%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN077+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:49:35 PM UTC 2026
% Result : Theorem 2.92s 1.07s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 97 ( 8 unt; 8 def)
% Number of atoms : 278 ( 18 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 303 ( 122 ~; 144 |; 21 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 62 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
? [X1] :
! [X2] :
( big_f(X2,X1)
<=> X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54_1) ).
fof(f2,conjecture,
~ ? [X0] :
! [X1] :
( big_f(X1,X0)
<=> ! [X2] :
( big_f(X1,X2)
=> ? [X3] :
( big_f(X3,X2)
& ~ ? [X4] :
( big_f(X4,X2)
& big_f(X4,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
! [X1] :
( big_f(X1,X0)
<=> ! [X2] :
( big_f(X1,X2)
=> ? [X3] :
( big_f(X3,X2)
& ~ ? [X4] :
( big_f(X4,X2)
& big_f(X4,X3) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
? [X0] :
! [X1] :
( big_f(X1,X0)
<=> ! [X2] :
( big_f(X1,X2)
=> ? [X3] :
( big_f(X3,X2)
& ~ ? [X4] :
( big_f(X4,X2)
& big_f(X4,X3) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
! [X1] :
( big_f(X1,X0)
<=> ! [X2] :
( ? [X3] :
( big_f(X3,X2)
& ! [X4] :
( ~ big_f(X4,X2)
| ~ big_f(X4,X3) ) )
| ~ big_f(X1,X2) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0] :
? [X1] :
! [X2] :
( ( big_f(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ big_f(X2,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X2] :
( ( big_f(X2,sK0(X0))
| X0 != X2 )
& ( X2 = X0
| ~ big_f(X2,sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f6]) ).
fof(f8,plain,
? [X0] :
! [X1] :
( ( big_f(X1,X0)
| ? [X2] :
( ! [X3] :
( ~ big_f(X3,X2)
| ? [X4] :
( big_f(X4,X2)
& big_f(X4,X3) ) )
& big_f(X1,X2) ) )
& ( ! [X2] :
( ? [X3] :
( big_f(X3,X2)
& ! [X4] :
( ~ big_f(X4,X2)
| ~ big_f(X4,X3) ) )
| ~ big_f(X1,X2) )
| ~ big_f(X1,X0) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f9,plain,
? [X0] :
! [X1] :
( ( big_f(X1,X0)
| ? [X2] :
( ! [X3] :
( ~ big_f(X3,X2)
| ? [X4] :
( big_f(X4,X2)
& big_f(X4,X3) ) )
& big_f(X1,X2) ) )
& ( ! [X5] :
( ? [X6] :
( big_f(X6,X5)
& ! [X7] :
( ~ big_f(X7,X5)
| ~ big_f(X7,X6) ) )
| ~ big_f(X1,X5) )
| ~ big_f(X1,X0) ) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
! [X1] :
( ( big_f(X1,sK1)
| ( ! [X3] :
( ~ big_f(X3,sK2(X1))
| ( big_f(sK3(X1,X3),sK2(X1))
& big_f(sK3(X1,X3),X3) ) )
& big_f(X1,sK2(X1)) ) )
& ( ! [X5] :
( ( big_f(sK4(X5),X5)
& ! [X7] :
( ~ big_f(X7,X5)
| ~ big_f(X7,sK4(X5)) ) )
| ~ big_f(X1,X5) )
| ~ big_f(X1,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X2,sK2(X1)),skolemize(X4,sK3(X1,X3)),skolemize(X6,sK4(X5))],[f9]) ).
fof(f11,plain,
! [X2,X0] :
( ~ big_f(X2,sK0(X0))
| X0 = X2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
! [X2,X0] :
( big_f(X2,sK0(X0))
| X0 != X2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
! [X1,X7,X5] :
( ~ big_f(X7,sK4(X5))
| ~ big_f(X7,X5)
| ~ big_f(X1,X5)
| ~ big_f(X1,sK1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
! [X1,X5] :
( big_f(sK4(X5),X5)
| ~ big_f(X1,X5)
| ~ big_f(X1,sK1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f15,plain,
! [X1] :
( big_f(X1,sK2(X1))
| big_f(X1,sK1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X3,X1] :
( big_f(X1,sK1)
| ~ big_f(X3,sK2(X1))
| big_f(sK3(X1,X3),X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X3,X1] :
( big_f(sK3(X1,X3),sK2(X1))
| ~ big_f(X3,sK2(X1))
| big_f(X1,sK1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X2] : big_f(X2,sK0(X2)),
inference(equality_resolution,[],[f12]) ).
fof(f51,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0))
| sK4(sK0(X0)) = X0
| ~ big_f(X1,sK1) ),
inference(resolution,[],[f11,f14]) ).
fof(f66,plain,
! [X0] :
( ~ big_f(X0,sK1)
| sK4(sK0(X0)) = X0 ),
inference(resolution,[],[f51,f18]) ).
fof(f68,plain,
! [X0,X1] :
( ~ big_f(X1,sK2(X0))
| sK4(sK0(X0)) = X0
| big_f(sK3(X0,X1),X1) ),
inference(resolution,[],[f66,f16]) ).
fof(f116,plain,
! [X0] :
( sK4(sK0(X0)) = X0
| big_f(sK3(X0,X0),X0)
| big_f(X0,sK1) ),
inference(resolution,[],[f68,f15]) ).
fof(f120,plain,
! [X0] :
( big_f(sK3(X0,X0),X0)
| sK4(sK0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f116,f66]) ).
fof(f143,definition,
( spl5_15
<=> sK1 = sK4(sK0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
fof(f144,plain,
( sK1 != sK4(sK0(sK1))
| spl5_15 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f145,plain,
( sK1 = sK4(sK0(sK1))
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f180,definition,
( spl5_21
<=> ! [X1] :
( ~ big_f(X1,sK0(sK1))
| ~ big_f(X1,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl5_21])],[avatar_definition]) ).
fof(f181,plain,
( ! [X1] :
( ~ big_f(X1,sK0(sK1))
| ~ big_f(X1,sK1) )
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f241,definition,
( spl5_26
<=> big_f(sK1,sK2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_26])],[avatar_definition]) ).
fof(f242,plain,
( big_f(sK1,sK2(sK1))
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( ~ big_f(sK1,sK2(sK1))
| spl5_26 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f253,plain,
( big_f(sK1,sK1)
| spl5_26 ),
inference(resolution,[],[f243,f15]) ).
fof(f254,plain,
( sK1 = sK4(sK0(sK1))
| spl5_26 ),
inference(resolution,[],[f253,f66]) ).
fof(f257,plain,
( spl5_15
| spl5_26 ),
inference(avatar_split_clause,[],[f254,f241,f143]) ).
fof(f274,plain,
( ~ big_f(sK1,sK1)
| ~ spl5_21 ),
inference(resolution,[],[f181,f18]) ).
fof(f286,plain,
( $false
| ~ spl5_21
| spl5_26 ),
inference(forward_subsumption_resolution,[],[f274,f253]) ).
fof(f287,plain,
( ~ spl5_21
| spl5_26 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f295,definition,
( spl5_30
<=> big_f(sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_30])],[avatar_definition]) ).
fof(f296,plain,
( big_f(sK1,sK1)
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( ~ big_f(sK1,sK1)
| spl5_30 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f310,definition,
( spl5_31
<=> ! [X0] :
( ~ big_f(X0,sK2(sK1))
| ~ big_f(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl5_31])],[avatar_definition]) ).
fof(f311,plain,
( ! [X0] :
( ~ big_f(X0,sK2(sK1))
| ~ big_f(X0,sK1) )
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f313,definition,
( spl5_32
<=> big_f(sK3(sK1,sK4(sK2(sK1))),sK4(sK2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl5_32])],[avatar_definition]) ).
fof(f315,plain,
( big_f(sK3(sK1,sK4(sK2(sK1))),sK4(sK2(sK1)))
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f341,plain,
( sK1 = sK4(sK0(sK1))
| ~ spl5_30 ),
inference(resolution,[],[f296,f66]) ).
fof(f342,plain,
( $false
| spl5_15
| ~ spl5_30 ),
inference(forward_subsumption_resolution,[],[f341,f144]) ).
fof(f343,plain,
( spl5_15
| ~ spl5_30 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f349,plain,
( ! [X0] :
( ~ big_f(X0,sK2(sK1))
| big_f(sK3(sK1,X0),X0) )
| spl5_30 ),
inference(resolution,[],[f297,f16]) ).
fof(f392,plain,
( ! [X0] :
( ~ big_f(sK3(sK1,X0),sK1)
| ~ big_f(X0,sK2(sK1))
| big_f(sK1,sK1) )
| ~ spl5_31 ),
inference(resolution,[],[f311,f17]) ).
fof(f400,plain,
( ! [X0] :
( ~ big_f(sK3(sK1,X0),sK1)
| ~ big_f(X0,sK2(sK1)) )
| spl5_30
| ~ spl5_31 ),
inference(forward_subsumption_resolution,[],[f392,f297]) ).
fof(f415,definition,
( spl5_41
<=> big_f(sK3(sK1,sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl5_41])],[avatar_definition]) ).
fof(f416,plain,
( big_f(sK3(sK1,sK1),sK1)
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f417,plain,
( ~ big_f(sK3(sK1,sK1),sK1)
| spl5_41 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f419,plain,
( sK1 = sK4(sK0(sK1))
| spl5_41 ),
inference(resolution,[],[f417,f120]) ).
fof(f450,plain,
( ! [X0] :
( big_f(sK3(sK1,sK4(sK2(sK1))),sK4(sK2(sK1)))
| ~ big_f(X0,sK2(sK1))
| ~ big_f(X0,sK1) )
| spl5_30 ),
inference(resolution,[],[f349,f14]) ).
fof(f453,plain,
( ~ big_f(sK1,sK2(sK1))
| spl5_30
| ~ spl5_31
| ~ spl5_41 ),
inference(resolution,[],[f400,f416]) ).
fof(f457,plain,
( $false
| ~ spl5_26
| spl5_30
| ~ spl5_31
| ~ spl5_41 ),
inference(forward_subsumption_resolution,[],[f453,f242]) ).
fof(f458,plain,
( ~ spl5_26
| spl5_30
| ~ spl5_31
| ~ spl5_41 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f461,plain,
( spl5_31
| spl5_32
| spl5_30 ),
inference(avatar_split_clause,[],[f450,f295,f313,f310]) ).
fof(f463,plain,
( ! [X0] :
( ~ big_f(sK3(sK1,sK4(sK2(sK1))),sK2(sK1))
| ~ big_f(X0,sK2(sK1))
| ~ big_f(X0,sK1) )
| ~ spl5_32 ),
inference(resolution,[],[f315,f13]) ).
fof(f465,definition,
( spl5_42
<=> big_f(sK3(sK1,sK4(sK2(sK1))),sK2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_42])],[avatar_definition]) ).
fof(f467,plain,
( ~ big_f(sK3(sK1,sK4(sK2(sK1))),sK2(sK1))
| spl5_42 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,plain,
( spl5_31
| ~ spl5_42
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f463,f313,f465,f310]) ).
fof(f483,plain,
( ~ big_f(sK4(sK2(sK1)),sK2(sK1))
| big_f(sK1,sK1)
| spl5_42 ),
inference(resolution,[],[f467,f17]) ).
fof(f484,plain,
( ~ big_f(sK4(sK2(sK1)),sK2(sK1))
| spl5_30
| spl5_42 ),
inference(forward_subsumption_resolution,[],[f483,f297]) ).
fof(f485,plain,
( ! [X0] :
( ~ big_f(X0,sK2(sK1))
| ~ big_f(X0,sK1) )
| spl5_30
| spl5_42 ),
inference(resolution,[],[f484,f14]) ).
fof(f486,plain,
( spl5_31
| spl5_30
| spl5_42 ),
inference(avatar_split_clause,[],[f485,f465,f295,f310]) ).
fof(f487,plain,
( ~ spl5_30
| ~ spl5_21 ),
inference(avatar_split_clause,[],[f274,f180,f295]) ).
fof(f490,plain,
( spl5_15
| spl5_41 ),
inference(avatar_split_clause,[],[f419,f415,f143]) ).
fof(f492,plain,
( ! [X0,X1] :
( ~ big_f(X0,sK1)
| ~ big_f(X0,sK0(sK1))
| ~ big_f(X1,sK0(sK1))
| ~ big_f(X1,sK1) )
| ~ spl5_15 ),
inference(superposition,[],[f13,f145]) ).
fof(f502,plain,
( spl5_21
| spl5_21
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f492,f143,f180,f180]) ).
fof(f503,plain,
( ! [X0] :
( ~ big_f(X0,sK2(sK1))
| big_f(sK3(sK1,X0),X0) )
| spl5_30 ),
inference(resolution,[],[f297,f16]) ).
fof(f539,plain,
( big_f(sK3(sK1,sK1),sK1)
| big_f(sK1,sK1)
| spl5_30 ),
inference(resolution,[],[f503,f15]) ).
fof(f548,plain,
( big_f(sK1,sK1)
| spl5_30
| spl5_41 ),
inference(forward_subsumption_resolution,[],[f539,f417]) ).
fof(f549,plain,
( $false
| spl5_30
| spl5_41 ),
inference(forward_subsumption_resolution,[],[f548,f297]) ).
fof(f550,plain,
( spl5_30
| spl5_41 ),
inference(avatar_contradiction_clause,[],[f549]) ).
cnf(s30,plain,
( spl5_15
| spl5_26 ),
inference(sat_conversion,[],[f257]) ).
cnf(s36,plain,
( ~ spl5_21
| spl5_26 ),
inference(sat_conversion,[],[f287]) ).
cnf(s42,plain,
( spl5_15
| ~ spl5_30 ),
inference(sat_conversion,[],[f343]) ).
cnf(s53,plain,
( ~ spl5_26
| spl5_30
| ~ spl5_31
| ~ spl5_41 ),
inference(sat_conversion,[],[f458]) ).
cnf(s55,plain,
( spl5_30
| spl5_31
| spl5_32 ),
inference(sat_conversion,[],[f461]) ).
cnf(s56,plain,
( spl5_31
| ~ spl5_32
| ~ spl5_42 ),
inference(sat_conversion,[],[f468]) ).
cnf(s58,plain,
( spl5_30
| spl5_31
| spl5_42 ),
inference(sat_conversion,[],[f486]) ).
cnf(s59,plain,
( ~ spl5_21
| ~ spl5_30 ),
inference(sat_conversion,[],[f487]) ).
cnf(s62,plain,
( spl5_15
| spl5_41 ),
inference(sat_conversion,[],[f490]) ).
cnf(s63,plain,
( spl5_21
| ~ spl5_15
| spl5_21 ),
inference(sat_conversion,[],[f502]) ).
cnf(s64,plain,
( ~ spl5_15
| spl5_21 ),
inference(rat,[],[s63]) ).
cnf(s69,plain,
( spl5_30
| spl5_41 ),
inference(sat_conversion,[],[f550]) ).
cnf(s76,plain,
( spl5_31
| spl5_30 ),
inference(rat,[],[s55,s56,s58]) ).
cnf(s77,plain,
( ~ spl5_26
| ~ spl5_41
| spl5_30 ),
inference(rat,[],[s76,s53]) ).
cnf(s78,plain,
~ spl5_21,
inference(rat,[],[s77,s69,s36,s59]) ).
cnf(s79,plain,
~ spl5_15,
inference(rat,[],[s64,s78]) ).
cnf(s80,plain,
spl5_41,
inference(rat,[],[s62,s79]) ).
cnf(s81,plain,
~ spl5_30,
inference(rat,[],[s42,s79]) ).
cnf(s82,plain,
spl5_26,
inference(rat,[],[s30,s79]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s77,s81,s80,s82]) ).
fof(f551,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN077+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:31:25 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.92/1.07 % (2343600)Detected formulas, will run a generic FOF schedule.
% 2.92/1.07 % (2343611)dis-21_1_sil=8000:lcm=predicate:random_seed=3288720955: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)
% 2.92/1.07 % (2343605)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=2594645155:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.07 % (2343606)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=2963382984:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.07 % (2343610)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2483408950:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.07 % (2343607)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=3084848687:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.07 % (2343611)Instruction limit reached!
% 2.92/1.07 % (2343611)------------------------------
% 2.92/1.07 % (2343611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.07 % (2343611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.07 % (2343611)CaDiCaL version: 2.1.3
% 2.92/1.07 % (2343611)Termination reason: Instruction limit
% 2.92/1.07 % (2343611)Termination phase: Saturation
% 2.92/1.07 % (2343611)Time elapsed: 0.041 s
% 2.92/1.07 % (2343611)Peak memory usage: 88 MB
% 2.92/1.07 % (2343611)Instructions burned: 132 (million)
% 2.92/1.07 % (2343608)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1330608891:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.07 % (2343609)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2244284023:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.07 % (2343609)Refutation not found, incomplete strategy
% 2.92/1.07 % (2343609)------------------------------
% 2.92/1.07 % (2343609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.07 % (2343609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.07 % (2343609)CaDiCaL version: 2.1.3
% 2.92/1.07 % (2343609)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.07 % (2343609)Time elapsed: 0.001 s
% 2.92/1.07 % (2343609)Peak memory usage: 88 MB
% 2.92/1.07 % (2343609)Instructions burned: 1 (million)
% 2.92/1.07 % (2343608)Refutation not found, incomplete strategy
% 2.92/1.07 % (2343608)------------------------------
% 2.92/1.07 % (2343608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.07 % (2343608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.07 % (2343608)CaDiCaL version: 2.1.3
% 2.92/1.07 % (2343608)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.07 % (2343608)Time elapsed: 0.002 s
% 2.92/1.07 % (2343608)Peak memory usage: 88 MB
% 2.92/1.07 % (2343608)Instructions burned: 1 (million)
% 2.92/1.07 % (2343610)First to succeed.
% 2.92/1.07 % (2343610)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2343600"
% 2.92/1.07 % (2343619)lrs+10_1_sil=8000:sp=occurrence:random_seed=2261621775:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.92/1.07 % (2343619)Also succeeded, but the first one will report.
% 2.92/1.07 % (2343608)------------------------------
% 2.92/1.07 % (2343608)------------------------------
% 2.92/1.07 % (2343609)------------------------------
% 2.92/1.07 % (2343609)------------------------------
% 2.92/1.07 % (2343610)Refutation found. Thanks to Tanya!
% 2.92/1.07 % SZS status Theorem for theBenchmark
% 2.92/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.26 % (2343610)------------------------------
% 3.58/1.26 % (2343610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.26 % (2343610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.26 % (2343610)CaDiCaL version: 2.1.3
% 3.58/1.26 % (2343610)Termination reason: Refutation
% 3.58/1.26 % (2343610)Time elapsed: 0.018 s
% 3.58/1.26 % (2343610)Peak memory usage: 90 MB
% 3.58/1.26 % (2343610)Instructions burned: 20 (million)
% 3.58/1.26 % (2343610)------------------------------
% 3.58/1.26 % (2343610)------------------------------
% 3.58/1.26 % (2343600)Success in time 0.418 s
% 3.58/1.26 % Vampire exiting
%------------------------------------------------------------------------------