%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR152^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 157 ( 49 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 163 ( 10 ~; 18 |; 0 &; 132 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 26 con; 0-3 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% 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_domain_THFTYPE_IIiioIiioI,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiooIiioI,type,
domain_THFTYPE_IIiooIiioI: ( $i > $o > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IiiioI,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_equal_THFTYPE_i,type,
equal_THFTYPE_i: $i ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_instance_THFTYPE_IIIiioIIiioIoIioI,type,
instance_THFTYPE_IIIiioIIiioIoIioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $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_knows_THFTYPE_IiooI,type,
knows_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_lAgent_THFTYPE_i,type,
lAgent_THFTYPE_i: $i ).
thf(tp_lAsymmetricRelation_THFTYPE_i,type,
lAsymmetricRelation_THFTYPE_i: $i ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lBinaryPredicate_THFTYPE_i,type,
lBinaryPredicate_THFTYPE_i: $i ).
thf(tp_lChris_THFTYPE_i,type,
lChris_THFTYPE_i: $i ).
thf(tp_lCognitiveAgent_THFTYPE_i,type,
lCognitiveAgent_THFTYPE_i: $i ).
thf(tp_lFormula_THFTYPE_i,type,
lFormula_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_lMary_THFTYPE_i,type,
lMary_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_lSelfConnectedObject_THFTYPE_i,type,
lSelfConnectedObject_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_member_THFTYPE_IiioI,type,
member_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_n1_THFTYPE_i,type,
n1_THFTYPE_i: $i ).
thf(tp_n2_THFTYPE_i,type,
n2_THFTYPE_i: $i ).
thf(tp_part_THFTYPE_i,type,
part_THFTYPE_i: $i ).
thf(tp_patient_THFTYPE_i,type,
patient_THFTYPE_i: $i ).
thf(tp_range_THFTYPE_IiioI,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_relatedInternalConcept_THFTYPE_IIiioIIiioIoI,type,
relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_sK1_E,type,
sK1_E: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_subclass_THFTYPE_IiioI,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subrelation_THFTYPE_IIiioIioI,type,
subrelation_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(tp_subrelation_THFTYPE_IIioIIioIoI,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(tp_subrelation_THFTYPE_IiioI,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(30,axiom,
( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [X: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_018) ).
thf(33,axiom,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_015) ).
thf(42,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(49,conjecture,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(50,negated_conjecture,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(negate_conjecture,[status(cth)],[49]) ).
thf(51,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(unfold_def,[status(thm)],[50]) ).
thf(52,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [X: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(55,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(57,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(58,plain,
( ( ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[51]) ).
thf(59,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(61,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(64,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [X: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(65,plain,
( ( ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(66,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(68,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
( ( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) ) )
= $false ),
inference(res,[status(thm)],[68,66]) ).
thf(70,plain,
( ( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[68,61]) ).
thf(73,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[70]) ).
thf(74,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[69]) ).
thf(75,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69]) ).
thf(76,plain,
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ sK2_SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ sK2_SX0 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(77,plain,
! [SV1: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV1 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV1 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(78,plain,
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ sK2_SX0 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(79,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ sK2_SX0 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(80,plain,
! [SV1: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV1 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV1 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(81,plain,
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ sK2_SX0 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(82,plain,
! [SV1: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV1 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV1 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(83,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ),
inference(sim,[status(thm)],[73]) ).
thf(86,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(res,[status(thm)],[83,59]) ).
thf(87,plain,
( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ),
inference(extuni,[status(esa)],[86]) ).
thf(91,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[59,87,83,82,81,79,68,66,61]) ).
thf(92,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR152^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 18:58:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.26
% 0.09/0.26 No.of.Axioms: 6
% 0.09/0.26
% 0.09/0.26 Length.of.Defs: 0
% 0.09/0.26
% 0.09/0.26 Contains.Choice.Funs: false
% 0.09/0.26 .
% 0.09/0.26
% 0.09/0.26 ********************************
% 0.09/0.26 * All subproblems solved! *
% 0.09/0.26 ********************************
% 0.09/0.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:6,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:91,loop_count:10,foatp_calls:3,translation:fof_full)
% 0.09/0.26
% 0.09/0.26 %**** Beginning of derivation protocol ****
% 0.09/0.26 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26
% 0.09/0.26 %**** End of derivation protocol ****
% 0.09/0.26 %**** no. of clauses in derivation: 33 ****
% 0.09/0.26 %**** clause counter: 91 ****
% 0.09/0.26
% 0.09/0.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:6,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:91,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------