%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR074+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 : n004.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 09:44:57 AM UTC 2026
% Result : Theorem 0.34s 0.42s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 68 ( 14 unt; 6 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 127 ( 56 ~; 52 |; 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 : 27 ( 0 sgn 27 !; 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_member7_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f10,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x17_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
fof(f11,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f12,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
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_member7_mt)
=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query74) ).
fof(f59,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
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_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f11]) ).
fof(f74,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_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_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) )
& mtvisible(c_tptpgeo_member7_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_member7_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(cnf_transformation,[],[f72]) ).
fof(f126,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f73]) ).
fof(f127,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f74]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ inregion(X1,X2)
| ~ inregion(X0,X1)
| inregion(X0,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f153,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f162,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f115]) ).
fof(f163,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ),
inference(cnf_transformation,[],[f115]) ).
fof(f165,definition,
( spl0_1
<=> geolevel_3(c_georegion_l3_x17_y24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f169,definition,
( spl0_2
<=> inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f171,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| 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_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f175,plain,
( mtvisible(c_tptpgeo_member7_mt)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f178,definition,
( spl0_4
<=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f180,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ 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_x17_y24,c_georegion_l4_x53_y74) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f185,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ 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(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(f217,plain,
( inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
| ~ spl0_5 ),
inference(resolution,[],[f120,f185]) ).
fof(f223,plain,
( ~ mtvisible(c_tptpgeo_spindleheadmt)
| mtvisible(c_worldgeographymt) ),
inference(resolution,[],[f153,f123]) ).
fof(f224,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt) ),
inference(resolution,[],[f153,f124]) ).
fof(f225,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f224,f175]) ).
fof(f231,plain,
( mtvisible(c_worldgeographymt)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f223,f225]) ).
fof(f237,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f231,f174,f188]) ).
fof(f249,plain,
( ! [X0] :
( ~ inregion(X0,c_georegion_l4_x53_y74)
| inregion(X0,c_georegion_l3_x17_y24) )
| ~ spl0_5 ),
inference(resolution,[],[f150,f217]) ).
fof(f289,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f249,f180]) ).
fof(f292,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f289,f171]) ).
fof(f293,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f292]) ).
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(s8,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f237]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f293]) ).
cnf(s10,plain,
spl0_6,
inference(rat,[],[s8,s5]) ).
cnf(s12,plain,
spl0_1,
inference(rat,[],[s4,s10]) ).
cnf(s13,plain,
spl0_5,
inference(rat,[],[s3,s5]) ).
cnf(s14,plain,
spl0_4,
inference(rat,[],[s2,s5]) ).
cnf(s15,plain,
spl0_2,
inference(rat,[],[s9,s13,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s15,s12]) ).
fof(f294,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR074+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.30 % Computer : n004.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.30 % CPULimit : 300
% 0.26/0.30 % WCLimit : 300
% 0.26/0.30 % DateTime : Mon Sep 28 22:25:22 UTC 2026
% 0.26/0.31 % CPUTime :
% 0.26/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.36 Running first-order model finding
% 0.26/0.36 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
% 0.34/0.42 % (858937)Will run a generic schedule for satisfiability detection.
% 0.34/0.42 % (858945)dis+10_1_sil=32000:sp=arity:random_seed=3919727095:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.42 % (858945) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-858937-858945"...
% 0.34/0.42 % (858945)...printing done.
% 0.34/0.42 % (858945)Refutation found. Thanks to Tanya!
% 0.34/0.42 % SZS status Theorem for theBenchmark
% 0.34/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.42 % (858945)------------------------------
% 0.34/0.42 % (858945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.42 % (858945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.42 % (858945)CaDiCaL version: 2.1.3
% 0.34/0.42 % (858945)Termination reason: Refutation
% 0.34/0.42 % (858945)Time elapsed: 0.003 s
% 0.34/0.42 % (858945)Peak memory usage: 12 MB
% 0.34/0.42 % (858945)Instructions burned: 4 (million)
% 0.34/0.42 % (858937)Success in time 0.043 s
% 0.34/0.42 % Vampire exiting
%------------------------------------------------------------------------------