TSTP Solution File: SYO088^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO088^5 : 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 : n024.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 09:02:53 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :  356 (  97 equ)
%            Maximal formula atoms :   14 (  10 avg)
%            Number of connectives :  207 (  78   ~;  74   |;  34   &)
%                                         (   6 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  194 ( 194 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  13 usr;  15 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f52,plain,
    $false,
    inference(avatar_sat_refutation,[],[f41,f46,f47,f48,f49,f50,f51]) ).

tff(f51,plain,
    ( ~ spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f15,f34,f43]) ).

tff(f43,plain,
    ( spl0_6
  <=> ( p = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

tff(f34,plain,
    ( spl0_4
  <=> ( d = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

tff(f15,plain,
    ( ( p != $true )
    | ( d = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ( ( p != $true )
      | ( ( c = $true )
        & ( d = $true )
        & ( a = $true )
        & ( b = $true ) ) )
    & ( ( s != $true )
      | ( ( ( d != $true )
          | ( a != $true )
          | ( b != $true )
          | ( c != $true ) )
        & ( p = $true ) )
      | ( t = $true ) )
    & ( s = $true )
    & ( t != $true ) ),
    inference(flattening,[],[f7]) ).

tff(f7,plain,
    ( ( t != $true )
    & ( s = $true )
    & ( ( p != $true )
      | ( ( b = $true )
        & ( a = $true )
        & ( c = $true )
        & ( d = $true ) ) )
    & ( ( ( ( d != $true )
          | ( a != $true )
          | ( b != $true )
          | ( c != $true ) )
        & ( p = $true ) )
      | ( t = $true )
      | ( s != $true ) ) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,plain,
    ~ ( ( ( ( ( d != $true )
            | ( a != $true )
            | ( b != $true )
            | ( c != $true ) )
          & ( p = $true ) )
        | ( ( s = $true )
         => ( t = $true ) ) )
     => ( ( ( s = $true )
         => ( t = $true ) )
        | ( ( p = $true )
          & ( ~ ( ( b = $true )
                & ( a = $true ) )
            | ~ ( ( c = $true )
                & ( d = $true ) ) ) ) ) ),
    inference(flattening,[],[f5]) ).

tff(f5,plain,
    ~ ( ( ( ( p = $true )
          & ( ( b != $true )
            | ( c != $true )
            | ( d != $true )
            | ( a != $true ) ) )
        | ( ( s = $true )
         => ( t = $true ) ) )
     => ( ( ( s = $true )
         => ( t = $true ) )
        | ( ( p = $true )
          & ( ~ ( ( b = $true )
                & ( a = $true ) )
            | ~ ( ( c = $true )
                & ( d = $true ) ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

tff(f4,plain,
    ~ ( ( ( p
          & ( ~ b
            | ~ c
            | ~ d
            | ~ a ) )
        | ( s
         => t ) )
     => ( ( ( ~ ( d
                & c )
            | ~ ( b
                & a ) )
          & p )
        | ( s
         => t ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ( p
          & ( ~ b
            | ~ c
            | ~ d
            | ~ a ) )
        | ( s
         => t ) )
     => ( ( ( ~ ( d
                & c )
            | ~ ( b
                & a ) )
          & p )
        | ( s
         => t ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( ( p
        & ( ~ b
          | ~ c
          | ~ d
          | ~ a ) )
      | ( s
       => t ) )
   => ( ( ( ~ ( d
              & c )
          | ~ ( b
              & a ) )
        & p )
      | ( s
       => t ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cARR_COM_DMG5) ).

tff(f50,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f9,f26]) ).

tff(f26,plain,
    ( spl0_2
  <=> ( t = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f9,plain,
    t != $true,
    inference(cnf_transformation,[],[f8]) ).

tff(f49,plain,
    ( ~ spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f14,f22,f43]) ).

tff(f22,plain,
    ( spl0_1
  <=> ( a = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

tff(f14,plain,
    ( ( p != $true )
    | ( a = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f48,plain,
    ( spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f16,f43,f30]) ).

tff(f30,plain,
    ( spl0_3
  <=> ( c = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

tff(f16,plain,
    ( ( c = $true )
    | ( p != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f47,plain,
    ( ~ spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f13,f38,f43]) ).

tff(f38,plain,
    ( spl0_5
  <=> ( b = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

tff(f13,plain,
    ( ( p != $true )
    | ( b = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f46,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f19,f43,f26]) ).

tff(f19,plain,
    ( ( p = $true )
    | ( t = $true ) ),
    inference(trivial_inequality_removal,[],[f18]) ).

tff(f18,plain,
    ( ( p = $true )
    | ( t = $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f11,f10]) ).

tff(f10,plain,
    s = $true,
    inference(cnf_transformation,[],[f8]) ).

tff(f11,plain,
    ( ( s != $true )
    | ( p = $true )
    | ( t = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f41,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f20,f38,f34,f30,f26,f22]) ).

tff(f20,plain,
    ( ( c != $true )
    | ( t = $true )
    | ( a != $true )
    | ( b != $true )
    | ( d != $true ) ),
    inference(trivial_inequality_removal,[],[f17]) ).

tff(f17,plain,
    ( ( a != $true )
    | ( c != $true )
    | ( d != $true )
    | ( b != $true )
    | ( t = $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f12,f10]) ).

tff(f12,plain,
    ( ( s != $true )
    | ( d != $true )
    | ( a != $true )
    | ( b != $true )
    | ( c != $true )
    | ( t = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO088^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % 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
% 0.14/0.36  % Computer : n024.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 10:33:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_NEQ_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
% 0.14/0.38  % (11015)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)
% 0.14/0.38  % (11014)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.38  % (11016)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)
% 0.14/0.38  % (11017)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38  % (11018)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)
% 0.14/0.38  % (11019)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)
% 0.14/0.38  % (11020)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38  % (11021)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)
% 0.14/0.38  % (11015)First to succeed.
% 0.14/0.38  % (11014)Also succeeded, but the first one will report.
% 0.14/0.38  % (11021)Also succeeded, but the first one will report.
% 0.14/0.38  % (11015)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (11015)------------------------------
% 0.14/0.38  % (11015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (11015)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (11015)Memory used [KB]: 5500
% 0.14/0.38  % (11015)Time elapsed: 0.004 s
% 0.14/0.38  % (11015)Instructions burned: 1 (million)
% 0.14/0.38  % (11015)------------------------------
% 0.14/0.38  % (11015)------------------------------
% 0.14/0.38  % (11013)Success in time 0.006 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------