%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO366_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.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 : Tue Apr 30 18:19:21 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   4 unt;   2 typ;   0 def)
%            Number of atoms       :   81 (  10 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   46 (  17   ~;  14   |;   5   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :   31 (  31 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   5 usr;   6 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

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

tff(pred_def_1,type,
    cP: $o > $o ).

tff(f29,plain,
    $false,
    inference(avatar_sat_refutation,[],[f24,f25,f28]) ).

tff(f28,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f27]) ).

tff(f27,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f26,f15]) ).

tff(f15,plain,
    ~ cP($true),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ~ cP($true)
    & cP(bG0) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,plain,
    ~ ( cP(bG0)
     => cP($true) ),
    inference(fool_elimination,[],[f2,f5]) ).

tff(f5,plain,
    ( ( cA
     => cA )
  <=> ( $true = bG0 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).

tff(f2,negated_conjecture,
    ~ ( cP(( cA
         => cA ))
     => cP($true) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( cP(( cA
       => cA ))
   => cP($true) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIVEXT4) ).

tff(f26,plain,
    ( cP($true)
    | ~ spl1_2 ),
    inference(backward_demodulation,[],[f14,f23]) ).

tff(f23,plain,
    ( ( $true = bG0 )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f21]) ).

tff(f21,plain,
    ( spl1_2
  <=> ( $true = bG0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f14,plain,
    cP(bG0),
    inference(cnf_transformation,[],[f8]) ).

tff(f25,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f12,f21,f17]) ).

tff(f17,plain,
    ( spl1_1
  <=> cA ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f12,plain,
    ( ( $true = bG0 )
    | ~ cA ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ( ( cA
      | ~ cA
      | ( $true != bG0 ) )
    & ( ( $true = bG0 )
      | ( ~ cA
        & cA ) ) ),
    inference(flattening,[],[f9]) ).

tff(f9,plain,
    ( ( cA
      | ~ cA
      | ( $true != bG0 ) )
    & ( ( $true = bG0 )
      | ( ~ cA
        & cA ) ) ),
    inference(nnf_transformation,[],[f7]) ).

tff(f7,plain,
    ( ( cA
      | ~ cA )
  <=> ( $true = bG0 ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f24,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f11,f21,f17]) ).

tff(f11,plain,
    ( ( $true = bG0 )
    | cA ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO366_8 : TPTP v8.1.2. Released v8.0.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n018.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   : Tue Apr 30 00:54:43 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (5484)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (5487)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (5487)First to succeed.
% 0.15/0.38  % (5487)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (5487)------------------------------
% 0.15/0.38  % (5487)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (5487)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (5487)Memory used [KB]: 742
% 0.15/0.38  % (5487)Time elapsed: 0.003 s
% 0.15/0.38  % (5487)Instructions burned: 2 (million)
% 0.15/0.38  % (5487)------------------------------
% 0.15/0.38  % (5487)------------------------------
% 0.15/0.38  % (5484)Success in time 0.013 s
%------------------------------------------------------------------------------