%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO526^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 09:06:05 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  16 unt;   2 typ;   0 def)
%            Number of atoms       :   50 (  15 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :    7 (   5   ~;   0   |;   0   &;   0   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   ^   0   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_2,type,
    f: $i > $o ).

thf(func_def_3,type,
    g: $i > $o ).

thf(f19,plain,
    $false,
    inference(trivial_inequality_removal,[],[f18]) ).

thf(f18,plain,
    ( ( ^ [Y0: $i] : b )
   != ( ^ [Y0: $i] : b ) ),
    inference(definition_unfolding,[],[f14,f17]) ).

thf(f17,plain,
    ( g
    = ( ^ [Y0: $i] : b ) ),
    inference(definition_unfolding,[],[f12,f16]) ).

thf(f16,plain,
    ( f
    = ( ^ [Y0: $i] : b ) ),
    inference(definition_unfolding,[],[f13,f15]) ).

thf(f15,plain,
    a = b,
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    a = b,
    inference(fool_elimination,[],[f7]) ).

thf(f7,plain,
    ( b
  <=> a ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( b
  <=> a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab) ).

thf(f13,plain,
    ( f
    = ( ^ [Y0: $i] : a ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( f
    = ( ^ [Y0: $i] : a ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f3,axiom,
    ( ( ^ [X0: $i] : a )
    = f ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fa) ).

thf(f12,plain,
    f = g,
    inference(cnf_transformation,[],[f2]) ).

thf(f2,axiom,
    f = g,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fg) ).

thf(f14,plain,
    ( g
   != ( ^ [Y0: $i] : b ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f11,plain,
    ( g
   != ( ^ [Y0: $i] : b ) ),
    inference(flattening,[],[f9]) ).

thf(f9,plain,
    ( g
   != ( ^ [Y0: $i] : b ) ),
    inference(fool_elimination,[],[f5]) ).

thf(f5,negated_conjecture,
    ( ( ^ [X0: $i] : b )
   != g ),
    inference(negated_conjecture,[],[f4]) ).

thf(f4,conjecture,
    ( ( ^ [X0: $i] : b )
    = g ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gb) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO526^1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 09:28:52 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % (17410)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.36  % (17410)First to succeed.
% 0.13/0.36  % (17411)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.37  % (17410)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (17410)------------------------------
% 0.13/0.37  % (17410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (17410)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (17410)Memory used [KB]: 5373
% 0.13/0.37  % (17410)Time elapsed: 0.002 s
% 0.13/0.37  % (17410)Instructions burned: 1 (million)
% 0.13/0.37  % (17410)------------------------------
% 0.13/0.37  % (17410)------------------------------
% 0.13/0.37  % (17403)Success in time 0.013 s
% 0.13/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------