%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n001.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 09:44:25 AM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 18 unt; 3 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 36 ~; 33 |; 5 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 29 !; 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] :
( ~ geographicalsubregions(X0,X1)
| inregion(X1,X0) ),
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,X1)
| inregion(X0,X2)
| ~ inregion(X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f153,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| mtvisible(X1)
| ~ 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(f173,plain,
inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
inference(forward_subsumption_resolution,[],[f127,f162]) ).
fof(f174,plain,
geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
inference(forward_subsumption_resolution,[],[f126,f162]) ).
fof(f176,definition,
( spl0_3
<=> mtvisible(c_worldgeographymt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f178,plain,
( ~ mtvisible(c_worldgeographymt)
| spl0_3 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f125,f165,f176]) ).
fof(f210,plain,
inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
inference(resolution,[],[f120,f174]) ).
fof(f216,plain,
! [X0] :
( ~ genlmt(c_tptpgeo_member3_mt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f153,f162]) ).
fof(f221,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolution,[],[f216,f124]) ).
fof(f223,plain,
! [X0] :
( ~ genlmt(c_tptpgeo_spindleheadmt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f221,f153]) ).
fof(f224,plain,
mtvisible(c_worldgeographymt),
inference(resolution,[],[f223,f123]) ).
fof(f225,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f224,f178]) ).
fof(f226,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f236,plain,
! [X0] :
( ~ inregion(c_georegion_l4_x14_y39,X0)
| inregion(c_geolocation_x14_y39,X0) ),
inference(resolution,[],[f150,f173]) ).
fof(f242,plain,
inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(resolution,[],[f236,f210]) ).
fof(f243,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f242,f171]) ).
fof(f244,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f243]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f179]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f226]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f244]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s5]) ).
fof(f245,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR029+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:17:19 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.24 % (805192)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (805202)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=57316025:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.24 % (805202) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-805192-805202"...
% 0.08/0.24 % (805202)...printing done.
% 0.08/0.24 % (805198)% WARNING: option uhcvi not known.
% 0.08/0.24 % (805202)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (805202)------------------------------
% 0.08/0.24 % (805202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (805202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (805202)CaDiCaL version: 2.1.3
% 0.08/0.24 % (805202)Termination reason: Refutation
% 0.08/0.24 % (805202)Time elapsed: 0.002 s
% 0.08/0.24 % (805202)Peak memory usage: 12 MB
% 0.08/0.24 % (805202)Instructions burned: 3 (million)
% 0.08/0.24 % (805192)Success in time 0.017 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------