%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM468+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:15:19 PM UTC 2026
% Result : Theorem 2.55s 1.25s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 21 unt; 7 def)
% Number of atoms : 235 ( 61 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 266 ( 111 ~; 124 |; 18 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f33,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240) ).
fof(f34,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240_04) ).
fof(f35,conjecture,
( xl != sz00
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ ( xl != sz00
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f38,plain,
( sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xl != sz00 ),
inference(ennf_transformation,[],[f36]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f56]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f71]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f33]) ).
fof(f82,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f33]) ).
fof(f83,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f33]) ).
fof(f84,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f34]) ).
fof(f85,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f34]) ).
fof(f86,plain,
sz00 != xl,
inference(cnf_transformation,[],[f38]) ).
fof(f87,plain,
sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(cnf_transformation,[],[f38]) ).
fof(f110,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f119,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f120,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f122,definition,
~ sP2(sdtpldt0(xm,xn)),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f123,plain,
sP2(sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(inequality_splitting,[],[f87,f122]) ).
fof(f124,definition,
~ sP3(sz00),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
fof(f125,plain,
sP3(xl),
inference(inequality_splitting,[],[f86,f124]) ).
fof(f135,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f120]) ).
fof(f136,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f119]) ).
fof(f137,plain,
( sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[],[f123,f110]) ).
fof(f138,plain,
( sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(forward_subsumption_resolution,[],[f137,f83]) ).
fof(f140,definition,
( spl7_1
<=> aNaturalNumber0(sdtsldt0(xn,xl)) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f142,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xl))
| spl7_1 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f144,definition,
( spl7_2
<=> aNaturalNumber0(sdtsldt0(xm,xl)) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f146,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| spl7_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl7_3
<=> sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl)))) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f150,plain,
( sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f138,f148,f144,f140]) ).
fof(f152,plain,
( sz00 = xl
| ~ doDivides0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| spl7_1 ),
inference(resolution,[],[f142,f135]) ).
fof(f153,plain,
( sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f152,f84]) ).
fof(f154,plain,
( sz00 = xl
| ~ aNaturalNumber0(xn)
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f153,f83]) ).
fof(f155,plain,
( sz00 = xl
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f154,f81]) ).
fof(f158,plain,
( sP3(sz00)
| spl7_1 ),
inference(superposition,[],[f125,f155]) ).
fof(f159,plain,
( $false
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f158,f124]) ).
fof(f160,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f161,plain,
( sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| spl7_2 ),
inference(resolution,[],[f146,f135]) ).
fof(f162,plain,
( sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f161,f85]) ).
fof(f163,plain,
( sz00 = xl
| ~ aNaturalNumber0(xm)
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f162,f83]) ).
fof(f164,plain,
( sz00 = xl
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f163,f82]) ).
fof(f172,plain,
( sP3(sz00)
| spl7_2 ),
inference(superposition,[],[f125,f164]) ).
fof(f175,plain,
( $false
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f172,f124]) ).
fof(f176,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f181,plain,
( sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
| sz00 = xl
| ~ doDivides0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| ~ spl7_3 ),
inference(superposition,[],[f150,f136]) ).
fof(f182,plain,
( sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
| sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| ~ spl7_3 ),
inference(forward_subsumption_resolution,[],[f181,f84]) ).
fof(f184,plain,
( sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
| sz00 = xl
| ~ aNaturalNumber0(xn)
| ~ spl7_3 ),
inference(forward_subsumption_resolution,[],[f182,f83]) ).
fof(f186,plain,
( sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
| sz00 = xl
| ~ spl7_3 ),
inference(forward_subsumption_resolution,[],[f184,f81]) ).
fof(f189,definition,
( spl7_4
<=> sz00 = xl ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f191,plain,
( sz00 = xl
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f193,definition,
( spl7_5
<=> sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn)) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f195,plain,
( sP2(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f196,plain,
( spl7_4
| spl7_5
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f186,f148,f193,f189]) ).
fof(f202,plain,
( sP2(sdtpldt0(xm,xn))
| sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ spl7_5 ),
inference(superposition,[],[f195,f136]) ).
fof(f203,plain,
( sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f202,f122]) ).
fof(f204,plain,
( sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f203,f85]) ).
fof(f205,plain,
( sz00 = xl
| ~ aNaturalNumber0(xm)
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f204,f83]) ).
fof(f206,plain,
( sz00 = xl
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f205,f82]) ).
fof(f207,plain,
( spl7_4
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f206,f193,f189]) ).
fof(f212,plain,
( sP3(sz00)
| ~ spl7_4 ),
inference(superposition,[],[f125,f191]) ).
fof(f218,plain,
( $false
| ~ spl7_4 ),
inference(forward_subsumption_resolution,[],[f212,f124]) ).
fof(f219,plain,
~ spl7_4,
inference(avatar_contradiction_clause,[],[f218]) ).
cnf(s1,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_3 ),
inference(sat_conversion,[],[f151]) ).
cnf(s2,plain,
spl7_1,
inference(sat_conversion,[],[f160]) ).
cnf(s3,plain,
spl7_2,
inference(sat_conversion,[],[f176]) ).
cnf(s4,plain,
( ~ spl7_3
| spl7_4
| spl7_5 ),
inference(sat_conversion,[],[f196]) ).
cnf(s6,plain,
( spl7_4
| ~ spl7_5 ),
inference(sat_conversion,[],[f207]) ).
cnf(s7,plain,
~ spl7_4,
inference(sat_conversion,[],[f219]) ).
cnf(s8,plain,
~ spl7_5,
inference(rat,[],[s6,s7]) ).
cnf(s10,plain,
~ spl7_3,
inference(rat,[],[s4,s8,s7]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10,s3,s2]) ).
fof(f220,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM468+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:07:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/1.25 % (1979813)Detected formulas, will run a generic FOF schedule.
% 2.55/1.25 % (1979820)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1589683984:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.55/1.25 % (1979823)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3657581227:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.55/1.25 % (1979818)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=391781013:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.55/1.25 % (1979819)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=513652040:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.55/1.25 % (1979822)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3030626204:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.55/1.25 % (1979821)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3709449683:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.55/1.25 % (1979824)dis-21_1_sil=8000:lcm=predicate:random_seed=468507804:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.55/1.25 % (1979821)First to succeed.
% 2.55/1.25 % (1979821)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1979813"
% 2.55/1.25 % (1979822)Instruction limit reached!
% 2.55/1.25 % (1979822)------------------------------
% 2.55/1.25 % (1979822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.25 % (1979822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.25 % (1979822)CaDiCaL version: 2.1.3
% 2.55/1.25 % (1979822)Termination reason: Instruction limit
% 2.55/1.25 % (1979822)Termination phase: Saturation
% 2.55/1.25 % (1979822)Time elapsed: 0.070 s
% 2.55/1.25 % (1979822)Peak memory usage: 89 MB
% 2.55/1.25 % (1979822)Instructions burned: 121 (million)
% 2.55/1.25 % (1979824)Instruction limit reached!
% 2.55/1.25 % (1979824)------------------------------
% 2.55/1.25 % (1979824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.25 % (1979824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.25 % (1979824)CaDiCaL version: 2.1.3
% 2.55/1.25 % (1979824)Termination reason: Instruction limit
% 2.55/1.25 % (1979824)Termination phase: Saturation
% 2.55/1.25 % (1979824)Time elapsed: 0.081 s
% 2.55/1.25 % (1979824)Peak memory usage: 91 MB
% 2.55/1.25 % (1979824)Instructions burned: 129 (million)
% 2.55/1.25 % (1979823)Instruction limit reached!
% 2.55/1.25 % (1979823)------------------------------
% 2.55/1.25 % (1979823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.25 % (1979823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.25 % (1979823)CaDiCaL version: 2.1.3
% 2.55/1.25 % (1979823)Termination reason: Instruction limit
% 2.55/1.25 % (1979823)Termination phase: Saturation
% 2.55/1.25 % (1979823)Time elapsed: 0.094 s
% 2.55/1.25 % (1979823)Peak memory usage: 90 MB
% 2.55/1.25 % (1979823)Instructions burned: 141 (million)
% 2.55/1.25 % (1979832)lrs+10_1_sil=8000:sp=occurrence:random_seed=571231548:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.55/1.25 % (1979834)lrs+1011_1_sil=32000:sp=occurrence:random_seed=182352859:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.55/1.25 % (1979833)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2432749783:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.55/1.25 % (1979821)Refutation found. Thanks to Tanya!
% 2.55/1.25 % SZS status Theorem for theBenchmark
% 2.55/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.35 % (1979821)------------------------------
% 3.37/1.35 % (1979821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.35 % (1979821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.35 % (1979821)CaDiCaL version: 2.1.3
% 3.37/1.35 % (1979821)Termination reason: Refutation
% 3.37/1.35 % (1979821)Time elapsed: 0.006 s
% 3.37/1.35 % (1979821)Peak memory usage: 89 MB
% 3.37/1.35 % (1979821)Instructions burned: 7 (million)
% 3.37/1.35 % (1979821)------------------------------
% 3.37/1.35 % (1979821)------------------------------
% 3.37/1.35 % (1979813)Success in time 0.405 s
% 3.37/1.35 % Vampire exiting
%------------------------------------------------------------------------------