TSTP Solution File: SEV383^5 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV383^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n023.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 : Mon Jun 24 16:03:39 EDT 2024

% Result   : Theorem 0.23s 0.39s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :   17 (   9   ~;   0   |;   0   &;   8   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   1   ^   2   !;   5   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_5,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f15,plain,
    $false,
    inference(trivial_inequality_removal,[],[f14]) ).

thf(f14,plain,
    $true = $false,
    inference(beta_eta_normalization,[],[f10]) ).

thf(f10,plain,
    ( $true
    = ( ^ [Y0: $i] : $false
      @ a ) ),
    inference(primitive_instantiation,[],[f8]) ).

thf(f8,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ a )
      = $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ a )
      = $true ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ? [X0: $i > $o] :
        ( ( X0 @ a )
       != $true ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ~ ? [X0: $i > $o] :
        ( ( X0 @ a )
       != $true ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ? [X0: $i > $o] :
        ~ ( X0 @ a ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ? [X0: $i > $o] :
        ~ ( X0 @ a ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ? [X0: $i > $o] :
      ~ ( X0 @ a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEV383^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Jun 21 19:29:09 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.37  This is a TH0_THM_NEQ_NAR problem
% 0.13/0.37  Running higher-order theorem proving
% 0.13/0.37  Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.23/0.39  % (14955)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)
% 0.23/0.39  % (14956)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)
% 0.23/0.39  % (14957)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.39  % (14958)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)
% 0.23/0.39  % (14954)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.39  % (14959)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)
% 0.23/0.39  % (14960)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.39  % (14956)Refutation not found, incomplete strategy
% 0.23/0.39  % (14956)------------------------------
% 0.23/0.39  % (14956)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.39  % (14959)First to succeed.
% 0.23/0.39  % (14956)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.39  
% 0.23/0.39  
% 0.23/0.39  % (14956)Memory used [KB]: 5373
% 0.23/0.39  % (14956)Time elapsed: 0.004 s
% 0.23/0.39  % (14956)Instructions burned: 1 (million)
% 0.23/0.39  % (14956)------------------------------
% 0.23/0.39  % (14956)------------------------------
% 0.23/0.39  % (14954)Also succeeded, but the first one will report.
% 0.23/0.39  % (14955)Also succeeded, but the first one will report.
% 0.23/0.39  % (14959)Refutation found. Thanks to Tanya!
% 0.23/0.39  % SZS status Theorem for theBenchmark
% 0.23/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.39  % (14959)------------------------------
% 0.23/0.39  % (14959)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.39  % (14959)Termination reason: Refutation
% 0.23/0.39  
% 0.23/0.39  % (14959)Memory used [KB]: 5373
% 0.23/0.39  % (14959)Time elapsed: 0.004 s
% 0.23/0.39  % (14959)Instructions burned: 1 (million)
% 0.23/0.39  % (14959)------------------------------
% 0.23/0.39  % (14959)------------------------------
% 0.23/0.39  % (14953)Success in time 0.008 s
%------------------------------------------------------------------------------