%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR067+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 : n013.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 09:42:33 AM UTC 2026
% Result : Theorem 6.74s 2.49s
% Output : Refutation 6.74s
% 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(f4223,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4223) ).
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_x29_y75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query167) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x29_y75) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8021,plain,
! [X0] :
( ~ borderson(X0,c_georegion_l4_x29_y75)
& 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_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f4223]) ).
fof(f8080,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f8021]) ).
fof(f8081,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x29_y75),
inference(cnf_transformation,[],[f8021]) ).
fof(f8085,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f8024]) ).
fof(f8094,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f8029]) ).
fof(f8184,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f8185,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| spl0_1 ),
inference(avatar_component_clause,[],[f8184]) ).
fof(f8269,definition,
( spl0_22
<=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f8270,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f8269]) ).
fof(f8272,plain,
( ~ spl0_1
| spl0_22 ),
inference(avatar_split_clause,[],[f8094,f8269,f8184]) ).
fof(f8278,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f8185,f8080]) ).
fof(f8279,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f8278]) ).
fof(f8291,plain,
! [X0] : ~ borderson(c_georegion_l4_x29_y75,X0),
inference(resolution,[],[f8085,f8081]) ).
fof(f8294,plain,
( $false
| ~ spl0_22 ),
inference(resolution,[],[f8291,f8270]) ).
fof(f8296,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f8294]) ).
cnf(s24,plain,
( ~ spl0_1
| spl0_22 ),
inference(sat_conversion,[],[f8272]) ).
cnf(s27,plain,
spl0_1,
inference(sat_conversion,[],[f8279]) ).
cnf(s28,plain,
~ spl0_22,
inference(sat_conversion,[],[f8296]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s24,s28,s27]) ).
fof(f8298,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR067+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.31 % Computer : n013.cluster.edu
% 0.28/0.31 % Model : x86_64 x86_64
% 0.28/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.31 % Memory : 8046.5625MB
% 0.28/0.31 % OS : Linux 6.8.0-71-generic
% 0.28/0.31 % CPULimit : 300
% 0.28/0.31 % WCLimit : 300
% 0.28/0.31 % DateTime : Mon Sep 28 22:22:36 UTC 2026
% 0.28/0.31 % CPUTime :
% 0.28/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.37 Running first-order theorem proving
% 0.28/0.37 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
% 6.74/2.49 % (1655035)Detected formulas, will run a generic FOF schedule.
% 6.74/2.49 % (1655044)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1534399334:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 6.74/2.49 % (1655044)Instruction limit reached!
% 6.74/2.49 % (1655044)------------------------------
% 6.74/2.49 % (1655044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/2.49 % (1655044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/2.49 % (1655044)CaDiCaL version: 2.1.3
% 6.74/2.49 % (1655044)Termination reason: Instruction limit
% 6.74/2.49 % (1655044)Termination phase: Saturation
% 6.74/2.49 % (1655044)Time elapsed: 0.046 s
% 6.74/2.49 % (1655044)Peak memory usage: 93 MB
% 6.74/2.49 % (1655044)Instructions burned: 120 (million)
% 6.74/2.49 % (1655040)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=3346552290:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 6.74/2.49 % (1655041)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=209270491:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 6.74/2.49 % (1655042)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=3658941335:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 6.74/2.49 % (1655046)dis-21_1_sil=8000:lcm=predicate:random_seed=531917174:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 6.74/2.49 % (1655043)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4106635867:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 6.74/2.49 % (1655045)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1246521191:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 6.74/2.49 % (1655043)Refutation not found, incomplete strategy
% 6.74/2.49 % (1655043)------------------------------
% 6.74/2.49 % (1655043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/2.49 % (1655043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/2.49 % (1655043)CaDiCaL version: 2.1.3
% 6.74/2.49 % (1655043)Termination reason: Refutation not found, incomplete strategy
% 6.74/2.49 % (1655043)Time elapsed: 0.026 s
% 6.74/2.49 % (1655043)Peak memory usage: 93 MB
% 6.74/2.49 % (1655043)Instructions burned: 24 (million)
% 6.74/2.49 % (1655046)First to succeed.
% 6.74/2.49 % (1655046)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1655035"
% 6.74/2.49 % (1655045)Instruction limit reached!
% 6.74/2.49 % (1655045)------------------------------
% 6.74/2.49 % (1655045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/2.49 % (1655045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/2.49 % (1655045)CaDiCaL version: 2.1.3
% 6.74/2.49 % (1655045)Termination reason: Instruction limit
% 6.74/2.49 % (1655045)Termination phase: Property scanning
% 6.74/2.49 % (1655045)Time elapsed: 0.155 s
% 6.74/2.49 % (1655045)Peak memory usage: 92 MB
% 6.74/2.49 % (1655045)Instructions burned: 139 (million)
% 6.74/2.49 % (1655051)lrs+10_1_sil=8000:sp=occurrence:random_seed=2032749836:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 6.74/2.49 % (1655051)Also succeeded, but the first one will report.
% 6.74/2.49 % (1655043)------------------------------
% 6.74/2.49 % (1655043)------------------------------
% 6.74/2.49 % (1655046)Refutation found. Thanks to Tanya!
% 6.74/2.49 % SZS status Theorem for theBenchmark
% 6.74/2.49 % SZS output start Proof for theBenchmark
% See solution above
% 6.74/2.49 % (1655046)------------------------------
% 6.74/2.49 % (1655046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/2.49 % (1655046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/2.49 % (1655046)CaDiCaL version: 2.1.3
% 6.74/2.49 % (1655046)Termination reason: Refutation
% 6.74/2.49 % (1655046)Time elapsed: 0.038 s
% 6.74/2.49 % (1655046)Peak memory usage: 95 MB
% 6.74/2.49 % (1655046)Instructions burned: 36 (million)
% 6.74/2.49 % (1655046)------------------------------
% 6.74/2.49 % (1655046)------------------------------
% 6.74/2.49 % (1655035)Success in time 1.044 s
% 6.74/2.49 % Vampire exiting
%------------------------------------------------------------------------------