TSTP Solution File: SYO013^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO013^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n017.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 09:02:13 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :   83 (  18 equ;   0 cnn)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :   41 (   7   ~;   0   |;  14   &;  16   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

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

thf(f14,plain,
    $false,
    inference(subsumption_resolution,[],[f13,f12]) ).

thf(f12,plain,
    ( $true
    = ( p @ $true ) ),
    inference(definition_unfolding,[],[f10,f8]) ).

thf(f8,plain,
    a = $true,
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( b = $true )
    & ( ( p @ a )
      = $true )
    & ( ( p @ b )
     != $true )
    & ( a = $true ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ( ( p @ b )
     != $true )
    & ( b = $true )
    & ( a = $true )
    & ( ( p @ a )
      = $true ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ( b = $true )
        & ( a = $true )
        & ( ( p @ a )
          = $true ) )
     => ( ( p @ b )
        = $true ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( a
        & ( p @ a )
        & b )
     => ( p @ b ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( a
        & ( p @ a )
        & b )
     => ( p @ b ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( a
      & ( p @ a )
      & b )
   => ( p @ b ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

thf(f10,plain,
    ( ( p @ a )
    = $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f13,plain,
    ( $true
   != ( p @ $true ) ),
    inference(definition_unfolding,[],[f9,f11]) ).

thf(f11,plain,
    b = $true,
    inference(cnf_transformation,[],[f7]) ).

thf(f9,plain,
    ( ( p @ b )
   != $true ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO013^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14  % 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
% 0.15/0.36  % Computer : n017.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   : Mon May 20 08:56:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36  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
% 0.15/0.38  % (7943)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)
% 0.15/0.38  % (7940)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 (3000ds/2Mi)
% 0.15/0.38  % (7942)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38  % (7943)First to succeed.
% 0.15/0.38  % (7936)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.38  % (7942)Also succeeded, but the first one will report.
% 0.15/0.38  % (7943)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  % (7943)------------------------------
% 0.15/0.38  % (7943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (7943)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (7943)Memory used [KB]: 5373
% 0.15/0.38  % (7943)Time elapsed: 0.003 s
% 0.15/0.38  % (7943)Instructions burned: 1 (million)
% 0.15/0.38  % (7943)------------------------------
% 0.15/0.38  % (7943)------------------------------
% 0.15/0.38  % (7935)Success in time 0.014 s
% 0.15/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------