%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV486^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:38:43 AM UTC 2026
% Result : Theorem 0.22s 0.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 13 unt; 0 typ; 1 def)
% Number of atoms : 166 ( 38 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 296 ( 20 ~; 13 |; 9 &; 242 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 5 con; 0-4 aty)
% ( 0 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 62 ( 0 sgn 31 !; 6 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/nums/num': $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
'const/sets/SETSPEC':
!>[X0: $tType] : ( X0 > $o > X0 > $o ) ).
thf(func_def_1,type,
'const/sets/HAS_SIZE':
!>[X0: $tType] : ( ( X0 > $o ) > 'type/nums/num' > $o ) ).
thf(func_def_2,type,
'const/sets/GSPEC':
!>[X0: $tType] : ( ( X0 > $o ) > X0 > $o ) ).
thf(func_def_3,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_4,type,
'const/sets/CARD':
!>[X0: $tType] : ( ( X0 > $o ) > 'type/nums/num' ) ).
thf(func_def_5,type,
'const/arith/<': 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_7,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_13,type,
sK0: 'type/nums/num' ).
thf(f1,axiom,
! [X0: 'type/nums/num'] :
( 'const/sets/HAS_SIZE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [X1: 'type/nums/num'] :
? [X2: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ X1 @ ( 'const/arith/<' @ X2 @ X0 ) @ X2 ) )
@ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/HAS_SIZE_NUMSEG_LT_') ).
thf(f2,axiom,
! [X0: $tType,X1: X0 > $o,X2: 'type/nums/num'] :
( ( ( 'const/sets/CARD' @ X0 @ X1 )
= X2 )
& ( ( 'const/sets/FINITE' @ X0 @ X1 )
= ( 'const/sets/HAS_SIZE' @ X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/HAS_SIZE_') ).
thf(f3,conjecture,
! [X0: 'type/nums/num'] :
( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [X1: 'type/nums/num'] :
? [X2: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ X1 @ ( 'const/arith/<' @ X2 @ X0 ) @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/FINITE_NUMSEG_LT_') ).
thf(f4,negated_conjecture,
~ ! [X0: 'type/nums/num'] :
( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [X1: 'type/nums/num'] :
? [X2: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ X1 @ ( 'const/arith/<' @ X2 @ X0 ) @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
~ ! [X0: 'type/nums/num'] :
( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [X1: 'type/nums/num'] :
? [X2: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ X1 @ ( 'const/arith/<' @ X2 @ X0 ) @ X2 ) ) ),
inference(rectify,[],[f4]) ).
thf(f6,plain,
~ ! [X0: 'type/nums/num'] :
( ( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ X0 ) @ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
! [X0: $tType,X1: X0 > $o,X2: 'type/nums/num'] :
( ( ( 'const/sets/CARD' @ X0 @ X1 )
= X2 )
& ( ( 'const/sets/FINITE' @ X0 @ X1 )
= ( 'const/sets/HAS_SIZE' @ X0 @ X1 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f8,plain,
! [X0: $tType,X2: 'type/nums/num',X1: X0 > $o] :
( ( ( 'const/sets/HAS_SIZE' @ X0 @ X1 @ X2 )
= $true )
<=> ( ( ( 'const/sets/CARD' @ X0 @ X1 )
= X2 )
& ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
! [X0: 'type/nums/num'] :
( 'const/sets/HAS_SIZE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [X1: 'type/nums/num'] :
? [X2: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ X1 @ ( 'const/arith/<' @ X2 @ X0 ) @ X2 ) )
@ X0 ),
inference(rectify,[],[f1]) ).
thf(f10,plain,
! [X0: 'type/nums/num'] :
( $true
= ( 'const/sets/HAS_SIZE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ X0 ) @ Y1 ) ) )
@ X0 ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
? [X0: 'type/nums/num'] :
( ( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ X0 ) @ Y1 ) ) ) )
!= $true ),
inference(ennf_transformation,[],[f6]) ).
thf(f12,plain,
( ( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ sK0 ) @ Y1 ) ) ) )
!= $true ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f11]) ).
thf(f13,plain,
! [X0: $tType,X2: 'type/nums/num',X1: X0 > $o] :
( ( ( ( 'const/sets/HAS_SIZE' @ X0 @ X1 @ X2 )
= $true )
| ( ( 'const/sets/CARD' @ X0 @ X1 )
!= X2 )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
!= $true ) )
& ( ( ( ( 'const/sets/CARD' @ X0 @ X1 )
= X2 )
& ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $true ) )
| ( ( 'const/sets/HAS_SIZE' @ X0 @ X1 @ X2 )
!= $true ) ) ),
inference(nnf_transformation,[],[f8]) ).
thf(f14,plain,
! [X0: $tType,X2: 'type/nums/num',X1: X0 > $o] :
( ( ( ( 'const/sets/HAS_SIZE' @ X0 @ X1 @ X2 )
= $true )
| ( ( 'const/sets/CARD' @ X0 @ X1 )
!= X2 )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
!= $true ) )
& ( ( ( ( 'const/sets/CARD' @ X0 @ X1 )
= X2 )
& ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $true ) )
| ( ( 'const/sets/HAS_SIZE' @ X0 @ X1 @ X2 )
!= $true ) ) ),
inference(flattening,[],[f13]) ).
thf(f15,plain,
! [X0: $tType,X1: 'type/nums/num',X2: X0 > $o] :
( ( ( ( 'const/sets/HAS_SIZE' @ X0 @ X2 @ X1 )
= $true )
| ( ( 'const/sets/CARD' @ X0 @ X2 )
!= X1 )
| ( ( 'const/sets/FINITE' @ X0 @ X2 )
!= $true ) )
& ( ( ( ( 'const/sets/CARD' @ X0 @ X2 )
= X1 )
& ( ( 'const/sets/FINITE' @ X0 @ X2 )
= $true ) )
| ( ( 'const/sets/HAS_SIZE' @ X0 @ X2 @ X1 )
!= $true ) ) ),
inference(rectify,[],[f14]) ).
thf(f16,plain,
( ( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ sK0 ) @ Y1 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f17,plain,
! [X0: 'type/nums/num'] :
( $true
= ( 'const/sets/HAS_SIZE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ X0 ) @ Y1 ) ) )
@ X0 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f18,plain,
! [X0: $tType,X2: X0 > $o,X1: 'type/nums/num'] :
( ( ( 'const/sets/HAS_SIZE' @ X0 @ X2 @ X1 )
!= $true )
| ( ( 'const/sets/FINITE' @ X0 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f24,definition,
( spl1_1
<=> ( ( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ sK0 ) @ Y1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f26,plain,
( ( ( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ sK0 ) @ Y1 ) ) ) )
!= $true )
| spl1_1 ),
inference(avatar_component_clause,[],[f24]) ).
thf(f27,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f16,f24]) ).
thf(f30,plain,
! [X0: 'type/nums/num'] :
( ( ( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ X0 ) @ Y1 ) ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f18,f17]) ).
thf(f32,plain,
! [X0: 'type/nums/num'] :
( ( 'const/sets/FINITE' @ 'type/nums/num'
@ ( 'const/sets/GSPEC' @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/SETSPEC' @ 'type/nums/num' @ Y0 @ ( 'const/arith/<' @ Y1 @ X0 ) @ Y1 ) ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f34,plain,
( $false
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f26,f32]) ).
thf(f35,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f34]) ).
cnf(s1,plain,
~ spl1_1,
inference(sat_conversion,[],[f27]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f35]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
thf(f36,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV486^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n020.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 15:54:35 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 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
% 0.22/0.29 % (1215086)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (1215097)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.29 % (1215097)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
% 0.22/0.29 % (1215097)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=3296106409:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.29 % (1215097)Refutation not found, incomplete strategy
% 0.22/0.29 % (1215097)------------------------------
% 0.22/0.29 % (1215097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1215097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1215097)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1215097)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (1215097)Time elapsed: 0.002 s
% 0.22/0.29 % (1215097)Peak memory usage: 12 MB
% 0.22/0.29 % (1215097)Instructions burned: 4 (million)
% 0.22/0.29 % (1215097)------------------------------
% 0.22/0.29 % (1215097)------------------------------
% 0.22/0.29 % (1215092)lrs+10_16_si=on:nwc=1.5:random_seed=963176434:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (1215091)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2198474187:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (1215093)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3258770946:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (1215094)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=3763913463: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)
% 0.22/0.29 % (1215095)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2843032567:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (1215096)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2703134237:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.29 % (1215093)Refutation not found, incomplete strategy
% 0.22/0.29 % (1215093)------------------------------
% 0.22/0.29 % (1215093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1215093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1215093)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1215093)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (1215093)Time elapsed: 0.001 s
% 0.22/0.29 % (1215093)Peak memory usage: 12 MB
% 0.22/0.29 % (1215093)Instructions burned: 1 (million)
% 0.22/0.29 % (1215091)Refutation not found, incomplete strategy
% 0.22/0.29 % (1215091)------------------------------
% 0.22/0.29 % (1215091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1215091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1215091)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1215091)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (1215091)Time elapsed: 0.002 s
% 0.22/0.29 % (1215091)Peak memory usage: 12 MB
% 0.22/0.29 % (1215091)Instructions burned: 2 (million)
% 0.22/0.29 % (1215093)------------------------------
% 0.22/0.29 % (1215093)------------------------------
% 0.22/0.29 % (1215095)Refutation not found, incomplete strategy
% 0.22/0.29 % (1215095)------------------------------
% 0.22/0.29 % (1215095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1215095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1215095)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1215095)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (1215095)Time elapsed: 0.002 s
% 0.22/0.29 % (1215095)Peak memory usage: 12 MB
% 0.22/0.29 % (1215095)Instructions burned: 2 (million)
% 0.22/0.29 % (1215091)------------------------------
% 0.22/0.29 % (1215091)------------------------------
% 0.22/0.29 % (1215094) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1215086-1215094"...
% 0.22/0.30 % (1215095)------------------------------
% 0.22/0.30 % (1215095)------------------------------
% 0.22/0.30 % (1215096) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1215086-1215096"...
% 0.22/0.30 % (1215094)...printing done.
% 0.22/0.30 % (1215094)Refutation found. Thanks to Tanya!
% 0.22/0.30 % SZS status Theorem for theBenchmark
% 0.22/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.30 % (1215094)------------------------------
% 0.22/0.30 % (1215094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (1215094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (1215094)CaDiCaL version: 2.1.3
% 0.22/0.30 % (1215094)Termination reason: Refutation
% 0.22/0.30 % (1215094)Time elapsed: 0.004 s
% 0.22/0.30 % (1215094)Peak memory usage: 13 MB
% 0.22/0.30 % (1215094)Instructions burned: 4 (million)
% 0.22/0.30 % (1215086)Success in time 0.039 s
% 0.22/0.30 % Vampire exiting
%------------------------------------------------------------------------------