%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG098+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 : 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 12:35:30 PM UTC 2026
% Result : Theorem 4.78s 1.67s
% Output : Refutation 6.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 26 unt; 2 def)
% Number of atoms : 223 ( 15 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 245 ( 99 ~; 89 |; 41 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 59 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f28,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
fof(f30,axiom,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
fof(f31,axiom,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1294) ).
fof(f33,axiom,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1374) ).
fof(f34,axiom,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1393) ).
fof(f35,conjecture,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(flattening,[],[f36]) ).
fof(f38,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(f47,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,[],[f38]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f52,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f53]) ).
fof(f70,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
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)
& ! [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,[],[f47]) ).
fof(f81,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,[],[f80]) ).
fof(f82,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,[],[f81]) ).
fof(f83,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))],[f82]) ).
fof(f95,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f96,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f28]) ).
fof(f98,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f99,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f101,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f102,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f104,plain,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
inference(cnf_transformation,[],[f33]) ).
fof(f105,plain,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(cnf_transformation,[],[f34]) ).
fof(f106,plain,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f37]) ).
fof(f109,plain,
! [X0,X6,X4] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f110,plain,
! [X0,X4,X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f111,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f121,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f124,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f137,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f138,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f210,plain,
aSet0(xJ),
inference(resolution,[],[f95,f111]) ).
fof(f227,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f101,f117]) ).
fof(f228,plain,
aElement0(xb),
inference(forward_subsumption_resolution,[],[f227,f210]) ).
fof(f240,definition,
( spl13_7
<=> aElement0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f241,plain,
( aElement0(smndt0(sz10))
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( ~ aElement0(smndt0(sz10))
| spl13_7 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f324,plain,
( ~ aElement0(sz10)
| spl13_7 ),
inference(resolution,[],[f242,f137]) ).
fof(f325,plain,
( $false
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f324,f138]) ).
fof(f326,plain,
spl13_7,
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f330,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(xx)
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[],[f105,f124]) ).
fof(f331,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[],[f330,f99]) ).
fof(f335,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[],[f331,f228]) ).
fof(f338,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ spl13_7 ),
inference(forward_subsumption_resolution,[],[f335,f241]) ).
fof(f350,plain,
~ aElementOf0(sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),xI),
inference(superposition,[],[f106,f104]) ).
fof(f434,definition,
( spl13_21
<=> aElementOf0(sdtasdt0(xy,xa),xI) ),
introduced(definition,[new_symbols(definition,[spl13_21])],[avatar_definition]) ).
fof(f435,plain,
( aElementOf0(sdtasdt0(xy,xa),xI)
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f436,plain,
( ~ aElementOf0(sdtasdt0(xy,xa),xI)
| spl13_21 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f487,plain,
( ~ aElement0(xy)
| ~ aElementOf0(xa,xI)
| ~ aIdeal0(xI)
| spl13_21 ),
inference(resolution,[],[f436,f109]) ).
fof(f492,plain,
( ~ aElementOf0(xa,xI)
| ~ aIdeal0(xI)
| spl13_21 ),
inference(forward_subsumption_resolution,[],[f487,f98]) ).
fof(f495,plain,
( ~ aIdeal0(xI)
| spl13_21 ),
inference(forward_subsumption_resolution,[],[f492,f102]) ).
fof(f496,plain,
( $false
| spl13_21 ),
inference(forward_subsumption_resolution,[],[f495,f96]) ).
fof(f497,plain,
spl13_21,
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f564,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ aElementOf0(sdtasdt0(xy,xa),xI)
| ~ aIdeal0(xI) ),
inference(resolution,[],[f350,f110]) ).
fof(f581,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ aIdeal0(xI)
| ~ spl13_21 ),
inference(forward_subsumption_resolution,[],[f564,f435]) ).
fof(f596,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ spl13_21 ),
inference(forward_subsumption_resolution,[],[f581,f96]) ).
fof(f681,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(xx)
| ~ spl13_21 ),
inference(superposition,[],[f596,f121]) ).
fof(f688,plain,
( ~ aElement0(xx)
| ~ spl13_7
| ~ spl13_21 ),
inference(forward_subsumption_resolution,[],[f681,f338]) ).
fof(f693,plain,
( $false
| ~ spl13_7
| ~ spl13_21 ),
inference(forward_subsumption_resolution,[],[f688,f99]) ).
fof(f694,plain,
( ~ spl13_7
| ~ spl13_21 ),
inference(avatar_contradiction_clause,[],[f693]) ).
cnf(s12,plain,
spl13_7,
inference(sat_conversion,[],[f326]) ).
cnf(s19,plain,
spl13_21,
inference(sat_conversion,[],[f497]) ).
cnf(s25,plain,
( ~ spl13_7
| ~ spl13_21 ),
inference(sat_conversion,[],[f694]) ).
cnf(s26,plain,
~ spl13_7,
inference(rat,[],[s25,s19]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s12,s26]) ).
fof(f695,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG098+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % 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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:10:36 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.78/1.67 % (3059294)Detected formulas, will run a generic FOF schedule.
% 4.78/1.67 % (3059305)dis-21_1_sil=8000:lcm=predicate:random_seed=4250436019: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)
% 4.78/1.67 % (3059299)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=1524817121:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.78/1.67 % (3059305)Instruction limit reached!
% 4.78/1.67 % (3059305)------------------------------
% 4.78/1.67 % (3059305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059305)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059305)Termination reason: Instruction limit
% 4.78/1.67 % (3059305)Termination phase: Saturation
% 4.78/1.67 % (3059305)Time elapsed: 0.044 s
% 4.78/1.67 % (3059305)Peak memory usage: 90 MB
% 4.78/1.67 % (3059305)Instructions burned: 139 (million)
% 4.78/1.67 % (3059303)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=125565279:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.78/1.67 % (3059304)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=756296473:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.78/1.67 % (3059301)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=56094703:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.78/1.67 % (3059302)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1064353703:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.78/1.67 % (3059300)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=1509286048:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.78/1.67 % (3059302)Refutation not found, incomplete strategy
% 4.78/1.67 % (3059302)------------------------------
% 4.78/1.67 % (3059302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059302)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059302)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.67 % (3059302)Time elapsed: 0.017 s
% 4.78/1.67 % (3059302)Peak memory usage: 89 MB
% 4.78/1.67 % (3059302)Instructions burned: 24 (million)
% 4.78/1.67 % (3059303)Instruction limit reached!
% 4.78/1.67 % (3059303)------------------------------
% 4.78/1.67 % (3059303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059303)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059303)Termination reason: Instruction limit
% 4.78/1.67 % (3059303)Termination phase: Saturation
% 4.78/1.67 % (3059303)Time elapsed: 0.074 s
% 4.78/1.67 % (3059303)Peak memory usage: 88 MB
% 4.78/1.67 % (3059303)Instructions burned: 120 (million)
% 4.78/1.67 % (3059313)lrs+10_1_sil=8000:sp=occurrence:random_seed=2630276233:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.78/1.67 % (3059304)Instruction limit reached!
% 4.78/1.67 % (3059304)------------------------------
% 4.78/1.67 % (3059304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059304)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059304)Termination reason: Instruction limit
% 4.78/1.67 % (3059304)Termination phase: Saturation
% 4.78/1.67 % (3059304)Time elapsed: 0.091 s
% 4.78/1.67 % (3059304)Peak memory usage: 90 MB
% 4.78/1.67 % (3059304)Instructions burned: 139 (million)
% 4.78/1.67 % (3059313)Instruction limit reached!
% 4.78/1.67 % (3059313)------------------------------
% 4.78/1.67 % (3059313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059313)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059313)Termination reason: Instruction limit
% 4.78/1.67 % (3059313)Termination phase: Saturation
% 4.78/1.67 % (3059313)Time elapsed: 0.091 s
% 4.78/1.67 % (3059313)Peak memory usage: 93 MB
% 4.78/1.67 % (3059313)Instructions burned: 286 (million)
% 4.78/1.67 % (3059314)lrs+10_1_sil=32000:urr=on:br=off:random_seed=365838628:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.78/1.67 % (3059316)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4218637670:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.78/1.67 % (3059302)------------------------------
% 4.78/1.67 % (3059302)------------------------------
% 4.78/1.67 % (3059317)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=1477479491:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.78/1.67 % (3059314)Instruction limit reached!
% 4.78/1.67 % (3059314)------------------------------
% 4.78/1.67 % (3059314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059314)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059314)Termination reason: Instruction limit
% 4.78/1.67 % (3059314)Termination phase: Saturation
% 4.78/1.67 % (3059314)Time elapsed: 0.075 s
% 4.78/1.67 % (3059314)Peak memory usage: 91 MB
% 4.78/1.67 % (3059314)Instructions burned: 158 (million)
% 4.78/1.67 % (3059317)Instruction limit reached!
% 4.78/1.67 % (3059317)------------------------------
% 4.78/1.67 % (3059317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059317)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059317)Termination reason: Instruction limit
% 4.78/1.67 % (3059317)Termination phase: Saturation
% 4.78/1.67 % (3059317)Time elapsed: 0.065 s
% 4.78/1.67 % (3059317)Peak memory usage: 94 MB
% 4.78/1.67 % (3059317)Instructions burned: 251 (million)
% 4.78/1.67 % (3059321)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=798492931:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.78/1.67 % (3059321)First to succeed.
% 4.78/1.67 % (3059321)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3059294"
% 4.78/1.67 % (3059322)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1374803139:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.78/1.67 % (3059323)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=417400019:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.78/1.67 % (3059316)Instruction limit reached!
% 4.78/1.67 % (3059316)------------------------------
% 4.78/1.67 % (3059316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059316)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059316)Termination reason: Instruction limit
% 4.78/1.67 % (3059316)Termination phase: Saturation
% 4.78/1.67 % (3059316)Time elapsed: 0.207 s
% 4.78/1.67 % (3059316)Peak memory usage: 94 MB
% 4.78/1.67 % (3059316)Instructions burned: 326 (million)
% 4.78/1.67 % (3059323)Instruction limit reached!
% 4.78/1.67 % (3059323)------------------------------
% 4.78/1.67 % (3059323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059323)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059323)Termination reason: Instruction limit
% 4.78/1.67 % (3059323)Termination phase: Saturation
% 4.78/1.67 % (3059323)Time elapsed: 0.043 s
% 4.78/1.67 % (3059323)Peak memory usage: 91 MB
% 4.78/1.67 % (3059323)Instructions burned: 116 (million)
% 4.78/1.67 % (3059328)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1696897558:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 4.78/1.67 % (3059328)Refutation not found, incomplete strategy
% 4.78/1.67 % (3059328)------------------------------
% 4.78/1.67 % (3059328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059328)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059328)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.67 % (3059328)Time elapsed: 0.001 s
% 4.78/1.67 % (3059328)Peak memory usage: 88 MB
% 4.78/1.67 % (3059328)Instructions burned: 1 (million)
% 4.78/1.67 % (3059327)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4036448263:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.78/1.67 % (3059327)Instruction limit reached!
% 4.78/1.67 % (3059327)------------------------------
% 4.78/1.67 % (3059327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.67 % (3059327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.67 % (3059327)CaDiCaL version: 2.1.3
% 4.78/1.67 % (3059327)Termination reason: Instruction limit
% 4.78/1.67 % (3059327)Termination phase: Saturation
% 4.78/1.67 % (3059327)Time elapsed: 0.063 s
% 4.78/1.67 % (3059327)Peak memory usage: 89 MB
% 4.78/1.67 % (3059327)Instructions burned: 127 (million)
% 4.78/1.67 % (3059321)Refutation found. Thanks to Tanya!
% 4.78/1.67 % SZS status Theorem for theBenchmark
% 4.78/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 6.33/1.86 % (3059321)------------------------------
% 6.33/1.86 % (3059321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.86 % (3059321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.86 % (3059321)CaDiCaL version: 2.1.3
% 6.33/1.86 % (3059321)Termination reason: Refutation
% 6.33/1.86 % (3059321)Time elapsed: 0.014 s
% 6.33/1.86 % (3059321)Peak memory usage: 89 MB
% 6.33/1.86 % (3059321)Instructions burned: 20 (million)
% 6.33/1.86 % (3059321)------------------------------
% 6.33/1.86 % (3059321)------------------------------
% 6.33/1.86 % (3059294)Success in time 0.811 s
% 6.33/1.86 % Vampire exiting
%------------------------------------------------------------------------------