TSTP Solution File: SYO549^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO549^1 : 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 : 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 : Tue May 21 09:06:11 EDT 2024

% Result   : Theorem 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  10 unt;   3 typ;   0 def)
%            Number of atoms       :   61 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :   67 (  27   ~;   0   |;   0   &;  40   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (  12   ^   0   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    p: ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_1,type,
    f: $o > $o ).

thf(func_def_2,type,
    g: $o > $o ).

thf(f16,plain,
    $false,
    inference(subsumption_resolution,[],[f13,f15]) ).

thf(f15,plain,
    ( ( p @ f @ g )
    = $true ),
    inference(beta_eta_normalization,[],[f14]) ).

thf(f14,plain,
    ( $true
    = ( p
      @ ^ [Y0: $o] : ( f @ Y0 )
      @ g ) ),
    inference(boolean_simplification,[],[f11]) ).

thf(f11,plain,
    ( ( p
      @ ^ [Y0: $o] :
          ( f
          @ ~ ~ Y0 )
      @ g )
    = $true ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ( ( p
      @ ^ [Y0: $o] :
          ( f
          @ ~ ~ Y0 )
      @ g )
    = $true ),
    inference(fool_elimination,[],[f7]) ).

thf(f7,plain,
    ( p
    @ ^ [X0: $o] :
        ( f
        @ ~ ~ X0 )
    @ g ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( p
    @ ^ [X0: $o] :
        ( f
        @ ~ ~ X0 )
    @ g ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pfg) ).

thf(f13,plain,
    ( ( p @ f @ g )
   != $true ),
    inference(beta_eta_normalization,[],[f12]) ).

thf(f12,plain,
    ( ( p @ f
      @ ^ [Y0: $o] : ( g @ Y0 ) )
   != $true ),
    inference(boolean_simplification,[],[f10]) ).

thf(f10,plain,
    ( $true
   != ( p @ f
      @ ^ [Y0: $o] :
          ( g
          @ ~ ~ Y0 ) ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f9,plain,
    ( $true
   != ( p @ f
      @ ^ [Y0: $o] :
          ( g
          @ ~ ~ Y0 ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( $true
   != ( p @ f
      @ ^ [Y0: $o] :
          ( g
          @ ~ ~ Y0 ) ) ),
    inference(fool_elimination,[],[f5]) ).

thf(f5,plain,
    ~ ( p @ f
      @ ^ [X0: $o] :
          ( g
          @ ~ ~ X0 ) ),
    inference(rectify,[],[f3]) ).

thf(f3,negated_conjecture,
    ~ ( p @ f
      @ ^ [X0: $o] :
          ( g
          @ ~ ~ X0 ) ),
    inference(negated_conjecture,[],[f2]) ).

thf(f2,conjecture,
    ( p @ f
    @ ^ [X0: $o] :
        ( g
        @ ~ ~ X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pfgc) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYO549^1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13  % 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
% 0.14/0.34  % Computer : n009.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
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 08:36:53 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35  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
% 0.21/0.37  % (9992)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.38  % (9992)First to succeed.
% 0.21/0.38  % (9986)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.38  % (9988)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38  % (9987)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.21/0.38  % (9990)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.38  % (9989)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38  % (9991)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38  % (9992)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Theorem for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (9992)------------------------------
% 0.21/0.38  % (9992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (9992)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (9992)Memory used [KB]: 5373
% 0.21/0.38  % (9992)Time elapsed: 0.004 s
% 0.21/0.38  % (9992)Instructions burned: 1 (million)
% 0.21/0.38  % (9992)------------------------------
% 0.21/0.38  % (9992)------------------------------
% 0.21/0.38  % (9984)Success in time 0.014 s
% 0.21/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------