TSTP Solution File: SYO132^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO132^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n028.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 09:03:04 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :  126 (  27 equ;   0 cnn)
%            Maximal formula atoms :    9 (   9 avg)
%            Number of connectives :   70 (  12   ~;   4   |;  18   &;  32   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_1,type,
    cS: $i > $o ).

thf(func_def_2,type,
    cT: $i > $o ).

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

thf(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f14]) ).

thf(f14,plain,
    ( ( cP @ cT )
   != $true ),
    inference(subsumption_resolution,[],[f13,f8]) ).

thf(f8,plain,
    ( ( cT @ cX )
    = $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( cS = cT )
    & ( ( cP @ cS )
      = $true )
    & ( ( ( cS @ cX )
       != $true )
      | ( ( cP @ cT )
       != $true ) )
    & ( ( cT @ cX )
      = $true ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ( ( ( cS @ cX )
       != $true )
      | ( ( cP @ cT )
       != $true ) )
    & ( cS = cT )
    & ( ( cP @ cS )
      = $true )
    & ( ( cT @ cX )
      = $true ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ( cS = cT )
        & ( ( cP @ cS )
          = $true )
        & ( ( cT @ cX )
          = $true ) )
     => ( ( ( cP @ cT )
          = $true )
        & ( ( cS @ cX )
          = $true ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ( cS = cT )
        & ( cT @ cX )
        & ( cP @ cS ) )
     => ( ( cP @ cT )
        & ( cS @ cX ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ( cS = cT )
        & ( cT @ cX )
        & ( cP @ cS ) )
     => ( ( cP @ cT )
        & ( cS @ cX ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ( cS = cT )
      & ( cT @ cX )
      & ( cP @ cS ) )
   => ( ( cP @ cT )
      & ( cS @ cX ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM503) ).

thf(f13,plain,
    ( ( ( cT @ cX )
     != $true )
    | ( ( cP @ cT )
     != $true ) ),
    inference(definition_unfolding,[],[f9,f11]) ).

thf(f11,plain,
    cS = cT,
    inference(cnf_transformation,[],[f7]) ).

thf(f9,plain,
    ( ( ( cS @ cX )
     != $true )
    | ( ( cP @ cT )
     != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f12,plain,
    ( ( cP @ cT )
    = $true ),
    inference(definition_unfolding,[],[f10,f11]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYO132^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15  % 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
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 08:44:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_EQU_NAR problem
% 0.14/0.36  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
% 0.14/0.39  % (7947)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)
% 0.14/0.39  % (7943)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39  % (7944)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)
% 0.14/0.39  % (7946)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39  % (7945)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)
% 0.14/0.39  % (7947)Instruction limit reached!
% 0.14/0.39  % (7947)------------------------------
% 0.14/0.39  % (7947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (7947)Termination reason: Unknown
% 0.14/0.39  % (7947)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (7947)Memory used [KB]: 5500
% 0.14/0.39  % (7947)Time elapsed: 0.004 s
% 0.14/0.39  % (7947)Instructions burned: 2 (million)
% 0.14/0.39  % (7947)------------------------------
% 0.14/0.39  % (7947)------------------------------
% 0.14/0.40  % (7943)First to succeed.
% 0.14/0.40  % (7950)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)
% 0.14/0.40  % (7946)Also succeeded, but the first one will report.
% 0.14/0.40  % (7949)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.40  % (7943)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Theorem for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40  % (7943)------------------------------
% 0.14/0.40  % (7943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (7943)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (7943)Memory used [KB]: 5373
% 0.21/0.40  % (7943)Time elapsed: 0.005 s
% 0.21/0.40  % (7943)Instructions burned: 1 (million)
% 0.21/0.40  % (7943)------------------------------
% 0.21/0.40  % (7943)------------------------------
% 0.21/0.40  % (7942)Success in time 0.028 s
% 0.21/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------