%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR069+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:44:54 AM UTC 2026
% Result : Theorem 6.39s 1.92s
% Output : Refutation 6.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 2 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 5 |; 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(f3494,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_3494) ).
fof(f44217,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query219) ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f47536,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f3494]) ).
fof(f66315,plain,
( ~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
& mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f69743,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(cnf_transformation,[],[f47536]) ).
fof(f108041,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f66315]) ).
fof(f108042,plain,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(cnf_transformation,[],[f66315]) ).
fof(f108954,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| ~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(consistent_polarity_flipping,[],[f69743]) ).
fof(f122455,plain,
borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(consistent_polarity_flipping,[],[f108042]) ).
fof(f122731,definition,
( spl0_64
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f127390,definition,
( spl0_1062
<=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
introduced(definition,[new_symbols(definition,[spl0_1062])],[avatar_definition]) ).
fof(f130172,plain,
( ~ spl0_1062
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f108954,f122731,f127390]) ).
fof(f131152,plain,
spl0_64,
inference(avatar_split_clause,[],[f108041,f122731]) ).
fof(f131153,plain,
spl0_1062,
inference(avatar_split_clause,[],[f122455,f127390]) ).
cnf(s1573,plain,
( ~ spl0_64
| ~ spl0_1062 ),
inference(sat_conversion,[],[f130172]) ).
cnf(s1786,plain,
spl0_64,
inference(sat_conversion,[],[f131152]) ).
cnf(s1787,plain,
spl0_1062,
inference(sat_conversion,[],[f131153]) ).
cnf(s1791,plain,
$false,
inference(rat,[],[s1573,s1787,s1786]) ).
fof(f131154,plain,
$false,
inference(avatar_sat_refutation,[],[s1791]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 22:24:15 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.39/1.92 % (3568216)Will run a generic schedule for satisfiability detection.
% 6.39/1.92 % (3568460)dis+10_1_sil=32000:sp=arity:random_seed=494087196:i=103:fgj=on_2991 on theBenchmark for (2991ds/103Mi)
% 6.39/1.92 % (3568458)% WARNING: option uhcvi not known.
% 6.39/1.92 % (3568457)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=459591412_2991 on theBenchmark for (2991ds/0Mi)
% 6.39/1.92 % (3568458)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1987407103:i=135531:add=off:rawr=on_2991 on theBenchmark for (2991ds/135531Mi)
% 6.39/1.92 % (3568459)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2757511694:i=88024:add=on:rawr=on_2991 on theBenchmark for (2991ds/88024Mi)
% 6.39/1.92 % (3568461)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=933927252:i=116_2991 on theBenchmark for (2991ds/116Mi)
% 6.39/1.92 % (3568462)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1659218241:i=131_2991 on theBenchmark for (2991ds/131Mi)
% 6.39/1.92 % (3568463)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1549166371:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2991 on theBenchmark for (2991ds/159Mi)
% 6.39/1.92 % (3568460)Instruction limit reached!
% 6.39/1.92 % (3568460)------------------------------
% 6.39/1.92 % (3568460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568460)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568460)Termination reason: Instruction limit
% 6.39/1.92 % (3568460)Termination phase: Preprocessing 2
% 6.39/1.92 % (3568460)Time elapsed: 0.056 s
% 6.39/1.92 % (3568460)Peak memory usage: 61 MB
% 6.39/1.92 % (3568460)Instructions burned: 104 (million)
% 6.39/1.92 % (3568471)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1342286866:i=714:nm=2_2990 on theBenchmark for (2990ds/714Mi)
% 6.39/1.92 % (3568461)Instruction limit reached!
% 6.39/1.92 % (3568461)------------------------------
% 6.39/1.92 % (3568461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568461)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568461)Termination reason: Instruction limit
% 6.39/1.92 % (3568461)Termination phase: Preprocessing 2
% 6.39/1.92 % (3568461)Time elapsed: 0.099 s
% 6.39/1.92 % (3568461)Peak memory usage: 61 MB
% 6.39/1.92 % (3568461)Instructions burned: 116 (million)
% 6.39/1.92 % (3568462)Instruction limit reached!
% 6.39/1.92 % (3568462)------------------------------
% 6.39/1.92 % (3568462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568462)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568462)Termination reason: Instruction limit
% 6.39/1.92 % (3568462)Termination phase: Preprocessing 2
% 6.39/1.92 % (3568462)Time elapsed: 0.105 s
% 6.39/1.92 % (3568462)Peak memory usage: 61 MB
% 6.39/1.92 % (3568462)Instructions burned: 132 (million)
% 6.39/1.92 % (3568463)Instruction limit reached!
% 6.39/1.92 % (3568463)------------------------------
% 6.39/1.92 % (3568463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568463)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568463)Termination reason: Instruction limit
% 6.39/1.92 % (3568463)Termination phase: Naming
% 6.39/1.92 % (3568463)Time elapsed: 0.117 s
% 6.39/1.92 % (3568463)Peak memory usage: 62 MB
% 6.39/1.92 % (3568463)Instructions burned: 160 (million)
% 6.39/1.92 % (3568473)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3537655722:i=131:bd=preordered:fsd=on_2989 on theBenchmark for (2989ds/131Mi)
% 6.39/1.92 % (3568474)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3537858804:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2989 on theBenchmark for (2989ds/684Mi)
% 6.39/1.92 % (3568476)ott-21_1_sil=16000:fs=off:random_seed=2372228194:i=180:av=off:fsr=off_2989 on theBenchmark for (2989ds/180Mi)
% 6.39/1.92 % (3568473)Instruction limit reached!
% 6.39/1.92 % (3568473)------------------------------
% 6.39/1.92 % (3568473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568473)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568473)Termination reason: Instruction limit
% 6.39/1.92 % (3568473)Termination phase: Preprocessing 2
% 6.39/1.92 % (3568473)Time elapsed: 0.107 s
% 6.39/1.92 % (3568473)Peak memory usage: 61 MB
% 6.39/1.92 % (3568473)Instructions burned: 131 (million)
% 6.39/1.92 % (3568479)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2552007116:i=477:bd=all_2988 on theBenchmark for (2988ds/477Mi)
% 6.39/1.92 % (3568476)Instruction limit reached!
% 6.39/1.92 % (3568476)------------------------------
% 6.39/1.92 % (3568476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568476)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568476)Termination reason: Instruction limit
% 6.39/1.92 % (3568476)Termination phase: Preprocessing 3
% 6.39/1.92 % (3568476)Time elapsed: 0.127 s
% 6.39/1.92 % (3568476)Peak memory usage: 62 MB
% 6.39/1.92 % (3568476)Instructions burned: 182 (million)
% 6.39/1.92 % (3568481)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2989330716:fmbsr=1.3:i=865:ins=25_2988 on theBenchmark for (2988ds/865Mi)
% 6.39/1.92 % (3568471)Instruction limit reached!
% 6.39/1.92 % (3568471)------------------------------
% 6.39/1.92 % (3568471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568471)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568471)Termination reason: Instruction limit
% 6.39/1.92 % (3568471)Termination phase: Finite model building preprocessing
% 6.39/1.92 % (3568471)Time elapsed: 0.240 s
% 6.39/1.92 % (3568471)Peak memory usage: 68 MB
% 6.39/1.92 % (3568471)Instructions burned: 717 (million)
% 6.39/1.92 % (3568483)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1013530312:i=1179_2987 on theBenchmark for (2987ds/1179Mi)
% 6.39/1.92 % (3568479)Instruction limit reached!
% 6.39/1.92 % (3568479)------------------------------
% 6.39/1.92 % (3568479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568479)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568479)Termination reason: Instruction limit
% 6.39/1.92 % (3568479)Termination phase: Property scanning
% 6.39/1.92 % (3568479)Time elapsed: 0.285 s
% 6.39/1.92 % (3568479)Peak memory usage: 66 MB
% 6.39/1.92 % (3568479)Instructions burned: 478 (million)
% 6.39/1.92 % (3568485)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4021687824:i=889:ins=1_2985 on theBenchmark for (2985ds/889Mi)
% 6.39/1.92 % (3568474)Instruction limit reached!
% 6.39/1.92 % (3568474)------------------------------
% 6.39/1.92 % (3568474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568474)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568474)Termination reason: Instruction limit
% 6.39/1.92 % (3568474)Termination phase: Property scanning
% 6.39/1.92 % (3568474)Time elapsed: 0.446 s
% 6.39/1.92 % (3568474)Peak memory usage: 73 MB
% 6.39/1.92 % (3568474)Instructions burned: 684 (million)
% 6.39/1.92 % (3568487)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1836469331:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2985 on theBenchmark for (2985ds/692Mi)
% 6.39/1.92 % (3568458) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3568216-3568458"...
% 6.39/1.92 % (3568483)Instruction limit reached!
% 6.39/1.92 % (3568483)------------------------------
% 6.39/1.92 % (3568483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568483)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568483)Termination reason: Instruction limit
% 6.39/1.92 % (3568483)Termination phase: Saturation
% 6.39/1.92 % (3568483)Time elapsed: 0.375 s
% 6.39/1.92 % (3568483)Peak memory usage: 81 MB
% 6.39/1.92 % (3568483)Instructions burned: 1180 (million)
% 6.39/1.92 % (3568458)...printing done.
% 6.39/1.92 % (3568489)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1190449124:i=879:kws=inv_precedence:fsr=off_2983 on theBenchmark for (2983ds/879Mi)
% 6.39/1.92 % (3568458)Refutation found. Thanks to Tanya!
% 6.39/1.92 % SZS status Theorem for theBenchmark
% 6.39/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 6.39/1.92 % (3568458)------------------------------
% 6.39/1.92 % (3568458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.92 % (3568458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.92 % (3568458)CaDiCaL version: 2.1.3
% 6.39/1.92 % (3568458)Termination reason: Refutation
% 6.39/1.92 % (3568458)Time elapsed: 0.657 s
% 6.39/1.92 % (3568458)Peak memory usage: 84 MB
% 6.39/1.92 % (3568458)Instructions burned: 1071 (million)
% 6.39/1.92 % (3568216)Success in time 1.631 s
% 6.39/1.92 % Vampire exiting
%------------------------------------------------------------------------------