%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR069+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 0.28s 1.61s
% Output : Refutation 0.28s
% 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(f2090,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2090) ).
fof(f8006,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query169) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8015,plain,
( ~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
& mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8021,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f2090]) ).
fof(f8062,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f8015]) ).
fof(f8063,plain,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(cnf_transformation,[],[f8015]) ).
fof(f8072,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f8021]) ).
fof(f8223,definition,
( spl0_18
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f8224,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| spl0_18 ),
inference(avatar_component_clause,[],[f8223]) ).
fof(f8234,definition,
( spl0_21
<=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f8235,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f8234]) ).
fof(f8237,plain,
( ~ spl0_18
| spl0_21 ),
inference(avatar_split_clause,[],[f8072,f8234,f8223]) ).
fof(f8238,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f8224,f8062]) ).
fof(f8239,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f8238]) ).
fof(f8240,plain,
( $false
| ~ spl0_21 ),
inference(resolution,[],[f8063,f8235]) ).
fof(f8241,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f8240]) ).
cnf(s21,plain,
( ~ spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f8237]) ).
cnf(s22,plain,
spl0_18,
inference(sat_conversion,[],[f8239]) ).
cnf(s23,plain,
~ spl0_21,
inference(sat_conversion,[],[f8241]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s21,s23,s22]) ).
fof(f8242,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR069+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n007.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 22:22:10 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 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
% 0.28/1.61 % (2924788)Detected formulas, will run a generic FOF schedule.
% 0.28/1.61 % (2924799)dis-21_1_sil=8000:lcm=predicate:random_seed=2205889446:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 0.28/1.61 % (2924796)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3818012754:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 0.28/1.61 % (2924799)First to succeed.
% 0.28/1.61 % (2924799)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2924788"
% 0.28/1.61 % (2924796)Also succeeded, but the first one will report.
% 0.28/1.61 % (2924798)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1330248141:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 0.28/1.61 % (2924793)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=1936776982:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 0.28/1.61 % (2924794)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=2848541769:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 0.28/1.61 % (2924795)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=1312722675:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 0.28/1.61 % (2924797)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=490743854:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 0.28/1.61 % (2924797)Also succeeded, but the first one will report.
% 0.28/1.61 % (2924798)Instruction limit reached!
% 0.28/1.61 % (2924798)------------------------------
% 0.28/1.61 % (2924798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.61 % (2924798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.61 % (2924798)CaDiCaL version: 2.1.3
% 0.28/1.61 % (2924798)Termination reason: Instruction limit
% 0.28/1.61 % (2924798)Termination phase: Property scanning
% 0.28/1.61 % (2924798)Time elapsed: 0.114 s
% 0.28/1.61 % (2924798)Peak memory usage: 93 MB
% 0.28/1.61 % (2924798)Instructions burned: 139 (million)
% 0.28/1.61 % (2924799)Refutation found. Thanks to Tanya!
% 0.28/1.61 % SZS status Theorem for theBenchmark
% 0.28/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/1.61 % (2924799)------------------------------
% 0.28/1.61 % (2924799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.61 % (2924799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.61 % (2924799)CaDiCaL version: 2.1.3
% 0.28/1.61 % (2924799)Termination reason: Refutation
% 0.28/1.61 % (2924799)Time elapsed: 0.020 s
% 0.28/1.61 % (2924799)Peak memory usage: 95 MB
% 0.28/1.61 % (2924799)Instructions burned: 34 (million)
% 0.28/1.61 % (2924799)------------------------------
% 0.28/1.61 % (2924799)------------------------------
% 0.28/1.61 % (2924788)Success in time 0.616 s
% 0.28/1.61 % Vampire exiting
%------------------------------------------------------------------------------