TSTP Solution File: SYO178^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO178^5 : 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 : n004.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 09:03:21 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   60 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :  882 ( 216 equ)
%            Maximal formula atoms :   58 (  14 avg)
%            Number of connectives :  612 ( 222   ~; 296   |;  85   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  432 ( 432 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  20 usr;  22 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f88,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f61,f66,f71,f72,f73,f74,f75,f80,f81,f82,f83,f84,f85,f86,f87]) ).

tff(f87,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f31,f41,f45]) ).

tff(f45,plain,
    ( spl0_3
  <=> ( cK = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

tff(f41,plain,
    ( spl0_2
  <=> ( cM = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f31,plain,
    ( ( cK != $true )
    | ( cM != $true ) ),
    inference(trivial_inequality_removal,[],[f30]) ).

tff(f30,plain,
    ( ( $true != $true )
    | ( cM != $true )
    | ( cK != $true ) ),
    inference(duplicate_literal_removal,[],[f27]) ).

tff(f27,plain,
    ( ( $true != $true )
    | ( $true != $true )
    | ( cM != $true )
    | ( cK != $true ) ),
    inference(definition_unfolding,[],[f15,f23,f22]) ).

tff(f22,plain,
    cL = $true,
    inference(cnf_transformation,[],[f6]) ).

tff(f6,plain,
    ( ( ( cM != $true )
      | ( cK = $true )
      | ( cN = $true )
      | ( cG != $true )
      | ( cE != $true ) )
    & ( cE = $true )
    & ( cL = $true )
    & ( ( cM = $true )
      | ( cG != $true )
      | ( cR = $true ) )
    & ( ( cM != $true )
      | ( cK = $true )
      | ( cF = $true )
      | ( cN != $true ) )
    & ( ( cC != $true )
      | ( cR = $true )
      | ( cG != $true )
      | ( cB != $true ) )
    & ( ( cC = $true )
      | ( cB != $true )
      | ( cK != $true ) )
    & ( ( cR != $true )
      | ( cE != $true )
      | ( cC != $true ) )
    & ( ( cR = $true )
      | ( cP = $true )
      | ( cG = $true ) )
    & ( ( cK != $true )
      | ( cE != $true )
      | ( cL != $true )
      | ( cM != $true ) )
    & ( ( cL != $true )
      | ( cM = $true )
      | ( cP != $true ) )
    & ( ( cC = $true )
      | ( cM != $true )
      | ( cL != $true ) )
    & ( ( cC = $true )
      | ( cN != $true )
      | ( cF = $true )
      | ( cP = $true ) )
    & ( ( cF = $true )
      | ( cR != $true )
      | ( cN = $true )
      | ( cP = $true ) )
    & ( ( cB = $true )
      | ( cF != $true ) )
    & ( ( cG = $true )
      | ( cK = $true )
      | ( cR = $true ) )
    & ( ( cK = $true )
      | ( cG != $true )
      | ( cB != $true )
      | ( cM = $true ) )
    & ( ( cG = $true )
      | ( cM = $true )
      | ( cR != $true )
      | ( cK = $true ) ) ),
    inference(flattening,[],[f5]) ).

tff(f5,plain,
    ~ ~ ( ( ( cL != $true )
          | ( cM = $true )
          | ( cP != $true ) )
        & ( ( cR != $true )
          | ( cG = $true )
          | ( cM = $true )
          | ( cK = $true ) )
        & ( ( cR = $true )
          | ( cP = $true )
          | ( cG = $true ) )
        & ( ( cB = $true )
          | ( cF != $true ) )
        & ( ( cR != $true )
          | ( cP = $true )
          | ( cF = $true )
          | ( cN = $true ) )
        & ( ( cM != $true )
          | ( cL != $true )
          | ( cC = $true ) )
        & ( cL = $true )
        & ( ( cB != $true )
          | ( cC != $true )
          | ( cG != $true )
          | ( cR = $true ) )
        & ( cE = $true )
        & ( ( cC != $true )
          | ( cE != $true )
          | ( cR != $true ) )
        & ( ( cR = $true )
          | ( cM = $true )
          | ( cG != $true ) )
        & ( ( cM = $true )
          | ( cK = $true )
          | ( cB != $true )
          | ( cG != $true ) )
        & ( ( cK != $true )
          | ( cB != $true )
          | ( cC = $true ) )
        & ( ( cN != $true )
          | ( cP = $true )
          | ( cF = $true )
          | ( cC = $true ) )
        & ( ( cE != $true )
          | ( cM != $true )
          | ( cK = $true )
          | ( cN = $true )
          | ( cG != $true ) )
        & ( ( cM != $true )
          | ( cK = $true )
          | ( cN != $true )
          | ( cF = $true ) )
        & ( ( cG = $true )
          | ( cK = $true )
          | ( cR = $true ) )
        & ( ( cE != $true )
          | ( cL != $true )
          | ( cK != $true )
          | ( cM != $true ) ) ),
    inference(fool_elimination,[],[f4]) ).

tff(f4,plain,
    ~ ~ ( ( ~ cL
          | cM
          | ~ cP )
        & ( ~ cR
          | cG
          | cM
          | cK )
        & ( cP
          | cR
          | cG )
        & ( cB
          | ~ cF )
        & ( ~ cR
          | cP
          | cF
          | cN )
        & ( ~ cM
          | ~ cL
          | cC )
        & cL
        & ( ~ cB
          | ~ cC
          | ~ cG
          | cR )
        & cE
        & ( ~ cC
          | ~ cE
          | ~ cR )
        & ( cR
          | cM
          | ~ cG )
        & ( cM
          | cK
          | ~ cB
          | ~ cG )
        & ( ~ cK
          | ~ cB
          | cC )
        & ( ~ cN
          | cP
          | cF
          | cC )
        & ( ~ cE
          | ~ cM
          | cK
          | cN
          | ~ cG )
        & ( ~ cM
          | cK
          | ~ cN
          | cF )
        & ( cK
          | cG
          | cR )
        & ( ~ cE
          | ~ cL
          | ~ cK
          | ~ cM ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ~ ( ( ~ cL
          | cM
          | ~ cP )
        & ( ~ cR
          | cG
          | cM
          | cK )
        & ( cP
          | cR
          | cG )
        & ( cB
          | ~ cF )
        & ( ~ cR
          | cP
          | cF
          | cN )
        & ( ~ cM
          | ~ cL
          | cC )
        & cL
        & ( ~ cB
          | ~ cC
          | ~ cG
          | cR )
        & cE
        & ( ~ cC
          | ~ cE
          | ~ cR )
        & ( cR
          | cM
          | ~ cG )
        & ( cM
          | cK
          | ~ cB
          | ~ cG )
        & ( ~ cK
          | ~ cB
          | cC )
        & ( ~ cN
          | cP
          | cF
          | cC )
        & ( ~ cE
          | ~ cM
          | cK
          | cN
          | ~ cG )
        & ( ~ cM
          | cK
          | ~ cN
          | cF )
        & ( cK
          | cG
          | cR )
        & ( ~ cE
          | ~ cL
          | ~ cK
          | ~ cM ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ~ ( ( ~ cL
        | cM
        | ~ cP )
      & ( ~ cR
        | cG
        | cM
        | cK )
      & ( cP
        | cR
        | cG )
      & ( cB
        | ~ cF )
      & ( ~ cR
        | cP
        | cF
        | cN )
      & ( ~ cM
        | ~ cL
        | cC )
      & cL
      & ( ~ cB
        | ~ cC
        | ~ cG
        | cR )
      & cE
      & ( ~ cC
        | ~ cE
        | ~ cR )
      & ( cR
        | cM
        | ~ cG )
      & ( cM
        | cK
        | ~ cB
        | ~ cG )
      & ( ~ cK
        | ~ cB
        | cC )
      & ( ~ cN
        | cP
        | cF
        | cC )
      & ( ~ cE
        | ~ cM
        | cK
        | cN
        | ~ cG )
      & ( ~ cM
        | cK
        | ~ cN
        | cF )
      & ( cK
        | cG
        | cR )
      & ( ~ cE
        | ~ cL
        | ~ cK
        | ~ cM ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPORKCHOP1C) ).

tff(f23,plain,
    cE = $true,
    inference(cnf_transformation,[],[f6]) ).

tff(f15,plain,
    ( ( cK != $true )
    | ( cE != $true )
    | ( cL != $true )
    | ( cM != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f86,plain,
    ( ~ spl0_4
    | spl0_9 ),
    inference(avatar_split_clause,[],[f10,f77,f49]) ).

tff(f49,plain,
    ( spl0_4
  <=> ( cF = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

tff(f77,plain,
    ( spl0_9
  <=> ( cB = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

tff(f10,plain,
    ( ( cB = $true )
    | ( cF != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f85,plain,
    ( spl0_8
    | ~ spl0_1
    | spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f12,f49,f63,f37,f68]) ).

tff(f68,plain,
    ( spl0_8
  <=> ( cC = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

tff(f37,plain,
    ( spl0_1
  <=> ( cN = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

tff(f63,plain,
    ( spl0_7
  <=> ( cP = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

tff(f12,plain,
    ( ( cF = $true )
    | ( cC = $true )
    | ( cN != $true )
    | ( cP = $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f84,plain,
    ( ~ spl0_5
    | spl0_1
    | spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f32,f41,f45,f37,f54]) ).

tff(f54,plain,
    ( spl0_5
  <=> ( cG = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

tff(f32,plain,
    ( ( cG != $true )
    | ( cK = $true )
    | ( cN = $true )
    | ( cM != $true ) ),
    inference(trivial_inequality_removal,[],[f25]) ).

tff(f25,plain,
    ( ( $true != $true )
    | ( cG != $true )
    | ( cN = $true )
    | ( cM != $true )
    | ( cK = $true ) ),
    inference(definition_unfolding,[],[f24,f23]) ).

tff(f24,plain,
    ( ( cM != $true )
    | ( cK = $true )
    | ( cN = $true )
    | ( cG != $true )
    | ( cE != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f83,plain,
    ( ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f33,f68,f58]) ).

tff(f58,plain,
    ( spl0_6
  <=> ( cR = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

tff(f33,plain,
    ( ( cR != $true )
    | ( cC != $true ) ),
    inference(trivial_inequality_removal,[],[f26]) ).

tff(f26,plain,
    ( ( cR != $true )
    | ( $true != $true )
    | ( cC != $true ) ),
    inference(definition_unfolding,[],[f17,f23]) ).

tff(f17,plain,
    ( ( cR != $true )
    | ( cE != $true )
    | ( cC != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f82,plain,
    ( ~ spl0_8
    | ~ spl0_5
    | ~ spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f19,f58,f77,f54,f68]) ).

tff(f19,plain,
    ( ( cG != $true )
    | ( cC != $true )
    | ( cR = $true )
    | ( cB != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f81,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f18,f77,f68,f45]) ).

tff(f18,plain,
    ( ( cK != $true )
    | ( cC = $true )
    | ( cB != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f80,plain,
    ( spl0_3
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f8,f77,f54,f41,f45]) ).

tff(f8,plain,
    ( ( cB != $true )
    | ( cG != $true )
    | ( cM = $true )
    | ( cK = $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f75,plain,
    ( spl0_2
    | spl0_6
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f21,f54,f58,f41]) ).

tff(f21,plain,
    ( ( cG != $true )
    | ( cM = $true )
    | ( cR = $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f74,plain,
    ( spl0_7
    | ~ spl0_6
    | spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f11,f37,f49,f58,f63]) ).

tff(f11,plain,
    ( ( cR != $true )
    | ( cN = $true )
    | ( cF = $true )
    | ( cP = $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f73,plain,
    ( spl0_6
    | spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f9,f45,f54,f58]) ).

tff(f9,plain,
    ( ( cR = $true )
    | ( cG = $true )
    | ( cK = $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f72,plain,
    ( spl0_7
    | spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f16,f54,f58,f63]) ).

tff(f16,plain,
    ( ( cR = $true )
    | ( cG = $true )
    | ( cP = $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f71,plain,
    ( spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f34,f41,f68]) ).

tff(f34,plain,
    ( ( cC = $true )
    | ( cM != $true ) ),
    inference(trivial_inequality_removal,[],[f29]) ).

tff(f29,plain,
    ( ( cC = $true )
    | ( cM != $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f13,f22]) ).

tff(f13,plain,
    ( ( cC = $true )
    | ( cM != $true )
    | ( cL != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f66,plain,
    ( ~ spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f35,f41,f63]) ).

tff(f35,plain,
    ( ( cM = $true )
    | ( cP != $true ) ),
    inference(trivial_inequality_removal,[],[f28]) ).

tff(f28,plain,
    ( ( $true != $true )
    | ( cM = $true )
    | ( cP != $true ) ),
    inference(definition_unfolding,[],[f14,f22]) ).

tff(f14,plain,
    ( ( cL != $true )
    | ( cM = $true )
    | ( cP != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f61,plain,
    ( spl0_2
    | spl0_3
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f7,f58,f54,f45,f41]) ).

tff(f7,plain,
    ( ( cR != $true )
    | ( cG = $true )
    | ( cM = $true )
    | ( cK = $true ) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f52,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f20,f49,f45,f41,f37]) ).

tff(f20,plain,
    ( ( cK = $true )
    | ( cF = $true )
    | ( cM != $true )
    | ( cN != $true ) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYO178^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.37  % Computer : n004.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon May 20 08:46:53 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.14/0.38  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.38  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
% 0.14/0.39  % (11759)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.39  % (11760)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)
% 0.14/0.39  % (11761)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)
% 0.14/0.40  % (11762)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.40  % (11763)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)
% 0.14/0.40  % (11764)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)
% 0.14/0.40  % (11765)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.40  % (11766)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)
% 0.14/0.40  % (11762)Instruction limit reached!
% 0.14/0.40  % (11762)------------------------------
% 0.14/0.40  % (11762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (11762)Termination reason: Unknown
% 0.14/0.40  % (11762)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (11763)Instruction limit reached!
% 0.14/0.40  % (11763)------------------------------
% 0.14/0.40  % (11763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (11763)Termination reason: Unknown
% 0.14/0.40  % (11763)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (11763)Memory used [KB]: 1023
% 0.14/0.40  % (11763)Time elapsed: 0.003 s
% 0.14/0.40  % (11763)Instructions burned: 2 (million)
% 0.14/0.40  % (11763)------------------------------
% 0.14/0.40  % (11763)------------------------------
% 0.14/0.40  % (11762)Memory used [KB]: 1023
% 0.14/0.40  % (11762)Time elapsed: 0.003 s
% 0.14/0.40  % (11762)Instructions burned: 2 (million)
% 0.14/0.40  % (11762)------------------------------
% 0.14/0.40  % (11762)------------------------------
% 0.14/0.40  % (11760)First to succeed.
% 0.14/0.40  % (11764)Also succeeded, but the first one will report.
% 0.14/0.40  % (11759)Also succeeded, but the first one will report.
% 0.14/0.40  % (11760)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  % (11760)------------------------------
% 0.14/0.40  % (11760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (11760)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (11760)Memory used [KB]: 5500
% 0.14/0.40  % (11760)Time elapsed: 0.005 s
% 0.14/0.40  % (11760)Instructions burned: 2 (million)
% 0.14/0.40  % (11760)------------------------------
% 0.14/0.40  % (11760)------------------------------
% 0.14/0.40  % (11758)Success in time 0.017 s
% 0.14/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------