%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ001+2 : 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 : n012.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 : Tue Sep 29 12:31:02 PM UTC 2026
% Result : Theorem 0.27s 0.83s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 25 unt; 3 def)
% Number of atoms : 277 ( 70 equ)
% Maximal formula atoms : 37 ( 4 avg)
% Number of connectives : 324 ( 107 ~; 84 |; 108 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 5 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 218 ( 0 sgn 147 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1,X2] :
( $true
& predicate1(X1,live,X0)
& modifier_pp(X1,in,'DreadburyMansion')
& predicate2(X2,kill,X0,'AuntAgatha')
& ! [X3,X4] :
( ( $true
& predicate1(X4,live,X3)
& modifier_pp(X4,in,'DreadburyMansion') )
=> ( X3 = 'AuntAgatha'
| X3 = 'Butler'
| X3 = 'Charles' ) )
& ! [X5] :
( $true
=> ! [X6,X7] :
( ( $true
& predicate2(X7,kill,X5,X6) )
=> ? [X8] : predicate2(X8,hate,X5,X6) ) )
& ! [X9] :
( $true
=> ~ ? [X10,X11,X12] :
( $true
& predicate2(X11,kill,X9,X10)
& property2(X12,rich,comp_than,X10)
& X9 = X12 ) )
& ! [X13,X14] :
( ( $true
& predicate2(X14,hate,'AuntAgatha',X13) )
=> ~ ? [X15] : predicate2(X15,hate,'Charles',X13) )
& ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X17] :
( ( $true
& X17 != 'Butler' )
=> ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ! [X19] :
( ( $true
& ~ ? [X20] :
( property2(X20,rich,comp_than,'AuntAgatha')
& X19 = X20 ) )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X22,X23] :
( ( $true
& predicate2(X23,hate,'AuntAgatha',X22) )
=> ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X25] :
( $true
=> ~ ! [X26] :
( $true
=> ? [X27] : predicate2(X27,hate,X25,X26) ) )
& 'AuntAgatha' != 'Butler' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
fof(f2,conjecture,
? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f3,negated_conjecture,
~ ? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
? [X0,X1,X2] :
( predicate1(X1,live,X0)
& modifier_pp(X1,in,'DreadburyMansion')
& predicate2(X2,kill,X0,'AuntAgatha')
& ! [X3,X4] :
( ( predicate1(X4,live,X3)
& modifier_pp(X4,in,'DreadburyMansion') )
=> ( X3 = 'AuntAgatha'
| X3 = 'Butler'
| X3 = 'Charles' ) )
& ! [X5,X6,X7] :
( predicate2(X7,kill,X5,X6)
=> ? [X8] : predicate2(X8,hate,X5,X6) )
& ! [X9] :
~ ? [X10,X11,X12] :
( predicate2(X11,kill,X9,X10)
& property2(X12,rich,comp_than,X10)
& X9 = X12 )
& ! [X13,X14] :
( predicate2(X14,hate,'AuntAgatha',X13)
=> ~ ? [X15] : predicate2(X15,hate,'Charles',X13) )
& ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X17] :
( X17 != 'Butler'
=> ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ! [X19] :
( ~ ? [X20] :
( property2(X20,rich,comp_than,'AuntAgatha')
& X19 = X20 )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X22,X23] :
( predicate2(X23,hate,'AuntAgatha',X22)
=> ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X25] :
~ ! [X26] :
? [X27] : predicate2(X27,hate,X25,X26)
& 'AuntAgatha' != 'Butler' ),
inference(true_and_false_elimination,[],[f1]) ).
fof(f5,plain,
? [X0,X1,X2] :
( predicate1(X1,live,X0)
& modifier_pp(X1,in,'DreadburyMansion')
& predicate2(X2,kill,X0,'AuntAgatha')
& ! [X3,X4] :
( ( predicate1(X4,live,X3)
& modifier_pp(X4,in,'DreadburyMansion') )
=> ( X3 = 'AuntAgatha'
| X3 = 'Butler'
| X3 = 'Charles' ) )
& ! [X5,X6,X7] :
( predicate2(X7,kill,X5,X6)
=> ? [X8] : predicate2(X8,hate,X5,X6) )
& ! [X9] :
~ ? [X10,X11,X12] :
( predicate2(X11,kill,X9,X10)
& property2(X12,rich,comp_than,X10)
& X9 = X12 )
& ! [X13,X14] :
( predicate2(X14,hate,'AuntAgatha',X13)
=> ~ ? [X15] : predicate2(X15,hate,'Charles',X13) )
& ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X17] :
( X17 != 'Butler'
=> ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ! [X19] :
( ~ ? [X20] :
( property2(X20,rich,comp_than,'AuntAgatha')
& X19 = X20 )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X22,X23] :
( predicate2(X23,hate,'AuntAgatha',X22)
=> ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X25] :
~ ! [X26] :
? [X27] : predicate2(X27,hate,X25,X26)
& 'AuntAgatha' != 'Butler' ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0,X1,X2] :
( predicate1(X1,live,X0)
& modifier_pp(X1,in,'DreadburyMansion')
& predicate2(X2,kill,X0,'AuntAgatha')
& ! [X3,X4] :
( X3 = 'AuntAgatha'
| X3 = 'Butler'
| X3 = 'Charles'
| ~ predicate1(X4,live,X3)
| ~ modifier_pp(X4,in,'DreadburyMansion') )
& ! [X5,X6,X7] :
( ? [X8] : predicate2(X8,hate,X5,X6)
| ~ predicate2(X7,kill,X5,X6) )
& ! [X9,X10,X11,X12] :
( ~ predicate2(X11,kill,X9,X10)
| ~ property2(X12,rich,comp_than,X10)
| X9 != X12 )
& ! [X13,X14] :
( ! [X15] : ~ predicate2(X15,hate,'Charles',X13)
| ~ predicate2(X14,hate,'AuntAgatha',X13) )
& ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X17] :
( ? [X18] : predicate2(X18,hate,'AuntAgatha',X17)
| 'Butler' = X17 )
& ! [X19] :
( ? [X21] : predicate2(X21,hate,'Butler',X19)
| ? [X20] :
( property2(X20,rich,comp_than,'AuntAgatha')
& X19 = X20 ) )
& ! [X22,X23] :
( ? [X24] : predicate2(X24,hate,'Butler',X22)
| ~ predicate2(X23,hate,'AuntAgatha',X22) )
& ! [X25] :
? [X26] :
! [X27] : ~ predicate2(X27,hate,X25,X26)
& 'AuntAgatha' != 'Butler' ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0,X1,X2] :
( predicate1(X1,live,X0)
& modifier_pp(X1,in,'DreadburyMansion')
& predicate2(X2,kill,X0,'AuntAgatha')
& ! [X3,X4] :
( X3 = 'AuntAgatha'
| X3 = 'Butler'
| X3 = 'Charles'
| ~ predicate1(X4,live,X3)
| ~ modifier_pp(X4,in,'DreadburyMansion') )
& ! [X5,X6,X7] :
( ? [X8] : predicate2(X8,hate,X5,X6)
| ~ predicate2(X7,kill,X5,X6) )
& ! [X9,X10,X11,X12] :
( ~ predicate2(X11,kill,X9,X10)
| ~ property2(X12,rich,comp_than,X10)
| X9 != X12 )
& ! [X13,X14] :
( ! [X15] : ~ predicate2(X15,hate,'Charles',X13)
| ~ predicate2(X14,hate,'AuntAgatha',X13) )
& ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X17] :
( ? [X18] : predicate2(X18,hate,'AuntAgatha',X17)
| 'Butler' = X17 )
& ! [X19] :
( ? [X21] : predicate2(X21,hate,'Butler',X19)
| ? [X20] :
( property2(X20,rich,comp_than,'AuntAgatha')
& X19 = X20 ) )
& ! [X22,X23] :
( ? [X24] : predicate2(X24,hate,'Butler',X22)
| ~ predicate2(X23,hate,'AuntAgatha',X22) )
& ! [X25] :
? [X26] :
! [X27] : ~ predicate2(X27,hate,X25,X26)
& 'AuntAgatha' != 'Butler' ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
? [X0,X1,X2] :
( predicate1(X1,live,X0)
& modifier_pp(X1,in,'DreadburyMansion')
& predicate2(X2,kill,X0,'AuntAgatha')
& ! [X3,X4] :
( X3 = 'AuntAgatha'
| X3 = 'Butler'
| X3 = 'Charles'
| ~ predicate1(X4,live,X3)
| ~ modifier_pp(X4,in,'DreadburyMansion') )
& ! [X5,X6,X7] :
( ? [X8] : predicate2(X8,hate,X5,X6)
| ~ predicate2(X7,kill,X5,X6) )
& ! [X9,X10,X11,X12] :
( ~ predicate2(X11,kill,X9,X10)
| ~ property2(X12,rich,comp_than,X10)
| X9 != X12 )
& ! [X13,X14] :
( ! [X15] : ~ predicate2(X15,hate,'Charles',X13)
| ~ predicate2(X14,hate,'AuntAgatha',X13) )
& ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X17] :
( ? [X18] : predicate2(X18,hate,'AuntAgatha',X17)
| 'Butler' = X17 )
& ! [X19] :
( ? [X20] : predicate2(X20,hate,'Butler',X19)
| ? [X21] :
( property2(X21,rich,comp_than,'AuntAgatha')
& X19 = X21 ) )
& ! [X22,X23] :
( ? [X24] : predicate2(X24,hate,'Butler',X22)
| ~ predicate2(X23,hate,'AuntAgatha',X22) )
& ! [X25] :
? [X26] :
! [X27] : ~ predicate2(X27,hate,X25,X26)
& 'AuntAgatha' != 'Butler' ),
inference(rectify,[],[f7]) ).
fof(f10,plain,
( predicate1(sK1,live,sK0)
& modifier_pp(sK1,in,'DreadburyMansion')
& predicate2(sK2,kill,sK0,'AuntAgatha')
& ! [X3,X4] :
( X3 = 'AuntAgatha'
| X3 = 'Butler'
| X3 = 'Charles'
| ~ predicate1(X4,live,X3)
| ~ modifier_pp(X4,in,'DreadburyMansion') )
& ! [X5,X6,X7] :
( predicate2(sK3(X5,X6),hate,X5,X6)
| ~ predicate2(X7,kill,X5,X6) )
& ! [X9,X10,X11,X12] :
( ~ predicate2(X11,kill,X9,X10)
| ~ property2(X12,rich,comp_than,X10)
| X9 != X12 )
& ! [X13,X14] :
( ! [X15] : ~ predicate2(X15,hate,'Charles',X13)
| ~ predicate2(X14,hate,'AuntAgatha',X13) )
& ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X17] :
( predicate2(sK4(X17),hate,'AuntAgatha',X17)
| 'Butler' = X17 )
& ! [X19] :
( predicate2(sK5(X19),hate,'Butler',X19)
| ( property2(sK6(X19),rich,comp_than,'AuntAgatha')
& sK6(X19) = X19 ) )
& ! [X22,X23] :
( predicate2(sK7(X22),hate,'Butler',X22)
| ~ predicate2(X23,hate,'AuntAgatha',X22) )
& ! [X25,X27] : ~ predicate2(X27,hate,X25,sK8(X25))
& 'AuntAgatha' != 'Butler' ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X8,sK3(X5,X6)),skolemize(X18,sK4(X17)),skolemize(X20,sK5(X19)),skolemize(X21,sK6(X19)),skolemize(X24,sK7(X22)),skolemize(X26,sK8(X25))],[f9]) ).
fof(f11,plain,
'AuntAgatha' != 'Butler',
inference(cnf_transformation,[],[f10]) ).
fof(f12,plain,
! [X27,X25] : ~ predicate2(X27,hate,X25,sK8(X25)),
inference(cnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X22,X23] :
( predicate2(sK7(X22),hate,'Butler',X22)
| ~ predicate2(X23,hate,'AuntAgatha',X22) ),
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
! [X19] :
( sK6(X19) = X19
| predicate2(sK5(X19),hate,'Butler',X19) ),
inference(cnf_transformation,[],[f10]) ).
fof(f15,plain,
! [X19] :
( predicate2(sK5(X19),hate,'Butler',X19)
| property2(sK6(X19),rich,comp_than,'AuntAgatha') ),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X17] :
( predicate2(sK4(X17),hate,'AuntAgatha',X17)
| 'Butler' = X17 ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X14,X15,X13] :
( ~ predicate2(X15,hate,'Charles',X13)
| ~ predicate2(X14,hate,'AuntAgatha',X13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X10,X11,X9,X12] :
( ~ predicate2(X11,kill,X9,X10)
| ~ property2(X12,rich,comp_than,X10)
| X9 != X12 ),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
! [X6,X7,X5] :
( ~ predicate2(X7,kill,X5,X6)
| predicate2(sK3(X5,X6),hate,X5,X6) ),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X3,X4] :
( ~ modifier_pp(X4,in,'DreadburyMansion')
| 'Butler' = X3
| 'Charles' = X3
| ~ predicate1(X4,live,X3)
| 'AuntAgatha' = X3 ),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
predicate2(sK2,kill,sK0,'AuntAgatha'),
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
modifier_pp(sK1,in,'DreadburyMansion'),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
predicate1(sK1,live,sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f25,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X10,X11,X12] :
( ~ property2(X12,rich,comp_than,X10)
| ~ predicate2(X11,kill,X12,X10) ),
inference(equality_resolution,[],[f19]) ).
fof(f30,plain,
! [X0] : ~ predicate2(X0,hate,'AuntAgatha',sK8('Butler')),
inference(resolution,[],[f13,f12]) ).
fof(f31,plain,
property2(sK6(sK8('Butler')),rich,comp_than,'AuntAgatha'),
inference(resolution,[],[f15,f12]) ).
fof(f32,plain,
'Butler' = sK8('Butler'),
inference(resolution,[],[f30,f16]) ).
fof(f33,plain,
predicate2(sK3(sK0,'AuntAgatha'),hate,sK0,'AuntAgatha'),
inference(resolution,[],[f20,f22]) ).
fof(f35,plain,
! [X0] : ~ predicate2(X0,hate,'Butler','Butler'),
inference(superposition,[],[f12,f32]) ).
fof(f36,plain,
! [X0] :
( ~ predicate1(sK1,live,X0)
| 'Charles' = X0
| 'Butler' = X0
| 'AuntAgatha' = X0 ),
inference(resolution,[],[f21,f23]) ).
fof(f39,plain,
property2(sK6('Butler'),rich,comp_than,'AuntAgatha'),
inference(forward_demodulation,[],[f31,f32]) ).
fof(f41,plain,
( property2('Butler',rich,comp_than,'AuntAgatha')
| predicate2(sK5('Butler'),hate,'Butler','Butler') ),
inference(superposition,[],[f39,f14]) ).
fof(f42,plain,
property2('Butler',rich,comp_than,'AuntAgatha'),
inference(forward_subsumption_resolution,[],[f41,f35]) ).
fof(f43,plain,
! [X0] : ~ predicate2(X0,kill,'Butler','AuntAgatha'),
inference(resolution,[],[f42,f26]) ).
fof(f44,plain,
( 'Charles' = sK0
| 'Butler' = sK0
| 'AuntAgatha' = sK0 ),
inference(resolution,[],[f36,f24]) ).
fof(f46,definition,
( spl9_1
<=> 'AuntAgatha' = sK0 ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f48,plain,
( 'AuntAgatha' = sK0
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl9_2
<=> 'Butler' = sK0 ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f52,plain,
( 'Butler' = sK0
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,definition,
( spl9_3
<=> 'Charles' = sK0 ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f56,plain,
( 'Charles' = sK0
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
( spl9_1
| spl9_2
| spl9_3 ),
inference(avatar_split_clause,[],[f44,f54,f50,f46]) ).
fof(f59,plain,
( predicate2(sK2,kill,'Butler','AuntAgatha')
| ~ spl9_2 ),
inference(superposition,[],[f22,f52]) ).
fof(f64,plain,
( $false
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f59,f43]) ).
fof(f65,plain,
~ spl9_2,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f67,plain,
( predicate2(sK3('Charles','AuntAgatha'),hate,'Charles','AuntAgatha')
| ~ spl9_3 ),
inference(superposition,[],[f33,f56]) ).
fof(f72,plain,
( ! [X0] : ~ predicate2(X0,hate,'AuntAgatha','AuntAgatha')
| ~ spl9_3 ),
inference(resolution,[],[f67,f18]) ).
fof(f73,plain,
( 'AuntAgatha' = 'Butler'
| ~ spl9_3 ),
inference(resolution,[],[f72,f16]) ).
fof(f74,plain,
( $false
| ~ spl9_3 ),
inference(forward_subsumption_resolution,[],[f73,f11]) ).
fof(f75,plain,
~ spl9_3,
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f78,plain,
( predicate2(sK2,kill,'AuntAgatha','AuntAgatha')
| ~ spl9_1 ),
inference(superposition,[],[f22,f48]) ).
fof(f80,plain,
( $false
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f78,f25]) ).
fof(f81,plain,
~ spl9_1,
inference(avatar_contradiction_clause,[],[f80]) ).
cnf(s1,plain,
( spl9_1
| spl9_2
| spl9_3 ),
inference(sat_conversion,[],[f57]) ).
cnf(s2,plain,
~ spl9_2,
inference(sat_conversion,[],[f65]) ).
cnf(s3,plain,
~ spl9_3,
inference(sat_conversion,[],[f75]) ).
cnf(s4,plain,
~ spl9_1,
inference(sat_conversion,[],[f81]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2,s4]) ).
fof(f82,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Sun Sep 27 22:27:04 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.83 % (2818464)Detected formulas, will run a generic FOF schedule.
% 0.27/0.83 % (2818474)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=331957856:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.27/0.83 % (2818471)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1892832557:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.27/0.83 % (2818472)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1327376382:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.27/0.83 % (2818470)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2664916517:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.27/0.83 % (2818469)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2998585925:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.27/0.83 % (2818473)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1015346601:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.27/0.83 % (2818475)dis-21_1_sil=8000:lcm=predicate:random_seed=3286240741:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.27/0.83 % (2818473)Refutation not found, incomplete strategy
% 0.27/0.83 % (2818473)------------------------------
% 0.27/0.83 % (2818473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/0.83 % (2818472)Refutation not found, incomplete strategy
% 0.27/0.83 % (2818472)------------------------------
% 0.27/0.83 % (2818472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/0.83 % (2818473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.83 % (2818472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.83 % (2818473)CaDiCaL version: 2.1.3
% 0.27/0.83 % (2818473)Termination reason: Refutation not found, incomplete strategy
% 0.27/0.83 % (2818473)Time elapsed: 0.0000 s
% 0.27/0.83 % (2818472)CaDiCaL version: 2.1.3
% 0.27/0.83 % (2818473)Peak memory usage: 86 MB
% 0.27/0.83 % (2818472)Termination reason: Refutation not found, incomplete strategy
% 0.27/0.83 % (2818472)Time elapsed: 0.0000 s
% 0.27/0.83 % (2818472)Peak memory usage: 86 MB
% 0.27/0.83 % (2818475)Refutation not found, incomplete strategy
% 0.27/0.83 % (2818475)------------------------------
% 0.27/0.83 % (2818475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/0.83 % (2818475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.83 % (2818475)CaDiCaL version: 2.1.3
% 0.27/0.83 % (2818475)Termination reason: Refutation not found, incomplete strategy
% 0.27/0.83 % (2818475)Time elapsed: 0.001 s
% 0.27/0.83 % (2818475)Peak memory usage: 88 MB
% 0.27/0.83 % (2818475)Instructions burned: 1 (million)
% 0.27/0.83 % (2818474)First to succeed.
% 0.27/0.83 % (2818474)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2818464"
% 0.27/0.83 % (2818475)------------------------------
% 0.27/0.83 % (2818475)------------------------------
% 0.27/0.83 % (2818472)------------------------------
% 0.27/0.83 % (2818472)------------------------------
% 0.27/0.83 % (2818473)------------------------------
% 0.27/0.83 % (2818473)------------------------------
% 0.27/0.83 % (2818474)Refutation found. Thanks to Tanya!
% 0.27/0.83 % SZS status Theorem for theBenchmark
% 0.27/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.93 % (2818474)------------------------------
% 2.31/0.93 % (2818474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/0.93 % (2818474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.93 % (2818474)CaDiCaL version: 2.1.3
% 2.31/0.93 % (2818474)Termination reason: Refutation
% 2.31/0.93 % (2818474)Time elapsed: 0.003 s
% 2.31/0.93 % (2818474)Peak memory usage: 90 MB
% 2.31/0.93 % (2818474)Instructions burned: 6 (million)
% 2.31/0.93 % (2818474)------------------------------
% 2.31/0.93 % (2818474)------------------------------
% 2.31/0.93 % (2818464)Success in time 0.295 s
% 2.31/0.93 % Vampire exiting
%------------------------------------------------------------------------------