%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR053+2 : 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 09:42:21 AM UTC 2026
% Result : Theorem 2.87s 1.25s
% Output : Refutation 2.87s
% 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(f249,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_249) ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query103) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1345,plain,
( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f249]) ).
fof(f2022,plain,
( ~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
& mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2270,plain,
( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f1345]) ).
fof(f3062,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7),
inference(cnf_transformation,[],[f2022]) ).
fof(f3115,definition,
( spl0_12
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f3243,definition,
( spl0_40
<=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f3246,plain,
( ~ spl0_12
| spl0_40 ),
inference(avatar_split_clause,[],[f2270,f3243,f3115]) ).
fof(f3400,plain,
spl0_12,
inference(avatar_split_clause,[],[f3062,f3115]) ).
fof(f3401,plain,
~ spl0_40,
inference(avatar_split_clause,[],[f3063,f3243]) ).
cnf(s27,plain,
( ~ spl0_12
| spl0_40 ),
inference(sat_conversion,[],[f3246]) ).
cnf(s54,plain,
spl0_12,
inference(sat_conversion,[],[f3400]) ).
cnf(s55,plain,
~ spl0_40,
inference(sat_conversion,[],[f3401]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s27,s55,s54]) ).
fof(f3402,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR053+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n007.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 22:16:55 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.25 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
% 2.87/1.25 % (2918428)Detected formulas, will run a generic FOF schedule.
% 2.87/1.25 % (2918541)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2066441430:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.87/1.25 % (2918541)First to succeed.
% 2.87/1.25 % (2918541)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2918428"
% 2.87/1.25 % (2918536)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=3435029714:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.87/1.25 % (2918538)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=2172492241:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.87/1.25 % (2918543)dis-21_1_sil=8000:lcm=predicate:random_seed=2495119821: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)
% 2.87/1.25 % (2918539)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3558220061:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.87/1.25 % (2918540)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2645688106:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.87/1.25 % (2918537)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=3905266310:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.87/1.25 % (2918540)Also succeeded, but the first one will report.
% 2.87/1.25 % (2918539)Also succeeded, but the first one will report.
% 2.87/1.25 % (2918543)Also succeeded, but the first one will report.
% 2.87/1.25 % (2918541)Refutation found. Thanks to Tanya!
% 2.87/1.25 % SZS status Theorem for theBenchmark
% 2.87/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.25 % (2918541)------------------------------
% 2.87/1.25 % (2918541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.25 % (2918541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.25 % (2918541)CaDiCaL version: 2.1.3
% 2.87/1.25 % (2918541)Termination reason: Refutation
% 2.87/1.25 % (2918541)Time elapsed: 0.008 s
% 2.87/1.25 % (2918541)Peak memory usage: 90 MB
% 2.87/1.25 % (2918541)Instructions burned: 26 (million)
% 2.87/1.25 % (2918541)------------------------------
% 2.87/1.25 % (2918541)------------------------------
% 2.87/1.25 % (2918428)Success in time 0.344 s
% 2.87/1.25 % Vampire exiting
%------------------------------------------------------------------------------