TSTP Solution File: SEV406^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV406^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 04:13:41 EDT 2024

% Result   : Theorem 0.13s 0.35s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   41 (   4 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :   50 (   5   ~;  10   |;   0   &;  30   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (  10   ^   0   !;   0   ?;  10   :)

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

thf(func_def_1,type,
    cB: $i > $o ).

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

thf(f9,plain,
    $false,
    inference(trivial_inequality_removal,[],[f8]) ).

thf(f8,plain,
    $true = $false,
    inference(boolean_simplification,[],[f7]) ).

thf(f7,plain,
    ( $true = ~ $true ),
    inference(boolean_simplification,[],[f6]) ).

thf(f6,plain,
    ( $true
    = ( ~ ( ( cP
            @ ^ [Y0: $i] :
                ( ( cB @ Y0 )
                | ( cA @ Y0 ) ) )
         => ( cP
            @ ^ [Y0: $i] :
                ( ( cB @ Y0 )
                | ( cA @ Y0 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,plain,
    ( $true
    = ( ~ ( ( cP
            @ ^ [Y0: $i] :
                ( ( cB @ Y0 )
                | ( cA @ Y0 ) ) )
         => ( cP
            @ ^ [Y0: $i] :
                ( ( cB @ Y0 )
                | ( cA @ Y0 ) ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( cP
        @ ^ [X0: $i] :
            ( ( cA @ X0 )
            | ( cB @ X0 ) ) )
     => ( cP
        @ ^ [X1: $i] :
            ( ( cA @ X1 )
            | ( cB @ X1 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( cP
        @ ^ [X0: $i] :
            ( ( cA @ X0 )
            | ( cB @ X0 ) ) )
     => ( cP
        @ ^ [X0: $i] :
            ( ( cA @ X0 )
            | ( cB @ X0 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( cP
      @ ^ [X0: $i] :
          ( ( cA @ X0 )
          | ( cB @ X0 ) ) )
   => ( cP
      @ ^ [X0: $i] :
          ( ( cA @ X0 )
          | ( cB @ X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT2_pme) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SEV406^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun May 19 18:31:38 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a TH0_THM_NEQ_NAR problem
% 0.13/0.33  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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % (15650)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 (3000ds/4Mi)
% 0.13/0.35  % (15649)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.35  % (15651)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 (3000ds/27Mi)
% 0.13/0.35  % (15652)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.35  % (15656)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)
% 0.13/0.35  % (15654)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 (3000ds/275Mi)
% 0.13/0.35  % (15655)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.35  % (15653)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)
% 0.13/0.35  % (15653)First to succeed.
% 0.13/0.35  % (15651)Refutation not found, incomplete strategy
% 0.13/0.35  % (15651)------------------------------
% 0.13/0.35  % (15651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (15651)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  % (15651)Memory used [KB]: 5500
% 0.13/0.35  % (15651)Time elapsed: 0.003 s
% 0.13/0.35  % (15651)Instructions burned: 1 (million)
% 0.13/0.35  % (15651)------------------------------
% 0.13/0.35  % (15651)------------------------------
% 0.13/0.35  % (15650)Refutation not found, incomplete strategy
% 0.13/0.35  % (15650)------------------------------
% 0.13/0.35  % (15650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (15649)Also succeeded, but the first one will report.
% 0.13/0.35  % (15656)Refutation not found, incomplete strategy
% 0.13/0.35  % (15656)------------------------------
% 0.13/0.35  % (15656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (15656)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  % (15656)Memory used [KB]: 5500
% 0.13/0.35  % (15656)Time elapsed: 0.003 s
% 0.13/0.35  % (15656)Instructions burned: 1 (million)
% 0.13/0.35  % (15656)------------------------------
% 0.13/0.35  % (15656)------------------------------
% 0.13/0.35  % (15650)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  % (15650)Memory used [KB]: 5500
% 0.13/0.35  % (15650)Time elapsed: 0.003 s
% 0.13/0.35  % (15650)Instructions burned: 2 (million)
% 0.13/0.35  % (15650)------------------------------
% 0.13/0.35  % (15650)------------------------------
% 0.13/0.35  % (15652)Also succeeded, but the first one will report.
% 0.13/0.35  % (15653)Refutation found. Thanks to Tanya!
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.35  % (15653)------------------------------
% 0.13/0.35  % (15653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (15653)Termination reason: Refutation
% 0.13/0.35  
% 0.13/0.35  % (15653)Memory used [KB]: 5373
% 0.13/0.35  % (15653)Time elapsed: 0.003 s
% 0.13/0.35  % (15653)Instructions burned: 1 (million)
% 0.13/0.35  % (15653)------------------------------
% 0.13/0.35  % (15653)------------------------------
% 0.13/0.35  % (15648)Success in time 0.015 s
% 0.13/0.35  % Vampire---4.8 exiting
%------------------------------------------------------------------------------