%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR047+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 : n020.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 10.12s 4.28s
% Output : Refutation 10.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 9 unt; 2 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 8 |; 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(f20643,axiom,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_20643) ).
fof(f43084,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_43084) ).
fof(f44217,conjecture,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query197) ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44221,plain,
( ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
& mtvisible(c_tptpgeo_member4_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44224,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f43084]) ).
fof(f44228,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(ennf_transformation,[],[f20643]) ).
fof(f44231,plain,
mtvisible(c_tptpgeo_member4_mt),
inference(cnf_transformation,[],[f44221]) ).
fof(f44232,plain,
~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(cnf_transformation,[],[f44221]) ).
fof(f44236,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f44224]) ).
fof(f44240,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(cnf_transformation,[],[f44228]) ).
fof(f44246,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member4_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44255,definition,
( spl0_3
<=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f44257,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f44255]) ).
fof(f44259,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f44240,f44255,f44246]) ).
fof(f44275,plain,
spl0_1,
inference(avatar_split_clause,[],[f44231,f44246]) ).
fof(f44276,plain,
~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
inference(resolution,[],[f44236,f44232]) ).
fof(f44278,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f44276,f44257]) ).
fof(f44279,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f44278]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f44259]) ).
cnf(s7,plain,
spl0_1,
inference(sat_conversion,[],[f44275]) ).
cnf(s8,plain,
~ spl0_3,
inference(sat_conversion,[],[f44279]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s8,s7]) ).
fof(f44280,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR047+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.29 % Computer : n020.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8046.5625MB
% 0.11/0.29 % OS : Linux 6.8.0-71-generic
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Sep 28 22:17:34 UTC 2026
% 0.29/0.30 % CPUTime :
% 0.29/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.29/0.36 Running first-order theorem proving
% 0.29/0.36 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
% 10.12/4.28 % (634625)Detected formulas, will run a generic FOF schedule.
% 10.12/4.28 % (634649)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=3280329181:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 10.12/4.28 % (634647)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=441731763:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 10.12/4.28 % (634648)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=1218992176:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 10.12/4.28 % (634651)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=531031178:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 10.12/4.28 % (634650)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=55021843:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 10.12/4.28 % (634652)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=746577185:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 10.12/4.28 % (634653)dis-21_1_sil=8000:lcm=predicate:random_seed=1331054910:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 10.12/4.28 % (634650)Instruction limit reached!
% 10.12/4.28 % (634650)------------------------------
% 10.12/4.28 % (634650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/4.28 % (634650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/4.28 % (634650)CaDiCaL version: 2.1.3
% 10.12/4.28 % (634650)Termination reason: Instruction limit
% 10.12/4.28 % (634650)Termination phase: Saturation
% 10.12/4.28 % (634650)Time elapsed: 0.125 s
% 10.12/4.28 % (634650)Peak memory usage: 117 MB
% 10.12/4.28 % (634650)Instructions burned: 109 (million)
% 10.12/4.28 % (634651)Instruction limit reached!
% 10.12/4.28 % (634651)------------------------------
% 10.12/4.28 % (634651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/4.28 % (634651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/4.28 % (634651)CaDiCaL version: 2.1.3
% 10.12/4.28 % (634651)Termination reason: Instruction limit
% 10.12/4.28 % (634651)Termination phase: Saturation
% 10.12/4.28 % (634651)Time elapsed: 0.128 s
% 10.12/4.28 % (634651)Peak memory usage: 116 MB
% 10.12/4.28 % (634651)Instructions burned: 119 (million)
% 10.12/4.28 % (634652)Instruction limit reached!
% 10.12/4.28 % (634652)------------------------------
% 10.12/4.28 % (634652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/4.28 % (634652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/4.28 % (634652)CaDiCaL version: 2.1.3
% 10.12/4.28 % (634652)Termination reason: Instruction limit
% 10.12/4.28 % (634652)Termination phase: Property scanning
% 10.12/4.28 % (634652)Time elapsed: 0.116 s
% 10.12/4.28 % (634652)Peak memory usage: 111 MB
% 10.12/4.28 % (634652)Instructions burned: 140 (million)
% 10.12/4.28 % (634653)Instruction limit reached!
% 10.12/4.28 % (634653)------------------------------
% 10.12/4.28 % (634653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/4.28 % (634653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/4.28 % (634653)CaDiCaL version: 2.1.3
% 10.12/4.28 % (634653)Termination reason: Instruction limit
% 10.12/4.28 % (634653)Termination phase: SInE selection
% 10.12/4.28 % (634653)Time elapsed: 0.124 s
% 10.12/4.28 % (634653)Peak memory usage: 111 MB
% 10.12/4.28 % (634653)Instructions burned: 129 (million)
% 10.12/4.28 % (634663)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3132777474:i=325:sd=1:ss=axioms:sgt=32_2978 on theBenchmark for (2978ds/325Mi)
% 10.12/4.28 % (634661)lrs+10_1_sil=8000:sp=occurrence:random_seed=3764697492:i=285:sd=3:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/285Mi)
% 10.12/4.28 % (634662)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3997664613:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/157Mi)
% 10.12/4.28 % (634664)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=3872763607:s2a=on:i=248:s2at=1.23:gtg=position_2978 on theBenchmark for (2978ds/248Mi)
% 10.12/4.28 % (634663)First to succeed.
% 10.12/4.28 % (634663)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-634625"
% 10.12/4.28 % (634661)Also succeeded, but the first one will report.
% 10.12/4.28 % (634662)Instruction limit reached!
% 10.12/4.28 % (634662)------------------------------
% 10.12/4.28 % (634662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/4.28 % (634662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/4.28 % (634662)CaDiCaL version: 2.1.3
% 10.12/4.28 % (634662)Termination reason: Instruction limit
% 10.12/4.28 % (634662)Termination phase: Property scanning
% 10.12/4.28 % (634662)Time elapsed: 0.129 s
% 10.12/4.28 % (634662)Peak memory usage: 111 MB
% 10.12/4.28 % (634662)Instructions burned: 158 (million)
% 10.12/4.28 % (634664)Instruction limit reached!
% 10.12/4.28 % (634664)------------------------------
% 10.12/4.28 % (634664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/4.28 % (634664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/4.28 % (634664)CaDiCaL version: 2.1.3
% 10.12/4.28 % (634664)Termination reason: Instruction limit
% 10.12/4.28 % (634664)Termination phase: SInE selection
% 10.12/4.28 % (634664)Time elapsed: 0.210 s
% 10.12/4.28 % (634664)Peak memory usage: 111 MB
% 10.12/4.28 % (634664)Instructions burned: 249 (million)
% 10.12/4.28 % (634663)Refutation found. Thanks to Tanya!
% 10.12/4.28 % SZS status Theorem for theBenchmark
% 10.12/4.28 % SZS output start Proof for theBenchmark
% See solution above
% 10.12/4.28 % (634663)------------------------------
% 10.12/4.28 % (634663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/4.28 % (634663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/4.28 % (634663)CaDiCaL version: 2.1.3
% 10.12/4.28 % (634663)Termination reason: Refutation
% 10.12/4.28 % (634663)Time elapsed: 0.082 s
% 10.12/4.28 % (634663)Peak memory usage: 120 MB
% 10.12/4.28 % (634663)Instructions burned: 112 (million)
% 10.12/4.28 % (634663)------------------------------
% 10.12/4.28 % (634663)------------------------------
% 10.12/4.28 % (634625)Success in time 2.743 s
% 10.12/4.28 % Vampire exiting
%------------------------------------------------------------------------------