%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR059+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 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 09:42:27 AM UTC 2026
% Result : Theorem 113.46s 31.46s
% Output : Refutation 113.46s
% 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27086,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_27086) ).
fof(f261199,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_261235) ).
fof(f540023,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_540068) ).
fof(f540175,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_540220) ).
fof(f540250,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query259) ).
fof(f540251,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f540250]) ).
fof(f540458,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f540251]) ).
fof(f540459,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f540023]) ).
fof(f540464,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(ennf_transformation,[],[f27086]) ).
fof(f540480,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f540175]) ).
fof(f540481,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f540480]) ).
fof(f540642,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f540458]) ).
fof(f540643,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[],[f540458]) ).
fof(f540645,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f540459]) ).
fof(f540650,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[],[f261199]) ).
fof(f540664,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(cnf_transformation,[],[f540464]) ).
fof(f540679,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f540481]) ).
fof(f541093,plain,
! [X0] :
( ~ genlmt(c_tptpgeo_spindlecollectormt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f540642,f540679]) ).
fof(f541094,plain,
~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolution,[],[f540643,f540645]) ).
fof(f541095,plain,
~ mtvisible(c_tptpgeo_member5_mt),
inference(resolution,[],[f541094,f540664]) ).
fof(f541104,plain,
mtvisible(c_tptpgeo_member5_mt),
inference(resolution,[],[f541093,f540650]) ).
fof(f541116,plain,
$false,
inference(forward_subsumption_resolution,[],[f541104,f541095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR059+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.31 % Computer : n018.cluster.edu
% 0.27/0.31 % Model : x86_64 x86_64
% 0.27/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.31 % Memory : 8046.5625MB
% 0.27/0.31 % OS : Linux 6.8.0-71-generic
% 0.27/0.31 % CPULimit : 300
% 0.27/0.31 % WCLimit : 300
% 0.27/0.31 % DateTime : Mon Sep 28 22:23:56 UTC 2026
% 0.27/0.31 % CPUTime :
% 0.27/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.36 Running first-order theorem proving
% 0.27/0.36 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
% 39.80/20.47 % (3862732)Detected formulas, will run a generic FOF schedule.
% 39.80/20.47 % (3862738)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=1996485219:i=141193_2838 on theBenchmark for (2838ds/141193Mi)
% 39.80/20.47 % (3862741)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2713339153:i=109:sd=1:ins=1:gsp=on:ss=axioms_2838 on theBenchmark for (2838ds/109Mi)
% 39.80/20.47 % (3862739)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=3415775010:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2838 on theBenchmark for (2838ds/134677Mi)
% 39.80/20.47 % (3862740)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=1693227958:i=141695:sd=1:nm=32:gsp=on:ss=included_2838 on theBenchmark for (2838ds/141695Mi)
% 39.80/20.47 % (3862742)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=903099685:i=119:av=off:ss=axioms_2838 on theBenchmark for (2838ds/119Mi)
% 39.80/20.47 % (3862741)Instruction limit reached!
% 39.80/20.47 % (3862741)------------------------------
% 39.80/20.47 % (3862741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.80/20.47 % (3862741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.80/20.47 % (3862741)CaDiCaL version: 2.1.3
% 39.80/20.47 % (3862741)Termination reason: Instruction limit
% 39.80/20.47 % (3862741)Termination phase: SInE selection
% 39.80/20.47 % (3862741)Time elapsed: 0.091 s
% 39.80/20.47 % (3862741)Peak memory usage: 463 MB
% 39.80/20.47 % (3862741)Instructions burned: 110 (million)
% 39.80/20.47 % (3862743)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1352959023:s2a=on:i=139:gtg=position_2838 on theBenchmark for (2838ds/139Mi)
% 39.80/20.47 % (3862744)dis-21_1_sil=8000:lcm=predicate:random_seed=1753506602:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2838 on theBenchmark for (2838ds/129Mi)
% 39.80/20.47 % (3862742)Instruction limit reached!
% 39.80/20.47 % (3862742)------------------------------
% 39.80/20.47 % (3862742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.80/20.47 % (3862742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.80/20.47 % (3862742)CaDiCaL version: 2.1.3
% 39.80/20.47 % (3862742)Termination reason: Instruction limit
% 39.80/20.47 % (3862742)Termination phase: SInE selection
% 39.80/20.47 % (3862742)Time elapsed: 0.147 s
% 39.80/20.47 % (3862742)Peak memory usage: 463 MB
% 39.80/20.47 % (3862742)Instructions burned: 119 (million)
% 39.80/20.47 % (3862744)Instruction limit reached!
% 39.80/20.47 % (3862744)------------------------------
% 39.80/20.47 % (3862744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.80/20.47 % (3862744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.80/20.47 % (3862744)CaDiCaL version: 2.1.3
% 39.80/20.47 % (3862744)Termination reason: Instruction limit
% 39.80/20.47 % (3862744)Termination phase: SInE selection
% 39.80/20.47 % (3862744)Time elapsed: 0.160 s
% 39.80/20.47 % (3862744)Peak memory usage: 463 MB
% 39.80/20.47 % (3862744)Instructions burned: 129 (million)
% 39.80/20.47 % (3862752)lrs+10_1_sil=8000:sp=occurrence:random_seed=617139236:i=285:sd=3:ss=axioms:sgt=8_2834 on theBenchmark for (2834ds/285Mi)
% 39.80/20.47 % (3862743)Instruction limit reached!
% 39.80/20.47 % (3862743)------------------------------
% 39.80/20.47 % (3862743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.80/20.47 % (3862743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.80/20.47 % (3862743)CaDiCaL version: 2.1.3
% 39.80/20.47 % (3862743)Termination reason: Instruction limit
% 39.80/20.47 % (3862743)Termination phase: Property scanning
% 39.80/20.47 % (3862743)Time elapsed: 0.281 s
% 39.80/20.47 % (3862743)Peak memory usage: 463 MB
% 39.80/20.47 % (3862743)Instructions burned: 139 (million)
% 39.80/20.47 % (3862753)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4205154701:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2833 on theBenchmark for (2833ds/157Mi)
% 39.80/20.47 % (3862752)Instruction limit reached!
% 39.80/20.47 % (3862752)------------------------------
% 39.80/20.47 % (3862752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.80/20.47 % (3862752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.80/20.47 % (3862752)CaDiCaL version: 2.1.3
% 39.80/20.47 % (3862752)Termination reason: Instruction limit
% 53.38/22.30 % (3862752)Termination phase: SInE selection
% 53.38/22.30 % (3862752)Time elapsed: 0.234 s
% 53.38/22.30 % (3862752)Peak memory usage: 463 MB
% 53.38/22.30 % (3862752)Instructions burned: 286 (million)
% 53.38/22.30 % (3862755)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3302700795:i=325:sd=1:ss=axioms:sgt=32_2833 on theBenchmark for (2833ds/325Mi)
% 53.38/22.30 % (3862756)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=644112198:s2a=on:i=248:s2at=1.23:gtg=position_2831 on theBenchmark for (2831ds/248Mi)
% 53.38/22.30 % (3862759)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1134647144:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2830 on theBenchmark for (2830ds/294Mi)
% 53.38/22.30 % (3862753)Instruction limit reached!
% 53.38/22.30 % (3862753)------------------------------
% 53.38/22.30 % (3862753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.38/22.30 % (3862753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.38/22.30 % (3862753)CaDiCaL version: 2.1.3
% 53.38/22.30 % (3862753)Termination reason: Instruction limit
% 53.38/22.30 % (3862753)Termination phase: Property scanning
% 53.38/22.30 % (3862753)Time elapsed: 0.300 s
% 53.38/22.30 % (3862753)Peak memory usage: 463 MB
% 53.38/22.30 % (3862753)Instructions burned: 161 (million)
% 53.38/22.30 % (3862759)Instruction limit reached!
% 53.38/22.30 % (3862759)------------------------------
% 53.38/22.30 % (3862759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.38/22.30 % (3862759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.38/22.30 % (3862759)CaDiCaL version: 2.1.3
% 53.38/22.30 % (3862759)Termination reason: Instruction limit
% 53.38/22.30 % (3862759)Termination phase: SInE selection
% 53.38/22.30 % (3862759)Time elapsed: 0.236 s
% 53.38/22.30 % (3862759)Peak memory usage: 463 MB
% 53.38/22.30 % (3862759)Instructions burned: 294 (million)
% 53.38/22.30 % (3862755)Instruction limit reached!
% 53.38/22.30 % (3862755)------------------------------
% 53.38/22.30 % (3862755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.38/22.30 % (3862755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.38/22.30 % (3862755)CaDiCaL version: 2.1.3
% 53.38/22.30 % (3862755)Termination reason: Instruction limit
% 53.38/22.30 % (3862755)Termination phase: SInE selection
% 53.38/22.30 % (3862755)Time elapsed: 0.415 s
% 53.38/22.30 % (3862755)Peak memory usage: 463 MB
% 53.38/22.30 % (3862755)Instructions burned: 325 (million)
% 53.38/22.30 % (3862756)Instruction limit reached!
% 53.38/22.30 % (3862756)------------------------------
% 53.38/22.30 % (3862756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.38/22.30 % (3862756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.38/22.30 % (3862756)CaDiCaL version: 2.1.3
% 53.38/22.30 % (3862756)Termination reason: Instruction limit
% 53.38/22.30 % (3862756)Termination phase: Property scanning
% 53.38/22.30 % (3862756)Time elapsed: 0.381 s
% 53.38/22.30 % (3862756)Peak memory usage: 463 MB
% 53.38/22.30 % (3862756)Instructions burned: 249 (million)
% 53.38/22.30 % (3862762)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1543180458:i=2350_2827 on theBenchmark for (2827ds/2350Mi)
% 53.38/22.30 % (3862764)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3706406970:i=127:av=off:fsr=off:sup=off_2826 on theBenchmark for (2826ds/127Mi)
% 53.38/22.30 % (3862763)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2478968213:cts=off:i=113:fsr=off:ss=included:sgt=4_2826 on theBenchmark for (2826ds/113Mi)
% 53.38/22.30 % (3862764)Instruction limit reached!
% 53.38/22.30 % (3862764)------------------------------
% 53.38/22.30 % (3862764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.38/22.30 % (3862764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.38/22.30 % (3862764)CaDiCaL version: 2.1.3
% 53.38/22.30 % (3862764)Termination reason: Instruction limit
% 53.38/22.30 % (3862764)Termination phase: Preprocessing 1
% 53.38/22.30 % (3862764)Time elapsed: 0.094 s
% 53.38/22.30 % (3862764)Peak memory usage: 463 MB
% 53.38/22.30 % (3862764)Instructions burned: 127 (million)
% 53.38/22.30 % (3862766)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3048499083:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2825 on theBenchmark for (2825ds/114Mi)
% 53.38/22.30 % (3862763)Instruction limit reached!
% 53.38/22.30 % (3862763)------------------------------
% 53.38/22.30 % (3862763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.29/30.72 % (3862763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.29/30.72 % (3862763)CaDiCaL version: 2.1.3
% 85.29/30.72 % (3862763)Termination reason: Instruction limit
% 85.29/30.72 % (3862763)Termination phase: SInE selection
% 85.29/30.72 % (3862763)Time elapsed: 0.141 s
% 85.29/30.72 % (3862763)Peak memory usage: 463 MB
% 85.29/30.72 % (3862763)Instructions burned: 113 (million)
% 85.29/30.72 % (3862769)lrs+10_1_sil=8000:sp=occurrence:random_seed=1472927556:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2823 on theBenchmark for (2823ds/907Mi)
% 85.29/30.72 % (3862766)Instruction limit reached!
% 85.29/30.72 % (3862766)------------------------------
% 85.29/30.72 % (3862766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.29/30.72 % (3862766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.29/30.72 % (3862766)CaDiCaL version: 2.1.3
% 85.29/30.72 % (3862766)Termination reason: Instruction limit
% 85.29/30.72 % (3862766)Termination phase: Property scanning
% 85.29/30.72 % (3862766)Time elapsed: 0.260 s
% 85.29/30.72 % (3862766)Peak memory usage: 463 MB
% 85.29/30.72 % (3862766)Instructions burned: 115 (million)
% 85.29/30.72 % (3862771)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2523630242:i=437:sd=1:aac=none:ss=included_2822 on theBenchmark for (2822ds/437Mi)
% 85.29/30.72 % (3862774)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2387582927:i=5202:ss=axioms:sgt=16_2819 on theBenchmark for (2819ds/5202Mi)
% 85.29/30.72 % (3862771)Instruction limit reached!
% 85.29/30.72 % (3862771)------------------------------
% 85.29/30.72 % (3862771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.29/30.72 % (3862771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.29/30.72 % (3862771)CaDiCaL version: 2.1.3
% 85.29/30.72 % (3862771)Termination reason: Instruction limit
% 85.29/30.72 % (3862771)Termination phase: SInE selection
% 85.29/30.72 % (3862771)Time elapsed: 0.542 s
% 85.29/30.72 % (3862771)Peak memory usage: 463 MB
% 85.29/30.72 % (3862771)Instructions burned: 437 (million)
% 85.29/30.72 % (3862769)Instruction limit reached!
% 85.29/30.72 % (3862769)------------------------------
% 85.29/30.72 % (3862769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.29/30.72 % (3862769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.29/30.72 % (3862769)CaDiCaL version: 2.1.3
% 85.29/30.72 % (3862769)Termination reason: Instruction limit
% 85.29/30.72 % (3862769)Termination phase: SInE selection
% 85.29/30.72 % (3862769)Time elapsed: 0.724 s
% 85.29/30.72 % (3862769)Peak memory usage: 475 MB
% 85.29/30.72 % (3862769)Instructions burned: 908 (million)
% 85.29/30.72 % (3862776)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1269535483:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2814 on theBenchmark for (2814ds/134Mi)
% 85.29/30.72 % (3862777)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=295415286:st=8:i=592:sd=3:ep=RST:ss=axioms_2813 on theBenchmark for (2813ds/592Mi)
% 85.29/30.72 % (3862776)Instruction limit reached!
% 85.29/30.72 % (3862776)------------------------------
% 85.29/30.72 % (3862776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.29/30.72 % (3862776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.29/30.72 % (3862776)CaDiCaL version: 2.1.3
% 85.29/30.72 % (3862776)Termination reason: Instruction limit
% 85.29/30.72 % (3862776)Termination phase: SInE selection
% 85.29/30.72 % (3862776)Time elapsed: 0.165 s
% 85.29/30.72 % (3862776)Peak memory usage: 463 MB
% 85.29/30.72 % (3862776)Instructions burned: 134 (million)
% 85.29/30.72 % (3862780)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=401058866:st=3:i=13193:sd=3:ss=axioms_2809 on theBenchmark for (2809ds/13193Mi)
% 85.29/30.72 % (3862777)Instruction limit reached!
% 85.29/30.72 % (3862777)------------------------------
% 85.29/30.72 % (3862777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.29/30.72 % (3862777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.29/30.72 % (3862777)CaDiCaL version: 2.1.3
% 85.29/30.72 % (3862777)Termination reason: Instruction limit
% 85.29/30.72 % (3862777)Termination phase: SInE selection
% 85.29/30.72 % (3862777)Time elapsed: 0.481 s
% 85.29/30.72 % (3862777)Peak memory usage: 469 MB
% 85.29/30.72 % (3862777)Instructions burned: 592 (million)
% 85.29/30.72 % (3862782)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2768063609:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2806 on theBenchmark for (2806ds/125Mi)
% 113.46/31.46 % (3862782)Instruction limit reached!
% 113.46/31.46 % (3862782)------------------------------
% 113.46/31.46 % (3862782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862782)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862782)Termination reason: Instruction limit
% 113.46/31.46 % (3862782)Termination phase: Property scanning
% 113.46/31.46 % (3862782)Time elapsed: 0.162 s
% 113.46/31.46 % (3862782)Peak memory usage: 463 MB
% 113.46/31.46 % (3862782)Instructions burned: 127 (million)
% 113.46/31.46 % (3862784)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=99959600:i=134:gtgl=5:slsql=off:gtg=exists_sym_2803 on theBenchmark for (2803ds/134Mi)
% 113.46/31.46 % (3862784)Instruction limit reached!
% 113.46/31.46 % (3862784)------------------------------
% 113.46/31.46 % (3862784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862784)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862784)Termination reason: Instruction limit
% 113.46/31.46 % (3862784)Termination phase: Property scanning
% 113.46/31.46 % (3862784)Time elapsed: 0.165 s
% 113.46/31.46 % (3862784)Peak memory usage: 463 MB
% 113.46/31.46 % (3862784)Instructions burned: 134 (million)
% 113.46/31.46 % (3862786)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4052482547:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2798 on theBenchmark for (2798ds/141Mi)
% 113.46/31.46 % (3862786)Instruction limit reached!
% 113.46/31.46 % (3862786)------------------------------
% 113.46/31.46 % (3862786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862786)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862786)Termination reason: Instruction limit
% 113.46/31.46 % (3862786)Termination phase: SInE selection
% 113.46/31.46 % (3862786)Time elapsed: 0.112 s
% 113.46/31.46 % (3862786)Peak memory usage: 463 MB
% 113.46/31.46 % (3862786)Instructions burned: 141 (million)
% 113.46/31.46 % (3862762)Instruction limit reached!
% 113.46/31.46 % (3862762)------------------------------
% 113.46/31.46 % (3862762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862762)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862762)Termination reason: Instruction limit
% 113.46/31.46 % (3862762)Termination phase: Unused predicate definition removal
% 113.46/31.46 % (3862762)Time elapsed: 3.114 s
% 113.46/31.46 % (3862762)Peak memory usage: 555 MB
% 113.46/31.46 % (3862762)Instructions burned: 2350 (million)
% 113.46/31.46 % (3862788)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2544655829:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2795 on theBenchmark for (2795ds/431Mi)
% 113.46/31.46 % (3862790)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1495337351:i=6060:aac=none:ins=25_2793 on theBenchmark for (2793ds/6060Mi)
% 113.46/31.46 % (3862788)Instruction limit reached!
% 113.46/31.46 % (3862788)------------------------------
% 113.46/31.46 % (3862788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862788)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862788)Termination reason: Instruction limit
% 113.46/31.46 % (3862788)Termination phase: SInE selection
% 113.46/31.46 % (3862788)Time elapsed: 0.335 s
% 113.46/31.46 % (3862788)Peak memory usage: 463 MB
% 113.46/31.46 % (3862788)Instructions burned: 431 (million)
% 113.46/31.46 % (3862792)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3361375429:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2789 on theBenchmark for (2789ds/150Mi)
% 113.46/31.46 % (3862792)Instruction limit reached!
% 113.46/31.46 % (3862792)------------------------------
% 113.46/31.46 % (3862792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862792)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862792)Termination reason: Instruction limit
% 113.46/31.46 % (3862792)Termination phase: SInE selection
% 113.46/31.46 % (3862792)Time elapsed: 0.117 s
% 113.46/31.46 % (3862792)Peak memory usage: 463 MB
% 113.46/31.46 % (3862792)Instructions burned: 153 (million)
% 113.46/31.46 % (3862794)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3035728426:i=14155:bd=all_2786 on theBenchmark for (2786ds/14155Mi)
% 113.46/31.46 % (3862774)Instruction limit reached!
% 113.46/31.46 % (3862774)------------------------------
% 113.46/31.46 % (3862774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862774)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862774)Termination reason: Instruction limit
% 113.46/31.46 % (3862774)Termination phase: Saturation
% 113.46/31.46 % (3862774)Time elapsed: 5.698 s
% 113.46/31.46 % (3862774)Peak memory usage: 711 MB
% 113.46/31.46 % (3862774)Instructions burned: 5202 (million)
% 113.46/31.46 % (3862796)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4100416993:i=667:av=off:fsr=off_2759 on theBenchmark for (2759ds/667Mi)
% 113.46/31.46 % (3862796)Instruction limit reached!
% 113.46/31.46 % (3862796)------------------------------
% 113.46/31.46 % (3862796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862796)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862796)Termination reason: Instruction limit
% 113.46/31.46 % (3862796)Termination phase: Preprocessing 1
% 113.46/31.46 % (3862796)Time elapsed: 0.910 s
% 113.46/31.46 % (3862796)Peak memory usage: 463 MB
% 113.46/31.46 % (3862796)Instructions burned: 667 (million)
% 113.46/31.46 % (3862798)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1250369593:s2a=on:i=185:s2at=1.8:fdi=4_2747 on theBenchmark for (2747ds/185Mi)
% 113.46/31.46 % (3862798)Instruction limit reached!
% 113.46/31.46 % (3862798)------------------------------
% 113.46/31.46 % (3862798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862798)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862798)Termination reason: Instruction limit
% 113.46/31.46 % (3862798)Termination phase: SInE selection
% 113.46/31.46 % (3862798)Time elapsed: 0.236 s
% 113.46/31.46 % (3862798)Peak memory usage: 463 MB
% 113.46/31.46 % (3862798)Instructions burned: 185 (million)
% 113.46/31.46 % (3862800)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1840638000:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2741 on theBenchmark for (2741ds/193Mi)
% 113.46/31.46 % (3862800)Instruction limit reached!
% 113.46/31.46 % (3862800)------------------------------
% 113.46/31.46 % (3862800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862800)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862800)Termination reason: Instruction limit
% 113.46/31.46 % (3862800)Termination phase: SInE selection
% 113.46/31.46 % (3862800)Time elapsed: 0.254 s
% 113.46/31.46 % (3862800)Peak memory usage: 463 MB
% 113.46/31.46 % (3862800)Instructions burned: 193 (million)
% 113.46/31.46 % (3862802)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1076632743:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2736 on theBenchmark for (2736ds/4850Mi)
% 113.46/31.46 % (3862790)Instruction limit reached!
% 113.46/31.46 % (3862790)------------------------------
% 113.46/31.46 % (3862790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862790)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862790)Termination reason: Instruction limit
% 113.46/31.46 % (3862790)Termination phase: Property scanning
% 113.46/31.46 % (3862790)Time elapsed: 7.543 s
% 113.46/31.46 % (3862790)Peak memory usage: 701 MB
% 113.46/31.46 % (3862790)Instructions burned: 6060 (million)
% 113.46/31.46 % (3862802)First to succeed.
% 113.46/31.46 % (3862802)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3862732"
% 113.46/31.46 % (3862804)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=52270356:i=12111:sd=1:ss=included_2714 on theBenchmark for (2714ds/12111Mi)
% 113.46/31.46 % (3862802)Refutation found. Thanks to Tanya!
% 113.46/31.46 % SZS status Theorem for theBenchmark
% 113.46/31.46 % SZS output start Proof for theBenchmark
% See solution above
% 113.46/31.46 % (3862802)------------------------------
% 113.46/31.46 % (3862802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/31.46 % (3862802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/31.46 % (3862802)CaDiCaL version: 2.1.3
% 113.46/31.46 % (3862802)Termination reason: Refutation
% 113.46/31.46 % (3862802)Time elapsed: 2.104 s
% 113.46/31.46 % (3862802)Peak memory usage: 536 MB
% 113.46/31.46 % (3862802)Instructions burned: 1522 (million)
% 113.46/31.46 % (3862802)------------------------------
% 113.46/31.46 % (3862802)------------------------------
% 113.46/31.46 % (3862732)Success in time 29.746 s
% 113.46/31.46 % Vampire exiting
%------------------------------------------------------------------------------