%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG073+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:35:57 PM UTC 2026
% Result : Theorem 27.43s 4.39s
% Output : Refutation 27.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 83 ( 22 unt; 5 def)
% Number of atoms : 217 ( 32 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 248 ( 114 ~; 112 |; 11 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X0)
& sdtlseqdt0(sz0z00,X1)
& sdtasdt0(X0,X0) = sdtasdt0(X1,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f59,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2405) ).
fof(f62,axiom,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2628) ).
fof(f63,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2654) ).
fof(f64,conjecture,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f65,negated_conjecture,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f66,plain,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(flattening,[],[f65]) ).
fof(f77,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f80,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f79]) ).
fof(f96,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f97,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f96]) ).
fof(f109,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f110,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f109]) ).
fof(f138,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f139,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f160,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f97]) ).
fof(f168,plain,
! [X0,X1] :
( sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f110]) ).
fof(f211,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f213,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f215,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f221,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[],[f59]) ).
fof(f224,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f62]) ).
fof(f225,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f62]) ).
fof(f226,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[],[f63]) ).
fof(f227,plain,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(cnf_transformation,[],[f66]) ).
fof(f690,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
inference(resolution,[],[f226,f160]) ).
fof(f691,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
inference(forward_subsumption_resolution,[],[f690,f221]) ).
fof(f27939,definition,
( spl2_37
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
fof(f27940,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f27939]) ).
fof(f27941,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_37 ),
inference(avatar_component_clause,[],[f27939]) ).
fof(f27943,definition,
( spl2_38
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
fof(f27944,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f27943]) ).
fof(f27945,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_38 ),
inference(avatar_component_clause,[],[f27943]) ).
fof(f27950,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_37 ),
inference(resolution,[],[f27941,f138]) ).
fof(f27951,plain,
( ~ aScalar0(xS)
| spl2_37 ),
inference(forward_subsumption_resolution,[],[f27950,f211]) ).
fof(f27952,plain,
( $false
| spl2_37 ),
inference(forward_subsumption_resolution,[],[f27951,f215]) ).
fof(f27953,plain,
spl2_37,
inference(avatar_contradiction_clause,[],[f27952]) ).
fof(f28522,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_38 ),
inference(resolution,[],[f27945,f138]) ).
fof(f28523,plain,
( ~ aScalar0(xP)
| spl2_38 ),
inference(duplicate_literal_removal,[],[f28522]) ).
fof(f28524,plain,
( $false
| spl2_38 ),
inference(forward_subsumption_resolution,[],[f28523,f213]) ).
fof(f28525,plain,
spl2_38,
inference(avatar_contradiction_clause,[],[f28524]) ).
fof(f50718,definition,
( spl2_56
<=> sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
fof(f50720,plain,
( sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f50718]) ).
fof(f50722,definition,
( spl2_57
<=> aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_57])],[avatar_definition]) ).
fof(f50724,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| spl2_57 ),
inference(avatar_component_clause,[],[f50722]) ).
fof(f50726,definition,
( spl2_58
<=> aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
fof(f50728,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| spl2_58 ),
inference(avatar_component_clause,[],[f50726]) ).
fof(f50729,plain,
( spl2_56
| ~ spl2_57
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f691,f50726,f50722,f50718]) ).
fof(f51643,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| spl2_57 ),
inference(resolution,[],[f50724,f139]) ).
fof(f51644,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_57 ),
inference(duplicate_literal_removal,[],[f51643]) ).
fof(f51645,plain,
( $false
| ~ spl2_37
| spl2_57 ),
inference(forward_subsumption_resolution,[],[f51644,f27940]) ).
fof(f51646,plain,
( ~ spl2_37
| spl2_57 ),
inference(avatar_contradiction_clause,[],[f51645]) ).
fof(f52596,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| spl2_58 ),
inference(resolution,[],[f50728,f139]) ).
fof(f52597,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_58 ),
inference(duplicate_literal_removal,[],[f52596]) ).
fof(f52598,plain,
( $false
| ~ spl2_38
| spl2_58 ),
inference(forward_subsumption_resolution,[],[f52597,f27944]) ).
fof(f52599,plain,
( ~ spl2_38
| spl2_58 ),
inference(avatar_contradiction_clause,[],[f52598]) ).
fof(f54481,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| sdtpldt0(xR,xS) = X0 )
| ~ spl2_56 ),
inference(superposition,[],[f168,f50720]) ).
fof(f54523,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| sdtpldt0(xR,xS) = X0 )
| ~ spl2_37
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f54481,f27940]) ).
fof(f54534,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtpldt0(xR,xS) = X0 )
| ~ spl2_37
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f54523,f225]) ).
fof(f65920,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| sdtpldt0(xP,xP) = sdtpldt0(xR,xS)
| ~ spl2_37
| ~ spl2_56 ),
inference(equality_resolution,[],[f54534]) ).
fof(f65921,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| sdtpldt0(xP,xP) = sdtpldt0(xR,xS)
| ~ spl2_37
| ~ spl2_38
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f65920,f27944]) ).
fof(f65922,plain,
( sdtpldt0(xP,xP) = sdtpldt0(xR,xS)
| ~ spl2_37
| ~ spl2_38
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f65921,f224]) ).
fof(f65923,plain,
( $false
| ~ spl2_37
| ~ spl2_38
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f65922,f227]) ).
fof(f65924,plain,
( ~ spl2_37
| ~ spl2_38
| ~ spl2_56 ),
inference(avatar_contradiction_clause,[],[f65923]) ).
cnf(s42,plain,
spl2_37,
inference(sat_conversion,[],[f27953]) ).
cnf(s43,plain,
spl2_38,
inference(sat_conversion,[],[f28525]) ).
cnf(s57,plain,
( spl2_56
| ~ spl2_57
| ~ spl2_58 ),
inference(sat_conversion,[],[f50729]) ).
cnf(s58,plain,
( ~ spl2_37
| spl2_57 ),
inference(sat_conversion,[],[f51646]) ).
cnf(s59,plain,
( ~ spl2_38
| spl2_58 ),
inference(sat_conversion,[],[f52599]) ).
cnf(s71,plain,
( ~ spl2_37
| ~ spl2_38
| ~ spl2_56 ),
inference(sat_conversion,[],[f65924]) ).
cnf(s78,plain,
spl2_58,
inference(rat,[],[s59,s43]) ).
cnf(s79,plain,
~ spl2_56,
inference(rat,[],[s71,s43,s42]) ).
cnf(s80,plain,
spl2_57,
inference(rat,[],[s58,s42]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s57,s78,s80,s79]) ).
fof(f65925,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG073+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:10:33 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.07/3.48 % (3512261)Will run a generic schedule for satisfiability detection.
% 21.07/3.48 % (3512270)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3119629923:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 21.07/3.48 % (3512267)% WARNING: option uhcvi not known.
% 21.07/3.48 % (3512269)dis+10_1_sil=32000:sp=arity:random_seed=2774058230:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 21.07/3.48 % (3512266)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1992998652_2999 on theBenchmark for (2999ds/0Mi)
% 21.07/3.48 % (3512268)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4002548794:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 21.07/3.48 % (3512267)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=728762840:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 21.07/3.48 % (3512271)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=630727758:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 21.07/3.48 % TRYING [1]
% 21.07/3.48 % TRYING [2]
% 21.07/3.48 % (3512272)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3258028994:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 21.07/3.48 % TRYING [3]
% 21.07/3.48 % TRYING [4]
% 21.07/3.48 % (3512270)Instruction limit reached!
% 21.07/3.48 % (3512270)------------------------------
% 21.07/3.48 % (3512270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.07/3.48 % (3512270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.07/3.48 % (3512270)CaDiCaL version: 2.1.3
% 21.07/3.48 % (3512270)Termination reason: Instruction limit
% 21.07/3.48 % (3512270)Termination phase: Saturation
% 21.07/3.48 % (3512270)Time elapsed: 0.039 s
% 21.07/3.48 % (3512270)Peak memory usage: 13 MB
% 21.07/3.48 % (3512270)Instructions burned: 119 (million)
% 21.07/3.48 % (3512280)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=91509137:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 21.07/3.48 % TRYING [1]
% 21.07/3.48 % TRYING [2]
% 21.07/3.48 % TRYING [3]
% 21.07/3.48 % TRYING [4]
% 21.07/3.48 % (3512269)Instruction limit reached!
% 21.07/3.48 % (3512269)------------------------------
% 21.07/3.48 % (3512269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.07/3.48 % (3512269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.07/3.48 % (3512269)CaDiCaL version: 2.1.3
% 21.07/3.48 % (3512269)Termination reason: Instruction limit
% 21.07/3.48 % (3512269)Termination phase: Saturation
% 21.07/3.48 % (3512269)Time elapsed: 0.064 s
% 21.07/3.48 % (3512269)Peak memory usage: 13 MB
% 21.07/3.48 % (3512269)Instructions burned: 103 (million)
% 21.07/3.48 % (3512271)Instruction limit reached!
% 21.07/3.48 % (3512271)------------------------------
% 21.07/3.48 % (3512271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.07/3.48 % (3512271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.07/3.48 % (3512271)CaDiCaL version: 2.1.3
% 21.07/3.48 % (3512271)Termination reason: Instruction limit
% 21.07/3.48 % (3512271)Termination phase: Saturation
% 21.07/3.48 % (3512271)Time elapsed: 0.067 s
% 21.07/3.48 % (3512271)Peak memory usage: 13 MB
% 21.07/3.48 % (3512271)Instructions burned: 131 (million)
% 21.07/3.48 % (3512292)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3697280481:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 21.07/3.48 % TRYING [5]
% 21.07/3.48 % TRYING [5]
% 21.07/3.48 % (3512297)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=1225680276:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 21.07/3.48 % (3512272)Instruction limit reached!
% 21.07/3.48 % (3512272)------------------------------
% 21.07/3.48 % (3512272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.07/3.48 % (3512272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.07/3.48 % (3512272)CaDiCaL version: 2.1.3
% 21.07/3.48 % (3512272)Termination reason: Instruction limit
% 21.07/3.48 % (3512272)Termination phase: Saturation
% 21.07/3.48 % (3512272)Time elapsed: 0.109 s
% 21.07/3.48 % (3512272)Peak memory usage: 14 MB
% 21.07/3.48 % (3512272)Instructions burned: 160 (million)
% 21.07/3.48 % (3512313)ott-21_1_sil=16000:fs=off:random_seed=3982615010:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 21.07/3.48 % (3512292)Instruction limit reached!
% 21.07/3.48 % (3512292)------------------------------
% 21.07/3.48 % (3512292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512292)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512292)Termination reason: Instruction limit
% 27.43/4.39 % (3512292)Termination phase: Saturation
% 27.43/4.39 % (3512292)Time elapsed: 0.061 s
% 27.43/4.39 % (3512292)Peak memory usage: 12 MB
% 27.43/4.39 % (3512292)Instructions burned: 133 (million)
% 27.43/4.39 % (3512326)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=807326478:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 27.43/4.39 % TRYING [6]
% 27.43/4.39 % (3512280)Instruction limit reached!
% 27.43/4.39 % (3512280)------------------------------
% 27.43/4.39 % (3512280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512280)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512280)Termination reason: Instruction limit
% 27.43/4.39 % (3512280)Termination phase: Finite model building constraint generation
% 27.43/4.39 % (3512280)Time elapsed: 0.140 s
% 27.43/4.39 % (3512280)Peak memory usage: 37 MB
% 27.43/4.39 % (3512280)Instructions burned: 722 (million)
% 27.43/4.39 % (3512350)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3943170975:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 27.43/4.39 % TRYING [1]
% 27.43/4.39 % TRYING [2]
% 27.43/4.39 % TRYING [3]
% 27.43/4.39 % (3512313)Instruction limit reached!
% 27.43/4.39 % (3512313)------------------------------
% 27.43/4.39 % (3512313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512313)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512313)Termination reason: Instruction limit
% 27.43/4.39 % (3512313)Termination phase: Saturation
% 27.43/4.39 % (3512313)Time elapsed: 0.088 s
% 27.43/4.39 % (3512313)Peak memory usage: 13 MB
% 27.43/4.39 % (3512313)Instructions burned: 182 (million)
% 27.43/4.39 % TRYING [6]
% 27.43/4.39 % (3512362)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=610463933:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 27.43/4.39 % TRYING [4]
% 27.43/4.39 % (3512297)Instruction limit reached!
% 27.43/4.39 % (3512297)------------------------------
% 27.43/4.39 % (3512297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512297)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512297)Termination reason: Instruction limit
% 27.43/4.39 % (3512297)Termination phase: Saturation
% 27.43/4.39 % (3512297)Time elapsed: 0.282 s
% 27.43/4.39 % (3512297)Peak memory usage: 14 MB
% 27.43/4.39 % (3512297)Instructions burned: 685 (million)
% 27.43/4.39 % TRYING [5]
% 27.43/4.39 % (3512350)Instruction limit reached!
% 27.43/4.39 % (3512350)------------------------------
% 27.43/4.39 % (3512350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512350)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512350)Termination reason: Instruction limit
% 27.43/4.39 % (3512350)Termination phase: Finite model building constraint generation
% 27.43/4.39 % (3512350)Time elapsed: 0.184 s
% 27.43/4.39 % (3512350)Peak memory usage: 20 MB
% 27.43/4.39 % (3512350)Instructions burned: 870 (million)
% 27.43/4.39 % (3512390)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=2719056872:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 27.43/4.39 % (3512389)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=565437800:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 27.43/4.39 % (3512326)Instruction limit reached!
% 27.43/4.39 % (3512326)------------------------------
% 27.43/4.39 % (3512326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512326)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512326)Termination reason: Instruction limit
% 27.43/4.39 % (3512326)Termination phase: Saturation
% 27.43/4.39 % (3512326)Time elapsed: 0.318 s
% 27.43/4.39 % (3512326)Peak memory usage: 14 MB
% 27.43/4.39 % (3512326)Instructions burned: 477 (million)
% 27.43/4.39 % (3512399)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2370352267:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 27.43/4.39 % (3512390)Instruction limit reached!
% 27.43/4.39 % (3512390)------------------------------
% 27.43/4.39 % (3512390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512390)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512390)Termination reason: Instruction limit
% 27.43/4.39 % (3512390)Termination phase: Saturation
% 27.43/4.39 % (3512390)Time elapsed: 0.211 s
% 27.43/4.39 % (3512390)Peak memory usage: 21 MB
% 27.43/4.39 % (3512390)Instructions burned: 695 (million)
% 27.43/4.39 % (3512401)fmb+10_1_sil=64000:random_seed=3473878112:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 27.43/4.39 % TRYING [1]
% 27.43/4.39 % TRYING [2]
% 27.43/4.39 % TRYING [3]
% 27.43/4.39 % TRYING [7]
% 27.43/4.39 % TRYING [4]
% 27.43/4.39 % TRYING [5]
% 27.43/4.39 % (3512389)Instruction limit reached!
% 27.43/4.39 % (3512389)------------------------------
% 27.43/4.39 % (3512389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512389)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512389)Termination reason: Instruction limit
% 27.43/4.39 % (3512389)Termination phase: Finite model building constraint generation
% 27.43/4.39 % (3512389)Time elapsed: 0.530 s
% 27.43/4.39 % (3512389)Peak memory usage: 106 MB
% 27.43/4.39 % (3512389)Instructions burned: 889 (million)
% 27.43/4.39 % (3512438)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2348194599:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 27.43/4.39 % TRYING [20]
% 27.43/4.39 % (3512362)Instruction limit reached!
% 27.43/4.39 % (3512362)------------------------------
% 27.43/4.39 % (3512362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512362)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512362)Termination reason: Instruction limit
% 27.43/4.39 % (3512362)Termination phase: Saturation
% 27.43/4.39 % (3512362)Time elapsed: 0.765 s
% 27.43/4.39 % (3512362)Peak memory usage: 25 MB
% 27.43/4.39 % (3512362)Instructions burned: 1180 (million)
% 27.43/4.39 % (3512442)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2471506810:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 27.43/4.39 % TRYING [8]
% 27.43/4.39 % (3512399)Instruction limit reached!
% 27.43/4.39 % (3512399)------------------------------
% 27.43/4.39 % (3512399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512399)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512399)Termination reason: Instruction limit
% 27.43/4.39 % (3512399)Termination phase: Saturation
% 27.43/4.39 % (3512399)Time elapsed: 0.733 s
% 27.43/4.39 % (3512399)Peak memory usage: 20 MB
% 27.43/4.39 % (3512399)Instructions burned: 881 (million)
% 27.43/4.39 % (3512448)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=500334718:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 27.43/4.39 % TRYING [6]
% 27.43/4.39 % (3512442)Instruction limit reached!
% 27.43/4.39 % (3512442)------------------------------
% 27.43/4.39 % (3512442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512442)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512442)Termination reason: Instruction limit
% 27.43/4.39 % (3512442)Termination phase: Finite model building constraint generation
% 27.43/4.39 % (3512442)Time elapsed: 0.593 s
% 27.43/4.39 % (3512442)Peak memory usage: 63 MB
% 27.43/4.39 % (3512442)Instructions burned: 920 (million)
% 27.43/4.39 % (3512456)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=492201437:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 27.43/4.39 % TRYING [8]
% 27.43/4.39 % (3512456)Instruction limit reached!
% 27.43/4.39 % (3512456)------------------------------
% 27.43/4.39 % (3512456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512456)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512456)Termination reason: Instruction limit
% 27.43/4.39 % (3512456)Termination phase: Saturation
% 27.43/4.39 % (3512456)Time elapsed: 1.288 s
% 27.43/4.39 % (3512456)Peak memory usage: 19 MB
% 27.43/4.39 % (3512456)Instructions burned: 1472 (million)
% 27.43/4.39 % (3512467)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3756531913:i=6324_2969 on theBenchmark for (2969ds/6324Mi)
% 27.43/4.39 % (3512467)Cannot represent all propositional literals internally
% 27.43/4.39 % (3512467)Refutation not found, incomplete strategy
% 27.43/4.39 % (3512467)------------------------------
% 27.43/4.39 % (3512467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512467)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512467)Termination reason: Refutation not found, incomplete strategy
% 27.43/4.39 % (3512467)Time elapsed: 0.009 s
% 27.43/4.39 % (3512467)Peak memory usage: 11 MB
% 27.43/4.39 % (3512467)Instructions burned: 16 (million)
% 27.43/4.39 % (3512467)------------------------------
% 27.43/4.39 % (3512467)------------------------------
% 27.43/4.39 % (3512470)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1818856864:fmbsr=2.30978:i=2174_2969 on theBenchmark for (2969ds/2174Mi)
% 27.43/4.39 % TRYING [16]
% 27.43/4.39 % TRYING [7]
% 27.43/4.39 % (3512448) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3512261-3512448"...
% 27.43/4.39 % (3512448)...printing done.
% 27.43/4.39 % (3512448)Refutation found. Thanks to Tanya!
% 27.43/4.39 % SZS status Theorem for theBenchmark
% 27.43/4.39 % SZS output start Proof for theBenchmark
% See solution above
% 27.43/4.39 % (3512448)------------------------------
% 27.43/4.39 % (3512448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.43/4.39 % (3512448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.43/4.39 % (3512448)CaDiCaL version: 2.1.3
% 27.43/4.39 % (3512448)Termination reason: Refutation
% 27.43/4.39 % (3512448)Time elapsed: 2.576 s
% 27.43/4.39 % (3512448)Peak memory usage: 39 MB
% 27.43/4.39 % (3512448)Instructions burned: 3131 (million)
% 27.43/4.39 % (3512261)Success in time 3.961 s
% 27.43/4.39 % Vampire exiting
%------------------------------------------------------------------------------