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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR056+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 09:44:44 AM UTC 2026

% Result   : Theorem 0.20s 0.33s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   56 (  14 unt;   4 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  103 (  47   ~;  43   |;   3   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   23 (   0 sgn  21   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,axiom,
    ( mtvisible(c_cyclistsmt)
   => artsupplies(c_tptpartsupplies) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_40) ).

fof(f202,axiom,
    ! [X0] :
      ( ( mtvisible(c_tptp_spindleheadmt)
        & supplies(X0) )
     => tptpofobject(X0,f_tptpquantityfn_14(n_232)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_202) ).

fof(f238,axiom,
    ! [X0] :
      ( artsupplies(X0)
     => supplies(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_238) ).

fof(f254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).

fof(f279,axiom,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_279) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(f1132,conjecture,
    ? [X0] :
      ( mtvisible(c_tptp_member3717_mt)
     => tptpofobject(c_tptpartsupplies,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query106) ).

fof(f1133,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptp_member3717_mt)
       => tptpofobject(c_tptpartsupplies,X0) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1245,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f1324,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
      | ~ mtvisible(c_tptp_spindleheadmt)
      | ~ supplies(X0) ),
    inference(ennf_transformation,[],[f202]) ).

fof(f1325,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
      | ~ mtvisible(c_tptp_spindleheadmt)
      | ~ supplies(X0) ),
    inference(flattening,[],[f1324]) ).

fof(f1341,plain,
    ! [X0] :
      ( supplies(X0)
      | ~ artsupplies(X0) ),
    inference(ennf_transformation,[],[f238]) ).

fof(f2012,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f1123]) ).

fof(f2013,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f2012]) ).

fof(f2022,plain,
    ! [X0] :
      ( ~ tptpofobject(c_tptpartsupplies,X0)
      & mtvisible(c_tptp_member3717_mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2062,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f1245]) ).

fof(f2223,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
      | ~ mtvisible(c_tptp_spindleheadmt)
      | ~ supplies(X0) ),
    inference(cnf_transformation,[],[f1325]) ).

fof(f2259,plain,
    ! [X0] :
      ( ~ artsupplies(X0)
      | supplies(X0) ),
    inference(cnf_transformation,[],[f1341]) ).

fof(f2275,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f254]) ).

fof(f2300,plain,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f279]) ).

fof(f3053,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | mtvisible(X1)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f2013]) ).

fof(f3062,plain,
    mtvisible(c_tptp_member3717_mt),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3063,plain,
    ! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3124,definition,
    ( spl0_14
  <=> mtvisible(c_cyclistsmt) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f3126,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f3124]) ).

fof(f3142,definition,
    ( spl0_18
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f3143,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f3142]) ).

fof(f3144,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f3142]) ).

fof(f3263,definition,
    ( spl0_44
  <=> ! [X0] :
        ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
        | ~ supplies(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f3264,plain,
    ( ! [X0] :
        ( ~ supplies(X0)
        | tptpofobject(X0,f_tptpquantityfn_14(n_232)) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f3263]) ).

fof(f3265,plain,
    ( ~ spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f2223,f3263,f3142]) ).

fof(f3386,definition,
    ( spl0_71
  <=> artsupplies(c_tptpartsupplies) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f3388,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f3386]) ).

fof(f3389,plain,
    ( ~ spl0_14
    | spl0_71 ),
    inference(avatar_split_clause,[],[f2062,f3386,f3124]) ).

fof(f4500,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_member3717_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f3053,f3062]) ).

fof(f4502,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[],[f4500,f2300]) ).

fof(f4503,plain,
    ( $false
    | spl0_18 ),
    inference(forward_subsumption_resolution,[],[f4502,f3144]) ).

fof(f4504,plain,
    spl0_18,
    inference(avatar_contradiction_clause,[],[f4503]) ).

fof(f4505,plain,
    ( ! [X0] :
        ( ~ genlmt(c_tptp_spindleheadmt,X0)
        | mtvisible(X0) )
    | ~ spl0_18 ),
    inference(resolution,[],[f3143,f3053]) ).

fof(f6505,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ spl0_18 ),
    inference(resolution,[],[f4505,f2275]) ).

fof(f6506,plain,
    ( $false
    | spl0_14
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f6505,f3126]) ).

fof(f6507,plain,
    ( spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f6506]) ).

fof(f6511,plain,
    ( supplies(c_tptpartsupplies)
    | ~ spl0_71 ),
    inference(resolution,[],[f3388,f2259]) ).

fof(f6513,plain,
    ( tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
    | ~ spl0_44
    | ~ spl0_71 ),
    inference(resolution,[],[f6511,f3264]) ).

fof(f6515,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_71 ),
    inference(forward_subsumption_resolution,[],[f6513,f3063]) ).

fof(f6516,plain,
    ( ~ spl0_44
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f6515]) ).

cnf(s31,plain,
    ( ~ spl0_18
    | spl0_44 ),
    inference(sat_conversion,[],[f3265]) ).

cnf(s51,plain,
    ( ~ spl0_14
    | spl0_71 ),
    inference(sat_conversion,[],[f3389]) ).

cnf(s54,plain,
    spl0_18,
    inference(sat_conversion,[],[f4504]) ).

cnf(s55,plain,
    ( spl0_14
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f6507]) ).

cnf(s56,plain,
    ( ~ spl0_44
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f6516]) ).

cnf(s57,plain,
    spl0_14,
    inference(rat,[],[s55,s54]) ).

cnf(s59,plain,
    spl0_71,
    inference(rat,[],[s51,s57]) ).

cnf(s60,plain,
    ~ spl0_44,
    inference(rat,[],[s56,s59]) ).

cnf(s66,plain,
    $false,
    inference(rat,[],[s31,s60,s54]) ).

fof(f6517,plain,
    $false,
    inference(avatar_sat_refutation,[],[s66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR056+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17  % Computer : n015.cluster.edu
% 0.07/0.17  % Model    : x86_64 x86_64
% 0.07/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17  % Memory   : 8046.5625MB
% 0.07/0.17  % OS       : Linux 6.8.0-71-generic
% 0.07/0.17  % CPULimit : 300
% 0.07/0.17  % WCLimit  : 300
% 0.07/0.17  % DateTime : Mon Sep 28 22:24:17 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.33  % (3098300)Will run a generic schedule for satisfiability detection.
% 0.20/0.33  % (3098315)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3417207579_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.33  % (3098316)% WARNING: option uhcvi not known.
% 0.20/0.33  % (3098319)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1041663559:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.33  % (3098316)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3130400430:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.33  % (3098321)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3198939348:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.33  % (3098320)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4143395296:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.33  % (3098318)dis+10_1_sil=32000:sp=arity:random_seed=3993830495:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.33  % (3098317)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=473782363:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.33  % TRYING [1]
% 0.20/0.33  % TRYING [2]
% 0.20/0.33  % TRYING [3]
% 0.20/0.33  % TRYING [4]
% 0.20/0.33  % TRYING [5]
% 0.20/0.33  % (3098320) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3098300-3098320"...
% 0.20/0.33  % (3098316) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3098300-3098316"...
% 0.20/0.33  % (3098318) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3098300-3098318"...
% 0.20/0.33  % (3098320)...printing done.
% 0.20/0.33  % (3098316)...printing done.
% 0.20/0.33  % (3098320)Refutation found. Thanks to Tanya!
% 0.20/0.33  % SZS status Theorem for theBenchmark
% 0.20/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33  % (3098320)------------------------------
% 0.20/0.33  % (3098320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (3098320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (3098320)CaDiCaL version: 2.1.3
% 0.20/0.33  % (3098320)Termination reason: Refutation
% 0.20/0.33  % (3098320)Time elapsed: 0.050 s
% 0.20/0.33  % (3098320)Peak memory usage: 16 MB
% 0.20/0.33  % (3098320)Instructions burned: 92 (million)
% 0.20/0.33  % (3098300)Success in time 0.112 s
% 0.20/0.33  % Vampire exiting
%------------------------------------------------------------------------------