%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV235^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:38:05 AM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 87 ( 11 unt; 0 typ; 9 def)
% Number of atoms : 606 ( 139 equ; 0 cnn)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 514 ( 140 ~; 158 |; 34 &; 156 @)
% ( 13 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 39 !; 13 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cE: $i > $o ).
thf(func_def_1,type,
cD: $i > $o ).
thf(func_def_5,type,
sK0: $i > $o ).
thf(f1,conjecture,
! [X0: $i > $o] :
( ( ! [X1: $i] :
( ( X0 @ X1 )
=> ( cE @ X1 ) )
& ! [X1: $i] :
( ( X0 @ X1 )
=> ( cD @ X1 ) ) )
<=> ! [X1: $i] :
( ( X0 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM46A_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: $i > $o] :
( ( ! [X1: $i] :
( ( X0 @ X1 )
=> ( cE @ X1 ) )
& ! [X1: $i] :
( ( X0 @ X1 )
=> ( cD @ X1 ) ) )
<=> ! [X1: $i] :
( ( X0 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $i > $o] :
( ( ! [X1: $i] :
( ( X0 @ X1 )
=> ( cE @ X1 ) )
& ! [X2: $i] :
( ( X0 @ X2 )
=> ( cD @ X2 ) ) )
<=> ! [X3: $i] :
( ( X0 @ X3 )
=> ( ( cE @ X3 )
& ( cD @ X3 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: $i > $o] :
( ! [X3: $i] :
( ( ( X0 @ X3 )
= $true )
=> ( ( ( cD @ X3 )
= $true )
& ( ( cE @ X3 )
= $true ) ) )
<=> ( ! [X2: $i] :
( ( ( X0 @ X2 )
= $true )
=> ( ( cD @ X2 )
= $true ) )
& ! [X1: $i] :
( ( ( X0 @ X1 )
= $true )
=> ( ( cE @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: $i > $o] :
( ( ! [X2: $i] :
( ( ( X0 @ X2 )
!= $true )
| ( ( cD @ X2 )
= $true ) )
& ! [X1: $i] :
( ( ( X0 @ X1 )
!= $true )
| ( ( cE @ X1 )
= $true ) ) )
<~> ! [X3: $i] :
( ( ( X0 @ X3 )
!= $true )
| ( ( ( cD @ X3 )
= $true )
& ( ( cE @ X3 )
= $true ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: $i > $o] :
( ( ? [X3: $i] :
( ( ( X0 @ X3 )
= $true )
& ( ( ( cD @ X3 )
!= $true )
| ( ( cE @ X3 )
!= $true ) ) )
| ? [X2: $i] :
( ( ( X0 @ X2 )
= $true )
& ( ( cD @ X2 )
!= $true ) )
| ? [X1: $i] :
( ( ( X0 @ X1 )
= $true )
& ( ( cE @ X1 )
!= $true ) ) )
& ( ! [X3: $i] :
( ( ( X0 @ X3 )
!= $true )
| ( ( ( cD @ X3 )
= $true )
& ( ( cE @ X3 )
= $true ) ) )
| ( ! [X2: $i] :
( ( ( X0 @ X2 )
!= $true )
| ( ( cD @ X2 )
= $true ) )
& ! [X1: $i] :
( ( ( X0 @ X1 )
!= $true )
| ( ( cE @ X1 )
= $true ) ) ) ) ),
inference(nnf_transformation,[],[f5]) ).
thf(f7,plain,
? [X0: $i > $o] :
( ( ? [X3: $i] :
( ( ( X0 @ X3 )
= $true )
& ( ( ( cD @ X3 )
!= $true )
| ( ( cE @ X3 )
!= $true ) ) )
| ? [X2: $i] :
( ( ( X0 @ X2 )
= $true )
& ( ( cD @ X2 )
!= $true ) )
| ? [X1: $i] :
( ( ( X0 @ X1 )
= $true )
& ( ( cE @ X1 )
!= $true ) ) )
& ( ! [X3: $i] :
( ( ( X0 @ X3 )
!= $true )
| ( ( ( cD @ X3 )
= $true )
& ( ( cE @ X3 )
= $true ) ) )
| ( ! [X2: $i] :
( ( ( X0 @ X2 )
!= $true )
| ( ( cD @ X2 )
= $true ) )
& ! [X1: $i] :
( ( ( X0 @ X1 )
!= $true )
| ( ( cE @ X1 )
= $true ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X0: $i > $o] :
( ( ? [X1: $i] :
( ( ( X0 @ X1 )
= $true )
& ( ( ( cD @ X1 )
!= $true )
| ( ( cE @ X1 )
!= $true ) ) )
| ? [X2: $i] :
( ( ( X0 @ X2 )
= $true )
& ( ( cD @ X2 )
!= $true ) )
| ? [X3: $i] :
( ( ( X0 @ X3 )
= $true )
& ( ( cE @ X3 )
!= $true ) ) )
& ( ! [X4: $i] :
( ( ( X0 @ X4 )
!= $true )
| ( ( ( cD @ X4 )
= $true )
& ( ( cE @ X4 )
= $true ) ) )
| ( ! [X5: $i] :
( ( $true
!= ( X0 @ X5 ) )
| ( ( cD @ X5 )
= $true ) )
& ! [X6: $i] :
( ( ( X0 @ X6 )
!= $true )
| ( $true
= ( cE @ X6 ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ( ( ( ( sK0 @ sK1 )
= $true )
& ( ( $true
!= ( cD @ sK1 ) )
| ( ( cE @ sK1 )
!= $true ) ) )
| ( ( ( sK0 @ sK2 )
= $true )
& ( ( cD @ sK2 )
!= $true ) )
| ( ( ( sK0 @ sK3 )
= $true )
& ( ( cE @ sK3 )
!= $true ) ) )
& ( ! [X4: $i] :
( ( ( sK0 @ X4 )
!= $true )
| ( ( ( cD @ X4 )
= $true )
& ( ( cE @ X4 )
= $true ) ) )
| ( ! [X5: $i] :
( ( ( sK0 @ X5 )
!= $true )
| ( ( cD @ X5 )
= $true ) )
& ! [X6: $i] :
( ( ( sK0 @ X6 )
!= $true )
| ( $true
= ( cE @ X6 ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f8]) ).
thf(f10,plain,
! [X6: $i,X4: $i] :
( ( ( cE @ X4 )
= $true )
| ( $true
= ( cE @ X6 ) )
| ( ( sK0 @ X6 )
!= $true )
| ( ( sK0 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
! [X4: $i,X5: $i] :
( ( ( sK0 @ X4 )
!= $true )
| ( ( sK0 @ X5 )
!= $true )
| ( ( cD @ X5 )
= $true )
| ( ( cD @ X4 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
( ( $true
!= ( cD @ sK1 ) )
| ( ( cD @ sK2 )
!= $true )
| ( ( cE @ sK1 )
!= $true )
| ( ( cE @ sK3 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
( ( ( sK0 @ sK3 )
= $true )
| ( ( cE @ sK1 )
!= $true )
| ( $true
!= ( cD @ sK1 ) )
| ( ( cD @ sK2 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f16,plain,
( ( ( cE @ sK1 )
!= $true )
| ( ( sK0 @ sK2 )
= $true )
| ( ( cE @ sK3 )
!= $true )
| ( $true
!= ( cD @ sK1 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,plain,
( ( $true
!= ( cD @ sK1 ) )
| ( ( sK0 @ sK2 )
= $true )
| ( ( cE @ sK1 )
!= $true )
| ( ( sK0 @ sK3 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f18,plain,
( ( ( cE @ sK3 )
!= $true )
| ( ( cD @ sK2 )
!= $true )
| ( ( sK0 @ sK1 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f19,plain,
( ( ( sK0 @ sK1 )
= $true )
| ( ( cD @ sK2 )
!= $true )
| ( ( sK0 @ sK3 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f20,plain,
( ( ( sK0 @ sK2 )
= $true )
| ( ( sK0 @ sK1 )
= $true )
| ( ( cE @ sK3 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f21,plain,
( ( ( sK0 @ sK1 )
= $true )
| ( ( sK0 @ sK3 )
= $true )
| ( ( sK0 @ sK2 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f24,definition,
( spl4_1
<=> ( ( sK0 @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f26,plain,
( ( ( sK0 @ sK2 )
= $true )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f24]) ).
thf(f28,definition,
( spl4_2
<=> ( ( sK0 @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f32,definition,
( spl4_3
<=> ( ( cE @ sK3 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f34,plain,
( ( ( cE @ sK3 )
!= $true )
| spl4_3 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f35,plain,
( spl4_1
| spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f20,f32,f28,f24]) ).
thf(f37,definition,
( spl4_4
<=> ! [X5: $i] :
( ( ( sK0 @ X5 )
!= $true )
| ( ( cD @ X5 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f38,plain,
( ! [X5: $i] :
( ( ( cD @ X5 )
= $true )
| ( ( sK0 @ X5 )
!= $true ) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f39,plain,
( spl4_4
| spl4_4 ),
inference(avatar_split_clause,[],[f13,f37,f37]) ).
thf(f41,definition,
( spl4_5
<=> ( $true
= ( cD @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f43,plain,
( ( $true
!= ( cD @ sK1 ) )
| spl4_5 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f45,definition,
( spl4_6
<=> ( ( sK0 @ sK3 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
thf(f47,plain,
( ( ( sK0 @ sK3 )
= $true )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f49,definition,
( spl4_7
<=> ( ( cE @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
thf(f51,plain,
( ( ( cE @ sK1 )
!= $true )
| spl4_7 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f53,definition,
( spl4_8
<=> ( ( cD @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
thf(f55,plain,
( ( ( cD @ sK2 )
!= $true )
| spl4_8 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f56,plain,
( ~ spl4_5
| spl4_6
| ~ spl4_7
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f15,f53,f49,f45,f41]) ).
thf(f57,plain,
( spl4_6
| spl4_1
| ~ spl4_5
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f17,f49,f41,f24,f45]) ).
thf(f58,plain,
( spl4_1
| spl4_2
| spl4_6 ),
inference(avatar_split_clause,[],[f21,f45,f28,f24]) ).
thf(f60,definition,
( spl4_9
<=> ! [X6: $i] :
( ( $true
= ( cE @ X6 ) )
| ( ( sK0 @ X6 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
thf(f61,plain,
( ! [X6: $i] :
( ( $true
= ( cE @ X6 ) )
| ( ( sK0 @ X6 )
!= $true ) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f62,plain,
( spl4_9
| spl4_9 ),
inference(avatar_split_clause,[],[f10,f60,f60]) ).
thf(f63,plain,
( spl4_1
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f16,f49,f41,f32,f24]) ).
thf(f65,plain,
( spl4_2
| ~ spl4_8
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f18,f32,f53,f28]) ).
thf(f66,plain,
( spl4_2
| spl4_6
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f19,f53,f45,f28]) ).
thf(f68,plain,
( ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f14,f32,f53,f49,f41]) ).
thf(f69,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
!= $true )
| spl4_7
| ~ spl4_9 ),
inference(superposition,[],[f51,f61]) ).
thf(f70,plain,
( ( ( sK0 @ sK1 )
!= $true )
| spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f69]) ).
thf(f73,plain,
( ~ spl4_2
| spl4_7
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f70,f60,f49,f28]) ).
thf(f74,plain,
( ( ( sK0 @ sK3 )
!= $true )
| ( $true != $true )
| spl4_3
| ~ spl4_9 ),
inference(superposition,[],[f34,f61]) ).
thf(f75,plain,
( ( ( sK0 @ sK3 )
!= $true )
| spl4_3
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f74]) ).
thf(f76,plain,
( $false
| spl4_3
| ~ spl4_6
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f75,f47]) ).
thf(f77,plain,
( spl4_3
| ~ spl4_6
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f76]) ).
thf(f78,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
!= $true )
| ~ spl4_4
| spl4_5 ),
inference(superposition,[],[f43,f38]) ).
thf(f79,plain,
( ( ( sK0 @ sK1 )
!= $true )
| ~ spl4_4
| spl4_5 ),
inference(trivial_inequality_removal,[],[f78]) ).
thf(f82,plain,
( ~ spl4_2
| ~ spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f79,f41,f37,f28]) ).
thf(f83,plain,
( ( ( sK0 @ sK2 )
!= $true )
| ( $true != $true )
| ~ spl4_4
| spl4_8 ),
inference(superposition,[],[f55,f38]) ).
thf(f84,plain,
( ( ( sK0 @ sK2 )
!= $true )
| ~ spl4_4
| spl4_8 ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f85,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| spl4_8 ),
inference(forward_subsumption_resolution,[],[f84,f26]) ).
thf(f86,plain,
( ~ spl4_1
| ~ spl4_4
| spl4_8 ),
inference(avatar_contradiction_clause,[],[f85]) ).
cnf(s1,plain,
( spl4_1
| spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f35]) ).
cnf(s2,plain,
( spl4_4
| spl4_4 ),
inference(sat_conversion,[],[f39]) ).
cnf(s3,plain,
spl4_4,
inference(rat,[],[s2]) ).
cnf(s4,plain,
( ~ spl4_5
| spl4_6
| ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f56]) ).
cnf(s5,plain,
( spl4_1
| ~ spl4_5
| spl4_6
| ~ spl4_7 ),
inference(sat_conversion,[],[f57]) ).
cnf(s6,plain,
( spl4_1
| spl4_2
| spl4_6 ),
inference(sat_conversion,[],[f58]) ).
cnf(s7,plain,
( spl4_9
| spl4_9 ),
inference(sat_conversion,[],[f62]) ).
cnf(s8,plain,
spl4_9,
inference(rat,[],[s7]) ).
cnf(s9,plain,
( spl4_1
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(sat_conversion,[],[f63]) ).
cnf(s11,plain,
( spl4_2
| ~ spl4_3
| ~ spl4_8 ),
inference(sat_conversion,[],[f65]) ).
cnf(s12,plain,
( spl4_2
| spl4_6
| ~ spl4_8 ),
inference(sat_conversion,[],[f66]) ).
cnf(s14,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f68]) ).
cnf(s16,plain,
( ~ spl4_2
| spl4_7
| ~ spl4_9 ),
inference(sat_conversion,[],[f73]) ).
cnf(s17,plain,
( spl4_3
| ~ spl4_6
| ~ spl4_9 ),
inference(sat_conversion,[],[f77]) ).
cnf(s19,plain,
( ~ spl4_2
| ~ spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f82]) ).
cnf(s20,plain,
( ~ spl4_1
| ~ spl4_4
| spl4_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s21,plain,
( spl4_2
| spl4_1 ),
inference(rat,[],[s17,s1,s6,s8]) ).
cnf(s22,plain,
( ~ spl4_5
| ~ spl4_7
| spl4_1 ),
inference(rat,[],[s17,s9,s5,s8]) ).
cnf(s23,plain,
spl4_1,
inference(rat,[],[s22,s16,s19,s21,s8,s3]) ).
cnf(s24,plain,
spl4_8,
inference(rat,[],[s20,s3,s23]) ).
cnf(s25,plain,
spl4_6,
inference(rat,[],[s4,s16,s19,s12,s24,s8,s3]) ).
cnf(s26,plain,
spl4_3,
inference(rat,[],[s17,s8,s25]) ).
cnf(s27,plain,
spl4_2,
inference(rat,[],[s11,s24,s26]) ).
cnf(s28,plain,
spl4_5,
inference(rat,[],[s19,s3,s27]) ).
cnf(s29,plain,
spl4_7,
inference(rat,[],[s16,s8,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s14,s24,s26,s28,s29]) ).
thf(f87,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV235^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.16 % Computer : n009.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Tue Sep 29 15:26:49 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running higher-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.24 % (4135868)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.07/0.24 % (4135876)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=4151015148: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)
% 0.07/0.24 % (4135876) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4135868-4135876"...
% 0.07/0.24 % (4135876)...printing done.
% 0.07/0.24 % (4135879)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.07/0.24 % (4135879)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
% 0.07/0.24 % (4135876)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Theorem for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (4135876)------------------------------
% 0.07/0.25 % (4135876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (4135876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (4135876)CaDiCaL version: 2.1.3
% 0.07/0.25 % (4135876)Termination reason: Refutation
% 0.07/0.25 % (4135876)Time elapsed: 0.003 s
% 0.07/0.25 % (4135876)Peak memory usage: 13 MB
% 0.07/0.25 % (4135876)Instructions burned: 6 (million)
% 0.07/0.25 % (4135868)Success in time 0.027 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------