%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG090+2 : 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 12:35:28 PM UTC 2026
% Result : Theorem 2.27s 1.18s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 91 ( 36 unt; 0 def)
% Number of atoms : 240 ( 45 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 244 ( 95 ~; 78 |; 54 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 69 ( 61 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f25,axiom,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
fof(f26,axiom,
( ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
fof(f27,axiom,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__934) ).
fof(f28,axiom,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& xy = sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__967) ).
fof(f29,axiom,
( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__994) ).
fof(f31,conjecture,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f32,negated_conjecture,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f33,plain,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) )
& ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) ) ) )
& aIdeal0(xJ) ),
inference(rectify,[],[f25]) ).
fof(f34,plain,
( ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& xy = sdtpldt0(X2,X3) )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(rectify,[],[f26]) ).
fof(f35,plain,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(flattening,[],[f32]) ).
fof(f41,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5) ) )
| ~ aElementOf0(X3,xJ) )
& aIdeal0(xJ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f45,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f46,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f48,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f50,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f49]) ).
fof(f65,plain,
( aElementOf0(sK2,xI)
& aElementOf0(sK3,xJ)
& xx = sdtpldt0(sK2,sK3)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(sK4,xI)
& aElementOf0(sK5,xJ)
& xy = sdtpldt0(sK4,sK5)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f34]) ).
fof(f76,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f41]) ).
fof(f80,plain,
aSet0(xI),
inference(cnf_transformation,[],[f41]) ).
fof(f83,plain,
xy = sdtpldt0(sK4,sK5),
inference(cnf_transformation,[],[f65]) ).
fof(f84,plain,
aElementOf0(sK5,xJ),
inference(cnf_transformation,[],[f65]) ).
fof(f85,plain,
aElementOf0(sK4,xI),
inference(cnf_transformation,[],[f65]) ).
fof(f87,plain,
xx = sdtpldt0(sK2,sK3),
inference(cnf_transformation,[],[f65]) ).
fof(f88,plain,
aElementOf0(sK3,xJ),
inference(cnf_transformation,[],[f65]) ).
fof(f89,plain,
aElementOf0(sK2,xI),
inference(cnf_transformation,[],[f65]) ).
fof(f90,plain,
xx = sdtpldt0(xk,xl),
inference(cnf_transformation,[],[f27]) ).
fof(f91,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f92,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f93,plain,
xy = sdtpldt0(xm,xn),
inference(cnf_transformation,[],[f28]) ).
fof(f94,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f95,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f28]) ).
fof(f96,plain,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(cnf_transformation,[],[f29]) ).
fof(f100,plain,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f105,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f106,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f107,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f108,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f131,plain,
( aElement0(sdtpldt0(xl,xn))
| ~ aSet0(xJ) ),
inference(resolution,[],[f105,f96]) ).
fof(f137,plain,
( aElement0(xk)
| ~ aSet0(xI) ),
inference(resolution,[],[f105,f92]) ).
fof(f138,plain,
( aElement0(xl)
| ~ aSet0(xJ) ),
inference(resolution,[],[f105,f91]) ).
fof(f139,plain,
( aElement0(xm)
| ~ aSet0(xI) ),
inference(resolution,[],[f105,f95]) ).
fof(f140,plain,
( aElement0(xn)
| ~ aSet0(xJ) ),
inference(resolution,[],[f105,f94]) ).
fof(f141,plain,
( aElement0(sK2)
| ~ aSet0(xI) ),
inference(resolution,[],[f105,f89]) ).
fof(f142,plain,
( aElement0(sK3)
| ~ aSet0(xJ) ),
inference(resolution,[],[f105,f88]) ).
fof(f143,plain,
( aElement0(sK4)
| ~ aSet0(xI) ),
inference(resolution,[],[f105,f85]) ).
fof(f144,plain,
( aElement0(sK5)
| ~ aSet0(xJ) ),
inference(resolution,[],[f105,f84]) ).
fof(f145,plain,
aElement0(sK5),
inference(forward_subsumption_resolution,[],[f144,f76]) ).
fof(f146,plain,
aElement0(sK4),
inference(forward_subsumption_resolution,[],[f143,f80]) ).
fof(f147,plain,
aElement0(sK3),
inference(forward_subsumption_resolution,[],[f142,f76]) ).
fof(f148,plain,
aElement0(sK2),
inference(forward_subsumption_resolution,[],[f141,f80]) ).
fof(f149,plain,
aElement0(xn),
inference(forward_subsumption_resolution,[],[f140,f76]) ).
fof(f150,plain,
aElement0(xm),
inference(forward_subsumption_resolution,[],[f139,f80]) ).
fof(f151,plain,
aElement0(xl),
inference(forward_subsumption_resolution,[],[f138,f76]) ).
fof(f152,plain,
aElement0(xk),
inference(forward_subsumption_resolution,[],[f137,f80]) ).
fof(f156,plain,
aElement0(sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[],[f131,f76]) ).
fof(f159,plain,
( aElement0(xx)
| ~ aElement0(sK2)
| ~ aElement0(sK3) ),
inference(superposition,[],[f108,f87]) ).
fof(f160,plain,
( aElement0(xy)
| ~ aElement0(sK4)
| ~ aElement0(sK5) ),
inference(superposition,[],[f108,f83]) ).
fof(f161,plain,
( aElement0(xy)
| ~ aElement0(sK5) ),
inference(forward_subsumption_resolution,[],[f160,f146]) ).
fof(f162,plain,
( aElement0(xx)
| ~ aElement0(sK2) ),
inference(forward_subsumption_resolution,[],[f159,f147]) ).
fof(f163,plain,
aElement0(xy),
inference(forward_subsumption_resolution,[],[f161,f145]) ).
fof(f203,plain,
( sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xm,xk),sdtpldt0(xl,xn))
| ~ aElement0(xm)
| ~ aElement0(xk) ),
inference(superposition,[],[f100,f107]) ).
fof(f211,plain,
( sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xm,xk),sdtpldt0(xl,xn))
| ~ aElement0(xk) ),
inference(forward_subsumption_resolution,[],[f203,f150]) ).
fof(f219,plain,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xm,xk),sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[],[f211,f152]) ).
fof(f295,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[],[f162,f148]) ).
fof(f311,plain,
! [X0] :
( sdtpldt0(xk,sdtpldt0(xl,X0)) = sdtpldt0(xx,X0)
| ~ aElement0(xk)
| ~ aElement0(xl)
| ~ aElement0(X0) ),
inference(superposition,[],[f106,f90]) ).
fof(f312,plain,
! [X0] :
( sdtpldt0(xm,sdtpldt0(xn,X0)) = sdtpldt0(xy,X0)
| ~ aElement0(xm)
| ~ aElement0(xn)
| ~ aElement0(X0) ),
inference(superposition,[],[f106,f93]) ).
fof(f319,plain,
( sdtpldt0(xx,xy) != sdtpldt0(xm,sdtpldt0(xk,sdtpldt0(xl,xn)))
| ~ aElement0(xm)
| ~ aElement0(xk)
| ~ aElement0(sdtpldt0(xl,xn)) ),
inference(superposition,[],[f219,f106]) ).
fof(f344,plain,
( sdtpldt0(xx,xy) != sdtpldt0(xm,sdtpldt0(xk,sdtpldt0(xl,xn)))
| ~ aElement0(xk)
| ~ aElement0(sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[],[f319,f150]) ).
fof(f351,plain,
! [X0] :
( sdtpldt0(xm,sdtpldt0(xn,X0)) = sdtpldt0(xy,X0)
| ~ aElement0(xn)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f312,f150]) ).
fof(f352,plain,
! [X0] :
( sdtpldt0(xk,sdtpldt0(xl,X0)) = sdtpldt0(xx,X0)
| ~ aElement0(xl)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f311,f152]) ).
fof(f357,plain,
( sdtpldt0(xx,xy) != sdtpldt0(xm,sdtpldt0(xk,sdtpldt0(xl,xn)))
| ~ aElement0(sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[],[f344,f152]) ).
fof(f362,plain,
! [X0] :
( sdtpldt0(xm,sdtpldt0(xn,X0)) = sdtpldt0(xy,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f351,f149]) ).
fof(f363,plain,
! [X0] :
( sdtpldt0(xk,sdtpldt0(xl,X0)) = sdtpldt0(xx,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f352,f151]) ).
fof(f367,plain,
sdtpldt0(xx,xy) != sdtpldt0(xm,sdtpldt0(xk,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[],[f357,f156]) ).
fof(f617,plain,
! [X0] :
( sdtpldt0(xy,X0) = sdtpldt0(xm,sdtpldt0(X0,xn))
| ~ aElement0(X0)
| ~ aElement0(xn)
| ~ aElement0(X0) ),
inference(superposition,[],[f362,f107]) ).
fof(f628,plain,
! [X0] :
( sdtpldt0(xy,X0) = sdtpldt0(xm,sdtpldt0(X0,xn))
| ~ aElement0(X0)
| ~ aElement0(xn) ),
inference(duplicate_literal_removal,[],[f617]) ).
fof(f635,plain,
! [X0] :
( sdtpldt0(xy,X0) = sdtpldt0(xm,sdtpldt0(X0,xn))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f628,f149]) ).
fof(f643,plain,
( sdtpldt0(xx,xy) != sdtpldt0(xm,sdtpldt0(xx,xn))
| ~ aElement0(xn) ),
inference(superposition,[],[f367,f363]) ).
fof(f659,plain,
sdtpldt0(xx,xy) != sdtpldt0(xm,sdtpldt0(xx,xn)),
inference(forward_subsumption_resolution,[],[f643,f149]) ).
fof(f1224,plain,
( sdtpldt0(xx,xy) != sdtpldt0(xy,xx)
| ~ aElement0(xx) ),
inference(superposition,[],[f659,f635]) ).
fof(f1249,plain,
sdtpldt0(xx,xy) != sdtpldt0(xy,xx),
inference(forward_subsumption_resolution,[],[f1224,f295]) ).
fof(f1277,plain,
( sdtpldt0(xx,xy) != sdtpldt0(xx,xy)
| ~ aElement0(xy)
| ~ aElement0(xx) ),
inference(superposition,[],[f1249,f107]) ).
fof(f1278,plain,
( ~ aElement0(xy)
| ~ aElement0(xx) ),
inference(trivial_inequality_removal,[],[f1277]) ).
fof(f1280,plain,
~ aElement0(xx),
inference(forward_subsumption_resolution,[],[f1278,f163]) ).
fof(f1282,plain,
$false,
inference(forward_subsumption_resolution,[],[f1280,f295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG090+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 23:11:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.27/1.18 % (1879015)Detected formulas, will run a generic FOF schedule.
% 2.27/1.18 % (1879024)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1677081438:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.27/1.18 % (1879024)First to succeed.
% 2.27/1.18 % (1879024)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1879015"
% 2.27/1.18 % (1879020)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=2285121752:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.27/1.18 % (1879022)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=2917913003:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.27/1.18 % (1879023)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1256177526:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.27/1.18 % (1879021)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=83119192:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.27/1.18 % (1879025)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1544113302:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.27/1.18 % (1879026)dis-21_1_sil=8000:lcm=predicate:random_seed=3042881515: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)
% 2.27/1.18 % (1879023)Also succeeded, but the first one will report.
% 2.27/1.18 % (1879026)Instruction limit reached!
% 2.27/1.18 % (1879026)------------------------------
% 2.27/1.18 % (1879026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.18 % (1879026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.18 % (1879026)CaDiCaL version: 2.1.3
% 2.27/1.18 % (1879026)Termination reason: Instruction limit
% 2.27/1.18 % (1879026)Termination phase: Saturation
% 2.27/1.18 % (1879026)Time elapsed: 0.067 s
% 2.27/1.18 % (1879026)Peak memory usage: 89 MB
% 2.27/1.18 % (1879026)Instructions burned: 130 (million)
% 2.27/1.18 % (1879025)Instruction limit reached!
% 2.27/1.18 % (1879025)------------------------------
% 2.27/1.18 % (1879025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.18 % (1879025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.18 % (1879025)CaDiCaL version: 2.1.3
% 2.27/1.18 % (1879025)Termination reason: Instruction limit
% 2.27/1.18 % (1879025)Termination phase: Saturation
% 2.27/1.18 % (1879025)Time elapsed: 0.091 s
% 2.27/1.18 % (1879025)Peak memory usage: 90 MB
% 2.27/1.18 % (1879025)Instructions burned: 139 (million)
% 2.27/1.18 % (1879024)Refutation found. Thanks to Tanya!
% 2.27/1.18 % SZS status Theorem for theBenchmark
% 2.27/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.28 % (1879024)------------------------------
% 2.67/1.28 % (1879024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.28 % (1879024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.28 % (1879024)CaDiCaL version: 2.1.3
% 2.67/1.28 % (1879024)Termination reason: Refutation
% 2.67/1.28 % (1879024)Time elapsed: 0.015 s
% 2.67/1.28 % (1879024)Peak memory usage: 89 MB
% 2.67/1.28 % (1879024)Instructions burned: 42 (million)
% 2.67/1.28 % (1879024)------------------------------
% 2.67/1.28 % (1879024)------------------------------
% 2.67/1.28 % (1879015)Success in time 0.311 s
% 2.67/1.28 % Vampire exiting
%------------------------------------------------------------------------------