%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO502+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:52:48 AM UTC 2026
% Result : Theorem 8.74s 2.04s
% Output : Refutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 76 ( 28 unt; 11 def)
% Number of atoms : 236 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 298 ( 138 ~; 131 |; 18 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 12 prp; 0-7 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 87 ( 0 sgn 80 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_t(X1,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22b) ).
fof(f116,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X1,X4)
| ~ s_e(X1,X0,X1,X3)
| ~ s_e(X1,X2,X1,X4)
| ~ s_m(X0,X5,X3)
| ~ s_m(X2,X6,X4)
| s_t(X5,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).
fof(f117,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X1,X4)
| ~ s_e(X1,X0,X1,X3)
| ~ s_e(X1,X2,X1,X4)
| ~ s_m(X0,X5,X3)
| ~ s_m(X2,X6,X4)
| s_t(X5,X1,X6) ),
inference(negated_conjecture,[status(cth)],[f116]) ).
fof(f127,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_t(X0,X3,X6) )
& ( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_t(X2,X3,X4) )
& ( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_e(X3,X0,X3,X2) )
& ( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_e(X3,X6,X3,X4) )
& ( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_m(X0,X1,X2) )
& ( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_m(X6,X5,X4) )
& ( ~ s_t(X0,X3,X6)
| ~ s_t(X2,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_m(X0,X1,X2)
| ~ s_m(X6,X5,X4)
| s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn7_23) ).
fof(f128,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( s_t(X0,X1,X2)
& s_t(X3,X1,X4)
& s_e(X1,X0,X1,X3)
& s_e(X1,X2,X1,X4)
& s_m(X0,X5,X3)
& s_m(X2,X6,X4)
& ~ s_t(X5,X1,X6) ),
inference(ennf_transformation,[],[f117]) ).
fof(f129,plain,
( s_t(sK0,sK1,sK2)
& s_t(sK3,sK1,sK4)
& s_e(sK1,sK0,sK1,sK3)
& s_e(sK1,sK2,sK1,sK4)
& s_m(sK0,sK5,sK3)
& s_m(sK2,sK6,sK4)
& ~ s_t(sK5,sK1,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f128]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_t(X1,X3,X5) ),
inference(cnf_transformation,[],[f115]) ).
fof(f247,plain,
~ s_t(sK5,sK1,sK6),
inference(cnf_transformation,[],[f129]) ).
fof(f248,plain,
s_m(sK2,sK6,sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f249,plain,
s_m(sK0,sK5,sK3),
inference(cnf_transformation,[],[f129]) ).
fof(f250,plain,
s_e(sK1,sK2,sK1,sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f251,plain,
s_e(sK1,sK0,sK1,sK3),
inference(cnf_transformation,[],[f129]) ).
fof(f252,plain,
s_t(sK3,sK1,sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f253,plain,
s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f129]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X3,X6)
| ~ s_t(X2,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_m(X0,X1,X2)
| ~ s_m(X6,X5,X4)
| s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f127]) ).
fof(f340,definition,
( spl14_1
<=> s_e(sK1,sK0,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f342,plain,
( s_e(sK1,sK0,sK1,sK3)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f343,plain,
spl14_1,
inference(avatar_split_clause,[],[f251,f340]) ).
fof(f402,definition,
( spl14_2
<=> s_e(sK1,sK2,sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f404,plain,
( s_e(sK1,sK2,sK1,sK4)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f405,plain,
spl14_2,
inference(avatar_split_clause,[],[f250,f402]) ).
fof(f464,definition,
( spl14_3
<=> s_t(sK5,sK1,sK6) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f466,plain,
( ~ s_t(sK5,sK1,sK6)
| spl14_3 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,plain,
~ spl14_3,
inference(avatar_split_clause,[],[f247,f464]) ).
fof(f504,definition,
( spl14_4
<=> s_m(sK0,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f506,plain,
( s_m(sK0,sK5,sK3)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f507,plain,
spl14_4,
inference(avatar_split_clause,[],[f249,f504]) ).
fof(f519,definition,
( spl14_5
<=> s_t(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f521,plain,
( s_t(sK0,sK1,sK2)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,plain,
spl14_5,
inference(avatar_split_clause,[],[f253,f519]) ).
fof(f597,definition,
( spl14_6
<=> s_t(sK3,sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f599,plain,
( s_t(sK3,sK1,sK4)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f600,plain,
spl14_6,
inference(avatar_split_clause,[],[f252,f597]) ).
fof(f675,definition,
( spl14_7
<=> s_m(sK2,sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f677,plain,
( s_m(sK2,sK6,sK4)
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f678,plain,
spl14_7,
inference(avatar_split_clause,[],[f248,f675]) ).
fof(f688,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,sK2)
| ~ s_t(X2,X1,sK4)
| ~ s_e(X1,X0,X1,X2)
| ~ s_e(X1,sK2,X1,sK4)
| ~ s_m(X0,X3,X2)
| s_kf(X0,X3,X2,X1,sK4,sK6,sK2) )
| ~ spl14_7 ),
inference(resolution,[],[f677,f293]) ).
fof(f2090,definition,
( spl14_48
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,sK2)
| ~ s_t(X2,X1,sK4)
| ~ s_e(X1,X0,X1,X2)
| ~ s_e(X1,sK2,X1,sK4)
| ~ s_m(X0,X3,X2)
| s_kf(X0,X3,X2,X1,sK4,sK6,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl14_48])],[avatar_definition]) ).
fof(f2091,plain,
( ! [X2,X3,X0,X1] :
( s_kf(X0,X3,X2,X1,sK4,sK6,sK2)
| ~ s_t(X2,X1,sK4)
| ~ s_e(X1,X0,X1,X2)
| ~ s_e(X1,sK2,X1,sK4)
| ~ s_m(X0,X3,X2)
| ~ s_t(X0,X1,sK2) )
| ~ spl14_48 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f2092,plain,
( spl14_48
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f688,f675,f2090]) ).
fof(f2786,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,sK4)
| ~ s_e(X1,X2,X1,X0)
| ~ s_e(X1,sK2,X1,sK4)
| ~ s_m(X2,X3,X0)
| ~ s_t(X2,X1,sK2)
| s_t(X3,X1,sK6) )
| ~ spl14_48 ),
inference(resolution,[],[f2091,f246]) ).
fof(f2794,definition,
( spl14_83
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,sK4)
| ~ s_e(X1,X2,X1,X0)
| ~ s_e(X1,sK2,X1,sK4)
| ~ s_m(X2,X3,X0)
| ~ s_t(X2,X1,sK2)
| s_t(X3,X1,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl14_83])],[avatar_definition]) ).
fof(f2795,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X1,sK2,X1,sK4)
| ~ s_e(X1,X2,X1,X0)
| ~ s_t(X0,X1,sK4)
| ~ s_m(X2,X3,X0)
| ~ s_t(X2,X1,sK2)
| s_t(X3,X1,sK6) )
| ~ spl14_83 ),
inference(avatar_component_clause,[],[f2794]) ).
fof(f2796,plain,
( spl14_83
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f2786,f2090,f2794]) ).
fof(f2829,plain,
( ! [X2,X0,X1] :
( ~ s_e(sK1,X0,sK1,X1)
| ~ s_t(X1,sK1,sK4)
| ~ s_m(X0,X2,X1)
| ~ s_t(X0,sK1,sK2)
| s_t(X2,sK1,sK6) )
| ~ spl14_2
| ~ spl14_83 ),
inference(resolution,[],[f2795,f404]) ).
fof(f2832,definition,
( spl14_84
<=> ! [X2,X0,X1] :
( ~ s_e(sK1,X0,sK1,X1)
| ~ s_t(X1,sK1,sK4)
| ~ s_m(X0,X2,X1)
| ~ s_t(X0,sK1,sK2)
| s_t(X2,sK1,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl14_84])],[avatar_definition]) ).
fof(f2833,plain,
( ! [X2,X0,X1] :
( ~ s_e(sK1,X0,sK1,X1)
| ~ s_t(X1,sK1,sK4)
| ~ s_m(X0,X2,X1)
| ~ s_t(X0,sK1,sK2)
| s_t(X2,sK1,sK6) )
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f2832]) ).
fof(f2834,plain,
( spl14_84
| ~ spl14_2
| ~ spl14_83 ),
inference(avatar_split_clause,[],[f2829,f2794,f402,f2832]) ).
fof(f2835,plain,
( ! [X0] :
( ~ s_t(sK3,sK1,sK4)
| ~ s_m(sK0,X0,sK3)
| ~ s_t(sK0,sK1,sK2)
| s_t(X0,sK1,sK6) )
| ~ spl14_1
| ~ spl14_84 ),
inference(resolution,[],[f2833,f342]) ).
fof(f2878,plain,
( ! [X0] :
( ~ s_m(sK0,X0,sK3)
| ~ s_t(sK0,sK1,sK2)
| s_t(X0,sK1,sK6) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_84 ),
inference(forward_subsumption_resolution,[],[f2835,f599]) ).
fof(f2879,plain,
( ! [X0] :
( ~ s_m(sK0,X0,sK3)
| s_t(X0,sK1,sK6) )
| ~ spl14_1
| ~ spl14_5
| ~ spl14_6
| ~ spl14_84 ),
inference(forward_subsumption_resolution,[],[f2878,f521]) ).
fof(f2881,definition,
( spl14_85
<=> ! [X0] :
( ~ s_m(sK0,X0,sK3)
| s_t(X0,sK1,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl14_85])],[avatar_definition]) ).
fof(f2882,plain,
( ! [X0] :
( ~ s_m(sK0,X0,sK3)
| s_t(X0,sK1,sK6) )
| ~ spl14_85 ),
inference(avatar_component_clause,[],[f2881]) ).
fof(f2883,plain,
( spl14_85
| ~ spl14_1
| ~ spl14_5
| ~ spl14_6
| ~ spl14_84 ),
inference(avatar_split_clause,[],[f2879,f2832,f597,f519,f340,f2881]) ).
fof(f2884,plain,
( s_t(sK5,sK1,sK6)
| ~ spl14_4
| ~ spl14_85 ),
inference(resolution,[],[f2882,f506]) ).
fof(f2891,plain,
( $false
| spl14_3
| ~ spl14_4
| ~ spl14_85 ),
inference(forward_subsumption_resolution,[],[f2884,f466]) ).
fof(f2892,plain,
( spl14_3
| ~ spl14_4
| ~ spl14_85 ),
inference(avatar_contradiction_clause,[],[f2891]) ).
cnf(s1,plain,
spl14_1,
inference(sat_conversion,[],[f343]) ).
cnf(s2,plain,
spl14_2,
inference(sat_conversion,[],[f405]) ).
cnf(s3,plain,
~ spl14_3,
inference(sat_conversion,[],[f467]) ).
cnf(s4,plain,
spl14_4,
inference(sat_conversion,[],[f507]) ).
cnf(s5,plain,
spl14_5,
inference(sat_conversion,[],[f522]) ).
cnf(s6,plain,
spl14_6,
inference(sat_conversion,[],[f600]) ).
cnf(s7,plain,
spl14_7,
inference(sat_conversion,[],[f678]) ).
cnf(s48,plain,
( ~ spl14_7
| spl14_48 ),
inference(sat_conversion,[],[f2092]) ).
cnf(s82,plain,
( ~ spl14_48
| spl14_83 ),
inference(sat_conversion,[],[f2796]) ).
cnf(s83,plain,
( ~ spl14_2
| ~ spl14_83
| spl14_84 ),
inference(sat_conversion,[],[f2834]) ).
cnf(s84,plain,
( ~ spl14_1
| ~ spl14_5
| ~ spl14_6
| ~ spl14_84
| spl14_85 ),
inference(sat_conversion,[],[f2883]) ).
cnf(s85,plain,
( spl14_3
| ~ spl14_4
| ~ spl14_85 ),
inference(sat_conversion,[],[f2892]) ).
cnf(s87,plain,
spl14_48,
inference(rat,[],[s48,s7]) ).
cnf(s92,plain,
spl14_83,
inference(rat,[],[s82,s87]) ).
cnf(s132,plain,
~ spl14_85,
inference(rat,[],[s85,s4,s3]) ).
cnf(s134,plain,
spl14_84,
inference(rat,[],[s83,s92,s2]) ).
cnf(s149,plain,
~ spl14_1,
inference(rat,[],[s84,s132,s5,s6,s134]) ).
cnf(s150,plain,
$false,
inference(rat,[],[s1,s149]) ).
fof(f2893,plain,
$false,
inference(avatar_sat_refutation,[],[s150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO502+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.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 08:25:12 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 8.74/2.04 % (2525291)Detected formulas, will run a generic FOF schedule.
% 8.74/2.04 % (2525300)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2722924855:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.74/2.04 % (2525302)dis-21_1_sil=8000:lcm=predicate:random_seed=2096763696: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)
% 8.74/2.04 % (2525296)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=3925111253:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.74/2.04 % (2525299)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4049181614:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.74/2.04 % (2525301)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4225127081:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.74/2.04 % (2525297)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=4237501608:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.74/2.04 % (2525298)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=398519414:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.74/2.04 % (2525299)Instruction limit reached!
% 8.74/2.04 % (2525299)------------------------------
% 8.74/2.04 % (2525299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525299)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525299)Termination reason: Instruction limit
% 8.74/2.04 % (2525299)Termination phase: Saturation
% 8.74/2.04 % (2525299)Time elapsed: 0.066 s
% 8.74/2.04 % (2525299)Peak memory usage: 89 MB
% 8.74/2.04 % (2525299)Instructions burned: 109 (million)
% 8.74/2.04 % (2525300)Instruction limit reached!
% 8.74/2.04 % (2525300)------------------------------
% 8.74/2.04 % (2525300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525300)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525300)Termination reason: Instruction limit
% 8.74/2.04 % (2525300)Termination phase: Saturation
% 8.74/2.04 % (2525300)Time elapsed: 0.068 s
% 8.74/2.04 % (2525300)Peak memory usage: 88 MB
% 8.74/2.04 % (2525300)Instructions burned: 120 (million)
% 8.74/2.04 % (2525302)Instruction limit reached!
% 8.74/2.04 % (2525302)------------------------------
% 8.74/2.04 % (2525302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525302)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525302)Termination reason: Instruction limit
% 8.74/2.04 % (2525302)Termination phase: Saturation
% 8.74/2.04 % (2525302)Time elapsed: 0.077 s
% 8.74/2.04 % (2525302)Peak memory usage: 90 MB
% 8.74/2.04 % (2525302)Instructions burned: 129 (million)
% 8.74/2.04 % (2525301)Instruction limit reached!
% 8.74/2.04 % (2525301)------------------------------
% 8.74/2.04 % (2525301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525301)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525301)Termination reason: Instruction limit
% 8.74/2.04 % (2525301)Termination phase: Saturation
% 8.74/2.04 % (2525301)Time elapsed: 0.091 s
% 8.74/2.04 % (2525301)Peak memory usage: 90 MB
% 8.74/2.04 % (2525301)Instructions burned: 139 (million)
% 8.74/2.04 % (2525312)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2861387797:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.74/2.04 % (2525310)lrs+10_1_sil=8000:sp=occurrence:random_seed=1833807231:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.74/2.04 % (2525311)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2321792355:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.74/2.04 % (2525313)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=4127324469:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.74/2.04 % (2525311)Instruction limit reached!
% 8.74/2.04 % (2525311)------------------------------
% 8.74/2.04 % (2525311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525311)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525311)Termination reason: Instruction limit
% 8.74/2.04 % (2525311)Termination phase: Saturation
% 8.74/2.04 % (2525311)Time elapsed: 0.077 s
% 8.74/2.04 % (2525311)Peak memory usage: 89 MB
% 8.74/2.04 % (2525311)Instructions burned: 157 (million)
% 8.74/2.04 % (2525313)Instruction limit reached!
% 8.74/2.04 % (2525313)------------------------------
% 8.74/2.04 % (2525313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525313)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525313)Termination reason: Instruction limit
% 8.74/2.04 % (2525313)Termination phase: Saturation
% 8.74/2.04 % (2525313)Time elapsed: 0.081 s
% 8.74/2.04 % (2525313)Peak memory usage: 89 MB
% 8.74/2.04 % (2525313)Instructions burned: 252 (million)
% 8.74/2.04 % (2525310)Instruction limit reached!
% 8.74/2.04 % (2525310)------------------------------
% 8.74/2.04 % (2525310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525310)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525310)Termination reason: Instruction limit
% 8.74/2.04 % (2525310)Termination phase: Saturation
% 8.74/2.04 % (2525310)Time elapsed: 0.179 s
% 8.74/2.04 % (2525310)Peak memory usage: 91 MB
% 8.74/2.04 % (2525310)Instructions burned: 286 (million)
% 8.74/2.04 % (2525319)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3460954168:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.74/2.04 % (2525312)Instruction limit reached!
% 8.74/2.04 % (2525312)------------------------------
% 8.74/2.04 % (2525312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525312)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525312)Termination reason: Instruction limit
% 8.74/2.04 % (2525312)Termination phase: Saturation
% 8.74/2.04 % (2525312)Time elapsed: 0.197 s
% 8.74/2.04 % (2525312)Peak memory usage: 91 MB
% 8.74/2.04 % (2525312)Instructions burned: 326 (million)
% 8.74/2.04 % (2525318)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3811476262:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.74/2.04 % (2525320)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4125942140:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.74/2.04 % (2525322)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1563955472:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.74/2.04 % (2525318)Instruction limit reached!
% 8.74/2.04 % (2525318)------------------------------
% 8.74/2.04 % (2525318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525318)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525318)Termination reason: Instruction limit
% 8.74/2.04 % (2525318)Termination phase: Saturation
% 8.74/2.04 % (2525318)Time elapsed: 0.164 s
% 8.74/2.04 % (2525318)Peak memory usage: 89 MB
% 8.74/2.04 % (2525318)Instructions burned: 294 (million)
% 8.74/2.04 % (2525320)Instruction limit reached!
% 8.74/2.04 % (2525320)------------------------------
% 8.74/2.04 % (2525320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525320)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525320)Termination reason: Instruction limit
% 8.74/2.04 % (2525320)Termination phase: Saturation
% 8.74/2.04 % (2525320)Time elapsed: 0.067 s
% 8.74/2.04 % (2525320)Peak memory usage: 90 MB
% 8.74/2.04 % (2525320)Instructions burned: 114 (million)
% 8.74/2.04 % (2525322)Instruction limit reached!
% 8.74/2.04 % (2525322)------------------------------
% 8.74/2.04 % (2525322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525322)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525322)Termination reason: Instruction limit
% 8.74/2.04 % (2525322)Termination phase: Saturation
% 8.74/2.04 % (2525322)Time elapsed: 0.067 s
% 8.74/2.04 % (2525322)Peak memory usage: 89 MB
% 8.74/2.04 % (2525322)Instructions burned: 127 (million)
% 8.74/2.04 % (2525327)lrs+10_1_sil=8000:sp=occurrence:random_seed=10531319:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.74/2.04 % (2525326)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=345431411:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.74/2.04 % (2525328)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3329888587:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.74/2.04 % (2525326)Instruction limit reached!
% 8.74/2.04 % (2525326)------------------------------
% 8.74/2.04 % (2525326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525326)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525326)Termination reason: Instruction limit
% 8.74/2.04 % (2525326)Termination phase: Saturation
% 8.74/2.04 % (2525326)Time elapsed: 0.057 s
% 8.74/2.04 % (2525326)Peak memory usage: 89 MB
% 8.74/2.04 % (2525326)Instructions burned: 114 (million)
% 8.74/2.04 % (2525332)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=563306870:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.74/2.04 % (2525328)Instruction limit reached!
% 8.74/2.04 % (2525328)------------------------------
% 8.74/2.04 % (2525328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525328)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525328)Termination reason: Instruction limit
% 8.74/2.04 % (2525328)Termination phase: Saturation
% 8.74/2.04 % (2525328)Time elapsed: 0.258 s
% 8.74/2.04 % (2525328)Peak memory usage: 92 MB
% 8.74/2.04 % (2525328)Instructions burned: 437 (million)
% 8.74/2.04 % (2525298)First to succeed.
% 8.74/2.04 % (2525298)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2525291"
% 8.74/2.04 % (2525334)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=498458266:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.74/2.04 % (2525297)Also succeeded, but the first one will report.
% 8.74/2.04 % (2525334)Instruction limit reached!
% 8.74/2.04 % (2525334)------------------------------
% 8.74/2.04 % (2525334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525334)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525334)Termination reason: Instruction limit
% 8.74/2.04 % (2525334)Termination phase: Saturation
% 8.74/2.04 % (2525334)Time elapsed: 0.074 s
% 8.74/2.04 % (2525334)Peak memory usage: 90 MB
% 8.74/2.04 % (2525334)Instructions burned: 135 (million)
% 8.74/2.04 % (2525327)Instruction limit reached!
% 8.74/2.04 % (2525327)------------------------------
% 8.74/2.04 % (2525327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.04 % (2525327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.04 % (2525327)CaDiCaL version: 2.1.3
% 8.74/2.04 % (2525327)Termination reason: Instruction limit
% 8.74/2.04 % (2525327)Termination phase: Saturation
% 8.74/2.04 % (2525327)Time elapsed: 0.553 s
% 8.74/2.04 % (2525327)Peak memory usage: 95 MB
% 8.74/2.04 % (2525327)Instructions burned: 907 (million)
% 8.74/2.04 % (2525298)Refutation found. Thanks to Tanya!
% 8.74/2.04 % SZS status Theorem for theBenchmark
% 8.74/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 10.44/2.24 % (2525298)------------------------------
% 10.44/2.24 % (2525298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.24 % (2525298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.24 % (2525298)CaDiCaL version: 2.1.3
% 10.44/2.24 % (2525298)Termination reason: Refutation
% 10.44/2.24 % (2525298)Time elapsed: 1.039 s
% 10.44/2.24 % (2525298)Peak memory usage: 137 MB
% 10.44/2.24 % (2525298)Instructions burned: 1646 (million)
% 10.44/2.24 % (2525298)------------------------------
% 10.44/2.24 % (2525298)------------------------------
% 10.44/2.24 % (2525291)Success in time 1.43 s
% 10.44/2.24 % Vampire exiting
%------------------------------------------------------------------------------