%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR074+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 : n026.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 09:42:38 AM UTC 2026
% Result : Theorem 3.46s 1.28s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 68 ( 14 unt; 6 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 129 ( 57 ~; 53 |; 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 : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,axiom,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_63) ).
fof(f82,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_82) ).
fof(f128,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_128) ).
fof(f326,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_326) ).
fof(f472,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_472) ).
fof(f478,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x17_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_478) ).
fof(f933,axiom,
! [X0,X1,X2] :
( ( inregion(X0,X1)
& inregion(X1,X2) )
=> inregion(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_933) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1132,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/sandbox2/benchmark/theBenchmark.p',query124) ).
fof(f1133,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)],[f1132]) ).
fof(f1266,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f82]) ).
fof(f1288,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(ennf_transformation,[],[f128]) ).
fof(f1449,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f472]) ).
fof(f1452,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(ennf_transformation,[],[f478]) ).
fof(f1831,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(ennf_transformation,[],[f933]) ).
fof(f1832,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(flattening,[],[f1831]) ).
fof(f2012,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f2013,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f2012]) ).
fof(f2022,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,[],[f1133]) ).
fof(f2085,plain,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[],[f63]) ).
fof(f2103,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f1266]) ).
fof(f2149,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[],[f1288]) ).
fof(f2346,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[],[f326]) ).
fof(f2492,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f1449]) ).
fof(f2498,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(cnf_transformation,[],[f1452]) ).
fof(f2885,plain,
! [X2,X0,X1] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(cnf_transformation,[],[f1832]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ),
inference(cnf_transformation,[],[f2022]) ).
fof(f3065,definition,
( spl0_1
<=> geolevel_3(c_georegion_l3_x17_y24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3069,definition,
( spl0_2
<=> inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3071,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| spl0_2 ),
inference(avatar_component_clause,[],[f3069]) ).
fof(f3072,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3063,f3069,f3065]) ).
fof(f3087,definition,
( spl0_6
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f3088,plain,
( mtvisible(c_tptpgeo_member7_mt)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f3105,definition,
( spl0_10
<=> mtvisible(c_worldgeographymt) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f3108,plain,
( ~ spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f2498,f3065,f3105]) ).
fof(f3110,definition,
( spl0_11
<=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f3112,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f3110]) ).
fof(f3113,plain,
( ~ spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f2492,f3110,f3087]) ).
fof(f3368,definition,
( spl0_67
<=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f3370,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f3368]) ).
fof(f3371,plain,
( ~ spl0_6
| spl0_67 ),
inference(avatar_split_clause,[],[f2103,f3368,f3087]) ).
fof(f3405,plain,
spl0_6,
inference(avatar_split_clause,[],[f3062,f3087]) ).
fof(f3406,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt) ),
inference(resolution,[],[f3053,f2085]) ).
fof(f3407,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f3406,f3088]) ).
fof(f3450,plain,
( ~ mtvisible(c_tptpgeo_spindleheadmt)
| mtvisible(c_worldgeographymt) ),
inference(resolution,[],[f2346,f3053]) ).
fof(f3451,plain,
( mtvisible(c_worldgeographymt)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f3450,f3407]) ).
fof(f3459,plain,
( spl0_10
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f3451,f3087,f3105]) ).
fof(f3461,plain,
( ! [X0] :
( ~ inregion(X0,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,X0) )
| spl0_2 ),
inference(resolution,[],[f3071,f2885]) ).
fof(f3466,plain,
( ! [X0] :
( ~ geographicalsubregions(c_georegion_l3_x17_y24,X0)
| ~ inregion(c_geolocation_x53_y74,X0) )
| spl0_2 ),
inference(resolution,[],[f3461,f2149]) ).
fof(f3468,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f3466,f3112]) ).
fof(f3469,plain,
( $false
| spl0_2
| ~ spl0_11
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f3468,f3370]) ).
fof(f3470,plain,
( spl0_2
| ~ spl0_11
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f3469]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3072]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_10 ),
inference(sat_conversion,[],[f3108]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f3113]) ).
cnf(s48,plain,
( ~ spl0_6
| spl0_67 ),
inference(sat_conversion,[],[f3371]) ).
cnf(s55,plain,
spl0_6,
inference(sat_conversion,[],[f3405]) ).
cnf(s58,plain,
( ~ spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f3459]) ).
cnf(s59,plain,
( spl0_2
| ~ spl0_11
| ~ spl0_67 ),
inference(sat_conversion,[],[f3470]) ).
cnf(s60,plain,
spl0_10,
inference(rat,[],[s58,s55]) ).
cnf(s61,plain,
spl0_67,
inference(rat,[],[s48,s55]) ).
cnf(s69,plain,
spl0_11,
inference(rat,[],[s7,s55]) ).
cnf(s70,plain,
spl0_2,
inference(rat,[],[s59,s61,s69]) ).
cnf(s71,plain,
spl0_1,
inference(rat,[],[s6,s60]) ).
cnf(s73,plain,
$false,
inference(rat,[],[s1,s70,s71]) ).
fof(f3471,plain,
$false,
inference(avatar_sat_refutation,[],[s73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR074+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 22:28:12 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.46/1.28 % (162919)Detected formulas, will run a generic FOF schedule.
% 3.46/1.28 % (162926)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=3641757150:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.46/1.28 % (162928)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2017207362:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.46/1.28 % (162927)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3668631322:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.46/1.28 % (162929)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2866742042:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.46/1.28 % (162924)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=3090407827:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.46/1.28 % (162925)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=1788122:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.46/1.28 % (162927)Refutation not found, incomplete strategy
% 3.46/1.28 % (162927)------------------------------
% 3.46/1.28 % (162927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.28 % (162927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.28 % (162927)CaDiCaL version: 2.1.3
% 3.46/1.28 % (162927)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.28 % (162927)Time elapsed: 0.003 s
% 3.46/1.28 % (162927)Peak memory usage: 88 MB
% 3.46/1.28 % (162927)Instructions burned: 3 (million)
% 3.46/1.28 % (162929)First to succeed.
% 3.46/1.28 % (162930)dis-21_1_sil=8000:lcm=predicate:random_seed=2003692597: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)
% 3.46/1.28 % (162929)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-162919"
% 3.46/1.28 % (162930)Also succeeded, but the first one will report.
% 3.46/1.28 % (162928)Instruction limit reached!
% 3.46/1.28 % (162928)------------------------------
% 3.46/1.28 % (162928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.28 % (162928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.28 % (162928)CaDiCaL version: 2.1.3
% 3.46/1.28 % (162928)Termination reason: Instruction limit
% 3.46/1.28 % (162928)Termination phase: Saturation
% 3.46/1.28 % (162928)Time elapsed: 0.047 s
% 3.46/1.28 % (162928)Peak memory usage: 88 MB
% 3.46/1.28 % (162928)Instructions burned: 120 (million)
% 3.46/1.28 % (162938)lrs+10_1_sil=8000:sp=occurrence:random_seed=1373295507:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.46/1.28 % (162938)Also succeeded, but the first one will report.
% 3.46/1.28 % (162927)------------------------------
% 3.46/1.28 % (162927)------------------------------
% 3.46/1.28 % (162929)Refutation found. Thanks to Tanya!
% 3.46/1.28 % SZS status Theorem for theBenchmark
% 3.46/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.28 % (162929)------------------------------
% 3.46/1.28 % (162929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.28 % (162929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.28 % (162929)CaDiCaL version: 2.1.3
% 3.46/1.28 % (162929)Termination reason: Refutation
% 3.46/1.28 % (162929)Time elapsed: 0.017 s
% 3.46/1.28 % (162929)Peak memory usage: 91 MB
% 3.46/1.28 % (162929)Instructions burned: 30 (million)
% 3.46/1.28 % (162929)------------------------------
% 3.46/1.28 % (162929)------------------------------
% 3.46/1.28 % (162919)Success in time 0.418 s
% 3.46/1.28 % Vampire exiting
%------------------------------------------------------------------------------