%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM524+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 : n007.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 12:15:35 PM UTC 2026
% Result : Theorem 6.37s 1.97s
% Output : Refutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 83 ( 30 unt; 2 def)
% Number of atoms : 245 ( 86 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 285 ( 123 ~; 130 |; 20 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
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(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).
fof(f44,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3059) ).
fof(f46,conjecture,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,plain,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(flattening,[],[f47]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f62,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f63,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f62]) ).
fof(f99,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(f100,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,[],[f99]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f109]) ).
fof(f127,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,[],[f100]) ).
fof(f128,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,[],[f127]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f184,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f185,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f186,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f203,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f206,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f207,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f208,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f210,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f212,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f213,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(cnf_transformation,[],[f44]) ).
fof(f214,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f215,plain,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f50]) ).
fof(f223,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f186]) ).
fof(f224,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f185]) ).
fof(f225,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f251,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(resolution,[],[f138,f207]) ).
fof(f253,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(resolution,[],[f251,f207]) ).
fof(f255,plain,
( sz00 = xp
| xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f212,f225]) ).
fof(f256,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f255,f203]) ).
fof(f257,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f256,f206]) ).
fof(f258,plain,
xn = sdtasdt0(xp,sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f257,f208]) ).
fof(f259,plain,
xn = sdtasdt0(xp,xq),
inference(forward_demodulation,[],[f258,f214]) ).
fof(f275,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xp
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f191,f212]) ).
fof(f276,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f275,f203]) ).
fof(f277,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f276,f206]) ).
fof(f278,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f277,f208]) ).
fof(f279,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,xq) ),
inference(forward_demodulation,[],[f278,f214]) ).
fof(f282,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,xq),
inference(resolution,[],[f279,f208]) ).
fof(f322,definition,
( spl4_5
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f323,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl4_5 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f332,plain,
( $false
| spl4_5 ),
inference(unit_resulting_resolution,[],[f138,f208,f208,f323]) ).
fof(f333,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f344,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[],[f223,f210]) ).
fof(f349,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f344,f213]) ).
fof(f351,plain,
( sz00 = xp
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f349,f253]) ).
fof(f353,plain,
( sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f351,f203]) ).
fof(f355,plain,
( sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f353,f206]) ).
fof(f363,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_demodulation,[],[f355,f282]) ).
fof(f365,definition,
( spl4_10
<=> sdtasdt0(xm,xm) = sdtasdt0(xn,xq) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f366,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xq)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( ~ spl4_5
| spl4_10 ),
inference(avatar_split_clause,[],[f363,f365,f322]) ).
fof(f382,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f224,f212]) ).
fof(f385,plain,
( aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f382,f203]) ).
fof(f387,plain,
( aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f385,f206]) ).
fof(f389,plain,
aNaturalNumber0(sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f387,f208]) ).
fof(f390,plain,
aNaturalNumber0(xq),
inference(forward_demodulation,[],[f389,f214]) ).
fof(f393,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(X0,sdtasdt0(X1,xq)) ),
inference(resolution,[],[f390,f144]) ).
fof(f533,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(xq,xq)) = sdtasdt0(sdtasdt0(X0,xq),xq) ),
inference(resolution,[],[f393,f390]) ).
fof(f577,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(sdtasdt0(xp,xq),xq),
inference(resolution,[],[f533,f206]) ).
fof(f579,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f577,f259]) ).
fof(f589,plain,
sdtasdt0(xm,xm) != sdtasdt0(xn,xq),
inference(superposition,[],[f215,f579]) ).
fof(f592,plain,
( $false
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f589,f366]) ).
fof(f593,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f592]) ).
cnf(s6,plain,
spl4_5,
inference(sat_conversion,[],[f333]) ).
cnf(s8,plain,
( ~ spl4_5
| spl4_10 ),
inference(sat_conversion,[],[f367]) ).
cnf(s13,plain,
~ spl4_10,
inference(sat_conversion,[],[f593]) ).
cnf(s16,plain,
~ spl4_5,
inference(rat,[],[s8,s13]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s6,s16]) ).
fof(f604,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM524+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n007.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 20:17:56 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 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
% 6.37/1.96 % (1755276)Detected formulas, will run a generic FOF schedule.
% 6.37/1.96 % (1755287)dis-21_1_sil=8000:lcm=predicate:random_seed=725292485: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)
% 6.37/1.96 % (1755286)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2206158732:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.37/1.96 % (1755285)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=659179447:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.37/1.96 % (1755283)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=1095449069:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.37/1.96 % (1755281)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=45714219:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.37/1.96 % (1755284)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3592896147:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.37/1.96 % (1755282)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=2093709544:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.37/1.96 % (1755287)Instruction limit reached!
% 6.37/1.96 % (1755287)------------------------------
% 6.37/1.96 % (1755287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.96 % (1755287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.96 % (1755287)CaDiCaL version: 2.1.3
% 6.37/1.96 % (1755287)Termination reason: Instruction limit
% 6.37/1.96 % (1755287)Termination phase: Saturation
% 6.37/1.96 % (1755287)Time elapsed: 0.043 s
% 6.37/1.96 % (1755287)Peak memory usage: 91 MB
% 6.37/1.96 % (1755287)Instructions burned: 131 (million)
% 6.37/1.96 % (1755284)Instruction limit reached!
% 6.37/1.96 % (1755284)------------------------------
% 6.37/1.96 % (1755284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755284)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755284)Termination reason: Instruction limit
% 6.37/1.97 % (1755284)Termination phase: Saturation
% 6.37/1.97 % (1755284)Time elapsed: 0.065 s
% 6.37/1.97 % (1755284)Peak memory usage: 89 MB
% 6.37/1.97 % (1755284)Instructions burned: 109 (million)
% 6.37/1.97 % (1755285)Instruction limit reached!
% 6.37/1.97 % (1755285)------------------------------
% 6.37/1.97 % (1755285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755285)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755285)Termination reason: Instruction limit
% 6.37/1.97 % (1755285)Termination phase: Saturation
% 6.37/1.97 % (1755285)Time elapsed: 0.069 s
% 6.37/1.97 % (1755285)Peak memory usage: 88 MB
% 6.37/1.97 % (1755285)Instructions burned: 119 (million)
% 6.37/1.97 % (1755286)Instruction limit reached!
% 6.37/1.97 % (1755286)------------------------------
% 6.37/1.97 % (1755286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755286)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755286)Termination reason: Instruction limit
% 6.37/1.97 % (1755286)Termination phase: Saturation
% 6.37/1.97 % (1755286)Time elapsed: 0.091 s
% 6.37/1.97 % (1755286)Peak memory usage: 90 MB
% 6.37/1.97 % (1755286)Instructions burned: 140 (million)
% 6.37/1.97 % (1755295)lrs+10_1_sil=8000:sp=occurrence:random_seed=2836731296:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.37/1.97 % (1755295)Instruction limit reached!
% 6.37/1.97 % (1755295)------------------------------
% 6.37/1.97 % (1755295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755295)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755295)Termination reason: Instruction limit
% 6.37/1.97 % (1755295)Termination phase: Saturation
% 6.37/1.97 % (1755295)Time elapsed: 0.090 s
% 6.37/1.97 % (1755295)Peak memory usage: 91 MB
% 6.37/1.97 % (1755295)Instructions burned: 285 (million)
% 6.37/1.97 % (1755296)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2194484312:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.37/1.97 % (1755297)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1515435606:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.37/1.97 % (1755299)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=76083138:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.37/1.97 % (1755296)Instruction limit reached!
% 6.37/1.97 % (1755296)------------------------------
% 6.37/1.97 % (1755296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755296)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755296)Termination reason: Instruction limit
% 6.37/1.97 % (1755296)Termination phase: Saturation
% 6.37/1.97 % (1755296)Time elapsed: 0.071 s
% 6.37/1.97 % (1755296)Peak memory usage: 89 MB
% 6.37/1.97 % (1755296)Instructions burned: 158 (million)
% 6.37/1.97 % (1755301)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3136354082:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.37/1.97 % (1755299)Instruction limit reached!
% 6.37/1.97 % (1755299)------------------------------
% 6.37/1.97 % (1755299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755299)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755299)Termination reason: Instruction limit
% 6.37/1.97 % (1755299)Termination phase: Saturation
% 6.37/1.97 % (1755299)Time elapsed: 0.115 s
% 6.37/1.97 % (1755299)Peak memory usage: 93 MB
% 6.37/1.97 % (1755299)Instructions burned: 249 (million)
% 6.37/1.97 % (1755301)Instruction limit reached!
% 6.37/1.97 % (1755301)------------------------------
% 6.37/1.97 % (1755301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755301)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755301)Termination reason: Instruction limit
% 6.37/1.97 % (1755301)Termination phase: Saturation
% 6.37/1.97 % (1755301)Time elapsed: 0.086 s
% 6.37/1.97 % (1755301)Peak memory usage: 90 MB
% 6.37/1.97 % (1755301)Instructions burned: 296 (million)
% 6.37/1.97 % (1755304)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=131235919:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.37/1.97 % (1755297)Instruction limit reached!
% 6.37/1.97 % (1755297)------------------------------
% 6.37/1.97 % (1755297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755297)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755297)Termination reason: Instruction limit
% 6.37/1.97 % (1755297)Termination phase: Saturation
% 6.37/1.97 % (1755297)Time elapsed: 0.191 s
% 6.37/1.97 % (1755297)Peak memory usage: 91 MB
% 6.37/1.97 % (1755297)Instructions burned: 326 (million)
% 6.37/1.97 % (1755307)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4119071179:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 6.37/1.97 % (1755306)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1038669794:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.37/1.97 % (1755307)Instruction limit reached!
% 6.37/1.97 % (1755307)------------------------------
% 6.37/1.97 % (1755307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755307)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755307)Termination reason: Instruction limit
% 6.37/1.97 % (1755307)Termination phase: Saturation
% 6.37/1.97 % (1755307)Time elapsed: 0.034 s
% 6.37/1.97 % (1755307)Peak memory usage: 89 MB
% 6.37/1.97 % (1755307)Instructions burned: 129 (million)
% 6.37/1.97 % (1755306)Instruction limit reached!
% 6.37/1.97 % (1755306)------------------------------
% 6.37/1.97 % (1755306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755306)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755306)Termination reason: Instruction limit
% 6.37/1.97 % (1755306)Termination phase: Saturation
% 6.37/1.97 % (1755306)Time elapsed: 0.069 s
% 6.37/1.97 % (1755306)Peak memory usage: 90 MB
% 6.37/1.97 % (1755306)Instructions burned: 115 (million)
% 6.37/1.97 % (1755309)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=131916019:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.37/1.97 % (1755312)lrs+10_1_sil=8000:sp=occurrence:random_seed=2918791702:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.37/1.97 % (1755309)Instruction limit reached!
% 6.37/1.97 % (1755309)------------------------------
% 6.37/1.97 % (1755309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755309)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755309)Termination reason: Instruction limit
% 6.37/1.97 % (1755309)Termination phase: Saturation
% 6.37/1.97 % (1755309)Time elapsed: 0.059 s
% 6.37/1.97 % (1755309)Peak memory usage: 89 MB
% 6.37/1.97 % (1755309)Instructions burned: 114 (million)
% 6.37/1.97 % (1755313)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3386814684:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.37/1.97 % (1755282)First to succeed.
% 6.37/1.97 % (1755282)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1755276"
% 6.37/1.97 % (1755281)Also succeeded, but the first one will report.
% 6.37/1.97 % (1755316)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3540698763:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.37/1.97 % (1755313)Also succeeded, but the first one will report.
% 6.37/1.97 % (1755312)Instruction limit reached!
% 6.37/1.97 % (1755312)------------------------------
% 6.37/1.97 % (1755312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.97 % (1755312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.97 % (1755312)CaDiCaL version: 2.1.3
% 6.37/1.97 % (1755312)Termination reason: Instruction limit
% 6.37/1.97 % (1755312)Termination phase: Saturation
% 6.37/1.97 % (1755312)Time elapsed: 0.276 s
% 6.37/1.97 % (1755312)Peak memory usage: 98 MB
% 6.37/1.97 % (1755312)Instructions burned: 910 (million)
% 6.37/1.97 % (1755283)Also succeeded, but the first one will report.
% 6.37/1.97 % (1755319)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2939409356:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.37/1.97 % (1755282)Refutation found. Thanks to Tanya!
% 6.37/1.97 % SZS status Theorem for theBenchmark
% 6.37/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.29/2.15 % (1755282)------------------------------
% 8.29/2.16 % (1755282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.16 % (1755282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.16 % (1755282)CaDiCaL version: 2.1.3
% 8.29/2.16 % (1755282)Termination reason: Refutation
% 8.29/2.16 % (1755282)Time elapsed: 0.679 s
% 8.29/2.16 % (1755282)Peak memory usage: 130 MB
% 8.29/2.16 % (1755282)Instructions burned: 1010 (million)
% 8.29/2.16 % (1755282)------------------------------
% 8.29/2.16 % (1755282)------------------------------
% 8.29/2.16 % (1755276)Success in time 1.098 s
% 8.29/2.16 % Vampire exiting
%------------------------------------------------------------------------------