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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR062+2 : 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 : n005.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 09:44:49 AM UTC 2026

% Result   : Theorem 0.33s 0.49s
% Output   : Refutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   46 (  14 unt;   2 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   71 (  33   ~;  27   |;   2   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   36 (   0 sgn  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_34) ).

fof(f61,axiom,
    ! [X0,X1] :
      ( tptptypes_8_390(X0,X1)
     => tptptypes_7_389(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_61) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
     => tptptypes_5_387(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_99) ).

fof(f254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_254) ).

fof(f302,axiom,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
     => tptptypes_6_388(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_302) ).

fof(f460,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_460) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(f1132,conjecture,
    ? [X0] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(X0,c_pushingwithfingers) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query112) ).

fof(f1133,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(X0,c_pushingwithfingers) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1254,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | ~ tptptypes_8_390(X0,X1) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f1271,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f1370,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(ennf_transformation,[],[f302]) ).

fof(f1442,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f460]) ).

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] :
      ( ~ tptptypes_5_387(X0,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2056,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f34]) ).

fof(f2083,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_390(X0,X1)
      | tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[],[f1254]) ).

fof(f2120,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[],[f1271]) ).

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

fof(f2322,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[],[f1370]) ).

fof(f2480,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(cnf_transformation,[],[f1442]) ).

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

fof(f3062,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3063,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3124,definition,
    ( spl0_14
  <=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f3126,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f3124]) ).

fof(f3128,definition,
    ( spl0_15
  <=> mtvisible(c_cyclistsmt) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f3130,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f3128]) ).

fof(f3131,plain,
    ( spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2480,f3128,f3124]) ).

fof(f4040,plain,
    ! [X0] : ~ tptptypes_6_388(X0,c_pushingwithfingers),
    inference(resolution,[],[f2120,f3063]) ).

fof(f4064,plain,
    ! [X0] : ~ tptptypes_7_389(c_pushingwithfingers,X0),
    inference(resolution,[],[f2322,f4040]) ).

fof(f4144,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_member3205_mt,X0) ),
    inference(resolution,[],[f3053,f3062]) ).

fof(f4170,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(c_tptp_member3205_mt,X0)
      | ~ genlmt(X0,X1) ),
    inference(resolution,[],[f4144,f3053]) ).

fof(f4305,plain,
    ( ! [X0] :
        ( ~ genlmt(c_tptp_member3205_mt,X0)
        | ~ genlmt(X0,c_cyclistsmt) )
    | spl0_15 ),
    inference(resolution,[],[f4170,f3130]) ).

fof(f4380,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | spl0_15 ),
    inference(resolution,[],[f4305,f2056]) ).

fof(f4381,plain,
    ( $false
    | spl0_15 ),
    inference(forward_subsumption_resolution,[],[f4380,f2275]) ).

fof(f4382,plain,
    spl0_15,
    inference(avatar_contradiction_clause,[],[f4381]) ).

fof(f4390,plain,
    ( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ spl0_14 ),
    inference(resolution,[],[f3126,f2083]) ).

fof(f4393,plain,
    ( $false
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f4390,f4064]) ).

fof(f4394,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f4393]) ).

cnf(s9,plain,
    ( spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f3131]) ).

cnf(s54,plain,
    spl0_15,
    inference(sat_conversion,[],[f4382]) ).

cnf(s55,plain,
    ~ spl0_14,
    inference(sat_conversion,[],[f4394]) ).

cnf(s65,plain,
    $false,
    inference(rat,[],[s9,s54,s55]) ).

fof(f4395,plain,
    $false,
    inference(avatar_sat_refutation,[],[s65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR062+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28  % Computer : n005.cluster.edu
% 0.24/0.28  % Model    : x86_64 x86_64
% 0.24/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.28  % Memory   : 8046.5625MB
% 0.24/0.28  % OS       : Linux 6.8.0-71-generic
% 0.24/0.28  % CPULimit : 300
% 0.24/0.28  % WCLimit  : 300
% 0.24/0.28  % DateTime : Mon Sep 28 22:22:16 UTC 2026
% 0.24/0.28  % CPUTime  : 
% 0.24/0.28  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.33  Running first-order model finding
% 0.24/0.33  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
% 0.33/0.49  % (1251466)Will run a generic schedule for satisfiability detection.
% 0.33/0.49  % (1251473)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=41657511:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.33/0.49  % (1251477)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=610017352:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.33/0.49  % (1251472)% WARNING: option uhcvi not known.
% 0.33/0.49  % (1251472)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3572416666:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.33/0.49  % (1251474)dis+10_1_sil=32000:sp=arity:random_seed=79076613:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.33/0.49  % (1251471)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2524562197_2999 on theBenchmark for (2999ds/0Mi)
% 0.33/0.49  % (1251475)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3455555321:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.33/0.49  % (1251476)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1142267451:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.33/0.49  % TRYING [1]
% 0.33/0.49  % TRYING [2]
% 0.33/0.49  % TRYING [3]
% 0.33/0.49  % (1251475) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1251466-1251475"...
% 0.33/0.49  % (1251475)...printing done.
% 0.33/0.49  % (1251475)Refutation found. Thanks to Tanya!
% 0.33/0.49  % SZS status Theorem for theBenchmark
% 0.33/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.33/0.49  % (1251475)------------------------------
% 0.33/0.49  % (1251475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.49  % (1251475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.49  % (1251475)CaDiCaL version: 2.1.3
% 0.33/0.49  % (1251475)Termination reason: Refutation
% 0.33/0.49  % (1251475)Time elapsed: 0.068 s
% 0.33/0.49  % (1251475)Peak memory usage: 16 MB
% 0.33/0.49  % (1251475)Instructions burned: 73 (million)
% 0.33/0.49  % (1251466)Success in time 0.14 s
% 0.33/0.49  % Vampire exiting
%------------------------------------------------------------------------------