%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG057+2 : 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 : 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 12:35:53 PM UTC 2026
% Result : Theorem 5.82s 2.83s
% Output : Refutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 82 ( 26 unt; 5 def)
% Number of atoms : 219 ( 8 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 261 ( 124 ~; 117 |; 10 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2027) ).
fof(f58,axiom,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2052) ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f61,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(flattening,[],[f60]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f74]) ).
fof(f90,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f97]) ).
fof(f103,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f134,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f154,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f158,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f98]) ).
fof(f162,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f194,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f196,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f198,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f204,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f213,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f214,plain,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(cnf_transformation,[],[f57]) ).
fof(f215,plain,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f58]) ).
fof(f216,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f61]) ).
fof(f1119,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[],[f158,f215]) ).
fof(f47766,definition,
( spl2_76
<=> aScalar0(sdtasdt0(xE,xE)) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
fof(f47767,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f47766]) ).
fof(f47768,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| spl2_76 ),
inference(avatar_component_clause,[],[f47766]) ).
fof(f47774,definition,
( spl2_78
<=> sdtlseqdt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
fof(f47775,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f47774]) ).
fof(f47776,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| spl2_78 ),
inference(avatar_component_clause,[],[f47774]) ).
fof(f47778,definition,
( spl2_79
<=> aScalar0(sdtasdt0(xH,xH)) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
fof(f47779,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f47778]) ).
fof(f47780,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| spl2_79 ),
inference(avatar_component_clause,[],[f47778]) ).
fof(f47808,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| spl2_76 ),
inference(resolution,[],[f47768,f134]) ).
fof(f47809,plain,
( ~ aScalar0(xE)
| spl2_76 ),
inference(duplicate_literal_removal,[],[f47808]) ).
fof(f47810,plain,
( $false
| spl2_76 ),
inference(forward_subsumption_resolution,[],[f47809,f198]) ).
fof(f47811,plain,
spl2_76,
inference(avatar_contradiction_clause,[],[f47810]) ).
fof(f48583,plain,
( ~ aScalar0(xE)
| spl2_78 ),
inference(resolution,[],[f47776,f162]) ).
fof(f48592,plain,
( $false
| spl2_78 ),
inference(forward_subsumption_resolution,[],[f48583,f198]) ).
fof(f48593,plain,
spl2_78,
inference(avatar_contradiction_clause,[],[f48592]) ).
fof(f48609,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| spl2_79 ),
inference(resolution,[],[f47780,f134]) ).
fof(f48610,plain,
( ~ aScalar0(xH)
| spl2_79 ),
inference(duplicate_literal_removal,[],[f48609]) ).
fof(f48611,plain,
( $false
| spl2_79 ),
inference(forward_subsumption_resolution,[],[f48610,f204]) ).
fof(f48612,plain,
spl2_79,
inference(avatar_contradiction_clause,[],[f48611]) ).
fof(f66953,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xC,xD)) )
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f1119,f47779]) ).
fof(f66955,definition,
( spl2_87
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(definition,[new_symbols(definition,[spl2_87])],[avatar_definition]) ).
fof(f66957,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl2_87 ),
inference(avatar_component_clause,[],[f66955]) ).
fof(f66959,definition,
( spl2_88
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
fof(f66960,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f66959]) ).
fof(f66961,plain,
( ~ spl2_87
| spl2_88
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f66953,f47778,f66959,f66955]) ).
fof(f66962,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| spl2_87 ),
inference(resolution,[],[f66957,f134]) ).
fof(f66963,plain,
( ~ aScalar0(xD)
| spl2_87 ),
inference(forward_subsumption_resolution,[],[f66962,f194]) ).
fof(f66964,plain,
( $false
| spl2_87 ),
inference(forward_subsumption_resolution,[],[f66963,f196]) ).
fof(f66965,plain,
spl2_87,
inference(avatar_contradiction_clause,[],[f66964]) ).
fof(f68142,plain,
( sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ spl2_88 ),
inference(superposition,[],[f66960,f214]) ).
fof(f68252,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f68142,f216]) ).
fof(f68277,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f68252,f154]) ).
fof(f68301,plain,
( ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ spl2_78
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f68277,f47775]) ).
fof(f68303,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ spl2_78
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f68301,f213]) ).
fof(f68305,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ spl2_78
| ~ spl2_79
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f68303,f47779]) ).
fof(f68306,plain,
( $false
| ~ spl2_76
| ~ spl2_78
| ~ spl2_79
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f68305,f47767]) ).
fof(f68307,plain,
( ~ spl2_76
| ~ spl2_78
| ~ spl2_79
| ~ spl2_88 ),
inference(avatar_contradiction_clause,[],[f68306]) ).
cnf(s67,plain,
spl2_76,
inference(sat_conversion,[],[f47811]) ).
cnf(s71,plain,
spl2_78,
inference(sat_conversion,[],[f48593]) ).
cnf(s72,plain,
spl2_79,
inference(sat_conversion,[],[f48612]) ).
cnf(s84,plain,
( ~ spl2_79
| ~ spl2_87
| spl2_88 ),
inference(sat_conversion,[],[f66961]) ).
cnf(s85,plain,
spl2_87,
inference(sat_conversion,[],[f66965]) ).
cnf(s86,plain,
( ~ spl2_76
| ~ spl2_78
| ~ spl2_79
| ~ spl2_88 ),
inference(sat_conversion,[],[f68307]) ).
cnf(s87,plain,
( ~ spl2_79
| spl2_88 ),
inference(rat,[],[s84,s85]) ).
cnf(s88,plain,
spl2_88,
inference(rat,[],[s87,s72]) ).
cnf(s89,plain,
~ spl2_76,
inference(rat,[],[s86,s88,s72,s71]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s67,s89]) ).
fof(f68308,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG057+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 23:02:49 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 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
% 12.99/2.22 % (2862327)Will run a generic schedule for satisfiability detection.
% 12.99/2.22 % (2862333)% WARNING: option uhcvi not known.
% 12.99/2.22 % (2862337)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3911730078:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.99/2.22 % (2862334)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3397220878:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.99/2.22 % (2862335)dis+10_1_sil=32000:sp=arity:random_seed=622558271:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.99/2.22 % (2862332)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1359681342_2999 on theBenchmark for (2999ds/0Mi)
% 12.99/2.22 % (2862336)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2212301704:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.99/2.22 % (2862333)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2951338683:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.99/2.22 % (2862338)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=178266837:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.99/2.22 % TRYING [1]
% 12.99/2.22 % TRYING [2]
% 12.99/2.22 % TRYING [3]
% 12.99/2.22 % TRYING [4]
% 12.99/2.22 % (2862335)Instruction limit reached!
% 12.99/2.22 % (2862335)------------------------------
% 12.99/2.22 % (2862335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.99/2.22 % (2862335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/2.22 % (2862335)CaDiCaL version: 2.1.3
% 12.99/2.22 % (2862335)Termination reason: Instruction limit
% 12.99/2.22 % (2862335)Termination phase: Saturation
% 12.99/2.22 % (2862335)Time elapsed: 0.034 s
% 12.99/2.22 % (2862335)Peak memory usage: 12 MB
% 12.99/2.22 % (2862335)Instructions burned: 106 (million)
% 12.99/2.22 % (2862336)Instruction limit reached!
% 12.99/2.22 % (2862336)------------------------------
% 12.99/2.22 % (2862336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.99/2.22 % (2862336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/2.22 % (2862336)CaDiCaL version: 2.1.3
% 12.99/2.22 % (2862336)Termination reason: Instruction limit
% 12.99/2.22 % (2862336)Termination phase: Saturation
% 12.99/2.22 % (2862336)Time elapsed: 0.036 s
% 12.99/2.22 % (2862336)Peak memory usage: 13 MB
% 12.99/2.22 % (2862336)Instructions burned: 118 (million)
% 12.99/2.22 % (2862337)Instruction limit reached!
% 12.99/2.22 % (2862337)------------------------------
% 12.99/2.22 % (2862337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.99/2.22 % (2862337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/2.22 % (2862337)CaDiCaL version: 2.1.3
% 12.99/2.22 % (2862337)Termination reason: Instruction limit
% 12.99/2.22 % (2862337)Termination phase: Saturation
% 12.99/2.22 % (2862337)Time elapsed: 0.039 s
% 12.99/2.22 % (2862337)Peak memory usage: 13 MB
% 12.99/2.22 % (2862337)Instructions burned: 144 (million)
% 12.99/2.22 % TRYING [5]
% 12.99/2.22 % (2862346)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4000581169:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 12.99/2.22 % (2862347)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2944478197:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 12.99/2.22 % (2862338)Instruction limit reached!
% 12.99/2.22 % (2862338)------------------------------
% 12.99/2.22 % (2862338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.99/2.22 % (2862338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/2.22 % (2862338)CaDiCaL version: 2.1.3
% 12.99/2.22 % (2862338)Termination reason: Instruction limit
% 12.99/2.22 % (2862338)Termination phase: Saturation
% 12.99/2.22 % (2862338)Time elapsed: 0.048 s
% 12.99/2.22 % (2862338)Peak memory usage: 14 MB
% 12.99/2.22 % (2862338)Instructions burned: 160 (million)
% 12.99/2.22 % (2862348)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=3321213550:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 12.99/2.22 % TRYING [1]
% 12.99/2.22 % TRYING [2]
% 12.99/2.22 % TRYING [3]
% 12.99/2.22 % (2862351)ott-21_1_sil=16000:fs=off:random_seed=3827101948:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 12.99/2.22 % TRYING [4]
% 12.99/2.22 % (2862347)Instruction limit reached!
% 12.99/2.22 % (2862347)------------------------------
% 12.99/2.22 % (2862347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862347)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862347)Termination reason: Instruction limit
% 5.82/2.83 % (2862347)Termination phase: Saturation
% 5.82/2.83 % (2862347)Time elapsed: 0.035 s
% 5.82/2.83 % (2862347)Peak memory usage: 12 MB
% 5.82/2.83 % (2862347)Instructions burned: 147 (million)
% 5.82/2.83 % (2862354)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=261197022:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.82/2.83 % (2862351)Instruction limit reached!
% 5.82/2.83 % (2862351)------------------------------
% 5.82/2.83 % (2862351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862351)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862351)Termination reason: Instruction limit
% 5.82/2.83 % (2862351)Termination phase: Saturation
% 5.82/2.83 % (2862351)Time elapsed: 0.048 s
% 5.82/2.83 % (2862351)Peak memory usage: 13 MB
% 5.82/2.83 % (2862351)Instructions burned: 183 (million)
% 5.82/2.83 % (2862356)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=617641447:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.82/2.83 % TRYING [5]
% 5.82/2.83 % TRYING [1]
% 5.82/2.83 % TRYING [2]
% 5.82/2.83 % TRYING [6]
% 5.82/2.83 % TRYING [3]
% 5.82/2.83 % TRYING [4]
% 5.82/2.83 % (2862348)Instruction limit reached!
% 5.82/2.83 % (2862348)------------------------------
% 5.82/2.83 % (2862348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862348)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862348)Termination reason: Instruction limit
% 5.82/2.83 % (2862348)Termination phase: Saturation
% 5.82/2.83 % (2862348)Time elapsed: 0.213 s
% 5.82/2.83 % (2862348)Peak memory usage: 19 MB
% 5.82/2.83 % (2862348)Instructions burned: 685 (million)
% 5.82/2.83 % (2862354)Instruction limit reached!
% 5.82/2.83 % (2862354)------------------------------
% 5.82/2.83 % (2862354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862354)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862354)Termination reason: Instruction limit
% 5.82/2.83 % (2862354)Termination phase: Saturation
% 5.82/2.83 % (2862354)Time elapsed: 0.169 s
% 5.82/2.83 % (2862354)Peak memory usage: 13 MB
% 5.82/2.83 % (2862354)Instructions burned: 480 (million)
% 5.82/2.83 % TRYING [6]
% 5.82/2.83 % (2862366)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3492212436:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.82/2.83 % (2862367)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3423412538:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 5.82/2.83 % (2862346)Instruction limit reached!
% 5.82/2.83 % (2862346)------------------------------
% 5.82/2.83 % (2862346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862346)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862346)Termination reason: Instruction limit
% 5.82/2.83 % (2862346)Termination phase: Finite model building constraint generation
% 5.82/2.83 % (2862346)Time elapsed: 0.244 s
% 5.82/2.83 % (2862346)Peak memory usage: 37 MB
% 5.82/2.83 % (2862346)Instructions burned: 717 (million)
% 5.82/2.83 % (2862371)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=3090051862:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 5.82/2.83 % TRYING [5]
% 5.82/2.83 % (2862356)Instruction limit reached!
% 5.82/2.83 % (2862356)------------------------------
% 5.82/2.83 % (2862356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862356)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862356)Termination reason: Instruction limit
% 5.82/2.83 % (2862356)Termination phase: Finite model building constraint generation
% 5.82/2.83 % (2862356)Time elapsed: 0.273 s
% 5.82/2.83 % (2862356)Peak memory usage: 20 MB
% 5.82/2.83 % (2862356)Instructions burned: 866 (million)
% 5.82/2.83 % (2862383)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=663383366:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 5.82/2.83 % TRYING [7]
% 5.82/2.83 % (2862371)Instruction limit reached!
% 5.82/2.83 % (2862371)------------------------------
% 5.82/2.83 % (2862371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862371)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862371)Termination reason: Instruction limit
% 5.82/2.83 % (2862371)Termination phase: Saturation
% 5.82/2.83 % (2862371)Time elapsed: 0.331 s
% 5.82/2.83 % (2862371)Peak memory usage: 20 MB
% 5.82/2.83 % (2862371)Instructions burned: 698 (million)
% 5.82/2.83 % (2862391)fmb+10_1_sil=64000:random_seed=4256031989:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.82/2.83 % TRYING [1]
% 5.82/2.83 % TRYING [2]
% 5.82/2.83 % TRYING [3]
% 5.82/2.83 % TRYING [4]
% 5.82/2.83 % (2862367)Instruction limit reached!
% 5.82/2.83 % (2862367)------------------------------
% 5.82/2.83 % (2862367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862367)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862367)Termination reason: Instruction limit
% 5.82/2.83 % (2862367)Termination phase: Finite model building constraint generation
% 5.82/2.83 % (2862367)Time elapsed: 0.450 s
% 5.82/2.83 % (2862367)Peak memory usage: 107 MB
% 5.82/2.83 % (2862367)Instructions burned: 889 (million)
% 5.82/2.83 % (2862396)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1850158971:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 5.82/2.83 % (2862366)Instruction limit reached!
% 5.82/2.83 % (2862366)------------------------------
% 5.82/2.83 % (2862366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862366)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862366)Termination reason: Instruction limit
% 5.82/2.83 % (2862366)Termination phase: Saturation
% 5.82/2.83 % (2862366)Time elapsed: 0.510 s
% 5.82/2.83 % (2862366)Peak memory usage: 21 MB
% 5.82/2.83 % (2862366)Instructions burned: 1179 (million)
% 5.82/2.83 % TRYING [20]
% 5.82/2.83 % (2862399)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=171539897:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 5.82/2.83 % TRYING [8]
% 5.82/2.83 % TRYING [5]
% 5.82/2.83 % (2862383)Instruction limit reached!
% 5.82/2.83 % (2862383)------------------------------
% 5.82/2.83 % (2862383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862383)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862383)Termination reason: Instruction limit
% 5.82/2.83 % (2862383)Termination phase: Saturation
% 5.82/2.83 % (2862383)Time elapsed: 0.434 s
% 5.82/2.83 % (2862383)Peak memory usage: 21 MB
% 5.82/2.83 % (2862383)Instructions burned: 881 (million)
% 5.82/2.83 % (2862404)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1979329201:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 5.82/2.83 % (2862399)Instruction limit reached!
% 5.82/2.83 % (2862399)------------------------------
% 5.82/2.83 % (2862399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862399)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862399)Termination reason: Instruction limit
% 5.82/2.83 % (2862399)Termination phase: Finite model building constraint generation
% 5.82/2.83 % (2862399)Time elapsed: 0.329 s
% 5.82/2.83 % (2862399)Peak memory usage: 63 MB
% 5.82/2.83 % (2862399)Instructions burned: 923 (million)
% 5.82/2.83 % (2862411)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2532004790:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 5.82/2.83 % TRYING [8]
% 5.82/2.83 % TRYING [6]
% 5.82/2.83 % (2862411)Instruction limit reached!
% 5.82/2.83 % (2862411)------------------------------
% 5.82/2.83 % (2862411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862411)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862411)Termination reason: Instruction limit
% 5.82/2.83 % (2862411)Termination phase: Saturation
% 5.82/2.83 % (2862411)Time elapsed: 0.663 s
% 5.82/2.83 % (2862411)Peak memory usage: 17 MB
% 5.82/2.83 % (2862411)Instructions burned: 1473 (million)
% 5.82/2.83 % (2862421)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=510490421:i=6324_2981 on theBenchmark for (2981ds/6324Mi)
% 5.82/2.83 % (2862421)Cannot represent all propositional literals internally
% 5.82/2.83 % (2862421)Refutation not found, incomplete strategy
% 5.82/2.83 % (2862421)------------------------------
% 5.82/2.83 % (2862421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862421)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862421)Termination reason: Refutation not found, incomplete strategy
% 5.82/2.83 % (2862421)Time elapsed: 0.005 s
% 5.82/2.83 % (2862421)Peak memory usage: 11 MB
% 5.82/2.83 % (2862421)Instructions burned: 15 (million)
% 5.82/2.83 % (2862421)------------------------------
% 5.82/2.83 % (2862421)------------------------------
% 5.82/2.83 % (2862423)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3363605925:fmbsr=2.30978:i=2174_2980 on theBenchmark for (2980ds/2174Mi)
% 5.82/2.83 % TRYING [16]
% 5.82/2.83 % (2862404) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2862327-2862404"...
% 5.82/2.83 % (2862423)Instruction limit reached!
% 5.82/2.83 % (2862423)------------------------------
% 5.82/2.83 % (2862423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862423)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862423)Termination reason: Instruction limit
% 5.82/2.83 % (2862423)Termination phase: Finite model building constraint generation
% 5.82/2.83 % (2862423)Time elapsed: 0.526 s
% 5.82/2.83 % (2862423)Peak memory usage: 145 MB
% 5.82/2.83 % (2862423)Instructions burned: 2175 (million)
% 5.82/2.83 % (2862404)...printing done.
% 5.82/2.83 % (2862404)Refutation found. Thanks to Tanya!
% 5.82/2.83 % SZS status Theorem for theBenchmark
% 5.82/2.83 % SZS output start Proof for theBenchmark
% See solution above
% 5.82/2.83 % (2862404)------------------------------
% 5.82/2.83 % (2862404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.83 % (2862404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.83 % (2862404)CaDiCaL version: 2.1.3
% 5.82/2.83 % (2862404)Termination reason: Refutation
% 5.82/2.83 % (2862404)Time elapsed: 1.526 s
% 5.82/2.83 % (2862404)Peak memory usage: 44 MB
% 5.82/2.83 % (2862404)Instructions burned: 3397 (million)
% 5.82/2.83 % (2862327)Success in time 2.505 s
% 5.82/2.83 % Vampire exiting
%------------------------------------------------------------------------------