%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG047+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:35:16 PM UTC 2026
% Result : Theorem 2.77s 1.25s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 20 unt; 5 def)
% Number of atoms : 219 ( 87 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 232 ( 91 ~; 102 |; 25 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 41 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( aDimensionOf0(X0) != sz00
=> ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f33,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329) ).
fof(f34,axiom,
( aDimensionOf0(xs) = aDimensionOf0(xt)
& aDimensionOf0(xt) != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).
fof(f35,conjecture,
aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f42,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(flattening,[],[f36]) ).
fof(f47,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f47]) ).
fof(f81,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) ) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) ) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f84]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( X1 = sziznziztdt0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) ) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(nnf_transformation,[],[f85]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( X1 = sziznziztdt0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) ) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( X1 = sziznziztdt0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) ) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( X1 = sziznziztdt0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ( sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
& aNaturalNumber0(sK1(X0,X1)) ) )
& ( ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) ) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f89]) ).
fof(f96,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f129,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f132,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f133,plain,
! [X0,X1] :
( aVector0(X1)
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f136,plain,
aVector0(xt),
inference(cnf_transformation,[],[f33]) ).
fof(f137,plain,
aVector0(xs),
inference(cnf_transformation,[],[f33]) ).
fof(f138,plain,
sz00 != aDimensionOf0(xt),
inference(cnf_transformation,[],[f34]) ).
fof(f139,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f34]) ).
fof(f140,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(cnf_transformation,[],[f42]) ).
fof(f141,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f142,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f132]) ).
fof(f235,plain,
( sz00 = aDimensionOf0(xt)
| aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) ),
inference(resolution,[],[f142,f136]) ).
fof(f236,plain,
( sz00 = aDimensionOf0(xs)
| aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(resolution,[],[f142,f137]) ).
fof(f238,plain,
( sz00 = aDimensionOf0(xt)
| aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(forward_demodulation,[],[f236,f139]) ).
fof(f239,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
inference(forward_subsumption_resolution,[],[f235,f138]) ).
fof(f240,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
inference(forward_subsumption_resolution,[],[f238,f138]) ).
fof(f241,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
inference(forward_demodulation,[],[f240,f139]) ).
fof(f474,plain,
! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| aDimensionOf0(sziznziztdt0(xt)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) ),
inference(superposition,[],[f96,f239]) ).
fof(f479,definition,
( spl2_5
<=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f481,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
| spl2_5 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f483,definition,
( spl2_6
<=> ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X0)
| aDimensionOf0(sziznziztdt0(xt)) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f484,plain,
( ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X0)
| aDimensionOf0(sziznziztdt0(xt)) = X0 )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f474,f483,f479]) ).
fof(f488,definition,
( spl2_7
<=> aVector0(sziznziztdt0(xt)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f489,plain,
( aVector0(sziznziztdt0(xt))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( ~ aVector0(sziznziztdt0(xt))
| spl2_7 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f495,plain,
( sz00 = aDimensionOf0(xt)
| ~ aVector0(xt)
| spl2_7 ),
inference(resolution,[],[f490,f141]) ).
fof(f496,plain,
( ~ aVector0(xt)
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f495,f138]) ).
fof(f497,plain,
( $false
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f496,f136]) ).
fof(f498,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f505,definition,
( spl2_9
<=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f506,plain,
( aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f507,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| spl2_9 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f514,definition,
( spl2_11
<=> aVector0(sziznziztdt0(xs)) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f516,plain,
( ~ aVector0(sziznziztdt0(xs))
| spl2_11 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f535,plain,
( sz00 = aDimensionOf0(xs)
| ~ aVector0(xs)
| spl2_11 ),
inference(resolution,[],[f516,f141]) ).
fof(f536,plain,
( sz00 = aDimensionOf0(xs)
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f535,f137]) ).
fof(f548,plain,
( ~ aVector0(sziznziztdt0(xt))
| spl2_5 ),
inference(resolution,[],[f481,f129]) ).
fof(f549,plain,
( $false
| spl2_5
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f548,f489]) ).
fof(f550,plain,
( spl2_5
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f577,plain,
( ~ aVector0(sziznziztdt0(xs))
| spl2_9 ),
inference(resolution,[],[f507,f129]) ).
fof(f589,plain,
( sz00 = aDimensionOf0(xt)
| spl2_11 ),
inference(superposition,[],[f536,f139]) ).
fof(f596,plain,
( $false
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f589,f138]) ).
fof(f597,plain,
spl2_11,
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f598,plain,
( ~ spl2_11
| spl2_9 ),
inference(avatar_split_clause,[],[f577,f505,f514]) ).
fof(f1689,plain,
( aDimensionOf0(xt) != aDimensionOf0(xt)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))
| ~ spl2_6 ),
inference(superposition,[],[f484,f241]) ).
fof(f1692,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f1689]) ).
fof(f1694,plain,
( aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f1692,f506]) ).
fof(f1698,plain,
( $false
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f1694,f140]) ).
fof(f1699,plain,
( ~ spl2_6
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f1698]) ).
cnf(s5,plain,
( ~ spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f486]) ).
cnf(s7,plain,
spl2_7,
inference(sat_conversion,[],[f498]) ).
cnf(s12,plain,
( spl2_5
| ~ spl2_7 ),
inference(sat_conversion,[],[f550]) ).
cnf(s14,plain,
spl2_11,
inference(sat_conversion,[],[f597]) ).
cnf(s15,plain,
( spl2_9
| ~ spl2_11 ),
inference(sat_conversion,[],[f598]) ).
cnf(s40,plain,
( ~ spl2_6
| ~ spl2_9 ),
inference(sat_conversion,[],[f1699]) ).
cnf(s41,plain,
spl2_9,
inference(rat,[],[s15,s14]) ).
cnf(s42,plain,
~ spl2_6,
inference(rat,[],[s40,s41]) ).
cnf(s45,plain,
spl2_5,
inference(rat,[],[s12,s7]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s5,s42,s45]) ).
fof(f1700,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG047+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:02:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.77/1.25 % (282108)Detected formulas, will run a generic FOF schedule.
% 2.77/1.25 % (282118)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=580797834:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.77/1.25 % (282118)First to succeed.
% 2.77/1.25 % (282118)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-282108"
% 2.77/1.25 % (282114)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=1492544939:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.77/1.25 % (282116)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2925337056:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.77/1.25 % (282115)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=1910104213:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.77/1.25 % (282117)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2013569229:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.77/1.25 % (282113)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=1270807578:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.77/1.25 % (282116)Refutation not found, incomplete strategy
% 2.77/1.25 % (282116)------------------------------
% 2.77/1.25 % (282116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.25 % (282116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.25 % (282116)CaDiCaL version: 2.1.3
% 2.77/1.25 % (282116)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.25 % (282116)Time elapsed: 0.003 s
% 2.77/1.25 % (282116)Peak memory usage: 88 MB
% 2.77/1.25 % (282116)Instructions burned: 3 (million)
% 2.77/1.25 % (282119)dis-21_1_sil=8000:lcm=predicate:random_seed=3847824314: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)
% 2.77/1.25 % (282117)Also succeeded, but the first one will report.
% 2.77/1.25 % (282119)Instruction limit reached!
% 2.77/1.25 % (282119)------------------------------
% 2.77/1.25 % (282119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.25 % (282119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.25 % (282119)CaDiCaL version: 2.1.3
% 2.77/1.25 % (282119)Termination reason: Instruction limit
% 2.77/1.25 % (282119)Termination phase: Saturation
% 2.77/1.25 % (282119)Time elapsed: 0.063 s
% 2.77/1.25 % (282119)Peak memory usage: 89 MB
% 2.77/1.25 % (282119)Instructions burned: 130 (million)
% 2.77/1.25 % (282127)lrs+10_1_sil=8000:sp=occurrence:random_seed=985959125:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.77/1.25 % (282127)Also succeeded, but the first one will report.
% 2.77/1.25 % (282116)------------------------------
% 2.77/1.25 % (282116)------------------------------
% 2.77/1.25 % (282128)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3482244564:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 2.77/1.25 % (282118)Refutation found. Thanks to Tanya!
% 2.77/1.25 % SZS status Theorem for theBenchmark
% 2.77/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.45 % (282118)------------------------------
% 3.49/1.45 % (282118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.45 % (282118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.45 % (282118)CaDiCaL version: 2.1.3
% 3.49/1.45 % (282118)Termination reason: Refutation
% 3.49/1.45 % (282118)Time elapsed: 0.042 s
% 3.49/1.45 % (282118)Peak memory usage: 90 MB
% 3.49/1.45 % (282118)Instructions burned: 62 (million)
% 3.49/1.45 % (282118)------------------------------
% 3.49/1.45 % (282118)------------------------------
% 3.49/1.45 % (282108)Success in time 0.408 s
% 3.49/1.45 % Vampire exiting
%------------------------------------------------------------------------------