%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG071+2 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:23 PM UTC 2026
% Result : Theorem 2.13s 1.13s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 90 ( 29 unt; 0 def)
% Number of atoms : 241 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 278 ( 127 ~; 110 |; 32 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X0)
& sdtlseqdt0(sz0z00,X1) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f42,axiom,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f49,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f61,axiom,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
fof(f62,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f63,negated_conjecture,
~ ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f71,plain,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& xp = sziznziztdt0(xs) ),
inference(ennf_transformation,[],[f42]) ).
fof(f72,plain,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& xq = sziznziztdt0(xt) ),
inference(ennf_transformation,[],[f43]) ).
fof(f73,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f77,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f78,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f77]) ).
fof(f84,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f111,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f111]) ).
fof(f115,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f116,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f117,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f116]) ).
fof(f133,plain,
aVector0(xp),
inference(cnf_transformation,[],[f71]) ).
fof(f137,plain,
aVector0(xq),
inference(cnf_transformation,[],[f72]) ).
fof(f139,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f141,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f142,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f143,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f144,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f145,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f148,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f149,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f150,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f151,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f154,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f155,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f157,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f158,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f159,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f167,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f61]) ).
fof(f168,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f171,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f175,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f201,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f203,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f204,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f205,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f207,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f222,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[],[f175,f142]) ).
fof(f223,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[],[f175,f144]) ).
fof(f224,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[],[f223,f137]) ).
fof(f225,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[],[f222,f133]) ).
fof(f226,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[],[f203,f148]) ).
fof(f227,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[],[f203,f150]) ).
fof(f228,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[],[f227,f141]) ).
fof(f229,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[],[f226,f139]) ).
fof(f435,plain,
! [X0] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xP,xP))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(resolution,[],[f171,f168]) ).
fof(f447,plain,
! [X0] :
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sdtpldt0(xP,xP))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[],[f435,f207]) ).
fof(f454,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(factoring,[],[f447]) ).
fof(f455,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_subsumption_resolution,[],[f454,f167]) ).
fof(f470,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xC)
| ~ aScalar0(xG) ),
inference(superposition,[],[f204,f154]) ).
fof(f472,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(superposition,[],[f204,f158]) ).
fof(f483,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f472,f229]) ).
fof(f485,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xC)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f470,f225]) ).
fof(f491,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f483,f224]) ).
fof(f493,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xC)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f485,f228]) ).
fof(f497,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f491,f149]) ).
fof(f498,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f493,f143]) ).
fof(f500,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[],[f497,f145]) ).
fof(f501,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[],[f498,f151]) ).
fof(f505,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xR)
| ~ aScalar0(xS)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(resolution,[],[f205,f455]) ).
fof(f515,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xS)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_subsumption_resolution,[],[f505,f155]) ).
fof(f519,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[],[f515,f159]) ).
fof(f595,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(resolution,[],[f519,f201]) ).
fof(f596,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xP) ),
inference(duplicate_literal_removal,[],[f595]) ).
fof(f597,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[],[f596,f157]) ).
fof(f623,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(resolution,[],[f597,f201]) ).
fof(f624,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS) ),
inference(forward_subsumption_resolution,[],[f623,f155]) ).
fof(f625,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[],[f624,f159]) ).
fof(f1339,plain,
~ sdtlseqdt0(sz0z00,xR),
inference(resolution,[],[f500,f625]) ).
fof(f1356,plain,
$false,
inference(forward_subsumption_resolution,[],[f501,f1339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG071+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 23:12:33 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.13/1.13 % (3098870)Detected formulas, will run a generic FOF schedule.
% 2.13/1.13 % (3098879)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=247175071:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.13/1.13 % (3098879)First to succeed.
% 2.13/1.13 % (3098879)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3098870"
% 2.13/1.13 % (3098878)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3039279261:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.13/1.13 % (3098876)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=2476203469:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.13/1.13 % (3098875)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=319527196:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.13/1.13 % (3098877)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=715606552:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.13/1.13 % (3098880)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=696707186:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.13/1.13 % (3098881)dis-21_1_sil=8000:lcm=predicate:random_seed=3127509773: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)
% 2.13/1.13 % (3098878)Instruction limit reached!
% 2.13/1.13 % (3098878)------------------------------
% 2.13/1.13 % (3098878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.13 % (3098878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.13 % (3098878)CaDiCaL version: 2.1.3
% 2.13/1.13 % (3098878)Termination reason: Instruction limit
% 2.13/1.13 % (3098878)Termination phase: Saturation
% 2.13/1.13 % (3098878)Time elapsed: 0.059 s
% 2.13/1.13 % (3098878)Peak memory usage: 89 MB
% 2.13/1.13 % (3098878)Instructions burned: 110 (million)
% 2.13/1.13 % (3098881)Instruction limit reached!
% 2.13/1.13 % (3098881)------------------------------
% 2.13/1.13 % (3098881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.13 % (3098881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.13 % (3098881)CaDiCaL version: 2.1.3
% 2.13/1.13 % (3098881)Termination reason: Instruction limit
% 2.13/1.13 % (3098881)Termination phase: Saturation
% 2.13/1.13 % (3098881)Time elapsed: 0.075 s
% 2.13/1.13 % (3098881)Peak memory usage: 90 MB
% 2.13/1.13 % (3098881)Instructions burned: 129 (million)
% 2.13/1.13 % (3098880)Instruction limit reached!
% 2.13/1.13 % (3098880)------------------------------
% 2.13/1.13 % (3098880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.13 % (3098880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.13 % (3098880)CaDiCaL version: 2.1.3
% 2.13/1.13 % (3098880)Termination reason: Instruction limit
% 2.13/1.13 % (3098880)Termination phase: Saturation
% 2.13/1.13 % (3098880)Time elapsed: 0.092 s
% 2.13/1.13 % (3098880)Peak memory usage: 90 MB
% 2.13/1.13 % (3098880)Instructions burned: 140 (million)
% 2.13/1.13 % (3098879)Refutation found. Thanks to Tanya!
% 2.13/1.13 % SZS status Theorem for theBenchmark
% 2.13/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/1.23 % (3098879)------------------------------
% 2.46/1.23 % (3098879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.23 % (3098879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.23 % (3098879)CaDiCaL version: 2.1.3
% 2.46/1.23 % (3098879)Termination reason: Refutation
% 2.46/1.23 % (3098879)Time elapsed: 0.014 s
% 2.46/1.23 % (3098879)Peak memory usage: 88 MB
% 2.46/1.23 % (3098879)Instructions burned: 41 (million)
% 2.46/1.23 % (3098879)------------------------------
% 2.46/1.23 % (3098879)------------------------------
% 2.46/1.23 % (3098870)Success in time 0.278 s
% 2.46/1.23 % Vampire exiting
%------------------------------------------------------------------------------