%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR150^2 : 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 : n017.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 10:16:17 AM UTC 2026
% Result : Theorem 0.56s 0.30s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 96 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 576 ( 162 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 1092 ( 312 ~; 167 |; 6 &; 598 @)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 122 ( 119 usr; 60 con; 0-3 aty)
% Number of variables : 236 ( 16 ^; 209 !; 11 ?; 236 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_agent_THFTYPE_IiioI,type,
agent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_attribute_THFTYPE_i,type,
attribute_THFTYPE_i: $i ).
thf(tp_before_THFTYPE_IiioI,type,
before_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_containsInformation_THFTYPE_i,type,
containsInformation_THFTYPE_i: $i ).
thf(tp_disjointDecomposition_THFTYPE_IiioI,type,
disjointDecomposition_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_disjointDecomposition_THFTYPE_IioI,type,
disjointDecomposition_THFTYPE_IioI: $i > $o ).
thf(tp_disjointRelation_THFTYPE_IiIiioIoI,type,
disjointRelation_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $o ).
thf(tp_disjointRelation_THFTYPE_IiioI,type,
disjointRelation_THFTYPE_IiioI: $i > $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_IIiiiIiioI,type,
domainSubclass_THFTYPE_IIiiiIiioI: ( $i > $i > $i ) > $i > $i > $o ).
thf(tp_domainSubclass_THFTYPE_IIiioIiioI,type,
domainSubclass_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_domainSubclass_THFTYPE_IiiioI,type,
domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIIiiiIiioIiioI,type,
domain_THFTYPE_IIIiiiIiioIiioI: ( ( $i > $i > $i ) > $i > $i > $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_IIiooIiioI,type,
domain_THFTYPE_IIiooIiioI: ( $i > $o > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IiiioI,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_duration_THFTYPE_IiioI,type,
duration_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_equal_THFTYPE_i,type,
equal_THFTYPE_i: $i ).
thf(tp_grandchild_THFTYPE_IiioI,type,
grandchild_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_grandparent_THFTYPE_IiioI,type,
grandparent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_greaterThan_THFTYPE_i,type,
greaterThan_THFTYPE_i: $i ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_inList_THFTYPE_IiioI,type,
inList_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_instance_THFTYPE_IIIiiiIiioIioI,type,
instance_THFTYPE_IIIiiiIiioIioI: ( ( $i > $i > $i ) > $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIIiioIiioIioI,type,
instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiIiioIoIioI,type,
instance_THFTYPE_IIiIiioIoIioI: ( $i > ( $i > $i > $o ) > $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_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_instrument_THFTYPE_IiioI,type,
instrument_THFTYPE_IiioI: $i > $i > $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_lCardinalityFn_THFTYPE_IIioIiI,type,
lCardinalityFn_THFTYPE_IIioIiI: ( $i > $o ) > $i ).
thf(tp_lCardinalityFn_THFTYPE_IiiI,type,
lCardinalityFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lClass_THFTYPE_i,type,
lClass_THFTYPE_i: $i ).
thf(tp_lContentBearingObject_THFTYPE_i,type,
lContentBearingObject_THFTYPE_i: $i ).
thf(tp_lContentBearingPhysical_THFTYPE_i,type,
lContentBearingPhysical_THFTYPE_i: $i ).
thf(tp_lDayDuration_THFTYPE_i,type,
lDayDuration_THFTYPE_i: $i ).
thf(tp_lDay_THFTYPE_i,type,
lDay_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_lFormula_THFTYPE_i,type,
lFormula_THFTYPE_i: $i ).
thf(tp_lHumanLanguage_THFTYPE_i,type,
lHumanLanguage_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_lJohn_THFTYPE_i,type,
lJohn_THFTYPE_i: $i ).
thf(tp_lKappaFn_THFTYPE_i,type,
lKappaFn_THFTYPE_i: $i ).
thf(tp_lLanguage_THFTYPE_i,type,
lLanguage_THFTYPE_i: $i ).
thf(tp_lLinguisticExpression_THFTYPE_i,type,
lLinguisticExpression_THFTYPE_i: $i ).
thf(tp_lListFn_THFTYPE_IiiI,type,
lListFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lMeasureFn_THFTYPE_IiiiI,type,
lMeasureFn_THFTYPE_IiiiI: $i > $i > $i ).
thf(tp_lMonthFn_THFTYPE_i,type,
lMonthFn_THFTYPE_i: $i ).
thf(tp_lMonth_THFTYPE_i,type,
lMonth_THFTYPE_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_lPhysical_THFTYPE_i,type,
lPhysical_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_lRelationExtendedToQuantities_THFTYPE_i,type,
lRelationExtendedToQuantities_THFTYPE_i: $i ).
thf(tp_lRelation_THFTYPE_i,type,
lRelation_THFTYPE_i: $i ).
thf(tp_lSetOrClass_THFTYPE_i,type,
lSetOrClass_THFTYPE_i: $i ).
thf(tp_lSymbolicString_THFTYPE_i,type,
lSymbolicString_THFTYPE_i: $i ).
thf(tp_lTemporalCompositionFn_THFTYPE_IiiiI,type,
lTemporalCompositionFn_THFTYPE_IiiiI: $i > $i > $i ).
thf(tp_lTemporalCompositionFn_THFTYPE_i,type,
lTemporalCompositionFn_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_lText_THFTYPE_i,type,
lText_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_lWhenFn_THFTYPE_IiiI,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lWhenFn_THFTYPE_i,type,
lWhenFn_THFTYPE_i: $i ).
thf(tp_lessThanOrEqualTo_THFTYPE_i,type,
lessThanOrEqualTo_THFTYPE_i: $i ).
thf(tp_lessThan_THFTYPE_i,type,
lessThan_THFTYPE_i: $i ).
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_n1_THFTYPE_i,type,
n1_THFTYPE_i: $i ).
thf(tp_n2_THFTYPE_i,type,
n2_THFTYPE_i: $i ).
thf(tp_n3_THFTYPE_i,type,
n3_THFTYPE_i: $i ).
thf(tp_orientation_THFTYPE_i,type,
orientation_THFTYPE_i: $i ).
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_rangeSubclass_THFTYPE_IiioI,type,
rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_range_THFTYPE_IiioI,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_relatedExternalConcept_THFTYPE_i,type,
relatedExternalConcept_THFTYPE_i: $i ).
thf(tp_relatedInternalConcept_THFTYPE_IIiioIIiioIoI,type,
relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_relatedInternalConcept_THFTYPE_IIioIIiioIoI,type,
relatedInternalConcept_THFTYPE_IIioIIiioIoI: ( $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_relatedInternalConcept_THFTYPE_IiIiioIoI,type,
relatedInternalConcept_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $o ).
thf(tp_relatedInternalConcept_THFTYPE_IiioI,type,
relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_result_THFTYPE_i,type,
result_THFTYPE_i: $i ).
thf(tp_sK1_SY19,type,
sK1_SY19: $i > $i > $i ).
thf(tp_sK2_SY21,type,
sK2_SY21: $i > $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_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(218,axiom,
! [X: $i,Y: $i] :
( ( grandchild_THFTYPE_IiioI @ X @ Y )
<=> ? [Z: $i] :
( ( parent_THFTYPE_IiioI @ Z @ X )
& ( parent_THFTYPE_IiioI @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_037) ).
thf(219,axiom,
! [X: $i,Y: $i] :
( ( grandchild_THFTYPE_IiioI @ X @ Y )
<=> ? [Z: $i] :
( ( parent_THFTYPE_IiioI @ Z @ X )
& ( parent_THFTYPE_IiioI @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_036) ).
thf(242,axiom,
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_013) ).
thf(243,axiom,
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_012) ).
thf(253,axiom,
! [NUMBER2: $i,NUMBER1: $i] :
( ( ltet_THFTYPE_IiioI @ NUMBER1 @ NUMBER2 )
<=> ( ( NUMBER1 = NUMBER2 )
| ( lt_THFTYPE_IiioI @ NUMBER1 @ NUMBER2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(256,conjecture,
? [Y: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(257,negated_conjecture,
( ( ? [Y: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ) )
= $false ),
inference(negate_conjecture,[status(cth)],[256]) ).
thf(258,plain,
( ( ? [Y: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ) )
= $false ),
inference(unfold_def,[status(thm)],[257]) ).
thf(259,plain,
( ( ! [X: $i,Y: $i] :
( ( grandchild_THFTYPE_IiioI @ X @ Y )
<=> ? [Z: $i] :
( ( parent_THFTYPE_IiioI @ Z @ X )
& ( parent_THFTYPE_IiioI @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(260,plain,
( ( ! [X: $i,Y: $i] :
( ( grandchild_THFTYPE_IiioI @ X @ Y )
<=> ? [Z: $i] :
( ( parent_THFTYPE_IiioI @ Z @ X )
& ( parent_THFTYPE_IiioI @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(261,plain,
( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(262,plain,
( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(263,plain,
( ( ! [NUMBER2: $i,NUMBER1: $i] :
( ( ltet_THFTYPE_IiioI @ NUMBER1 @ NUMBER2 )
<=> ( ( NUMBER1 = NUMBER2 )
| ( lt_THFTYPE_IiioI @ NUMBER1 @ NUMBER2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(264,plain,
( ( ~ ? [Y: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ) )
= $true ),
inference(polarity_switch,[status(thm)],[258]) ).
thf(265,plain,
( ( ! [NUMBER2: $i,NUMBER1: $i] :
( ( ltet_THFTYPE_IiioI @ NUMBER1 @ NUMBER2 )
<=> ( ( NUMBER1 = NUMBER2 )
| ( lt_THFTYPE_IiioI @ NUMBER1 @ NUMBER2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(266,plain,
( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(267,plain,
( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(268,plain,
( ( ! [X: $i,Y: $i] :
( ( grandchild_THFTYPE_IiioI @ X @ Y )
<=> ? [Z: $i] :
( ( parent_THFTYPE_IiioI @ Z @ X )
& ( parent_THFTYPE_IiioI @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(269,plain,
( ( ! [X: $i,Y: $i] :
( ( grandchild_THFTYPE_IiioI @ X @ Y )
<=> ? [Z: $i] :
( ( parent_THFTYPE_IiioI @ Z @ X )
& ( parent_THFTYPE_IiioI @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(270,plain,
( ( ~ ? [Y: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ) )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(271,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ltet_THFTYPE_IiioI @ SX1 @ SX0 )
| ( SX1 = SX0 )
| ( lt_THFTYPE_IiioI @ SX1 @ SX0 ) )
| ~ ( ~ ( ( SX1 = SX0 )
| ( lt_THFTYPE_IiioI @ SX1 @ SX0 ) )
| ( ltet_THFTYPE_IiioI @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(272,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 ) )
| ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(273,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 ) )
| ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(274,plain,
( ( ~ ~ ! [SX0: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX1: $i] : ( grandchild_THFTYPE_IiioI @ SX1 @ lJohn_THFTYPE_i ) )
@ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(275,plain,
! [SV1: $i] :
( ( ! [SY12: $i] :
~ ( ~ ( ~ ( ltet_THFTYPE_IiioI @ SY12 @ SV1 )
| ( SY12 = SV1 )
| ( lt_THFTYPE_IiioI @ SY12 @ SV1 ) )
| ~ ( ~ ( ( SY12 = SV1 )
| ( lt_THFTYPE_IiioI @ SY12 @ SV1 ) )
| ( ltet_THFTYPE_IiioI @ SY12 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(276,plain,
! [SV2: $i] :
( ( ! [SY13: $i] :
~ ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SV2 @ SY13 )
| ~ ! [SY14: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY14 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SY13 @ SY14 ) ) )
| ~ ( ~ ~ ! [SY15: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY15 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SY13 @ SY15 ) )
| ( grandchild_THFTYPE_IiioI @ SV2 @ SY13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(277,plain,
! [SV3: $i] :
( ( ! [SY16: $i] :
~ ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SY16 )
| ~ ! [SY17: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY17 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SY16 @ SY17 ) ) )
| ~ ( ~ ~ ! [SY18: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY18 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SY16 @ SY18 ) )
| ( grandchild_THFTYPE_IiioI @ SV3 @ SY16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(278,plain,
( ( ~ ! [SX0: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX1: $i] : ( grandchild_THFTYPE_IiioI @ SX1 @ lJohn_THFTYPE_i ) )
@ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(279,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
| ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
| ~ ( ~ ( ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
| ( ltet_THFTYPE_IiioI @ SV4 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(280,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
| ~ ! [SY19: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY19 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY19 ) ) )
| ~ ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY20 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY20 ) )
| ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(281,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
| ~ ! [SY21: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY21 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY21 ) ) )
| ~ ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY22 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY22 ) )
| ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(282,plain,
( ( ! [SX0: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX1: $i] : ( grandchild_THFTYPE_IiioI @ SX1 @ lJohn_THFTYPE_i ) )
@ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(283,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( ~ ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
| ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
| ~ ( ~ ( ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
| ( ltet_THFTYPE_IiioI @ SV4 @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(284,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
| ~ ! [SY19: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY19 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY19 ) ) )
| ~ ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY20 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY20 ) )
| ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(285,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
| ~ ! [SY21: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY21 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY21 ) ) )
| ~ ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY22 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY22 ) )
| ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(286,plain,
! [SV7: $i] :
( ( ~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX1: $i] : ( grandchild_THFTYPE_IiioI @ SX1 @ lJohn_THFTYPE_i ) )
@ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(287,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( ~ ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
| ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(288,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( ~ ( ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
| ( ltet_THFTYPE_IiioI @ SV4 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(289,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
| ~ ! [SY19: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY19 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY19 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(290,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY20 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY20 ) )
| ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(291,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
| ~ ! [SY21: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY21 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY21 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(292,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY22 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY22 ) )
| ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(293,plain,
! [SV7: $i] :
( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX1: $i] : ( grandchild_THFTYPE_IiioI @ SX1 @ lJohn_THFTYPE_i ) )
@ SV7 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(294,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
| ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(295,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
| ( ltet_THFTYPE_IiioI @ SV4 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(296,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
| ~ ! [SY19: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY19 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY19 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(297,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY20 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY20 ) )
| ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(298,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
| ~ ! [SY21: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY21 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(299,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY22 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY22 ) )
| ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(300,plain,
! [SV1: $i,SV4: $i] :
( ( ( ~ ( ltet_THFTYPE_IiioI @ SV4 @ SV1 ) )
= $true )
| ( ( ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(301,plain,
! [SV1: $i,SV4: $i] :
( ( ( ~ ( ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) ) )
= $true )
| ( ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(302,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ! [SY19: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY19 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(303,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY20 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY20 ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(304,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ! [SY21: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY21 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(305,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY22 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY22 ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(306,plain,
! [SV1: $i,SV4: $i] :
( ( ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
= $false )
| ( ( ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(307,plain,
! [SV1: $i,SV4: $i] :
( ( ( ( SV4 = SV1 )
| ( lt_THFTYPE_IiioI @ SV4 @ SV1 ) )
= $false )
| ( ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(308,plain,
! [SV5: $i,SV2: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false )
| ( ( ~ ! [SY19: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY19 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(309,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY20 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY20 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(310,plain,
! [SV6: $i,SV3: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false )
| ( ( ~ ! [SY21: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY21 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(311,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY22 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY22 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(312,plain,
! [SV1: $i,SV4: $i] :
( ( ( SV4 = SV1 )
= $true )
| ( ( lt_THFTYPE_IiioI @ SV4 @ SV1 )
= $true )
| ( ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(313,plain,
! [SV1: $i,SV4: $i] :
( ( ( SV4 = SV1 )
= $false )
| ( ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(314,plain,
! [SV1: $i,SV4: $i] :
( ( ( lt_THFTYPE_IiioI @ SV4 @ SV1 )
= $false )
| ( ( ltet_THFTYPE_IiioI @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(315,plain,
! [SV5: $i,SV2: $i] :
( ( ( ! [SY19: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY19 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY19 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(316,plain,
! [SV5: $i,SV2: $i] :
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY20 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SY20 ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(317,plain,
! [SV6: $i,SV3: $i] :
( ( ( ! [SY21: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY21 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY21 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(318,plain,
! [SV6: $i,SV3: $i] :
( ( ( ! [SY22: $i] :
~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY22 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY22 ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(319,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_SY19 @ SV5 @ SV2 ) @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK1_SY19 @ SV5 @ SV2 ) ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[315]) ).
thf(320,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV8 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SV8 ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(321,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK2_SY21 @ SV6 @ SV3 ) @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ ( sK2_SY21 @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[317]) ).
thf(322,plain,
! [SV6: $i,SV3: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV9 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SV9 ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(323,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_SY19 @ SV5 @ SV2 ) @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK1_SY19 @ SV5 @ SV2 ) ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(324,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ SV8 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SV8 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(325,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK2_SY21 @ SV6 @ SV3 ) @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ ( sK2_SY21 @ SV6 @ SV3 ) ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(326,plain,
! [SV6: $i,SV3: $i,SV9: $i] :
( ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ SV9 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SV9 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(327,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK1_SY19 @ SV5 @ SV2 ) @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK1_SY19 @ SV5 @ SV2 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(328,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV8 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV5 @ SV8 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(329,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK2_SY21 @ SV6 @ SV3 ) @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ ( sK2_SY21 @ SV6 @ SV3 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(330,plain,
! [SV6: $i,SV3: $i,SV9: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV9 @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SV9 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(331,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK1_SY19 @ SV5 @ SV2 ) @ SV2 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(332,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK1_SY19 @ SV5 @ SV2 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(333,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV8 @ SV2 ) )
= $true )
| ( ( ~ ( parent_THFTYPE_IiioI @ SV5 @ SV8 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(334,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK2_SY21 @ SV6 @ SV3 ) @ SV3 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(335,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV6 @ ( sK2_SY21 @ SV6 @ SV3 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(336,plain,
! [SV6: $i,SV3: $i,SV9: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV9 @ SV3 ) )
= $true )
| ( ( ~ ( parent_THFTYPE_IiioI @ SV6 @ SV9 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(337,plain,
! [SV2: $i,SV5: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK1_SY19 @ SV5 @ SV2 ) @ SV2 )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(338,plain,
! [SV2: $i,SV5: $i] :
( ( ( parent_THFTYPE_IiioI @ SV5 @ ( sK1_SY19 @ SV5 @ SV2 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(339,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( parent_THFTYPE_IiioI @ SV8 @ SV2 )
= $false )
| ( ( ~ ( parent_THFTYPE_IiioI @ SV5 @ SV8 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(340,plain,
! [SV3: $i,SV6: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK2_SY21 @ SV6 @ SV3 ) @ SV3 )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(341,plain,
! [SV3: $i,SV6: $i] :
( ( ( parent_THFTYPE_IiioI @ SV6 @ ( sK2_SY21 @ SV6 @ SV3 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(342,plain,
! [SV6: $i,SV3: $i,SV9: $i] :
( ( ( parent_THFTYPE_IiioI @ SV9 @ SV3 )
= $false )
| ( ( ~ ( parent_THFTYPE_IiioI @ SV6 @ SV9 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(343,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ( parent_THFTYPE_IiioI @ SV5 @ SV8 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV8 @ SV2 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(344,plain,
! [SV3: $i,SV9: $i,SV6: $i] :
( ( ( parent_THFTYPE_IiioI @ SV6 @ SV9 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV9 @ SV3 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(345,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[266,344,343,341,340,338,337,314,313,312,293,267]) ).
thf(346,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR150^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n017.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 18:51:31 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.30 .
% 0.56/0.30
% 0.56/0.30 No.of.Axioms: 5
% 0.56/0.30
% 0.56/0.30 Length.of.Defs: 0
% 0.56/0.30
% 0.56/0.30 Contains.Choice.Funs: true
% 0.56/0.30 ...
% 0.56/0.30
% 0.56/0.30 ********************************
% 0.56/0.30 * All subproblems solved! *
% 0.56/0.30 ********************************
% 0.56/0.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,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:345,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.56/0.30
% 0.56/0.30 %**** Beginning of derivation protocol ****
% 0.56/0.30 % SZS output start CNFRefutation
% See solution above
% 0.56/0.30
% 0.56/0.30 %**** End of derivation protocol ****
% 0.56/0.30 %**** no. of clauses in derivation: 96 ****
% 0.56/0.30 %**** clause counter: 345 ****
% 0.56/0.30
% 0.56/0.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,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:345,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------