%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR029+1 : 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 : n011.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 09:42:02 AM UTC 2026
% Result : Theorem 3.82s 1.33s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 14 unt; 6 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 138 ( 61 ~; 58 |; 5 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
fof(f8,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f10,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
fof(f11,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f12,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( inregion(X0,X1)
& inregion(X1,X2) )
=> inregion(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
fof(f49,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
fof(f58,conjecture,
( mtvisible(c_tptpgeo_member3_mt)
=> ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query29) ).
fof(f59,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member3_mt)
=> ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f71,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f72,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(ennf_transformation,[],[f11]) ).
fof(f74,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(ennf_transformation,[],[f12]) ).
fof(f102,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f103,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(flattening,[],[f102]) ).
fof(f105,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f106,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f105]) ).
fof(f115,plain,
( ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) )
& mtvisible(c_tptpgeo_member3_mt) ),
inference(ennf_transformation,[],[f59]) ).
fof(f120,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f123,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[],[f8]) ).
fof(f124,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(cnf_transformation,[],[f72]) ).
fof(f126,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(cnf_transformation,[],[f73]) ).
fof(f127,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(cnf_transformation,[],[f74]) ).
fof(f150,plain,
! [X2,X0,X1] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f153,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f162,plain,
mtvisible(c_tptpgeo_member3_mt),
inference(cnf_transformation,[],[f115]) ).
fof(f163,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) ),
inference(cnf_transformation,[],[f115]) ).
fof(f165,definition,
( spl0_1
<=> geolevel_3(c_georegion_l3_x4_y13) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f169,definition,
( spl0_2
<=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f171,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| spl0_2 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f163,f169,f165]) ).
fof(f174,definition,
( spl0_3
<=> mtvisible(c_tptpgeo_member3_mt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f175,plain,
( mtvisible(c_tptpgeo_member3_mt)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f178,definition,
( spl0_4
<=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f180,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f127,f178,f174]) ).
fof(f183,definition,
( spl0_5
<=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f185,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f186,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f126,f183,f174]) ).
fof(f188,definition,
( spl0_6
<=> mtvisible(c_worldgeographymt) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f190,plain,
( ~ mtvisible(c_worldgeographymt)
| spl0_6 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f191,plain,
( ~ spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f125,f165,f188]) ).
fof(f192,plain,
spl0_3,
inference(avatar_split_clause,[],[f162,f174]) ).
fof(f193,plain,
( ! [X0] :
( ~ genlmt(X0,c_worldgeographymt)
| ~ mtvisible(X0) )
| spl0_6 ),
inference(resolution,[],[f153,f190]) ).
fof(f196,plain,
( ~ mtvisible(c_tptpgeo_spindleheadmt)
| spl0_6 ),
inference(resolution,[],[f193,f123]) ).
fof(f197,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptpgeo_spindleheadmt)
| ~ mtvisible(X0) )
| spl0_6 ),
inference(resolution,[],[f196,f153]) ).
fof(f199,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| spl0_6 ),
inference(resolution,[],[f197,f124]) ).
fof(f200,plain,
( $false
| ~ spl0_3
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f199,f175]) ).
fof(f201,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f203,plain,
( ! [X0] :
( ~ inregion(X0,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,X0) )
| spl0_2 ),
inference(resolution,[],[f171,f150]) ).
fof(f208,plain,
( ! [X0] :
( ~ geographicalsubregions(c_georegion_l3_x4_y13,X0)
| ~ inregion(c_geolocation_x14_y39,X0) )
| spl0_2 ),
inference(resolution,[],[f203,f120]) ).
fof(f211,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f208,f185]) ).
fof(f214,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f211,f180]) ).
fof(f215,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f214]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f181]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f186]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f191]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f192]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f201]) ).
cnf(s7,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f215]) ).
cnf(s8,plain,
spl0_6,
inference(rat,[],[s6,s5]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s4,s8]) ).
cnf(s10,plain,
spl0_5,
inference(rat,[],[s3,s5]) ).
cnf(s11,plain,
spl0_4,
inference(rat,[],[s2,s5]) ).
cnf(s12,plain,
spl0_2,
inference(rat,[],[s7,s10,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s12,s9]) ).
fof(f216,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR029+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:11:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.82/1.33 % (3836850)Detected formulas, will run a generic FOF schedule.
% 3.82/1.33 % (3836926)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=1969336095:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.82/1.33 % (3836925)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=77159177:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.82/1.33 % (3836929)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1911499194:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.82/1.33 % (3836930)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=373846128:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.82/1.33 % (3836923)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=3096842106:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.82/1.33 % (3836930)First to succeed.
% 3.82/1.33 % (3836930)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3836850"
% 3.82/1.33 % (3836927)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3116407625:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.82/1.33 % (3836927)Refutation not found, incomplete strategy
% 3.82/1.33 % (3836927)------------------------------
% 3.82/1.33 % (3836927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.33 % (3836927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.33 % (3836927)CaDiCaL version: 2.1.3
% 3.82/1.33 % (3836927)Termination reason: Refutation not found, incomplete strategy
% 3.82/1.33 % (3836927)Time elapsed: 0.001 s
% 3.82/1.33 % (3836927)Peak memory usage: 87 MB
% 3.82/1.33 % (3836932)dis-21_1_sil=8000:lcm=predicate:random_seed=421559947: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)
% 3.82/1.33 % (3836932)Also succeeded, but the first one will report.
% 3.82/1.33 % (3836929)Instruction limit reached!
% 3.82/1.33 % (3836929)------------------------------
% 3.82/1.33 % (3836929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.33 % (3836929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.33 % (3836929)CaDiCaL version: 2.1.3
% 3.82/1.33 % (3836929)Termination reason: Instruction limit
% 3.82/1.33 % (3836929)Termination phase: Saturation
% 3.82/1.33 % (3836929)Time elapsed: 0.046 s
% 3.82/1.33 % (3836929)Peak memory usage: 87 MB
% 3.82/1.33 % (3836929)Instructions burned: 120 (million)
% 3.82/1.33 % (3836979)lrs+10_1_sil=8000:sp=occurrence:random_seed=3324021354:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.82/1.33 % (3836979)Also succeeded, but the first one will report.
% 3.82/1.33 % (3836930)Refutation found. Thanks to Tanya!
% 3.82/1.33 % SZS status Theorem for theBenchmark
% 3.82/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.33 % (3836930)------------------------------
% 3.82/1.33 % (3836930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.33 % (3836930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.33 % (3836930)CaDiCaL version: 2.1.3
% 3.82/1.33 % (3836930)Termination reason: Refutation
% 3.82/1.33 % (3836930)Time elapsed: 0.004 s
% 3.82/1.33 % (3836930)Peak memory usage: 89 MB
% 3.82/1.33 % (3836930)Instructions burned: 3 (million)
% 3.82/1.33 % (3836930)------------------------------
% 3.82/1.33 % (3836930)------------------------------
% 3.82/1.33 % (3836850)Success in time 0.466 s
% 3.82/1.33 % Vampire exiting
%------------------------------------------------------------------------------