TSTP Solution File: CSR138^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : CSR138^2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 21:37:28 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 139
% Syntax : Number of formulae : 368 ( 61 unt; 123 typ; 0 def)
% Number of atoms : 2589 (1143 equ; 0 cnn)
% Maximal formula atoms : 6 ( 10 avg)
% Number of connectives : 2600 ( 242 ~; 846 |; 12 &;1500 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 949 ( 949 >; 0 *; 0 +; 0 <<)
% Number of symbols : 125 ( 122 usr; 64 con; 0-3 aty)
% Number of variables : 1270 ( 206 ^1036 !; 28 ?;1270 :)
% 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_believes_THFTYPE_IiooI,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_contraryAttribute_THFTYPE_IioI,type,
contraryAttribute_THFTYPE_IioI: $i > $o ).
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_IIioIiioI,type,
domainSubclass_THFTYPE_IIioIiioI: ( $i > $o ) > $i > $i > $o ).
thf(tp_domainSubclass_THFTYPE_IiiioI,type,
domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIIioIiioIiioI,type,
domain_THFTYPE_IIIioIiioIiioI: ( ( $i > $o ) > $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_IIioIiioI,type,
domain_THFTYPE_IIioIiioI: ( $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_equal_THFTYPE_i,type,
equal_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_IIIiioIiioIioI,type,
instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIIioIiioIioI,type,
instance_THFTYPE_IIIioIiioIioI: ( ( $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_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_instrument_THFTYPE_IiioI,type,
instrument_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_knows_THFTYPE_IiooI,type,
knows_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_lAgent_THFTYPE_i,type,
lAgent_THFTYPE_i: $i ).
thf(tp_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(tp_lAsymmetricRelation_THFTYPE_i,type,
lAsymmetricRelation_THFTYPE_i: $i ).
thf(tp_lAttribute_THFTYPE_i,type,
lAttribute_THFTYPE_i: $i ).
thf(tp_lBeginFn_THFTYPE_IiiI,type,
lBeginFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(tp_lBill_THFTYPE_i,type,
lBill_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_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(tp_lClass_THFTYPE_i,type,
lClass_THFTYPE_i: $i ).
thf(tp_lCognitiveAgent_THFTYPE_i,type,
lCognitiveAgent_THFTYPE_i: $i ).
thf(tp_lContentBearingObject_THFTYPE_i,type,
lContentBearingObject_THFTYPE_i: $i ).
thf(tp_lEndFn_THFTYPE_IiiI,type,
lEndFn_THFTYPE_IiiI: $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_lIntentionalProcess_THFTYPE_i,type,
lIntentionalProcess_THFTYPE_i: $i ).
thf(tp_lIrreflexiveRelation_THFTYPE_i,type,
lIrreflexiveRelation_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_lListFn_THFTYPE_i,type,
lListFn_THFTYPE_i: $i ).
thf(tp_lListOrderFn_THFTYPE_IiiiI,type,
lListOrderFn_THFTYPE_IiiiI: $i > $i > $i ).
thf(tp_lListOrderFn_THFTYPE_i,type,
lListOrderFn_THFTYPE_i: $i ).
thf(tp_lList_THFTYPE_i,type,
lList_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lMeasureFn_THFTYPE_i,type,
lMeasureFn_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_lOrganization_THFTYPE_i,type,
lOrganization_THFTYPE_i: $i ).
thf(tp_lProcess_THFTYPE_i,type,
lProcess_THFTYPE_i: $i ).
thf(tp_lRelation_THFTYPE_i,type,
lRelation_THFTYPE_i: $i ).
thf(tp_lSelfConnectedObject_THFTYPE_i,type,
lSelfConnectedObject_THFTYPE_i: $i ).
thf(tp_lSetOrClass_THFTYPE_i,type,
lSetOrClass_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_lSymbolicString_THFTYPE_i,type,
lSymbolicString_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_lTotalValuedRelation_THFTYPE_i,type,
lTotalValuedRelation_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_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_located_THFTYPE_IiioI,type,
located_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_meetsTemporally_THFTYPE_IiioI,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_member_THFTYPE_IiioI,type,
member_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_modalAttribute_THFTYPE_i,type,
modalAttribute_THFTYPE_i: $i ).
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_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_i,type,
partition_THFTYPE_i: $i ).
thf(tp_patient_THFTYPE_i,type,
patient_THFTYPE_i: $i ).
thf(tp_property_THFTYPE_IiioI,type,
property_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_X,type,
sK1_X: $i ).
thf(tp_sK2_SY15,type,
sK2_SY15: $i ).
thf(tp_sK3_X,type,
sK3_X: $i ).
thf(tp_sK4_SY16,type,
sK4_SY16: $i ).
thf(tp_sK5_X,type,
sK5_X: $i ).
thf(tp_sK6_SY17,type,
sK6_SY17: $i ).
thf(tp_sK7_X,type,
sK7_X: $i ).
thf(tp_sK8_SY18,type,
sK8_SY18: $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_IIoooIIiioIoI,type,
subrelation_THFTYPE_IIoooIIiioIoI: ( $o > $o > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_subrelation_THFTYPE_IiIiioIoI,type,
subrelation_THFTYPE_IiIiioIoI: $i > ( $i > $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_truth_THFTYPE_IoooI,type,
truth_THFTYPE_IoooI: $o > $o > $o ).
thf(129,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_085) ).
thf(141,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_073) ).
thf(142,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_072) ).
thf(154,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_060) ).
thf(163,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_051) ).
thf(164,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_050) ).
thf(179,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_035) ).
thf(180,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_034) ).
thf(185,axiom,
? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_029) ).
thf(187,axiom,
? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_027) ).
thf(208,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(209,axiom,
? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(210,axiom,
? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(213,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(214,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(215,conjecture,
? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(216,negated_conjecture,
( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[215]) ).
thf(217,plain,
( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[216]) ).
thf(218,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(219,plain,
( ( ? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(220,plain,
( ( ? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(221,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(222,plain,
( ( ? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(223,plain,
( ( ? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(224,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(225,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(226,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(227,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(228,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(229,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(230,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(231,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(232,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(233,plain,
( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[217]) ).
thf(234,plain,
( ( ! [Q: $i > $i > $o] :
( ! [R: $i > $i > $o] :
( ! [Y: $i] :
( ~ ( Q @ Y @ lAnna_THFTYPE_i )
| ~ ( R @ Y @ lBill_THFTYPE_i ) )
| ( R
= ( ^ [Z: $i,W: $i] : $true ) ) )
| ( Q
= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[233]) ).
thf(235,plain,
( ( ~ ( parent_THFTYPE_IiioI @ sK1_X @ sK2_SY15 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(236,plain,
( ( ~ ( parent_THFTYPE_IiioI @ sK3_X @ sK4_SY16 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(237,plain,
( ( ~ ( likes_THFTYPE_IiioI @ sK5_X @ sK6_SY17 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(238,plain,
( ( ~ ( likes_THFTYPE_IiioI @ sK7_X @ sK8_SY18 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[223]) ).
thf(239,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(240,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(241,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(242,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(243,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(244,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(245,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(246,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(247,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(248,plain,
( ( ~ ( likes_THFTYPE_IiioI @ sK7_X @ sK8_SY18 ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(249,plain,
( ( ~ ( likes_THFTYPE_IiioI @ sK5_X @ sK6_SY17 ) )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(250,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(251,plain,
( ( ~ ( parent_THFTYPE_IiioI @ sK3_X @ sK4_SY16 ) )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(252,plain,
( ( ~ ( parent_THFTYPE_IiioI @ sK1_X @ sK2_SY15 ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(253,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(254,plain,
( ( ! [Q: $i > $i > $o] :
( ! [R: $i > $i > $o] :
( ! [Y: $i] :
( ~ ( Q @ Y @ lAnna_THFTYPE_i )
| ~ ( R @ Y @ lBill_THFTYPE_i ) )
| ( R
= ( ^ [Z: $i,W: $i] : $true ) ) )
| ( Q
= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(255,plain,
( ( likes_THFTYPE_IiioI @ sK7_X @ sK8_SY18 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(256,plain,
( ( likes_THFTYPE_IiioI @ sK5_X @ sK6_SY17 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(257,plain,
( ( parent_THFTYPE_IiioI @ sK3_X @ sK4_SY16 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(258,plain,
( ( parent_THFTYPE_IiioI @ sK1_X @ sK2_SY15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(259,plain,
! [SV1: $i > $i > $o] :
( ( ! [SY19: $i > $i > $o] :
( ! [SY20: $i] :
( ~ ( SV1 @ SY20 @ lAnna_THFTYPE_i )
| ~ ( SY19 @ SY20 @ lBill_THFTYPE_i ) )
| ( SY19
= ( ^ [Z: $i,W: $i] : $true ) ) )
| ( SV1
= ( ^ [Z: $i,W: $i] : $true ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(260,plain,
! [SV1: $i > $i > $o] :
( ( ( ! [SY19: $i > $i > $o] :
( ! [SY20: $i] :
( ~ ( SV1 @ SY20 @ lAnna_THFTYPE_i )
| ~ ( SY19 @ SY20 @ lBill_THFTYPE_i ) )
| ( SY19
= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(261,plain,
! [SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SY25: $i] :
( ~ ( SV1 @ SY25 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SY25 @ lBill_THFTYPE_i ) )
| ( SV2
= ( ^ [Z: $i,W: $i] : $true ) ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(262,plain,
! [SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SY25: $i] :
( ~ ( SV1 @ SY25 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SY25 @ lBill_THFTYPE_i ) ) )
= $true )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(263,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(264,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(265,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(266,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(267,plain,
! [SV3: $i,SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( ! [SV4: $i] :
( ( SV2 @ SV4 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[266]) ).
thf(268,plain,
! [SV3: $i,SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[266]) ).
thf(269,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(270,plain,
! [SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV6: $i] :
( ( SV1 @ SV6 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[268]) ).
thf(271,plain,
! [SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[268]) ).
thf(272,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ! [SV7: $i] :
( ( SV2 @ SV5 @ SV7 )
= $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[269]) ).
thf(273,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[269]) ).
thf(274,plain,
! [SV3: $i,SV2: $i > $i > $o,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(275,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(276,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV10: $i] :
( ( SV1 @ SV10 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[273]) ).
thf(277,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[273]) ).
thf(278,plain,
! [SV3: $i,SV2: $i > $i > $o,SV8: $i,SV1: $i > $i > $o] :
( ( ( ! [SV11: $i] :
( ( SV1 @ SV8 @ SV11 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[274]) ).
thf(279,plain,
! [SV3: $i,SV2: $i > $i > $o,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[274]) ).
thf(280,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV5 @ SV9 )
| $true )
| ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[275]) ).
thf(281,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[275]) ).
thf(282,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(283,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 @ SV13 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(284,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV5 @ SV9 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(285,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV14: $i] :
( ( SV1 @ SV14 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[281]) ).
thf(286,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[281]) ).
thf(287,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV12: $i,SV1: $i > $i > $o] :
( ( ( ! [SV15: $i] :
( ( SV1 @ SV12 @ SV15 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(288,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(289,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV8 @ SV13 )
| $true )
| ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[283]) ).
thf(290,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 @ SV13 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[283]) ).
thf(291,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV9 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(292,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(293,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 @ SV17 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(294,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV8 @ SV13 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(295,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(296,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(297,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV16: $i,SV1: $i > $i > $o] :
( ( ( ! [SV18: $i] :
( ( SV1 @ SV16 @ SV18 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[292]) ).
thf(298,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[292]) ).
thf(299,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV12 @ SV17 )
| $true )
| ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[293]) ).
thf(300,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 @ SV17 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[293]) ).
thf(301,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 @ SV13 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(302,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(303,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(304,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 @ SV19 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(305,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV12 @ SV17 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(306,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(307,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(308,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV9 ) )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(309,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(310,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV9 ) )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(311,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(312,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV16 @ SV19 )
| $true )
| ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[304]) ).
thf(313,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 @ SV19 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[304]) ).
thf(314,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 @ SV17 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(315,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true )
= $false )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(316,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(317,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV9 )
= $true )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(318,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(319,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV9 )
= $true )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(320,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(321,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV16 @ SV19 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(322,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(323,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(324,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV8 @ SV13 ) )
= $false )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(325,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(326,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV8 @ SV13 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(327,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(328,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV20: $i] :
( ( SV1 @ SV20 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[317]) ).
thf(329,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[317]) ).
thf(330,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV21: $i] :
( ( SV1 @ SV21 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[318]) ).
thf(331,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[318]) ).
thf(332,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV22: $i] :
( ( SV1 @ SV22 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[319]) ).
thf(333,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[319]) ).
thf(334,plain,
! [SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV23: $i] :
( ( SV1 @ SV23 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[320]) ).
thf(335,plain,
! [SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[320]) ).
thf(336,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 @ SV19 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(337,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true )
= $false )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(338,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(339,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV8 @ SV13 )
= $true )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(340,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(341,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV8 @ SV13 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(342,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(343,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(344,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(345,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(346,plain,
! [SV3: $i,SV2: $i > $i > $o,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(347,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(348,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(349,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV12 @ SV17 ) )
= $false )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(350,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(351,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV12 @ SV17 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(352,plain,
! [SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(353,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV24: $i,SV1: $i > $i > $o] :
( ( ( ! [SV28: $i] :
( ( SV1 @ SV24 @ SV28 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[343]) ).
thf(354,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[343]) ).
thf(355,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV25: $i,SV1: $i > $i > $o] :
( ( ( ! [SV29: $i] :
( ( SV1 @ SV25 @ SV29 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[344]) ).
thf(356,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[344]) ).
thf(357,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV26: $i,SV1: $i > $i > $o] :
( ( ( ! [SV30: $i] :
( ( SV1 @ SV26 @ SV30 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(358,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(359,plain,
! [SV3: $i,SV2: $i > $i > $o,SV27: $i,SV1: $i > $i > $o] :
( ( ( ! [SV31: $i] :
( ( SV1 @ SV27 @ SV31 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[346]) ).
thf(360,plain,
! [SV3: $i,SV2: $i > $i > $o,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[346]) ).
thf(361,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true )
= $false )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(362,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(363,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV12 @ SV17 )
= $true )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(364,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(365,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV12 @ SV17 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(366,plain,
! [SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(367,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 @ SV32 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(368,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 @ SV33 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(369,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 @ SV34 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(370,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 @ SV35 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(371,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV16 @ SV19 ) )
= $false )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(372,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(373,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV16 @ SV19 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(374,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(375,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV24 @ SV32 )
| $true )
| ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[367]) ).
thf(376,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 @ SV32 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[367]) ).
thf(377,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV25 @ SV33 )
| $true )
| ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[368]) ).
thf(378,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 @ SV33 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[368]) ).
thf(379,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV26 @ SV34 )
| $true )
| ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[369]) ).
thf(380,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 @ SV34 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[369]) ).
thf(381,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV27 @ SV35 )
| $true )
| ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[370]) ).
thf(382,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 @ SV35 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[370]) ).
thf(383,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV16 @ SV19 )
= $true )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(384,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(385,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV16 @ SV19 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(386,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(387,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV24 @ SV32 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(388,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV25 @ SV33 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(389,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV26 @ SV34 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(390,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV27 @ SV35 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(391,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 @ SV32 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(392,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 @ SV33 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(393,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 @ SV34 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(394,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 @ SV35 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(395,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(396,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(397,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(398,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(399,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(400,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(401,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(402,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(403,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true )
= $false )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(404,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(405,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true )
= $false )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(406,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(407,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true )
= $false )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(408,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(409,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true )
= $false )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(410,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(411,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV24 @ SV32 ) )
= $false )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(412,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(413,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV24 @ SV32 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(414,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(415,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV25 @ SV33 ) )
= $false )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(416,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(417,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV25 @ SV33 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(418,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(419,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV34 ) )
= $false )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(420,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(421,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV34 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(422,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(423,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV27 @ SV35 ) )
= $false )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(424,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(425,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV27 @ SV35 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(426,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(427,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV24 @ SV32 )
= $true )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(428,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(429,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV24 @ SV32 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(430,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(431,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV25 @ SV33 )
= $true )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(432,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(433,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV25 @ SV33 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(434,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(435,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV26 @ SV34 )
= $true )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(436,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(437,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV26 @ SV34 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(438,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(439,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV27 @ SV35 )
= $true )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(440,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(441,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV27 @ SV35 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(442,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(443,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[239,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,386,385,384,383,382,380,378,376,366,365,364,363,360,358,356,354,342,341,340,339,335,333,331,329,313,300,298,290,288,286,279,277,271,258,257,256,255,253,250,247,246,245,244,243,242,241,240]) ).
thf(444,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CSR138^2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 10 18:48:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.37 ..
% 0.19/0.44
% 0.19/0.44 No.of.Axioms: 214
% 0.19/0.44
% 0.19/0.44 Length.of.Defs: 0
% 0.19/0.44
% 0.19/0.44 Contains.Choice.Funs: false
% 0.19/0.46 ......
% 0.19/0.47 (rf:2,axioms:15,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:216,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.19/0.54
% 0.19/0.54 ********************************
% 0.19/0.54 * All subproblems solved! *
% 0.19/0.54 ********************************
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:15,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:443,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.57
% 0.19/0.57 %**** Beginning of derivation protocol ****
% 0.19/0.57 % SZS output start CNFRefutation
% See solution above
% 0.19/0.57
% 0.19/0.57 %**** End of derivation protocol ****
% 0.19/0.57 %**** no. of clauses in derivation: 245 ****
% 0.19/0.57 %**** clause counter: 443 ****
% 0.19/0.57
% 0.19/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:15,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:443,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------