%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR059+2 : 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 : n002.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 09:42:26 AM UTC 2026
% Result : Theorem 0.33s 2.17s
% Output : Refutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 11 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_104) ).
fof(f407,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_407) ).
fof(f900,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_900) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query109) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1134,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1135,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1136,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f1135]) ).
fof(f1137,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f900]) ).
fof(f1138,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(ennf_transformation,[],[f104]) ).
fof(f1141,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f1134]) ).
fof(f1142,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[],[f1134]) ).
fof(f1143,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f1136]) ).
fof(f1145,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f1137]) ).
fof(f1146,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(cnf_transformation,[],[f1138]) ).
fof(f1149,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[],[f407]) ).
fof(f1150,plain,
~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolution,[],[f1145,f1142]) ).
fof(f1152,plain,
~ mtvisible(c_tptpgeo_member5_mt),
inference(resolution,[],[f1150,f1146]) ).
fof(f1155,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member5_mt) ),
inference(resolution,[],[f1143,f1149]) ).
fof(f1156,plain,
mtvisible(c_tptpgeo_member5_mt),
inference(forward_subsumption_resolution,[],[f1155,f1141]) ).
fof(f1159,plain,
$false,
inference(forward_subsumption_resolution,[],[f1152,f1156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR059+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.29 % Computer : n002.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Sep 28 22:24:07 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.29/0.35 Running first-order theorem proving
% 0.29/0.35 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
% 0.33/2.17 % (847624)Detected formulas, will run a generic FOF schedule.
% 0.33/2.17 % (847629)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=1609028749:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.33/2.17 % (847632)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1991983873:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.33/2.17 % (847631)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=3706913059:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.33/2.17 % (847630)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=2389865770:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.33/2.17 % (847632)Refutation not found, incomplete strategy
% 0.33/2.17 % (847632)------------------------------
% 0.33/2.17 % (847632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.33/2.17 % (847632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/2.17 % (847632)CaDiCaL version: 2.1.3
% 0.33/2.17 % (847632)Termination reason: Refutation not found, incomplete strategy
% 0.33/2.17 % (847632)Time elapsed: 0.005 s
% 0.33/2.17 % (847632)Peak memory usage: 88 MB
% 0.33/2.17 % (847632)Instructions burned: 3 (million)
% 0.33/2.17 % (847633)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2429263681:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.33/2.17 % (847634)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3657746071:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.33/2.17 % (847633)First to succeed.
% 0.33/2.17 % (847633)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-847624"
% 0.33/2.17 % (847635)dis-21_1_sil=8000:lcm=predicate:random_seed=478296671: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)
% 0.33/2.17 % (847635)Also succeeded, but the first one will report.
% 0.33/2.17 % (847634)Also succeeded, but the first one will report.
% 0.33/2.17 % (847632)------------------------------
% 0.33/2.17 % (847632)------------------------------
% 0.33/2.17 % (847633)Refutation found. Thanks to Tanya!
% 0.33/2.17 % SZS status Theorem for theBenchmark
% 0.33/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.33/2.17 % (847633)------------------------------
% 0.33/2.17 % (847633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.33/2.17 % (847633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/2.17 % (847633)CaDiCaL version: 2.1.3
% 0.33/2.17 % (847633)Termination reason: Refutation
% 0.33/2.17 % (847633)Time elapsed: 0.006 s
% 0.33/2.17 % (847633)Peak memory usage: 88 MB
% 0.33/2.17 % (847633)Instructions burned: 4 (million)
% 0.33/2.17 % (847633)------------------------------
% 0.33/2.17 % (847633)------------------------------
% 0.33/2.17 % (847624)Success in time 0.757 s
% 0.33/2.17 % Vampire exiting
%------------------------------------------------------------------------------