] :
( ( ( SV39 = SV113 )
= $false )
| ( ( SV10 @ SV39 @ SV113 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(495,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV114: $i] :
( ( ( SV21 @ SV39 @ SV114 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[480]) ).
thf(499,plain,
! [SV32: $i,SV55: $i > $i > $o,SV39: $i,SV21: $i > $i > $o,SV116: $i] :
( ( ( SV21 @ SV39 @ SV116 )
= $true )
| ( ( ~ ( SV55 @ SV39 @ SV116 ) )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(500,plain,
! [SV32: $i,SV55: $i > $i > $o,SV39: $i,SV21: $i > $i > $o,SV116: $i] :
( ( ( SV21 @ SV39 @ SV116 )
= $false )
| ( ( ~ ( SV55 @ SV39 @ SV116 ) )
= $true )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(501,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV117: $i] :
( ( ( SV21 @ SV39 @ SV117 )
= $true )
| ( ( SV39 != SV117 )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[483]) ).
thf(502,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV117: $i] :
( ( ( SV21 @ SV39 @ SV117 )
= $false )
| ( ( SV39 != SV117 )
= $true )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[483]) ).
thf(503,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV118: $i] :
( ( ( SV21 @ SV39 @ SV118 )
= $true )
| ( ( SV39 = SV118 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[484]) ).
thf(504,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV118: $i] :
( ( ( SV21 @ SV39 @ SV118 )
= $false )
| ( ( SV39 = SV118 )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[484]) ).
thf(506,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[340]) ).
thf(509,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[342]) ).
thf(510,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV39 @ SV41 ) )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[342]) ).
thf(511,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV32 != lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV39 != SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[343]) ).
thf(512,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV32 != lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV39 != SV41 )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[343]) ).
thf(513,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV39 = SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[344]) ).
thf(514,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV39 = SV41 )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[344]) ).
thf(515,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(519,plain,
! [SV32: $i,SV55: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( ~ ( SV55 @ SV39 @ SV41 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[347]) ).
thf(520,plain,
! [SV32: $i,SV55: $i > $i > $o,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( ~ ( SV55 @ SV39 @ SV41 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[347]) ).
thf(521,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV39 != SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[348]) ).
thf(522,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV39 != SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[348]) ).
thf(523,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV39 = SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[349]) ).
thf(524,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV39 = SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[349]) ).
thf(525,plain,
! [SV29: $i > $o,SV14: $i,SV74: $i > $o] :
( ( ( SV74 @ SV14 )
= $false )
| ( ( SV29 @ SV14 )
= $false )
| ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] :
~ ( SV74 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(526,plain,
! [SV2: $i > $o,SV14: $i,SV91: $i > $o] :
( ( ( SV91 @ SV14 )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 )
@ SV2 )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(527,plain,
! [SV32: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( ! [SV119: $i] :
( $true
= ( SV10 @ SV99 @ SV119 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[465]) ).
thf(528,plain,
! [SV32: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( ( ^ [SX1: $i] : $true )
= ( SV10 @ SV99 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[465]) ).
thf(531,plain,
! [SV101: $i,SV10: $i > $i > $o,SV32: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY107: $i] :
~ ( SV46 @ SV101 @ SY107 ) )
= ( SV10 @ SV101 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(532,plain,
! [SV102: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ^ [SY108: $i] : ( SV102 != SY108 ) )
= ( SV10 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(533,plain,
! [SV32: $i,SV10: $i > $i > $o,SV103: $i] :
( ( ( ! [SV121: $i] :
( ( SV103 = SV121 )
= ( SV10 @ SV103 @ SV121 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[469]) ).
thf(534,plain,
! [SV32: $i,SV10: $i > $i > $o,SV103: $i] :
( ( ( ( ^ [SY109: $i] : ( SV103 = SY109 ) )
= ( SV10 @ SV103 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[469]) ).
thf(535,plain,
! [SV32: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ! [SV122: $i] :
( ( SV21 @ SV104 @ SV122 )
= $true ) )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(536,plain,
! [SV32: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(539,plain,
! [SV106: $i,SV21: $i > $i > $o,SV32: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV106 )
= ( ^ [SY112: $i] :
~ ( SV55 @ SV106 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(540,plain,
! [SV107: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV107 )
= ( ^ [SY113: $i] : ( SV107 != SY113 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(541,plain,
! [SV32: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ! [SV124: $i] :
( ( SV21 @ SV108 @ SV124 )
= ( SV108 = SV124 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(542,plain,
! [SV32: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV108 )
= ( ^ [SY114: $i] : ( SV108 = SY114 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(543,plain,
! [SV32: $i,SV10: $i > $i > $o,SV111: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV39 @ SV111 )
= $true )
| ( ( SV10 @ SV39 @ SV111 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(544,plain,
! [SV32: $i,SV10: $i > $i > $o,SV111: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV39 @ SV111 )
= $false )
| ( ( SV10 @ SV39 @ SV111 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(545,plain,
! [SV32: $i,SV10: $i > $i > $o,SV112: $i,SV39: $i] :
( ( ( SV39 = SV112 )
= $true )
| ( ( SV10 @ SV39 @ SV112 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(546,plain,
! [SV32: $i,SV10: $i > $i > $o,SV112: $i,SV39: $i] :
( ( ( SV39 = SV112 )
= $false )
| ( ( SV10 @ SV39 @ SV112 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(547,plain,
! [SV32: $i,SV21: $i > $i > $o,SV116: $i,SV39: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV39 @ SV116 )
= $false )
| ( ( SV21 @ SV39 @ SV116 )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(548,plain,
! [SV32: $i,SV21: $i > $i > $o,SV116: $i,SV39: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV39 @ SV116 )
= $true )
| ( ( SV21 @ SV39 @ SV116 )
= $true )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(549,plain,
! [SV32: $i,SV21: $i > $i > $o,SV117: $i,SV39: $i] :
( ( ( SV39 = SV117 )
= $false )
| ( ( SV21 @ SV39 @ SV117 )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(550,plain,
! [SV32: $i,SV21: $i > $i > $o,SV117: $i,SV39: $i] :
( ( ( SV39 = SV117 )
= $true )
| ( ( SV21 @ SV39 @ SV117 )
= $true )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(551,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV39 @ SV41 ) )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(552,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV39 @ SV41 ) )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(553,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV39 != SV41 )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(554,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV39 != SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(555,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( ~ ( SV55 @ SV39 @ SV41 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(556,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( ~ ( SV55 @ SV39 @ SV41 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(557,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV39 != SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(558,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV39 != SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(563,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV39 @ SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(564,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(565,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV39 @ SV41 )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(566,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(567,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV32 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(568,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 != lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(569,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV39 @ SV41 )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( ~ ( SV55 @ SV32 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(570,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV32 != lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(575,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( $true
= ( SV10 @ SV99 @ SV125 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(577,plain,
! [SV32: $i,SV10: $i > $i > $o,SV101: $i,SV46: $i > $i > $o] :
( ( ( ! [SV127: $i] :
( ( ~ ( SV46 @ SV101 @ SV127 ) )
= ( SV10 @ SV101 @ SV127 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[531]) ).
thf(578,plain,
! [SV32: $i,SV10: $i > $i > $o,SV101: $i,SV46: $i > $i > $o] :
( ( ( ( ^ [SY107: $i] :
~ ( SV46 @ SV101 @ SY107 ) )
= ( SV10 @ SV101 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[531]) ).
thf(579,plain,
! [SV32: $i,SV10: $i > $i > $o,SV102: $i] :
( ( ( ! [SV128: $i] :
( ( SV102 != SV128 )
= ( SV10 @ SV102 @ SV128 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[532]) ).
thf(580,plain,
! [SV32: $i,SV10: $i > $i > $o,SV102: $i] :
( ( ( ( ^ [SY108: $i] : ( SV102 != SY108 ) )
= ( SV10 @ SV102 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[532]) ).
thf(581,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( ( SV103 = SV129 )
= ( SV10 @ SV103 @ SV129 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(582,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV104 @ SV130 )
= $true )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(584,plain,
! [SV32: $i,SV55: $i > $i > $o,SV106: $i,SV21: $i > $i > $o] :
( ( ( ! [SV132: $i] :
( ( SV21 @ SV106 @ SV132 )
= ( ~ ( SV55 @ SV106 @ SV132 ) ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[539]) ).
thf(585,plain,
! [SV32: $i,SV55: $i > $i > $o,SV106: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV106 )
= ( ^ [SY112: $i] :
~ ( SV55 @ SV106 @ SY112 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[539]) ).
thf(586,plain,
! [SV32: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ! [SV133: $i] :
( ( SV21 @ SV107 @ SV133 )
= ( SV107 != SV133 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[540]) ).
thf(587,plain,
! [SV32: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV107 )
= ( ^ [SY113: $i] : ( SV107 != SY113 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[540]) ).
thf(588,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV108 @ SV134 )
= ( SV108 = SV134 ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(589,plain,
! [SV111: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV111 )
= $true )
| ( ( SV46 @ SV39 @ SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(590,plain,
! [SV111: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV111 )
= $false )
| ( ( SV46 @ SV39 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(591,plain,
! [SV112: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV112 )
= $true )
| ( ( SV39 = SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(592,plain,
! [SV112: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV112 )
= $false )
| ( ( SV39 = SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(593,plain,
! [SV116: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV39 @ SV116 )
= $false )
| ( ( SV55 @ SV39 @ SV116 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(594,plain,
! [SV116: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV39 @ SV116 )
= $true )
| ( ( SV55 @ SV39 @ SV116 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(595,plain,
! [SV117: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV39 @ SV117 )
= $false )
| ( ( SV39 = SV117 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(596,plain,
! [SV117: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV39 @ SV117 )
= $true )
| ( ( SV39 = SV117 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(597,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV39 @ SV41 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(598,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV39 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(599,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(600,plain,
! [SV32: $i,SV10: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(601,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV39 @ SV41 )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(602,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV39 @ SV41 )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(603,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(604,plain,
! [SV32: $i,SV21: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(607,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( SV46 @ SV39 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(608,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( SV39 = SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(609,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV55 @ SV39 @ SV41 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(610,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV39 = SV41 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(611,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV46 @ SV39 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(612,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV39 = SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(613,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV55 @ SV39 @ SV41 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(614,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV39 = SV41 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(617,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( ~ ( $true
| ( SV10 @ SV99 @ SV125 ) )
| ~ ( ~ $true
| ~ ( SV10 @ SV99 @ SV125 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(618,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( $true
= ( SV10 @ SV99 @ SV125 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(621,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ( ~ ( SV46 @ SV101 @ SV135 ) )
= ( SV10 @ SV101 @ SV135 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(622,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( ( SV102 != SV136 )
= ( SV10 @ SV102 @ SV136 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(623,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( ~ ( ( SV103 = SV129 )
| ( SV10 @ SV103 @ SV129 ) )
| ~ ( ( SV103 != SV129 )
| ~ ( SV10 @ SV103 @ SV129 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[581]) ).
thf(624,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( ( SV103 = SV129 )
= ( SV10 @ SV103 @ SV129 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[581]) ).
thf(625,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV104 @ SV130 )
| $true )
| ~ ( ~ ( SV21 @ SV104 @ SV130 )
| ~ $true ) )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[582]) ).
thf(626,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV104 @ SV130 )
= $true )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[582]) ).
thf(629,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV106 @ SV137 )
= ( ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(630,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV107 @ SV138 )
= ( SV107 != SV138 ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(631,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV108 @ SV134 )
| ( SV108 = SV134 ) )
| ~ ( ~ ( SV21 @ SV108 @ SV134 )
| ( SV108 != SV134 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[588]) ).
thf(632,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV108 @ SV134 )
= ( SV108 = SV134 ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[588]) ).
thf(637,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( ~ ( $true
| ( SV10 @ SV99 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ $true
| ~ ( SV10 @ SV99 @ SV125 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(639,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ~ ( ~ ( SV46 @ SV101 @ SV135 )
| ( SV10 @ SV101 @ SV135 ) )
| ~ ( ~ ~ ( SV46 @ SV101 @ SV135 )
| ~ ( SV10 @ SV101 @ SV135 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(640,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ( ~ ( SV46 @ SV101 @ SV135 ) )
= ( SV10 @ SV101 @ SV135 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(641,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( ~ ( ( SV102 != SV136 )
| ( SV10 @ SV102 @ SV136 ) )
| ~ ( ~ ( ( SV102 != SV136 ) )
| ~ ( SV10 @ SV102 @ SV136 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[622]) ).
thf(642,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( ( SV102 != SV136 )
= ( SV10 @ SV102 @ SV136 ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[622]) ).
thf(643,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( ~ ( ( SV103 = SV129 )
| ( SV10 @ SV103 @ SV129 ) ) )
= $true )
| ( ( ~ ( ( SV103 != SV129 )
| ~ ( SV10 @ SV103 @ SV129 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(644,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV104 @ SV130 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV104 @ SV130 )
| ~ $true ) )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(646,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV106 @ SV137 )
| ~ ( SV55 @ SV106 @ SV137 ) )
| ~ ( ~ ( SV21 @ SV106 @ SV137 )
| ~ ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[629]) ).
thf(647,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV106 @ SV137 )
= ( ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[629]) ).
thf(648,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV107 @ SV138 )
| ( SV107 != SV138 ) )
| ~ ( ~ ( SV21 @ SV107 @ SV138 )
| ~ ( ( SV107 != SV138 ) ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[630]) ).
thf(649,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV107 @ SV138 )
= ( SV107 != SV138 ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[630]) ).
thf(650,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV108 @ SV134 )
| ( SV108 = SV134 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV108 @ SV134 )
| ( SV108 != SV134 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(651,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( $true
| ( SV10 @ SV99 @ SV125 ) )
= $false )
| ( ( ~ ( ~ $true
| ~ ( SV10 @ SV99 @ SV125 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(653,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ~ ( ~ ( SV46 @ SV101 @ SV135 )
| ( SV10 @ SV101 @ SV135 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( SV46 @ SV101 @ SV135 )
| ~ ( SV10 @ SV101 @ SV135 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(654,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( ~ ( ( SV102 != SV136 )
| ( SV10 @ SV102 @ SV136 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV102 != SV136 ) )
| ~ ( SV10 @ SV102 @ SV136 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(655,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( ( SV103 = SV129 )
| ( SV10 @ SV103 @ SV129 ) )
= $false )
| ( ( ~ ( ( SV103 != SV129 )
| ~ ( SV10 @ SV103 @ SV129 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(656,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV104 @ SV130 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV104 @ SV130 )
| ~ $true ) )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(658,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV106 @ SV137 )
| ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV106 @ SV137 )
| ~ ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(659,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV107 @ SV138 )
| ( SV107 != SV138 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV107 @ SV138 )
| ~ ( ( SV107 != SV138 ) ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(660,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV108 @ SV134 )
| ( SV108 = SV134 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV108 @ SV134 )
| ( SV108 != SV134 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(661,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ ( SV10 @ SV99 @ SV125 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(665,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ~ ( SV46 @ SV101 @ SV135 )
| ( SV10 @ SV101 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV46 @ SV101 @ SV135 )
| ~ ( SV10 @ SV101 @ SV135 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(666,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( ( SV102 != SV136 )
| ( SV10 @ SV102 @ SV136 ) )
= $false )
| ( ( ~ ( ~ ( ( SV102 != SV136 ) )
| ~ ( SV10 @ SV102 @ SV136 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(667,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( SV103 = SV129 )
= $false )
| ( ( ~ ( ( SV103 != SV129 )
| ~ ( SV10 @ SV103 @ SV129 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(668,plain,
! [SV32: $i,SV129: $i,SV103: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV103 @ SV129 )
= $false )
| ( ( ~ ( ( SV103 != SV129 )
| ~ ( SV10 @ SV103 @ SV129 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(670,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV21 @ SV104 @ SV130 )
| ~ $true ) )
= $true )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(673,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV106 @ SV137 )
| ~ ( SV55 @ SV106 @ SV137 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV106 @ SV137 )
| ~ ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(674,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV107 @ SV138 )
| ( SV107 != SV138 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV107 @ SV138 )
| ~ ( ( SV107 != SV138 ) ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(675,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV108 @ SV134 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV108 @ SV134 )
| ( SV108 != SV134 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(676,plain,
! [SV32: $i,SV21: $i > $i > $o,SV134: $i,SV108: $i] :
( ( ( SV108 = SV134 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV108 @ SV134 )
| ( SV108 != SV134 ) ) )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(677,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( ~ $true
| ~ ( SV10 @ SV99 @ SV125 ) )
= $false )
| ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(681,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ~ ( SV46 @ SV101 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV46 @ SV101 @ SV135 )
| ~ ( SV10 @ SV101 @ SV135 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(682,plain,
! [SV32: $i,SV46: $i > $i > $o,SV135: $i,SV101: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV101 @ SV135 )
= $false )
| ( ( ~ ( ~ ~ ( SV46 @ SV101 @ SV135 )
| ~ ( SV10 @ SV101 @ SV135 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(683,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( SV102 != SV136 )
= $false )
| ( ( ~ ( ~ ( ( SV102 != SV136 ) )
| ~ ( SV10 @ SV102 @ SV136 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(684,plain,
! [SV32: $i,SV136: $i,SV102: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV102 @ SV136 )
= $false )
| ( ( ~ ( ~ ( ( SV102 != SV136 ) )
| ~ ( SV10 @ SV102 @ SV136 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(685,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( ( SV103 != SV129 )
| ~ ( SV10 @ SV103 @ SV129 ) )
= $false )
| ( ( SV103 = SV129 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(686,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( ( SV103 != SV129 )
| ~ ( SV10 @ SV103 @ SV129 ) )
= $false )
| ( ( SV10 @ SV103 @ SV129 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(688,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV104 @ SV130 )
| ~ $true )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(691,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV106 @ SV137 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV106 @ SV137 )
| ~ ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(692,plain,
! [SV32: $i,SV21: $i > $i > $o,SV137: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ SV106 @ SV137 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV106 @ SV137 )
| ~ ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(693,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV107 @ SV138 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV107 @ SV138 )
| ~ ( ( SV107 != SV138 ) ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(694,plain,
! [SV32: $i,SV21: $i > $i > $o,SV138: $i,SV107: $i] :
( ( ( SV107 != SV138 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV107 @ SV138 )
| ~ ( ( SV107 != SV138 ) ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(695,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV108 @ SV134 )
| ( SV108 != SV134 ) )
= $false )
| ( ( SV21 @ SV108 @ SV134 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(696,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV108 @ SV134 )
| ( SV108 != SV134 ) )
= $false )
| ( ( SV108 = SV134 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(698,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ SV99 @ SV125 ) )
= $false )
| ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(705,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV101 @ SV135 )
= $true )
| ( ( ~ ( ~ ~ ( SV46 @ SV101 @ SV135 )
| ~ ( SV10 @ SV101 @ SV135 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(706,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ~ ~ ( SV46 @ SV101 @ SV135 )
| ~ ( SV10 @ SV101 @ SV135 ) )
= $false )
| ( ( SV10 @ SV101 @ SV135 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(707,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( SV102 = SV136 )
= $true )
| ( ( ~ ( ~ ( ( SV102 != SV136 ) )
| ~ ( SV10 @ SV102 @ SV136 ) ) )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(708,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( ~ ( ( SV102 != SV136 ) )
| ~ ( SV10 @ SV102 @ SV136 ) )
= $false )
| ( ( SV10 @ SV102 @ SV136 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(710,plain,
! [SV32: $i,SV129: $i,SV103: $i,SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ SV103 @ SV129 ) )
= $false )
| ( ( SV103 = SV129 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(711,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( SV103 != SV129 )
= $false )
| ( ( SV10 @ SV103 @ SV129 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(715,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV104 @ SV130 ) )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(721,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV106 @ SV137 )
| ~ ~ ( SV55 @ SV106 @ SV137 ) )
= $false )
| ( ( SV21 @ SV106 @ SV137 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(722,plain,
! [SV32: $i,SV21: $i > $i > $o,SV137: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV106 @ SV137 )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV106 @ SV137 )
| ~ ~ ( SV55 @ SV106 @ SV137 ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(723,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV107 @ SV138 )
| ~ ( ( SV107 != SV138 ) ) )
= $false )
| ( ( SV21 @ SV107 @ SV138 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(724,plain,
! [SV32: $i,SV21: $i > $i > $o,SV138: $i,SV107: $i] :
( ( ( SV107 = SV138 )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV107 @ SV138 )
| ~ ( ( SV107 != SV138 ) ) ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(726,plain,
! [SV32: $i,SV21: $i > $i > $o,SV134: $i,SV108: $i] :
( ( ( SV108 != SV134 )
= $false )
| ( ( SV21 @ SV108 @ SV134 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(727,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV108 @ SV134 ) )
= $false )
| ( ( SV108 = SV134 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(730,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV99 @ SV125 )
= $true )
| ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(737,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ~ ~ ( SV46 @ SV101 @ SV135 )
| ~ ( SV10 @ SV101 @ SV135 ) )
= $false )
| ( ( SV46 @ SV101 @ SV135 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(738,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ~ ~ ( SV46 @ SV101 @ SV135 ) )
= $false )
| ( ( SV10 @ SV101 @ SV135 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(740,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( ~ ( ( SV102 != SV136 ) )
| ~ ( SV10 @ SV102 @ SV136 ) )
= $false )
| ( ( SV102 = SV136 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(741,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( ~ ( ( SV102 != SV136 ) ) )
= $false )
| ( ( SV10 @ SV102 @ SV136 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(744,plain,
! [SV32: $i,SV129: $i,SV103: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV103 @ SV129 )
= $true )
| ( ( SV103 = SV129 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(745,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( SV103 = SV129 )
= $true )
| ( ( SV10 @ SV103 @ SV129 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(749,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV104 @ SV130 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(756,plain,
! [SV32: $i,SV21: $i > $i > $o,SV137: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( ~ ~ ( SV55 @ SV106 @ SV137 ) )
= $false )
| ( ( SV21 @ SV106 @ SV137 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(757,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV106 @ SV137 )
| ~ ~ ( SV55 @ SV106 @ SV137 ) )
= $false )
| ( ( SV55 @ SV106 @ SV137 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(759,plain,
! [SV32: $i,SV21: $i > $i > $o,SV138: $i,SV107: $i] :
( ( ( ~ ( ( SV107 != SV138 ) ) )
= $false )
| ( ( SV21 @ SV107 @ SV138 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(760,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV107 @ SV138 )
| ~ ( ( SV107 != SV138 ) ) )
= $false )
| ( ( SV107 = SV138 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(762,plain,
! [SV32: $i,SV21: $i > $i > $o,SV134: $i,SV108: $i] :
( ( ( SV108 = SV134 )
= $true )
| ( ( SV21 @ SV108 @ SV134 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(763,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV108 @ SV134 )
= $true )
| ( ( SV108 = SV134 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(766,plain,
! [SV32: $i,SV46: $i > $i > $o,SV135: $i,SV101: $i,SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ SV101 @ SV135 ) )
= $false )
| ( ( SV46 @ SV101 @ SV135 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(767,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( ~ ( SV46 @ SV101 @ SV135 ) )
= $true )
| ( ( SV10 @ SV101 @ SV135 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(770,plain,
! [SV32: $i,SV136: $i,SV102: $i,SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ SV102 @ SV136 ) )
= $false )
| ( ( SV102 = SV136 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(771,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( SV102 != SV136 )
= $true )
| ( ( SV10 @ SV102 @ SV136 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(774,plain,
! [SV32: $i,SV21: $i > $i > $o,SV137: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ SV106 @ SV137 ) )
= $true )
| ( ( SV21 @ SV106 @ SV137 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(775,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV106 @ SV137 ) )
= $false )
| ( ( SV55 @ SV106 @ SV137 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(778,plain,
! [SV32: $i,SV21: $i > $i > $o,SV138: $i,SV107: $i] :
( ( ( SV107 != SV138 )
= $true )
| ( ( SV21 @ SV107 @ SV138 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(779,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( ~ ( SV21 @ SV107 @ SV138 ) )
= $false )
| ( ( SV107 = SV138 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(782,plain,
! [SV32: $i,SV46: $i > $i > $o,SV135: $i,SV101: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV101 @ SV135 )
= $true )
| ( ( SV46 @ SV101 @ SV135 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(783,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV101 @ SV135 )
= $false )
| ( ( SV10 @ SV101 @ SV135 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(785,plain,
! [SV32: $i,SV136: $i,SV102: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV102 @ SV136 )
= $true )
| ( ( SV102 = SV136 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(786,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( SV102 = SV136 )
= $false )
| ( ( SV10 @ SV102 @ SV136 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(787,plain,
! [SV32: $i,SV21: $i > $i > $o,SV137: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV106 @ SV137 )
= $false )
| ( ( SV21 @ SV106 @ SV137 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(788,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV106 @ SV137 )
= $true )
| ( ( SV55 @ SV106 @ SV137 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(790,plain,
! [SV32: $i,SV21: $i > $i > $o,SV138: $i,SV107: $i] :
( ( ( SV107 = SV138 )
= $false )
| ( ( SV21 @ SV107 @ SV138 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(791,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV107 @ SV138 )
= $true )
| ( ( SV107 = SV138 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(797,plain,
! [SV32: $i,SV99: $i,SV10: $i > $i > $o,SV139: $i] :
( ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( $true
= ( SV10 @ SV99 @ SV139 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[528]) ).
thf(799,plain,
! [SV32: $i,SV10: $i > $i > $o,SV101: $i,SV46: $i > $i > $o,SV141: $i] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( ~ ( SV46 @ SV101 @ SV141 ) )
= ( SV10 @ SV101 @ SV141 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[578]) ).
thf(800,plain,
! [SV32: $i,SV10: $i > $i > $o,SV102: $i,SV142: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV102 != SV142 )
= ( SV10 @ SV102 @ SV142 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[580]) ).
thf(801,plain,
! [SV32: $i,SV10: $i > $i > $o,SV103: $i,SV143: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV103 = SV143 )
= ( SV10 @ SV103 @ SV143 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(802,plain,
! [SV32: $i,SV104: $i,SV21: $i > $i > $o,SV144: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( ( SV21 @ SV104 @ SV144 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[536]) ).
thf(804,plain,
! [SV32: $i,SV55: $i > $i > $o,SV106: $i,SV21: $i > $i > $o,SV146: $i] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV106 @ SV146 )
= ( ~ ( SV55 @ SV106 @ SV146 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(805,plain,
! [SV32: $i,SV107: $i,SV21: $i > $i > $o,SV147: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV107 @ SV147 )
= ( SV107 != SV147 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[587]) ).
thf(806,plain,
! [SV32: $i,SV108: $i,SV21: $i > $i > $o,SV148: $i] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( ( SV21 @ SV108 @ SV148 )
= ( SV108 = SV148 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[542]) ).
thf(808,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( $true = $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV10 @ SV99 @ SV125 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(810,plain,
! [SV32: $i,SV99: $i,SV10: $i > $i > $o,SV139: $i] :
( ( $true = $false )
| ( ( SV10 @ SV99 @ SV139 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[797]) ).
thf(815,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV101 @ SV135 ) )
= $true )
| ( ( SV10 @ SV101 @ SV135 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(816,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV46 @ SV101 @ SV135 ) )
= $false )
| ( ( SV10 @ SV101 @ SV135 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(817,plain,
! [SV32: $i,SV10: $i > $i > $o,SV101: $i,SV46: $i > $i > $o,SV141: $i] :
( ( ( ~ ( SV46 @ SV101 @ SV141 ) )
= $true )
| ( ( SV10 @ SV101 @ SV141 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[799]) ).
thf(818,plain,
! [SV32: $i,SV10: $i > $i > $o,SV101: $i,SV46: $i > $i > $o,SV141: $i] :
( ( ( ~ ( SV46 @ SV101 @ SV141 ) )
= $false )
| ( ( SV10 @ SV101 @ SV141 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[799]) ).
thf(819,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV102 != SV136 )
= $true )
| ( ( SV10 @ SV102 @ SV136 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[642]) ).
thf(820,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV102 != SV136 )
= $false )
| ( ( SV10 @ SV102 @ SV136 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[642]) ).
thf(821,plain,
! [SV32: $i,SV10: $i > $i > $o,SV102: $i,SV142: $i] :
( ( ( SV102 != SV142 )
= $true )
| ( ( SV10 @ SV102 @ SV142 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[800]) ).
thf(822,plain,
! [SV32: $i,SV10: $i > $i > $o,SV102: $i,SV142: $i] :
( ( ( SV102 != SV142 )
= $false )
| ( ( SV10 @ SV102 @ SV142 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[800]) ).
thf(823,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV103 = SV129 )
= $true )
| ( ( SV10 @ SV103 @ SV129 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(824,plain,
! [SV32: $i,SV10: $i > $i > $o,SV129: $i,SV103: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV103 = SV129 )
= $false )
| ( ( SV10 @ SV103 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(825,plain,
! [SV32: $i,SV10: $i > $i > $o,SV103: $i,SV143: $i] :
( ( ( SV103 = SV143 )
= $true )
| ( ( SV10 @ SV103 @ SV143 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(826,plain,
! [SV32: $i,SV10: $i > $i > $o,SV103: $i,SV143: $i] :
( ( ( SV103 = SV143 )
= $false )
| ( ( SV10 @ SV103 @ SV143 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(827,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV21 @ SV104 @ SV130 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[626]) ).
thf(829,plain,
! [SV32: $i,SV104: $i,SV21: $i > $i > $o,SV144: $i] :
( ( ( SV21 @ SV104 @ SV144 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[802]) ).
thf(835,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV106 @ SV137 )
= $true )
| ( ( ~ ( SV55 @ SV106 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(836,plain,
! [SV32: $i,SV55: $i > $i > $o,SV137: $i,SV106: $i,SV21: $i > $i > $o] :
( ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV106 @ SV137 )
= $false )
| ( ( ~ ( SV55 @ SV106 @ SV137 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(837,plain,
! [SV32: $i,SV55: $i > $i > $o,SV106: $i,SV21: $i > $i > $o,SV146: $i] :
( ( ( SV21 @ SV106 @ SV146 )
= $true )
| ( ( ~ ( SV55 @ SV106 @ SV146 ) )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[804]) ).
thf(838,plain,
! [SV32: $i,SV55: $i > $i > $o,SV106: $i,SV21: $i > $i > $o,SV146: $i] :
( ( ( SV21 @ SV106 @ SV146 )
= $false )
| ( ( ~ ( SV55 @ SV106 @ SV146 ) )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[804]) ).
thf(839,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV107 @ SV138 )
= $true )
| ( ( SV107 != SV138 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[649]) ).
thf(840,plain,
! [SV32: $i,SV138: $i,SV107: $i,SV21: $i > $i > $o] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV107 @ SV138 )
= $false )
| ( ( SV107 != SV138 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[649]) ).
thf(841,plain,
! [SV32: $i,SV107: $i,SV21: $i > $i > $o,SV147: $i] :
( ( ( SV21 @ SV107 @ SV147 )
= $true )
| ( ( SV107 != SV147 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[805]) ).
thf(842,plain,
! [SV32: $i,SV107: $i,SV21: $i > $i > $o,SV147: $i] :
( ( ( SV21 @ SV107 @ SV147 )
= $false )
| ( ( SV107 != SV147 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[805]) ).
thf(843,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV108 @ SV134 )
= $true )
| ( ( SV108 = SV134 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[632]) ).
thf(844,plain,
! [SV32: $i,SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV108 @ SV134 )
= $false )
| ( ( SV108 = SV134 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[632]) ).
thf(845,plain,
! [SV32: $i,SV108: $i,SV21: $i > $i > $o,SV148: $i] :
( ( ( SV21 @ SV108 @ SV148 )
= $true )
| ( ( SV108 = SV148 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[806]) ).
thf(846,plain,
! [SV32: $i,SV108: $i,SV21: $i > $i > $o,SV148: $i] :
( ( ( SV21 @ SV108 @ SV148 )
= $false )
| ( ( SV108 = SV148 )
= $true )
| ( ( SV32 = lAnna_THFTYPE_i )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[806]) ).
thf(847,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV101 @ SV135 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV101 @ SV135 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(848,plain,
! [SV32: $i,SV10: $i > $i > $o,SV135: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV101 @ SV135 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV101 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(849,plain,
! [SV32: $i,SV10: $i > $i > $o,SV141: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV101 @ SV141 )
= $true )
| ( ( SV10 @ SV101 @ SV141 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(850,plain,
! [SV32: $i,SV10: $i > $i > $o,SV141: $i,SV101: $i,SV46: $i > $i > $o] :
( ( ( SV46 @ SV101 @ SV141 )
= $false )
| ( ( SV10 @ SV101 @ SV141 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV46 @ SV32 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(851,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( SV102 = SV136 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV102 @ SV136 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(852,plain,
! [SV32: $i,SV10: $i > $i > $o,SV136: $i,SV102: $i] :
( ( ( SV102 = SV136 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV102 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(853,plain,
! [SV32: $i,SV10: $i > $i > $o,SV142: $i,SV102: $i] :
( ( ( SV102 = SV142 )
= $true )
| ( ( SV10 @ SV102 @ SV142 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(854,plain,
! [SV32: $i,SV10: $i > $i > $o,SV142: $i,SV102: $i] :
( ( ( SV102 = SV142 )
= $false )
| ( ( SV10 @ SV102 @ SV142 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(855,plain,
! [SV32: $i,SV21: $i > $i > $o,SV137: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV106 @ SV137 )
= $false )
| ( ( SV21 @ SV106 @ SV137 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(856,plain,
! [SV32: $i,SV21: $i > $i > $o,SV137: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV106 @ SV137 )
= $true )
| ( ( SV21 @ SV106 @ SV137 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(857,plain,
! [SV32: $i,SV21: $i > $i > $o,SV146: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV106 @ SV146 )
= $false )
| ( ( SV21 @ SV106 @ SV146 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(858,plain,
! [SV32: $i,SV21: $i > $i > $o,SV146: $i,SV106: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV106 @ SV146 )
= $true )
| ( ( SV21 @ SV106 @ SV146 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV55 @ SV32 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(859,plain,
! [SV32: $i,SV21: $i > $i > $o,SV138: $i,SV107: $i] :
( ( ( SV107 = SV138 )
= $false )
| ( ( SV21 @ SV107 @ SV138 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(860,plain,
! [SV32: $i,SV21: $i > $i > $o,SV138: $i,SV107: $i] :
( ( ( SV107 = SV138 )
= $true )
| ( ( SV21 @ SV107 @ SV138 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(861,plain,
! [SV32: $i,SV21: $i > $i > $o,SV147: $i,SV107: $i] :
( ( ( SV107 = SV147 )
= $false )
| ( ( SV21 @ SV107 @ SV147 )
= $false )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(862,plain,
! [SV32: $i,SV21: $i > $i > $o,SV147: $i,SV107: $i] :
( ( ( SV107 = SV147 )
= $true )
| ( ( SV21 @ SV107 @ SV147 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(863,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lAnna_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[307:[bind(SV14,$thf( lAnna_THFTYPE_i ))]]) ).
thf(864,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lBill_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[308:[bind(SV14,$thf( lBill_THFTYPE_i ))]]) ).
thf(865,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lBinaryPredicate_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lBinaryPredicate_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV14,$thf( lBinaryPredicate_THFTYPE_i ))]]) ).
thf(866,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ n2_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = n2_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[310:[bind(SV14,$thf( n2_THFTYPE_i ))]]) ).
thf(867,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lBen_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lBen_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[311:[bind(SV14,$thf( lBen_THFTYPE_i ))]]) ).
thf(868,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lOrganism_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lOrganism_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[312:[bind(SV14,$thf( lOrganism_THFTYPE_i ))]]) ).
thf(869,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lSue_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV14,$thf( lSue_THFTYPE_i ))]]) ).
thf(870,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lAsymmetricRelation_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lAsymmetricRelation_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[314:[bind(SV14,$thf( lAsymmetricRelation_THFTYPE_i ))]]) ).
thf(871,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lMary_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV14,$thf( lMary_THFTYPE_i ))]]) ).
thf(872,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ lBob_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[316:[bind(SV14,$thf( lBob_THFTYPE_i ))]]) ).
thf(873,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ equal_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = equal_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[317:[bind(SV14,$thf( equal_THFTYPE_i ))]]) ).
thf(874,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ n1_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = n1_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[318:[bind(SV14,$thf( n1_THFTYPE_i ))]]) ).
thf(875,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ attribute_THFTYPE_i )
= $true )
| ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : ( SX0 = attribute_THFTYPE_i )
@ SV2 )
= $false ) ),
inference(extuni,[status(esa)],[319:[bind(SV14,$thf( attribute_THFTYPE_i ))]]) ).
thf(877,plain,
! [SV136: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV136 @ SV136 )
= $false ) ),
inference(extuni,[status(esa)],[786:[bind(SV102,$thf( SV136 ))]]) ).
thf(878,plain,
! [SV32: $i,SV136: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV136 @ SV136 )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[852:[bind(SV102,$thf( SV136 ))]]) ).
thf(879,plain,
! [SV142: $i,SV10: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV142 @ SV142 )
= $false ) ),
inference(extuni,[status(esa)],[854:[bind(SV102,$thf( SV142 ))]]) ).
thf(881,plain,
! [SV129: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV129 @ SV129 )
= $true ) ),
inference(extuni,[status(esa)],[744:[bind(SV32,$thf( lBill_THFTYPE_i )),bind(SV103,$thf( SV129 ))]]) ).
thf(882,plain,
! [SV129: $i,SV103: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV103 @ SV129 )
= $false )
| ( ( SV103 = SV129 )
= $true ) ),
inference(extuni,[status(esa)],[745:[bind(SV32,$thf( lBill_THFTYPE_i ))]]) ).
thf(884,plain,
! [SV129: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV129 @ SV129 )
= $true )
| ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[824:[bind(SV103,$thf( SV129 )),bind(SV32,$thf( lBill_THFTYPE_i ))]]) ).
thf(885,plain,
! [SV129: $i,SV103: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV103 @ SV129 )
= $false )
| ( ( SV103 = SV129 )
= $true )
| ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[823:[bind(SV32,$thf( lBill_THFTYPE_i ))]]) ).
thf(886,plain,
! [SV143: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV143 @ SV143 )
= $true ) ),
inference(extuni,[status(esa)],[826:[bind(SV32,$thf( lBill_THFTYPE_i )),bind(SV103,$thf( SV143 ))]]) ).
thf(887,plain,
! [SV143: $i,SV103: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV103 @ SV143 )
= $false )
| ( ( SV103 = SV143 )
= $true ) ),
inference(extuni,[status(esa)],[825:[bind(SV32,$thf( lBill_THFTYPE_i ))]]) ).
thf(888,plain,
! [SV138: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV138 @ SV138 )
= $false ) ),
inference(extuni,[status(esa)],[790:[bind(SV107,$thf( SV138 ))]]) ).
thf(890,plain,
! [SV138: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV138 @ SV138 )
= $false ) ),
inference(extuni,[status(esa)],[859:[bind(SV107,$thf( SV138 ))]]) ).
thf(891,plain,
! [SV147: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV147 @ SV147 )
= $false ) ),
inference(extuni,[status(esa)],[861:[bind(SV107,$thf( SV147 ))]]) ).
thf(893,plain,
! [SV134: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV108 @ SV134 )
= $false )
| ( ( SV108 = SV134 )
= $true ) ),
inference(extuni,[status(esa)],[762:[bind(SV32,$thf( lAnna_THFTYPE_i ))]]) ).
thf(894,plain,
! [SV134: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV134 @ SV134 )
= $true ) ),
inference(extuni,[status(esa)],[763:[bind(SV32,$thf( lAnna_THFTYPE_i )),bind(SV108,$thf( SV134 ))]]) ).
thf(896,plain,
! [SV21: $i > $i > $o,SV134: $i,SV108: $i] :
( ( ( SV108 = SV134 )
= $true )
| ( ( SV21 @ SV108 @ SV134 )
= $false )
| ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[844:[bind(SV32,$thf( lAnna_THFTYPE_i ))]]) ).
thf(897,plain,
! [SV134: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV134 @ SV134 )
= $true )
| ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[843:[bind(SV108,$thf( SV134 )),bind(SV32,$thf( lAnna_THFTYPE_i ))]]) ).
thf(898,plain,
! [SV148: $i,SV108: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV108 = SV148 )
= $true )
| ( ( SV21 @ SV108 @ SV148 )
= $false ) ),
inference(extuni,[status(esa)],[846:[bind(SV32,$thf( lAnna_THFTYPE_i ))]]) ).
thf(899,plain,
! [SV148: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV148 @ SV148 )
= $true ) ),
inference(extuni,[status(esa)],[845:[bind(SV32,$thf( lAnna_THFTYPE_i )),bind(SV108,$thf( SV148 ))]]) ).
thf(900,plain,
! [SV32: $i,SV112: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV112 @ SV112 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[592:[bind(SV39,$thf( SV112 ))]]) ).
thf(901,plain,
! [SV113: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV113 @ SV113 )
= $true ) ),
inference(extuni,[status(esa)],[494:[bind(SV32,$thf( lBill_THFTYPE_i )),bind(SV39,$thf( SV113 ))]]) ).
thf(902,plain,
! [SV113: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV113 )
= $false )
| ( ( SV39 = SV113 )
= $true ) ),
inference(extuni,[status(esa)],[493:[bind(SV32,$thf( lBill_THFTYPE_i ))]]) ).
thf(903,plain,
! [SV117: $i,SV32: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV117 @ SV117 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[595:[bind(SV39,$thf( SV117 ))]]) ).
thf(904,plain,
! [SV118: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV39 = SV118 )
= $true )
| ( ( SV21 @ SV39 @ SV118 )
= $false ) ),
inference(extuni,[status(esa)],[504:[bind(SV32,$thf( lAnna_THFTYPE_i ))]]) ).
thf(905,plain,
! [SV118: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV118 @ SV118 )
= $true ) ),
inference(extuni,[status(esa)],[503:[bind(SV32,$thf( lAnna_THFTYPE_i )),bind(SV39,$thf( SV118 ))]]) ).
thf(906,plain,
! [SV32: $i,SV41: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV41 @ SV41 )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[600:[bind(SV39,$thf( SV41 ))]]) ).
thf(907,plain,
! [SV41: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV41 @ SV41 )
= $true )
| ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[514:[bind(SV39,$thf( SV41 )),bind(SV32,$thf( lBill_THFTYPE_i ))]]) ).
thf(908,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV39 = SV41 )
= $true )
| ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[513:[bind(SV32,$thf( lBill_THFTYPE_i ))]]) ).
thf(909,plain,
! [SV41: $i,SV21: $i > $i > $o,SV32: $i] :
( ( ( SV32 = lAnna_THFTYPE_i )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV41 @ SV41 )
= $false ) ),
inference(extuni,[status(esa)],[603:[bind(SV39,$thf( SV41 ))]]) ).
thf(910,plain,
! [SV21: $i > $i > $o,SV41: $i,SV39: $i] :
( ( ( SV39 = SV41 )
= $true )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[524:[bind(SV32,$thf( lAnna_THFTYPE_i ))]]) ).
thf(911,plain,
! [SV41: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV41 @ SV41 )
= $true )
| ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[523:[bind(SV39,$thf( SV41 )),bind(SV32,$thf( lAnna_THFTYPE_i ))]]) ).
thf(915,plain,
! [SV41: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV41 @ SV41 )
= $true ) ),
inference(extuni,[status(esa)],[364:[bind(SV32,$thf( lBill_THFTYPE_i )),bind(SV39,$thf( SV41 ))]]) ).
thf(916,plain,
! [SV41: $i,SV32: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV41 @ SV41 )
= $false )
| ( ( SV32 = lAnna_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[610:[bind(SV39,$thf( SV41 ))]]) ).
thf(917,plain,
! [SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $false )
| ( ( SV39 = SV41 )
= $true ) ),
inference(extuni,[status(esa)],[369:[bind(SV32,$thf( lAnna_THFTYPE_i ))]]) ).
thf(918,plain,
! [SV32: $i,SV41: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV41 @ SV41 )
= $false )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV32 = lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[612:[bind(SV39,$thf( SV41 ))]]) ).
thf(919,plain,
! [SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $false )
| ( ( SV39 = SV41 )
= $true ) ),
inference(extuni,[status(esa)],[374:[bind(SV32,$thf( lBill_THFTYPE_i ))]]) ).
thf(920,plain,
! [SV41: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV41 @ SV41 )
= $true ) ),
inference(extuni,[status(esa)],[379:[bind(SV32,$thf( lAnna_THFTYPE_i )),bind(SV39,$thf( SV41 ))]]) ).
thf(924,plain,
! [SV15: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
= $false ) ),
inference(sim,[status(thm)],[433]) ).
thf(925,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
= $false ) ),
inference(sim,[status(thm)],[434]) ).
thf(926,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
= $false ) ),
inference(sim,[status(thm)],[435]) ).
thf(927,plain,
! [SV14: $i,SV29: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29
@ ^ [SX0: $i] : $false )
= $false )
| ( ( SV29 @ SV14 )
= $false ) ),
inference(sim,[status(thm)],[289]) ).
thf(928,plain,
! [SV14: $i,SV2: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI
@ ^ [SX0: $i] : $true
@ SV2 )
= $false )
| ( ( SV2 @ SV14 )
= $true ) ),
inference(sim,[status(thm)],[304]) ).
thf(929,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV99 @ SV125 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[730]) ).
thf(930,plain,
! [SV32: $i,SV125: $i,SV99: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV99 @ SV125 )
= $true ) ),
inference(sim,[status(thm)],[808]) ).
thf(931,plain,
! [SV32: $i,SV99: $i,SV10: $i > $i > $o,SV139: $i] :
( ( ( SV10 @ SV99 @ SV139 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[810]) ).
thf(932,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV104 @ SV130 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[749]) ).
thf(933,plain,
! [SV32: $i,SV130: $i,SV104: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV104 @ SV130 )
= $true ) ),
inference(sim,[status(thm)],[827]) ).
thf(934,plain,
! [SV32: $i,SV104: $i,SV21: $i > $i > $o,SV144: $i] :
( ( ( SV21 @ SV104 @ SV144 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[829]) ).
thf(935,plain,
! [SV32: $i,SV39: $i,SV10: $i > $i > $o,SV109: $i] :
( ( ( SV10 @ SV39 @ SV109 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[486]) ).
thf(936,plain,
! [SV32: $i,SV39: $i,SV21: $i > $i > $o,SV114: $i] :
( ( ( SV21 @ SV39 @ SV114 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[495]) ).
thf(937,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV10 @ SV39 @ SV41 )
= $true ) ),
inference(sim,[status(thm)],[506]) ).
thf(938,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false )
| ( ( SV21 @ SV39 @ SV41 )
= $true ) ),
inference(sim,[status(thm)],[515]) ).
thf(939,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV10: $i > $i > $o] :
( ( ( SV10 @ SV39 @ SV41 )
= $true )
| ( ( SV10 @ SV32 @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[360]) ).
thf(940,plain,
! [SV32: $i,SV41: $i,SV39: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV39 @ SV41 )
= $true )
| ( ( SV21 @ SV32 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[375]) ).
thf(941,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[105,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,920,919,918,917,916,915,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,894,893,891,890,888,887,886,885,884,882,881,879,878,877,875,874,873,872,871,870,869,868,867,866,865,864,863,862,860,858,857,856,855,853,851,850,849,848,847,791,788,787,785,783,782,614,613,611,609,608,607,604,602,601,599,598,597,596,594,593,591,590,589,526,525,452,451,450,449,446,445,398,397,396,395,303,302,301,300,299,298,297,296,295,294,293,292,291,286,285,273,270,269,268,267,266,259,258,253,251,248,240,237,236,215,214,213,186,164,163,156,155,153,152,148,147,146,145,144,143,142,141,140,139,138,137,136,134,132,127,126,123,122,118,117,113,112,110,109,106]) ).
thf(942,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR139^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.18 % Computer : n009.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Tue Oct 6 18:55:32 UTC 2026
% 0.13/0.18 % CPUTime :
% 0.13/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.10/0.72
% 3.10/0.72 No.of.Axioms: 44
% 3.10/0.72
% 3.10/0.72 Length.of.Defs: 0
% 3.10/0.72
% 3.10/0.72 Contains.Choice.Funs: false
% 3.10/0.72 .....................
% 3.10/0.72
% 3.10/0.72 ********************************
% 3.10/0.72 * All subproblems solved! *
% 3.10/0.72 ********************************
% 3.10/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:44,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:941,loop_count:0,foatp_calls:2,translation:fof_experiment)
% 3.10/0.72
% 3.10/0.72 %**** Beginning of derivation protocol ****
% 3.10/0.72 % SZS output start CNFRefutation
% See solution above
% 3.10/0.73
% 3.10/0.73 %**** End of derivation protocol ****
% 3.10/0.73 %**** no. of clauses in derivation: 736 ****
% 3.10/0.73 %**** clause counter: 941 ****
% 3.10/0.73
% 3.10/0.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:44,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:941,loop_count:0,foatp_calls:2,translation:fof_experiment)
%------------------------------------------------------------------------------