%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR138^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 Sep 30 07:47:07 AM UTC 2026
% Result : Theorem 0.55s 0.37s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 88 ( 18 unt; 0 typ; 6 def)
% Number of atoms : 479 ( 177 equ; 8 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 397 ( 147 ~; 124 |; 12 &; 108 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 64 ( 64 >; 0 *; 0 +; 0 <<)
% Number of symbols : 91 ( 87 usr; 14 con; 0-4 aty)
% Number of variables : 248 ( 111 sgn 82 !; 18 ?; 248 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
agent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_2,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_3,type,
contraryAttribute_THFTYPE_IioI: $i > $o ).
thf(func_def_4,type,
disjointDecomposition_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_5,type,
disjointDecomposition_THFTYPE_IioI: $i > $o ).
thf(func_def_6,type,
disjointRelation_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $o ).
thf(func_def_7,type,
disjointRelation_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_8,type,
disjoint_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_10,type,
domainSubclass_THFTYPE_IIioIiioI: ( $i > $o ) > $i > $i > $o ).
thf(func_def_11,type,
domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_12,type,
domain_THFTYPE_IIIioIiioIiioI: ( ( $i > $o ) > $i > $i > $o ) > $i > $i > $o ).
thf(func_def_13,type,
domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).
thf(func_def_14,type,
domain_THFTYPE_IIiiiIiioI: ( $i > $i > $i ) > $i > $i > $o ).
thf(func_def_15,type,
domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $i > $i > $o ).
thf(func_def_16,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_17,type,
domain_THFTYPE_IIioIiioI: ( $i > $o ) > $i > $i > $o ).
thf(func_def_18,type,
domain_THFTYPE_IIiooIiioI: ( $i > $o > $o ) > $i > $i > $o ).
thf(func_def_19,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_21,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_22,type,
inList_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_23,type,
instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).
thf(func_def_24,type,
instance_THFTYPE_IIIioIiioIioI: ( ( $i > $o ) > $i > $i > $o ) > $i > $o ).
thf(func_def_25,type,
instance_THFTYPE_IIiIiioIoIioI: ( $i > ( $i > $i > $o ) > $o ) > $i > $o ).
thf(func_def_26,type,
instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).
thf(func_def_27,type,
instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).
thf(func_def_28,type,
instance_THFTYPE_IIiiioIioI: ( $i > $i > $i > $o ) > $i > $o ).
thf(func_def_29,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(func_def_30,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(func_def_31,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_32,type,
instrument_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_33,type,
knows_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_38,type,
lBeginFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_47,type,
lEndFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_57,type,
lListFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_59,type,
lListOrderFn_THFTYPE_IiiiI: $i > $i > $i ).
thf(func_def_80,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_82,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_83,type,
located_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_84,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_85,type,
member_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_90,type,
orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_91,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_92,type,
part_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_95,type,
property_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_96,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_98,type,
relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_99,type,
relatedInternalConcept_THFTYPE_IIioIIiioIoI: ( $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_100,type,
relatedInternalConcept_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $o ).
thf(func_def_101,type,
relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_103,type,
subAttribute_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_104,type,
subProcess_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_105,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_106,type,
subrelation_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_107,type,
subrelation_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(func_def_108,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_109,type,
subrelation_THFTYPE_IIoooIIiioIoI: ( $o > $o > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_110,type,
subrelation_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $o ).
thf(func_def_111,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_112,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_113,type,
truth_THFTYPE_IoooI: $o > $o > $o ).
thf(func_def_115,type,
vNOT: $o > $o ).
thf(func_def_118,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_119,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_120,type,
vAND: $o > $o > $o ).
thf(func_def_121,type,
sK0: $i > $i ).
thf(func_def_122,type,
sK1: $i > $i > $i ).
thf(func_def_123,type,
sK2: $i > $i ).
thf(func_def_129,type,
sK8: $i > $i > $i ).
thf(func_def_130,type,
sK9: $i > $i ).
thf(func_def_135,type,
sK14: $i > $i > $i ).
thf(func_def_136,type,
sK15: ( $i > $i > $o ) > $i ).
thf(func_def_137,type,
sK16: $i > $i ).
thf(func_def_138,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_139,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
db2:
!>[X0: $tType] : X0 ).
thf(f2,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(f30,axiom,
? [X1: $i,X0: $i] :
~ ( parent_THFTYPE_IiioI @ X0 @ X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_029) ).
thf(f215,conjecture,
? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( ( ^ [X3: $i,X4: $i] : $true )
!= X1 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i )
& ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f216,negated_conjecture,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( ( ^ [X3: $i,X4: $i] : $true )
!= X1 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i )
& ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) ) ),
inference(negated_conjecture,[status(cth)],[f215]) ).
thf(f237,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(rectify,[],[f2]) ).
thf(f238,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f237]) ).
thf(f311,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( ( ^ [X3: $i,X4: $i] : $true )
!= X1 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i )
& ( X0
!= ( ^ [X5: $i,X6: $i] : $true ) ) ),
inference(rectify,[],[f216]) ).
thf(f312,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
= $true )
& ( $true
= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
& ( ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X1 )
= $true )
& ( ( X1 @ X2 @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f311]) ).
thf(f443,plain,
? [X0: $i,X1: $i] :
~ ( parent_THFTYPE_IiioI @ X1 @ X0 ),
inference(rectify,[],[f30]) ).
thf(f444,plain,
? [X0: $i,X1: $i] :
( $true
= ( ~ ( parent_THFTYPE_IiioI @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f443]) ).
thf(f689,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true )
| ( ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X1 )
!= $true )
| ( $true
!= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f312]) ).
thf(f753,plain,
( $true
= ( ~ ( parent_THFTYPE_IiioI @ sK11 @ sK10 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f444]) ).
thf(f806,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f238]) ).
thf(f924,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true )
| ( $true
!= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X1 )
!= $true ) ),
inference(cnf_transformation,[],[f689]) ).
thf(f928,plain,
( $true
= ( ~ ( parent_THFTYPE_IiioI @ sK11 @ sK10 ) ) ),
inference(cnf_transformation,[],[f753]) ).
thf(f1001,plain,
( ( parent_THFTYPE_IiioI @ sK11 @ sK10 )
= $false ),
inference(not_proxy_clausification,[],[f928]) ).
thf(f1027,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true )
| ( ( X0
= ( ^ [Y0: $i,Y1: $i] : $true ) )
= $true )
| ( ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X1 )
!= $true )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f924]) ).
thf(f1028,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X1 )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f1027]) ).
thf(f1029,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true )
| ( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(not_proxy_clausification,[],[f1028]) ).
thf(f1030,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(equality_proxy_clausification,[],[f1029]) ).
thf(f1033,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X2
@ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(primitive_instantiation,[],[f1030]) ).
thf(f1034,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ lBill_THFTYPE_i )
!= $true ) ),
inference(primitive_instantiation,[],[f1030]) ).
thf(f1039,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( X2 != lBill_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) ),
inference(beta-eta_normalization,[],[f1034]) ).
thf(f1040,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X2 = lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) ),
inference(not_proxy_clausification,[],[f1039]) ).
thf(f1041,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( lBill_THFTYPE_i = X2 ) ),
inference(equality_proxy_clausification,[],[f1040]) ).
thf(f1045,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) )
| ( $true
!= ( X2 = lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f1033]) ).
thf(f1046,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( lBill_THFTYPE_i != X2 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(equality_proxy_clausification,[],[f1045]) ).
thf(f1048,definition,
( spl17_1
<=> ! [X2: $i,X0: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( lBill_THFTYPE_i = X2 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
thf(f1049,plain,
( ! [X2: $i,X0: $i > $i > $o] :
( ( lBill_THFTYPE_i = X2 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) )
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f1048]) ).
thf(f1051,definition,
( spl17_2
<=> ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
thf(f1052,plain,
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f1051]) ).
thf(f1053,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f1041,f1051,f1048]) ).
thf(f1055,definition,
( spl17_3
<=> ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) ) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
thf(f1056,plain,
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) )
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f1055]) ).
thf(f1058,definition,
( spl17_4
<=> ! [X2: $i,X0: $i > $i > $o] :
( ( lBill_THFTYPE_i != X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
thf(f1059,plain,
( ! [X2: $i,X0: $i > $i > $o] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( lBill_THFTYPE_i != X2 ) )
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f1058]) ).
thf(f1060,plain,
( spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f1046,f1058,f1055]) ).
thf(f1066,plain,
( ! [X1: $i] :
( ( (=) @ X1 )
= ( ^ [Y0: $i,Y1: $i] : $true
@ X1 ) )
| ~ spl17_3 ),
inference(argument_congruence,[],[f1056]) ).
thf(f1067,plain,
( ! [X1: $i] :
( ( (=) @ X1 )
= ( ^ [Y0: $i] : $true ) )
| ~ spl17_3 ),
inference(beta-eta_normalization,[],[f1066]) ).
thf(f1084,plain,
( ! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : $true
@ X2 )
= ( X1 = X2 ) )
| ~ spl17_3 ),
inference(argument_congruence,[],[f1067]) ).
thf(f1088,plain,
( ! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] : $true
@ X2 )
= $false )
| ( $true
= ( X1 = X2 ) ) )
| ~ spl17_3 ),
inference(iff_proxy_clausification,[],[f1084]) ).
thf(f1089,plain,
( ! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( ( ^ [Y0: $i] : $true
@ X2 )
= $false ) )
| ~ spl17_3 ),
inference(equality_proxy_clausification,[],[f1088]) ).
thf(f1090,plain,
( ! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( $true = $false ) )
| ~ spl17_3 ),
inference(beta-eta_normalization,[],[f1089]) ).
thf(f1091,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl17_3 ),
inference(trivial_inequality_removal,[],[f1090]) ).
thf(f1136,plain,
( ! [X0: $i] :
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0 )
= $true )
| ~ spl17_3 ),
inference(constrained_superposition,[],[f806,f1091]) ).
thf(f1181,plain,
( ! [X0: $i,X1: $i] :
( ( parent_THFTYPE_IiioI @ X0 @ X1 )
= $true )
| ~ spl17_3 ),
inference(constrained_superposition,[],[f1136,f1091]) ).
thf(f1196,plain,
( ( $true = $false )
| ~ spl17_3 ),
inference(backward_demodulation,[],[f1001,f1181]) ).
thf(f1201,plain,
( $false
| ~ spl17_3 ),
inference(trivial_inequality_removal,[],[f1196]) ).
thf(f1202,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f1201]) ).
thf(f1236,definition,
( spl17_10
<=> ! [X1: $i] : ( lAnna_THFTYPE_i = X1 ) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
thf(f1237,plain,
( ! [X1: $i] : ( lAnna_THFTYPE_i = X1 )
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f1236]) ).
thf(f1258,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X1 )
= ( ^ [Y0: $i,Y1: $i] : $true
@ X1 ) )
| ~ spl17_2 ),
inference(argument_congruence,[],[f1052]) ).
thf(f1259,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : ( X1 != Y0 ) ) )
| ~ spl17_2 ),
inference(beta-eta_normalization,[],[f1258]) ).
thf(f1278,plain,
( ! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : ( X1 != Y0 )
@ X2 )
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ~ spl17_2 ),
inference(argument_congruence,[],[f1259]) ).
thf(f1279,plain,
( ! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] : $true
@ X2 )
= $false )
| ( ( ^ [Y0: $i] : ( X1 != Y0 )
@ X2 )
= $true ) )
| ~ spl17_2 ),
inference(iff_proxy_clausification,[],[f1278]) ).
thf(f1284,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( X1 != X2 ) )
| ( $true = $false ) )
| ~ spl17_2 ),
inference(beta-eta_normalization,[],[f1279]) ).
thf(f1285,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( X1 = X2 ) )
| ( $true = $false ) )
| ~ spl17_2 ),
inference(not_proxy_clausification,[],[f1284]) ).
thf(f1286,plain,
( ! [X2: $i,X1: $i] :
( ( X1 != X2 )
| ( $true = $false ) )
| ~ spl17_2 ),
inference(equality_proxy_clausification,[],[f1285]) ).
thf(f1287,plain,
( ! [X2: $i,X1: $i] : ( X1 != X2 )
| ~ spl17_2 ),
inference(trivial_inequality_removal,[],[f1286]) ).
thf(f1288,plain,
( $false
| ~ spl17_2 ),
inference(flex-flex_simplification,[],[f1287]) ).
thf(f1289,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f1288]) ).
thf(f1290,plain,
( ! [X2: $i,X0: $i > $i > $o] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f1049,f1059]) ).
thf(f1302,plain,
( ! [X2: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X2
@ lAnna_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(primitive_instantiation,[],[f1290]) ).
thf(f1303,plain,
( ! [X2: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ lAnna_THFTYPE_i ) ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(primitive_instantiation,[],[f1290]) ).
thf(f1309,plain,
( ! [X2: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) )
| ( $true
!= ( X2 = lAnna_THFTYPE_i ) ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(beta-eta_normalization,[],[f1302]) ).
thf(f1310,plain,
( ! [X2: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) )
| ( lAnna_THFTYPE_i != X2 ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(equality_proxy_clausification,[],[f1309]) ).
thf(f1311,plain,
( ! [X2: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X2 != lAnna_THFTYPE_i )
!= $true ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(beta-eta_normalization,[],[f1303]) ).
thf(f1312,plain,
( ! [X2: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( $true
= ( X2 = lAnna_THFTYPE_i ) ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(not_proxy_clausification,[],[f1311]) ).
thf(f1313,plain,
( ! [X2: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(equality_proxy_clausification,[],[f1312]) ).
thf(f1317,definition,
( spl17_15
<=> ! [X2: $i] : ( lAnna_THFTYPE_i != X2 ) ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
thf(f1318,plain,
( ! [X2: $i] : ( lAnna_THFTYPE_i != X2 )
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f1317]) ).
thf(f1319,plain,
( spl17_3
| spl17_15
| ~ spl17_1
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f1310,f1058,f1048,f1317,f1055]) ).
thf(f1320,plain,
( spl17_2
| spl17_10
| ~ spl17_1
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f1313,f1058,f1048,f1236,f1051]) ).
thf(f1321,plain,
( $false
| ~ spl17_10
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f1318,f1237]) ).
thf(f1322,plain,
( ~ spl17_10
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f1321]) ).
cnf(s1,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s2,plain,
( spl17_3
| spl17_4 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s9,plain,
~ spl17_3,
inference(sat_conversion,[],[f1202]) ).
cnf(s15,plain,
~ spl17_2,
inference(sat_conversion,[],[f1289]) ).
cnf(s18,plain,
( ~ spl17_1
| spl17_3
| ~ spl17_4
| spl17_15 ),
inference(sat_conversion,[],[f1319]) ).
cnf(s19,plain,
( ~ spl17_1
| spl17_2
| ~ spl17_4
| spl17_10 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s20,plain,
( ~ spl17_10
| ~ spl17_15 ),
inference(sat_conversion,[],[f1322]) ).
cnf(s24,plain,
spl17_4,
inference(rat,[],[s2,s9]) ).
cnf(s27,plain,
spl17_1,
inference(rat,[],[s1,s15]) ).
cnf(s28,plain,
spl17_10,
inference(rat,[],[s19,s24,s15,s27]) ).
cnf(s29,plain,
spl17_15,
inference(rat,[],[s18,s24,s9,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s20,s29,s28]) ).
thf(f1323,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR138^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n018.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 17:58:27 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.22/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.37 % (426335)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.55/0.37 % (426344)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=384610233:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.55/0.37 % (426346)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.55/0.37 % (426346)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.55/0.37 % (426344)Instruction limit reached!
% 0.55/0.37 % (426344)------------------------------
% 0.55/0.37 % (426344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426344)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426344)Termination reason: Instruction limit
% 0.55/0.37 % (426344)Termination phase: Property scanning
% 0.55/0.37 % (426344)Time elapsed: 0.006 s
% 0.55/0.37 % (426344)Peak memory usage: 11 MB
% 0.55/0.37 % (426344)Instructions burned: 25 (million)
% 0.55/0.37 % (426342)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3195076301:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.55/0.37 % (426340)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=159790667:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.55/0.37 % (426341)lrs+10_16_si=on:nwc=1.5:random_seed=1022928348:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.55/0.37 % (426343)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1874300763:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.55/0.37 % (426346)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4166911388:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.55/0.37 % (426345)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1694815519:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.55/0.37 % (426342)Instruction limit reached!
% 0.55/0.37 % (426342)------------------------------
% 0.55/0.37 % (426342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426342)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426342)Termination reason: Instruction limit
% 0.55/0.37 % (426342)Termination phase: shuffling
% 0.55/0.37 % (426342)Time elapsed: 0.002 s
% 0.55/0.37 % (426342)Peak memory usage: 10 MB
% 0.55/0.37 % (426342)Instructions burned: 3 (million)
% 0.55/0.37 % (426341)Instruction limit reached!
% 0.55/0.37 % (426341)------------------------------
% 0.55/0.37 % (426341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426341)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426341)Termination reason: Instruction limit
% 0.55/0.37 % (426341)Termination phase: Property scanning
% 0.55/0.37 % (426341)Time elapsed: 0.008 s
% 0.55/0.37 % (426341)Peak memory usage: 10 MB
% 0.55/0.37 % (426341)Instructions burned: 19 (million)
% 0.55/0.37 % (426348)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1914384803:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.37 % (426348)Instruction limit reached!
% 0.55/0.37 % (426348)------------------------------
% 0.55/0.37 % (426348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426348)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426348)Termination reason: Instruction limit
% 0.55/0.37 % (426348)Termination phase: shuffling
% 0.55/0.37 % (426348)Time elapsed: 0.0000 s
% 0.55/0.37 % (426348)Peak memory usage: 10 MB
% 0.55/0.37 % (426348)Instructions burned: 2 (million)
% 0.55/0.37 % (426358)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2054616950:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.55/0.37 % (426355)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2897305470:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.55/0.37 % (426358)Instruction limit reached!
% 0.55/0.37 % (426358)------------------------------
% 0.55/0.37 % (426358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426358)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426358)Termination reason: Instruction limit
% 0.55/0.37 % (426358)Termination phase: Property scanning
% 0.55/0.37 % (426358)Time elapsed: 0.003 s
% 0.55/0.37 % (426358)Peak memory usage: 10 MB
% 0.55/0.37 % (426358)Instructions burned: 12 (million)
% 0.55/0.37 % (426357)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.37 % (426355)Instruction limit reached!
% 0.55/0.37 % (426355)------------------------------
% 0.55/0.37 % (426355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426355)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426355)Termination reason: Instruction limit
% 0.55/0.37 % (426355)Termination phase: shuffling
% 0.55/0.37 % (426355)Time elapsed: 0.003 s
% 0.55/0.37 % (426355)Peak memory usage: 10 MB
% 0.55/0.37 % (426355)Instructions burned: 7 (million)
% 0.55/0.37 % (426357)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3594132324:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.55/0.37 % (426361)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.55/0.37 % (426361)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.37 % (426357)Instruction limit reached!
% 0.55/0.37 % (426357)------------------------------
% 0.55/0.37 % (426357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426361)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=712530229:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.55/0.37 % (426357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426357)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426357)Termination reason: Instruction limit
% 0.55/0.37 % (426357)Termination phase: Property scanning
% 0.55/0.37 % (426357)Time elapsed: 0.007 s
% 0.55/0.37 % (426357)Peak memory usage: 10 MB
% 0.55/0.37 % (426357)Instructions burned: 15 (million)
% 0.55/0.37 % (426361)Instruction limit reached!
% 0.55/0.37 % (426361)------------------------------
% 0.55/0.37 % (426361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426361)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426361)Termination reason: Instruction limit
% 0.55/0.37 % (426361)Termination phase: Twee Goal Transformation
% 0.55/0.37 % (426361)Time elapsed: 0.007 s
% 0.55/0.37 % (426361)Peak memory usage: 10 MB
% 0.55/0.37 % (426361)Instructions burned: 32 (million)
% 0.55/0.37 % (426362)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3323128146:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.55/0.37 % (426340)Instruction limit reached!
% 0.55/0.37 % (426340)------------------------------
% 0.55/0.37 % (426340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426340)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426340)Termination reason: Instruction limit
% 0.55/0.37 % (426340)Termination phase: Saturation
% 0.55/0.37 % (426340)Time elapsed: 0.044 s
% 0.55/0.37 % (426340)Peak memory usage: 13 MB
% 0.55/0.37 % (426340)Instructions burned: 89 (million)
% 0.55/0.37 % (426366)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.55/0.37 % (426366)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3680250173:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.37 % (426345) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-426335-426345"...
% 0.55/0.37 % (426366)Instruction limit reached!
% 0.55/0.37 % (426366)------------------------------
% 0.55/0.37 % (426366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.37 % (426366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.37 % (426366)CaDiCaL version: 2.1.3
% 0.55/0.37 % (426366)Termination reason: Instruction limit
% 0.55/0.37 % (426366)Termination phase: shuffling
% 0.55/0.37 % (426366)Time elapsed: 0.001 s
% 0.55/0.37 % (426366)Peak memory usage: 10 MB
% 0.55/0.37 % (426366)Instructions burned: 6 (million)
% 0.55/0.37 % (426365)lrs+10_1_si=on:cs=on:random_seed=1101838332:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.55/0.37 % (426345)...printing done.
% 0.55/0.37 % (426345)Refutation found. Thanks to Tanya!
% 0.55/0.37 % SZS status Theorem for theBenchmark
% 0.55/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.38 % (426345)------------------------------
% 0.55/0.38 % (426345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.38 % (426345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.38 % (426345)CaDiCaL version: 2.1.3
% 0.55/0.38 % (426345)Termination reason: Refutation
% 0.55/0.38 % (426345)Time elapsed: 0.057 s
% 0.55/0.38 % (426345)Peak memory usage: 14 MB
% 0.55/0.38 % (426345)Instructions burned: 72 (million)
% 0.55/0.38 % (426335)Success in time 0.102 s
% 0.55/0.38 % Vampire exiting
%------------------------------------------------------------------------------