%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR042+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 : n017.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 09:42:13 AM UTC 2026
% Result : Theorem 2.49s 0.98s
% Output : Refutation 2.49s
% 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 ( 3 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 : 11 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3002,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3002) ).
fof(f7642,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7642) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query142) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8021,plain,
! [X0] :
( ~ borderson(X0,c_georegion_l4_x27_y64)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8024,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f7642]) ).
fof(f8029,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f3002]) ).
fof(f8079,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f8021]) ).
fof(f8080,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
inference(cnf_transformation,[],[f8021]) ).
fof(f8084,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f8024]) ).
fof(f8093,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f8029]) ).
fof(f8182,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f8183,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| spl0_1 ),
inference(avatar_component_clause,[],[f8182]) ).
fof(f8263,definition,
( spl0_21
<=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f8264,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f8263]) ).
fof(f8266,plain,
( ~ spl0_1
| spl0_21 ),
inference(avatar_split_clause,[],[f8093,f8263,f8182]) ).
fof(f8272,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f8183,f8079]) ).
fof(f8273,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f8272]) ).
fof(f8285,plain,
! [X0] : ~ borderson(c_georegion_l4_x27_y64,X0),
inference(resolution,[],[f8084,f8080]) ).
fof(f8288,plain,
( $false
| ~ spl0_21 ),
inference(resolution,[],[f8285,f8264]) ).
fof(f8290,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f8288]) ).
cnf(s23,plain,
( ~ spl0_1
| spl0_21 ),
inference(sat_conversion,[],[f8266]) ).
cnf(s26,plain,
spl0_1,
inference(sat_conversion,[],[f8273]) ).
cnf(s27,plain,
~ spl0_21,
inference(sat_conversion,[],[f8290]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s23,s27,s26]) ).
fof(f8292,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR042+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n017.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 22:10:51 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 2.49/0.98 % (4097158)Detected formulas, will run a generic FOF schedule.
% 2.49/0.98 % (4097169)dis-21_1_sil=8000:lcm=predicate:random_seed=4069116348: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)
% 2.49/0.98 % (4097169)First to succeed.
% 2.49/0.98 % (4097169)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4097158"
% 2.49/0.98 % (4097164)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=2947982648:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.49/0.98 % (4097168)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=578351133:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.49/0.98 % (4097165)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=3178243964:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.49/0.98 % (4097163)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=1204638056:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.49/0.98 % (4097167)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=474490971:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.49/0.98 % (4097166)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3584796885:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.49/0.98 % (4097167)Instruction limit reached!
% 2.49/0.98 % (4097167)------------------------------
% 2.49/0.98 % (4097167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.98 % (4097167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.98 % (4097167)CaDiCaL version: 2.1.3
% 2.49/0.98 % (4097167)Termination reason: Instruction limit
% 2.49/0.98 % (4097167)Termination phase: Saturation
% 2.49/0.98 % (4097167)Time elapsed: 0.053 s
% 2.49/0.98 % (4097167)Peak memory usage: 93 MB
% 2.49/0.98 % (4097167)Instructions burned: 120 (million)
% 2.49/0.98 % (4097166)Refutation not found, incomplete strategy
% 2.49/0.98 % (4097166)------------------------------
% 2.49/0.98 % (4097166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.98 % (4097166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.98 % (4097166)CaDiCaL version: 2.1.3
% 2.49/0.98 % (4097166)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.98 % (4097166)Time elapsed: 0.016 s
% 2.49/0.98 % (4097166)Peak memory usage: 93 MB
% 2.49/0.98 % (4097166)Instructions burned: 24 (million)
% 2.49/0.98 % (4097168)Instruction limit reached!
% 2.49/0.98 % (4097168)------------------------------
% 2.49/0.98 % (4097168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.98 % (4097168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.98 % (4097168)CaDiCaL version: 2.1.3
% 2.49/0.98 % (4097168)Termination reason: Instruction limit
% 2.49/0.98 % (4097168)Termination phase: Property scanning
% 2.49/0.98 % (4097168)Time elapsed: 0.075 s
% 2.49/0.98 % (4097168)Peak memory usage: 92 MB
% 2.49/0.98 % (4097168)Instructions burned: 140 (million)
% 2.49/0.98 % (4097169)Refutation found. Thanks to Tanya!
% 2.49/0.98 % SZS status Theorem for theBenchmark
% 2.49/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.98 % (4097169)------------------------------
% 2.49/0.98 % (4097169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.98 % (4097169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.98 % (4097169)CaDiCaL version: 2.1.3
% 2.49/0.98 % (4097169)Termination reason: Refutation
% 2.49/0.98 % (4097169)Time elapsed: 0.014 s
% 2.49/0.98 % (4097169)Peak memory usage: 95 MB
% 2.49/0.98 % (4097169)Instructions burned: 35 (million)
% 2.49/0.98 % (4097169)------------------------------
% 2.49/0.98 % (4097169)------------------------------
% 2.49/0.98 % (4097158)Success in time 0.353 s
% 2.49/0.98 % Vampire exiting
%------------------------------------------------------------------------------