%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR037+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 : n018.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 09:42:09 AM UTC 2026
% Result : Theorem 2.71s 1.28s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 8 unt; 3 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 30 ~; 22 |; 2 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_188) ).
fof(f276,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_276) ).
fof(f1041,axiom,
! [X0,X1,X2] :
( ( geographicalsubregions(X0,X1)
& geographicalsubregions(X1,X2) )
=> geographicalsubregions(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1041) ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query87) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1318,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f188]) ).
fof(f1355,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f276]) ).
fof(f1927,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2) ),
inference(ennf_transformation,[],[f1041]) ).
fof(f1928,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2) ),
inference(flattening,[],[f1927]) ).
fof(f2022,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2209,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f1318]) ).
fof(f2297,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f1355]) ).
fof(f2981,plain,
! [X2,X0,X1] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2) ),
inference(cnf_transformation,[],[f1928]) ).
fof(f3062,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(cnf_transformation,[],[f2022]) ).
fof(f3078,definition,
( spl0_4
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f3238,definition,
( spl0_39
<=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f3240,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f3238]) ).
fof(f3241,plain,
( ~ spl0_4
| spl0_39 ),
inference(avatar_split_clause,[],[f2297,f3238,f3078]) ).
fof(f3267,definition,
( spl0_45
<=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f3269,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f3267]) ).
fof(f3270,plain,
( ~ spl0_4
| spl0_45 ),
inference(avatar_split_clause,[],[f2209,f3267,f3078]) ).
fof(f3400,plain,
spl0_4,
inference(avatar_split_clause,[],[f3062,f3078]) ).
fof(f3403,plain,
! [X0] :
( ~ geographicalsubregions(c_georegion_l2_x5_y8,X0)
| ~ geographicalsubregions(X0,c_georegion_l4_x45_y72) ),
inference(resolution,[],[f2981,f3063]) ).
fof(f3404,plain,
( ~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ spl0_39 ),
inference(resolution,[],[f3403,f3240]) ).
fof(f3407,plain,
( $false
| ~ spl0_39
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f3404,f3269]) ).
fof(f3408,plain,
( ~ spl0_39
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f3407]) ).
cnf(s26,plain,
( ~ spl0_4
| spl0_39 ),
inference(sat_conversion,[],[f3241]) ).
cnf(s32,plain,
( ~ spl0_4
| spl0_45 ),
inference(sat_conversion,[],[f3270]) ).
cnf(s54,plain,
spl0_4,
inference(sat_conversion,[],[f3400]) ).
cnf(s55,plain,
( ~ spl0_39
| ~ spl0_45 ),
inference(sat_conversion,[],[f3408]) ).
cnf(s58,plain,
spl0_45,
inference(rat,[],[s32,s54]) ).
cnf(s59,plain,
~ spl0_39,
inference(rat,[],[s55,s58]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s26,s59,s54]) ).
fof(f3409,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR037+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n018.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 22:16:11 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 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
% 2.71/1.28 % (3852237)Detected formulas, will run a generic FOF schedule.
% 2.71/1.28 % (3852290)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2309587757:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.71/1.28 % (3852290)First to succeed.
% 2.71/1.28 % (3852290)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3852237"
% 2.71/1.28 % (3852288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2870360084:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.71/1.28 % (3852283)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=2195263526:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.71/1.28 % (3852288)Also succeeded, but the first one will report.
% 2.71/1.28 % (3852292)dis-21_1_sil=8000:lcm=predicate:random_seed=4132190399: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)
% 2.71/1.28 % (3852284)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=2120299791:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.71/1.28 % (3852285)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=3446753804:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.71/1.28 % (3852287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3748592943:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.71/1.28 % (3852292)Also succeeded, but the first one will report.
% 2.71/1.28 % (3852287)Refutation not found, incomplete strategy
% 2.71/1.28 % (3852287)------------------------------
% 2.71/1.28 % (3852287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.28 % (3852287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.28 % (3852287)CaDiCaL version: 2.1.3
% 2.71/1.28 % (3852287)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.28 % (3852287)Time elapsed: 0.003 s
% 2.71/1.28 % (3852287)Peak memory usage: 88 MB
% 2.71/1.28 % (3852287)Instructions burned: 3 (million)
% 2.71/1.28 % (3852290)Refutation found. Thanks to Tanya!
% 2.71/1.28 % SZS status Theorem for theBenchmark
% 2.71/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.28 % (3852290)------------------------------
% 2.71/1.28 % (3852290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.28 % (3852290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.28 % (3852290)CaDiCaL version: 2.1.3
% 2.71/1.28 % (3852290)Termination reason: Refutation
% 2.71/1.28 % (3852290)Time elapsed: 0.009 s
% 2.71/1.28 % (3852290)Peak memory usage: 91 MB
% 2.71/1.28 % (3852290)Instructions burned: 28 (million)
% 2.71/1.28 % (3852290)------------------------------
% 2.71/1.28 % (3852290)------------------------------
% 2.71/1.28 % (3852237)Success in time 0.291 s
% 2.71/1.28 % Vampire exiting
%------------------------------------------------------------------------------