%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR069+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:42:34 AM UTC 2026
% Result : Theorem 2.99s 1.29s
% Output : Refutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 2 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 8 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f463,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_463) ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query119) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1138,plain,
( ~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
& mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1144,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f463]) ).
fof(f1176,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f1138]) ).
fof(f1177,plain,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(cnf_transformation,[],[f1138]) ).
fof(f1183,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f1144]) ).
fof(f1252,definition,
( spl0_10
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f1253,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| spl0_10 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1263,definition,
( spl0_13
<=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f1264,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1265,plain,
( ~ spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f1183,f1263,f1252]) ).
fof(f1266,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f1253,f1176]) ).
fof(f1267,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1268,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f1177,f1264]) ).
fof(f1269,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f1268]) ).
cnf(s9,plain,
( ~ spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f1265]) ).
cnf(s10,plain,
spl0_10,
inference(sat_conversion,[],[f1267]) ).
cnf(s11,plain,
~ spl0_13,
inference(sat_conversion,[],[f1269]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s9,s11,s10]) ).
fof(f1270,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n011.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Mon Sep 28 22:24:16 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.24 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
% 2.99/1.29 % (3854319)Detected formulas, will run a generic FOF schedule.
% 2.99/1.29 % (3854337)dis-21_1_sil=8000:lcm=predicate:random_seed=3420453239: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)
% 2.99/1.29 % (3854334)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1649894329:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/1.29 % (3854337)First to succeed.
% 2.99/1.29 % (3854337)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3854319"
% 2.99/1.29 % (3854334)Also succeeded, but the first one will report.
% 2.99/1.29 % (3854336)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=308298869:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/1.29 % (3854333)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=3605727794:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/1.29 % (3854332)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=3703191655:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/1.29 % (3854331)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=2242203922:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/1.29 % (3854335)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1571197040:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/1.29 % (3854335)Also succeeded, but the first one will report.
% 2.99/1.29 % (3854336)Also succeeded, but the first one will report.
% 2.99/1.29 % (3854337)Refutation found. Thanks to Tanya!
% 2.99/1.29 % SZS status Theorem for theBenchmark
% 2.99/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 2.99/1.29 % (3854337)------------------------------
% 2.99/1.29 % (3854337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.29 % (3854337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.29 % (3854337)CaDiCaL version: 2.1.3
% 2.99/1.29 % (3854337)Termination reason: Refutation
% 2.99/1.29 % (3854337)Time elapsed: 0.004 s
% 2.99/1.29 % (3854337)Peak memory usage: 90 MB
% 2.99/1.29 % (3854337)Instructions burned: 5 (million)
% 2.99/1.29 % (3854337)------------------------------
% 2.99/1.29 % (3854337)------------------------------
% 2.99/1.29 % (3854319)Success in time 0.363 s
% 2.99/1.29 % Vampire exiting
%------------------------------------------------------------------------------