%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM599+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 : n014.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 12:15:55 PM UTC 2026
% Result : Theorem 5.05s 1.63s
% Output : Refutation 5.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 16 unt; 4 def)
% Number of atoms : 234 ( 42 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 293 ( 130 ~; 133 |; 20 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 43 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,szDzozmdt0(X0))
& isCountable0(X1) )
=> ( ! [X2,X3] :
( ( aElementOf0(X2,szDzozmdt0(X0))
& aElementOf0(X3,szDzozmdt0(X0))
& X2 != X3 )
=> sdtlpdtrp0(X0,X2) != sdtlpdtrp0(X0,X3) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f84,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f95,axiom,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f96,axiom,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4930) ).
fof(f97,conjecture,
isCountable0(xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f98,negated_conjecture,
~ isCountable0(xO),
inference(negated_conjecture,[status(cth)],[f97]) ).
fof(f106,plain,
~ isCountable0(xO),
inference(flattening,[],[f98]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& aElementOf0(X2,szDzozmdt0(X0))
& aElementOf0(X3,szDzozmdt0(X0))
& X2 != X3 )
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ isCountable0(X1) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& aElementOf0(X2,szDzozmdt0(X0))
& aElementOf0(X3,szDzozmdt0(X0))
& X2 != X3 )
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ isCountable0(X1) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f202]) ).
fof(f213,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(ennf_transformation,[],[f84]) ).
fof(f214,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(flattening,[],[f213]) ).
fof(f226,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK22(X0)) = sdtlpdtrp0(X0,sK21(X0))
& aElementOf0(sK21(X0),szDzozmdt0(X0))
& aElementOf0(sK22(X0),szDzozmdt0(X0))
& sK21(X0) != sK22(X0) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ isCountable0(X1) )
| ~ aFunction0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0))],[f203]) ).
fof(f434,plain,
! [X0,X1] :
( sK21(X0) != sK22(X0)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f435,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK22(X0),szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ isCountable0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f436,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK21(X0),szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ isCountable0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f437,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK22(X0)) = sdtlpdtrp0(X0,sK21(X0))
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ isCountable0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f464,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f214]) ).
fof(f479,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f480,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f226]) ).
fof(f481,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f226]) ).
fof(f488,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f95]) ).
fof(f490,plain,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f96]) ).
fof(f491,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(cnf_transformation,[],[f96]) ).
fof(f492,plain,
~ isCountable0(xO),
inference(cnf_transformation,[],[f106]) ).
fof(f826,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,sK22(xe)) = sdtlpdtrp0(xe,sK21(xe))
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ isCountable0(X0)
| ~ aFunction0(xe) ),
inference(superposition,[],[f437,f480]) ).
fof(f830,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,sK22(xe)) = sdtlpdtrp0(xe,sK21(xe))
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ isCountable0(X0) ),
inference(forward_subsumption_resolution,[],[f826,f481]) ).
fof(f843,definition,
( spl28_29
<=> sdtlpdtrp0(xe,sK22(xe)) = sdtlpdtrp0(xe,sK21(xe)) ),
introduced(definition,[new_symbols(definition,[spl28_29])],[avatar_definition]) ).
fof(f845,plain,
( sdtlpdtrp0(xe,sK22(xe)) = sdtlpdtrp0(xe,sK21(xe))
| ~ spl28_29 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f847,definition,
( spl28_30
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xe,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_30])],[avatar_definition]) ).
fof(f848,plain,
( ! [X0] :
( isCountable0(sdtlcdtrc0(xe,X0))
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl28_30 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f849,plain,
( spl28_29
| spl28_30 ),
inference(avatar_split_clause,[],[f830,f847,f843]) ).
fof(f928,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK22(xe),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ isCountable0(X0)
| ~ aFunction0(xe) ),
inference(superposition,[],[f435,f480]) ).
fof(f932,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK22(xe),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ isCountable0(X0) ),
inference(forward_subsumption_resolution,[],[f928,f481]) ).
fof(f942,definition,
( spl28_40
<=> aElementOf0(sK22(xe),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl28_40])],[avatar_definition]) ).
fof(f944,plain,
( aElementOf0(sK22(xe),szNzAzT0)
| ~ spl28_40 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f945,plain,
( spl28_40
| spl28_30 ),
inference(avatar_split_clause,[],[f932,f847,f942]) ).
fof(f956,plain,
( isCountable0(xO)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ spl28_30 ),
inference(superposition,[],[f848,f488]) ).
fof(f957,plain,
( ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ spl28_30 ),
inference(forward_subsumption_resolution,[],[f956,f492]) ).
fof(f959,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ spl28_30 ),
inference(forward_subsumption_resolution,[],[f957,f490]) ).
fof(f960,plain,
( $false
| ~ spl28_30 ),
inference(forward_subsumption_resolution,[],[f959,f491]) ).
fof(f961,plain,
~ spl28_30,
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f968,plain,
( sdtlpdtrp0(xe,sK22(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK22(xe)))
| ~ spl28_40 ),
inference(resolution,[],[f944,f479]) ).
fof(f971,plain,
( sdtlpdtrp0(xe,sK21(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK22(xe)))
| ~ spl28_29
| ~ spl28_40 ),
inference(forward_demodulation,[],[f968,f845]) ).
fof(f1019,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK21(xe),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ isCountable0(X0)
| ~ aFunction0(xe) ),
inference(superposition,[],[f436,f480]) ).
fof(f1022,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK21(xe),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ isCountable0(X0) ),
inference(forward_subsumption_resolution,[],[f1019,f481]) ).
fof(f1025,definition,
( spl28_45
<=> aElementOf0(sK21(xe),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl28_45])],[avatar_definition]) ).
fof(f1027,plain,
( aElementOf0(sK21(xe),szNzAzT0)
| ~ spl28_45 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1028,plain,
( spl28_45
| spl28_30 ),
inference(avatar_split_clause,[],[f1022,f847,f1025]) ).
fof(f1031,plain,
( sdtlpdtrp0(xe,sK21(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK21(xe)))
| ~ spl28_45 ),
inference(resolution,[],[f1027,f479]) ).
fof(f1293,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(sK21(xe),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sK21(xe) = X0 )
| ~ spl28_45 ),
inference(superposition,[],[f464,f1031]) ).
fof(f1295,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(X0,szNzAzT0)
| sK21(xe) = X0 )
| ~ spl28_45 ),
inference(forward_subsumption_resolution,[],[f1293,f1027]) ).
fof(f1299,plain,
( sdtlpdtrp0(xe,sK21(xe)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(sK22(xe),szNzAzT0)
| sK22(xe) = sK21(xe)
| ~ spl28_29
| ~ spl28_40
| ~ spl28_45 ),
inference(superposition,[],[f1295,f971]) ).
fof(f1300,plain,
( ~ aElementOf0(sK22(xe),szNzAzT0)
| sK22(xe) = sK21(xe)
| ~ spl28_29
| ~ spl28_40
| ~ spl28_45 ),
inference(trivial_inequality_removal,[],[f1299]) ).
fof(f1301,plain,
( sK22(xe) = sK21(xe)
| ~ spl28_29
| ~ spl28_40
| ~ spl28_45 ),
inference(forward_subsumption_resolution,[],[f1300,f944]) ).
fof(f1307,plain,
( ! [X0] :
( sK21(xe) != sK21(xe)
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ aSubsetOf0(X0,szDzozmdt0(xe))
| ~ isCountable0(X0)
| ~ aFunction0(xe) )
| ~ spl28_29
| ~ spl28_40
| ~ spl28_45 ),
inference(superposition,[],[f434,f1301]) ).
fof(f1308,plain,
( ! [X0] :
( isCountable0(sdtlcdtrc0(xe,X0))
| ~ aSubsetOf0(X0,szDzozmdt0(xe))
| ~ isCountable0(X0)
| ~ aFunction0(xe) )
| ~ spl28_29
| ~ spl28_40
| ~ spl28_45 ),
inference(trivial_inequality_removal,[],[f1307]) ).
fof(f1309,plain,
( ! [X0] :
( isCountable0(sdtlcdtrc0(xe,X0))
| ~ aSubsetOf0(X0,szDzozmdt0(xe))
| ~ isCountable0(X0) )
| ~ spl28_29
| ~ spl28_40
| ~ spl28_45 ),
inference(forward_subsumption_resolution,[],[f1308,f481]) ).
fof(f1310,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ isCountable0(X0) )
| ~ spl28_29
| ~ spl28_40
| ~ spl28_45 ),
inference(forward_demodulation,[],[f1309,f480]) ).
fof(f1311,plain,
( spl28_30
| ~ spl28_29
| ~ spl28_40
| ~ spl28_45 ),
inference(avatar_split_clause,[],[f1310,f1025,f942,f843,f847]) ).
cnf(s22,plain,
( spl28_29
| spl28_30 ),
inference(sat_conversion,[],[f849]) ).
cnf(s30,plain,
( spl28_30
| spl28_40 ),
inference(sat_conversion,[],[f945]) ).
cnf(s33,plain,
~ spl28_30,
inference(sat_conversion,[],[f961]) ).
cnf(s36,plain,
( spl28_30
| spl28_45 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s47,plain,
( ~ spl28_29
| spl28_30
| ~ spl28_40
| ~ spl28_45 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s48,plain,
spl28_45,
inference(rat,[],[s36,s33]) ).
cnf(s49,plain,
spl28_40,
inference(rat,[],[s30,s33]) ).
cnf(s50,plain,
~ spl28_29,
inference(rat,[],[s47,s48,s33,s49]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s22,s33,s50]) ).
fof(f1312,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM599+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n014.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 20:41:17 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 5.05/1.63 % (1143381)Detected formulas, will run a generic FOF schedule.
% 5.05/1.63 % (1143386)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=2459151620:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.05/1.63 % (1143389)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1969807850:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.05/1.63 % (1143390)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4264086815:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.05/1.63 % (1143392)dis-21_1_sil=8000:lcm=predicate:random_seed=1406659040: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)
% 5.05/1.63 % (1143391)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2510340983:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.05/1.63 % (1143388)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=866452636:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.05/1.63 % (1143387)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=2641804570:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.05/1.63 % (1143389)Instruction limit reached!
% 5.05/1.63 % (1143389)------------------------------
% 5.05/1.63 % (1143389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.63 % (1143389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.63 % (1143389)CaDiCaL version: 2.1.3
% 5.05/1.63 % (1143389)Termination reason: Instruction limit
% 5.05/1.63 % (1143389)Termination phase: Saturation
% 5.05/1.63 % (1143389)Time elapsed: 0.062 s
% 5.05/1.63 % (1143389)Peak memory usage: 89 MB
% 5.05/1.63 % (1143389)Instructions burned: 109 (million)
% 5.05/1.63 % (1143390)Instruction limit reached!
% 5.05/1.63 % (1143390)------------------------------
% 5.05/1.63 % (1143390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.63 % (1143390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.63 % (1143390)CaDiCaL version: 2.1.3
% 5.05/1.63 % (1143390)Termination reason: Instruction limit
% 5.05/1.63 % (1143390)Termination phase: Saturation
% 5.05/1.63 % (1143390)Time elapsed: 0.072 s
% 5.05/1.63 % (1143390)Peak memory usage: 89 MB
% 5.05/1.63 % (1143390)Instructions burned: 119 (million)
% 5.05/1.63 % (1143392)Instruction limit reached!
% 5.05/1.63 % (1143392)------------------------------
% 5.05/1.63 % (1143392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.63 % (1143392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.63 % (1143392)CaDiCaL version: 2.1.3
% 5.05/1.63 % (1143392)Termination reason: Instruction limit
% 5.05/1.63 % (1143392)Termination phase: Saturation
% 5.05/1.63 % (1143392)Time elapsed: 0.072 s
% 5.05/1.63 % (1143392)Peak memory usage: 91 MB
% 5.05/1.63 % (1143392)Instructions burned: 129 (million)
% 5.05/1.63 % (1143391)Instruction limit reached!
% 5.05/1.63 % (1143391)------------------------------
% 5.05/1.63 % (1143391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.63 % (1143391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.63 % (1143391)CaDiCaL version: 2.1.3
% 5.05/1.63 % (1143391)Termination reason: Instruction limit
% 5.05/1.63 % (1143391)Termination phase: Saturation
% 5.05/1.63 % (1143391)Time elapsed: 0.102 s
% 5.05/1.63 % (1143391)Peak memory usage: 90 MB
% 5.05/1.63 % (1143391)Instructions burned: 140 (million)
% 5.05/1.63 % (1143400)lrs+10_1_sil=8000:sp=occurrence:random_seed=346623223:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.05/1.63 % (1143402)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1529179159:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.05/1.63 % (1143401)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1694441401:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.05/1.63 % (1143401)Refutation not found, incomplete strategy
% 5.05/1.63 % (1143401)------------------------------
% 5.05/1.63 % (1143401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.63 % (1143401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.63 % (1143401)CaDiCaL version: 2.1.3
% 5.05/1.63 % (1143401)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.63 % (1143401)Time elapsed: 0.002 s
% 5.05/1.63 % (1143401)Peak memory usage: 88 MB
% 5.05/1.63 % (1143401)Instructions burned: 1 (million)
% 5.05/1.63 % (1143403)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=1821671368:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.05/1.63 % (1143400)Instruction limit reached!
% 5.05/1.63 % (1143400)------------------------------
% 5.05/1.63 % (1143400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.63 % (1143400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.63 % (1143400)CaDiCaL version: 2.1.3
% 5.05/1.63 % (1143400)Termination reason: Instruction limit
% 5.05/1.63 % (1143400)Termination phase: Saturation
% 5.05/1.63 % (1143400)Time elapsed: 0.175 s
% 5.05/1.63 % (1143400)Peak memory usage: 92 MB
% 5.05/1.63 % (1143400)Instructions burned: 285 (million)
% 5.05/1.63 % (1143386)First to succeed.
% 5.05/1.63 % (1143386)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1143381"
% 5.05/1.63 % (1143403)Instruction limit reached!
% 5.05/1.63 % (1143403)------------------------------
% 5.05/1.63 % (1143403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.63 % (1143403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.63 % (1143403)CaDiCaL version: 2.1.3
% 5.05/1.63 % (1143403)Termination reason: Instruction limit
% 5.05/1.63 % (1143403)Termination phase: Saturation
% 5.05/1.63 % (1143403)Time elapsed: 0.148 s
% 5.05/1.63 % (1143403)Peak memory usage: 92 MB
% 5.05/1.63 % (1143403)Instructions burned: 249 (million)
% 5.05/1.63 % (1143402)Instruction limit reached!
% 5.05/1.63 % (1143402)------------------------------
% 5.05/1.63 % (1143402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.63 % (1143402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.63 % (1143402)CaDiCaL version: 2.1.3
% 5.05/1.63 % (1143402)Termination reason: Instruction limit
% 5.05/1.63 % (1143402)Termination phase: Saturation
% 5.05/1.63 % (1143402)Time elapsed: 0.220 s
% 5.05/1.63 % (1143402)Peak memory usage: 92 MB
% 5.05/1.63 % (1143402)Instructions burned: 326 (million)
% 5.05/1.63 % (1143401)------------------------------
% 5.05/1.63 % (1143401)------------------------------
% 5.05/1.63 % (1143408)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3208085662:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.05/1.63 % (1143386)Refutation found. Thanks to Tanya!
% 5.05/1.63 % SZS status Theorem for theBenchmark
% 5.05/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.87/1.83 % (1143386)------------------------------
% 5.87/1.83 % (1143386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.83 % (1143386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.83 % (1143386)CaDiCaL version: 2.1.3
% 5.87/1.83 % (1143386)Termination reason: Refutation
% 5.87/1.83 % (1143386)Time elapsed: 0.457 s
% 5.87/1.83 % (1143386)Peak memory usage: 132 MB
% 5.87/1.83 % (1143386)Instructions burned: 1108 (million)
% 5.87/1.83 % (1143386)------------------------------
% 5.87/1.83 % (1143386)------------------------------
% 5.87/1.83 % (1143381)Success in time 0.746 s
% 5.87/1.83 % Vampire exiting
%------------------------------------------------------------------------------