%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM611+3 : 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 : n013.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 12:15:59 PM UTC 2026
% Result : Theorem 7.33s 2.60s
% Output : Refutation 12.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 87 ( 26 unt; 4 def)
% Number of atoms : 243 ( 54 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 257 ( 101 ~; 90 |; 46 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ( aSet0(X0)
& isFinite0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( isFinite0(X0)
& aElementOf0(X1,X0) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f99,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f103,axiom,
( aElementOf0(xp,xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f104,axiom,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
fof(f107,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) )
& aSubsetOf0(xP,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
fof(f109,conjecture,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f110,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(negated_conjecture,[status(cth)],[f109]) ).
fof(f132,plain,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(rectify,[],[f104]) ).
fof(f133,plain,
xk != sbrdtbr0(xP),
inference(flattening,[],[f110]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f141]) ).
fof(f164,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f165,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f164]) ).
fof(f183,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
| ~ isFinite0(X0)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
| ~ isFinite0(X0)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f187]) ).
fof(f262,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f267,plain,
( aElementOf0(xp,xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& xp = szmzizndt0(xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f268,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(ennf_transformation,[],[f132]) ).
fof(f269,plain,
( ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) )
& aSubsetOf0(xP,xQ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f326,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f183]) ).
fof(f452,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( ( aElementOf0(X1,xP)
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| szmzizndt0(xQ) = X1 )
& ( ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 )
| ~ aElementOf0(X1,xP) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(nnf_transformation,[],[f268]) ).
fof(f453,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( ( aElementOf0(X1,xP)
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| szmzizndt0(xQ) = X1 )
& ( ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 )
| ~ aElementOf0(X1,xP) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(flattening,[],[f452]) ).
fof(f466,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f505,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f520,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f521,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f525,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f600,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f653,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f654,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f848,plain,
xK = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f262]) ).
fof(f851,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f262]) ).
fof(f862,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f267]) ).
fof(f865,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f453]) ).
fof(f871,plain,
aSet0(xP),
inference(cnf_transformation,[],[f453]) ).
fof(f872,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f875,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f269]) ).
fof(f879,plain,
xk != sbrdtbr0(xP),
inference(cnf_transformation,[],[f133]) ).
fof(f939,definition,
sF73 = sbrdtbr0(xP),
introduced(definition,[new_symbols(definition,[sF73])],[function_definition]) ).
fof(f940,plain,
sbrdtbr0(xP) = sF73,
inference(reorient_equations,[],[f939]) ).
fof(f941,plain,
xk != sF73,
inference(definition_folding,[],[f879,f940]) ).
fof(f983,plain,
xP = sdtmndt0(xQ,xp),
inference(superposition,[],[f865,f862]) ).
fof(f991,plain,
( isFinite0(xP)
| ~ aSet0(xQ)
| ~ isFinite0(xQ) ),
inference(resolution,[],[f466,f875]) ).
fof(f996,plain,
( isFinite0(xP)
| ~ isFinite0(xQ) ),
inference(forward_subsumption_resolution,[],[f991,f851]) ).
fof(f1013,definition,
( spl74_10
<=> isFinite0(xP) ),
introduced(definition,[new_symbols(definition,[spl74_10])],[avatar_definition]) ).
fof(f1018,definition,
( spl74_11
<=> isFinite0(xQ) ),
introduced(definition,[new_symbols(definition,[spl74_11])],[avatar_definition]) ).
fof(f1019,plain,
( isFinite0(xQ)
| ~ spl74_11 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1020,plain,
( ~ isFinite0(xQ)
| spl74_11 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1021,plain,
( ~ spl74_11
| spl74_10 ),
inference(avatar_split_clause,[],[f996,f1013,f1018]) ).
fof(f1157,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f505,f653]) ).
fof(f1160,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1157,f654]) ).
fof(f1169,plain,
( ~ isFinite0(xQ)
| sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
| ~ aSet0(xQ) ),
inference(resolution,[],[f525,f872]) ).
fof(f1427,plain,
( aElementOf0(sF73,szNzAzT0)
| ~ isFinite0(xP)
| ~ aSet0(xP) ),
inference(superposition,[],[f521,f940]) ).
fof(f1429,plain,
( aElementOf0(sF73,szNzAzT0)
| ~ isFinite0(xP) ),
inference(forward_subsumption_resolution,[],[f1427,f871]) ).
fof(f1432,definition,
( spl74_46
<=> aElementOf0(sF73,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl74_46])],[avatar_definition]) ).
fof(f1434,plain,
( aElementOf0(sF73,szNzAzT0)
| ~ spl74_46 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1435,plain,
( ~ spl74_10
| spl74_46 ),
inference(avatar_split_clause,[],[f1429,f1432,f1013]) ).
fof(f1750,plain,
( ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[],[f520,f848]) ).
fof(f1752,plain,
( isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(forward_subsumption_resolution,[],[f1750,f600]) ).
fof(f1753,plain,
( ~ aSet0(xQ)
| spl74_11 ),
inference(forward_subsumption_resolution,[],[f1752,f1020]) ).
fof(f1754,plain,
( $false
| spl74_11 ),
inference(forward_subsumption_resolution,[],[f1753,f851]) ).
fof(f1755,plain,
spl74_11,
inference(avatar_contradiction_clause,[],[f1754]) ).
fof(f1757,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
| ~ aSet0(xQ)
| ~ spl74_11 ),
inference(forward_subsumption_resolution,[],[f1169,f1019]) ).
fof(f1764,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
| ~ spl74_11 ),
inference(forward_subsumption_resolution,[],[f1757,f851]) ).
fof(f1771,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
| ~ spl74_11 ),
inference(forward_demodulation,[],[f1764,f983]) ).
fof(f1775,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sF73)
| ~ spl74_11 ),
inference(forward_demodulation,[],[f1771,f940]) ).
fof(f1777,plain,
( xK = szszuzczcdt0(sF73)
| ~ spl74_11 ),
inference(forward_demodulation,[],[f1775,f848]) ).
fof(f1782,plain,
( xK != xK
| xk = sF73
| ~ aElementOf0(sF73,szNzAzT0)
| ~ spl74_11 ),
inference(superposition,[],[f1160,f1777]) ).
fof(f1785,plain,
( xk = sF73
| ~ aElementOf0(sF73,szNzAzT0)
| ~ spl74_11 ),
inference(trivial_inequality_removal,[],[f1782]) ).
fof(f1788,plain,
( ~ aElementOf0(sF73,szNzAzT0)
| ~ spl74_11 ),
inference(forward_subsumption_resolution,[],[f1785,f941]) ).
fof(f1792,plain,
( $false
| ~ spl74_11
| ~ spl74_46 ),
inference(forward_subsumption_resolution,[],[f1788,f1434]) ).
fof(f1793,plain,
( ~ spl74_11
| ~ spl74_46 ),
inference(avatar_contradiction_clause,[],[f1792]) ).
cnf(s8,plain,
( spl74_10
| ~ spl74_11 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s29,plain,
( ~ spl74_10
| spl74_46 ),
inference(sat_conversion,[],[f1435]) ).
cnf(s35,plain,
spl74_11,
inference(sat_conversion,[],[f1755]) ).
cnf(s36,plain,
( ~ spl74_11
| ~ spl74_46 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s37,plain,
~ spl74_46,
inference(rat,[],[s36,s35]) ).
cnf(s38,plain,
~ spl74_10,
inference(rat,[],[s29,s37]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s8,s35,s38]) ).
fof(f1796,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM611+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n013.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:44:37 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 7.33/2.60 % (533548)Detected formulas, will run a generic FOF schedule.
% 7.33/2.60 % (533599)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2459311478:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.33/2.60 % (533597)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=1300180017:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.33/2.60 % (533599)Instruction limit reached!
% 7.33/2.60 % (533599)------------------------------
% 7.33/2.60 % (533599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533599)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533599)Termination reason: Instruction limit
% 7.33/2.60 % (533599)Termination phase: Saturation
% 7.33/2.60 % (533599)Time elapsed: 0.047 s
% 7.33/2.60 % (533599)Peak memory usage: 90 MB
% 7.33/2.60 % (533599)Instructions burned: 111 (million)
% 7.33/2.60 % (533596)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=3437250170:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.33/2.60 % (533598)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=885410610:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.33/2.60 % (533601)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2080532904:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.33/2.60 % (533602)dis-21_1_sil=8000:lcm=predicate:random_seed=1212922407: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)
% 7.33/2.60 % (533600)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3691030267:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.33/2.60 % (533602)Instruction limit reached!
% 7.33/2.60 % (533602)------------------------------
% 7.33/2.60 % (533602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533602)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533602)Termination reason: Instruction limit
% 7.33/2.60 % (533602)Termination phase: Saturation
% 7.33/2.60 % (533602)Time elapsed: 0.120 s
% 7.33/2.60 % (533602)Peak memory usage: 90 MB
% 7.33/2.60 % (533602)Instructions burned: 129 (million)
% 7.33/2.60 % (533600)Instruction limit reached!
% 7.33/2.60 % (533600)------------------------------
% 7.33/2.60 % (533600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533600)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533600)Termination reason: Instruction limit
% 7.33/2.60 % (533600)Termination phase: Saturation
% 7.33/2.60 % (533600)Time elapsed: 0.132 s
% 7.33/2.60 % (533600)Peak memory usage: 89 MB
% 7.33/2.60 % (533600)Instructions burned: 120 (million)
% 7.33/2.60 % (533611)lrs+10_1_sil=8000:sp=occurrence:random_seed=3649911843:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.33/2.60 % (533601)Instruction limit reached!
% 7.33/2.60 % (533601)------------------------------
% 7.33/2.60 % (533601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533601)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533601)Termination reason: Instruction limit
% 7.33/2.60 % (533601)Termination phase: Saturation
% 7.33/2.60 % (533601)Time elapsed: 0.153 s
% 7.33/2.60 % (533601)Peak memory usage: 90 MB
% 7.33/2.60 % (533601)Instructions burned: 139 (million)
% 7.33/2.60 % (533611)Instruction limit reached!
% 7.33/2.60 % (533611)------------------------------
% 7.33/2.60 % (533611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533611)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533611)Termination reason: Instruction limit
% 7.33/2.60 % (533611)Termination phase: Saturation
% 7.33/2.60 % (533611)Time elapsed: 0.150 s
% 7.33/2.60 % (533611)Peak memory usage: 92 MB
% 7.33/2.60 % (533611)Instructions burned: 286 (million)
% 7.33/2.60 % (533618)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1356979503:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 7.33/2.60 % (533620)lrs+1011_1_sil=32000:sp=occurrence:random_seed=204209418:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.33/2.60 % (533618)Refutation not found, incomplete strategy
% 7.33/2.60 % (533618)------------------------------
% 7.33/2.60 % (533618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533618)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533618)Termination reason: Refutation not found, incomplete strategy
% 7.33/2.60 % (533618)Time elapsed: 0.024 s
% 7.33/2.60 % (533618)Peak memory usage: 89 MB
% 7.33/2.60 % (533618)Instructions burned: 21 (million)
% 7.33/2.60 % (533621)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=980530566:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.33/2.60 % (533625)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=842123979:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.33/2.60 % (533625)Instruction limit reached!
% 7.33/2.60 % (533625)------------------------------
% 7.33/2.60 % (533625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533625)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533625)Termination reason: Instruction limit
% 7.33/2.60 % (533625)Termination phase: Saturation
% 7.33/2.60 % (533625)Time elapsed: 0.157 s
% 7.33/2.60 % (533625)Peak memory usage: 90 MB
% 7.33/2.60 % (533625)Instructions burned: 295 (million)
% 7.33/2.60 % (533621)Instruction limit reached!
% 7.33/2.60 % (533621)------------------------------
% 7.33/2.60 % (533621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533621)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533621)Termination reason: Instruction limit
% 7.33/2.60 % (533621)Termination phase: Saturation
% 7.33/2.60 % (533621)Time elapsed: 0.244 s
% 7.33/2.60 % (533621)Peak memory usage: 92 MB
% 7.33/2.60 % (533621)Instructions burned: 248 (million)
% 7.33/2.60 % (533620)Instruction limit reached!
% 7.33/2.60 % (533620)------------------------------
% 7.33/2.60 % (533620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533620)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533620)Termination reason: Instruction limit
% 7.33/2.60 % (533620)Termination phase: Saturation
% 7.33/2.60 % (533620)Time elapsed: 0.338 s
% 7.33/2.60 % (533620)Peak memory usage: 92 MB
% 7.33/2.60 % (533620)Instructions burned: 325 (million)
% 7.33/2.60 % (533618)------------------------------
% 7.33/2.60 % (533618)------------------------------
% 7.33/2.60 % (533635)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3914598652:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 7.33/2.60 % (533636)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2050306258:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 7.33/2.60 % (533636)Instruction limit reached!
% 7.33/2.60 % (533636)------------------------------
% 7.33/2.60 % (533636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533636)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533636)Termination reason: Instruction limit
% 7.33/2.60 % (533636)Termination phase: Saturation
% 7.33/2.60 % (533636)Time elapsed: 0.065 s
% 7.33/2.60 % (533636)Peak memory usage: 91 MB
% 7.33/2.60 % (533636)Instructions burned: 113 (million)
% 7.33/2.60 % (533637)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=142838113:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 7.33/2.60 % (533638)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1078023421:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 7.33/2.60 % (533637)Instruction limit reached!
% 7.33/2.60 % (533637)------------------------------
% 7.33/2.60 % (533637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533637)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533637)Termination reason: Instruction limit
% 7.33/2.60 % (533637)Termination phase: Saturation
% 7.33/2.60 % (533637)Time elapsed: 0.109 s
% 7.33/2.60 % (533637)Peak memory usage: 89 MB
% 7.33/2.60 % (533637)Instructions burned: 128 (million)
% 7.33/2.60 % (533641)lrs+10_1_sil=8000:sp=occurrence:random_seed=2913894368:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 7.33/2.60 % (533596)First to succeed.
% 7.33/2.60 % (533638)Instruction limit reached!
% 7.33/2.60 % (533638)------------------------------
% 7.33/2.60 % (533638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.60 % (533638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.60 % (533638)CaDiCaL version: 2.1.3
% 7.33/2.60 % (533638)Termination reason: Instruction limit
% 7.33/2.60 % (533638)Termination phase: Saturation
% 7.33/2.60 % (533638)Time elapsed: 0.071 s
% 7.33/2.60 % (533638)Peak memory usage: 89 MB
% 7.33/2.60 % (533638)Instructions burned: 115 (million)
% 7.33/2.60 % (533596)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-533548"
% 7.33/2.60 % (533645)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=775652354:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 7.33/2.60 % (533647)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3603504335:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 7.33/2.60 % (533596)Refutation found. Thanks to Tanya!
% 7.33/2.60 % SZS status Theorem for theBenchmark
% 7.33/2.60 % SZS output start Proof for theBenchmark
% See solution above
% 12.62/2.80 % (533596)------------------------------
% 12.62/2.80 % (533596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/2.80 % (533596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.80 % (533596)CaDiCaL version: 2.1.3
% 12.62/2.80 % (533596)Termination reason: Refutation
% 12.62/2.80 % (533596)Time elapsed: 1.192 s
% 12.62/2.80 % (533596)Peak memory usage: 135 MB
% 12.62/2.80 % (533596)Instructions burned: 1177 (million)
% 12.62/2.80 % (533596)------------------------------
% 12.62/2.80 % (533596)------------------------------
% 12.62/2.80 % (533548)Success in time 1.709 s
% 12.62/2.80 % Vampire exiting
%------------------------------------------------------------------------------