%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR137^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 10:16:11 AM UTC 2026
% Result : Theorem 0.51s 0.46s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 45
% Syntax : Number of formulae : 303 ( 178 unt; 0 typ; 0 def)
% Number of atoms : 1515 ( 462 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 2644 ( 655 ~; 395 |; 39 &;1516 @)
% ( 6 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 162 ( 162 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 716 ( 0 ^; 698 !; 18 ?; 716 :)
% 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_SY54,type,
sK1_SY54: $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/sandbox/benchmark/theBenchmark.p',ax_043) ).
thf(2,axiom,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_042) ).
thf(3,axiom,
instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_041) ).
thf(4,axiom,
instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_040) ).
thf(5,axiom,
instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_039) ).
thf(6,axiom,
instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_038) ).
thf(7,axiom,
domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_037) ).
thf(8,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_036) ).
thf(9,axiom,
domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_035) ).
thf(10,axiom,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_034) ).
thf(11,axiom,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_033) ).
thf(12,axiom,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_032) ).
thf(13,axiom,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax_030) ).
thf(15,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax_028) ).
thf(17,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_027) ).
thf(18,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).
thf(19,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax_023) ).
thf(22,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_022) ).
thf(23,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax_019) ).
thf(26,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_018) ).
thf(27,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax_014) ).
thf(31,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_013) ).
thf(32,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_012) ).
thf(33,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_011) ).
thf(34,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax_009) ).
thf(36,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).
thf(37,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(39,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(40,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(41,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(42,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(43,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(44,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/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 )
& ~ ! [A: $i,B: $i] : ( R @ A @ B )
& ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ),
file('/export/starexec/sandbox/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 )
& ~ ! [A: $i,B: $i] : ( R @ A @ B )
& ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
= $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 )
& ~ ! [A: $i,B: $i] : ( R @ A @ B )
& ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
= $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 )
& ~ ! [A: $i,B: $i] : ( R @ A @ B )
& ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(93,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(94,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(95,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(96,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(97,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(98,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(99,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( subclass_THFTYPE_IiioI @ X @ Y )
& ( instance_THFTYPE_IiioI @ Z @ X ) )
=> ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(100,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(101,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(102,plain,
( ( ! [CLASS1: $i,CLASS2: $i] :
( ( CLASS1 = CLASS2 )
=> ! [THING: $i] :
( ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
<=> ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(103,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(104,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(105,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(106,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(107,plain,
( ( ! [REL2: $i > $o,ROW: $i,REL1: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 )
& ( REL1 @ ROW ) )
=> ( REL2 @ ROW ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(108,plain,
( ( ! [ORGANISM: $i] :
( ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
=> ? [PARENT: $i] : ( parent_THFTYPE_IiioI @ ORGANISM @ PARENT ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(109,plain,
( ( ! [TIME: $i,SITUATION: $o] :
( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
=> ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(110,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(111,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(112,plain,
( ( ! [THING2: $i,THING1: $i] :
( ( THING1 = THING2 )
=> ! [CLASS: $i] :
( ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
<=> ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(113,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)],[71]) ).
thf(114,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(115,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(116,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)],[68]) ).
thf(117,plain,
( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
( ( ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
& ( range_THFTYPE_IiioI @ REL2 @ CLASS1 ) )
=> ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(118,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(119,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(120,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(121,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)],[63]) ).
thf(122,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(123,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(copy,[status(thm)],[61]) ).
thf(124,plain,
( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(125,plain,
( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(126,plain,
( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(127,plain,
( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(128,plain,
( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(129,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(130,plain,
( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(131,plain,
( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(132,plain,
( ( instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(133,plain,
( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(134,plain,
( ( instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(135,plain,
( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(136,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(137,plain,
( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( R @ A @ B )
& ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(138,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( instance_THFTYPE_IiioI @ SX2 @ SX0 ) )
| ( instance_THFTYPE_IiioI @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(139,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SX1 @ SX3 )
| ~ ( domain_THFTYPE_IiiioI @ SX3 @ SX0 @ SX2 ) )
| ( domain_THFTYPE_IiiioI @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(140,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 != SX0 )
| ! [SX2: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SX1 @ SX2 )
| ( instance_THFTYPE_IiioI @ SX0 @ SX2 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SX0 @ SX2 )
| ( instance_THFTYPE_IiioI @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(141,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SX1 @ SX0 )
| ~ ( range_THFTYPE_IiioI @ SX1 @ SX2 ) )
| ( subclass_THFTYPE_IiioI @ SX0 @ SX2 )
| ( subclass_THFTYPE_IiioI @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(142,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 )
| ~ ( subclass_THFTYPE_IiioI @ SX0 @ lOrganism_THFTYPE_i ) )
| ~ ( instance_THFTYPE_IiioI @ SX2 @ SX0 ) )
| ( instance_THFTYPE_IiioI @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(143,plain,
( ( ! [SX0: $i > $o,SX1: $i,SX2: $i > $o] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SX2 @ SX0 )
| ~ ( SX2 @ SX1 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(144,plain,
( ( ! [SX0: $i,SX1: $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ SX1 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(145,plain,
( ( ! [SX0: $i] :
( ~ ( instance_THFTYPE_IiioI @ SX0 @ lOrganism_THFTYPE_i )
| ~ ! [SX1: $i] :
~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(146,plain,
( ( ~ ~ ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i > $i > $o] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
| ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SX1 @ SX3 @ SX4 ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SX0 @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(147,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( range_THFTYPE_IiioI @ SX0 @ SX1 ) )
| ( range_THFTYPE_IiioI @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(148,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SX2 @ SX0 @ SX1 )
| ~ ( domain_THFTYPE_IiiioI @ SX2 @ SX0 @ SX3 ) )
| ( subclass_THFTYPE_IiioI @ SX1 @ SX3 )
| ( subclass_THFTYPE_IiioI @ SX3 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(149,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SX2 @ SX0 )
| ( instance_THFTYPE_IiioI @ SX2 @ SX1 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SX2 @ SX1 )
| ( instance_THFTYPE_IiioI @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(150,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(151,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(152,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(153,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(154,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(155,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(156,plain,
! [SV1: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SY40 )
| ~ ( instance_THFTYPE_IiioI @ SY41 @ SV1 ) )
| ( instance_THFTYPE_IiioI @ SY41 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(157,plain,
! [SV2: $i] :
( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SY42 @ SY44 )
| ~ ( domain_THFTYPE_IiiioI @ SY44 @ SV2 @ SY43 ) )
| ( domain_THFTYPE_IiiioI @ SY42 @ SV2 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(158,plain,
! [SV3: $i] :
( ( ! [SY45: $i] :
( ( SY45 != SV3 )
| ! [SY46: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY45 @ SY46 )
| ( instance_THFTYPE_IiioI @ SV3 @ SY46 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SY46 )
| ( instance_THFTYPE_IiioI @ SY45 @ SY46 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(159,plain,
! [SV4: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SY47 @ SV4 )
| ~ ( range_THFTYPE_IiioI @ SY47 @ SY48 ) )
| ( subclass_THFTYPE_IiioI @ SV4 @ SY48 )
| ( subclass_THFTYPE_IiioI @ SY48 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(160,plain,
! [SV5: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY49 @ SY50 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
| ~ ( instance_THFTYPE_IiioI @ SY50 @ SV5 ) )
| ( instance_THFTYPE_IiioI @ SY49 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(161,plain,
! [SV6: $i > $o] :
( ( ! [SY51: $i,SY52: $i > $o] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY52 @ SV6 )
| ~ ( SY52 @ SY51 ) )
| ( SV6 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(162,plain,
! [SV7: $i] :
( ( ! [SY53: $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ SY53 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(163,plain,
! [SV8: $i] :
( ( ~ ( instance_THFTYPE_IiioI @ SV8 @ lOrganism_THFTYPE_i )
| ~ ! [SY54: $i] :
~ ( parent_THFTYPE_IiioI @ SV8 @ SY54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(164,plain,
( ( ~ ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i > $i > $o] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
| ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SX1 @ SX3 @ SX4 ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SX0 @ SX3 @ SX4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(165,plain,
! [SV9: $i] :
( ( ! [SY55: $i,SY56: $i] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SY56 @ SV9 )
| ~ ( range_THFTYPE_IiioI @ SV9 @ SY55 ) )
| ( range_THFTYPE_IiioI @ SY56 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(166,plain,
! [SV10: $i] :
( ( ! [SY57: $i,SY58: $i,SY59: $i] :
( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SY58 @ SV10 @ SY57 )
| ~ ( domain_THFTYPE_IiiioI @ SY58 @ SV10 @ SY59 ) )
| ( subclass_THFTYPE_IiioI @ SY57 @ SY59 )
| ( subclass_THFTYPE_IiioI @ SY59 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(167,plain,
! [SV11: $i] :
( ( ! [SY60: $i] :
( ( SV11 != SY60 )
| ! [SY61: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY61 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY61 @ SY60 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SY61 @ SY60 )
| ( instance_THFTYPE_IiioI @ SY61 @ SV11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(168,plain,
! [SV12: $i,SV1: $i] :
( ( ! [SY62: $i] :
( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV12 )
| ~ ( instance_THFTYPE_IiioI @ SY62 @ SV1 ) )
| ( instance_THFTYPE_IiioI @ SY62 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(169,plain,
! [SV2: $i,SV13: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV13 @ SY64 )
| ~ ( domain_THFTYPE_IiiioI @ SY64 @ SV2 @ SY63 ) )
| ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(170,plain,
! [SV3: $i,SV14: $i] :
( ( ( SV14 != SV3 )
| ! [SY65: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV14 @ SY65 )
| ( instance_THFTYPE_IiioI @ SV3 @ SY65 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SY65 )
| ( instance_THFTYPE_IiioI @ SV14 @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(171,plain,
! [SV4: $i,SV15: $i] :
( ( ! [SY66: $i] :
( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SV15 @ SV4 )
| ~ ( range_THFTYPE_IiioI @ SV15 @ SY66 ) )
| ( subclass_THFTYPE_IiioI @ SV4 @ SY66 )
| ( subclass_THFTYPE_IiioI @ SY66 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(172,plain,
! [SV5: $i,SV16: $i] :
( ( ! [SY67: $i] :
( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SY67 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
| ~ ( instance_THFTYPE_IiioI @ SY67 @ SV5 ) )
| ( instance_THFTYPE_IiioI @ SV16 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(173,plain,
! [SV17: $i,SV6: $i > $o] :
( ( ! [SY68: $i > $o] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY68 @ SV6 )
| ~ ( SY68 @ SV17 ) )
| ( SV6 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(174,plain,
! [SV18: $o,SV7: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ SV18 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV18 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[162]) ).
thf(175,plain,
! [SV7: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ $true ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[162]) ).
thf(176,plain,
! [SV7: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[162]) ).
thf(177,plain,
! [SV8: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV8 @ lOrganism_THFTYPE_i ) )
= $true )
| ( ( ~ ! [SY54: $i] :
~ ( parent_THFTYPE_IiioI @ SV8 @ SY54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(178,plain,
( ( ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i > $i > $o] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
| ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SX1 @ SX3 @ SX4 ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SX0 @ SX3 @ SX4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(179,plain,
! [SV19: $i,SV9: $i] :
( ( ! [SY69: $i] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SY69 @ SV9 )
| ~ ( range_THFTYPE_IiioI @ SV9 @ SV19 ) )
| ( range_THFTYPE_IiioI @ SY69 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(180,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SY70 @ SV10 @ SV20 )
| ~ ( domain_THFTYPE_IiiioI @ SY70 @ SV10 @ SY71 ) )
| ( subclass_THFTYPE_IiioI @ SV20 @ SY71 )
| ( subclass_THFTYPE_IiioI @ SY71 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(181,plain,
! [SV21: $i,SV11: $i] :
( ( ( SV11 != SV21 )
| ! [SY72: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV21 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV21 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(182,plain,
! [SV22: $i,SV12: $i,SV1: $i] :
( ( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV12 )
| ~ ( instance_THFTYPE_IiioI @ SV22 @ SV1 ) )
| ( instance_THFTYPE_IiioI @ SV22 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(183,plain,
! [SV23: $i,SV2: $i,SV13: $i] :
( ( ! [SY73: $i] :
( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV13 @ SY73 )
| ~ ( domain_THFTYPE_IiiioI @ SY73 @ SV2 @ SV23 ) )
| ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(184,plain,
! [SV3: $i,SV14: $i] :
( ( ( SV14 != SV3 )
= $true )
| ( ( ! [SY65: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV14 @ SY65 )
| ( instance_THFTYPE_IiioI @ SV3 @ SY65 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SY65 )
| ( instance_THFTYPE_IiioI @ SV14 @ SY65 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(185,plain,
! [SV24: $i,SV4: $i,SV15: $i] :
( ( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SV15 @ SV4 )
| ~ ( range_THFTYPE_IiioI @ SV15 @ SV24 ) )
| ( subclass_THFTYPE_IiioI @ SV4 @ SV24 )
| ( subclass_THFTYPE_IiioI @ SV24 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(186,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
| ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) )
| ( instance_THFTYPE_IiioI @ SV16 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(187,plain,
! [SV17: $i,SV6: $i > $o,SV26: $i > $o] :
( ( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV26 @ SV6 )
| ~ ( SV26 @ SV17 ) )
| ( SV6 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(188,plain,
! [SV18: $o,SV7: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ SV18 ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(189,plain,
! [SV7: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ $true ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(190,plain,
! [SV7: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ $false ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(191,plain,
! [SV8: $i] :
( ( ( instance_THFTYPE_IiioI @ SV8 @ lOrganism_THFTYPE_i )
= $false )
| ( ( ~ ! [SY54: $i] :
~ ( parent_THFTYPE_IiioI @ SV8 @ SY54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(192,plain,
! [SV27: $i > $i > $o] :
( ( ~ ~ ! [SY74: $i > $i > $o] :
~ ~ ! [SY75: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SY74 @ SY75 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SY75 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SY74 @ SX3 @ SX4 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(193,plain,
! [SV19: $i,SV9: $i,SV28: $i] :
( ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV28 @ SV9 )
| ~ ( range_THFTYPE_IiioI @ SV9 @ SV19 ) )
| ( range_THFTYPE_IiioI @ SV28 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(194,plain,
! [SV20: $i,SV10: $i,SV29: $i] :
( ( ! [SY80: $i] :
( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 )
| ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SY80 ) )
| ( subclass_THFTYPE_IiioI @ SV20 @ SY80 )
| ( subclass_THFTYPE_IiioI @ SY80 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(195,plain,
! [SV21: $i,SV11: $i] :
( ( ( SV11 != SV21 )
= $true )
| ( ( ! [SY72: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV21 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV21 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(196,plain,
! [SV22: $i,SV12: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV12 )
| ~ ( instance_THFTYPE_IiioI @ SV22 @ SV1 ) ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV22 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(197,plain,
! [SV23: $i,SV2: $i,SV30: $i,SV13: $i] :
( ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV13 @ SV30 )
| ~ ( domain_THFTYPE_IiiioI @ SV30 @ SV2 @ SV23 ) )
| ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(198,plain,
! [SV3: $i,SV14: $i] :
( ( ( SV14 = SV3 )
= $false )
| ( ( ! [SY65: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV14 @ SY65 )
| ( instance_THFTYPE_IiioI @ SV3 @ SY65 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SY65 )
| ( instance_THFTYPE_IiioI @ SV14 @ SY65 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(199,plain,
! [SV24: $i,SV4: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SV15 @ SV4 )
| ~ ( range_THFTYPE_IiioI @ SV15 @ SV24 ) ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV4 @ SV24 )
| ( subclass_THFTYPE_IiioI @ SV24 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(200,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
| ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(201,plain,
! [SV17: $i,SV6: $i > $o,SV26: $i > $o] :
( ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV26 @ SV6 )
| ~ ( SV26 @ SV17 ) ) )
= $true )
| ( ( SV6 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(202,plain,
! [SV18: $o,SV7: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ SV18 )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(203,plain,
! [SV7: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ $true )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(204,plain,
! [SV7: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ $false )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(205,plain,
! [SV8: $i] :
( ( ( ! [SY54: $i] :
~ ( parent_THFTYPE_IiioI @ SV8 @ SY54 ) )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV8 @ lOrganism_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(206,plain,
! [SV27: $i > $i > $o] :
( ( ~ ! [SY74: $i > $i > $o] :
~ ~ ! [SY75: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SY74 @ SY75 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SY75 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SY74 @ SX3 @ SX4 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(207,plain,
! [SV19: $i,SV9: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV28 @ SV9 )
| ~ ( range_THFTYPE_IiioI @ SV9 @ SV19 ) ) )
= $true )
| ( ( range_THFTYPE_IiioI @ SV28 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(208,plain,
! [SV31: $i,SV20: $i,SV10: $i,SV29: $i] :
( ( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 )
| ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV31 ) )
| ( subclass_THFTYPE_IiioI @ SV20 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(209,plain,
! [SV21: $i,SV11: $i] :
( ( ( SV11 = SV21 )
= $false )
| ( ( ! [SY72: $i] :
~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV11 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV21 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SY72 @ SV21 )
| ( instance_THFTYPE_IiioI @ SY72 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(210,plain,
! [SV22: $i,SV12: $i,SV1: $i] :
( ( ( ~ ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV12 )
| ~ ( instance_THFTYPE_IiioI @ SV22 @ SV1 ) ) )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV22 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(211,plain,
! [SV23: $i,SV2: $i,SV30: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV13 @ SV30 )
| ~ ( domain_THFTYPE_IiiioI @ SV30 @ SV2 @ SV23 ) ) )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(212,plain,
! [SV3: $i,SV32: $i,SV14: $i] :
( ( ( ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV14 @ SV32 )
| ( instance_THFTYPE_IiioI @ SV3 @ SV32 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SV32 )
| ( instance_THFTYPE_IiioI @ SV14 @ SV32 ) ) ) )
= $true )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(213,plain,
! [SV24: $i,SV4: $i,SV15: $i] :
( ( ( ~ ( ~ ( range_THFTYPE_IiioI @ SV15 @ SV4 )
| ~ ( range_THFTYPE_IiioI @ SV15 @ SV24 ) ) )
= $false )
| ( ( ( subclass_THFTYPE_IiioI @ SV4 @ SV24 )
| ( subclass_THFTYPE_IiioI @ SV24 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(214,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
| ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) ) )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(215,plain,
! [SV17: $i,SV6: $i > $o,SV26: $i > $o] :
( ( ( ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV26 @ SV6 )
| ~ ( SV26 @ SV17 ) ) )
= $false )
| ( ( SV6 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(216,plain,
! [SV18: $o,SV7: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV18 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(217,plain,
! [SV7: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(218,plain,
! [SV7: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ ~ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(219,plain,
! [SV8: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV8 @ ( sK1_SY54 @ SV8 ) ) )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV8 @ lOrganism_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(220,plain,
! [SV27: $i > $i > $o] :
( ( ! [SY74: $i > $i > $o] :
~ ~ ! [SY75: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SY74 @ SY75 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SY75 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SX3: $i,SX4: $i] : ( SY74 @ SX3 @ SX4 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(221,plain,
! [SV19: $i,SV9: $i,SV28: $i] :
( ( ( ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV28 @ SV9 )
| ~ ( range_THFTYPE_IiioI @ SV9 @ SV19 ) ) )
= $false )
| ( ( range_THFTYPE_IiioI @ SV28 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(222,plain,
! [SV31: $i,SV20: $i,SV10: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 )
| ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV31 ) ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV20 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(223,plain,
! [SV21: $i,SV11: $i,SV33: $i] :
( ( ( ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV11 )
| ( instance_THFTYPE_IiioI @ SV33 @ SV21 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV21 )
| ( instance_THFTYPE_IiioI @ SV33 @ SV11 ) ) ) )
= $true )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(224,plain,
! [SV22: $i,SV12: $i,SV1: $i] :
( ( ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV12 )
| ~ ( instance_THFTYPE_IiioI @ SV22 @ SV1 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV22 @ SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(225,plain,
! [SV23: $i,SV2: $i,SV30: $i,SV13: $i] :
( ( ( ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV13 @ SV30 )
| ~ ( domain_THFTYPE_IiiioI @ SV30 @ SV2 @ SV23 ) ) )
= $false )
| ( ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(226,plain,
! [SV3: $i,SV32: $i,SV14: $i] :
( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV14 @ SV32 )
| ( instance_THFTYPE_IiioI @ SV3 @ SV32 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SV32 )
| ( instance_THFTYPE_IiioI @ SV14 @ SV32 ) ) )
= $false )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(227,plain,
! [SV24: $i,SV4: $i,SV15: $i] :
( ( ( ~ ( range_THFTYPE_IiioI @ SV15 @ SV4 )
| ~ ( range_THFTYPE_IiioI @ SV15 @ SV24 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV4 @ SV24 )
| ( subclass_THFTYPE_IiioI @ SV24 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(228,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
| ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(229,plain,
! [SV17: $i,SV6: $i > $o,SV26: $i > $o] :
( ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV26 @ SV6 )
| ~ ( SV26 @ SV17 ) )
= $true )
| ( ( SV6 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(230,plain,
! [SV8: $i] :
( ( ( parent_THFTYPE_IiioI @ SV8 @ ( sK1_SY54 @ SV8 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV8 @ lOrganism_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(231,plain,
! [SV27: $i > $i > $o,SV34: $i > $i > $o] :
( ( ~ ~ ! [SY81: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV34 @ SY81 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SY81 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(232,plain,
! [SV19: $i,SV9: $i,SV28: $i] :
( ( ( ~ ( subrelation_THFTYPE_IiioI @ SV28 @ SV9 )
| ~ ( range_THFTYPE_IiioI @ SV9 @ SV19 ) )
= $true )
| ( ( range_THFTYPE_IiioI @ SV28 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(233,plain,
! [SV31: $i,SV20: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 )
| ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV31 ) ) )
= $false )
| ( ( ( subclass_THFTYPE_IiioI @ SV20 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(234,plain,
! [SV21: $i,SV11: $i,SV33: $i] :
( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV11 )
| ( instance_THFTYPE_IiioI @ SV33 @ SV21 ) )
| ~ ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV21 )
| ( instance_THFTYPE_IiioI @ SV33 @ SV11 ) ) )
= $false )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(235,plain,
! [SV22: $i,SV12: $i,SV1: $i] :
( ( ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV12 ) )
= $true )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SV1 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV22 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(236,plain,
! [SV23: $i,SV2: $i,SV30: $i,SV13: $i] :
( ( ( ~ ( subrelation_THFTYPE_IiioI @ SV13 @ SV30 )
| ~ ( domain_THFTYPE_IiiioI @ SV30 @ SV2 @ SV23 ) )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(237,plain,
! [SV3: $i,SV32: $i,SV14: $i] :
( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV14 @ SV32 )
| ( instance_THFTYPE_IiioI @ SV3 @ SV32 ) ) )
= $false )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(238,plain,
! [SV14: $i,SV32: $i,SV3: $i] :
( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SV32 )
| ( instance_THFTYPE_IiioI @ SV14 @ SV32 ) ) )
= $false )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(239,plain,
! [SV24: $i,SV4: $i,SV15: $i] :
( ( ( ~ ( range_THFTYPE_IiioI @ SV15 @ SV4 ) )
= $true )
| ( ( ~ ( range_THFTYPE_IiioI @ SV15 @ SV24 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV4 @ SV24 )
| ( subclass_THFTYPE_IiioI @ SV24 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV17: $i,SV6: $i > $o,SV26: $i > $o] :
( ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV26 @ SV6 ) )
= $true )
| ( ( ~ ( SV26 @ SV17 ) )
= $true )
| ( ( SV6 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(242,plain,
! [SV27: $i > $i > $o,SV34: $i > $i > $o] :
( ( ~ ! [SY81: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV34 @ SY81 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SY81 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(243,plain,
! [SV19: $i,SV9: $i,SV28: $i] :
( ( ( ~ ( subrelation_THFTYPE_IiioI @ SV28 @ SV9 ) )
= $true )
| ( ( ~ ( range_THFTYPE_IiioI @ SV9 @ SV19 ) )
= $true )
| ( ( range_THFTYPE_IiioI @ SV28 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(244,plain,
! [SV31: $i,SV20: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 )
| ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV31 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV20 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(245,plain,
! [SV21: $i,SV11: $i,SV33: $i] :
( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV11 )
| ( instance_THFTYPE_IiioI @ SV33 @ SV21 ) ) )
= $false )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(246,plain,
! [SV11: $i,SV21: $i,SV33: $i] :
( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV21 )
| ( instance_THFTYPE_IiioI @ SV33 @ SV11 ) ) )
= $false )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(247,plain,
! [SV22: $i,SV12: $i,SV1: $i] :
( ( ( subclass_THFTYPE_IiioI @ SV1 @ SV12 )
= $false )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SV1 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV22 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV23: $i,SV2: $i,SV30: $i,SV13: $i] :
( ( ( ~ ( subrelation_THFTYPE_IiioI @ SV13 @ SV30 ) )
= $true )
| ( ( ~ ( domain_THFTYPE_IiiioI @ SV30 @ SV2 @ SV23 ) )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(249,plain,
! [SV3: $i,SV32: $i,SV14: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV14 @ SV32 )
| ( instance_THFTYPE_IiioI @ SV3 @ SV32 ) )
= $true )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(250,plain,
! [SV14: $i,SV32: $i,SV3: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SV32 )
| ( instance_THFTYPE_IiioI @ SV14 @ SV32 ) )
= $true )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(251,plain,
! [SV24: $i,SV4: $i,SV15: $i] :
( ( ( range_THFTYPE_IiioI @ SV15 @ SV4 )
= $false )
| ( ( ~ ( range_THFTYPE_IiioI @ SV15 @ SV24 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV4 @ SV24 )
| ( subclass_THFTYPE_IiioI @ SV24 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(252,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(253,plain,
! [SV17: $i,SV6: $i > $o,SV26: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV26 @ SV6 )
= $false )
| ( ( ~ ( SV26 @ SV17 ) )
= $true )
| ( ( SV6 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(254,plain,
! [SV27: $i > $i > $o,SV34: $i > $i > $o] :
( ( ! [SY81: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV34 @ SY81 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SY81 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(255,plain,
! [SV19: $i,SV9: $i,SV28: $i] :
( ( ( subrelation_THFTYPE_IiioI @ SV28 @ SV9 )
= $false )
| ( ( ~ ( range_THFTYPE_IiioI @ SV9 @ SV19 ) )
= $true )
| ( ( range_THFTYPE_IiioI @ SV28 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(256,plain,
! [SV31: $i,SV20: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 ) )
= $true )
| ( ( ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV31 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV20 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(257,plain,
! [SV21: $i,SV11: $i,SV33: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV11 )
| ( instance_THFTYPE_IiioI @ SV33 @ SV21 ) )
= $true )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(258,plain,
! [SV11: $i,SV21: $i,SV33: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV21 )
| ( instance_THFTYPE_IiioI @ SV33 @ SV11 ) )
= $true )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(259,plain,
! [SV12: $i,SV1: $i,SV22: $i] :
( ( ( instance_THFTYPE_IiioI @ SV22 @ SV1 )
= $false )
| ( ( subclass_THFTYPE_IiioI @ SV1 @ SV12 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV22 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(260,plain,
! [SV23: $i,SV2: $i,SV30: $i,SV13: $i] :
( ( ( subrelation_THFTYPE_IiioI @ SV13 @ SV30 )
= $false )
| ( ( ~ ( domain_THFTYPE_IiiioI @ SV30 @ SV2 @ SV23 ) )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV3: $i,SV32: $i,SV14: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV14 @ SV32 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV3 @ SV32 )
= $true )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(262,plain,
! [SV14: $i,SV32: $i,SV3: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV3 @ SV32 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV14 @ SV32 )
= $true )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(263,plain,
! [SV4: $i,SV24: $i,SV15: $i] :
( ( ( range_THFTYPE_IiioI @ SV15 @ SV24 )
= $false )
| ( ( range_THFTYPE_IiioI @ SV15 @ SV4 )
= $false )
| ( ( ( subclass_THFTYPE_IiioI @ SV4 @ SV24 )
| ( subclass_THFTYPE_IiioI @ SV24 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(264,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
| ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
= $true )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(265,plain,
! [SV6: $i > $o,SV17: $i,SV26: $i > $o] :
( ( ( SV26 @ SV17 )
= $false )
| ( ( subrelation_THFTYPE_IIioIIioIoI @ SV26 @ SV6 )
= $false )
| ( ( SV6 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(266,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(267,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ( range_THFTYPE_IiioI @ SV9 @ SV19 )
= $false )
| ( ( subrelation_THFTYPE_IiioI @ SV28 @ SV9 )
= $false )
| ( ( range_THFTYPE_IiioI @ SV28 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(268,plain,
! [SV31: $i,SV20: $i,SV10: $i,SV29: $i] :
( ( ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 )
= $false )
| ( ( ~ ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV31 ) )
= $true )
| ( ( ( subclass_THFTYPE_IiioI @ SV20 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(269,plain,
! [SV21: $i,SV11: $i,SV33: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV11 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV33 @ SV21 )
= $true )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(270,plain,
! [SV11: $i,SV21: $i,SV33: $i] :
( ( ( ~ ( instance_THFTYPE_IiioI @ SV33 @ SV21 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV33 @ SV11 )
= $true )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(271,plain,
! [SV13: $i,SV23: $i,SV2: $i,SV30: $i] :
( ( ( domain_THFTYPE_IiiioI @ SV30 @ SV2 @ SV23 )
= $false )
| ( ( subrelation_THFTYPE_IiioI @ SV13 @ SV30 )
= $false )
| ( ( domain_THFTYPE_IiiioI @ SV13 @ SV2 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(272,plain,
! [SV3: $i,SV32: $i,SV14: $i] :
( ( ( instance_THFTYPE_IiioI @ SV14 @ SV32 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV3 @ SV32 )
= $true )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(273,plain,
! [SV14: $i,SV32: $i,SV3: $i] :
( ( ( instance_THFTYPE_IiioI @ SV3 @ SV32 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV14 @ SV32 )
= $true )
| ( ( SV14 = SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(274,plain,
! [SV15: $i,SV24: $i,SV4: $i] :
( ( ( subclass_THFTYPE_IiioI @ SV4 @ SV24 )
= $true )
| ( ( subclass_THFTYPE_IiioI @ SV24 @ SV4 )
= $true )
| ( ( range_THFTYPE_IiioI @ SV15 @ SV4 )
= $false )
| ( ( range_THFTYPE_IiioI @ SV15 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(275,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV16 @ SV25 ) )
= $true )
| ( ( ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
= $true )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(276,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(277,plain,
! [SV20: $i,SV31: $i,SV10: $i,SV29: $i] :
( ( ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV31 )
= $false )
| ( ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 )
= $false )
| ( ( ( subclass_THFTYPE_IiioI @ SV20 @ SV31 )
| ( subclass_THFTYPE_IiioI @ SV31 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(278,plain,
! [SV21: $i,SV11: $i,SV33: $i] :
( ( ( instance_THFTYPE_IiioI @ SV33 @ SV11 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV33 @ SV21 )
= $true )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(279,plain,
! [SV11: $i,SV21: $i,SV33: $i] :
( ( ( instance_THFTYPE_IiioI @ SV33 @ SV21 )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV33 @ SV11 )
= $true )
| ( ( SV11 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(280,plain,
! [SV5: $i,SV25: $i,SV16: $i] :
( ( ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
= $false )
| ( ( ~ ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i ) )
= $true )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(281,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ~ ~ ( ~ ~ ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
| ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(282,plain,
! [SV10: $i,SV29: $i,SV31: $i,SV20: $i] :
( ( ( subclass_THFTYPE_IiioI @ SV20 @ SV31 )
= $true )
| ( ( subclass_THFTYPE_IiioI @ SV31 @ SV20 )
= $true )
| ( ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV20 )
= $false )
| ( ( domain_THFTYPE_IiiioI @ SV29 @ SV10 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(283,plain,
! [SV25: $i,SV16: $i,SV5: $i] :
( ( ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
= $false )
| ( ( ~ ( instance_THFTYPE_IiioI @ SV25 @ SV5 ) )
= $true )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(284,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) ) )
= $true )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(285,plain,
! [SV16: $i,SV5: $i,SV25: $i] :
( ( ( instance_THFTYPE_IiioI @ SV25 @ SV5 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV16 @ SV25 )
= $false )
| ( ( subclass_THFTYPE_IiioI @ SV5 @ lOrganism_THFTYPE_i )
= $false )
| ( ( instance_THFTYPE_IiioI @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(286,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) ) )
= $false )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(287,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
| ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $true )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(288,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $true )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(289,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ~ ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $true )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(290,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i )
| ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $true )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(291,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ~ ( SV34 @ SV35 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $true )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(292,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV27 @ SV35 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $true )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(293,plain,
! [SV34: $i > $i > $o,SV35: $i,SV27: $i > $i > $o] :
( ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $true )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(294,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ~ ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $false )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(295,plain,
! [SV27: $i > $i > $o,SV35: $i,SV34: $i > $i > $o] :
( ( ( ! [SY82: $i,SY83: $i] : ( SV34 @ SY82 @ SY83 ) )
= $true )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(296,plain,
! [SV27: $i > $i > $o,SV35: $i,SV36: $i,SV34: $i > $i > $o] :
( ( ( ! [SY90: $i] : ( SV34 @ SV36 @ SY90 ) )
= $true )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(297,plain,
! [SV27: $i > $i > $o,SV35: $i,SV37: $i,SV36: $i,SV34: $i > $i > $o] :
( ( ( SV34 @ SV36 @ SV37 )
= $true )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(298,plain,
! [SV37: $i,SV36: $i,SV34: $i > $i > $o,SV35: $i,SV27: $i > $i > $o] :
( ( ( ~ ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $false )
| ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( SV34 @ SV36 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(299,plain,
! [SV37: $i,SV36: $i,SV34: $i > $i > $o,SV35: $i,SV27: $i > $i > $o] :
( ( ( ! [SY78: $i,SY79: $i] : ( SV27 @ SY78 @ SY79 ) )
= $true )
| ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( SV34 @ SV36 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(300,plain,
! [SV37: $i,SV36: $i,SV34: $i > $i > $o,SV35: $i,SV38: $i,SV27: $i > $i > $o] :
( ( ( ! [SY91: $i] : ( SV27 @ SV38 @ SY91 ) )
= $true )
| ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( SV34 @ SV36 @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(301,plain,
! [SV37: $i,SV36: $i,SV34: $i > $i > $o,SV35: $i,SV39: $i,SV38: $i,SV27: $i > $i > $o] :
( ( ( SV27 @ SV38 @ SV39 )
= $true )
| ( ( SV27 @ SV35 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV34 @ SV35 @ lBill_THFTYPE_i )
= $false )
| ( ( SV34 @ SV36 @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(302,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[93,301,285,282,279,278,274,273,272,271,267,265,259,230,218,217,216,155,154,153,152,151,150,136,135,134,133,132,131,130,129,128,127,126,125,124,122,120,115,114,111,110,106,105,101,100,98,97,94]) ).
thf(303,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR137^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.23 % Computer : n013.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Oct 6 18:54:51 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.46
% 0.51/0.46 No.of.Axioms: 44
% 0.51/0.46
% 0.51/0.46 Length.of.Defs: 0
% 0.51/0.46
% 0.51/0.46 Contains.Choice.Funs: false
% 0.51/0.46 ........
% 0.51/0.46
% 0.51/0.46 ********************************
% 0.51/0.46 * All subproblems solved! *
% 0.51/0.46 ********************************
% 0.51/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:44,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:302,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.51/0.46
% 0.51/0.46 %**** Beginning of derivation protocol ****
% 0.51/0.46 % SZS output start CNFRefutation
% See solution above
% 0.51/0.46
% 0.51/0.46 %**** End of derivation protocol ****
% 0.51/0.46 %**** no. of clauses in derivation: 303 ****
% 0.51/0.46 %**** clause counter: 302 ****
% 0.51/0.46
% 0.51/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:44,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:302,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------