%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM525+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 6.45s 1.99s
% Output : Refutation 8.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 76 ( 27 unt; 2 def)
% Number of atoms : 218 ( 78 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 249 ( 107 ~; 110 |; 20 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 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 : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(f44,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(f46,conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,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(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(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(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(cnf_transformation,[],[f50]) ).
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,
( sz00 = xp
| xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f212,f225]) ).
fof(f252,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f251,f203]) ).
fof(f253,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f252,f206]) ).
fof(f254,plain,
xn = sdtasdt0(xp,sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f253,f208]) ).
fof(f255,plain,
xn = sdtasdt0(xp,xq),
inference(forward_demodulation,[],[f254,f214]) ).
fof(f276,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(f277,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f276,f203]) ).
fof(f278,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f277,f206]) ).
fof(f279,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f278,f208]) ).
fof(f280,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,xq) ),
inference(forward_demodulation,[],[f279,f214]) ).
fof(f283,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,xq),
inference(resolution,[],[f280,f208]) ).
fof(f322,plain,
( sz00 = xp
| sdtasdt0(xn,xn) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xn),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(resolution,[],[f213,f225]) ).
fof(f323,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xn),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f322,f203]) ).
fof(f325,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xn),xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f323,f206]) ).
fof(f327,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_demodulation,[],[f325,f283]) ).
fof(f330,definition,
( spl4_5
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f331,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl4_5 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f333,definition,
( spl4_6
<=> sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xn,xq)) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f334,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xn,xq))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f335,plain,
( ~ spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f327,f333,f330]) ).
fof(f340,plain,
( $false
| spl4_5 ),
inference(unit_resulting_resolution,[],[f138,f208,f208,f331]) ).
fof(f341,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f398,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f224,f212]) ).
fof(f401,plain,
( aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f398,f203]) ).
fof(f403,plain,
( aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f401,f206]) ).
fof(f405,plain,
aNaturalNumber0(sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f403,f208]) ).
fof(f406,plain,
aNaturalNumber0(xq),
inference(forward_demodulation,[],[f405,f214]) ).
fof(f409,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(X0,sdtasdt0(X1,xq)) ),
inference(resolution,[],[f406,f144]) ).
fof(f559,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(xq,xq)) = sdtasdt0(sdtasdt0(X0,xq),xq) ),
inference(resolution,[],[f409,f406]) ).
fof(f608,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(sdtasdt0(xp,xq),xq),
inference(resolution,[],[f559,f206]) ).
fof(f610,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f608,f255]) ).
fof(f621,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xn,xq)),
inference(superposition,[],[f215,f610]) ).
fof(f624,plain,
( sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xn,xn)
| ~ spl4_6 ),
inference(forward_demodulation,[],[f621,f334]) ).
fof(f626,plain,
( $false
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f624,f210]) ).
fof(f627,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f626]) ).
cnf(s4,plain,
( ~ spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f335]) ).
cnf(s6,plain,
spl4_5,
inference(sat_conversion,[],[f341]) ).
cnf(s13,plain,
~ spl4_6,
inference(sat_conversion,[],[f627]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s4,s13,s6]) ).
fof(f637,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM525+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.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 20:15:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.45/1.99 % (2910929)Detected formulas, will run a generic FOF schedule.
% 6.45/1.99 % (2910940)dis-21_1_sil=8000:lcm=predicate:random_seed=2581561633: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)
% 6.45/1.99 % (2910936)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=296201658:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.45/1.99 % (2910937)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2744073707:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.45/1.99 % (2910935)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=1898413118:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.45/1.99 % (2910938)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1260427066:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.45/1.99 % (2910934)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=1320005824:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.45/1.99 % (2910940)Instruction limit reached!
% 6.45/1.99 % (2910940)------------------------------
% 6.45/1.99 % (2910940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910940)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910940)Termination reason: Instruction limit
% 6.45/1.99 % (2910940)Termination phase: Saturation
% 6.45/1.99 % (2910940)Time elapsed: 0.044 s
% 6.45/1.99 % (2910940)Peak memory usage: 91 MB
% 6.45/1.99 % (2910940)Instructions burned: 132 (million)
% 6.45/1.99 % (2910939)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3834349202:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.45/1.99 % (2910937)Instruction limit reached!
% 6.45/1.99 % (2910937)------------------------------
% 6.45/1.99 % (2910937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910937)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910937)Termination reason: Instruction limit
% 6.45/1.99 % (2910937)Termination phase: Saturation
% 6.45/1.99 % (2910937)Time elapsed: 0.068 s
% 6.45/1.99 % (2910937)Peak memory usage: 89 MB
% 6.45/1.99 % (2910937)Instructions burned: 110 (million)
% 6.45/1.99 % (2910938)Instruction limit reached!
% 6.45/1.99 % (2910938)------------------------------
% 6.45/1.99 % (2910938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910938)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910938)Termination reason: Instruction limit
% 6.45/1.99 % (2910938)Termination phase: Saturation
% 6.45/1.99 % (2910938)Time elapsed: 0.070 s
% 6.45/1.99 % (2910938)Peak memory usage: 88 MB
% 6.45/1.99 % (2910938)Instructions burned: 119 (million)
% 6.45/1.99 % (2910939)Instruction limit reached!
% 6.45/1.99 % (2910939)------------------------------
% 6.45/1.99 % (2910939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910939)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910939)Termination reason: Instruction limit
% 6.45/1.99 % (2910939)Termination phase: Saturation
% 6.45/1.99 % (2910939)Time elapsed: 0.089 s
% 6.45/1.99 % (2910939)Peak memory usage: 90 MB
% 6.45/1.99 % (2910939)Instructions burned: 140 (million)
% 6.45/1.99 % (2910947)lrs+10_1_sil=8000:sp=occurrence:random_seed=2436210966:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.45/1.99 % (2910947)Instruction limit reached!
% 6.45/1.99 % (2910947)------------------------------
% 6.45/1.99 % (2910947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910947)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910947)Termination reason: Instruction limit
% 6.45/1.99 % (2910947)Termination phase: Saturation
% 6.45/1.99 % (2910947)Time elapsed: 0.091 s
% 6.45/1.99 % (2910947)Peak memory usage: 92 MB
% 6.45/1.99 % (2910947)Instructions burned: 288 (million)
% 6.45/1.99 % (2910950)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4112818468:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.45/1.99 % (2910949)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3867466379:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.45/1.99 % (2910951)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=3433320769:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.45/1.99 % (2910949)Instruction limit reached!
% 6.45/1.99 % (2910949)------------------------------
% 6.45/1.99 % (2910949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910949)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910949)Termination reason: Instruction limit
% 6.45/1.99 % (2910949)Termination phase: Saturation
% 6.45/1.99 % (2910949)Time elapsed: 0.073 s
% 6.45/1.99 % (2910949)Peak memory usage: 89 MB
% 6.45/1.99 % (2910949)Instructions burned: 159 (million)
% 6.45/1.99 % (2910953)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=162975591:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.45/1.99 % (2910951)Instruction limit reached!
% 6.45/1.99 % (2910951)------------------------------
% 6.45/1.99 % (2910951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910951)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910951)Termination reason: Instruction limit
% 6.45/1.99 % (2910951)Termination phase: Saturation
% 6.45/1.99 % (2910951)Time elapsed: 0.117 s
% 6.45/1.99 % (2910951)Peak memory usage: 94 MB
% 6.45/1.99 % (2910951)Instructions burned: 249 (million)
% 6.45/1.99 % (2910950)Instruction limit reached!
% 6.45/1.99 % (2910950)------------------------------
% 6.45/1.99 % (2910950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910950)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910950)Termination reason: Instruction limit
% 6.45/1.99 % (2910950)Termination phase: Saturation
% 6.45/1.99 % (2910950)Time elapsed: 0.194 s
% 6.45/1.99 % (2910950)Peak memory usage: 91 MB
% 6.45/1.99 % (2910950)Instructions burned: 326 (million)
% 6.45/1.99 % (2910953)Instruction limit reached!
% 6.45/1.99 % (2910953)------------------------------
% 6.45/1.99 % (2910953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910953)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910953)Termination reason: Instruction limit
% 6.45/1.99 % (2910953)Termination phase: Saturation
% 6.45/1.99 % (2910953)Time elapsed: 0.087 s
% 6.45/1.99 % (2910953)Peak memory usage: 90 MB
% 6.45/1.99 % (2910953)Instructions burned: 297 (million)
% 6.45/1.99 % (2910957)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1901675676:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.45/1.99 % (2910959)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2545754058:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.45/1.99 % (2910961)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1767209261:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.45/1.99 % (2910961)Instruction limit reached!
% 6.45/1.99 % (2910961)------------------------------
% 6.45/1.99 % (2910961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910961)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910961)Termination reason: Instruction limit
% 6.45/1.99 % (2910961)Termination phase: Saturation
% 6.45/1.99 % (2910961)Time elapsed: 0.031 s
% 6.45/1.99 % (2910961)Peak memory usage: 89 MB
% 6.45/1.99 % (2910961)Instructions burned: 114 (million)
% 6.45/1.99 % (2910960)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1498724958:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.45/1.99 % (2910959)Instruction limit reached!
% 6.45/1.99 % (2910959)------------------------------
% 6.45/1.99 % (2910959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910959)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910959)Termination reason: Instruction limit
% 6.45/1.99 % (2910959)Termination phase: Saturation
% 6.45/1.99 % (2910959)Time elapsed: 0.069 s
% 6.45/1.99 % (2910959)Peak memory usage: 90 MB
% 6.45/1.99 % (2910959)Instructions burned: 114 (million)
% 6.45/1.99 % (2910960)Instruction limit reached!
% 6.45/1.99 % (2910960)------------------------------
% 6.45/1.99 % (2910960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.99 % (2910960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.99 % (2910960)CaDiCaL version: 2.1.3
% 6.45/1.99 % (2910960)Termination reason: Instruction limit
% 6.45/1.99 % (2910960)Termination phase: Saturation
% 6.45/1.99 % (2910960)Time elapsed: 0.064 s
% 6.45/1.99 % (2910960)Peak memory usage: 89 MB
% 6.45/1.99 % (2910960)Instructions burned: 127 (million)
% 6.45/1.99 % (2910935)First to succeed.
% 6.45/1.99 % (2910935)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2910929"
% 6.45/1.99 % (2910966)lrs+10_1_sil=8000:sp=occurrence:random_seed=3506559622:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.45/1.99 % (2910967)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1411827678:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.45/1.99 % (2910968)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3613600339:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.45/1.99 % (2910934)Also succeeded, but the first one will report.
% 6.45/1.99 % (2910936)Also succeeded, but the first one will report.
% 6.45/1.99 % (2910967)Also succeeded, but the first one will report.
% 6.45/1.99 % (2910935)Refutation found. Thanks to Tanya!
% 6.45/1.99 % SZS status Theorem for theBenchmark
% 6.45/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.56/2.19 % (2910935)------------------------------
% 8.56/2.19 % (2910935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.19 % (2910935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.19 % (2910935)CaDiCaL version: 2.1.3
% 8.56/2.19 % (2910935)Termination reason: Refutation
% 8.56/2.19 % (2910935)Time elapsed: 0.691 s
% 8.56/2.19 % (2910935)Peak memory usage: 128 MB
% 8.56/2.19 % (2910935)Instructions burned: 1022 (million)
% 8.56/2.19 % (2910935)------------------------------
% 8.56/2.19 % (2910935)------------------------------
% 8.56/2.19 % (2910929)Success in time 1.128 s
% 8.56/2.19 % Vampire exiting
%------------------------------------------------------------------------------