%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR151^2 : 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 : n020.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 10:16:18 AM UTC 2026
% Result : Theorem 0.82s 0.37s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 122 ( 18 ~; 5 |; 8 &; 91 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 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(163,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_026) ).
thf(190,conjecture,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(191,negated_conjecture,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[190]) ).
thf(192,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(unfold_def,[status(thm)],[191]) ).
thf(193,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)],[163]) ).
thf(197,plain,
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[192]) ).
thf(201,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)],[193]) ).
thf(202,plain,
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(204,plain,
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(205,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)],[201]) ).
thf(209,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(293,plain,
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ 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)],[209,205]) ).
thf(294,plain,
$false = $true,
inference(extuni,[status(esa)],[293]) ).
thf(295,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR151^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.19 % Computer : n020.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Oct 6 18:56:51 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.82/0.37
% 0.82/0.37 No.of.Axioms: 4
% 0.82/0.37
% 0.82/0.37 Length.of.Defs: 0
% 0.82/0.37
% 0.82/0.37 Contains.Choice.Funs: false
% 0.82/0.37 ...
% 0.82/0.37
% 0.82/0.37 ********************************
% 0.82/0.37 * All subproblems solved! *
% 0.82/0.37 ********************************
% 0.82/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,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:294,loop_count:3,foatp_calls:2,translation:fof_full)
% 0.82/0.37
% 0.82/0.37 %**** Beginning of derivation protocol ****
% 0.82/0.37 % SZS output start CNFRefutation
% See solution above
% 0.82/0.37
% 0.82/0.37 %**** End of derivation protocol ****
% 0.82/0.37 %**** no. of clauses in derivation: 14 ****
% 0.82/0.37 %**** clause counter: 294 ****
% 0.82/0.37
% 0.82/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,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:294,loop_count:3,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------