%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR037+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 : 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 09:42:09 AM UTC 2026
% Result : Theorem 9.66s 4.14s
% Output : Refutation 9.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 8 unt; 3 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 30 ~; 24 |; 2 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23213,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_23213) ).
fof(f29807,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_29807) ).
fof(f44144,axiom,
! [X0,X1,X2] :
( ( geographicalsubregions(X0,X1)
& geographicalsubregions(X1,X2) )
=> geographicalsubregions(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44144) ).
fof(f44217,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query187) ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44223,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44227,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2) ),
inference(ennf_transformation,[],[f44144]) ).
fof(f44228,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2) ),
inference(flattening,[],[f44227]) ).
fof(f44231,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f29807]) ).
fof(f44238,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f23213]) ).
fof(f44243,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f44223]) ).
fof(f44244,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(cnf_transformation,[],[f44223]) ).
fof(f44248,plain,
! [X2,X0,X1] :
( ~ geographicalsubregions(X1,X2)
| ~ geographicalsubregions(X0,X1)
| geographicalsubregions(X0,X2) ),
inference(cnf_transformation,[],[f44228]) ).
fof(f44252,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f44231]) ).
fof(f44258,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f44238]) ).
fof(f44264,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44268,definition,
( spl0_2
<=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f44270,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44268]) ).
fof(f44287,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f44258,f44268,f44264]) ).
fof(f44294,definition,
( spl0_7
<=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f44296,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f44294]) ).
fof(f44298,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f44252,f44294,f44264]) ).
fof(f44299,plain,
spl0_1,
inference(avatar_split_clause,[],[f44243,f44264]) ).
fof(f44317,plain,
( ! [X0] :
( ~ geographicalsubregions(X0,c_georegion_l3_x15_y24)
| geographicalsubregions(X0,c_georegion_l4_x45_y72) )
| ~ spl0_7 ),
inference(resolution,[],[f44248,f44296]) ).
fof(f44325,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f44317,f44270]) ).
fof(f44327,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f44325,f44244]) ).
fof(f44328,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f44327]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f44287]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f44298]) ).
cnf(s9,plain,
spl0_1,
inference(sat_conversion,[],[f44299]) ).
cnf(s10,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f44328]) ).
cnf(s11,plain,
spl0_7,
inference(rat,[],[s8,s9]) ).
cnf(s12,plain,
~ spl0_2,
inference(rat,[],[s10,s11]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s5,s12,s9]) ).
fof(f44329,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR037+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n004.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 22:14:07 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.26 Running first-order theorem proving
% 0.08/0.26 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
% 9.66/4.14 % (846607)Detected formulas, will run a generic FOF schedule.
% 9.66/4.14 % (846618)dis-21_1_sil=8000:lcm=predicate:random_seed=2137329821:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 9.66/4.14 % (846612)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=4238140205:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 9.66/4.14 % (846613)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=3944956656:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 9.66/4.14 % (846615)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=737394560:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 9.66/4.14 % (846614)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=2386089524:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 9.66/4.14 % (846617)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=590079474:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 9.66/4.14 % (846616)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1205019182:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 9.66/4.14 % (846618)Instruction limit reached!
% 9.66/4.14 % (846618)------------------------------
% 9.66/4.14 % (846618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/4.14 % (846618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/4.14 % (846618)CaDiCaL version: 2.1.3
% 9.66/4.14 % (846618)Termination reason: Instruction limit
% 9.66/4.14 % (846618)Termination phase: SInE selection
% 9.66/4.14 % (846618)Time elapsed: 0.076 s
% 9.66/4.14 % (846618)Peak memory usage: 111 MB
% 9.66/4.14 % (846618)Instructions burned: 129 (million)
% 9.66/4.14 % (846617)Instruction limit reached!
% 9.66/4.14 % (846617)------------------------------
% 9.66/4.14 % (846617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/4.14 % (846617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/4.14 % (846617)CaDiCaL version: 2.1.3
% 9.66/4.14 % (846617)Termination reason: Instruction limit
% 9.66/4.14 % (846617)Termination phase: Property scanning
% 9.66/4.14 % (846617)Time elapsed: 0.122 s
% 9.66/4.14 % (846617)Peak memory usage: 110 MB
% 9.66/4.14 % (846617)Instructions burned: 139 (million)
% 9.66/4.14 % (846615)Instruction limit reached!
% 9.66/4.14 % (846615)------------------------------
% 9.66/4.14 % (846615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/4.14 % (846615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/4.14 % (846615)CaDiCaL version: 2.1.3
% 9.66/4.14 % (846615)Termination reason: Instruction limit
% 9.66/4.14 % (846615)Termination phase: Saturation
% 9.66/4.14 % (846615)Time elapsed: 0.124 s
% 9.66/4.14 % (846615)Peak memory usage: 116 MB
% 9.66/4.14 % (846615)Instructions burned: 110 (million)
% 9.66/4.14 % (846616)Instruction limit reached!
% 9.66/4.14 % (846616)------------------------------
% 9.66/4.14 % (846616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/4.14 % (846616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/4.14 % (846616)CaDiCaL version: 2.1.3
% 9.66/4.14 % (846616)Termination reason: Instruction limit
% 9.66/4.14 % (846616)Termination phase: Saturation
% 9.66/4.14 % (846616)Time elapsed: 0.129 s
% 9.66/4.14 % (846616)Peak memory usage: 116 MB
% 9.66/4.14 % (846616)Instructions burned: 120 (million)
% 9.66/4.14 % (846626)lrs+10_1_sil=8000:sp=occurrence:random_seed=1515025676:i=285:sd=3:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/285Mi)
% 9.66/4.14 % (846626)First to succeed.
% 9.66/4.14 % (846626)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-846607"
% 9.66/4.14 % (846627)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2401724065:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/157Mi)
% 9.66/4.14 % (846628)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1750225655:i=325:sd=1:ss=axioms:sgt=32_2978 on theBenchmark for (2978ds/325Mi)
% 9.66/4.14 % (846629)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=3591874059:s2a=on:i=248:s2at=1.23:gtg=position_2978 on theBenchmark for (2978ds/248Mi)
% 9.66/4.14 % (846627)Instruction limit reached!
% 9.66/4.14 % (846627)------------------------------
% 9.66/4.14 % (846627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/4.14 % (846627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/4.14 % (846627)CaDiCaL version: 2.1.3
% 9.66/4.14 % (846627)Termination reason: Instruction limit
% 9.66/4.14 % (846627)Termination phase: Property scanning
% 9.66/4.14 % (846627)Time elapsed: 0.135 s
% 9.66/4.14 % (846627)Peak memory usage: 110 MB
% 9.66/4.14 % (846627)Instructions burned: 157 (million)
% 9.66/4.14 % (846628)Also succeeded, but the first one will report.
% 9.66/4.14 % (846629)Instruction limit reached!
% 9.66/4.14 % (846629)------------------------------
% 9.66/4.14 % (846629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/4.14 % (846629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/4.14 % (846629)CaDiCaL version: 2.1.3
% 9.66/4.14 % (846629)Termination reason: Instruction limit
% 9.66/4.14 % (846629)Termination phase: SInE selection
% 9.66/4.14 % (846629)Time elapsed: 0.222 s
% 9.66/4.14 % (846629)Peak memory usage: 111 MB
% 9.66/4.14 % (846629)Instructions burned: 248 (million)
% 9.66/4.14 % (846626)Refutation found. Thanks to Tanya!
% 9.66/4.14 % SZS status Theorem for theBenchmark
% 9.66/4.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.66/4.14 % (846626)------------------------------
% 9.66/4.14 % (846626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/4.14 % (846626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/4.14 % (846626)CaDiCaL version: 2.1.3
% 9.66/4.14 % (846626)Termination reason: Refutation
% 9.66/4.14 % (846626)Time elapsed: 0.084 s
% 9.66/4.14 % (846626)Peak memory usage: 120 MB
% 9.66/4.14 % (846626)Instructions burned: 113 (million)
% 9.66/4.14 % (846626)------------------------------
% 9.66/4.14 % (846626)------------------------------
% 9.66/4.14 % (846607)Success in time 2.694 s
% 9.66/4.14 % Vampire exiting
%------------------------------------------------------------------------------