%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO537^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 08:48:22 AM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 24 unt; 0 typ; 5 def)
% Number of atoms : 236 ( 74 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 391 ( 69 ~; 53 |; 2 &; 243 @)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 227 ( 227 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 21 usr; 8 con; 0-4 aty)
% ( 0 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 113 ( 0 sgn 50 !; 16 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
epsii: ( ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_2,type,
epsa: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_3,type,
epsb: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_6,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_9,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
sK0: ( $i > $i ) > ( $i > $i ) > $o ).
thf(func_def_12,type,
sK1: $i > $i ).
thf(func_def_13,type,
sK2: $i > $i ).
thf(func_def_14,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_17,type,
sK4: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_18,type,
sK5: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(f1,axiom,
! [X0: ( $i > $i ) > $o] :
( ? [X1: $i > $i] : ( X0 @ X1 )
=> ( X0 @ ( epsii @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choiceaxii) ).
thf(f2,axiom,
( ( ^ [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] :
? [X2: $i > $i] : ( X0 @ X1 @ X2 ) ) )
= epsa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epsad) ).
thf(f3,axiom,
( epsb
= ( ^ [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] : ( X0 @ ( epsa @ X0 ) @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epsbd) ).
thf(f4,conjecture,
! [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X2: $i > $i,X1: $i > $i] : ( X0 @ X1 @ X2 )
=> ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f5,negated_conjecture,
~ ! [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X2: $i > $i,X1: $i > $i] : ( X0 @ X1 @ X2 )
=> ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
! [X0: ( $i > $i ) > $o] :
( ? [X1: $i > $i] : ( X0 @ X1 )
=> ( X0 @ ( epsii @ X0 ) ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
! [X0: ( $i > $i ) > $o] :
( ? [X1: $i > $i] :
( ( X0 @ X1 )
= $true )
=> ( ( X0 @ ( epsii @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( epsb
= ( ^ [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] : ( X0 @ ( epsa @ X0 ) @ X1 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
( epsb
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( Y0 @ ( epsa @ Y0 ) @ Y1 ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
~ ! [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X1: $i > $i,X2: $i > $i] : ( X0 @ X2 @ X1 )
=> ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f11,plain,
~ ! [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X1: $i > $i,X2: $i > $i] :
( $true
= ( X0 @ X2 @ X1 ) )
=> ( ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
( ( ^ [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] :
? [X2: $i > $i] : ( X0 @ X1 @ X2 ) ) )
= epsa ),
inference(rectify,[],[f2]) ).
thf(f13,plain,
( epsa
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] :
( ?? @ ( $i > $i )
@ ^ [Y2: $i > $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
? [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X1: $i > $i,X2: $i > $i] :
( $true
= ( X0 @ X2 @ X1 ) )
& ( ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) )
!= $true ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f15,plain,
! [X0: ( $i > $i ) > $o] :
( ! [X1: $i > $i] :
( ( X0 @ X1 )
!= $true )
| ( ( X0 @ ( epsii @ X0 ) )
= $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f16,plain,
( ( ( sK0 @ sK2 @ sK1 )
= $true )
& ( $true
!= ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f14]) ).
thf(f17,plain,
( epsa
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] :
( ?? @ ( $i > $i )
@ ^ [Y2: $i > $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f18,plain,
! [X0: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X0 @ ( epsii @ X0 ) )
= $true )
| ( ( X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f19,plain,
( epsb
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( Y0 @ ( epsa @ Y0 ) @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f20,plain,
( $true
!= ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f21,plain,
( ( sK0 @ sK2 @ sK1 )
= $true ),
inference(cnf_transformation,[],[f16]) ).
thf(f23,plain,
( epsa
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( ?? @ ( $i > $i ) @ ( Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f24,plain,
( epsb
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] : ( epsii @ ( Y0 @ ( epsa @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f19]) ).
thf(f26,definition,
( spl3_1
<=> ( epsa
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( ?? @ ( $i > $i ) @ ( Y0 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
thf(f28,plain,
( ( epsa
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( ?? @ ( $i > $i ) @ ( Y0 @ Y1 ) ) ) ) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f29,plain,
spl3_1,
inference(avatar_split_clause,[],[f23,f26]) ).
thf(f31,definition,
( spl3_2
<=> ( ( sK0 @ sK2 @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
thf(f33,plain,
( ( ( sK0 @ sK2 @ sK1 )
= $true )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f34,plain,
spl3_2,
inference(avatar_split_clause,[],[f21,f31]) ).
thf(f36,definition,
( spl3_3
<=> ( $true
= ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
thf(f38,plain,
( ( $true
!= ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) ) )
| spl3_3 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f39,plain,
~ spl3_3,
inference(avatar_split_clause,[],[f20,f36]) ).
thf(f41,definition,
( spl3_4
<=> ( epsb
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] : ( epsii @ ( Y0 @ ( epsa @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
thf(f43,plain,
( ( epsb
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] : ( epsii @ ( Y0 @ ( epsa @ Y0 ) ) ) ) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f44,plain,
spl3_4,
inference(avatar_split_clause,[],[f24,f41]) ).
thf(f48,plain,
! [X2: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( ^ [Y0: $i > $i] :
~ ( X2 @ Y0 )
@ X1 )
!= $true )
| ( $true
= ( ^ [Y0: $i > $i] :
~ ( X2 @ Y0 )
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( X2 @ Y0 ) ) ) ) ),
inference(primitive_instantiation,[],[f18]) ).
thf(f49,plain,
! [X2: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( ~ ( X2 @ X1 ) )
!= $true )
| ( ( ~ ( X2
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( X2 @ Y0 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f50,plain,
! [X2: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X2 @ X1 )
= $true )
| ( ( ~ ( X2
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( X2 @ Y0 ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f49]) ).
thf(f51,plain,
! [X2: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X2
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( X2 @ Y0 ) ) ) )
| ( ( X2 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f50]) ).
thf(f58,plain,
( ! [X1: ( $i > $i ) > ( $i > $i ) > $o] :
( ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( ?? @ ( $i > $i ) @ ( Y0 @ Y1 ) ) )
@ X1 )
= ( epsa @ X1 ) )
| ~ spl3_1 ),
inference(argument_congruence,[],[f28]) ).
thf(f59,plain,
( ! [X1: ( $i > $i ) > ( $i > $i ) > $o] :
( ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( X1 @ Y0 ) ) )
= ( epsa @ X1 ) )
| ~ spl3_1 ),
inference(beta-eta_normalization,[],[f58]) ).
thf(f60,plain,
( ! [X1: ( $i > $i ) > ( $i > $i ) > $o] :
( ( epsb @ X1 )
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] : ( epsii @ ( Y0 @ ( epsa @ Y0 ) ) )
@ X1 ) )
| ~ spl3_4 ),
inference(argument_congruence,[],[f43]) ).
thf(f61,plain,
( ! [X1: ( $i > $i ) > ( $i > $i ) > $o] :
( ( epsb @ X1 )
= ( epsii @ ( X1 @ ( epsa @ X1 ) ) ) )
| ~ spl3_4 ),
inference(beta-eta_normalization,[],[f60]) ).
thf(f65,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( ^ [Y0: $i > $i] :
~ ( X3 @ Y0 )
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( ^ [Y1: $i > $i] :
~ ( X3 @ Y1 )
@ Y0 ) ) )
= $false )
| ( ( ^ [Y0: $i > $i] :
~ ( X3 @ Y0 )
@ X1 )
= $true ) ),
inference(primitive_instantiation,[],[f51]) ).
thf(f71,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( ~ ( X3
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ~ ( X3 @ Y0 ) ) ) )
= $false )
| ( ( ~ ( X3 @ X1 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f65]) ).
thf(f72,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( ~ ( X3 @ X1 ) )
= $true )
| ( $true
= ( X3
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ~ ( X3 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f71]) ).
thf(f73,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $true
= ( X3
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ~ ( X3 @ Y0 ) ) ) )
| ( ( X3 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f72]) ).
thf(f74,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X3 @ X1 )
= $false )
| ( $true
= ( X3
@ ( epsii
@ ^ [Y0: $i > $i] : ( X3 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f73]) ).
thf(f75,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $true
= ( X3 @ ( epsii @ X3 ) ) )
| ( ( X3 @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f74]) ).
thf(f77,plain,
( ( ( sK0 @ ( epsa @ sK0 ) @ ( epsii @ ( sK0 @ ( epsa @ sK0 ) ) ) )
!= $true )
| spl3_3
| ~ spl3_4 ),
inference(superposition,[],[f38,f61]) ).
thf(f79,definition,
( spl3_5
<=> ( ( sK0 @ ( epsa @ sK0 ) @ ( epsii @ ( sK0 @ ( epsa @ sK0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
thf(f81,plain,
( ( ( sK0 @ ( epsa @ sK0 ) @ ( epsii @ ( sK0 @ ( epsa @ sK0 ) ) ) )
!= $true )
| spl3_5 ),
inference(avatar_component_clause,[],[f79]) ).
thf(f82,plain,
( ~ spl3_5
| spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f77,f41,f36,f79]) ).
thf(f84,plain,
( ! [X0: ( $i > $i ) > ( $i > $i ) > $o,X1: $i > $i] :
( ( $true
= ( ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( X0 @ Y0 ) )
@ ( epsa @ X0 ) ) )
| ( $true
!= ( ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( X0 @ Y0 ) )
@ X1 ) ) )
| ~ spl3_1 ),
inference(superposition,[],[f18,f59]) ).
thf(f85,plain,
( ! [X0: ( $i > $i ) > ( $i > $i ) > $o,X1: $i > $i] :
( ( $true
= ( ?? @ ( $i > $i ) @ ( X0 @ ( epsa @ X0 ) ) ) )
| ( ( ?? @ ( $i > $i ) @ ( X0 @ X1 ) )
!= $true ) )
| ~ spl3_1 ),
inference(beta-eta_normalization,[],[f84]) ).
thf(f86,plain,
( ! [X0: ( $i > $i ) > ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X0 @ ( epsa @ X0 ) @ ( sK4 @ X0 ) )
= $true )
| ( ( ?? @ ( $i > $i ) @ ( X0 @ X1 ) )
!= $true ) )
| ~ spl3_1 ),
inference(sigma_proxy_clausification,[],[f85]) ).
thf(f87,plain,
( ! [X2: $i > $i,X0: ( $i > $i ) > ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X0 @ ( epsa @ X0 ) @ ( sK4 @ X0 ) )
= $true )
| ( ( X0 @ X1 @ X2 )
= $false ) )
| ~ spl3_1 ),
inference(pi_proxy_clausification,[],[f86]) ).
thf(f114,plain,
( ! [X0: $i > $i] :
( ( ( sK0 @ ( epsa @ sK0 ) @ X0 )
= $false )
| ( $true != $true ) )
| spl3_5 ),
inference(superposition,[],[f81,f75]) ).
thf(f117,plain,
( ! [X0: $i > $i] :
( ( sK0 @ ( epsa @ sK0 ) @ X0 )
= $false )
| spl3_5 ),
inference(trivial_inequality_removal,[],[f114]) ).
thf(f136,plain,
( ! [X0: $i > $i,X1: $i > $i] :
( ( $true = $false )
| ( ( sK0 @ X0 @ X1 )
= $false ) )
| ~ spl3_1
| spl3_5 ),
inference(superposition,[],[f117,f87]) ).
thf(f139,plain,
( ! [X0: $i > $i,X1: $i > $i] :
( ( sK0 @ X0 @ X1 )
= $false )
| ~ spl3_1
| spl3_5 ),
inference(trivial_inequality_removal,[],[f136]) ).
thf(f182,plain,
( ( $true = $false )
| ~ spl3_1
| ~ spl3_2
| spl3_5 ),
inference(superposition,[],[f33,f139]) ).
thf(f191,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| spl3_5 ),
inference(trivial_inequality_removal,[],[f182]) ).
thf(f192,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_5 ),
inference(avatar_contradiction_clause,[],[f191]) ).
cnf(s1,plain,
spl3_1,
inference(sat_conversion,[],[f29]) ).
cnf(s2,plain,
spl3_2,
inference(sat_conversion,[],[f34]) ).
cnf(s3,plain,
~ spl3_3,
inference(sat_conversion,[],[f39]) ).
cnf(s4,plain,
spl3_4,
inference(sat_conversion,[],[f44]) ).
cnf(s5,plain,
( spl3_3
| ~ spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f82]) ).
cnf(s10,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_5 ),
inference(sat_conversion,[],[f192]) ).
cnf(s12,plain,
~ spl3_5,
inference(rat,[],[s5,s4,s3]) ).
cnf(s13,plain,
~ spl3_1,
inference(rat,[],[s10,s12,s2]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s1,s13]) ).
thf(f198,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO537^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:13:30 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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
% 0.19/0.28 % (2946934)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.28 % (2946941)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1416549333:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.28 % (2946941)Refutation not found, incomplete strategy
% 0.19/0.28 % (2946941)------------------------------
% 0.19/0.28 % (2946941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (2946941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (2946941)CaDiCaL version: 2.1.3
% 0.19/0.28 % (2946941)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.28 % (2946941)Time elapsed: 0.001 s
% 0.19/0.28 % (2946941)Peak memory usage: 12 MB
% 0.19/0.28 % (2946941)Instructions burned: 2 (million)
% 0.19/0.28 % (2946941)------------------------------
% 0.19/0.28 % (2946941)------------------------------
% 0.19/0.28 % (2946939)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3936123967:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.28 % (2946940)lrs+10_16_si=on:nwc=1.5:random_seed=657542139:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.28 % (2946942)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=3668573717: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)
% 0.19/0.28 % (2946943)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1988262813:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.28 % (2946944)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1236670766:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.28 % (2946939)Refutation not found, incomplete strategy
% 0.19/0.28 % (2946939)------------------------------
% 0.19/0.28 % (2946939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (2946939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (2946939)CaDiCaL version: 2.1.3
% 0.19/0.28 % (2946939)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.28 % (2946939)Time elapsed: 0.004 s
% 0.19/0.28 % (2946939)Peak memory usage: 12 MB
% 0.19/0.28 % (2946939)Instructions burned: 6 (million)
% 0.19/0.28 % (2946939)------------------------------
% 0.19/0.28 % (2946939)------------------------------
% 0.19/0.28 % (2946942) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2946934-2946942"...
% 0.19/0.28 % (2946945)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.28 % (2946945)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
% 0.19/0.28 % (2946940)Instruction limit reached!
% 0.19/0.28 % (2946940)------------------------------
% 0.19/0.28 % (2946940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (2946940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (2946940)CaDiCaL version: 2.1.3
% 0.19/0.28 % (2946940)Termination reason: Instruction limit
% 0.19/0.28 % (2946940)Termination phase: Saturation
% 0.19/0.28 % (2946940)Time elapsed: 0.011 s
% 0.19/0.28 % (2946940)Peak memory usage: 12 MB
% 0.19/0.28 % (2946940)Instructions burned: 19 (million)
% 0.19/0.28 % (2946942)...printing done.
% 0.19/0.28 % (2946945)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=1483307042:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.28 % (2946943) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2946934-2946943"...
% 0.19/0.28 % (2946942)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (2946942)------------------------------
% 0.19/0.28 % (2946942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (2946942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (2946942)CaDiCaL version: 2.1.3
% 0.19/0.28 % (2946942)Termination reason: Refutation
% 0.19/0.28 % (2946942)Time elapsed: 0.010 s
% 0.19/0.28 % (2946942)Peak memory usage: 13 MB
% 0.19/0.28 % (2946942)Instructions burned: 12 (million)
% 0.19/0.28 % (2946934)Success in time 0.044 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------