%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR057+4 : 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 : n007.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 09:42:25 AM UTC 2026
% Result : Theorem 10.08s 3.48s
% Output : Refutation 10.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 15 unt; 4 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 79 ( 36 ~; 30 |; 2 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3986,axiom,
! [X0] :
( geolevel_4(X0)
=> geographicalregion(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_3986) ).
fof(f4591,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_4591) ).
fof(f11699,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_11699) ).
fof(f14233,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_4(c_georegion_l4_x75_y75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_14233) ).
fof(f18015,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_18015) ).
fof(f44145,axiom,
! [X0] :
( geographicalregion(X0)
=> geographicalsubregions(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44145) ).
fof(f44208,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44208) ).
fof(f44217,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_member8_mt)
=> inregion(X0,c_georegion_l4_x75_y75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query207) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member8_mt)
=> inregion(X0,c_georegion_l4_x75_y75) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44223,plain,
! [X0] :
( ~ inregion(X0,c_georegion_l4_x75_y75)
& mtvisible(c_tptpgeo_member8_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44224,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f44208]) ).
fof(f44225,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f44224]) ).
fof(f44232,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(ennf_transformation,[],[f18015]) ).
fof(f44233,plain,
( geolevel_4(c_georegion_l4_x75_y75)
| ~ mtvisible(c_worldgeographymt) ),
inference(ennf_transformation,[],[f14233]) ).
fof(f44243,plain,
! [X0] :
( geographicalsubregions(X0,X0)
| ~ geographicalregion(X0) ),
inference(ennf_transformation,[],[f44145]) ).
fof(f44249,plain,
! [X0] :
( geographicalregion(X0)
| ~ geolevel_4(X0) ),
inference(ennf_transformation,[],[f3986]) ).
fof(f44263,plain,
mtvisible(c_tptpgeo_member8_mt),
inference(cnf_transformation,[],[f44223]) ).
fof(f44264,plain,
! [X0] : ~ inregion(X0,c_georegion_l4_x75_y75),
inference(cnf_transformation,[],[f44223]) ).
fof(f44265,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44225]) ).
fof(f44272,plain,
! [X0,X1] :
( ~ geographicalsubregions(X0,X1)
| inregion(X1,X0) ),
inference(cnf_transformation,[],[f44232]) ).
fof(f44273,plain,
( geolevel_4(c_georegion_l4_x75_y75)
| ~ mtvisible(c_worldgeographymt) ),
inference(cnf_transformation,[],[f44233]) ).
fof(f44280,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[],[f4591]) ).
fof(f44287,plain,
! [X0] :
( geographicalsubregions(X0,X0)
| ~ geographicalregion(X0) ),
inference(cnf_transformation,[],[f44243]) ).
fof(f44292,plain,
! [X0] :
( ~ geolevel_4(X0)
| geographicalregion(X0) ),
inference(cnf_transformation,[],[f44249]) ).
fof(f44296,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[],[f11699]) ).
fof(f44329,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member8_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44330,plain,
( mtvisible(c_tptpgeo_member8_mt)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44329]) ).
fof(f44343,definition,
( spl0_4
<=> mtvisible(c_worldgeographymt) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44345,plain,
( ~ mtvisible(c_worldgeographymt)
| spl0_4 ),
inference(avatar_component_clause,[],[f44343]) ).
fof(f44347,definition,
( spl0_5
<=> geolevel_4(c_georegion_l4_x75_y75) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f44349,plain,
( geolevel_4(c_georegion_l4_x75_y75)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f44347]) ).
fof(f44351,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f44273,f44347,f44343]) ).
fof(f44352,plain,
spl0_1,
inference(avatar_split_clause,[],[f44263,f44329]) ).
fof(f44369,plain,
! [X0] :
( inregion(X0,X0)
| ~ geographicalregion(X0) ),
inference(resolution,[],[f44272,f44287]) ).
fof(f44377,plain,
( ~ mtvisible(c_tptpgeo_spindleheadmt)
| mtvisible(c_worldgeographymt) ),
inference(resolution,[],[f44265,f44296]) ).
fof(f44391,plain,
( ~ mtvisible(c_tptpgeo_member8_mt)
| mtvisible(c_tptpgeo_spindleheadmt) ),
inference(resolution,[],[f44265,f44280]) ).
fof(f44393,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f44391,f44330]) ).
fof(f44419,definition,
( spl0_11
<=> mtvisible(c_tptpgeo_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f44425,plain,
( ~ mtvisible(c_tptpgeo_spindleheadmt)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f44377,f44345]) ).
fof(f44427,plain,
( spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f44393,f44329,f44419]) ).
fof(f44428,plain,
( ~ spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f44425,f44343,f44419]) ).
fof(f44429,plain,
( geographicalregion(c_georegion_l4_x75_y75)
| ~ spl0_5 ),
inference(resolution,[],[f44349,f44292]) ).
fof(f44466,plain,
~ geographicalregion(c_georegion_l4_x75_y75),
inference(resolution,[],[f44369,f44264]) ).
fof(f44470,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f44466,f44429]) ).
fof(f44471,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f44470]) ).
cnf(s4,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f44351]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f44352]) ).
cnf(s14,plain,
( ~ spl0_1
| spl0_11 ),
inference(sat_conversion,[],[f44427]) ).
cnf(s15,plain,
( spl0_4
| ~ spl0_11 ),
inference(sat_conversion,[],[f44428]) ).
cnf(s16,plain,
~ spl0_5,
inference(sat_conversion,[],[f44471]) ).
cnf(s17,plain,
spl0_11,
inference(rat,[],[s14,s5]) ).
cnf(s18,plain,
spl0_4,
inference(rat,[],[s15,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s4,s16,s18]) ).
fof(f44472,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR057+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.28 % Computer : n007.cluster.edu
% 0.23/0.28 % Model : x86_64 x86_64
% 0.23/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.28 % Memory : 8046.5625MB
% 0.23/0.28 % OS : Linux 6.8.0-71-generic
% 0.23/0.28 % CPULimit : 300
% 0.23/0.28 % WCLimit : 300
% 0.23/0.28 % DateTime : Mon Sep 28 22:18:55 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.32 Running first-order theorem proving
% 0.23/0.32 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
% 8.89/3.23 % (2920387)Detected formulas, will run a generic FOF schedule.
% 8.89/3.23 % (2920392)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=1918696592:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 8.89/3.23 % (2920394)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=1903278581:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 8.89/3.23 % (2920395)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3901577312:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 8.89/3.23 % (2920397)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1496605658:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 8.89/3.23 % (2920396)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=288295398:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 8.89/3.23 % (2920398)dis-21_1_sil=8000:lcm=predicate:random_seed=3029909707:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 8.89/3.23 % (2920393)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=4209877030:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 8.89/3.23 % (2920397)Instruction limit reached!
% 8.89/3.23 % (2920397)------------------------------
% 8.89/3.23 % (2920397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/3.23 % (2920397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/3.23 % (2920397)CaDiCaL version: 2.1.3
% 8.89/3.23 % (2920397)Termination reason: Instruction limit
% 8.89/3.23 % (2920397)Termination phase: Property scanning
% 8.89/3.23 % (2920397)Time elapsed: 0.119 s
% 8.89/3.23 % (2920397)Peak memory usage: 110 MB
% 8.89/3.23 % (2920397)Instructions burned: 139 (million)
% 8.89/3.23 % (2920398)Instruction limit reached!
% 8.89/3.23 % (2920398)------------------------------
% 8.89/3.23 % (2920398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/3.23 % (2920398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/3.23 % (2920398)CaDiCaL version: 2.1.3
% 8.89/3.23 % (2920398)Termination reason: Instruction limit
% 8.89/3.23 % (2920398)Termination phase: SInE selection
% 8.89/3.23 % (2920398)Time elapsed: 0.121 s
% 8.89/3.23 % (2920398)Peak memory usage: 111 MB
% 8.89/3.23 % (2920398)Instructions burned: 129 (million)
% 8.89/3.23 % (2920395)Instruction limit reached!
% 8.89/3.23 % (2920395)------------------------------
% 8.89/3.23 % (2920395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/3.23 % (2920395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/3.23 % (2920395)CaDiCaL version: 2.1.3
% 8.89/3.23 % (2920395)Termination reason: Instruction limit
% 8.89/3.23 % (2920395)Termination phase: Saturation
% 8.89/3.23 % (2920395)Time elapsed: 0.123 s
% 8.89/3.23 % (2920395)Peak memory usage: 116 MB
% 8.89/3.23 % (2920395)Instructions burned: 110 (million)
% 8.89/3.23 % (2920396)Instruction limit reached!
% 8.89/3.23 % (2920396)------------------------------
% 8.89/3.23 % (2920396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/3.23 % (2920396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/3.23 % (2920396)CaDiCaL version: 2.1.3
% 8.89/3.23 % (2920396)Termination reason: Instruction limit
% 8.89/3.23 % (2920396)Termination phase: Saturation
% 8.89/3.23 % (2920396)Time elapsed: 0.129 s
% 8.89/3.23 % (2920396)Peak memory usage: 116 MB
% 8.89/3.23 % (2920396)Instructions burned: 120 (million)
% 8.89/3.23 % (2920406)lrs+10_1_sil=8000:sp=occurrence:random_seed=1010628907:i=285:sd=3:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/285Mi)
% 8.89/3.23 % (2920408)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3366626390:i=325:sd=1:ss=axioms:sgt=32_2984 on theBenchmark for (2984ds/325Mi)
% 8.89/3.23 % (2920407)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1972058049:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/157Mi)
% 8.89/3.23 % (2920406)First to succeed.
% 8.89/3.23 % (2920406)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2920387"
% 8.89/3.23 % (2920409)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1878940905:s2a=on:i=248:s2at=1.23:gtg=position_2984 on theBenchmark for (2984ds/248Mi)
% 10.08/3.48 % (2920407)Instruction limit reached!
% 10.08/3.48 % (2920407)------------------------------
% 10.08/3.48 % (2920407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/3.48 % (2920407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/3.48 % (2920407)CaDiCaL version: 2.1.3
% 10.08/3.48 % (2920407)Termination reason: Instruction limit
% 10.08/3.48 % (2920407)Termination phase: Property scanning
% 10.08/3.48 % (2920407)Time elapsed: 0.135 s
% 10.08/3.48 % (2920407)Peak memory usage: 110 MB
% 10.08/3.48 % (2920407)Instructions burned: 158 (million)
% 10.08/3.48 % (2920408)Refutation not found, incomplete strategy
% 10.08/3.48 % (2920408)------------------------------
% 10.08/3.48 % (2920408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/3.48 % (2920408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/3.48 % (2920408)CaDiCaL version: 2.1.3
% 10.08/3.48 % (2920408)Termination reason: Refutation not found, incomplete strategy
% 10.08/3.48 % (2920408)Time elapsed: 0.141 s
% 10.08/3.48 % (2920408)Peak memory usage: 119 MB
% 10.08/3.48 % (2920408)Instructions burned: 109 (million)
% 10.08/3.48 % (2920409)Instruction limit reached!
% 10.08/3.48 % (2920409)------------------------------
% 10.08/3.48 % (2920409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/3.48 % (2920409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/3.48 % (2920409)CaDiCaL version: 2.1.3
% 10.08/3.48 % (2920409)Termination reason: Instruction limit
% 10.08/3.48 % (2920409)Termination phase: SInE selection
% 10.08/3.48 % (2920409)Time elapsed: 0.218 s
% 10.08/3.48 % (2920409)Peak memory usage: 111 MB
% 10.08/3.48 % (2920409)Instructions burned: 249 (million)
% 10.08/3.48 % (2920406)Refutation found. Thanks to Tanya!
% 10.08/3.48 % SZS status Theorem for theBenchmark
% 10.08/3.48 % SZS output start Proof for theBenchmark
% See solution above
% 10.08/3.48 % (2920406)------------------------------
% 10.08/3.48 % (2920406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/3.48 % (2920406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/3.48 % (2920406)CaDiCaL version: 2.1.3
% 10.08/3.48 % (2920406)Termination reason: Refutation
% 10.08/3.48 % (2920406)Time elapsed: 0.102 s
% 10.08/3.48 % (2920406)Peak memory usage: 120 MB
% 10.08/3.48 % (2920406)Instructions burned: 115 (million)
% 10.08/3.48 % (2920406)------------------------------
% 10.08/3.48 % (2920406)------------------------------
% 10.08/3.48 % (2920387)Success in time 2.283 s
% 10.08/3.48 % Vampire exiting
%------------------------------------------------------------------------------