%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR142^2 : 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 : n004.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 10:16:13 AM UTC 2026
% Result : Theorem 0.52s 0.35s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 187 ( 105 unt; 0 typ; 0 def)
% Number of atoms : 752 ( 255 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 1605 ( 275 ~; 246 |; 18 &;1048 @)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 290 ( 290 >; 0 *; 0 +; 0 <<)
% Number of symbols : 112 ( 109 usr; 50 con; 0-3 aty)
% Number of variables : 352 ( 0 ^; 348 !; 4 ?; 352 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_agent_THFTYPE_i,type,
agent_THFTYPE_i: $i ).
thf(tp_attribute_THFTYPE_IiioI,type,
attribute_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_before_THFTYPE_IiioI,type,
before_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_connected_THFTYPE_i,type,
connected_THFTYPE_i: $i ).
thf(tp_contraryAttribute_THFTYPE_IiioI,type,
contraryAttribute_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_contraryAttribute_THFTYPE_IioI,type,
contraryAttribute_THFTYPE_IioI: $i > $o ).
thf(tp_disjoint_THFTYPE_IiioI,type,
disjoint_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_documentation_THFTYPE_i,type,
documentation_THFTYPE_i: $i ).
thf(tp_domainSubclass_THFTYPE_IiiioI,type,
domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIIiioIIiioIoIiioI,type,
domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiiIiioI,type,
domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiiiIiioI,type,
domain_THFTYPE_IIiiiIiioI: ( $i > $i > $i ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiiioIiioI,type,
domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $i > $i > $o ).
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_father_THFTYPE_IiioI,type,
father_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_greaterThanOrEqualTo_THFTYPE_IiioI,type,
greaterThanOrEqualTo_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_greaterThan_THFTYPE_IiioI,type,
greaterThan_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_gt_THFTYPE_IiioI,type,
gt_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_gtet_THFTYPE_IiioI,type,
gtet_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_husband_THFTYPE_IiioI,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_inList_THFTYPE_IiioI,type,
inList_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_instance_THFTYPE_IIIiioIIiioIoIioI,type,
instance_THFTYPE_IIIiioIIiioIoIioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIIiioIiioIioI,type,
instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiiIioI,type,
instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiiiIioI,type,
instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiiioIioI,type,
instance_THFTYPE_IIiiioIioI: ( $i > $i > $i > $o ) > $i > $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_inverse_THFTYPE_IIiioIIiioIoI,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_lAdditionFn_THFTYPE_i,type,
lAdditionFn_THFTYPE_i: $i ).
thf(tp_lAsymmetricRelation_THFTYPE_i,type,
lAsymmetricRelation_THFTYPE_i: $i ).
thf(tp_lBeginFn_THFTYPE_IiiI,type,
lBeginFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lBeginFn_THFTYPE_i,type,
lBeginFn_THFTYPE_i: $i ).
thf(tp_lBinaryFunction_THFTYPE_i,type,
lBinaryFunction_THFTYPE_i: $i ).
thf(tp_lBinaryPredicate_THFTYPE_i,type,
lBinaryPredicate_THFTYPE_i: $i ).
thf(tp_lBinaryRelation_THFTYPE_i,type,
lBinaryRelation_THFTYPE_i: $i ).
thf(tp_lBodyPart_THFTYPE_i,type,
lBodyPart_THFTYPE_i: $i ).
thf(tp_lChris_THFTYPE_i,type,
lChris_THFTYPE_i: $i ).
thf(tp_lCorina_THFTYPE_i,type,
lCorina_THFTYPE_i: $i ).
thf(tp_lEndFn_THFTYPE_IiiI,type,
lEndFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lEndFn_THFTYPE_i,type,
lEndFn_THFTYPE_i: $i ).
thf(tp_lEntity_THFTYPE_i,type,
lEntity_THFTYPE_i: $i ).
thf(tp_lFemale_THFTYPE_i,type,
lFemale_THFTYPE_i: $i ).
thf(tp_lHuman_THFTYPE_i,type,
lHuman_THFTYPE_i: $i ).
thf(tp_lInheritableRelation_THFTYPE_i,type,
lInheritableRelation_THFTYPE_i: $i ).
thf(tp_lIrreflexiveRelation_THFTYPE_i,type,
lIrreflexiveRelation_THFTYPE_i: $i ).
thf(tp_lListFn_THFTYPE_IiiI,type,
lListFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lMale_THFTYPE_i,type,
lMale_THFTYPE_i: $i ).
thf(tp_lMan_THFTYPE_i,type,
lMan_THFTYPE_i: $i ).
thf(tp_lMeasureFn_THFTYPE_IiiiI,type,
lMeasureFn_THFTYPE_IiiiI: $i > $i > $i ).
thf(tp_lMultiplicationFn_THFTYPE_i,type,
lMultiplicationFn_THFTYPE_i: $i ).
thf(tp_lObject_THFTYPE_i,type,
lObject_THFTYPE_i: $i ).
thf(tp_lOrganism_THFTYPE_i,type,
lOrganism_THFTYPE_i: $i ).
thf(tp_lPartialOrderingRelation_THFTYPE_i,type,
lPartialOrderingRelation_THFTYPE_i: $i ).
thf(tp_lProcess_THFTYPE_i,type,
lProcess_THFTYPE_i: $i ).
thf(tp_lQuantity_THFTYPE_i,type,
lQuantity_THFTYPE_i: $i ).
thf(tp_lRealNumber_THFTYPE_i,type,
lRealNumber_THFTYPE_i: $i ).
thf(tp_lRelationExtendedToQuantities_THFTYPE_i,type,
lRelationExtendedToQuantities_THFTYPE_i: $i ).
thf(tp_lRelation_THFTYPE_i,type,
lRelation_THFTYPE_i: $i ).
thf(tp_lReproductiveBody_THFTYPE_i,type,
lReproductiveBody_THFTYPE_i: $i ).
thf(tp_lSingleValuedRelation_THFTYPE_i,type,
lSingleValuedRelation_THFTYPE_i: $i ).
thf(tp_lSymmetricRelation_THFTYPE_i,type,
lSymmetricRelation_THFTYPE_i: $i ).
thf(tp_lTemporalRelation_THFTYPE_i,type,
lTemporalRelation_THFTYPE_i: $i ).
thf(tp_lTernaryPredicate_THFTYPE_i,type,
lTernaryPredicate_THFTYPE_i: $i ).
thf(tp_lTimeInterval_THFTYPE_i,type,
lTimeInterval_THFTYPE_i: $i ).
thf(tp_lTimePoint_THFTYPE_i,type,
lTimePoint_THFTYPE_i: $i ).
thf(tp_lTotalValuedRelation_THFTYPE_i,type,
lTotalValuedRelation_THFTYPE_i: $i ).
thf(tp_lTransitiveRelation_THFTYPE_i,type,
lTransitiveRelation_THFTYPE_i: $i ).
thf(tp_lUnaryFunction_THFTYPE_i,type,
lUnaryFunction_THFTYPE_i: $i ).
thf(tp_lUnitOfMeasure_THFTYPE_i,type,
lUnitOfMeasure_THFTYPE_i: $i ).
thf(tp_lWhenFn_THFTYPE_IiiI,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lWhenFn_THFTYPE_i,type,
lWhenFn_THFTYPE_i: $i ).
thf(tp_lWoman_THFTYPE_i,type,
lWoman_THFTYPE_i: $i ).
thf(tp_lessThanOrEqualTo_THFTYPE_IiioI,type,
lessThanOrEqualTo_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_lessThan_THFTYPE_IiioI,type,
lessThan_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_located_THFTYPE_IiioI,type,
located_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_lt_THFTYPE_IiioI,type,
lt_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_ltet_THFTYPE_IiioI,type,
ltet_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_meetsTemporally_THFTYPE_IiioI,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_mother_THFTYPE_IiioI,type,
mother_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_orientation_THFTYPE_IiiioI,type,
orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_part_THFTYPE_IiioI,type,
part_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_partition_THFTYPE_IiiioI,type,
partition_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_patient_THFTYPE_i,type,
patient_THFTYPE_i: $i ).
thf(tp_range_THFTYPE_IiioI,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_relatedInternalConcept_THFTYPE_i,type,
relatedInternalConcept_THFTYPE_i: $i ).
thf(tp_sK1_INST1,type,
sK1_INST1: ( $i > $i > $o ) > $i ).
thf(tp_sK2_SY18,type,
sK2_SY18: ( $i > $i > $o ) > $i ).
thf(tp_sK3_INST,type,
sK3_INST: ( $i > $i > $o ) > $i ).
thf(tp_sK4_INST1,type,
sK4_INST1: ( $i > $i > $o ) > $i ).
thf(tp_sK5_SY19,type,
sK5_SY19: ( $i > $i > $o ) > $i ).
thf(tp_sK6_SY21,type,
sK6_SY21: ( $i > $i > $o ) > $i ).
thf(tp_spouse_THFTYPE_i,type,
spouse_THFTYPE_i: $i ).
thf(tp_subAttribute_THFTYPE_IiioI,type,
subAttribute_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subProcess_THFTYPE_IiioI,type,
subProcess_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subclass_THFTYPE_IiioI,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subrelation_THFTYPE_IIiioIIiioIoI,type,
subrelation_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_subrelation_THFTYPE_IIiioIioI,type,
subrelation_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $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(tp_temporalPart_THFTYPE_IiioI,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(10,axiom,
subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_219) ).
thf(20,axiom,
instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_209) ).
thf(28,axiom,
instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_201) ).
thf(33,axiom,
instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_196) ).
thf(38,axiom,
instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_191) ).
thf(56,axiom,
instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_173) ).
thf(64,axiom,
instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_165) ).
thf(78,axiom,
instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_151) ).
thf(80,axiom,
instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_149) ).
thf(87,axiom,
instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_142) ).
thf(96,axiom,
instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_133) ).
thf(101,axiom,
instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_128) ).
thf(111,axiom,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_118) ).
thf(116,axiom,
instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_113) ).
thf(120,axiom,
instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_109) ).
thf(130,axiom,
subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_099) ).
thf(138,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_091) ).
thf(141,axiom,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_088) ).
thf(157,axiom,
! [REL: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i )
<=> ! [INST1: $i,INST2: $i] :
( ( REL @ INST1 @ INST2 )
=> ( REL @ INST2 @ INST1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_072) ).
thf(177,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_052) ).
thf(178,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_051) ).
thf(186,axiom,
! [REL: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i )
<=> ! [INST: $i] :
~ ( REL @ INST @ INST ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_043) ).
thf(187,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042) ).
thf(207,axiom,
! [REL: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i )
<=> ! [INST1: $i,INST2: $i,INST3: $i] :
( ( ( REL @ INST1 @ INST2 )
& ( REL @ INST2 @ INST3 ) )
=> ( REL @ INST1 @ INST3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022) ).
thf(215,axiom,
subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_014) ).
thf(223,axiom,
! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).
thf(228,axiom,
! [REL: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ REL @ lSingleValuedRelation_THFTYPE_i )
=> ! [ROW: $i,ITEM1: $i,ITEM2: $i] :
( ( ( REL @ ROW @ ITEM1 )
& ( REL @ ROW @ ITEM2 ) )
=> ( ITEM1 = ITEM2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(230,conjecture,
? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(231,negated_conjecture,
( ( ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $false ),
inference(negate_conjecture,[status(cth)],[230]) ).
thf(232,plain,
( ( ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $false ),
inference(unfold_def,[status(thm)],[231]) ).
thf(233,plain,
( ( subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(234,plain,
( ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(235,plain,
( ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(236,plain,
( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(237,plain,
( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(238,plain,
( ( instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(239,plain,
( ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(240,plain,
( ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(241,plain,
( ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(242,plain,
( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(243,plain,
( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(244,plain,
( ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(245,plain,
( ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(246,plain,
( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(247,plain,
( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(248,plain,
( ( ! [REL: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i )
<=> ! [INST1: $i,INST2: $i] :
( ( REL @ INST1 @ INST2 )
=> ( REL @ INST2 @ INST1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(249,plain,
( ( ! [REL: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i )
<=> ! [INST: $i] :
~ ( REL @ INST @ INST ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(250,plain,
( ( ! [REL: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i )
<=> ! [INST1: $i,INST2: $i,INST3: $i] :
( ( ( REL @ INST1 @ INST2 )
& ( REL @ INST2 @ INST3 ) )
=> ( REL @ INST1 @ INST3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(251,plain,
( ( subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(252,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(253,plain,
( ( ! [REL: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ REL @ lSingleValuedRelation_THFTYPE_i )
=> ! [ROW: $i,ITEM1: $i,ITEM2: $i] :
( ( ( REL @ ROW @ ITEM1 )
& ( REL @ ROW @ ITEM2 ) )
=> ( ITEM1 = ITEM2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(254,plain,
( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(255,plain,
( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(256,plain,
( ( subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(257,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(258,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(259,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(260,plain,
( ( ~ ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $true ),
inference(polarity_switch,[status(thm)],[232]) ).
thf(261,plain,
( ( ! [X: $i] :
~ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $true ),
inference(extcnf_combined,[status(esa)],[260]) ).
thf(262,plain,
( ( ! [REL: $i > $i > $o] :
( ( ( REL @ ( sK1_INST1 @ REL ) @ ( sK2_SY18 @ REL ) )
& ~ ( REL @ ( sK2_SY18 @ REL ) @ ( sK1_INST1 @ REL ) ) )
| ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i ) )
& ! [REL: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i )
| ! [INST1: $i,INST2: $i] :
( ~ ( REL @ INST1 @ INST2 )
| ( REL @ INST2 @ INST1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[248]) ).
thf(263,plain,
( ( ! [REL: $i > $i > $o] :
( ( REL @ ( sK3_INST @ REL ) @ ( sK3_INST @ REL ) )
| ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i ) )
& ! [REL: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i )
| ! [INST: $i] :
~ ( REL @ INST @ INST ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[249]) ).
thf(264,plain,
( ( ! [REL: $i > $i > $o] :
( ( ( REL @ ( sK4_INST1 @ REL ) @ ( sK5_SY19 @ REL ) )
& ( REL @ ( sK5_SY19 @ REL ) @ ( sK6_SY21 @ REL ) )
& ~ ( REL @ ( sK4_INST1 @ REL ) @ ( sK6_SY21 @ REL ) ) )
| ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i ) )
& ! [REL: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i )
| ! [INST1: $i,INST2: $i,INST3: $i] :
( ~ ( REL @ INST1 @ INST2 )
| ~ ( REL @ INST2 @ INST3 )
| ( REL @ INST1 @ INST3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[250]) ).
thf(265,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
| ( ! [INST1: $i,INST2: $i] :
( ~ ( REL1 @ INST1 @ INST2 )
| ( REL2 @ INST2 @ INST1 ) )
& ! [INST1: $i,INST2: $i] :
( ~ ( REL2 @ INST2 @ INST1 )
| ( REL1 @ INST1 @ INST2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[252]) ).
thf(266,plain,
( ( ! [REL: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lSingleValuedRelation_THFTYPE_i )
| ! [ROW: $i,ITEM1: $i,ITEM2: $i] :
( ~ ( REL @ ROW @ ITEM1 )
| ~ ( REL @ ROW @ ITEM2 )
| ( ITEM1 = ITEM2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[253]) ).
thf(267,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(268,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(269,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(270,plain,
( ( subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(271,plain,
( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(272,plain,
( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(273,plain,
( ( ! [REL: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lSingleValuedRelation_THFTYPE_i )
| ! [ROW: $i,ITEM1: $i,ITEM2: $i] :
( ~ ( REL @ ROW @ ITEM1 )
| ~ ( REL @ ROW @ ITEM2 )
| ( ITEM1 = ITEM2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(274,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
| ( ! [INST1: $i,INST2: $i] :
( ~ ( REL1 @ INST1 @ INST2 )
| ( REL2 @ INST2 @ INST1 ) )
& ! [INST1: $i,INST2: $i] :
( ~ ( REL2 @ INST2 @ INST1 )
| ( REL1 @ INST1 @ INST2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(275,plain,
( ( subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(276,plain,
( ( ! [REL: $i > $i > $o] :
( ( ( REL @ ( sK4_INST1 @ REL ) @ ( sK5_SY19 @ REL ) )
& ( REL @ ( sK5_SY19 @ REL ) @ ( sK6_SY21 @ REL ) )
& ~ ( REL @ ( sK4_INST1 @ REL ) @ ( sK6_SY21 @ REL ) ) )
| ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i ) )
& ! [REL: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i )
| ! [INST1: $i,INST2: $i,INST3: $i] :
( ~ ( REL @ INST1 @ INST2 )
| ~ ( REL @ INST2 @ INST3 )
| ( REL @ INST1 @ INST3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(277,plain,
( ( ! [REL: $i > $i > $o] :
( ( REL @ ( sK3_INST @ REL ) @ ( sK3_INST @ REL ) )
| ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i ) )
& ! [REL: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i )
| ! [INST: $i] :
~ ( REL @ INST @ INST ) ) )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(278,plain,
( ( ! [REL: $i > $i > $o] :
( ( ( REL @ ( sK1_INST1 @ REL ) @ ( sK2_SY18 @ REL ) )
& ~ ( REL @ ( sK2_SY18 @ REL ) @ ( sK1_INST1 @ REL ) ) )
| ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i ) )
& ! [REL: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i )
| ! [INST1: $i,INST2: $i] :
( ~ ( REL @ INST1 @ INST2 )
| ( REL @ INST2 @ INST1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(279,plain,
( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(280,plain,
( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(281,plain,
( ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(282,plain,
( ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(283,plain,
( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(284,plain,
( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(285,plain,
( ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(286,plain,
( ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(287,plain,
( ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(288,plain,
( ( instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(289,plain,
( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(290,plain,
( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(291,plain,
( ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(292,plain,
( ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(293,plain,
( ( subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(294,plain,
( ( ! [X: $i] :
~ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(295,plain,
( ( ~ ( ~ ! [SX0: $i > $i > $o] :
( ~ ( ~ ( SX0 @ ( sK1_INST1 @ SX0 ) @ ( sK2_SY18 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK2_SY18 @ SX0 ) @ ( sK1_INST1 @ SX0 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i ) )
| ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i )
| ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(296,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SX1 @ SX0 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( SX1 @ SX2 @ SX3 )
| ( SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX3 @ SX2 )
| ( SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(297,plain,
( ( ~ ( ~ ! [SX0: $i > $i > $o] :
( ( SX0 @ ( sK3_INST @ SX0 ) @ ( sK3_INST @ SX0 ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i ) )
| ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i )
| ! [SX1: $i] :
~ ( SX0 @ SX1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(298,plain,
( ( ~ ( ~ ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK5_SY19 @ SX0 ) )
| ~ ( SX0 @ ( sK5_SY19 @ SX0 ) @ ( sK6_SY21 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK6_SY21 @ SX0 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i ) )
| ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 )
| ( SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(299,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
| ! [SY22: $i,SY23: $i,SY24: $i] :
( ~ ( SV1 @ SY22 @ SY23 )
| ~ ( SV1 @ SY22 @ SY24 )
| ( SY23 = SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(300,plain,
! [SV2: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ SV2 @ lCorina_THFTYPE_i ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(301,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ~ ( ~ ( SX0 @ ( sK1_INST1 @ SX0 ) @ ( sK2_SY18 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK2_SY18 @ SX0 ) @ ( sK1_INST1 @ SX0 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i ) )
| ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i )
| ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(302,plain,
! [SV3: $i > $i > $o] :
( ( ! [SY25: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY25 @ SV3 )
| ~ ( ~ ! [SY26: $i,SY27: $i] :
( ~ ( SY25 @ SY26 @ SY27 )
| ( SV3 @ SY27 @ SY26 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ~ ( SV3 @ SY29 @ SY28 )
| ( SY25 @ SY28 @ SY29 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(303,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ( SX0 @ ( sK3_INST @ SX0 ) @ ( sK3_INST @ SX0 ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i ) )
| ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i )
| ! [SX1: $i] :
~ ( SX0 @ SX1 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(304,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK5_SY19 @ SX0 ) )
| ~ ( SX0 @ ( sK5_SY19 @ SX0 ) @ ( sK6_SY21 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK6_SY21 @ SX0 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i ) )
| ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(305,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i ) )
= $true )
| ( ( ! [SY22: $i,SY23: $i,SY24: $i] :
( ~ ( SV1 @ SY22 @ SY23 )
| ~ ( SV1 @ SY22 @ SY24 )
| ( SY23 = SY24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(306,plain,
! [SV2: $i] :
( ( husband_THFTYPE_IiioI @ SV2 @ lCorina_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(307,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ~ ( ~ ( SX0 @ ( sK1_INST1 @ SX0 ) @ ( sK2_SY18 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK2_SY18 @ SX0 ) @ ( sK1_INST1 @ SX0 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(308,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i )
| ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(309,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
| ~ ( ~ ! [SY30: $i,SY31: $i] :
( ~ ( SV4 @ SY30 @ SY31 )
| ( SV3 @ SY31 @ SY30 ) )
| ~ ! [SY32: $i,SY33: $i] :
( ~ ( SV3 @ SY33 @ SY32 )
| ( SV4 @ SY32 @ SY33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(310,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ( SX0 @ ( sK3_INST @ SX0 ) @ ( sK3_INST @ SX0 ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(311,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i )
| ! [SX1: $i] :
~ ( SX0 @ SX1 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(312,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK5_SY19 @ SX0 ) )
| ~ ( SX0 @ ( sK5_SY19 @ SX0 ) @ ( sK6_SY21 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK6_SY21 @ SX0 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(313,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(314,plain,
! [SV1: $i > $i > $o] :
( ( ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
= $false )
| ( ( ! [SY22: $i,SY23: $i,SY24: $i] :
( ~ ( SV1 @ SY22 @ SY23 )
| ~ ( SV1 @ SY22 @ SY24 )
| ( SY23 = SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(315,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ( SX0 @ ( sK1_INST1 @ SX0 ) @ ( sK2_SY18 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK2_SY18 @ SX0 ) @ ( sK1_INST1 @ SX0 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(316,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i )
| ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(317,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i,SY31: $i] :
( ~ ( SV4 @ SY30 @ SY31 )
| ( SV3 @ SY31 @ SY30 ) )
| ~ ! [SY32: $i,SY33: $i] :
( ~ ( SV3 @ SY33 @ SY32 )
| ( SV4 @ SY32 @ SY33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(318,plain,
( ( ! [SX0: $i > $i > $o] :
( ( SX0 @ ( sK3_INST @ SX0 ) @ ( sK3_INST @ SX0 ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(319,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i )
| ! [SX1: $i] :
~ ( SX0 @ SX1 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(320,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK5_SY19 @ SX0 ) )
| ~ ( SX0 @ ( sK5_SY19 @ SX0 ) @ ( sK6_SY21 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK6_SY21 @ SX0 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(321,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(322,plain,
! [SV5: $i,SV1: $i > $i > $o] :
( ( ( ! [SY34: $i,SY35: $i] :
( ~ ( SV1 @ SV5 @ SY34 )
| ~ ( SV1 @ SV5 @ SY35 )
| ( SY34 = SY35 ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(323,plain,
! [SV6: $i > $i > $o] :
( ( ~ ( ~ ( SV6 @ ( sK1_INST1 @ SV6 ) @ ( sK2_SY18 @ SV6 ) )
| ~ ~ ( SV6 @ ( sK2_SY18 @ SV6 ) @ ( sK1_INST1 @ SV6 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SV6 @ lSymmetricRelation_THFTYPE_i ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(324,plain,
! [SV7: $i > $i > $o] :
( ( ~ ( instance_THFTYPE_IIiioIioI @ SV7 @ lSymmetricRelation_THFTYPE_i )
| ! [SY36: $i,SY37: $i] :
( ~ ( SV7 @ SY36 @ SY37 )
| ( SV7 @ SY37 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(325,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false )
| ( ( ~ ( ~ ! [SY30: $i,SY31: $i] :
( ~ ( SV4 @ SY30 @ SY31 )
| ( SV3 @ SY31 @ SY30 ) )
| ~ ! [SY32: $i,SY33: $i] :
( ~ ( SV3 @ SY33 @ SY32 )
| ( SV4 @ SY32 @ SY33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(326,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK3_INST @ SV8 ) @ ( sK3_INST @ SV8 ) )
| ( instance_THFTYPE_IIiioIioI @ SV8 @ lIrreflexiveRelation_THFTYPE_i ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(327,plain,
! [SV9: $i > $i > $o] :
( ( ~ ( instance_THFTYPE_IIiioIioI @ SV9 @ lIrreflexiveRelation_THFTYPE_i )
| ! [SY38: $i] :
~ ( SV9 @ SY38 @ SY38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(328,plain,
! [SV10: $i > $i > $o] :
( ( ~ ( ~ ~ ( ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK5_SY19 @ SV10 ) )
| ~ ( SV10 @ ( sK5_SY19 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
| ~ ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
| ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(329,plain,
! [SV11: $i > $i > $o] :
( ( ~ ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
| ! [SY39: $i,SY40: $i,SY41: $i] :
( ~ ( SV11 @ SY39 @ SY40 )
| ~ ( SV11 @ SY40 @ SY41 )
| ( SV11 @ SY39 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(330,plain,
! [SV12: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ! [SY42: $i] :
( ~ ( SV1 @ SV5 @ SV12 )
| ~ ( SV1 @ SV5 @ SY42 )
| ( SV12 = SY42 ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(331,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK1_INST1 @ SV6 ) @ ( sK2_SY18 @ SV6 ) )
| ~ ~ ( SV6 @ ( sK2_SY18 @ SV6 ) @ ( sK1_INST1 @ SV6 ) ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV6 @ lSymmetricRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(332,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV7 @ lSymmetricRelation_THFTYPE_i ) )
= $true )
| ( ( ! [SY36: $i,SY37: $i] :
( ~ ( SV7 @ SY36 @ SY37 )
| ( SV7 @ SY37 @ SY36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(333,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ! [SY30: $i,SY31: $i] :
( ~ ( SV4 @ SY30 @ SY31 )
| ( SV3 @ SY31 @ SY30 ) )
| ~ ! [SY32: $i,SY33: $i] :
( ~ ( SV3 @ SY33 @ SY32 )
| ( SV4 @ SY32 @ SY33 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(334,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK3_INST @ SV8 ) @ ( sK3_INST @ SV8 ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV8 @ lIrreflexiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(335,plain,
! [SV9: $i > $i > $o] :
( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV9 @ lIrreflexiveRelation_THFTYPE_i ) )
= $true )
| ( ( ! [SY38: $i] :
~ ( SV9 @ SY38 @ SY38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(336,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK5_SY19 @ SV10 ) )
| ~ ( SV10 @ ( sK5_SY19 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
| ~ ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(337,plain,
! [SV11: $i > $i > $o] :
( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i ) )
= $true )
| ( ( ! [SY39: $i,SY40: $i,SY41: $i] :
( ~ ( SV11 @ SY39 @ SY40 )
| ~ ( SV11 @ SY40 @ SY41 )
| ( SV11 @ SY39 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(338,plain,
! [SV13: $i,SV12: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV12 )
| ~ ( SV1 @ SV5 @ SV13 )
| ( SV12 = SV13 ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(339,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK1_INST1 @ SV6 ) @ ( sK2_SY18 @ SV6 ) )
| ~ ~ ( SV6 @ ( sK2_SY18 @ SV6 ) @ ( sK1_INST1 @ SV6 ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV6 @ lSymmetricRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(340,plain,
! [SV7: $i > $i > $o] :
( ( ( instance_THFTYPE_IIiioIioI @ SV7 @ lSymmetricRelation_THFTYPE_i )
= $false )
| ( ( ! [SY36: $i,SY37: $i] :
( ~ ( SV7 @ SY36 @ SY37 )
| ( SV7 @ SY37 @ SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(341,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ! [SY30: $i,SY31: $i] :
( ~ ( SV4 @ SY30 @ SY31 )
| ( SV3 @ SY31 @ SY30 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(342,plain,
! [SV4: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( SV3 @ SY33 @ SY32 )
| ( SV4 @ SY32 @ SY33 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(343,plain,
! [SV9: $i > $i > $o] :
( ( ( instance_THFTYPE_IIiioIioI @ SV9 @ lIrreflexiveRelation_THFTYPE_i )
= $false )
| ( ( ! [SY38: $i] :
~ ( SV9 @ SY38 @ SY38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(344,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK5_SY19 @ SV10 ) )
| ~ ( SV10 @ ( sK5_SY19 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
| ~ ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(345,plain,
! [SV11: $i > $i > $o] :
( ( ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
= $false )
| ( ( ! [SY39: $i,SY40: $i,SY41: $i] :
( ~ ( SV11 @ SY39 @ SY40 )
| ~ ( SV11 @ SY40 @ SY41 )
| ( SV11 @ SY39 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(346,plain,
! [SV13: $i,SV12: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV12 )
| ~ ( SV1 @ SV5 @ SV13 ) )
= $true )
| ( ( SV12 = SV13 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(347,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK1_INST1 @ SV6 ) @ ( sK2_SY18 @ SV6 ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV6 @ lSymmetricRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(348,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( SV6 @ ( sK2_SY18 @ SV6 ) @ ( sK1_INST1 @ SV6 ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV6 @ lSymmetricRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(349,plain,
! [SV14: $i,SV7: $i > $i > $o] :
( ( ( ! [SY43: $i] :
( ~ ( SV7 @ SV14 @ SY43 )
| ( SV7 @ SY43 @ SV14 ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV7 @ lSymmetricRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(350,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ! [SY30: $i,SY31: $i] :
( ~ ( SV4 @ SY30 @ SY31 )
| ( SV3 @ SY31 @ SY30 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(351,plain,
! [SV4: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ! [SY32: $i,SY33: $i] :
( ~ ( SV3 @ SY33 @ SY32 )
| ( SV4 @ SY32 @ SY33 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(352,plain,
! [SV15: $i,SV9: $i > $i > $o] :
( ( ( ~ ( SV9 @ SV15 @ SV15 ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV9 @ lIrreflexiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(353,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK5_SY19 @ SV10 ) )
| ~ ( SV10 @ ( sK5_SY19 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(354,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(355,plain,
! [SV16: $i,SV11: $i > $i > $o] :
( ( ( ! [SY44: $i,SY45: $i] :
( ~ ( SV11 @ SV16 @ SY44 )
| ~ ( SV11 @ SY44 @ SY45 )
| ( SV11 @ SV16 @ SY45 ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(356,plain,
! [SV13: $i,SV12: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV12 ) )
= $true )
| ( ( ~ ( SV1 @ SV5 @ SV13 ) )
= $true )
| ( ( SV12 = SV13 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(357,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK1_INST1 @ SV6 ) @ ( sK2_SY18 @ SV6 ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV6 @ lSymmetricRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(358,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK2_SY18 @ SV6 ) @ ( sK1_INST1 @ SV6 ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV6 @ lSymmetricRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(359,plain,
! [SV17: $i,SV14: $i,SV7: $i > $i > $o] :
( ( ( ~ ( SV7 @ SV14 @ SV17 )
| ( SV7 @ SV17 @ SV14 ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV7 @ lSymmetricRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(360,plain,
! [SV3: $i > $i > $o,SV18: $i,SV4: $i > $i > $o] :
( ( ( ! [SY46: $i] :
( ~ ( SV4 @ SV18 @ SY46 )
| ( SV3 @ SY46 @ SV18 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(361,plain,
! [SV4: $i > $i > $o,SV19: $i,SV3: $i > $i > $o] :
( ( ( ! [SY47: $i] :
( ~ ( SV3 @ SY47 @ SV19 )
| ( SV4 @ SV19 @ SY47 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(362,plain,
! [SV15: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ SV15 @ SV15 )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV9 @ lIrreflexiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(363,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ( ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK5_SY19 @ SV10 ) )
| ~ ( SV10 @ ( sK5_SY19 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(364,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(365,plain,
! [SV20: $i,SV16: $i,SV11: $i > $i > $o] :
( ( ( ! [SY48: $i] :
( ~ ( SV11 @ SV16 @ SV20 )
| ~ ( SV11 @ SV20 @ SY48 )
| ( SV11 @ SV16 @ SY48 ) ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(366,plain,
! [SV13: $i,SV12: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV12 )
= $false )
| ( ( ~ ( SV1 @ SV5 @ SV13 ) )
= $true )
| ( ( SV12 = SV13 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(367,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK2_SY18 @ SV6 ) @ ( sK1_INST1 @ SV6 ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV6 @ lSymmetricRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(368,plain,
! [SV17: $i,SV14: $i,SV7: $i > $i > $o] :
( ( ( ~ ( SV7 @ SV14 @ SV17 ) )
= $true )
| ( ( SV7 @ SV17 @ SV14 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV7 @ lSymmetricRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(369,plain,
! [SV3: $i > $i > $o,SV21: $i,SV18: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV18 @ SV21 )
| ( SV3 @ SV21 @ SV18 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(370,plain,
! [SV4: $i > $i > $o,SV19: $i,SV22: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV22 @ SV19 )
| ( SV4 @ SV19 @ SV22 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(371,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK5_SY19 @ SV10 ) )
| ~ ( SV10 @ ( sK5_SY19 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(372,plain,
! [SV10: $i > $i > $o] :
( ( ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK6_SY21 @ SV10 ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(373,plain,
! [SV23: $i,SV20: $i,SV16: $i,SV11: $i > $i > $o] :
( ( ( ~ ( SV11 @ SV16 @ SV20 )
| ~ ( SV11 @ SV20 @ SV23 )
| ( SV11 @ SV16 @ SV23 ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(374,plain,
! [SV12: $i,SV13: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV13 )
= $false )
| ( ( SV1 @ SV5 @ SV12 )
= $false )
| ( ( SV12 = SV13 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV1 @ lSingleValuedRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(375,plain,
! [SV17: $i,SV14: $i,SV7: $i > $i > $o] :
( ( ( SV7 @ SV14 @ SV17 )
= $false )
| ( ( SV7 @ SV17 @ SV14 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV7 @ lSymmetricRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(376,plain,
! [SV3: $i > $i > $o,SV21: $i,SV18: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV18 @ SV21 ) )
= $true )
| ( ( SV3 @ SV21 @ SV18 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(377,plain,
! [SV4: $i > $i > $o,SV19: $i,SV22: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV22 @ SV19 ) )
= $true )
| ( ( SV4 @ SV19 @ SV22 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(378,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK5_SY19 @ SV10 ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(379,plain,
! [SV10: $i > $i > $o] :
( ( ( ~ ( SV10 @ ( sK5_SY19 @ SV10 ) @ ( sK6_SY21 @ SV10 ) ) )
= $false )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(380,plain,
! [SV23: $i,SV20: $i,SV16: $i,SV11: $i > $i > $o] :
( ( ( ~ ( SV11 @ SV16 @ SV20 )
| ~ ( SV11 @ SV20 @ SV23 ) )
= $true )
| ( ( SV11 @ SV16 @ SV23 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(381,plain,
! [SV3: $i > $i > $o,SV21: $i,SV18: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV18 @ SV21 )
= $false )
| ( ( SV3 @ SV21 @ SV18 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(382,plain,
! [SV4: $i > $i > $o,SV19: $i,SV22: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV22 @ SV19 )
= $false )
| ( ( SV4 @ SV19 @ SV22 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(383,plain,
! [SV10: $i > $i > $o] :
( ( ( SV10 @ ( sK4_INST1 @ SV10 ) @ ( sK5_SY19 @ SV10 ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(384,plain,
! [SV10: $i > $i > $o] :
( ( ( SV10 @ ( sK5_SY19 @ SV10 ) @ ( sK6_SY21 @ SV10 ) )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV10 @ lTransitiveRelation_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(385,plain,
! [SV23: $i,SV20: $i,SV16: $i,SV11: $i > $i > $o] :
( ( ( ~ ( SV11 @ SV16 @ SV20 ) )
= $true )
| ( ( ~ ( SV11 @ SV20 @ SV23 ) )
= $true )
| ( ( SV11 @ SV16 @ SV23 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(386,plain,
! [SV23: $i,SV20: $i,SV16: $i,SV11: $i > $i > $o] :
( ( ( SV11 @ SV16 @ SV20 )
= $false )
| ( ( ~ ( SV11 @ SV20 @ SV23 ) )
= $true )
| ( ( SV11 @ SV16 @ SV23 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(387,plain,
! [SV16: $i,SV23: $i,SV20: $i,SV11: $i > $i > $o] :
( ( ( SV11 @ SV20 @ SV23 )
= $false )
| ( ( SV11 @ SV16 @ SV20 )
= $false )
| ( ( SV11 @ SV16 @ SV23 )
= $true )
| ( ( instance_THFTYPE_IIiioIioI @ SV11 @ lTransitiveRelation_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(388,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[267,387,384,383,382,381,375,374,372,367,362,357,334,306,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,275,272,271,270,269,268]) ).
thf(389,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR142^2 : 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
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 18:55:39 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.35 .
% 0.52/0.35
% 0.52/0.35 No.of.Axioms: 229
% 0.52/0.35
% 0.52/0.35 Length.of.Defs: 0
% 0.52/0.35
% 0.52/0.35 Contains.Choice.Funs: false
% 0.52/0.35 ......
% 0.52/0.35
% 0.52/0.35 ********************************
% 0.52/0.35 * All subproblems solved! *
% 0.52/0.35 ********************************
% 0.52/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:27,ps:3,u:5,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:388,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.52/0.35
% 0.52/0.35 %**** Beginning of derivation protocol ****
% 0.52/0.35 % SZS output start CNFRefutation
% See solution above
% 0.52/0.35
% 0.52/0.35 %**** End of derivation protocol ****
% 0.52/0.35 %**** no. of clauses in derivation: 187 ****
% 0.52/0.35 %**** clause counter: 388 ****
% 0.52/0.35
% 0.52/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:27,ps:3,u:5,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:388,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------