%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN066+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:26:42 PM UTC 2026
% Result : Theorem 2.72s 1.32s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 97 ( 12 unt; 4 def)
% Number of atoms : 261 ( 97 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 267 ( 103 ~; 142 |; 18 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 83 ( 0 sgn 75 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X1 != X0 )
| ( r1(X1)
& X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X2 != X1 )
| ( r2(X0,X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f7,axiom,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ~ r2(X0,X3)
| X3 != X2 )
| ~ r2(X1,X2) )
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).
fof(f11,axiom,
! [X0,X1] :
( ! [X2] :
( ~ r1(X2)
| X2 != X1 )
| ~ r2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f12,conjecture,
? [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| ~ r2(X2,X1) )
| X0 != X1 )
& ! [X4] :
( ~ r1(X4)
| X0 != X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerononetwoexist) ).
fof(f13,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| ~ r2(X2,X1) )
| X0 != X1 )
& ! [X4] :
( ~ r1(X4)
| X0 != X4 ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( r1(X3)
& r2(X3,X2) )
& r2(X2,X1) )
& X0 = X1 )
| ? [X4] :
( r1(X4)
& X0 = X4 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f15,plain,
! [X1] :
( ( ~ r1(X1)
& sK0 != X1 )
| ( r1(X1)
& sK0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f16,plain,
! [X0,X2] :
( ( ~ r2(X0,X2)
& sK1(X0) != X2 )
| ( r2(X0,X2)
& sK1(X0) = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).
fof(f24,plain,
! [X0] :
( ( r1(sK22(X0))
& r2(sK22(X0),sK21(X0))
& r2(sK21(X0),sK20(X0))
& sK20(X0) = X0 )
| ( r1(sK23(X0))
& sK23(X0) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0)),skolemize(X4,sK23(X0))],[f14]) ).
fof(f26,plain,
! [X1] :
( sK0 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
! [X1] :
( ~ r1(X1)
| sK0 = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X2,X0] :
( sK1(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X3)
| X2 != X3
| ~ r2(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f7]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| X1 != X2
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f64,plain,
! [X0] :
( sK20(X0) = X0
| sK23(X0) = X0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f65,plain,
! [X0] :
( r1(sK23(X0))
| sK20(X0) = X0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f66,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| sK23(X0) = X0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f67,plain,
! [X0] :
( r1(sK23(X0))
| r2(sK21(X0),sK20(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f68,plain,
! [X0] :
( r2(sK22(X0),sK21(X0))
| sK23(X0) = X0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f69,plain,
! [X0] :
( r2(sK22(X0),sK21(X0))
| r1(sK23(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f71,plain,
! [X0] :
( r1(sK23(X0))
| r1(sK22(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f72,plain,
r1(sK0),
inference(equality_resolution,[],[f26]) ).
fof(f74,plain,
! [X0] : r2(X0,sK1(X0)),
inference(equality_resolution,[],[f30]) ).
fof(f80,plain,
! [X3,X0,X1] :
( ~ r2(X0,X3)
| ~ r2(X1,X3)
| X0 = X1 ),
inference(equality_resolution,[],[f51]) ).
fof(f81,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f63]) ).
fof(f82,plain,
! [X0] :
( r2(sK21(X0),X0)
| sK23(X0) = X0
| sK23(X0) = X0 ),
inference(superposition,[],[f66,f64]) ).
fof(f83,plain,
! [X0] :
( r2(sK21(X0),X0)
| sK23(X0) = X0 ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f89,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| sK0 = sK23(X0) ),
inference(resolution,[],[f27,f67]) ).
fof(f90,plain,
! [X0] :
( sK20(X0) = X0
| sK0 = sK23(X0) ),
inference(resolution,[],[f27,f65]) ).
fof(f91,plain,
! [X0] :
( r1(sK22(X0))
| sK0 = sK23(X0) ),
inference(resolution,[],[f27,f71]) ).
fof(f92,plain,
! [X0] :
( sK0 = sK22(X0)
| sK0 = sK23(X0) ),
inference(resolution,[],[f91,f27]) ).
fof(f103,plain,
! [X0] :
( ~ r1(sK21(X0))
| sK23(X0) = X0 ),
inference(resolution,[],[f81,f68]) ).
fof(f105,plain,
! [X0] :
( ~ r1(sK20(X0))
| sK23(X0) = X0 ),
inference(resolution,[],[f81,f66]) ).
fof(f107,plain,
! [X0] : ~ r1(sK1(X0)),
inference(resolution,[],[f81,f74]) ).
fof(f123,plain,
! [X0] :
( r2(sK0,sK21(X0))
| r1(sK23(X0))
| sK0 = sK23(X0) ),
inference(superposition,[],[f69,f92]) ).
fof(f126,plain,
! [X0] :
( r2(sK0,sK21(X0))
| sK0 = sK23(X0) ),
inference(forward_subsumption_resolution,[],[f123,f27]) ).
fof(f130,plain,
! [X0] :
( ~ r1(sK21(X0))
| sK0 = sK23(X0) ),
inference(resolution,[],[f126,f81]) ).
fof(f144,plain,
! [X0] :
( r2(sK21(X0),X0)
| sK0 = sK23(X0)
| sK0 = sK23(X0) ),
inference(superposition,[],[f89,f90]) ).
fof(f146,plain,
! [X0] :
( r2(sK21(X0),X0)
| sK0 = sK23(X0) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f227,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| sK21(X1) = X0
| sK0 = sK23(X1) ),
inference(resolution,[],[f80,f146]) ).
fof(f228,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| sK21(X1) = X0
| sK23(X1) = X1 ),
inference(resolution,[],[f80,f83]) ).
fof(f245,plain,
! [X0] :
( sK1(X0) = sK23(sK1(X0))
| sK21(sK1(X0)) = X0 ),
inference(resolution,[],[f228,f74]) ).
fof(f252,plain,
! [X0] :
( sK20(X0) = sK23(sK20(X0))
| sK21(X0) = sK21(sK20(X0))
| sK23(X0) = X0 ),
inference(resolution,[],[f228,f66]) ).
fof(f398,plain,
! [X0] :
( sK0 = sK23(sK1(X0))
| sK21(sK1(X0)) = X0 ),
inference(resolution,[],[f227,f74]) ).
fof(f428,plain,
! [X0] :
( sK0 = sK1(X0)
| sK21(sK1(X0)) = X0
| sK21(sK1(X0)) = X0 ),
inference(superposition,[],[f245,f398]) ).
fof(f436,plain,
! [X0] :
( sK0 = sK1(X0)
| sK21(sK1(X0)) = X0 ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f444,plain,
! [X0] :
( ~ r1(sK0)
| sK21(sK1(X0)) = X0 ),
inference(superposition,[],[f107,f436]) ).
fof(f465,definition,
( spl24_3
<=> ! [X0] : sK21(sK1(X0)) = X0 ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f466,plain,
( ! [X0] : sK21(sK1(X0)) = X0
| ~ spl24_3 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f487,plain,
! [X0] : sK21(sK1(X0)) = X0,
inference(forward_subsumption_resolution,[],[f444,f72]) ).
fof(f488,plain,
spl24_3,
inference(avatar_split_clause,[],[f487,f465]) ).
fof(f513,plain,
( ! [X0] :
( ~ r1(X0)
| sK0 = sK23(sK1(X0)) )
| ~ spl24_3 ),
inference(superposition,[],[f130,f466]) ).
fof(f554,plain,
( sK0 = sK23(sK1(sK0))
| ~ spl24_3 ),
inference(resolution,[],[f513,f72]) ).
fof(f595,definition,
( spl24_9
<=> sK0 = sK1(sK0) ),
introduced(definition,[new_symbols(definition,[spl24_9])],[avatar_definition]) ).
fof(f596,plain,
( sK0 != sK1(sK0)
| spl24_9 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f597,plain,
( sK0 = sK1(sK0)
| ~ spl24_9 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f653,definition,
( spl24_10
<=> r1(sK23(sK20(sK1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).
fof(f654,plain,
( ~ r1(sK23(sK20(sK1(sK0))))
| spl24_10 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f655,plain,
( r1(sK23(sK20(sK1(sK0))))
| ~ spl24_10 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f678,plain,
( ~ r1(sK0)
| ~ spl24_9 ),
inference(superposition,[],[f107,f597]) ).
fof(f691,plain,
( $false
| ~ spl24_9 ),
inference(forward_subsumption_resolution,[],[f678,f72]) ).
fof(f692,plain,
~ spl24_9,
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f736,plain,
( ~ r1(sK23(sK1(sK0)))
| sK1(sK0) = sK23(sK1(sK0))
| spl24_10 ),
inference(superposition,[],[f654,f64]) ).
fof(f748,plain,
( ~ r1(sK0)
| sK1(sK0) = sK23(sK1(sK0))
| ~ spl24_3
| spl24_10 ),
inference(forward_demodulation,[],[f736,f554]) ).
fof(f751,plain,
( sK1(sK0) = sK23(sK1(sK0))
| ~ spl24_3
| spl24_10 ),
inference(forward_subsumption_resolution,[],[f748,f72]) ).
fof(f752,plain,
( sK0 = sK1(sK0)
| ~ spl24_3
| spl24_10 ),
inference(forward_demodulation,[],[f751,f554]) ).
fof(f753,plain,
( $false
| ~ spl24_3
| spl24_9
| spl24_10 ),
inference(forward_subsumption_resolution,[],[f752,f596]) ).
fof(f754,plain,
( ~ spl24_3
| spl24_9
| spl24_10 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f757,plain,
( sK0 = sK23(sK20(sK1(sK0)))
| ~ spl24_10 ),
inference(resolution,[],[f655,f27]) ).
fof(f858,definition,
( spl24_19
<=> sK0 = sK20(sK1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl24_19])],[avatar_definition]) ).
fof(f859,plain,
( sK0 != sK20(sK1(sK0))
| spl24_19 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f860,plain,
( sK0 = sK20(sK1(sK0))
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f1125,plain,
( sK0 = sK1(sK0)
| sK1(sK0) = sK23(sK1(sK0))
| ~ spl24_19 ),
inference(superposition,[],[f860,f64]) ).
fof(f1151,plain,
( sK1(sK0) = sK23(sK1(sK0))
| spl24_9
| ~ spl24_19 ),
inference(forward_subsumption_resolution,[],[f1125,f596]) ).
fof(f1156,plain,
( sK0 = sK1(sK0)
| ~ spl24_3
| spl24_9
| ~ spl24_19 ),
inference(forward_demodulation,[],[f1151,f554]) ).
fof(f1163,plain,
( $false
| ~ spl24_3
| spl24_9
| ~ spl24_19 ),
inference(forward_subsumption_resolution,[],[f1156,f596]) ).
fof(f1164,plain,
( ~ spl24_3
| spl24_9
| ~ spl24_19 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1434,plain,
( r1(sK20(sK1(sK0)))
| sK21(sK1(sK0)) = sK21(sK20(sK1(sK0)))
| sK1(sK0) = sK23(sK1(sK0))
| ~ spl24_10 ),
inference(superposition,[],[f655,f252]) ).
fof(f1455,plain,
( sK21(sK1(sK0)) = sK21(sK20(sK1(sK0)))
| sK1(sK0) = sK23(sK1(sK0))
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f1434,f105]) ).
fof(f1461,plain,
( sK0 = sK21(sK20(sK1(sK0)))
| sK1(sK0) = sK23(sK1(sK0))
| ~ spl24_3
| ~ spl24_10 ),
inference(forward_demodulation,[],[f1455,f466]) ).
fof(f1471,plain,
( sK0 = sK1(sK0)
| sK0 = sK21(sK20(sK1(sK0)))
| ~ spl24_3
| ~ spl24_10 ),
inference(forward_demodulation,[],[f1461,f554]) ).
fof(f1476,plain,
( sK0 = sK21(sK20(sK1(sK0)))
| ~ spl24_3
| spl24_9
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f1471,f596]) ).
fof(f1491,plain,
( ~ r1(sK0)
| sK20(sK1(sK0)) = sK23(sK20(sK1(sK0)))
| ~ spl24_3
| spl24_9
| ~ spl24_10 ),
inference(superposition,[],[f103,f1476]) ).
fof(f1517,plain,
( sK20(sK1(sK0)) = sK23(sK20(sK1(sK0)))
| ~ spl24_3
| spl24_9
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f1491,f72]) ).
fof(f1530,plain,
( sK0 = sK20(sK1(sK0))
| ~ spl24_3
| spl24_9
| ~ spl24_10 ),
inference(forward_demodulation,[],[f1517,f757]) ).
fof(f1536,plain,
( $false
| ~ spl24_3
| spl24_9
| ~ spl24_10
| spl24_19 ),
inference(forward_subsumption_resolution,[],[f1530,f859]) ).
fof(f1537,plain,
( ~ spl24_3
| spl24_9
| ~ spl24_10
| spl24_19 ),
inference(avatar_contradiction_clause,[],[f1536]) ).
cnf(s6,plain,
spl24_3,
inference(sat_conversion,[],[f488]) ).
cnf(s14,plain,
~ spl24_9,
inference(sat_conversion,[],[f692]) ).
cnf(s21,plain,
( ~ spl24_3
| spl24_9
| spl24_10 ),
inference(sat_conversion,[],[f754]) ).
cnf(s51,plain,
( ~ spl24_3
| spl24_9
| ~ spl24_19 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s76,plain,
( ~ spl24_3
| spl24_9
| ~ spl24_10
| spl24_19 ),
inference(sat_conversion,[],[f1537]) ).
cnf(s79,plain,
~ spl24_19,
inference(rat,[],[s51,s14,s6]) ).
cnf(s82,plain,
spl24_10,
inference(rat,[],[s21,s14,s6]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s76,s6,s14,s79,s82]) ).
fof(f1539,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN066+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % 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 21:55:54 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.72/1.32 % (2769865)Detected formulas, will run a generic FOF schedule.
% 2.72/1.32 % (2769870)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=2034815122:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.32 % (2769873)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1001836786:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.32 % (2769875)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=457452896:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.32 % (2769871)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=2337421102:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.32 % (2769874)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3264221510:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.32 % (2769876)dis-21_1_sil=8000:lcm=predicate:random_seed=4147870490: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)
% 2.72/1.32 % (2769872)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=1278207580:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.32 % (2769876)Refutation not found, incomplete strategy
% 2.72/1.32 % (2769876)------------------------------
% 2.72/1.32 % (2769876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.32 % (2769876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.32 % (2769876)CaDiCaL version: 2.1.3
% 2.72/1.32 % (2769876)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.32 % (2769876)Time elapsed: 0.002 s
% 2.72/1.32 % (2769876)Peak memory usage: 88 MB
% 2.72/1.32 % (2769876)Instructions burned: 2 (million)
% 2.72/1.32 % (2769875)First to succeed.
% 2.72/1.32 % (2769875)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2769865"
% 2.72/1.32 % (2769873)Instruction limit reached!
% 2.72/1.32 % (2769873)------------------------------
% 2.72/1.32 % (2769873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.32 % (2769873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.32 % (2769873)CaDiCaL version: 2.1.3
% 2.72/1.32 % (2769873)Termination reason: Instruction limit
% 2.72/1.32 % (2769873)Termination phase: Saturation
% 2.72/1.32 % (2769873)Time elapsed: 0.065 s
% 2.72/1.32 % (2769873)Peak memory usage: 88 MB
% 2.72/1.32 % (2769873)Instructions burned: 110 (million)
% 2.72/1.32 % (2769874)Instruction limit reached!
% 2.72/1.32 % (2769874)------------------------------
% 2.72/1.32 % (2769874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.32 % (2769874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.32 % (2769874)CaDiCaL version: 2.1.3
% 2.72/1.32 % (2769874)Termination reason: Instruction limit
% 2.72/1.32 % (2769874)Termination phase: Saturation
% 2.72/1.32 % (2769874)Time elapsed: 0.067 s
% 2.72/1.32 % (2769874)Peak memory usage: 87 MB
% 2.72/1.32 % (2769874)Instructions burned: 119 (million)
% 2.72/1.32 % (2769885)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3797459019:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.72/1.32 % (2769884)lrs+10_1_sil=8000:sp=occurrence:random_seed=2090834913:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.72/1.32 % (2769885)Refutation not found, incomplete strategy
% 2.72/1.32 % (2769885)------------------------------
% 2.72/1.32 % (2769885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.32 % (2769885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.32 % (2769885)CaDiCaL version: 2.1.3
% 2.72/1.32 % (2769885)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.32 % (2769885)Time elapsed: 0.003 s
% 2.72/1.32 % (2769885)Peak memory usage: 88 MB
% 2.72/1.32 % (2769885)Instructions burned: 3 (million)
% 2.72/1.32 % (2769876)------------------------------
% 2.72/1.32 % (2769876)------------------------------
% 2.72/1.32 % (2769875)Refutation found. Thanks to Tanya!
% 2.72/1.32 % SZS status Theorem for theBenchmark
% 2.72/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.52 % (2769875)------------------------------
% 3.87/1.52 % (2769875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.52 % (2769875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.52 % (2769875)CaDiCaL version: 2.1.3
% 3.87/1.52 % (2769875)Termination reason: Refutation
% 3.87/1.52 % (2769875)Time elapsed: 0.034 s
% 3.87/1.52 % (2769875)Peak memory usage: 90 MB
% 3.87/1.52 % (2769875)Instructions burned: 50 (million)
% 3.87/1.52 % (2769875)------------------------------
% 3.87/1.52 % (2769875)------------------------------
% 3.87/1.52 % (2769865)Success in time 0.455 s
% 3.87/1.52 % Vampire exiting
%------------------------------------------------------------------------------