%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR069+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 : n011.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 09:42:35 AM UTC 2026
% Result : Theorem 6.82s 1.92s
% Output : Refutation 6.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 2 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 4 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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 : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12725,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_12725) ).
fof(f44217,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query219) ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44223,plain,
( ~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
& mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44229,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f12725]) ).
fof(f44237,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f44223]) ).
fof(f44238,plain,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(cnf_transformation,[],[f44223]) ).
fof(f44246,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f44229]) ).
fof(f44254,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44268,definition,
( spl0_4
<=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44272,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f44246,f44268,f44254]) ).
fof(f44273,plain,
spl0_1,
inference(avatar_split_clause,[],[f44237,f44254]) ).
fof(f44274,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f44238,f44268]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f44272]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f44273]) ).
cnf(s6,plain,
~ spl0_4,
inference(sat_conversion,[],[f44274]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s4,s6,s5]) ).
fof(f44275,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:24:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 6.82/1.92 % (3854248)Detected formulas, will run a generic FOF schedule.
% 6.82/1.92 % (3854329)dis-21_1_sil=8000:lcm=predicate:random_seed=1139236475:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 6.82/1.92 % (3854327)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2368062929:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 6.82/1.92 % (3854326)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1639581074:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 6.82/1.92 % (3854324)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=1524593856:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 6.82/1.92 % (3854325)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=1633716563:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 6.82/1.92 % (3854323)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=2302829904:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 6.82/1.92 % (3854329)Instruction limit reached!
% 6.82/1.92 % (3854329)------------------------------
% 6.82/1.92 % (3854329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.92 % (3854329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.92 % (3854329)CaDiCaL version: 2.1.3
% 6.82/1.92 % (3854329)Termination reason: Instruction limit
% 6.82/1.92 % (3854329)Termination phase: SInE selection
% 6.82/1.92 % (3854329)Time elapsed: 0.073 s
% 6.82/1.92 % (3854329)Peak memory usage: 111 MB
% 6.82/1.92 % (3854329)Instructions burned: 130 (million)
% 6.82/1.92 % (3854328)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=121427828:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 6.82/1.92 % (3854327)Instruction limit reached!
% 6.82/1.92 % (3854327)------------------------------
% 6.82/1.92 % (3854327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.92 % (3854327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.92 % (3854327)CaDiCaL version: 2.1.3
% 6.82/1.92 % (3854327)Termination reason: Instruction limit
% 6.82/1.92 % (3854327)Termination phase: Saturation
% 6.82/1.92 % (3854327)Time elapsed: 0.089 s
% 6.82/1.92 % (3854327)Peak memory usage: 116 MB
% 6.82/1.92 % (3854327)Instructions burned: 119 (million)
% 6.82/1.92 % (3854326)Instruction limit reached!
% 6.82/1.92 % (3854326)------------------------------
% 6.82/1.92 % (3854326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.92 % (3854326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.92 % (3854326)CaDiCaL version: 2.1.3
% 6.82/1.92 % (3854326)Termination reason: Instruction limit
% 6.82/1.92 % (3854326)Termination phase: Saturation
% 6.82/1.92 % (3854326)Time elapsed: 0.124 s
% 6.82/1.92 % (3854326)Peak memory usage: 116 MB
% 6.82/1.92 % (3854326)Instructions burned: 110 (million)
% 6.82/1.92 % (3854328)Instruction limit reached!
% 6.82/1.92 % (3854328)------------------------------
% 6.82/1.92 % (3854328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.92 % (3854328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.92 % (3854328)CaDiCaL version: 2.1.3
% 6.82/1.92 % (3854328)Termination reason: Instruction limit
% 6.82/1.92 % (3854328)Termination phase: Property scanning
% 6.82/1.92 % (3854328)Time elapsed: 0.124 s
% 6.82/1.92 % (3854328)Peak memory usage: 110 MB
% 6.82/1.92 % (3854328)Instructions burned: 139 (million)
% 6.82/1.92 % (3854349)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3710495551:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 6.82/1.92 % (3854347)lrs+10_1_sil=8000:sp=occurrence:random_seed=4115948276:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 6.82/1.92 % (3854355)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=2448986716:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 6.82/1.92 % (3854354)lrs+1011_1_sil=32000:sp=occurrence:random_seed=163761268:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 6.82/1.92 % (3854349)Instruction limit reached!
% 6.82/1.92 % (3854349)------------------------------
% 6.82/1.92 % (3854349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.92 % (3854349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.92 % (3854349)CaDiCaL version: 2.1.3
% 6.82/1.92 % (3854349)Termination reason: Instruction limit
% 6.82/1.92 % (3854349)Termination phase: Property scanning
% 6.82/1.92 % (3854349)Time elapsed: 0.072 s
% 6.82/1.92 % (3854349)Peak memory usage: 110 MB
% 6.82/1.92 % (3854349)Instructions burned: 158 (million)
% 6.82/1.92 % (3854355)Instruction limit reached!
% 6.82/1.92 % (3854355)------------------------------
% 6.82/1.92 % (3854355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.92 % (3854355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.92 % (3854355)CaDiCaL version: 2.1.3
% 6.82/1.92 % (3854355)Termination reason: Instruction limit
% 6.82/1.92 % (3854355)Termination phase: SInE selection
% 6.82/1.92 % (3854355)Time elapsed: 0.067 s
% 6.82/1.92 % (3854355)Peak memory usage: 111 MB
% 6.82/1.92 % (3854355)Instructions burned: 250 (million)
% 6.82/1.92 % (3854347)First to succeed.
% 6.82/1.92 % (3854347)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3854248"
% 6.82/1.92 % (3854354)Also succeeded, but the first one will report.
% 6.82/1.92 % (3854361)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3630764154:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 6.82/1.92 % (3854360)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4237552390:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 6.82/1.92 % (3854360)Also succeeded, but the first one will report.
% 6.82/1.92 % (3854347)Refutation found. Thanks to Tanya!
% 6.82/1.92 % SZS status Theorem for theBenchmark
% 6.82/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 6.82/1.92 % (3854347)------------------------------
% 6.82/1.92 % (3854347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.92 % (3854347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.92 % (3854347)CaDiCaL version: 2.1.3
% 6.82/1.92 % (3854347)Termination reason: Refutation
% 6.82/1.92 % (3854347)Time elapsed: 0.085 s
% 6.82/1.92 % (3854347)Peak memory usage: 120 MB
% 6.82/1.92 % (3854347)Instructions burned: 112 (million)
% 6.82/1.92 % (3854347)------------------------------
% 6.82/1.92 % (3854347)------------------------------
% 6.82/1.92 % (3854248)Success in time 1.262 s
% 6.82/1.92 % Vampire exiting
%------------------------------------------------------------------------------