%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR029+3 : 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 : n016.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 09:42:03 AM UTC 2026
% Result : Theorem 2.33s 1.08s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 15 unt; 6 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 62 ~; 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 : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1060,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1060) ).
fof(f2324,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2324) ).
fof(f2485,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2485) ).
fof(f2967,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2967) ).
fof(f4005,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4005) ).
fof(f4427,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4427) ).
fof(f7302,axiom,
! [X0,X1,X2] :
( ( inregion(X0,X1)
& inregion(X1,X2) )
=> inregion(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7302) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,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/sandbox2/benchmark/theBenchmark.p',query129) ).
fof(f8007,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)],[f8006]) ).
fof(f8047,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,[],[f8007]) ).
fof(f8048,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8049,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8048]) ).
fof(f8050,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(ennf_transformation,[],[f4005]) ).
fof(f8052,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(ennf_transformation,[],[f1060]) ).
fof(f8055,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(ennf_transformation,[],[f7302]) ).
fof(f8056,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(flattening,[],[f8055]) ).
fof(f8062,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(ennf_transformation,[],[f2967]) ).
fof(f8066,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(ennf_transformation,[],[f2485]) ).
fof(f8205,plain,
mtvisible(c_tptpgeo_member3_mt),
inference(cnf_transformation,[],[f8047]) ).
fof(f8206,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) ),
inference(cnf_transformation,[],[f8047]) ).
fof(f8207,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f8049]) ).
fof(f8209,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(cnf_transformation,[],[f8050]) ).
fof(f8211,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[],[f4427]) ).
fof(f8214,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(cnf_transformation,[],[f8052]) ).
fof(f8219,plain,
! [X2,X0,X1] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(cnf_transformation,[],[f8056]) ).
fof(f8225,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[],[f8062]) ).
fof(f8229,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(cnf_transformation,[],[f8066]) ).
fof(f8243,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[],[f2324]) ).
fof(f8449,definition,
( spl0_3
<=> mtvisible(c_worldgeographymt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f8450,plain,
( ~ mtvisible(c_worldgeographymt)
| spl0_3 ),
inference(avatar_component_clause,[],[f8449]) ).
fof(f8508,definition,
( spl0_18
<=> mtvisible(c_tptpgeo_member3_mt) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f8509,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| spl0_18 ),
inference(avatar_component_clause,[],[f8508]) ).
fof(f8511,definition,
( spl0_19
<=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f8512,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f8511]) ).
fof(f8514,plain,
( ~ spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f8229,f8511,f8508]) ).
fof(f8516,definition,
( spl0_20
<=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f8517,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f8516]) ).
fof(f8519,plain,
( ~ spl0_18
| spl0_20 ),
inference(avatar_split_clause,[],[f8214,f8516,f8508]) ).
fof(f8521,definition,
( spl0_21
<=> geolevel_3(c_georegion_l3_x4_y13) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f8524,plain,
( ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f8209,f8521,f8449]) ).
fof(f8527,definition,
( spl0_22
<=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f8528,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| spl0_22 ),
inference(avatar_component_clause,[],[f8527]) ).
fof(f8529,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f8206,f8527,f8521]) ).
fof(f8530,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f8509,f8205]) ).
fof(f8531,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f8530]) ).
fof(f8671,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_worldgeographymt) )
| spl0_3 ),
inference(resolution,[],[f8207,f8450]) ).
fof(f8680,plain,
( ! [X0,X1] :
( ~ mtvisible(X1)
| ~ genlmt(X0,c_worldgeographymt)
| ~ genlmt(X1,X0) )
| spl0_3 ),
inference(resolution,[],[f8671,f8207]) ).
fof(f8706,plain,
( ! [X0] :
( ~ genlmt(X0,c_worldgeographymt)
| ~ genlmt(c_tptpgeo_member3_mt,X0) )
| spl0_3 ),
inference(resolution,[],[f8680,f8205]) ).
fof(f8710,plain,
( ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
| spl0_3 ),
inference(resolution,[],[f8706,f8211]) ).
fof(f8718,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f8710,f8243]) ).
fof(f8719,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f8718]) ).
fof(f11617,plain,
( ! [X0] :
( ~ inregion(c_geolocation_x14_y39,X0)
| ~ inregion(X0,c_georegion_l3_x4_y13) )
| spl0_22 ),
inference(resolution,[],[f8219,f8528]) ).
fof(f11618,plain,
( ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
| ~ spl0_19
| spl0_22 ),
inference(resolution,[],[f11617,f8512]) ).
fof(f11624,plain,
( ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ spl0_19
| spl0_22 ),
inference(resolution,[],[f11618,f8225]) ).
fof(f11629,plain,
( $false
| ~ spl0_19
| ~ spl0_20
| spl0_22 ),
inference(resolution,[],[f11624,f8517]) ).
fof(f11630,plain,
( ~ spl0_19
| ~ spl0_20
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f11629]) ).
cnf(s17,plain,
( ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f8514]) ).
cnf(s19,plain,
( ~ spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f8519]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_21 ),
inference(sat_conversion,[],[f8524]) ).
cnf(s22,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f8529]) ).
cnf(s23,plain,
spl0_18,
inference(sat_conversion,[],[f8531]) ).
cnf(s24,plain,
spl0_3,
inference(sat_conversion,[],[f8719]) ).
cnf(s138,plain,
( ~ spl0_19
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f11630]) ).
cnf(s139,plain,
spl0_21,
inference(rat,[],[s21,s24]) ).
cnf(s140,plain,
~ spl0_22,
inference(rat,[],[s22,s139]) ).
cnf(s141,plain,
spl0_20,
inference(rat,[],[s19,s23]) ).
cnf(s142,plain,
~ spl0_19,
inference(rat,[],[s138,s140,s141]) ).
cnf(s143,plain,
$false,
inference(rat,[],[s17,s142,s23]) ).
fof(f11631,plain,
$false,
inference(avatar_sat_refutation,[],[s143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR029+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n016.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 22:16:19 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running first-order theorem proving
% 0.10/0.19 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
% 2.33/1.08 % (4094083)Detected formulas, will run a generic FOF schedule.
% 2.33/1.08 % (4094094)dis-21_1_sil=8000:lcm=predicate:random_seed=3441338988:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 2.33/1.08 % (4094094)First to succeed.
% 2.33/1.08 % (4094094)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4094083"
% 2.33/1.08 % (4094093)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2706150670:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.33/1.08 % (4094091)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4087638954:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.33/1.08 % (4094088)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=1717992038:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.33/1.08 % (4094090)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=3211763354:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.33/1.08 % (4094089)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=3736319352:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.33/1.08 % (4094092)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=8466217:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.33/1.08 % (4094091)Refutation not found, incomplete strategy
% 2.33/1.08 % (4094091)------------------------------
% 2.33/1.08 % (4094091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/1.08 % (4094091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/1.08 % (4094091)CaDiCaL version: 2.1.3
% 2.33/1.08 % (4094091)Termination reason: Refutation not found, incomplete strategy
% 2.33/1.08 % (4094091)Time elapsed: 0.017 s
% 2.33/1.08 % (4094091)Peak memory usage: 94 MB
% 2.33/1.08 % (4094091)Instructions burned: 24 (million)
% 2.33/1.08 % (4094092)Instruction limit reached!
% 2.33/1.08 % (4094092)------------------------------
% 2.33/1.08 % (4094092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/1.08 % (4094092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/1.08 % (4094092)CaDiCaL version: 2.1.3
% 2.33/1.08 % (4094092)Termination reason: Instruction limit
% 2.33/1.08 % (4094092)Termination phase: Saturation
% 2.33/1.08 % (4094092)Time elapsed: 0.061 s
% 2.33/1.08 % (4094092)Peak memory usage: 93 MB
% 2.33/1.08 % (4094092)Instructions burned: 119 (million)
% 2.33/1.08 % (4094093)Instruction limit reached!
% 2.33/1.08 % (4094093)------------------------------
% 2.33/1.08 % (4094093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/1.08 % (4094093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/1.08 % (4094093)CaDiCaL version: 2.1.3
% 2.33/1.08 % (4094093)Termination reason: Instruction limit
% 2.33/1.08 % (4094093)Termination phase: Saturation
% 2.33/1.08 % (4094093)Time elapsed: 0.080 s
% 2.33/1.08 % (4094093)Peak memory usage: 93 MB
% 2.33/1.08 % (4094093)Instructions burned: 144 (million)
% 2.33/1.08 % (4094094)Refutation found. Thanks to Tanya!
% 2.33/1.08 % SZS status Theorem for theBenchmark
% 2.33/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 2.84/1.28 % (4094094)------------------------------
% 2.84/1.28 % (4094094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.28 % (4094094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.28 % (4094094)CaDiCaL version: 2.1.3
% 2.84/1.28 % (4094094)Termination reason: Refutation
% 2.84/1.28 % (4094094)Time elapsed: 0.035 s
% 2.84/1.28 % (4094094)Peak memory usage: 95 MB
% 2.84/1.28 % (4094094)Instructions burned: 111 (million)
% 2.84/1.28 % (4094094)------------------------------
% 2.84/1.28 % (4094094)------------------------------
% 2.84/1.28 % (4094083)Success in time 0.445 s
% 2.84/1.28 % Vampire exiting
%------------------------------------------------------------------------------