%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR053+1 : 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 : n013.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 09:42:21 AM UTC 2026
% Result : Theorem 2.43s 0.92s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 2 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 4 |; 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(f1,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f30,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query53) ).
fof(f31,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f44,plain,
( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f1]) ).
fof(f65,plain,
( ~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
& mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f31]) ).
fof(f66,plain,
( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f44]) ).
fof(f83,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f65]) ).
fof(f84,plain,
~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7),
inference(cnf_transformation,[],[f65]) ).
fof(f86,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f90,definition,
( spl0_2
<=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f93,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f66,f90,f86]) ).
fof(f94,plain,
spl0_1,
inference(avatar_split_clause,[],[f83,f86]) ).
fof(f95,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f84,f90]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f94]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f95]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f96,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR053+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 22:18:21 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 2.43/0.92 % (1648228)Detected formulas, will run a generic FOF schedule.
% 2.43/0.92 % (1648238)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2319045218:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 2.43/0.92 % (1648238)First to succeed.
% 2.43/0.92 % (1648238)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1648228"
% 2.43/0.92 % (1648235)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=1852638097:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 2.43/0.92 % (1648233)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=2644924863:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 2.43/0.92 % (1648237)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=122349443:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 2.43/0.92 % (1648234)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=3752798298:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 2.43/0.92 % (1648237)Also succeeded, but the first one will report.
% 2.43/0.92 % (1648236)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1536533759:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 2.43/0.92 % (1648236)Also succeeded, but the first one will report.
% 2.43/0.92 % (1648239)dis-21_1_sil=8000:lcm=predicate:random_seed=319428573:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 2.43/0.92 % (1648239)Also succeeded, but the first one will report.
% 2.43/0.92 % (1648238)Refutation found. Thanks to Tanya!
% 2.43/0.92 % SZS status Theorem for theBenchmark
% 2.43/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.92 % (1648238)------------------------------
% 2.43/0.92 % (1648238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/0.92 % (1648238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.92 % (1648238)CaDiCaL version: 2.1.3
% 2.43/0.92 % (1648238)Termination reason: Refutation
% 2.43/0.92 % (1648238)Time elapsed: 0.001 s
% 2.43/0.92 % (1648238)Peak memory usage: 89 MB
% 2.43/0.92 % (1648238)Instructions burned: 1 (million)
% 2.43/0.92 % (1648238)------------------------------
% 2.43/0.92 % (1648238)------------------------------
% 2.43/0.92 % (1648228)Success in time 0.274 s
% 2.43/0.92 % Vampire exiting
%------------------------------------------------------------------------------