%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR037+1 : 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 : n018.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 09:42:08 AM UTC 2026
% Result : Theorem 3.58s 1.21s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 11 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f13,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( geographicalsubregions(X0,X1)
& geographicalsubregions(X1,X2) )
=> geographicalsubregions(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f66,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query37) ).
fof(f67,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f68,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f67]) ).
fof(f71,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f72,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f12]) ).
fof(f74,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f13]) ).
fof(f77,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f68]) ).
fof(f78,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(cnf_transformation,[],[f68]) ).
fof(f80,plain,
! [X2,X0,X1] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f81,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f73]) ).
fof(f82,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f74]) ).
fof(f84,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
inference(forward_subsumption_resolution,[],[f81,f77]) ).
fof(f85,plain,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(forward_subsumption_resolution,[],[f82,f77]) ).
fof(f86,plain,
! [X0] :
( ~ geographicalsubregions(c_georegion_l2_x5_y8,X0)
| ~ geographicalsubregions(X0,c_georegion_l4_x45_y72) ),
inference(resolution,[],[f80,f78]) ).
fof(f88,plain,
~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(resolution,[],[f86,f84]) ).
fof(f90,plain,
$false,
inference(forward_subsumption_resolution,[],[f88,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n018.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 22:16:10 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 3.58/1.21 % (3852091)Detected formulas, will run a generic FOF schedule.
% 3.58/1.21 % (3852172)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1843873380:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.58/1.21 % (3852172)Refutation not found, incomplete strategy
% 3.58/1.21 % (3852172)------------------------------
% 3.58/1.21 % (3852172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.21 % (3852172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.21 % (3852172)CaDiCaL version: 2.1.3
% 3.58/1.21 % (3852172)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.21 % (3852172)Time elapsed: 0.001 s
% 3.58/1.21 % (3852172)Peak memory usage: 87 MB
% 3.58/1.21 % (3852170)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=723190387:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.58/1.21 % (3852171)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=3015036431:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.58/1.21 % (3852175)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1695949876:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.58/1.21 % (3852168)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=176830641:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.58/1.21 % (3852174)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3535800765:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.58/1.21 % (3852174)First to succeed.
% 3.58/1.21 % (3852174)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3852091"
% 3.58/1.21 % (3852175)Also succeeded, but the first one will report.
% 3.58/1.21 % (3852177)dis-21_1_sil=8000:lcm=predicate:random_seed=3217268694: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)
% 3.58/1.21 % (3852177)Also succeeded, but the first one will report.
% 3.58/1.21 % (3852172)------------------------------
% 3.58/1.21 % (3852172)------------------------------
% 3.58/1.21 % (3852233)lrs+10_1_sil=8000:sp=occurrence:random_seed=368254114:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.58/1.21 % (3852233)Also succeeded, but the first one will report.
% 3.58/1.21 % (3852174)Refutation found. Thanks to Tanya!
% 3.58/1.21 % SZS status Theorem for theBenchmark
% 3.58/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.21 % (3852174)------------------------------
% 3.58/1.21 % (3852174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.21 % (3852174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.21 % (3852174)CaDiCaL version: 2.1.3
% 3.58/1.21 % (3852174)Termination reason: Refutation
% 3.58/1.21 % (3852174)Time elapsed: 0.002 s
% 3.58/1.21 % (3852174)Peak memory usage: 88 MB
% 3.58/1.21 % (3852174)Instructions burned: 1 (million)
% 3.58/1.21 % (3852174)------------------------------
% 3.58/1.21 % (3852174)------------------------------
% 3.58/1.21 % (3852091)Success in time 0.435 s
% 3.58/1.21 % Vampire exiting
%------------------------------------------------------------------------------