%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR042+2 : 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 09:42:13 AM UTC 2026
% Result : Theorem 0.19s 1.30s
% Output : Refutation 0.19s
% 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(f122,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_122) ).
fof(f900,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_900) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query92) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1139,plain,
! [X0] :
( ~ borderson(X0,c_georegion_l4_x27_y64)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1143,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f900]) ).
fof(f1146,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f122]) ).
fof(f1178,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f1139]) ).
fof(f1179,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
inference(cnf_transformation,[],[f1139]) ).
fof(f1184,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f1143]) ).
fof(f1187,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f1146]) ).
fof(f1250,definition,
( spl0_8
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f1251,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| spl0_8 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1257,definition,
( spl0_10
<=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f1258,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1259,plain,
( ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f1187,f1257,f1250]) ).
fof(f1264,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f1251,f1178]) ).
fof(f1265,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f1264]) ).
fof(f1287,plain,
! [X0] : ~ borderson(c_georegion_l4_x27_y64,X0),
inference(resolution,[],[f1184,f1179]) ).
fof(f1291,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f1287,f1258]) ).
fof(f1293,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1291]) ).
cnf(s7,plain,
( ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s9,plain,
spl0_8,
inference(sat_conversion,[],[f1265]) ).
cnf(s10,plain,
~ spl0_10,
inference(sat_conversion,[],[f1293]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s7,s10,s9]) ).
fof(f1294,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR042+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 22:17:41 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 0.19/1.30 % (3855400)Detected formulas, will run a generic FOF schedule.
% 0.19/1.30 % (3855408)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=47703857:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.19/1.30 % (3855408)Refutation not found, incomplete strategy
% 0.19/1.30 % (3855408)------------------------------
% 0.19/1.30 % (3855408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3855408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3855408)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3855408)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (3855408)Time elapsed: 0.002 s
% 0.19/1.30 % (3855408)Peak memory usage: 88 MB
% 0.19/1.30 % (3855408)Instructions burned: 3 (million)
% 0.19/1.30 % (3855405)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=1721001262:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.19/1.30 % (3855407)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=1108478218:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.19/1.30 % (3855406)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=1140579059:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.19/1.30 % (3855410)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3860592197:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.19/1.30 % (3855411)dis-21_1_sil=8000:lcm=predicate:random_seed=3320647000: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)
% 0.19/1.30 % (3855409)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1877285574:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.19/1.30 % (3855411)First to succeed.
% 0.19/1.30 % (3855411)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3855400"
% 0.19/1.30 % (3855410)Also succeeded, but the first one will report.
% 0.19/1.30 % (3855409)Instruction limit reached!
% 0.19/1.30 % (3855409)------------------------------
% 0.19/1.30 % (3855409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3855409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3855409)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3855409)Termination reason: Instruction limit
% 0.19/1.30 % (3855409)Termination phase: Saturation
% 0.19/1.30 % (3855409)Time elapsed: 0.047 s
% 0.19/1.30 % (3855409)Peak memory usage: 88 MB
% 0.19/1.30 % (3855409)Instructions burned: 122 (million)
% 0.19/1.30 % (3855408)------------------------------
% 0.19/1.30 % (3855408)------------------------------
% 0.19/1.30 % (3855419)lrs+10_1_sil=8000:sp=occurrence:random_seed=439758158:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.19/1.30 % (3855419)Also succeeded, but the first one will report.
% 0.19/1.30 % (3855420)lrs+10_1_sil=32000:urr=on:br=off:random_seed=446600202:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.19/1.30 % (3855420)Also succeeded, but the first one will report.
% 0.19/1.30 % (3855411)Refutation found. Thanks to Tanya!
% 0.19/1.30 % SZS status Theorem for theBenchmark
% 0.19/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (3855411)------------------------------
% 0.19/1.30 % (3855411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3855411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3855411)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3855411)Termination reason: Refutation
% 0.19/1.30 % (3855411)Time elapsed: 0.005 s
% 0.19/1.30 % (3855411)Peak memory usage: 90 MB
% 0.19/1.30 % (3855411)Instructions burned: 6 (million)
% 0.19/1.30 % (3855411)------------------------------
% 0.19/1.30 % (3855411)------------------------------
% 0.19/1.30 % (3855400)Success in time 0.45 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------