%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM620+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:25:02 PM UTC 2026
% Result : Theorem 8.51s 1.89s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 74 ( 18 unt; 4 def)
% Number of atoms : 175 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 179 ( 78 ~; 63 |; 18 &)
% ( 11 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 42 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f111,axiom,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
fof(f115,axiom,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
fof(f116,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
fof(f117,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f118,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negated_conjecture,[status(cth)],[f117]) ).
fof(f124,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f129,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f130,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f154,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f188]) ).
fof(f233,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f253,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(ennf_transformation,[],[f118]) ).
fof(f256,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f260,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f263,plain,
! [X2,X0,X1] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f264,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f294,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f297,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f325,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(X1,X0)
| szmzizndt0(X0) != X1 ),
inference(cnf_transformation,[],[f189]) ).
fof(f412,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f413,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f462,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f469,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f470,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f116]) ).
fof(f471,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f253]) ).
fof(f472,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f253]) ).
fof(f473,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f256]) ).
fof(f475,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f260]) ).
fof(f489,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f325]) ).
fof(f520,plain,
~ isCountable0(slcrc0),
inference(forward_subsumption_resolution,[],[f475,f473]) ).
fof(f693,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,xm) ),
inference(superposition,[],[f489,f470]) ).
fof(f725,plain,
! [X0] :
( ~ aElementOf0(xx,X0)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(resolution,[],[f263,f472]) ).
fof(f741,definition,
( spl25_9
<=> aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
introduced(definition,[new_symbols(definition,[spl25_9])],[avatar_definition]) ).
fof(f743,plain,
( ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| spl25_9 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,definition,
( spl25_10
<=> ! [X0] :
( ~ aElementOf0(xx,X0)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) ),
introduced(definition,[new_symbols(definition,[spl25_10])],[avatar_definition]) ).
fof(f746,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(xx,X0) )
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f747,plain,
( ~ spl25_9
| spl25_10 ),
inference(avatar_split_clause,[],[f725,f745,f741]) ).
fof(f767,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),X0)
| ~ aSet0(X0) )
| spl25_9 ),
inference(resolution,[],[f743,f264]) ).
fof(f771,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| spl25_9 ),
inference(resolution,[],[f767,f413]) ).
fof(f775,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| spl25_9 ),
inference(forward_subsumption_resolution,[],[f771,f294]) ).
fof(f776,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl25_9 ),
inference(resolution,[],[f775,f297]) ).
fof(f780,plain,
( $false
| spl25_9 ),
inference(forward_subsumption_resolution,[],[f776,f462]) ).
fof(f781,plain,
spl25_9,
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f788,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ~ spl25_10 ),
inference(resolution,[],[f746,f471]) ).
fof(f9716,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,xm)
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f693,f788]) ).
fof(f9720,definition,
( spl25_124
<=> slcrc0 = sdtlpdtrp0(xN,xm) ),
introduced(definition,[new_symbols(definition,[spl25_124])],[avatar_definition]) ).
fof(f9722,plain,
( slcrc0 = sdtlpdtrp0(xN,xm)
| ~ spl25_124 ),
inference(avatar_component_clause,[],[f9720]) ).
fof(f9724,definition,
( spl25_125
<=> aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl25_125])],[avatar_definition]) ).
fof(f9726,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| spl25_125 ),
inference(avatar_component_clause,[],[f9724]) ).
fof(f9727,plain,
( spl25_124
| ~ spl25_125
| ~ spl25_10 ),
inference(avatar_split_clause,[],[f9716,f745,f9724,f9720]) ).
fof(f9728,plain,
( ~ aElementOf0(xm,szNzAzT0)
| spl25_125 ),
inference(resolution,[],[f9726,f413]) ).
fof(f9731,plain,
( $false
| spl25_125 ),
inference(forward_subsumption_resolution,[],[f9728,f469]) ).
fof(f9732,plain,
spl25_125,
inference(avatar_contradiction_clause,[],[f9731]) ).
fof(f9757,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ spl25_124 ),
inference(superposition,[],[f412,f9722]) ).
fof(f9796,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ spl25_124 ),
inference(forward_subsumption_resolution,[],[f9757,f520]) ).
fof(f9817,plain,
( $false
| ~ spl25_124 ),
inference(forward_subsumption_resolution,[],[f9796,f469]) ).
fof(f9818,plain,
~ spl25_124,
inference(avatar_contradiction_clause,[],[f9817]) ).
cnf(s7,plain,
( ~ spl25_9
| spl25_10 ),
inference(sat_conversion,[],[f747]) ).
cnf(s8,plain,
spl25_9,
inference(sat_conversion,[],[f781]) ).
cnf(s114,plain,
( ~ spl25_10
| spl25_124
| ~ spl25_125 ),
inference(sat_conversion,[],[f9727]) ).
cnf(s115,plain,
spl25_125,
inference(sat_conversion,[],[f9732]) ).
cnf(s118,plain,
~ spl25_124,
inference(sat_conversion,[],[f9818]) ).
cnf(s119,plain,
~ spl25_10,
inference(rat,[],[s114,s115,s118]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s7,s119,s8]) ).
fof(f9823,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM620+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:48:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 8.51/1.89 % (1296945)Will run a generic schedule for satisfiability detection.
% 8.51/1.89 % (1296950)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=237009283_2999 on theBenchmark for (2999ds/0Mi)
% 8.51/1.89 % (1296951)% WARNING: option uhcvi not known.
% 8.51/1.89 % (1296952)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2409149751:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.51/1.89 % (1296951)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=967671138:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.51/1.89 % (1296953)dis+10_1_sil=32000:sp=arity:random_seed=781460462:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.51/1.89 % (1296954)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4105977215:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.51/1.89 % (1296956)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3471677539:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.51/1.89 % (1296955)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3565475505:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.51/1.89 % TRYING [1]
% 8.51/1.89 % TRYING [2]
% 8.51/1.89 % TRYING [3]
% 8.51/1.89 % TRYING [4]
% 8.51/1.89 % TRYING [5]
% 8.51/1.89 % (1296953)Instruction limit reached!
% 8.51/1.89 % (1296953)------------------------------
% 8.51/1.89 % (1296953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296953)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296953)Termination reason: Instruction limit
% 8.51/1.89 % (1296953)Termination phase: Saturation
% 8.51/1.89 % (1296953)Time elapsed: 0.067 s
% 8.51/1.89 % (1296953)Peak memory usage: 13 MB
% 8.51/1.89 % (1296953)Instructions burned: 103 (million)
% 8.51/1.89 % (1296954)Instruction limit reached!
% 8.51/1.89 % (1296954)------------------------------
% 8.51/1.89 % (1296954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296954)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296954)Termination reason: Instruction limit
% 8.51/1.89 % (1296954)Termination phase: Saturation
% 8.51/1.89 % (1296954)Time elapsed: 0.074 s
% 8.51/1.89 % (1296954)Peak memory usage: 13 MB
% 8.51/1.89 % (1296954)Instructions burned: 117 (million)
% 8.51/1.89 % (1296955)Instruction limit reached!
% 8.51/1.89 % (1296955)------------------------------
% 8.51/1.89 % (1296955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296955)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296955)Termination reason: Instruction limit
% 8.51/1.89 % (1296955)Termination phase: Saturation
% 8.51/1.89 % (1296955)Time elapsed: 0.078 s
% 8.51/1.89 % (1296955)Peak memory usage: 13 MB
% 8.51/1.89 % (1296955)Instructions burned: 132 (million)
% 8.51/1.89 % (1296964)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1574321777:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.51/1.89 % (1296965)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=312117114:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.51/1.89 % (1296956)Instruction limit reached!
% 8.51/1.89 % (1296956)------------------------------
% 8.51/1.89 % (1296956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296956)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296956)Termination reason: Instruction limit
% 8.51/1.89 % (1296956)Termination phase: Saturation
% 8.51/1.89 % (1296956)Time elapsed: 0.097 s
% 8.51/1.89 % (1296956)Peak memory usage: 15 MB
% 8.51/1.89 % (1296956)Instructions burned: 160 (million)
% 8.51/1.89 % (1296966)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1934885561:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.51/1.89 % TRYING [1]
% 8.51/1.89 % TRYING [2]
% 8.51/1.89 % (1296969)ott-21_1_sil=16000:fs=off:random_seed=1024314580:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.51/1.89 % TRYING [3]
% 8.51/1.89 % TRYING [4]
% 8.51/1.89 % TRYING [6]
% 8.51/1.89 % (1296965)Instruction limit reached!
% 8.51/1.89 % (1296965)------------------------------
% 8.51/1.89 % (1296965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296965)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296965)Termination reason: Instruction limit
% 8.51/1.89 % (1296965)Termination phase: Saturation
% 8.51/1.89 % (1296965)Time elapsed: 0.083 s
% 8.51/1.89 % (1296965)Peak memory usage: 14 MB
% 8.51/1.89 % (1296965)Instructions burned: 132 (million)
% 8.51/1.89 % (1296972)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3058662032:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.51/1.89 % TRYING [5]
% 8.51/1.89 % (1296969)Instruction limit reached!
% 8.51/1.89 % (1296969)------------------------------
% 8.51/1.89 % (1296969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296969)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296969)Termination reason: Instruction limit
% 8.51/1.89 % (1296969)Termination phase: Saturation
% 8.51/1.89 % (1296969)Time elapsed: 0.102 s
% 8.51/1.89 % (1296969)Peak memory usage: 13 MB
% 8.51/1.89 % (1296969)Instructions burned: 181 (million)
% 8.51/1.89 % (1296974)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1542051117:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.51/1.89 % TRYING [1]
% 8.51/1.89 % TRYING [2]
% 8.51/1.89 % TRYING [3]
% 8.51/1.89 % (1296964)Instruction limit reached!
% 8.51/1.89 % (1296964)------------------------------
% 8.51/1.89 % (1296964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296964)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296964)Termination reason: Instruction limit
% 8.51/1.89 % (1296964)Termination phase: Finite model building constraint generation
% 8.51/1.89 % (1296964)Time elapsed: 0.286 s
% 8.51/1.89 % (1296964)Peak memory usage: 35 MB
% 8.51/1.89 % (1296964)Instructions burned: 714 (million)
% 8.51/1.89 % TRYING [7]
% 8.51/1.89 % (1296976)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2942932052:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 8.51/1.89 % TRYING [4]
% 8.51/1.89 % (1296966)Instruction limit reached!
% 8.51/1.89 % (1296966)------------------------------
% 8.51/1.89 % (1296966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296966)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296966)Termination reason: Instruction limit
% 8.51/1.89 % (1296966)Termination phase: Saturation
% 8.51/1.89 % (1296966)Time elapsed: 0.397 s
% 8.51/1.89 % (1296966)Peak memory usage: 18 MB
% 8.51/1.89 % (1296966)Instructions burned: 685 (million)
% 8.51/1.89 % (1296978)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2367811220:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.51/1.89 % (1296972)Instruction limit reached!
% 8.51/1.89 % (1296972)------------------------------
% 8.51/1.89 % (1296972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296972)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296972)Termination reason: Instruction limit
% 8.51/1.89 % (1296972)Termination phase: Saturation
% 8.51/1.89 % (1296972)Time elapsed: 0.332 s
% 8.51/1.89 % (1296972)Peak memory usage: 15 MB
% 8.51/1.89 % (1296972)Instructions burned: 477 (million)
% 8.51/1.89 % (1296980)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2312750817:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.51/1.89 % (1296974)Instruction limit reached!
% 8.51/1.89 % (1296974)------------------------------
% 8.51/1.89 % (1296974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296974)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296974)Termination reason: Instruction limit
% 8.51/1.89 % (1296974)Termination phase: Finite model building SAT solving
% 8.51/1.89 % (1296974)Time elapsed: 0.362 s
% 8.51/1.89 % (1296974)Peak memory usage: 23 MB
% 8.51/1.89 % (1296974)Instructions burned: 867 (million)
% 8.51/1.89 % (1296982)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1624948926:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.51/1.89 % TRYING [14]
% 8.51/1.89 % (1296978)Instruction limit reached!
% 8.51/1.89 % (1296978)------------------------------
% 8.51/1.89 % (1296978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296978)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296978)Termination reason: Instruction limit
% 8.51/1.89 % (1296978)Termination phase: Finite model building constraint generation
% 8.51/1.89 % (1296978)Time elapsed: 0.388 s
% 8.51/1.89 % (1296978)Peak memory usage: 95 MB
% 8.51/1.89 % (1296978)Instructions burned: 890 (million)
% 8.51/1.89 % TRYING [8]
% 8.51/1.89 % (1296980)Instruction limit reached!
% 8.51/1.89 % (1296980)------------------------------
% 8.51/1.89 % (1296980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296980)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296980)Termination reason: Instruction limit
% 8.51/1.89 % (1296980)Termination phase: Saturation
% 8.51/1.89 % (1296980)Time elapsed: 0.383 s
% 8.51/1.89 % (1296980)Peak memory usage: 25 MB
% 8.51/1.89 % (1296980)Instructions burned: 694 (million)
% 8.51/1.89 % (1296984)fmb+10_1_sil=64000:random_seed=3578531830:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 8.51/1.89 % TRYING [1]
% 8.51/1.89 % (1296986)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=509937929:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.51/1.89 % TRYING [2]
% 8.51/1.89 % TRYING [20]
% 8.51/1.89 % TRYING [3]
% 8.51/1.89 % TRYING [4]
% 8.51/1.89 % (1296982)Instruction limit reached!
% 8.51/1.89 % (1296982)------------------------------
% 8.51/1.89 % (1296982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296982)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296982)Termination reason: Instruction limit
% 8.51/1.89 % (1296982)Termination phase: Saturation
% 8.51/1.89 % (1296982)Time elapsed: 0.487 s
% 8.51/1.89 % (1296982)Peak memory usage: 21 MB
% 8.51/1.89 % (1296982)Instructions burned: 879 (million)
% 8.51/1.89 % (1296988)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3722431496:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 8.51/1.89 % (1296976)Instruction limit reached!
% 8.51/1.89 % (1296976)------------------------------
% 8.51/1.89 % (1296976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296976)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296976)Termination reason: Instruction limit
% 8.51/1.89 % (1296976)Termination phase: Saturation
% 8.51/1.89 % (1296976)Time elapsed: 0.741 s
% 8.51/1.89 % (1296976)Peak memory usage: 26 MB
% 8.51/1.89 % (1296976)Instructions burned: 1182 (million)
% 8.51/1.89 % TRYING [8]
% 8.51/1.89 % (1296990)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2437785435:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 8.51/1.89 % TRYING [5]
% 8.51/1.89 % (1296990) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1296945-1296990"...
% 8.51/1.89 % (1296990)...printing done.
% 8.51/1.89 % (1296990)Refutation found. Thanks to Tanya!
% 8.51/1.89 % SZS status Theorem for theBenchmark
% 8.51/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 8.51/1.89 % (1296990)------------------------------
% 8.51/1.89 % (1296990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.89 % (1296990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.89 % (1296990)CaDiCaL version: 2.1.3
% 8.51/1.89 % (1296990)Termination reason: Refutation
% 8.51/1.89 % (1296990)Time elapsed: 0.247 s
% 8.51/1.89 % (1296990)Peak memory usage: 16 MB
% 8.51/1.89 % (1296990)Instructions burned: 390 (million)
% 8.51/1.89 % (1296945)Success in time 1.47 s
% 8.51/1.89 % Vampire exiting
%------------------------------------------------------------------------------