%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR137^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 0.09s 0.28s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 74 ( 14 unt; 0 typ; 5 def)
% Number of atoms : 434 ( 148 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 518 ( 118 ~; 115 |; 12 &; 241 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 29 usr; 12 con; 0-4 aty)
% ( 27 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 210 ( 0 sgn 152 !; 12 ?; 210 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_2,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_4,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_5,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(func_def_6,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(func_def_7,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_17,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_20,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_21,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_22,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_23,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_24,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(func_def_29,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_30,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_33,type,
sK0: $i > $i ).
thf(func_def_34,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f6,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(f27,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026) ).
thf(f45,conjecture,
? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ~ ! [X3: $i,X4: $i] : ( X0 @ X3 @ X4 )
& ~ ! [X3: $i,X4: $i] : ( X1 @ X3 @ X4 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f46,negated_conjecture,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ~ ! [X3: $i,X4: $i] : ( X0 @ X3 @ X4 )
& ~ ! [X3: $i,X4: $i] : ( X1 @ X3 @ X4 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
thf(f57,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(rectify,[],[f6]) ).
thf(f58,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f57]) ).
thf(f99,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(rectify,[],[f27]) ).
thf(f100,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f99]) ).
thf(f135,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ~ ! [X3: $i,X4: $i] : ( X0 @ X3 @ X4 )
& ~ ! [X5: $i,X6: $i] : ( X1 @ X5 @ X6 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f46]) ).
thf(f136,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
& ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
& ( ( X0 @ X2 @ lAnna_THFTYPE_i )
= $true )
& ( ( X1 @ X2 @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f135]) ).
thf(f155,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f136]) ).
thf(f162,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f58]) ).
thf(f183,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f100]) ).
thf(f201,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f155]) ).
thf(f204,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f201]) ).
thf(f205,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X3 ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f204]) ).
thf(f206,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X3 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f205]) ).
thf(f207,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X3 ) )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) )
@ X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f206]) ).
thf(f208,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X4: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X0 @ Y0 @ X3 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X1 @ Y0 @ X4 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f207]) ).
thf(f209,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X4: $i,X5: $i] :
( ( $true
= ( ^ [Y0: $i] : ( X0 @ Y0 @ X3 )
@ X5 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X1 @ Y0 @ X4 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f208]) ).
thf(f210,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( ^ [Y0: $i] : ( X0 @ Y0 @ X3 )
@ X5 ) )
| ( $true
= ( ^ [Y0: $i] : ( X1 @ Y0 @ X4 )
@ X6 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f209]) ).
thf(f211,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( $true
= ( X0 @ X5 @ X3 ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f212,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f183]) ).
thf(f224,plain,
! [X2: $i,X3: $i,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ lAnna_THFTYPE_i ) )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X5
@ X3 ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(primitive_instantiation,[],[f211]) ).
thf(f235,plain,
! [X2: $i,X3: $i,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( X2 != lAnna_THFTYPE_i ) )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( $true
= ( X5 != X3 ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f224]) ).
thf(f236,plain,
! [X2: $i,X3: $i,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( X2 = lAnna_THFTYPE_i ) )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( $true
= ( X5 != X3 ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f235]) ).
thf(f237,plain,
! [X2: $i,X3: $i,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( lAnna_THFTYPE_i = X2 )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( $true
= ( X5 != X3 ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f236]) ).
thf(f238,plain,
! [X2: $i,X3: $i,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( lAnna_THFTYPE_i = X2 )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( $false
= ( X5 = X3 ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f237]) ).
thf(f239,plain,
! [X2: $i,X3: $i,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( lAnna_THFTYPE_i = X2 )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( X3 != X5 )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f238]) ).
thf(f244,definition,
( spl1_1
<=> ! [X5: $i,X3: $i] : ( X3 != X5 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f245,plain,
( ! [X3: $i,X5: $i] : ( X3 != X5 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f244]) ).
thf(f247,definition,
( spl1_2
<=> ! [X4: $i,X6: $i,X2: $i,X1: $i > $i > $o] :
( ( lAnna_THFTYPE_i = X2 )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f248,plain,
( ! [X2: $i,X1: $i > $i > $o,X6: $i,X4: $i] :
( ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f247]) ).
thf(f249,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f239,f247,f244]) ).
thf(f251,definition,
( spl1_3
<=> ! [X5: $i,X3: $i] : ( X3 = X5 ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
thf(f252,plain,
( ! [X3: $i,X5: $i] : ( X3 = X5 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f251]) ).
thf(f270,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X2
@ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X6
@ X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(primitive_instantiation,[],[f248]) ).
thf(f271,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X6
@ X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(primitive_instantiation,[],[f248]) ).
thf(f288,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( $true
!= ( X2 != lBill_THFTYPE_i ) )
| ( $true
= ( X6 != X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f271]) ).
thf(f289,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( $true
= ( X2 = lBill_THFTYPE_i ) )
| ( $true
= ( X6 != X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f288]) ).
thf(f290,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( $true
= ( X6 != X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(equality_proxy_clausification,[],[f289]) ).
thf(f293,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( $true
!= ( X2 = lBill_THFTYPE_i ) )
| ( $true
= ( X6 = X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f270]) ).
thf(f294,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( lBill_THFTYPE_i != X2 )
| ( $true
= ( X6 = X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(equality_proxy_clausification,[],[f293]) ).
thf(f341,plain,
( ! [X0: $i] :
( $true
= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0 ) )
| ~ spl1_3 ),
inference(constrained_superposition,[],[f162,f252]) ).
thf(f403,plain,
( ! [X0: $i,X1: $i] :
( ( parent_THFTYPE_IiioI @ X0 @ X1 )
= $true )
| ~ spl1_3 ),
inference(constrained_superposition,[],[f341,f252]) ).
thf(f588,plain,
( ! [X0: $i] :
( $false
= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ X0 ) )
| ~ spl1_3 ),
inference(constrained_superposition,[],[f212,f252]) ).
thf(f624,plain,
( ( $true = $false )
| ~ spl1_3 ),
inference(forward_demodulation,[],[f588,f403]) ).
thf(f625,plain,
( $false
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f624]) ).
thf(f626,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f625]) ).
thf(f628,definition,
( spl1_9
<=> ! [X2: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( lAnna_THFTYPE_i = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
thf(f629,plain,
( ! [X2: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f628]) ).
thf(f632,definition,
( spl1_10
<=> ! [X2: $i] :
( ( lBill_THFTYPE_i != X2 )
| ( lAnna_THFTYPE_i = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
thf(f633,plain,
( ! [X2: $i] :
( ( lBill_THFTYPE_i != X2 )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f632]) ).
thf(f635,plain,
( $false
| ~ spl1_1 ),
inference(flex-flex_simplification,[],[f245]) ).
thf(f636,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f635]) ).
thf(f638,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( lBill_THFTYPE_i != X2 )
| ( X4 = X6 )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(equality_proxy_clausification,[],[f294]) ).
thf(f639,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( $false
= ( X6 = X4 ) )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f290]) ).
thf(f640,plain,
( ! [X2: $i,X6: $i,X4: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( X4 != X6 )
| ( lAnna_THFTYPE_i = X2 ) )
| ~ spl1_2 ),
inference(equality_proxy_clausification,[],[f639]) ).
thf(f645,plain,
( spl1_3
| spl1_10
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f638,f247,f632,f251]) ).
thf(f646,plain,
( spl1_1
| spl1_9
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f640,f247,f628,f244]) ).
thf(f647,plain,
( ! [X2: $i] : ( lAnna_THFTYPE_i = X2 )
| ~ spl1_9
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f633,f629]) ).
thf(f648,plain,
( ! [X0: $i,X1: $i] : ( X0 = X1 )
| ~ spl1_9
| ~ spl1_10 ),
inference(constrained_superposition,[],[f647,f647]) ).
thf(f679,plain,
( spl1_3
| ~ spl1_9
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f648,f632,f628,f251]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f249]) ).
cnf(s13,plain,
~ spl1_3,
inference(sat_conversion,[],[f626]) ).
cnf(s16,plain,
~ spl1_1,
inference(sat_conversion,[],[f636]) ).
cnf(s20,plain,
( ~ spl1_2
| spl1_3
| spl1_10 ),
inference(sat_conversion,[],[f645]) ).
cnf(s21,plain,
( spl1_1
| ~ spl1_2
| spl1_9 ),
inference(sat_conversion,[],[f646]) ).
cnf(s22,plain,
( spl1_3
| ~ spl1_9
| ~ spl1_10 ),
inference(sat_conversion,[],[f679]) ).
cnf(s25,plain,
spl1_2,
inference(rat,[],[s1,s16]) ).
cnf(s26,plain,
spl1_9,
inference(rat,[],[s21,s16,s25]) ).
cnf(s27,plain,
spl1_10,
inference(rat,[],[s20,s13,s25]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s22,s13,s27,s26]) ).
thf(f680,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR137^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n006.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 Sep 29 17:55:54 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % (1094017)Will run a generic schedule for satisfiability detection.
% 0.09/0.28 % (1094033)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3293705897:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.28 % (1094028)% WARNING: option uhcvi not known.
% 0.09/0.28 % (1094034)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=851715631:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.28 % (1094028)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4282698285:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.28 % (1094030)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4198122301:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.28 % (1094025)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3990775744_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.28 % (1094031)dis+10_1_sil=32000:sp=arity:random_seed=3104370205:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.28 % (1094032)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=686801994:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.28 % (1094028)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.28 % (1094032)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.28 % (1094028)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.28 % Exception at run slice level
% 0.09/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.28 % (1094033) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1094017-1094033"...
% 0.09/0.28 % (1094033)...printing done.
% 0.09/0.28 % (1094033)Refutation found. Thanks to Tanya!
% 0.09/0.28 % SZS status Theorem for theBenchmark
% 0.09/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.28 % (1094033)------------------------------
% 0.32/0.28 % (1094033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.28 % (1094033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.28 % (1094033)CaDiCaL version: 2.1.3
% 0.32/0.28 % (1094033)Termination reason: Refutation
% 0.32/0.28 % (1094033)Time elapsed: 0.022 s
% 0.32/0.28 % (1094033)Peak memory usage: 13 MB
% 0.32/0.28 % (1094033)Instructions burned: 43 (million)
% 0.32/0.28 % (1094017)Success in time 0.052 s
% 0.32/0.28 % Vampire exiting
%------------------------------------------------------------------------------