%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR138^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 07:47:18 AM UTC 2026
% Result : Theorem 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 76 ( 16 unt; 0 typ; 4 def)
% Number of atoms : 427 ( 161 equ; 9 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 351 ( 124 ~; 105 |; 12 &; 106 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 89 ( 85 usr; 12 con; 0-4 aty)
% Number of variables : 225 ( 105 sgn 75 !; 18 ?; 225 :)
% 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,
vAND: $o > $o > $o ).
thf(func_def_120,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_125,type,
sK4: $i > $i ).
thf(func_def_130,type,
sK9: $i > $i ).
thf(func_def_131,type,
sK10: $i > $i > $i ).
thf(func_def_133,type,
sK12: ( $i > $i > $o ) > $i ).
thf(func_def_134,type,
sK13: $i > $i > $i ).
thf(func_def_135,type,
sK14: $i > $i ).
thf(func_def_136,type,
sK15: $i > $i ).
thf(func_def_137,type,
sK16: $i > $i > $i ).
thf(func_def_138,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_139,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
db2:
!>[X0: $tType] : X0 ).
thf(f2,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(f28,axiom,
? [X0: $i,X1: $i] :
~ ( parent_THFTYPE_IiioI @ X0 @ X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_027) ).
thf(f215,conjecture,
? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X1
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f216,negated_conjecture,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X1
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f215]) ).
thf(f219,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(rectify,[],[f2]) ).
thf(f220,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f219]) ).
thf(f271,plain,
? [X0: $i,X1: $i] :
~ ( parent_THFTYPE_IiioI @ X0 @ X1 ),
inference(rectify,[],[f28]) ).
thf(f272,plain,
? [X0: $i,X1: $i] :
( ( ~ ( parent_THFTYPE_IiioI @ X0 @ X1 ) )
= $true ),
inference(fool_elimination,[],[f271]) ).
thf(f641,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X1
!= ( ^ [X5: $i,X6: $i] : $true ) )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f216]) ).
thf(f642,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( $true
= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
& ( $true
= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
& ( ( X0 @ X2 @ lAnna_THFTYPE_i )
= $true )
& ( ( X1 @ X2 @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f641]) ).
thf(f713,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( $true
!= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f642]) ).
thf(f719,plain,
( $true
= ( ~ ( parent_THFTYPE_IiioI @ sK5 @ sK6 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f272]) ).
thf(f735,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f220]) ).
thf(f763,plain,
( $true
= ( ~ ( parent_THFTYPE_IiioI @ sK5 @ sK6 ) ) ),
inference(cnf_transformation,[],[f719]) ).
thf(f955,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
!= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f713]) ).
thf(f966,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
= ( X0
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f955]) ).
thf(f967,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( $true
!= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f966]) ).
thf(f968,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( $true
= ( X1
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f967]) ).
thf(f969,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,[],[f968]) ).
thf(f990,plain,
( ( parent_THFTYPE_IiioI @ sK5 @ sK6 )
= $false ),
inference(not_proxy_clausification,[],[f763]) ).
thf(f1000,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X2
@ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(primitive_instantiation,[],[f969]) ).
thf(f1001,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(primitive_instantiation,[],[f969]) ).
thf(f1009,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( $true
!= ( X2 != lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(beta-eta_normalization,[],[f1001]) ).
thf(f1010,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( $true
= ( X2 = lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(not_proxy_clausification,[],[f1009]) ).
thf(f1011,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( lBill_THFTYPE_i = X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(equality_proxy_clausification,[],[f1010]) ).
thf(f1012,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( $true
!= ( X2 = lBill_THFTYPE_i ) )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(beta-eta_normalization,[],[f1000]) ).
thf(f1013,plain,
! [X2: $i,X0: $i > $i > $o] :
( ( lBill_THFTYPE_i != X2 )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(equality_proxy_clausification,[],[f1012]) ).
thf(f1015,definition,
( spl17_1
<=> ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
thf(f1017,plain,
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f1015]) ).
thf(f1019,definition,
( spl17_2
<=> ! [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_2])],[avatar_definition]) ).
thf(f1020,plain,
( ! [X2: $i,X0: $i > $i > $o] :
( ( lBill_THFTYPE_i = X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) )
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f1019]) ).
thf(f1021,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f1011,f1019,f1015]) ).
thf(f1023,definition,
( spl17_3
<=> ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
thf(f1024,plain,
( ( (=)
!= ( ^ [Y0: $i,Y1: $i] : $true ) )
| spl17_3 ),
inference(avatar_component_clause,[],[f1023]) ).
thf(f1025,plain,
( ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f1023]) ).
thf(f1027,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(f1028,plain,
( ! [X2: $i,X0: $i > $i > $o] :
( ( lBill_THFTYPE_i != X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) )
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f1027]) ).
thf(f1029,plain,
( spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f1013,f1027,f1023]) ).
thf(f1035,plain,
( ! [X1: $i] :
( ( (=) @ X1 )
= ( ^ [Y0: $i,Y1: $i] : $true
@ X1 ) )
| ~ spl17_3 ),
inference(argument_congruence,[],[f1025]) ).
thf(f1036,plain,
( ! [X1: $i] :
( ( (=) @ X1 )
= ( ^ [Y0: $i] : $true ) )
| ~ spl17_3 ),
inference(beta-eta_normalization,[],[f1035]) ).
thf(f1061,plain,
( ! [X2: $i,X1: $i] :
( ( X1 = X2 )
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ~ spl17_3 ),
inference(argument_congruence,[],[f1036]) ).
thf(f1062,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( X1 = X2 ) )
| ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) ) )
| ~ spl17_3 ),
inference(iff_proxy_clausification,[],[f1061]) ).
thf(f1066,plain,
( ! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) ) )
| ~ spl17_3 ),
inference(equality_proxy_clausification,[],[f1062]) ).
thf(f1067,plain,
( ! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( $true = $false ) )
| ~ spl17_3 ),
inference(beta-eta_normalization,[],[f1066]) ).
thf(f1068,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl17_3 ),
inference(trivial_inequality_removal,[],[f1067]) ).
thf(f1081,plain,
( ! [X0: $i] :
( $true
= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0 ) )
| ~ spl17_3 ),
inference(constrained_superposition,[],[f735,f1068]) ).
thf(f1085,plain,
( ! [X0: $i,X1: $i] :
( ( parent_THFTYPE_IiioI @ X0 @ X1 )
= $true )
| ~ spl17_3 ),
inference(constrained_superposition,[],[f1081,f1068]) ).
thf(f1087,plain,
( ( $true = $false )
| ~ spl17_3 ),
inference(backward_demodulation,[],[f990,f1085]) ).
thf(f1091,plain,
( $false
| ~ spl17_3 ),
inference(trivial_inequality_removal,[],[f1087]) ).
thf(f1092,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f1091]) ).
thf(f1094,plain,
( ! [X2: $i,X0: $i > $i > $o] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) )
| ~ spl17_2
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f1020,f1028]) ).
thf(f1105,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_2
| ~ spl17_4 ),
inference(primitive_instantiation,[],[f1094]) ).
thf(f1146,plain,
( ! [X2: $i] :
( ( $true
!= ( X2 = lAnna_THFTYPE_i ) )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ~ spl17_2
| ~ spl17_4 ),
inference(beta-eta_normalization,[],[f1105]) ).
thf(f1147,plain,
( ! [X2: $i] :
( ( lAnna_THFTYPE_i != X2 )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ~ spl17_2
| ~ spl17_4 ),
inference(equality_proxy_clausification,[],[f1146]) ).
thf(f1150,plain,
( ! [X2: $i] : ( lAnna_THFTYPE_i != X2 )
| ~ spl17_2
| spl17_3
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f1147,f1024]) ).
thf(f1164,plain,
( $false
| ~ spl17_2
| spl17_3
| ~ spl17_4 ),
inference(equality_resolution,[],[f1150]) ).
thf(f1165,plain,
( ~ spl17_2
| spl17_3
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
thf(f1329,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : $true
@ X1 )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X1 ) )
| ~ spl17_1 ),
inference(argument_congruence,[],[f1017]) ).
thf(f1330,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : ( X1 != Y0 ) ) )
| ~ spl17_1 ),
inference(beta-eta_normalization,[],[f1329]) ).
thf(f1337,plain,
( ! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : $true
@ X2 )
= ( ^ [Y0: $i] : ( X1 != Y0 )
@ X2 ) )
| ~ spl17_1 ),
inference(argument_congruence,[],[f1330]) ).
thf(f1339,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ( $true
= ( ^ [Y0: $i] : ( X1 != Y0 )
@ X2 ) ) )
| ~ spl17_1 ),
inference(iff_proxy_clausification,[],[f1337]) ).
thf(f1340,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( X1 != X2 ) ) )
| ~ spl17_1 ),
inference(beta-eta_normalization,[],[f1339]) ).
thf(f1341,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( X1 = X2 ) ) )
| ~ spl17_1 ),
inference(not_proxy_clausification,[],[f1340]) ).
thf(f1342,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( X1 != X2 ) )
| ~ spl17_1 ),
inference(equality_proxy_clausification,[],[f1341]) ).
thf(f1343,plain,
( ! [X2: $i,X1: $i] : ( X1 != X2 )
| ~ spl17_1 ),
inference(trivial_inequality_removal,[],[f1342]) ).
thf(f1344,plain,
( $false
| ~ spl17_1 ),
inference(flex-flex_simplification,[],[f1343]) ).
thf(f1345,plain,
~ spl17_1,
inference(avatar_contradiction_clause,[],[f1344]) ).
cnf(s1,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s2,plain,
( spl17_3
| spl17_4 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s5,plain,
~ spl17_3,
inference(sat_conversion,[],[f1092]) ).
cnf(s8,plain,
( ~ spl17_2
| spl17_3
| ~ spl17_4 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s9,plain,
~ spl17_1,
inference(sat_conversion,[],[f1345]) ).
cnf(s10,plain,
spl17_4,
inference(rat,[],[s2,s5]) ).
cnf(s11,plain,
~ spl17_2,
inference(rat,[],[s8,s5,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s11,s9]) ).
thf(f1349,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR138^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:55:54 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36 % (1093994)Will run a generic schedule for satisfiability detection.
% 0.20/0.36 % (1094015)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2619255232:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (1094014)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=410353002:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.36 % (1094016)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1296824422:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.36 % (1094009)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2963239826_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.36 % (1094011)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3563804466:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.36 % (1094012)dis+10_1_sil=32000:sp=arity:random_seed=248379460:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.36 % (1094010)% WARNING: option uhcvi not known.
% 0.20/0.36 % (1094010)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=386755258:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.36 % (1094014)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.36 % (1094010)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.36 % Exception at run slice level
% 0.20/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36 % (1094010)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.36 % (1094015)Instruction limit reached!
% 0.20/0.36 % (1094015)------------------------------
% 0.20/0.36 % (1094015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1094015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1094015)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1094015)Termination reason: Instruction limit
% 0.20/0.36 % (1094015)Termination phase: Saturation
% 0.20/0.36 % (1094015)Time elapsed: 0.052 s
% 0.20/0.36 % (1094015)Peak memory usage: 13 MB
% 0.20/0.36 % (1094015)Instructions burned: 131 (million)
% 0.20/0.36 % (1094037)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=592171694:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.36 % (1094045)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=858491976:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % Exception at run slice level
% 0.20/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36 % (1094012)Instruction limit reached!
% 0.20/0.36 % (1094012)------------------------------
% 0.20/0.36 % (1094012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1094012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1094012)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1094012)Termination reason: Instruction limit
% 0.20/0.36 % (1094012)Termination phase: Saturation
% 0.20/0.36 % (1094012)Time elapsed: 0.073 s
% 0.20/0.36 % (1094012)Peak memory usage: 12 MB
% 0.20/0.36 % (1094012)Instructions burned: 104 (million)
% 0.20/0.36 % (1094014)Instruction limit reached!
% 0.20/0.36 % (1094014)------------------------------
% 0.20/0.36 % (1094014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1094014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1094014)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1094014)Termination reason: Instruction limit
% 0.20/0.36 % (1094014)Termination phase: Saturation
% 0.20/0.36 % (1094014)Time elapsed: 0.078 s
% 0.20/0.36 % (1094014)Peak memory usage: 13 MB
% 0.20/0.36 % (1094014)Instructions burned: 117 (million)
% 0.20/0.36 % (1094045) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1093994-1094045"...
% 0.20/0.36 % (1094045)...printing done.
% 0.20/0.36 % (1094045)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Theorem for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.36 % (1094045)------------------------------
% 0.20/0.36 % (1094045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1094045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1094045)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1094045)Termination reason: Refutation
% 0.20/0.36 % (1094045)Time elapsed: 0.028 s
% 0.20/0.36 % (1094045)Peak memory usage: 14 MB
% 0.20/0.36 % (1094045)Instructions burned: 99 (million)
% 0.20/0.36 % (1093994)Success in time 0.133 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------