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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR042+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 : n009.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 87.59s 31.05s
% Output   : Refutation 87.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   7   ~;   4   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   10 (   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9812,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_9812) ).

fof(f540023,axiom,
    ! [X0,X1] :
      ( borderson(X0,X1)
     => borderson(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_540068) ).

fof(f540250,conjecture,
    ? [X0] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(X0,c_georegion_l4_x27_y64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query242) ).

fof(f540251,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(X0,c_georegion_l4_x27_y64) ),
    inference(negated_conjecture,[status(cth)],[f540250]) ).

fof(f540458,plain,
    ! [X0] :
      ( ~ borderson(X0,c_georegion_l4_x27_y64)
      & mtvisible(c_tptpgeo_member7_mt) ),
    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_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f9812]) ).

fof(f540632,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[],[f540458]) ).

fof(f540633,plain,
    ! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
    inference(cnf_transformation,[],[f540458]) ).

fof(f540635,plain,
    ! [X0,X1] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(cnf_transformation,[],[f540459]) ).

fof(f540641,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[],[f540464]) ).

fof(f540997,plain,
    borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
    inference(resolution,[],[f540632,f540641]) ).

fof(f541004,plain,
    borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64),
    inference(resolution,[],[f540997,f540635]) ).

fof(f541005,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f541004,f540633]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR042+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.29  % Computer : n009.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8046.5625MB
% 0.09/0.29  % OS       : Linux 6.8.0-71-generic
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Mon Sep 28 22:15:45 UTC 2026
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.30/0.36  Running first-order theorem proving
% 0.30/0.36  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
% 40.92/24.13  % (3557540)Detected formulas, will run a generic FOF schedule.
% 40.92/24.13  % (3557546)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=742652288:i=141193_2799 on theBenchmark for (2799ds/141193Mi)
% 40.92/24.13  % (3557549)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2123034019:i=109:sd=1:ins=1:gsp=on:ss=axioms_2799 on theBenchmark for (2799ds/109Mi)
% 40.92/24.13  % (3557547)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=3615145477:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2799 on theBenchmark for (2799ds/134677Mi)
% 40.92/24.13  % (3557548)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=469358268:i=141695:sd=1:nm=32:gsp=on:ss=included_2799 on theBenchmark for (2799ds/141695Mi)
% 40.92/24.13  % (3557549)Instruction limit reached! 
% 40.92/24.13  % (3557549)------------------------------
% 40.92/24.13  % (3557549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.92/24.13  % (3557549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.92/24.13  % (3557549)CaDiCaL version: 2.1.3
% 40.92/24.13  % (3557549)Termination reason: Instruction limit
% 40.92/24.13  % (3557549)Termination phase: SInE selection
% 40.92/24.13  % (3557549)Time elapsed: 0.080 s
% 40.92/24.13  % (3557549)Peak memory usage: 462 MB
% 40.92/24.13  % (3557549)Instructions burned: 110 (million)
% 40.92/24.13  % (3557550)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2391258523:i=119:av=off:ss=axioms_2799 on theBenchmark for (2799ds/119Mi)
% 40.92/24.13  % (3557551)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=760338000:s2a=on:i=139:gtg=position_2799 on theBenchmark for (2799ds/139Mi)
% 40.92/24.13  % (3557552)dis-21_1_sil=8000:lcm=predicate:random_seed=3286253292:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2799 on theBenchmark for (2799ds/129Mi)
% 40.92/24.13  % (3557550)Instruction limit reached! 
% 40.92/24.13  % (3557550)------------------------------
% 40.92/24.13  % (3557550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.92/24.13  % (3557550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.92/24.13  % (3557550)CaDiCaL version: 2.1.3
% 40.92/24.13  % (3557550)Termination reason: Instruction limit
% 40.92/24.13  % (3557550)Termination phase: SInE selection
% 40.92/24.13  % (3557550)Time elapsed: 0.141 s
% 40.92/24.13  % (3557550)Peak memory usage: 462 MB
% 40.92/24.13  % (3557550)Instructions burned: 119 (million)
% 40.92/24.13  % (3557552)Instruction limit reached! 
% 40.92/24.13  % (3557552)------------------------------
% 40.92/24.13  % (3557552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.92/24.13  % (3557552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.92/24.13  % (3557552)CaDiCaL version: 2.1.3
% 40.92/24.13  % (3557552)Termination reason: Instruction limit
% 40.92/24.13  % (3557552)Termination phase: SInE selection
% 40.92/24.13  % (3557552)Time elapsed: 0.153 s
% 40.92/24.13  % (3557552)Peak memory usage: 462 MB
% 40.92/24.13  % (3557552)Instructions burned: 129 (million)
% 40.92/24.13  % (3557551)Instruction limit reached! 
% 40.92/24.13  % (3557551)------------------------------
% 40.92/24.13  % (3557551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.92/24.13  % (3557551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.92/24.13  % (3557551)CaDiCaL version: 2.1.3
% 40.92/24.13  % (3557551)Termination reason: Instruction limit
% 40.92/24.13  % (3557551)Termination phase: Property scanning
% 40.92/24.13  % (3557551)Time elapsed: 0.179 s
% 40.92/24.13  % (3557551)Peak memory usage: 463 MB
% 40.92/24.13  % (3557551)Instructions burned: 141 (million)
% 40.92/24.13  % (3557558)lrs+10_1_sil=8000:sp=occurrence:random_seed=523793913:i=285:sd=3:ss=axioms:sgt=8_2795 on theBenchmark for (2795ds/285Mi)
% 40.92/24.13  % (3557561)lrs+10_1_sil=32000:urr=on:br=off:random_seed=210705416:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2793 on theBenchmark for (2793ds/157Mi)
% 40.92/24.13  % (3557563)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=2528313858:s2a=on:i=248:s2at=1.23:gtg=position_2793 on theBenchmark for (2793ds/248Mi)
% 40.92/24.13  % (3557562)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3588457766:i=325:sd=1:ss=axioms:sgt=32_2793 on theBenchmark for (2793ds/325Mi)
% 40.92/24.13  % (3557558)Instruction limit reached! 
% 50.36/25.44  % (3557558)------------------------------
% 50.36/25.44  % (3557558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.36/25.44  % (3557558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/25.44  % (3557558)CaDiCaL version: 2.1.3
% 50.36/25.44  % (3557558)Termination reason: Instruction limit
% 50.36/25.44  % (3557558)Termination phase: SInE selection
% 50.36/25.44  % (3557558)Time elapsed: 0.354 s
% 50.36/25.44  % (3557558)Peak memory usage: 463 MB
% 50.36/25.44  % (3557558)Instructions burned: 285 (million)
% 50.36/25.44  % (3557563)Instruction limit reached! 
% 50.36/25.44  % (3557563)------------------------------
% 50.36/25.44  % (3557563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.36/25.44  % (3557563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/25.44  % (3557563)CaDiCaL version: 2.1.3
% 50.36/25.44  % (3557563)Termination reason: Instruction limit
% 50.36/25.44  % (3557563)Termination phase: Property scanning
% 50.36/25.44  % (3557563)Time elapsed: 0.221 s
% 50.36/25.44  % (3557563)Peak memory usage: 463 MB
% 50.36/25.44  % (3557563)Instructions burned: 250 (million)
% 50.36/25.44  % (3557561)Instruction limit reached! 
% 50.36/25.44  % (3557561)------------------------------
% 50.36/25.44  % (3557561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.36/25.44  % (3557561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/25.44  % (3557561)CaDiCaL version: 2.1.3
% 50.36/25.44  % (3557561)Termination reason: Instruction limit
% 50.36/25.44  % (3557561)Termination phase: Property scanning
% 50.36/25.44  % (3557561)Time elapsed: 0.294 s
% 50.36/25.44  % (3557561)Peak memory usage: 463 MB
% 50.36/25.44  % (3557561)Instructions burned: 158 (million)
% 50.36/25.44  % (3557562)Instruction limit reached! 
% 50.36/25.44  % (3557562)------------------------------
% 50.36/25.44  % (3557562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.36/25.44  % (3557562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/25.44  % (3557562)CaDiCaL version: 2.1.3
% 50.36/25.44  % (3557562)Termination reason: Instruction limit
% 50.36/25.44  % (3557562)Termination phase: SInE selection
% 50.36/25.44  % (3557562)Time elapsed: 0.404 s
% 50.36/25.44  % (3557562)Peak memory usage: 462 MB
% 50.36/25.44  % (3557562)Instructions burned: 326 (million)
% 50.36/25.44  % (3557569)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2660789728:i=2350_2788 on theBenchmark for (2788ds/2350Mi)
% 50.36/25.44  % (3557568)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=296319700:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2788 on theBenchmark for (2788ds/294Mi)
% 50.36/25.44  % (3557570)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3204023881:cts=off:i=113:fsr=off:ss=included:sgt=4_2787 on theBenchmark for (2787ds/113Mi)
% 50.36/25.44  % (3557570)Instruction limit reached! 
% 50.36/25.44  % (3557570)------------------------------
% 50.36/25.44  % (3557570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.36/25.44  % (3557570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/25.44  % (3557570)CaDiCaL version: 2.1.3
% 50.36/25.44  % (3557570)Termination reason: Instruction limit
% 50.36/25.44  % (3557570)Termination phase: SInE selection
% 50.36/25.44  % (3557570)Time elapsed: 0.133 s
% 50.36/25.44  % (3557570)Peak memory usage: 462 MB
% 50.36/25.44  % (3557570)Instructions burned: 113 (million)
% 50.36/25.44  % (3557571)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3649771833:i=127:av=off:fsr=off:sup=off_2786 on theBenchmark for (2786ds/127Mi)
% 50.36/25.44  % (3557568)Instruction limit reached! 
% 50.36/25.44  % (3557568)------------------------------
% 50.36/25.44  % (3557568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.36/25.44  % (3557568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/25.44  % (3557568)CaDiCaL version: 2.1.3
% 50.36/25.44  % (3557568)Termination reason: Instruction limit
% 50.36/25.44  % (3557568)Termination phase: SInE selection
% 50.36/25.44  % (3557568)Time elapsed: 0.370 s
% 50.36/25.44  % (3557568)Peak memory usage: 462 MB
% 50.36/25.44  % (3557568)Instructions burned: 294 (million)
% 50.36/25.44  % (3557571)Instruction limit reached! 
% 50.36/25.44  % (3557571)------------------------------
% 50.36/25.44  % (3557571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.36/25.44  % (3557571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/25.44  % (3557571)CaDiCaL version: 2.1.3
% 68.32/30.63  % (3557571)Termination reason: Instruction limit
% 68.32/30.63  % (3557571)Termination phase: Preprocessing 1
% 68.32/30.63  % (3557571)Time elapsed: 0.172 s
% 68.32/30.63  % (3557571)Peak memory usage: 463 MB
% 68.32/30.63  % (3557571)Instructions burned: 127 (million)
% 68.32/30.63  % (3557576)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=658046595:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2783 on theBenchmark for (2783ds/114Mi)
% 68.32/30.63  % (3557577)lrs+10_1_sil=8000:sp=occurrence:random_seed=1302925485:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2781 on theBenchmark for (2781ds/907Mi)
% 68.32/30.63  % (3557578)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=151511918:i=437:sd=1:aac=none:ss=included_2780 on theBenchmark for (2780ds/437Mi)
% 68.32/30.63  % (3557576)Instruction limit reached! 
% 68.32/30.63  % (3557576)------------------------------
% 68.32/30.63  % (3557576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.32/30.63  % (3557576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.32/30.63  % (3557576)CaDiCaL version: 2.1.3
% 68.32/30.63  % (3557576)Termination reason: Instruction limit
% 68.32/30.63  % (3557576)Termination phase: Property scanning
% 68.32/30.63  % (3557576)Time elapsed: 0.201 s
% 68.32/30.63  % (3557576)Peak memory usage: 463 MB
% 68.32/30.63  % (3557576)Instructions burned: 114 (million)
% 68.32/30.63  % (3557585)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=599330127:i=5202:ss=axioms:sgt=16_2777 on theBenchmark for (2777ds/5202Mi)
% 68.32/30.63  % (3557578)Instruction limit reached! 
% 68.32/30.63  % (3557578)------------------------------
% 68.32/30.63  % (3557578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.32/30.63  % (3557578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.32/30.63  % (3557578)CaDiCaL version: 2.1.3
% 68.32/30.63  % (3557578)Termination reason: Instruction limit
% 68.32/30.63  % (3557578)Termination phase: SInE selection
% 68.32/30.63  % (3557578)Time elapsed: 0.351 s
% 68.32/30.63  % (3557578)Peak memory usage: 462 MB
% 68.32/30.63  % (3557578)Instructions burned: 438 (million)
% 68.32/30.63  % (3557682)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2120083518:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2774 on theBenchmark for (2774ds/134Mi)
% 68.32/30.63  % (3557682)Instruction limit reached! 
% 68.32/30.63  % (3557682)------------------------------
% 68.32/30.63  % (3557682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.32/30.63  % (3557682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.32/30.63  % (3557682)CaDiCaL version: 2.1.3
% 68.32/30.63  % (3557682)Termination reason: Instruction limit
% 68.32/30.63  % (3557682)Termination phase: SInE selection
% 68.32/30.63  % (3557682)Time elapsed: 0.111 s
% 68.32/30.63  % (3557682)Peak memory usage: 463 MB
% 68.32/30.63  % (3557682)Instructions burned: 134 (million)
% 68.32/30.63  % (3557569)Instruction limit reached! 
% 68.32/30.63  % (3557569)------------------------------
% 68.32/30.63  % (3557569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.32/30.63  % (3557569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.32/30.63  % (3557569)CaDiCaL version: 2.1.3
% 68.32/30.63  % (3557569)Termination reason: Instruction limit
% 68.32/30.63  % (3557569)Termination phase: Unused predicate definition removal
% 68.32/30.63  % (3557569)Time elapsed: 1.416 s
% 68.32/30.63  % (3557569)Peak memory usage: 555 MB
% 68.32/30.63  % (3557569)Instructions burned: 2350 (million)
% 68.32/30.63  % (3557577)Instruction limit reached! 
% 68.32/30.63  % (3557577)------------------------------
% 68.32/30.63  % (3557577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.32/30.63  % (3557577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.32/30.63  % (3557577)CaDiCaL version: 2.1.3
% 68.32/30.63  % (3557577)Termination reason: Instruction limit
% 68.32/30.63  % (3557577)Termination phase: SInE selection
% 68.32/30.63  % (3557577)Time elapsed: 0.741 s
% 68.32/30.63  % (3557577)Peak memory usage: 475 MB
% 68.32/30.63  % (3557577)Instructions burned: 907 (million)
% 68.32/30.63  % (3557739)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=371692883:st=8:i=592:sd=3:ep=RST:ss=axioms_2772 on theBenchmark for (2772ds/592Mi)
% 68.32/30.63  % (3557741)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=578421203:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2771 on theBenchmark for (2771ds/125Mi)
% 68.32/30.63  % (3557740)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2591077231:st=3:i=13193:sd=3:ss=axioms_2771 on theBenchmark for (2771ds/13193Mi)
% 87.59/31.05  % (3557741)Instruction limit reached! 
% 87.59/31.05  % (3557741)------------------------------
% 87.59/31.05  % (3557741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557741)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557741)Termination reason: Instruction limit
% 87.59/31.05  % (3557741)Termination phase: Property scanning
% 87.59/31.05  % (3557741)Time elapsed: 0.112 s
% 87.59/31.05  % (3557741)Peak memory usage: 463 MB
% 87.59/31.05  % (3557741)Instructions burned: 126 (million)
% 87.59/31.05  % (3557745)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=708800853:i=134:gtgl=5:slsql=off:gtg=exists_sym_2768 on theBenchmark for (2768ds/134Mi)
% 87.59/31.05  % (3557745)Instruction limit reached! 
% 87.59/31.05  % (3557745)------------------------------
% 87.59/31.05  % (3557745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557745)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557745)Termination reason: Instruction limit
% 87.59/31.05  % (3557745)Termination phase: Property scanning
% 87.59/31.05  % (3557745)Time elapsed: 0.116 s
% 87.59/31.05  % (3557745)Peak memory usage: 463 MB
% 87.59/31.05  % (3557745)Instructions burned: 137 (million)
% 87.59/31.05  % (3557739)Instruction limit reached! 
% 87.59/31.05  % (3557739)------------------------------
% 87.59/31.05  % (3557739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557739)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557739)Termination reason: Instruction limit
% 87.59/31.05  % (3557739)Termination phase: SInE selection
% 87.59/31.05  % (3557739)Time elapsed: 0.476 s
% 87.59/31.05  % (3557739)Peak memory usage: 469 MB
% 87.59/31.05  % (3557739)Instructions burned: 592 (million)
% 87.59/31.05  % (3557747)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2568185598:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2765 on theBenchmark for (2765ds/141Mi)
% 87.59/31.05  % (3557748)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=340368507:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2765 on theBenchmark for (2765ds/431Mi)
% 87.59/31.05  % (3557747)Instruction limit reached! 
% 87.59/31.05  % (3557747)------------------------------
% 87.59/31.05  % (3557747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557747)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557747)Termination reason: Instruction limit
% 87.59/31.05  % (3557747)Termination phase: SInE selection
% 87.59/31.05  % (3557747)Time elapsed: 0.070 s
% 87.59/31.05  % (3557747)Peak memory usage: 462 MB
% 87.59/31.05  % (3557747)Instructions burned: 141 (million)
% 87.59/31.05  % (3557751)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=3725520923:i=6060:aac=none:ins=25_2763 on theBenchmark for (2763ds/6060Mi)
% 87.59/31.05  % (3557748)Instruction limit reached! 
% 87.59/31.05  % (3557748)------------------------------
% 87.59/31.05  % (3557748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557748)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557748)Termination reason: Instruction limit
% 87.59/31.05  % (3557748)Termination phase: SInE selection
% 87.59/31.05  % (3557748)Time elapsed: 0.349 s
% 87.59/31.05  % (3557748)Peak memory usage: 462 MB
% 87.59/31.05  % (3557748)Instructions burned: 432 (million)
% 87.59/31.05  % (3557753)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=906282896:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2759 on theBenchmark for (2759ds/150Mi)
% 87.59/31.05  % (3557753)Instruction limit reached! 
% 87.59/31.05  % (3557753)------------------------------
% 87.59/31.05  % (3557753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557753)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557753)Termination reason: Instruction limit
% 87.59/31.05  % (3557753)Termination phase: SInE selection
% 87.59/31.05  % (3557753)Time elapsed: 0.123 s
% 87.59/31.05  % (3557753)Peak memory usage: 463 MB
% 87.59/31.05  % (3557753)Instructions burned: 150 (million)
% 87.59/31.05  % (3557755)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3196624243:i=14155:bd=all_2756 on theBenchmark for (2756ds/14155Mi)
% 87.59/31.05  % (3557585)Instruction limit reached! 
% 87.59/31.05  % (3557585)------------------------------
% 87.59/31.05  % (3557585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557585)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557585)Termination reason: Instruction limit
% 87.59/31.05  % (3557585)Termination phase: Saturation
% 87.59/31.05  % (3557585)Time elapsed: 3.626 s
% 87.59/31.05  % (3557585)Peak memory usage: 708 MB
% 87.59/31.05  % (3557585)Instructions burned: 5203 (million)
% 87.59/31.05  % (3557757)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1813602550:i=667:av=off:fsr=off_2739 on theBenchmark for (2739ds/667Mi)
% 87.59/31.05  % (3557757)Instruction limit reached! 
% 87.59/31.05  % (3557757)------------------------------
% 87.59/31.05  % (3557757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557757)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557757)Termination reason: Instruction limit
% 87.59/31.05  % (3557757)Termination phase: Preprocessing 1
% 87.59/31.05  % (3557757)Time elapsed: 0.556 s
% 87.59/31.05  % (3557757)Peak memory usage: 463 MB
% 87.59/31.05  % (3557757)Instructions burned: 667 (million)
% 87.59/31.05  % (3557751)Instruction limit reached! 
% 87.59/31.05  % (3557751)------------------------------
% 87.59/31.05  % (3557751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557751)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557751)Termination reason: Instruction limit
% 87.59/31.05  % (3557751)Termination phase: Property scanning
% 87.59/31.05  % (3557751)Time elapsed: 3.200 s
% 87.59/31.05  % (3557751)Peak memory usage: 701 MB
% 87.59/31.05  % (3557751)Instructions burned: 6063 (million)
% 87.59/31.05  % (3557759)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=223745526:s2a=on:i=185:s2at=1.8:fdi=4_2731 on theBenchmark for (2731ds/185Mi)
% 87.59/31.05  % (3557759)Instruction limit reached! 
% 87.59/31.05  % (3557759)------------------------------
% 87.59/31.05  % (3557759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557759)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557759)Termination reason: Instruction limit
% 87.59/31.05  % (3557759)Termination phase: SInE selection
% 87.59/31.05  % (3557759)Time elapsed: 0.158 s
% 87.59/31.05  % (3557759)Peak memory usage: 462 MB
% 87.59/31.05  % (3557759)Instructions burned: 186 (million)
% 87.59/31.05  % (3557761)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3522363776:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2729 on theBenchmark for (2729ds/193Mi)
% 87.59/31.05  % (3557761)Instruction limit reached! 
% 87.59/31.05  % (3557761)------------------------------
% 87.59/31.05  % (3557761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557761)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557761)Termination reason: Instruction limit
% 87.59/31.05  % (3557761)Termination phase: SInE selection
% 87.59/31.05  % (3557761)Time elapsed: 0.102 s
% 87.59/31.05  % (3557761)Peak memory usage: 462 MB
% 87.59/31.05  % (3557761)Instructions burned: 193 (million)
% 87.59/31.05  % (3557763)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2163157088:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2727 on theBenchmark for (2727ds/4850Mi)
% 87.59/31.05  % (3557764)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2769772181:i=12111:sd=1:ss=included_2726 on theBenchmark for (2726ds/12111Mi)
% 87.59/31.05  % (3557763)First to succeed.
% 87.59/31.05  % (3557763)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3557540"
% 87.59/31.05  % (3557763)Refutation found. Thanks to Tanya!
% 87.59/31.05  % SZS status Theorem for theBenchmark
% 87.59/31.05  % SZS output start Proof for theBenchmark
% See solution above
% 87.59/31.05  % (3557763)------------------------------
% 87.59/31.05  % (3557763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.59/31.05  % (3557763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.59/31.05  % (3557763)CaDiCaL version: 2.1.3
% 87.59/31.05  % (3557763)Termination reason: Refutation
% 87.59/31.05  % (3557763)Time elapsed: 1.386 s
% 87.59/31.05  % (3557763)Peak memory usage: 536 MB
% 87.59/31.05  % (3557763)Instructions burned: 1521 (million)
% 87.59/31.05  % (3557763)------------------------------
% 87.59/31.05  % (3557763)------------------------------
% 87.59/31.05  % (3557540)Success in time 29.511 s
% 87.59/31.05  % Vampire exiting
%------------------------------------------------------------------------------