%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR047+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 : n002.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 09:42:17 AM UTC 2026
% Result : Theorem 2.71s 1.29s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 9 unt; 2 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 10 |; 1 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1351,axiom,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1351) ).
fof(f7642,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7642) ).
fof(f8006,conjecture,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query147) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8015,plain,
( ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
& mtvisible(c_tptpgeo_member4_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8018,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f7642]) ).
fof(f8021,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(ennf_transformation,[],[f1351]) ).
fof(f8060,plain,
mtvisible(c_tptpgeo_member4_mt),
inference(cnf_transformation,[],[f8015]) ).
fof(f8061,plain,
~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(cnf_transformation,[],[f8015]) ).
fof(f8065,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f8018]) ).
fof(f8070,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(cnf_transformation,[],[f8021]) ).
fof(f8211,definition,
( spl0_16
<=> mtvisible(c_tptpgeo_member4_mt) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f8212,plain,
( ~ mtvisible(c_tptpgeo_member4_mt)
| spl0_16 ),
inference(avatar_component_clause,[],[f8211]) ).
fof(f8222,definition,
( spl0_19
<=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f8223,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f8222]) ).
fof(f8225,plain,
( ~ spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f8070,f8222,f8211]) ).
fof(f8226,plain,
( $false
| spl0_16 ),
inference(resolution,[],[f8212,f8060]) ).
fof(f8227,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f8226]) ).
fof(f8237,plain,
~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
inference(resolution,[],[f8065,f8061]) ).
fof(f8239,plain,
( $false
| ~ spl0_19 ),
inference(resolution,[],[f8237,f8223]) ).
fof(f8241,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f8239]) ).
cnf(s19,plain,
( ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f8225]) ).
cnf(s20,plain,
spl0_16,
inference(sat_conversion,[],[f8227]) ).
cnf(s21,plain,
~ spl0_19,
inference(sat_conversion,[],[f8241]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s19,s21,s20]) ).
fof(f8242,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR047+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 22:19:23 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.71/1.29 % (843367)Detected formulas, will run a generic FOF schedule.
% 2.71/1.29 % (843384)dis-21_1_sil=8000:lcm=predicate:random_seed=1711450193: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)
% 2.71/1.29 % (843384)First to succeed.
% 2.71/1.29 % (843384)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-843367"
% 2.71/1.29 % (843382)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4222707732:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.71/1.29 % (843380)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=3597068634:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.71/1.29 % (843383)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=838082207:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.71/1.29 % (843378)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=1134492039:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.71/1.29 % (843381)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3002538104:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.71/1.29 % (843379)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=699346877:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.71/1.29 % (843381)Refutation not found, incomplete strategy
% 2.71/1.29 % (843381)------------------------------
% 2.71/1.29 % (843381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.29 % (843381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.29 % (843381)CaDiCaL version: 2.1.3
% 2.71/1.29 % (843381)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.29 % (843381)Time elapsed: 0.016 s
% 2.71/1.29 % (843381)Peak memory usage: 94 MB
% 2.71/1.29 % (843381)Instructions burned: 24 (million)
% 2.71/1.29 % (843382)Also succeeded, but the first one will report.
% 2.71/1.29 % (843383)Instruction limit reached!
% 2.71/1.29 % (843383)------------------------------
% 2.71/1.29 % (843383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.29 % (843383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.29 % (843383)CaDiCaL version: 2.1.3
% 2.71/1.29 % (843383)Termination reason: Instruction limit
% 2.71/1.29 % (843383)Termination phase: Property scanning
% 2.71/1.29 % (843383)Time elapsed: 0.084 s
% 2.71/1.29 % (843383)Peak memory usage: 93 MB
% 2.71/1.29 % (843383)Instructions burned: 139 (million)
% 2.71/1.29 % (843384)Refutation found. Thanks to Tanya!
% 2.71/1.29 % SZS status Theorem for theBenchmark
% 2.71/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.29 % (843384)------------------------------
% 2.71/1.29 % (843384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.29 % (843384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.29 % (843384)CaDiCaL version: 2.1.3
% 2.71/1.29 % (843384)Termination reason: Refutation
% 2.71/1.29 % (843384)Time elapsed: 0.014 s
% 2.71/1.29 % (843384)Peak memory usage: 95 MB
% 2.71/1.29 % (843384)Instructions burned: 35 (million)
% 2.71/1.29 % (843384)------------------------------
% 2.71/1.29 % (843384)------------------------------
% 2.71/1.29 % (843367)Success in time 0.43 s
% 2.71/1.29 % Vampire exiting
%------------------------------------------------------------------------------