TSTP Solution File: SYO349_8 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO349_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 05:01:35 EDT 2023

% Result   : Theorem 0.23s 0.44s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   39 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :  117 (  18 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   60 (  25   ~;  20   |;   3   &)
%                                         (  10 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   50 (  46 fml;   4 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  13 usr;  14 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    2 (;   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_2,type,
    bG0: $o ).

tff(func_def_3,type,
    bG1: $o ).

tff(pred_def_2,type,
    cP: $o > $o ).

tff(f59,plain,
    $false,
    inference(avatar_sat_refutation,[],[f27,f36,f40,f45,f50,f55,f56,f57,f58]) ).

tff(f58,plain,
    ( ( $true != bG0 )
    | ( $true != bG1 )
    | cP(bG1)
    | ~ cP(bG0) ),
    introduced(theory_tautology_sat_conflict,[]) ).

tff(f57,plain,
    spl2_3,
    inference(avatar_split_clause,[],[f15,f29]) ).

tff(f29,plain,
    ( spl2_3
  <=> cA ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

tff(f15,plain,
    cA,
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ( ~ cP(bG1)
    & cP(bG0)
    & cB
    & cA ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ( cP(bG1)
      | ~ cP(bG0)
      | ~ cB
      | ~ cA ),
    inference(fool_elimination,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( cP(cB)
      | ~ cP(cA)
      | ~ cB
      | ~ cA ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( cP(cB)
    | ~ cP(cA)
    | ~ cB
    | ~ cA ),
    file('/export/starexec/sandbox2/tmp/tmp.uHLR8osV0I/Vampire---4.8_16679',cTHM617) ).

tff(f56,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f16,f20]) ).

tff(f20,plain,
    ( spl2_1
  <=> cB ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f16,plain,
    cB,
    inference(cnf_transformation,[],[f12]) ).

tff(f55,plain,
    spl2_8,
    inference(avatar_split_clause,[],[f17,f52]) ).

tff(f52,plain,
    ( spl2_8
  <=> cP(bG0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

tff(f17,plain,
    cP(bG0),
    inference(cnf_transformation,[],[f12]) ).

tff(f50,plain,
    ~ spl2_7,
    inference(avatar_split_clause,[],[f18,f47]) ).

tff(f47,plain,
    ( spl2_7
  <=> cP(bG1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

tff(f18,plain,
    ~ cP(bG1),
    inference(cnf_transformation,[],[f12]) ).

tff(f45,plain,
    ~ spl2_6,
    inference(avatar_split_clause,[],[f3,f42]) ).

tff(f42,plain,
    ( spl2_6
  <=> ( $true = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

tff(f3,plain,
    $true != $false,
    introduced(fool_axiom,[]) ).

tff(f40,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f4,f38]) ).

tff(f38,plain,
    ( spl2_5
  <=> ! [X0: $o] :
        ( ( $true = (X0) )
        | ( $false = (X0) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

tff(f4,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
      | ( $false = (X0) ) ),
    introduced(fool_axiom,[]) ).

tff(f36,plain,
    ( ~ spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f14,f33,f29]) ).

tff(f33,plain,
    ( spl2_4
  <=> ( $true = bG0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

tff(f14,plain,
    ( ( $true = bG0 )
    | ~ cA ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ( ( $true = bG0 )
    | ~ cA ),
    inference(ennf_transformation,[],[f8]) ).

tff(f8,plain,
    ( cA
   => ( $true = bG0 ) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

tff(f5,plain,
    ( cA
  <=> ( $true = bG0 ) ),
    inference(fool_elimination,[],[f2]) ).

tff(f27,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f13,f24,f20]) ).

tff(f24,plain,
    ( spl2_2
  <=> ( $true = bG1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f13,plain,
    ( ( $true = bG1 )
    | ~ cB ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ( ( $true = bG1 )
    | ~ cB ),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,plain,
    ( cB
   => ( $true = bG1 ) ),
    inference(unused_predicate_definition_removal,[],[f6]) ).

tff(f6,plain,
    ( cB
  <=> ( $true = bG1 ) ),
    inference(fool_elimination,[],[f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYO349_8 : TPTP v8.1.2. Released v8.0.0.
% 0.08/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 05:12:36 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TX0_THM_NEQ_NAR problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.uHLR8osV0I/Vampire---4.8_16679
% 0.15/0.37  % (16881)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (16886)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43  % (16887)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.43  % (16885)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.43  % (16888)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.43  % (16882)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43  % (16883)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.23/0.43  % (16884)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.43  % (16882)First to succeed.
% 0.23/0.43  % (16886)Also succeeded, but the first one will report.
% 0.23/0.44  % (16883)Also succeeded, but the first one will report.
% 0.23/0.44  % (16882)Refutation found. Thanks to Tanya!
% 0.23/0.44  % SZS status Theorem for Vampire---4
% 0.23/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44  % (16882)------------------------------
% 0.23/0.44  % (16882)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44  % (16882)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44  % (16882)Termination reason: Refutation
% 0.23/0.44  
% 0.23/0.44  % (16882)Memory used [KB]: 5373
% 0.23/0.44  % (16882)Time elapsed: 0.004 s
% 0.23/0.44  % (16882)------------------------------
% 0.23/0.44  % (16882)------------------------------
% 0.23/0.44  % (16881)Success in time 0.063 s
% 0.23/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------