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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR035+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 : n004.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 09:42:07 AM UTC 2026

% Result   : Theorem 77.59s 21.96s
% Output   : Refutation 77.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   6   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f134863,axiom,
    ( mtvisible(c_englishmt)
   => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_134887) ).

fof(f540250,conjecture,
    ? [X0] :
      ( mtvisible(c_englishmt)
     => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query235) ).

fof(f540251,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_englishmt)
       => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
    inference(negated_conjecture,[status(cth)],[f540250]) ).

fof(f540589,plain,
    ! [X0] :
      ( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0)
      & mtvisible(c_englishmt) ),
    inference(ennf_transformation,[],[f540251]) ).

fof(f540592,plain,
    ( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
    | ~ mtvisible(c_englishmt) ),
    inference(ennf_transformation,[],[f134863]) ).

fof(f540859,plain,
    mtvisible(c_englishmt),
    inference(cnf_transformation,[],[f540589]) ).

fof(f540860,plain,
    ! [X0] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0),
    inference(cnf_transformation,[],[f540589]) ).

fof(f540867,plain,
    ( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
    | ~ mtvisible(c_englishmt) ),
    inference(cnf_transformation,[],[f540592]) ).

fof(f541581,plain,
    ~ mtvisible(c_englishmt),
    inference(resolution,[],[f540860,f540867]) ).

fof(f541582,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f541581,f540859]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR035+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n004.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 22:12:57 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  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
% 30.62/14.86  % (845591)Detected formulas, will run a generic FOF schedule.
% 30.62/14.86  % (845596)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=1710776110:i=141193_2885 on theBenchmark for (2885ds/141193Mi)
% 30.62/14.86  % (845600)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3889056868:i=119:av=off:ss=axioms_2885 on theBenchmark for (2885ds/119Mi)
% 30.62/14.86  % (845599)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=171004488:i=109:sd=1:ins=1:gsp=on:ss=axioms_2885 on theBenchmark for (2885ds/109Mi)
% 30.62/14.86  % (845597)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=1759420113:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2885 on theBenchmark for (2885ds/134677Mi)
% 30.62/14.86  % (845598)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=4269004761:i=141695:sd=1:nm=32:gsp=on:ss=included_2885 on theBenchmark for (2885ds/141695Mi)
% 30.62/14.86  % (845600)Instruction limit reached! 
% 30.62/14.86  % (845600)------------------------------
% 30.62/14.86  % (845600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.62/14.86  % (845600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/14.86  % (845600)CaDiCaL version: 2.1.3
% 30.62/14.86  % (845600)Termination reason: Instruction limit
% 30.62/14.86  % (845600)Termination phase: SInE selection
% 30.62/14.86  % (845600)Time elapsed: 0.054 s
% 30.62/14.86  % (845600)Peak memory usage: 462 MB
% 30.62/14.86  % (845600)Instructions burned: 119 (million)
% 30.62/14.86  % (845601)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=121836864:s2a=on:i=139:gtg=position_2885 on theBenchmark for (2885ds/139Mi)
% 30.62/14.86  % (845602)dis-21_1_sil=8000:lcm=predicate:random_seed=765543954:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2885 on theBenchmark for (2885ds/129Mi)
% 30.62/14.86  % (845599)Instruction limit reached! 
% 30.62/14.86  % (845599)------------------------------
% 30.62/14.86  % (845599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.62/14.86  % (845599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/14.86  % (845599)CaDiCaL version: 2.1.3
% 30.62/14.86  % (845599)Termination reason: Instruction limit
% 30.62/14.86  % (845599)Termination phase: SInE selection
% 30.62/14.86  % (845599)Time elapsed: 0.080 s
% 30.62/14.86  % (845599)Peak memory usage: 462 MB
% 30.62/14.86  % (845599)Instructions burned: 109 (million)
% 30.62/14.86  % (845602)Instruction limit reached! 
% 30.62/14.86  % (845602)------------------------------
% 30.62/14.86  % (845602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.62/14.86  % (845602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/14.86  % (845602)CaDiCaL version: 2.1.3
% 30.62/14.86  % (845602)Termination reason: Instruction limit
% 30.62/14.86  % (845602)Termination phase: SInE selection
% 30.62/14.86  % (845602)Time elapsed: 0.100 s
% 30.62/14.86  % (845602)Peak memory usage: 462 MB
% 30.62/14.86  % (845602)Instructions burned: 129 (million)
% 30.62/14.86  % (845610)lrs+10_1_sil=8000:sp=occurrence:random_seed=3531914580:i=285:sd=3:ss=axioms:sgt=8_2883 on theBenchmark for (2883ds/285Mi)
% 30.62/14.86  % (845611)lrs+10_1_sil=32000:urr=on:br=off:random_seed=934452175:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2883 on theBenchmark for (2883ds/157Mi)
% 30.62/14.86  % (845601)Instruction limit reached! 
% 30.62/14.86  % (845601)------------------------------
% 30.62/14.86  % (845601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.62/14.86  % (845601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/14.86  % (845601)CaDiCaL version: 2.1.3
% 30.62/14.86  % (845601)Termination reason: Instruction limit
% 30.62/14.86  % (845601)Termination phase: Property scanning
% 30.62/14.86  % (845601)Time elapsed: 0.215 s
% 30.62/14.86  % (845601)Peak memory usage: 463 MB
% 30.62/14.86  % (845601)Instructions burned: 140 (million)
% 30.62/14.86  % (845610)Instruction limit reached! 
% 30.62/14.86  % (845610)------------------------------
% 30.62/14.86  % (845610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.62/14.86  % (845610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/14.86  % (845610)CaDiCaL version: 2.1.3
% 30.62/14.86  % (845610)Termination reason: Instruction limit
% 30.62/14.86  % (845610)Termination phase: SInE selection
% 35.45/15.55  % (845610)Time elapsed: 0.142 s
% 35.45/15.55  % (845610)Peak memory usage: 462 MB
% 35.45/15.55  % (845610)Instructions burned: 285 (million)
% 35.45/15.55  % (845612)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3419710449:i=325:sd=1:ss=axioms:sgt=32_2882 on theBenchmark for (2882ds/325Mi)
% 35.45/15.55  % (845611)Instruction limit reached! 
% 35.45/15.55  % (845611)------------------------------
% 35.45/15.55  % (845611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/15.55  % (845611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/15.55  % (845611)CaDiCaL version: 2.1.3
% 35.45/15.55  % (845611)Termination reason: Instruction limit
% 35.45/15.55  % (845611)Termination phase: Property scanning
% 35.45/15.55  % (845611)Time elapsed: 0.194 s
% 35.45/15.55  % (845611)Peak memory usage: 463 MB
% 35.45/15.55  % (845611)Instructions burned: 159 (million)
% 35.45/15.55  % (845615)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=2554943317:s2a=on:i=248:s2at=1.23:gtg=position_2880 on theBenchmark for (2880ds/248Mi)
% 35.45/15.55  % (845617)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1776245578:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2880 on theBenchmark for (2880ds/294Mi)
% 35.45/15.55  % (845617)Instruction limit reached! 
% 35.45/15.55  % (845617)------------------------------
% 35.45/15.55  % (845617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/15.55  % (845617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/15.55  % (845617)CaDiCaL version: 2.1.3
% 35.45/15.55  % (845617)Termination reason: Instruction limit
% 35.45/15.55  % (845617)Termination phase: SInE selection
% 35.45/15.55  % (845617)Time elapsed: 0.145 s
% 35.45/15.55  % (845617)Peak memory usage: 462 MB
% 35.45/15.55  % (845617)Instructions burned: 295 (million)
% 35.45/15.55  % (845612)Instruction limit reached! 
% 35.45/15.55  % (845612)------------------------------
% 35.45/15.55  % (845612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/15.55  % (845612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/15.55  % (845612)CaDiCaL version: 2.1.3
% 35.45/15.55  % (845612)Termination reason: Instruction limit
% 35.45/15.55  % (845612)Termination phase: SInE selection
% 35.45/15.55  % (845612)Time elapsed: 0.274 s
% 35.45/15.55  % (845612)Peak memory usage: 462 MB
% 35.45/15.55  % (845612)Instructions burned: 326 (million)
% 35.45/15.55  % (845620)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2980125045:i=2350_2879 on theBenchmark for (2879ds/2350Mi)
% 35.45/15.55  % (845615)Instruction limit reached! 
% 35.45/15.55  % (845615)------------------------------
% 35.45/15.55  % (845615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/15.55  % (845615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/15.55  % (845615)CaDiCaL version: 2.1.3
% 35.45/15.55  % (845615)Termination reason: Instruction limit
% 35.45/15.55  % (845615)Termination phase: Property scanning
% 35.45/15.55  % (845615)Time elapsed: 0.238 s
% 35.45/15.55  % (845615)Peak memory usage: 463 MB
% 35.45/15.55  % (845615)Instructions burned: 248 (million)
% 35.45/15.55  % (845622)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4062912674:cts=off:i=113:fsr=off:ss=included:sgt=4_2877 on theBenchmark for (2877ds/113Mi)
% 35.45/15.55  % (845622)Instruction limit reached! 
% 35.45/15.55  % (845622)------------------------------
% 35.45/15.55  % (845622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/15.55  % (845622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/15.55  % (845622)CaDiCaL version: 2.1.3
% 35.45/15.55  % (845622)Termination reason: Instruction limit
% 35.45/15.55  % (845622)Termination phase: SInE selection
% 35.45/15.55  % (845622)Time elapsed: 0.053 s
% 35.45/15.55  % (845622)Peak memory usage: 462 MB
% 35.45/15.55  % (845622)Instructions burned: 114 (million)
% 35.45/15.55  % (845623)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1451146660:i=127:av=off:fsr=off:sup=off_2877 on theBenchmark for (2877ds/127Mi)
% 35.45/15.55  % (845624)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=140920408:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2876 on theBenchmark for (2876ds/114Mi)
% 35.45/15.55  % (845623)Instruction limit reached! 
% 35.45/15.55  % (845623)------------------------------
% 35.45/15.55  % (845623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/15.55  % (845623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.25/17.45  % (845623)CaDiCaL version: 2.1.3
% 49.25/17.45  % (845623)Termination reason: Instruction limit
% 49.25/17.45  % (845623)Termination phase: Preprocessing 1
% 49.25/17.45  % (845623)Time elapsed: 0.105 s
% 49.25/17.45  % (845623)Peak memory usage: 463 MB
% 49.25/17.45  % (845623)Instructions burned: 127 (million)
% 49.25/17.45  % (845627)lrs+10_1_sil=8000:sp=occurrence:random_seed=1263976594:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2875 on theBenchmark for (2875ds/907Mi)
% 49.25/17.45  % (845624)Instruction limit reached! 
% 49.25/17.45  % (845624)------------------------------
% 49.25/17.45  % (845624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.25/17.45  % (845624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.25/17.45  % (845624)CaDiCaL version: 2.1.3
% 49.25/17.45  % (845624)Termination reason: Instruction limit
% 49.25/17.45  % (845624)Termination phase: Property scanning
% 49.25/17.45  % (845624)Time elapsed: 0.191 s
% 49.25/17.45  % (845624)Peak memory usage: 463 MB
% 49.25/17.45  % (845624)Instructions burned: 114 (million)
% 49.25/17.45  % (845630)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=290489253:i=437:sd=1:aac=none:ss=included_2874 on theBenchmark for (2874ds/437Mi)
% 49.25/17.45  % (845632)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1632279629:i=5202:ss=axioms:sgt=16_2872 on theBenchmark for (2872ds/5202Mi)
% 49.25/17.45  % (845627)Instruction limit reached! 
% 49.25/17.45  % (845627)------------------------------
% 49.25/17.45  % (845627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.25/17.45  % (845627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.25/17.45  % (845627)CaDiCaL version: 2.1.3
% 49.25/17.45  % (845627)Termination reason: Instruction limit
% 49.25/17.45  % (845627)Termination phase: SInE selection
% 49.25/17.45  % (845627)Time elapsed: 0.447 s
% 49.25/17.45  % (845627)Peak memory usage: 474 MB
% 49.25/17.45  % (845627)Instructions burned: 908 (million)
% 49.25/17.45  % (845630)Instruction limit reached! 
% 49.25/17.45  % (845630)------------------------------
% 49.25/17.45  % (845630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.25/17.45  % (845630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.25/17.45  % (845630)CaDiCaL version: 2.1.3
% 49.25/17.45  % (845630)Termination reason: Instruction limit
% 49.25/17.45  % (845630)Termination phase: SInE selection
% 49.25/17.45  % (845630)Time elapsed: 0.357 s
% 49.25/17.45  % (845630)Peak memory usage: 462 MB
% 49.25/17.45  % (845630)Instructions burned: 437 (million)
% 49.25/17.45  % (845634)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1885260955:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2869 on theBenchmark for (2869ds/134Mi)
% 49.25/17.45  % (845634)Instruction limit reached! 
% 49.25/17.45  % (845634)------------------------------
% 49.25/17.45  % (845634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.25/17.45  % (845634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.25/17.45  % (845634)CaDiCaL version: 2.1.3
% 49.25/17.45  % (845634)Termination reason: Instruction limit
% 49.25/17.45  % (845634)Termination phase: SInE selection
% 49.25/17.45  % (845634)Time elapsed: 0.063 s
% 49.25/17.45  % (845634)Peak memory usage: 462 MB
% 49.25/17.45  % (845634)Instructions burned: 136 (million)
% 49.25/17.45  % (845635)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1850141193:st=8:i=592:sd=3:ep=RST:ss=axioms_2868 on theBenchmark for (2868ds/592Mi)
% 49.25/17.45  % (845637)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2879926319:st=3:i=13193:sd=3:ss=axioms_2867 on theBenchmark for (2867ds/13193Mi)
% 49.25/17.45  % (845635)Instruction limit reached! 
% 49.25/17.45  % (845635)------------------------------
% 49.25/17.45  % (845635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.25/17.45  % (845635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.25/17.45  % (845635)CaDiCaL version: 2.1.3
% 49.25/17.45  % (845635)Termination reason: Instruction limit
% 49.25/17.45  % (845635)Termination phase: SInE selection
% 49.25/17.45  % (845635)Time elapsed: 0.466 s
% 49.25/17.45  % (845635)Peak memory usage: 469 MB
% 49.25/17.45  % (845635)Instructions burned: 593 (million)
% 49.25/17.45  % (845640)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=3848177066:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2861 on theBenchmark for (2861ds/125Mi)
% 49.25/17.45  % (845620)Instruction limit reached! 
% 49.25/17.45  % (845620)------------------------------
% 35.65/21.38  % (845620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.65/21.38  % (845620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/21.38  % (845620)CaDiCaL version: 2.1.3
% 35.65/21.38  % (845620)Termination reason: Instruction limit
% 35.65/21.38  % (845620)Termination phase: Unused predicate definition removal
% 35.65/21.38  % (845620)Time elapsed: 1.926 s
% 35.65/21.38  % (845620)Peak memory usage: 555 MB
% 35.65/21.38  % (845620)Instructions burned: 2351 (million)
% 35.65/21.38  % (845640)Instruction limit reached! 
% 35.65/21.38  % (845640)------------------------------
% 35.65/21.38  % (845640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.65/21.38  % (845640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/21.38  % (845640)CaDiCaL version: 2.1.3
% 35.65/21.38  % (845640)Termination reason: Instruction limit
% 35.65/21.38  % (845640)Termination phase: Property scanning
% 35.65/21.38  % (845640)Time elapsed: 0.182 s
% 35.65/21.38  % (845640)Peak memory usage: 463 MB
% 35.65/21.38  % (845640)Instructions burned: 127 (million)
% 35.65/21.38  % (845642)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1701145311:i=134:gtgl=5:slsql=off:gtg=exists_sym_2857 on theBenchmark for (2857ds/134Mi)
% 35.65/21.38  % (845643)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1421622224:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2857 on theBenchmark for (2857ds/141Mi)
% 35.65/21.38  % (845643)Instruction limit reached! 
% 35.65/21.38  % (845643)------------------------------
% 35.65/21.38  % (845643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.65/21.38  % (845643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/21.38  % (845643)CaDiCaL version: 2.1.3
% 35.65/21.38  % (845643)Termination reason: Instruction limit
% 35.65/21.38  % (845643)Termination phase: SInE selection
% 35.65/21.38  % (845643)Time elapsed: 0.112 s
% 35.65/21.38  % (845643)Peak memory usage: 462 MB
% 35.65/21.38  % (845643)Instructions burned: 141 (million)
% 35.65/21.38  % (845642)Instruction limit reached! 
% 35.65/21.38  % (845642)------------------------------
% 35.65/21.38  % (845642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.65/21.38  % (845642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/21.38  % (845642)CaDiCaL version: 2.1.3
% 35.65/21.38  % (845642)Termination reason: Instruction limit
% 35.65/21.38  % (845642)Termination phase: Property scanning
% 35.65/21.38  % (845642)Time elapsed: 0.183 s
% 35.65/21.38  % (845642)Peak memory usage: 463 MB
% 35.65/21.38  % (845642)Instructions burned: 135 (million)
% 35.65/21.38  % (845646)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4232892694:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2854 on theBenchmark for (2854ds/431Mi)
% 35.65/21.38  % (845647)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=4149365051:i=6060:aac=none:ins=25_2853 on theBenchmark for (2853ds/6060Mi)
% 35.65/21.38  [W928 22:13:12.048482238 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 35.65/21.38  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.65/21.38  [W928 22:13:12.048523565 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 35.65/21.38  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.65/21.38  [W928 22:13:12.048578096 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 35.65/21.38  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.65/21.38  [W928 22:13:12.048590569 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 35.65/21.38  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.65/21.38  [W928 22:13:12.048617899 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 77.59/21.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 77.59/21.96  [W928 22:13:12.048629383 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 77.59/21.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 77.59/21.96  [W928 22:13:12.048665250 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 77.59/21.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 77.59/21.96  [W928 22:13:12.048676293 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 77.59/21.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 77.59/21.96  [W928 22:13:12.048700833 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 77.59/21.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 77.59/21.96  [W928 22:13:12.048728560 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 77.59/21.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 77.59/21.96  [W928 22:13:12.048755577 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 77.59/21.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 77.59/21.96  [W928 22:13:12.048766427 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 77.59/21.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 77.59/21.96  % (845646)Instruction limit reached! 
% 77.59/21.96  % (845646)------------------------------
% 77.59/21.96  % (845646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.59/21.96  % (845646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.59/21.96  % (845646)CaDiCaL version: 2.1.3
% 77.59/21.96  % (845646)Termination reason: Instruction limit
% 77.59/21.96  % (845646)Termination phase: SInE selection
% 77.59/21.96  % (845646)Time elapsed: 0.341 s
% 77.59/21.96  % (845646)Peak memory usage: 462 MB
% 77.59/21.96  % (845646)Instructions burned: 432 (million)
% 77.59/21.96  % (845650)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=3330325427:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2848 on theBenchmark for (2848ds/150Mi)
% 77.59/21.96  % (845650)Instruction limit reached! 
% 77.59/21.96  % (845650)------------------------------
% 77.59/21.96  % (845650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.59/21.96  % (845650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.59/21.96  % (845650)CaDiCaL version: 2.1.3
% 77.59/21.96  % (845650)Termination reason: Instruction limit
% 77.59/21.96  % (845650)Termination phase: SInE selection
% 77.59/21.96  % (845650)Time elapsed: 0.119 s
% 77.59/21.96  % (845650)Peak memory usage: 462 MB
% 77.59/21.96  % (845650)Instructions burned: 151 (million)
% 77.59/21.96  % (845652)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2490952529:i=14155:bd=all_2845 on theBenchmark for (2845ds/14155Mi)
% 77.59/21.96  % (845632)Instruction limit reached! 
% 77.59/21.96  % (845632)------------------------------
% 77.59/21.96  % (845632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.59/21.96  % (845632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.59/21.96  % (845632)CaDiCaL version: 2.1.3
% 77.59/21.96  % (845632)Termination reason: Instruction limit
% 77.59/21.96  % (845632)Termination phase: Saturation
% 77.59/21.96  % (845632)Time elapsed: 3.831 s
% 77.59/21.96  % (845632)Peak memory usage: 708 MB
% 77.59/21.96  % (845632)Instructions burned: 5202 (million)
% 77.59/21.96  % (845654)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4241324582:i=667:av=off:fsr=off_2831 on theBenchmark for (2831ds/667Mi)
% 77.59/21.96  % (845654)Instruction limit reached! 
% 77.59/21.96  % (845654)------------------------------
% 77.59/21.96  % (845654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.59/21.96  % (845654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.59/21.96  % (845654)CaDiCaL version: 2.1.3
% 77.59/21.96  % (845654)Termination reason: Instruction limit
% 77.59/21.96  % (845654)Termination phase: Preprocessing 1
% 77.59/21.96  % (845654)Time elapsed: 0.544 s
% 77.59/21.96  % (845654)Peak memory usage: 463 MB
% 77.59/21.96  % (845654)Instructions burned: 667 (million)
% 77.59/21.96  % (845656)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=2674698875:s2a=on:i=185:s2at=1.8:fdi=4_2824 on theBenchmark for (2824ds/185Mi)
% 77.59/21.96  % (845656)Instruction limit reached! 
% 77.59/21.96  % (845656)------------------------------
% 77.59/21.96  % (845656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.59/21.96  % (845656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.59/21.96  % (845656)CaDiCaL version: 2.1.3
% 77.59/21.96  % (845656)Termination reason: Instruction limit
% 77.59/21.96  % (845656)Termination phase: SInE selection
% 77.59/21.96  % (845656)Time elapsed: 0.156 s
% 77.59/21.96  % (845656)Peak memory usage: 462 MB
% 77.59/21.96  % (845656)Instructions burned: 185 (million)
% 77.59/21.96  % (845658)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2811051497:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2820 on theBenchmark for (2820ds/193Mi)
% 77.59/21.96  % (845658)Instruction limit reached! 
% 77.59/21.96  % (845658)------------------------------
% 77.59/21.96  % (845658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.59/21.96  % (845658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.59/21.96  % (845658)CaDiCaL version: 2.1.3
% 77.59/21.96  % (845658)Termination reason: Instruction limit
% 77.59/21.96  % (845658)Termination phase: SInE selection
% 77.59/21.96  % (845658)Time elapsed: 0.158 s
% 77.59/21.96  % (845658)Peak memory usage: 462 MB
% 77.59/21.96  % (845658)Instructions burned: 194 (million)
% 77.59/21.96  % (845660)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=626199761:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2816 on theBenchmark for (2816ds/4850Mi)
% 77.59/21.96  % (845647)Instruction limit reached! 
% 77.59/21.96  % (845647)------------------------------
% 77.59/21.96  % (845647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.59/21.96  % (845647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.59/21.96  % (845647)CaDiCaL version: 2.1.3
% 77.59/21.96  % (845647)Termination reason: Instruction limit
% 77.59/21.96  % (845647)Termination phase: Property scanning
% 77.59/21.96  % (845647)Time elapsed: 4.901 s
% 77.59/21.96  % (845647)Peak memory usage: 701 MB
% 77.59/21.96  % (845647)Instructions burned: 6061 (million)
% 77.59/21.96  % (845662)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1841039691:i=12111:sd=1:ss=included_2802 on theBenchmark for (2802ds/12111Mi)
% 77.59/21.96  % (845660)First to succeed.
% 77.59/21.96  % (845660)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-845591"
% 77.59/21.96  % (845660)Refutation found. Thanks to Tanya!
% 77.59/21.96  % SZS status Theorem for theBenchmark
% 77.59/21.96  % SZS output start Proof for theBenchmark
% See solution above
% 77.59/21.96  % (845660)------------------------------
% 77.59/21.96  % (845660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.59/21.96  % (845660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.59/21.96  % (845660)CaDiCaL version: 2.1.3
% 77.59/21.96  % (845660)Termination reason: Refutation
% 77.59/21.96  % (845660)Time elapsed: 1.476 s
% 77.59/21.96  % (845660)Peak memory usage: 536 MB
% 77.59/21.96  % (845660)Instructions burned: 1584 (million)
% 77.59/21.96  % (845660)------------------------------
% 77.59/21.96  % (845660)------------------------------
% 77.59/21.96  % (845591)Success in time 20.704 s
% 77.59/21.96  % Vampire exiting
%------------------------------------------------------------------------------