%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG099+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 : 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 12:35:30 PM UTC 2026
% Result : Theorem 2.28s 1.16s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 17 unt; 0 def)
% Number of atoms : 239 ( 3 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 293 ( 121 ~; 112 |; 43 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 92 ( 81 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aIdeal0(X2) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMod) ).
fof(f28,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
fof(f30,axiom,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
fof(f31,axiom,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
fof(f32,axiom,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1319) ).
fof(f33,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1332) ).
fof(f34,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
fof(f35,conjecture,
? [X0] :
( aElement0(X0)
& sdteqdtlpzmzozddtrp0(X0,xx,xI)
& sdteqdtlpzmzozddtrp0(X0,xy,xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& sdteqdtlpzmzozddtrp0(X0,xx,xI)
& sdteqdtlpzmzozddtrp0(X0,xy,xJ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f42,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f43,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f54,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f55,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f54]) ).
fof(f62,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f63,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f62]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(flattening,[],[f66]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f78,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f79,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK2(X0),sK3(X0)),X0)
& aElementOf0(sK3(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK4(X0),sK2(X0)),X0)
& aElement0(sK4(X0)) ) )
& aElementOf0(sK2(X0),X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0))],[f80]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
& ( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(nnf_transformation,[],[f67]) ).
fof(f90,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f91,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f28]) ).
fof(f93,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f94,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f96,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f97,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f98,plain,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(cnf_transformation,[],[f32]) ).
fof(f99,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f33]) ).
fof(f100,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(cnf_transformation,[],[f34]) ).
fof(f101,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f102,plain,
! [X0,X6,X4] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f104,plain,
! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f131,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f136,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f146,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f159,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f146,f96]) ).
fof(f189,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| aElement0(xw)
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(superposition,[],[f131,f98]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,X2)
| ~ aIdeal0(X2)
| aElement0(sdtasdt0(X0,X1))
| ~ aSet0(X2) ),
inference(resolution,[],[f102,f146]) ).
fof(f321,plain,
! [X2,X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElementOf0(X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f306,f104]) ).
fof(f356,plain,
! [X0] :
( ~ aElementOf0(xa,X0)
| ~ aIdeal0(X0)
| ~ aElement0(xy)
| aElement0(xw)
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(resolution,[],[f321,f189]) ).
fof(f372,plain,
! [X0] :
( ~ aElement0(sdtasdt0(xx,xb))
| ~ aIdeal0(X0)
| aElement0(xw)
| ~ aElementOf0(xa,X0) ),
inference(forward_subsumption_resolution,[],[f356,f93]) ).
fof(f391,plain,
! [X0] :
( ~ aIdeal0(X0)
| aElement0(xw)
| ~ aElementOf0(xa,X0)
| ~ aElement0(xx)
| ~ aElement0(xb) ),
inference(resolution,[],[f372,f136]) ).
fof(f396,plain,
! [X0] :
( ~ aElementOf0(xa,X0)
| aElement0(xw)
| ~ aIdeal0(X0)
| ~ aElement0(xb) ),
inference(forward_subsumption_resolution,[],[f391,f94]) ).
fof(f412,plain,
( aElement0(xw)
| ~ aIdeal0(xI)
| ~ aElement0(xb) ),
inference(resolution,[],[f396,f97]) ).
fof(f416,plain,
( aElement0(xw)
| ~ aElement0(xb) ),
inference(forward_subsumption_resolution,[],[f412,f91]) ).
fof(f449,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw)
| ~ aElement0(xx)
| ~ aIdeal0(xI) ),
inference(resolution,[],[f141,f99]) ).
fof(f450,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aElement0(xw)
| ~ aElement0(xy)
| ~ aIdeal0(xJ) ),
inference(resolution,[],[f141,f100]) ).
fof(f473,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aElement0(xw)
| ~ aIdeal0(xJ) ),
inference(forward_subsumption_resolution,[],[f450,f93]) ).
fof(f474,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw)
| ~ aIdeal0(xI) ),
inference(forward_subsumption_resolution,[],[f449,f94]) ).
fof(f477,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aElement0(xw) ),
inference(forward_subsumption_resolution,[],[f473,f90]) ).
fof(f478,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw) ),
inference(forward_subsumption_resolution,[],[f474,f91]) ).
fof(f479,plain,
( ~ aElement0(xw)
| ~ sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw) ),
inference(resolution,[],[f477,f101]) ).
fof(f480,plain,
( ~ sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw) ),
inference(duplicate_literal_removal,[],[f479]) ).
fof(f538,plain,
~ aElement0(xw),
inference(forward_subsumption_resolution,[],[f478,f480]) ).
fof(f600,plain,
~ aElement0(xb),
inference(resolution,[],[f538,f416]) ).
fof(f605,plain,
~ aSet0(xJ),
inference(resolution,[],[f600,f159]) ).
fof(f609,plain,
~ aIdeal0(xJ),
inference(resolution,[],[f605,f104]) ).
fof(f610,plain,
$false,
inference(forward_subsumption_resolution,[],[f609,f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG099+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 23:12:55 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.28/1.16 % (1880373)Detected formulas, will run a generic FOF schedule.
% 2.28/1.16 % (1880382)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3689562023:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.28/1.16 % (1880382)First to succeed.
% 2.28/1.16 % (1880382)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1880373"
% 2.28/1.16 % (1880380)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=651560516:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.28/1.16 % (1880379)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=2518149202:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.28/1.16 % (1880378)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=1791899159:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.28/1.16 % (1880381)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2194177630:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.28/1.16 % (1880384)dis-21_1_sil=8000:lcm=predicate:random_seed=3986293352: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)
% 2.28/1.16 % (1880383)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3519735932:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.28/1.16 % (1880383)Also succeeded, but the first one will report.
% 2.28/1.16 % (1880381)Instruction limit reached!
% 2.28/1.16 % (1880381)------------------------------
% 2.28/1.16 % (1880381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.16 % (1880381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.16 % (1880381)CaDiCaL version: 2.1.3
% 2.28/1.16 % (1880381)Termination reason: Instruction limit
% 2.28/1.16 % (1880381)Termination phase: Saturation
% 2.28/1.16 % (1880381)Time elapsed: 0.071 s
% 2.28/1.16 % (1880381)Peak memory usage: 89 MB
% 2.28/1.16 % (1880381)Instructions burned: 110 (million)
% 2.28/1.16 % (1880384)Instruction limit reached!
% 2.28/1.16 % (1880384)------------------------------
% 2.28/1.16 % (1880384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.16 % (1880384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.16 % (1880384)CaDiCaL version: 2.1.3
% 2.28/1.16 % (1880384)Termination reason: Instruction limit
% 2.28/1.16 % (1880384)Termination phase: Saturation
% 2.28/1.16 % (1880384)Time elapsed: 0.072 s
% 2.28/1.16 % (1880384)Peak memory usage: 90 MB
% 2.28/1.16 % (1880384)Instructions burned: 129 (million)
% 2.28/1.16 % (1880382)Refutation found. Thanks to Tanya!
% 2.28/1.16 % SZS status Theorem for theBenchmark
% 2.28/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.36 % (1880382)------------------------------
% 2.66/1.36 % (1880382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.36 % (1880382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.36 % (1880382)CaDiCaL version: 2.1.3
% 2.66/1.36 % (1880382)Termination reason: Refutation
% 2.66/1.36 % (1880382)Time elapsed: 0.007 s
% 2.66/1.36 % (1880382)Peak memory usage: 88 MB
% 2.66/1.36 % (1880382)Instructions burned: 17 (million)
% 2.66/1.36 % (1880382)------------------------------
% 2.66/1.36 % (1880382)------------------------------
% 2.66/1.36 % (1880373)Success in time 0.29 s
% 2.66/1.36 % Vampire exiting
%------------------------------------------------------------------------------