%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR120^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 10:16:03 AM UTC 2026
% Result : Theorem 0.09s 0.19s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 118 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 779 ( 194 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 973 ( 235 ~; 140 |; 3 &; 589 @)
% ( 0 <=>; 6 =>; 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 : 91 ( 88 usr; 50 con; 0-3 aty)
% Number of variables : 156 ( 0 ^; 151 !; 5 ?; 156 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_agent_THFTYPE_i,type,
agent_THFTYPE_i: $i ).
thf(tp_attribute_THFTYPE_i,type,
attribute_THFTYPE_i: $i ).
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_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_IIIiioIIiioIoIiioI,type,
domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiiIiioI,type,
domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiiioIiioI,type,
domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiioIiioI,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IiiioI,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_duration_THFTYPE_IiioI,type,
duration_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_equal_THFTYPE_i,type,
equal_THFTYPE_i: $i ).
thf(tp_greaterThan_THFTYPE_i,type,
greaterThan_THFTYPE_i: $i ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_instance_THFTYPE_IIIiioIiioIioI,type,
instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiiIioI,type,
instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiiiIioI,type,
instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiiioIioI,type,
instance_THFTYPE_IIiiioIioI: ( $i > $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiioIioI,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiooIioI,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IiioI,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_instrument_THFTYPE_i,type,
instrument_THFTYPE_i: $i ).
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_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_lCardinalityFn_THFTYPE_IiiI,type,
lCardinalityFn_THFTYPE_IiiI: $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_lEntity_THFTYPE_i,type,
lEntity_THFTYPE_i: $i ).
thf(tp_lInheritableRelation_THFTYPE_i,type,
lInheritableRelation_THFTYPE_i: $i ).
thf(tp_lInteger_THFTYPE_i,type,
lInteger_THFTYPE_i: $i ).
thf(tp_lIrreflexiveRelation_THFTYPE_i,type,
lIrreflexiveRelation_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_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_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_lSubtractionFn_THFTYPE_i,type,
lSubtractionFn_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_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_lTimeInterval_THFTYPE_i,type,
lTimeInterval_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_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lYearFn_THFTYPE_i,type,
lYearFn_THFTYPE_i: $i ).
thf(tp_lYear_THFTYPE_i,type,
lYear_THFTYPE_i: $i ).
thf(tp_lessThan_THFTYPE_i,type,
lessThan_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_minus_THFTYPE_IiiiI,type,
minus_THFTYPE_IiiiI: $i > $i > $i ).
thf(tp_n12_THFTYPE_i,type,
n12_THFTYPE_i: $i ).
thf(tp_n1_THFTYPE_i,type,
n1_THFTYPE_i: $i ).
thf(tp_n2009_THFTYPE_i,type,
n2009_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_part_THFTYPE_IiioI,type,
part_THFTYPE_IiioI: $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_relatedInternalConcept_THFTYPE_IIiioIIiioIoI,type,
relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_relatedInternalConcept_THFTYPE_IiIiiIoI,type,
relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $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_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_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(16,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_173) ).
thf(34,axiom,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_155) ).
thf(63,axiom,
relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_126) ).
thf(70,axiom,
domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_119) ).
thf(75,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_114) ).
thf(105,axiom,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_084) ).
thf(140,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_049) ).
thf(166,axiom,
! [SITUATION: $o,TIME2: $i,TIME1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
& ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
=> ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023) ).
thf(169,axiom,
! [TIME: $i,SITUATION: $o] :
( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
=> ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_020) ).
thf(190,conjecture,
? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(191,negated_conjecture,
( ( ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[190]) ).
thf(192,plain,
( ( ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $false ),
inference(unfold_def,[status(thm)],[191]) ).
thf(193,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(194,plain,
( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(195,plain,
( ( relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(196,plain,
( ( domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(197,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(198,plain,
( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(200,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(201,plain,
( ( ! [SITUATION: $o,TIME2: $i,TIME1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
& ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
=> ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(202,plain,
( ( ! [TIME: $i,SITUATION: $o] :
( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
=> ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(203,plain,
( ( ~ ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[192]) ).
thf(204,plain,
( ( ! [TIME: $i,SITUATION: $o] :
( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
=> ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
= $true ),
inference(copy,[status(thm)],[202]) ).
thf(205,plain,
( ( ! [SITUATION: $o,TIME2: $i,TIME1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
& ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
=> ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(206,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(208,plain,
( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(209,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(210,plain,
( ( domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(211,plain,
( ( relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(212,plain,
( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(213,plain,
( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(214,plain,
( ( ~ ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(215,plain,
( ( ~ ~ ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SX0 @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(216,plain,
( ( ! [SX0: $i,SX1: $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ SX1 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(217,plain,
( ( ! [SX0: $o,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SX2 @ SX0 )
| ~ ( temporalPart_THFTYPE_IiioI @ SX1 @ SX2 ) )
| ( holdsDuring_THFTYPE_IiooI @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(218,plain,
( ( ~ ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SX0 @ lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(219,plain,
! [SV1: $i] :
( ( ! [SY6: $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SY6 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SY6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(220,plain,
! [SV2: $o] :
( ( ! [SY7: $i,SY8: $i] :
( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY8 @ SV2 )
| ~ ( temporalPart_THFTYPE_IiioI @ SY7 @ SY8 ) )
| ( holdsDuring_THFTYPE_IiooI @ SY7 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[217]) ).
thf(221,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ $true )
| ~ ( temporalPart_THFTYPE_IiioI @ SX0 @ SX1 ) )
| ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[217]) ).
thf(222,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ $false )
| ~ ( temporalPart_THFTYPE_IiioI @ SX0 @ SX1 ) )
| ( holdsDuring_THFTYPE_IiooI @ SX0 @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[217]) ).
thf(223,plain,
( ( ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SX0 @ lBill_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(224,plain,
! [SV3: $o,SV1: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[219]) ).
thf(225,plain,
! [SV1: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[219]) ).
thf(226,plain,
! [SV1: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[219]) ).
thf(227,plain,
! [SV4: $i,SV2: $o] :
( ( ! [SY9: $i] :
( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY9 @ SV2 )
| ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SY9 ) )
| ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(228,plain,
! [SV5: $i] :
( ( ! [SY10: $i] :
( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY10 @ $true )
| ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SY10 ) )
| ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(229,plain,
! [SV6: $i] :
( ( ! [SY11: $i] :
( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY11 @ $false )
| ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SY11 ) )
| ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(230,plain,
! [SV7: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(231,plain,
! [SV3: $o,SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(232,plain,
! [SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(233,plain,
! [SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(234,plain,
! [SV4: $i,SV2: $o,SV8: $i] :
( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV2 )
| ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV8 ) )
| ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(235,plain,
! [SV5: $i,SV9: $i] :
( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
| ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV9 ) )
| ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(236,plain,
! [SV6: $i,SV10: $i] :
( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
| ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV10 ) )
| ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(237,plain,
! [SV7: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(238,plain,
! [SV3: $o,SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(239,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(240,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(241,plain,
! [SV4: $i,SV2: $o,SV8: $i] :
( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV2 )
| ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV8 ) ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(242,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
| ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV9 ) ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(243,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
| ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV10 ) ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(244,plain,
! [SV3: $o,SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(245,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(246,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(247,plain,
! [SV4: $i,SV2: $o,SV8: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV2 )
| ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV8 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(248,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
| ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV9 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(249,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
| ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV10 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(250,plain,
! [SV4: $i,SV2: $o,SV8: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV2 )
| ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV8 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(251,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
| ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV9 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(252,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
| ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV10 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(253,plain,
! [SV4: $i,SV2: $o,SV8: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV2 ) )
= $true )
| ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV8 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(254,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true ) )
= $true )
| ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV9 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(255,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false ) )
= $true )
| ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV10 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(256,plain,
! [SV4: $i,SV2: $o,SV8: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV2 )
= $false )
| ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV8 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(257,plain,
! [SV5: $i,SV9: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
= $false )
| ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV9 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(258,plain,
! [SV6: $i,SV10: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
= $false )
| ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV10 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(259,plain,
! [SV2: $o,SV8: $i,SV4: $i] :
( ( ( temporalPart_THFTYPE_IiioI @ SV4 @ SV8 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV2 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(260,plain,
! [SV9: $i,SV5: $i] :
( ( ( temporalPart_THFTYPE_IiioI @ SV5 @ SV9 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(261,plain,
! [SV10: $i,SV6: $i] :
( ( ( temporalPart_THFTYPE_IiioI @ SV6 @ SV10 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(262,plain,
! [SV3: $o,SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false )
| ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
= ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[244]) ).
thf(263,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false )
| ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
= ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
= $false ) ),
inference(fac_restr,[status(thm)],[245]) ).
thf(264,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false )
| ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
= ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
= $false ) ),
inference(fac_restr,[status(thm)],[246]) ).
thf(265,plain,
! [SV3: $o,SV1: $i] :
( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
| ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
| ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[262]) ).
thf(267,plain,
! [SV1: $i] :
( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
| ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
| ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[263]) ).
thf(269,plain,
! [SV1: $i] :
( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
| ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
| ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[264]) ).
thf(272,plain,
! [SV3: $o,SV1: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(274,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(276,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(278,plain,
! [SV3: $o,SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(280,plain,
! [SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(282,plain,
! [SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(284,plain,
! [SV3: $o,SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(286,plain,
! [SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(288,plain,
! [SV1: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
= $true )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(289,plain,
! [SV3: $o,SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(290,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(291,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
= $false )
| ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(292,plain,
! [SV3: $o,SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(293,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(294,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(303,plain,
! [SV3: $o,SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
= $false ) ),
inference(sim,[status(thm)],[292]) ).
thf(304,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
= $false ) ),
inference(sim,[status(thm)],[293]) ).
thf(305,plain,
! [SV1: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
= $false ) ),
inference(sim,[status(thm)],[294]) ).
thf(306,plain,
! [SV11: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i ) )
= $false ),
inference(rename,[status(thm)],[237]) ).
thf(313,plain,
! [SV11: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
= $false ),
inference(res,[status(thm)],[306,206]) ).
thf(314,plain,
! [SV11: $i] :
( ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $true )
| ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ) ),
inference(extuni,[status(esa)],[313]) ).
thf(315,plain,
! [SV11: $i] :
( ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ) ),
inference(extuni,[status(esa)],[313]) ).
thf(316,plain,
! [SV11: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(317,plain,
! [SV11: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(318,plain,
! [SV11: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(319,plain,
! [SV11: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(320,plain,
! [SV11: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(321,plain,
! [SV11: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(322,plain,
! [SV11: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(323,plain,
! [SV11: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(324,plain,
! [SV11: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV11 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(325,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[206,324,323,322,306,305,304,303,261,260,259,246,245,244,213,212,211,210,209,208]) ).
thf(326,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR120^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 18:54:46 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19
% 0.09/0.19 No.of.Axioms: 10
% 0.09/0.19
% 0.09/0.19 Length.of.Defs: 0
% 0.09/0.19
% 0.09/0.19 Contains.Choice.Funs: false
% 0.09/0.19 ....
% 0.09/0.19
% 0.09/0.19 ********************************
% 0.09/0.19 * All subproblems solved! *
% 0.09/0.19 ********************************
% 0.09/0.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:10,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:325,loop_count:10,foatp_calls:4,translation:fof_full)
% 0.09/0.19
% 0.09/0.19 %**** Beginning of derivation protocol ****
% 0.09/0.19 % SZS output start CNFRefutation
% See solution above
% 0.09/0.19
% 0.09/0.19 %**** End of derivation protocol ****
% 0.09/0.19 %**** no. of clauses in derivation: 118 ****
% 0.09/0.19 %**** clause counter: 325 ****
% 0.09/0.19
% 0.09/0.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:10,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:325,loop_count:10,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------