%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO125^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 May 21 09:10:22 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   61 (  14 equ)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :   28 (   7   ~;   0   |;   8   &)
%                                         (   9 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :   28 (  28 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    cR: $o ).

tff(func_def_1,type,
    cP: $o ).

tff(func_def_2,type,
    cQ: $o ).

tff(f14,plain,
    $false,
    inference(trivial_inequality_removal,[],[f13]) ).

tff(f13,plain,
    cR != cR,
    inference(definition_unfolding,[],[f11,f12]) ).

tff(f12,plain,
    cP = cR,
    inference(definition_unfolding,[],[f9,f10]) ).

tff(f10,plain,
    cQ = cR,
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ( cP != cR )
    & ( cQ = cR )
    & ( cP = cQ ) ),
    inference(flattening,[],[f7]) ).

tff(f7,plain,
    ( ( cP != cR )
    & ( cQ = cR )
    & ( cP = cQ ) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,plain,
    ~ ( ( ( cQ = cR )
        & ( cP = cQ ) )
     => ( cP = cR ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ( ( ( cQ
        <=> cR )
        & ( cP
        <=> cQ ) )
     => ( cP
      <=> cR ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ( cQ
        <=> cR )
        & ( cP
        <=> cQ ) )
     => ( cP
      <=> cR ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( ( cQ
      <=> cR )
      & ( cP
      <=> cQ ) )
   => ( cP
    <=> cR ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIV4) ).

tff(f9,plain,
    cP = cQ,
    inference(cnf_transformation,[],[f8]) ).

tff(f11,plain,
    cP != cR,
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO125^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 08:56:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (29368)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (29371)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)
% 0.14/0.36  % (29371)First to succeed.
% 0.14/0.36  % (29371)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29368"
% 0.14/0.36  % (29371)Refutation found. Thanks to Tanya!
% 0.14/0.36  % SZS status Theorem for theBenchmark
% 0.14/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36  % (29371)------------------------------
% 0.14/0.36  % (29371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (29371)Termination reason: Refutation
% 0.14/0.36  
% 0.14/0.36  % (29371)Memory used [KB]: 725
% 0.14/0.36  % (29371)Time elapsed: 0.001 s
% 0.14/0.36  % (29371)Instructions burned: 2 (million)
% 0.14/0.36  % (29368)Success in time 0.01 s
%------------------------------------------------------------------------------