%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM453+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 : n003.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 12:24:22 PM UTC 2026
% Result : Theorem 7.71s 1.69s
% Output : Refutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 81 ( 17 unt; 5 def)
% Number of atoms : 190 ( 50 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 165 ( 56 ~; 90 |; 10 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f46,axiom,
( aInteger0(xp)
& xp != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
fof(f48,conjecture,
( sdtpldt0(sz10,xp) != sz10
& sdtpldt0(sz10,smndt0(xp)) != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ ( sdtpldt0(sz10,xp) != sz10
& sdtpldt0(sz10,smndt0(xp)) != sz10 ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f52,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f57,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f57]) ).
fof(f61,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f62,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f114,plain,
( sz10 = sdtpldt0(sz10,xp)
| sz10 = sdtpldt0(sz10,smndt0(xp)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f116,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f122,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f123,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f124,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f228,plain,
sz00 != xp,
inference(cnf_transformation,[],[f46]) ).
fof(f229,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f46]) ).
fof(f232,plain,
( sz10 = sdtpldt0(sz10,smndt0(xp))
| sz10 = sdtpldt0(sz10,xp) ),
inference(cnf_transformation,[],[f114]) ).
fof(f271,plain,
~ aInteger0(sz10),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f272,plain,
! [X0] :
( ~ aInteger0(smndt0(X0))
| aInteger0(X0) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f275,plain,
! [X2,X0,X1] :
( aInteger0(X2)
| aInteger0(X1)
| aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f277,plain,
! [X0] :
( aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f278,plain,
! [X0] :
( aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f280,plain,
! [X0] :
( aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f354,plain,
~ aInteger0(xp),
inference(consistent_polarity_flipping,[],[f229]) ).
fof(f356,definition,
( spl15_1
<=> sz10 = sdtpldt0(sz10,xp) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f358,plain,
( sz10 = sdtpldt0(sz10,xp)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl15_2
<=> sz10 = sdtpldt0(sz10,smndt0(xp)) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f362,plain,
( sz10 = sdtpldt0(sz10,smndt0(xp))
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f232,f360,f356]) ).
fof(f368,definition,
( spl15_4
<=> aInteger0(sz10) ),
introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).
fof(f369,plain,
( ~ aInteger0(sz10)
| spl15_4 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f376,definition,
( spl15_6
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f377,plain,
( ~ aInteger0(smndt0(sz10))
| spl15_6 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f378,plain,
( aInteger0(smndt0(sz10))
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f380,plain,
~ spl15_4,
inference(avatar_split_clause,[],[f271,f368]) ).
fof(f384,plain,
( sz10 = sdtpldt0(sz10,sz00)
| spl15_4 ),
inference(resolution,[],[f277,f369]) ).
fof(f390,plain,
xp = sdtpldt0(sz00,xp),
inference(resolution,[],[f278,f354]) ).
fof(f434,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| spl15_4 ),
inference(resolution,[],[f280,f369]) ).
fof(f438,plain,
sz00 = sdtpldt0(smndt0(xp),xp),
inference(resolution,[],[f280,f354]) ).
fof(f654,plain,
! [X0,X1] :
( aInteger0(X0)
| aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,xp)) = sdtpldt0(sdtpldt0(X1,X0),xp) ),
inference(resolution,[],[f275,f354]) ).
fof(f657,plain,
( ! [X0,X1] :
( aInteger0(X0)
| aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(sz10,X0)) = sdtpldt0(sdtpldt0(X1,sz10),X0) )
| spl15_4 ),
inference(resolution,[],[f275,f369]) ).
fof(f896,plain,
( aInteger0(sz10)
| ~ spl15_6 ),
inference(resolution,[],[f378,f272]) ).
fof(f897,plain,
( $false
| spl15_4
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f896,f369]) ).
fof(f898,plain,
( spl15_4
| ~ spl15_6 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f2458,plain,
( ! [X0] :
( aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(X0,xp)) = sdtpldt0(sdtpldt0(sz10,X0),xp) )
| spl15_4 ),
inference(resolution,[],[f654,f369]) ).
fof(f3059,plain,
( ! [X0] :
( aInteger0(X0)
| sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X0)) = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),X0) )
| spl15_4
| spl15_6 ),
inference(resolution,[],[f657,f377]) ).
fof(f3075,plain,
( ! [X0] :
( aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X0)) )
| spl15_4
| spl15_6 ),
inference(forward_demodulation,[],[f3059,f434]) ).
fof(f14373,definition,
( spl15_120
<=> aInteger0(smndt0(xp)) ),
introduced(definition,[new_symbols(definition,[spl15_120])],[avatar_definition]) ).
fof(f14374,plain,
( ~ aInteger0(smndt0(xp))
| spl15_120 ),
inference(avatar_component_clause,[],[f14373]) ).
fof(f14375,plain,
( aInteger0(smndt0(xp))
| ~ spl15_120 ),
inference(avatar_component_clause,[],[f14373]) ).
fof(f28436,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xp))
| spl15_4
| spl15_6 ),
inference(resolution,[],[f3075,f354]) ).
fof(f38931,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(smndt0(sz10),sz10)
| ~ spl15_1
| spl15_4
| spl15_6 ),
inference(forward_demodulation,[],[f28436,f358]) ).
fof(f39843,plain,
( sz00 = sdtpldt0(sz00,xp)
| ~ spl15_1
| spl15_4
| spl15_6 ),
inference(forward_demodulation,[],[f38931,f434]) ).
fof(f42998,plain,
( aInteger0(xp)
| ~ spl15_120 ),
inference(resolution,[],[f14375,f272]) ).
fof(f42999,plain,
( $false
| ~ spl15_120 ),
inference(forward_subsumption_resolution,[],[f42998,f354]) ).
fof(f43000,plain,
~ spl15_120,
inference(avatar_contradiction_clause,[],[f42999]) ).
fof(f47949,plain,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),xp) = sdtpldt0(sz10,sdtpldt0(smndt0(xp),xp))
| spl15_4
| spl15_120 ),
inference(resolution,[],[f2458,f14374]) ).
fof(f47974,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),xp)
| spl15_4
| spl15_120 ),
inference(forward_demodulation,[],[f47949,f438]) ).
fof(f47979,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(sz10,sz00)
| ~ spl15_2
| spl15_4
| spl15_120 ),
inference(forward_demodulation,[],[f47974,f362]) ).
fof(f47981,plain,
( sz10 = sdtpldt0(sz10,xp)
| ~ spl15_2
| spl15_4
| spl15_120 ),
inference(forward_demodulation,[],[f47979,f384]) ).
fof(f47985,plain,
( spl15_1
| ~ spl15_2
| spl15_4
| spl15_120 ),
inference(avatar_split_clause,[],[f47981,f14373,f368,f360,f356]) ).
fof(f47991,plain,
( sz00 = xp
| ~ spl15_1
| spl15_4
| spl15_6 ),
inference(superposition,[],[f39843,f390]) ).
fof(f47996,plain,
( $false
| ~ spl15_1
| spl15_4
| spl15_6 ),
inference(forward_subsumption_resolution,[],[f47991,f228]) ).
fof(f47997,plain,
( ~ spl15_1
| spl15_4
| spl15_6 ),
inference(avatar_contradiction_clause,[],[f47996]) ).
cnf(s1,plain,
( spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f363]) ).
cnf(s4,plain,
~ spl15_4,
inference(sat_conversion,[],[f380]) ).
cnf(s19,plain,
( spl15_4
| ~ spl15_6 ),
inference(sat_conversion,[],[f898]) ).
cnf(s668,plain,
~ spl15_120,
inference(sat_conversion,[],[f43000]) ).
cnf(s824,plain,
( spl15_1
| ~ spl15_2
| spl15_4
| spl15_120 ),
inference(sat_conversion,[],[f47985]) ).
cnf(s826,plain,
( ~ spl15_1
| spl15_4
| spl15_6 ),
inference(sat_conversion,[],[f47997]) ).
cnf(s876,plain,
~ spl15_6,
inference(rat,[],[s19,s4]) ).
cnf(s886,plain,
~ spl15_1,
inference(rat,[],[s826,s4,s876]) ).
cnf(s900,plain,
~ spl15_2,
inference(rat,[],[s824,s668,s4,s886]) ).
cnf(s918,plain,
$false,
inference(rat,[],[s1,s900,s886]) ).
fof(f47998,plain,
$false,
inference(avatar_sat_refutation,[],[s918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM453+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n003.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 20:01:41 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 7.71/1.69 % (887914)Will run a generic schedule for satisfiability detection.
% 7.71/1.69 % (887919)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2891216817_2999 on theBenchmark for (2999ds/0Mi)
% 7.71/1.69 % (887920)% WARNING: option uhcvi not known.
% 7.71/1.69 % TRYING [1]
% 7.71/1.69 % TRYING [2]
% 7.71/1.69 % (887922)dis+10_1_sil=32000:sp=arity:random_seed=687469642:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.71/1.69 % (887920)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2664896300:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.71/1.69 % TRYING [3]
% 7.71/1.69 % (887921)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3549768504:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.71/1.69 % (887924)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3710455447:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.71/1.69 % (887923)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3061252987:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.71/1.69 % (887925)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3699128813:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.71/1.69 % TRYING [4]
% 7.71/1.69 % TRYING [5]
% 7.71/1.69 % (887922)Instruction limit reached!
% 7.71/1.69 % (887922)------------------------------
% 7.71/1.69 % (887922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887922)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887922)Termination reason: Instruction limit
% 7.71/1.69 % (887922)Termination phase: Saturation
% 7.71/1.69 % (887922)Time elapsed: 0.065 s
% 7.71/1.69 % (887922)Peak memory usage: 13 MB
% 7.71/1.69 % (887922)Instructions burned: 104 (million)
% 7.71/1.69 % (887924)Instruction limit reached!
% 7.71/1.69 % (887924)------------------------------
% 7.71/1.69 % (887924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887924)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887924)Termination reason: Instruction limit
% 7.71/1.69 % (887924)Termination phase: Saturation
% 7.71/1.69 % (887924)Time elapsed: 0.069 s
% 7.71/1.69 % (887924)Peak memory usage: 13 MB
% 7.71/1.69 % (887924)Instructions burned: 131 (million)
% 7.71/1.69 % (887923)Instruction limit reached!
% 7.71/1.69 % (887923)------------------------------
% 7.71/1.69 % (887923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887923)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887923)Termination reason: Instruction limit
% 7.71/1.69 % (887923)Termination phase: Saturation
% 7.71/1.69 % (887923)Time elapsed: 0.071 s
% 7.71/1.69 % (887923)Peak memory usage: 13 MB
% 7.71/1.69 % (887923)Instructions burned: 117 (million)
% 7.71/1.69 % (887933)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3070719729:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.71/1.69 % (887934)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2735709602:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.71/1.69 % (887935)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=2641449330:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.71/1.69 % TRYING [1]
% 7.71/1.69 % TRYING [2]
% 7.71/1.69 % TRYING [6]
% 7.71/1.69 % TRYING [3]
% 7.71/1.69 % (887925)Instruction limit reached!
% 7.71/1.69 % (887925)------------------------------
% 7.71/1.69 % (887925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887925)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887925)Termination reason: Instruction limit
% 7.71/1.69 % (887925)Termination phase: Saturation
% 7.71/1.69 % (887925)Time elapsed: 0.098 s
% 7.71/1.69 % (887925)Peak memory usage: 14 MB
% 7.71/1.69 % (887925)Instructions burned: 160 (million)
% 7.71/1.69 % TRYING [4]
% 7.71/1.69 % (887939)ott-21_1_sil=16000:fs=off:random_seed=248652878:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.71/1.69 % TRYING [5]
% 7.71/1.69 % (887934)Instruction limit reached!
% 7.71/1.69 % (887934)------------------------------
% 7.71/1.69 % (887934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887934)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887934)Termination reason: Instruction limit
% 7.71/1.69 % (887934)Termination phase: Saturation
% 7.71/1.69 % (887934)Time elapsed: 0.068 s
% 7.71/1.69 % (887934)Peak memory usage: 12 MB
% 7.71/1.69 % (887934)Instructions burned: 133 (million)
% 7.71/1.69 % (887941)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3766561069:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.71/1.69 % (887939)Instruction limit reached!
% 7.71/1.69 % (887939)------------------------------
% 7.71/1.69 % (887939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887939)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887939)Termination reason: Instruction limit
% 7.71/1.69 % (887939)Termination phase: Saturation
% 7.71/1.69 % (887939)Time elapsed: 0.097 s
% 7.71/1.69 % (887939)Peak memory usage: 13 MB
% 7.71/1.69 % (887939)Instructions burned: 181 (million)
% 7.71/1.69 % (887943)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1410322782:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.71/1.69 % TRYING [1]
% 7.71/1.69 % TRYING [2]
% 7.71/1.69 % TRYING [3]
% 7.71/1.69 % TRYING [6]
% 7.71/1.69 % TRYING [4]
% 7.71/1.69 % TRYING [7]
% 7.71/1.69 % (887933)Instruction limit reached!
% 7.71/1.69 % (887933)------------------------------
% 7.71/1.69 % (887933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887933)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887933)Termination reason: Instruction limit
% 7.71/1.69 % (887933)Termination phase: Finite model building constraint generation
% 7.71/1.69 % (887933)Time elapsed: 0.269 s
% 7.71/1.69 % (887933)Peak memory usage: 29 MB
% 7.71/1.69 % (887933)Instructions burned: 715 (million)
% 7.71/1.69 % (887945)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1312076328:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.71/1.69 % (887935)Instruction limit reached!
% 7.71/1.69 % (887935)------------------------------
% 7.71/1.69 % (887935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887935)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887935)Termination reason: Instruction limit
% 7.71/1.69 % (887935)Termination phase: Saturation
% 7.71/1.69 % (887935)Time elapsed: 0.332 s
% 7.71/1.69 % (887935)Peak memory usage: 17 MB
% 7.71/1.69 % (887935)Instructions burned: 685 (million)
% 7.71/1.69 % TRYING [5]
% 7.71/1.69 % (887947)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4114419792:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.71/1.69 % (887941)Instruction limit reached!
% 7.71/1.69 % (887941)------------------------------
% 7.71/1.69 % (887941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887941)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887941)Termination reason: Instruction limit
% 7.71/1.69 % (887941)Termination phase: Saturation
% 7.71/1.69 % (887941)Time elapsed: 0.335 s
% 7.71/1.69 % (887941)Peak memory usage: 15 MB
% 7.71/1.69 % (887941)Instructions burned: 478 (million)
% 7.71/1.69 % (887949)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=2289975169: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)
% 7.71/1.69 % (887943)Instruction limit reached!
% 7.71/1.69 % (887943)------------------------------
% 7.71/1.69 % (887943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887943)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887943)Termination reason: Instruction limit
% 7.71/1.69 % (887943)Termination phase: Finite model building SAT solving
% 7.71/1.69 % (887943)Time elapsed: 0.344 s
% 7.71/1.69 % (887943)Peak memory usage: 24 MB
% 7.71/1.69 % (887943)Instructions burned: 867 (million)
% 7.71/1.69 % (887951)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3834128358:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.71/1.69 % TRYING [14]
% 7.71/1.69 % (887947)Instruction limit reached!
% 7.71/1.69 % (887947)------------------------------
% 7.71/1.69 % (887947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887947)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887947)Termination reason: Instruction limit
% 7.71/1.69 % (887947)Termination phase: Finite model building constraint generation
% 7.71/1.69 % (887947)Time elapsed: 0.359 s
% 7.71/1.69 % (887947)Peak memory usage: 85 MB
% 7.71/1.69 % (887947)Instructions burned: 889 (million)
% 7.71/1.69 % (887953)fmb+10_1_sil=64000:random_seed=2002879203:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.71/1.69 % TRYING [1]
% 7.71/1.69 % TRYING [2]
% 7.71/1.69 % TRYING [3]
% 7.71/1.69 % TRYING [4]
% 7.71/1.69 % (887949)Instruction limit reached!
% 7.71/1.69 % (887949)------------------------------
% 7.71/1.69 % (887949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887949)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887949)Termination reason: Instruction limit
% 7.71/1.69 % (887949)Termination phase: Saturation
% 7.71/1.69 % (887949)Time elapsed: 0.388 s
% 7.71/1.69 % (887949)Peak memory usage: 23 MB
% 7.71/1.69 % (887949)Instructions burned: 693 (million)
% 7.71/1.69 % (887955)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3730275147:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.71/1.69 % TRYING [20]
% 7.71/1.69 % TRYING [5]
% 7.71/1.69 % (887945)Instruction limit reached!
% 7.71/1.69 % (887945)------------------------------
% 7.71/1.69 % (887945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887945)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887945)Termination reason: Instruction limit
% 7.71/1.69 % (887945)Termination phase: Saturation
% 7.71/1.69 % (887945)Time elapsed: 0.682 s
% 7.71/1.69 % (887945)Peak memory usage: 25 MB
% 7.71/1.69 % (887945)Instructions burned: 1179 (million)
% 7.71/1.69 % (887957)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2471189877:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.71/1.69 % TRYING [8]
% 7.71/1.69 % (887951)Instruction limit reached!
% 7.71/1.69 % (887951)------------------------------
% 7.71/1.69 % (887951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887951)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887951)Termination reason: Instruction limit
% 7.71/1.69 % (887951)Termination phase: Saturation
% 7.71/1.69 % (887951)Time elapsed: 0.506 s
% 7.71/1.69 % (887951)Peak memory usage: 19 MB
% 7.71/1.69 % (887951)Instructions burned: 880 (million)
% 7.71/1.69 % (887959)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2167646513:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 7.71/1.69 % (887920) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-887914-887920"...
% 7.71/1.69 % (887920)...printing done.
% 7.71/1.69 % (887920)Refutation found. Thanks to Tanya!
% 7.71/1.69 % SZS status Theorem for theBenchmark
% 7.71/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 7.71/1.69 % (887920)------------------------------
% 7.71/1.69 % (887920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.69 % (887920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.69 % (887920)CaDiCaL version: 2.1.3
% 7.71/1.69 % (887920)Termination reason: Refutation
% 7.71/1.69 % (887920)Time elapsed: 1.223 s
% 7.71/1.69 % (887920)Peak memory usage: 29 MB
% 7.71/1.69 % (887920)Instructions burned: 2416 (million)
% 7.71/1.69 % (887914)Success in time 1.269 s
% 7.71/1.69 % Vampire exiting
%------------------------------------------------------------------------------