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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR059+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 09:44:47 AM UTC 2026

% Result   : Theorem 0.32s 1.04s
% Output   : Refutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   37 (  14 unt;   2 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   51 (  23   ~;  19   |;   2   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   19 (   0 sgn  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f489,axiom,
    ( mtvisible(c_tptpgeo_member5_mt)
   => borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_489) ).

fof(f2388,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2388) ).

fof(f7642,axiom,
    ! [X0,X1] :
      ( borderson(X0,X1)
     => borderson(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7642) ).

fof(f7997,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).

fof(f8006,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query159) ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8905,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(ennf_transformation,[],[f489]) ).

fof(f13140,plain,
    ! [X0,X1] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(ennf_transformation,[],[f7642]) ).

fof(f13390,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f7997]) ).

fof(f13391,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f13390]) ).

fof(f13400,plain,
    ( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
    & mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(ennf_transformation,[],[f8007]) ).

fof(f13880,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(cnf_transformation,[],[f8905]) ).

fof(f15745,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnf_transformation,[],[f2388]) ).

fof(f20431,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[],[f13140]) ).

fof(f20678,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f13391]) ).

fof(f20687,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[],[f13400]) ).

fof(f20688,plain,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnf_transformation,[],[f13400]) ).

fof(f21086,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | ~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(consistent_polarity_flipping,[],[f13880]) ).

fof(f22630,plain,
    ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(consistent_polarity_flipping,[],[f15745]) ).

fof(f26772,plain,
    ! [X0,X1] :
      ( ~ borderson(X1,X0)
      | borderson(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f20431]) ).

fof(f26993,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(consistent_polarity_flipping,[],[f20678]) ).

fof(f27001,plain,
    borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(consistent_polarity_flipping,[],[f20688]) ).

fof(f28735,definition,
    ( spl0_373
  <=> mtvisible(c_tptpgeo_member5_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).

fof(f28737,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | spl0_373 ),
    inference(avatar_component_clause,[],[f28735]) ).

fof(f29645,definition,
    ( spl0_567
  <=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    introduced(definition,[new_symbols(definition,[spl0_567])],[avatar_definition]) ).

fof(f30422,plain,
    ( ~ spl0_567
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f21086,f28735,f29645]) ).

fof(f34407,plain,
    borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
    inference(resolution,[],[f26772,f27001]) ).

fof(f34409,plain,
    spl0_567,
    inference(avatar_split_clause,[],[f34407,f29645]) ).

fof(f35211,plain,
    ! [X0] :
      ( genlmt(c_tptpgeo_spindlecollectormt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f26993,f20687]) ).

fof(f35230,plain,
    mtvisible(c_tptpgeo_member5_mt),
    inference(resolution,[],[f35211,f22630]) ).

fof(f35235,plain,
    ( $false
    | spl0_373 ),
    inference(forward_subsumption_resolution,[],[f35230,f28737]) ).

fof(f35236,plain,
    spl0_373,
    inference(avatar_contradiction_clause,[],[f35235]) ).

cnf(s640,plain,
    ( ~ spl0_373
    | ~ spl0_567 ),
    inference(sat_conversion,[],[f30422]) ).

cnf(s716,plain,
    spl0_567,
    inference(sat_conversion,[],[f34409]) ).

cnf(s718,plain,
    spl0_373,
    inference(sat_conversion,[],[f35236]) ).

cnf(s737,plain,
    $false,
    inference(rat,[],[s640,s716,s718]) ).

fof(f35249,plain,
    $false,
    inference(avatar_sat_refutation,[],[s737]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR059+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29  % Computer : n003.cluster.edu
% 0.24/0.29  % Model    : x86_64 x86_64
% 0.24/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.29  % Memory   : 8046.5625MB
% 0.24/0.29  % OS       : Linux 6.8.0-71-generic
% 0.24/0.29  % CPULimit : 300
% 0.24/0.29  % WCLimit  : 300
% 0.24/0.29  % DateTime : Mon Sep 28 22:23:13 UTC 2026
% 0.24/0.29  % CPUTime  : 
% 0.24/0.29  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.34  Running first-order model finding
% 0.24/0.34  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.26/1.04  % (2098993)Will run a generic schedule for satisfiability detection.
% 1.26/1.04  % (2098999)% WARNING: option uhcvi not known.
% 1.26/1.04  % (2098998)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=644866763_2997 on theBenchmark for (2997ds/0Mi)
% 1.26/1.04  % (2098999)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1537905883:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 1.26/1.04  % (2099001)dis+10_1_sil=32000:sp=arity:random_seed=2963425229:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 1.26/1.04  % (2099000)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3919498386:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 1.26/1.04  % (2099003)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2635137884:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 1.26/1.04  % (2099002)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2086004647:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 1.26/1.04  % (2099004)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3696186107:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 1.26/1.04  % (2099001)Instruction limit reached! 
% 1.26/1.04  % (2099001)------------------------------
% 1.26/1.04  % (2099001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/1.04  % (2099001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/1.04  % (2099001)CaDiCaL version: 2.1.3
% 1.26/1.04  % (2099001)Termination reason: Instruction limit
% 1.26/1.04  % (2099001)Termination phase: Saturation
% 1.26/1.04  % (2099001)Time elapsed: 0.104 s
% 1.26/1.04  % (2099001)Peak memory usage: 22 MB
% 1.26/1.04  % (2099001)Instructions burned: 103 (million)
% 1.26/1.04  % (2099012)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2409094180:i=714:nm=2_2996 on theBenchmark for (2996ds/714Mi)
% 1.26/1.04  % (2099003)Instruction limit reached! 
% 1.26/1.04  % (2099003)------------------------------
% 1.26/1.04  % (2099003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/1.04  % (2099003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/1.04  % (2099003)CaDiCaL version: 2.1.3
% 1.26/1.04  % (2099003)Termination reason: Instruction limit
% 1.26/1.04  % (2099003)Termination phase: Saturation
% 1.26/1.04  % (2099003)Time elapsed: 0.136 s
% 1.26/1.04  % (2099003)Peak memory usage: 23 MB
% 1.26/1.04  % (2099003)Instructions burned: 132 (million)
% 1.26/1.04  % (2099002)Instruction limit reached! 
% 1.26/1.04  % (2099002)------------------------------
% 1.26/1.04  % (2099002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/1.04  % (2099002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/1.04  % (2099002)CaDiCaL version: 2.1.3
% 1.26/1.04  % (2099002)Termination reason: Instruction limit
% 1.26/1.04  % (2099002)Termination phase: Blocked clause elimination
% 1.26/1.04  % (2099002)Time elapsed: 0.139 s
% 1.26/1.04  % (2099002)Peak memory usage: 24 MB
% 1.26/1.04  % (2099002)Instructions burned: 116 (million)
% 1.26/1.04  % (2099014)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3319048927:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 1.26/1.04  % (2099004)Instruction limit reached! 
% 1.26/1.04  % (2099004)------------------------------
% 1.26/1.04  % (2099004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/1.04  % (2099004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/1.04  % (2099004)CaDiCaL version: 2.1.3
% 1.26/1.04  % (2099004)Termination reason: Instruction limit
% 1.26/1.04  % (2099004)Termination phase: Saturation
% 1.26/1.04  % (2099004)Time elapsed: 0.169 s
% 1.26/1.04  % (2099004)Peak memory usage: 25 MB
% 1.26/1.04  % (2099004)Instructions burned: 159 (million)
% 1.26/1.04  % (2099015)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=478383411:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 1.26/1.04  % (2099017)ott-21_1_sil=16000:fs=off:random_seed=10999299:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 1.26/1.04  % TRYING [1]
% 1.26/1.04  % TRYING [2]
% 1.26/1.04  % TRYING [3]
% 1.26/1.04  % (2099014)Instruction limit reached! 
% 1.26/1.04  % (2099014)------------------------------
% 1.26/1.04  % (2099014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/1.04  % (2099014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/1.04  % (2099014)CaDiCaL version: 2.1.3
% 0.32/1.04  % (2099014)Termination reason: Instruction limit
% 0.32/1.04  % (2099014)Termination phase: Blocked clause elimination
% 0.32/1.04  % (2099014)Time elapsed: 0.148 s
% 0.32/1.04  % (2099014)Peak memory usage: 23 MB
% 0.32/1.04  % (2099014)Instructions burned: 132 (million)
% 0.32/1.04  % (2099017)Instruction limit reached! 
% 0.32/1.04  % (2099017)------------------------------
% 0.32/1.04  % (2099017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/1.04  % (2099017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/1.04  % (2099017)CaDiCaL version: 2.1.3
% 0.32/1.04  % (2099017)Termination reason: Instruction limit
% 0.32/1.04  % (2099017)Termination phase: Saturation
% 0.32/1.04  % (2099017)Time elapsed: 0.142 s
% 0.32/1.04  % (2099017)Peak memory usage: 24 MB
% 0.32/1.04  % (2099017)Instructions burned: 181 (million)
% 0.32/1.04  % (2098999) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2098993-2098999"...
% 0.32/1.04  % (2098999)...printing done.
% 0.32/1.04  % (2098999)Refutation found. Thanks to Tanya!
% 0.32/1.04  % SZS status Theorem for theBenchmark
% 0.32/1.04  % SZS output start Proof for theBenchmark
% See solution above
% 0.32/1.04  % (2098999)------------------------------
% 0.32/1.04  % (2098999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/1.04  % (2098999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/1.04  % (2098999)CaDiCaL version: 2.1.3
% 0.32/1.04  % (2098999)Termination reason: Refutation
% 0.32/1.04  % (2098999)Time elapsed: 0.371 s
% 0.32/1.04  % (2098999)Peak memory usage: 32 MB
% 0.32/1.04  % (2098999)Instructions burned: 378 (million)
% 0.32/1.04  % (2098993)Success in time 0.664 s
% 0.32/1.04  % Vampire exiting
%------------------------------------------------------------------------------