TSTP Solution File: SYO501_8 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO501_8 : TPTP v8.2.0. Released v8.0.0.
% 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 : n020.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 09:05:33 EDT 2024

% Result   : Theorem 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   40 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :  147 (  21 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   71 (  31   ~;  32   |;   3   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   72 (  70 fml;   2 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   8 usr;   9 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :    1 (   1   !;   0   ?;   1   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_1,type,
    f: ( $i * $o ) > $i ).

tff(func_def_4,type,
    bG0: $o ).

tff(func_def_5,type,
    bG1: $o ).

tff(f54,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f26,f31,f32,f43,f53]) ).

tff(f53,plain,
    ( ~ spl2_1
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f52]) ).

tff(f52,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f51,f50]) ).

tff(f50,plain,
    ( ~ p(f(x,$true))
    | ~ spl2_3 ),
    inference(backward_demodulation,[],[f12,f29]) ).

tff(f29,plain,
    ( ( $true = bG1 )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f28]) ).

tff(f28,plain,
    ( spl2_3
  <=> ( $true = bG1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

tff(f12,plain,
    ~ p(f(x,bG1)),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ~ p(f(x,bG1))
    & p(f(x,bG0)) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ( p(f(x,bG1))
      | ~ p(f(x,bG0)) ),
    inference(fool_elimination,[],[f2,f6,f5]) ).

tff(f5,plain,
    ( y
  <=> ( $true = bG0 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).

tff(f6,plain,
    ( y
  <=> ( $true = bG1 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).

tff(f2,negated_conjecture,
    ~ ( p(f(x,y))
      | ~ p(f(x,y)) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( p(f(x,y))
    | ~ p(f(x,y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim) ).

tff(f51,plain,
    ( p(f(x,$true))
    | ~ spl2_1 ),
    inference(backward_demodulation,[],[f11,f19]) ).

tff(f19,plain,
    ( ( $true = bG0 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f18]) ).

tff(f18,plain,
    ( spl2_1
  <=> ( $true = bG0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f11,plain,
    p(f(x,bG0)),
    inference(cnf_transformation,[],[f8]) ).

tff(f43,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_contradiction_clause,[],[f42]) ).

tff(f42,plain,
    ( $false
    | spl2_1
    | spl2_3 ),
    inference(subsumption_resolution,[],[f41,f30]) ).

tff(f30,plain,
    ( ( $true != bG1 )
    | spl2_3 ),
    inference(avatar_component_clause,[],[f28]) ).

tff(f41,plain,
    ( ( $true = bG1 )
    | spl2_1 ),
    inference(subsumption_resolution,[],[f38,f40]) ).

tff(f40,plain,
    ( p(f(x,$false))
    | spl2_1 ),
    inference(subsumption_resolution,[],[f36,f20]) ).

tff(f20,plain,
    ( ( $true != bG0 )
    | spl2_1 ),
    inference(avatar_component_clause,[],[f18]) ).

tff(f36,plain,
    ( p(f(x,$false))
    | ( $true = bG0 ) ),
    inference(superposition,[],[f11,f4]) ).

tff(f4,plain,
    ! [X0: $o] :
      ( ( $false = (X0) )
      | ( $true = (X0) ) ),
    introduced(fool_axiom,[]) ).

tff(f38,plain,
    ( ~ p(f(x,$false))
    | ( $true = bG1 ) ),
    inference(superposition,[],[f12,f4]) ).

tff(f32,plain,
    ( ~ spl2_2
    | spl2_3 ),
    inference(avatar_split_clause,[],[f15,f28,f22]) ).

tff(f22,plain,
    ( spl2_2
  <=> y ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f15,plain,
    ( ( $true = bG1 )
    | ~ y ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ( ( y
      | ( $true != bG1 ) )
    & ( ( $true = bG1 )
      | ~ y ) ),
    inference(nnf_transformation,[],[f6]) ).

tff(f31,plain,
    ( ~ spl2_3
    | spl2_2 ),
    inference(avatar_split_clause,[],[f16,f22,f28]) ).

tff(f16,plain,
    ( y
    | ( $true != bG1 ) ),
    inference(cnf_transformation,[],[f10]) ).

tff(f26,plain,
    ( ~ spl2_2
    | spl2_1 ),
    inference(avatar_split_clause,[],[f13,f18,f22]) ).

tff(f13,plain,
    ( ( $true = bG0 )
    | ~ y ),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ( ( y
      | ( $true != bG0 ) )
    & ( ( $true = bG0 )
      | ~ y ) ),
    inference(nnf_transformation,[],[f5]) ).

tff(f25,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f14,f22,f18]) ).

tff(f14,plain,
    ( y
    | ( $true != bG0 ) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO501_8 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.13  % 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
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 10:25:52 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TX0_THM_NEQ_NAR problem
% 0.13/0.35  Running 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 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.78  % (14715)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.78  % (14715)Refutation not found, incomplete strategy% (14715)------------------------------
% 0.62/0.78  % (14715)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (14715)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (14715)Memory used [KB]: 951
% 0.62/0.78  % (14715)Time elapsed: 0.002 s
% 0.62/0.78  % (14715)Instructions burned: 2 (million)
% 0.62/0.78  % (14715)------------------------------
% 0.62/0.78  % (14715)------------------------------
% 0.62/0.78  % (14710)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.62/0.78  % (14712)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.78  % (14713)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.78  % (14714)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.62/0.78  % (14711)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.62/0.78  % (14714)Refutation not found, incomplete strategy% (14714)------------------------------
% 0.62/0.78  % (14714)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (14710)Refutation not found, incomplete strategy% (14710)------------------------------
% 0.62/0.78  % (14710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (14714)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (14714)Memory used [KB]: 950
% 0.62/0.78  % (14714)Time elapsed: 0.002 s
% 0.62/0.78  % (14714)Instructions burned: 2 (million)
% 0.62/0.78  % (14710)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (14710)Memory used [KB]: 967
% 0.62/0.78  % (14710)Time elapsed: 0.003 s
% 0.62/0.78  % (14710)Instructions burned: 2 (million)
% 0.62/0.78  % (14714)------------------------------
% 0.62/0.78  % (14714)------------------------------
% 0.62/0.78  % (14710)------------------------------
% 0.62/0.78  % (14710)------------------------------
% 0.62/0.78  % (14712)First to succeed.
% 0.62/0.78  % (14711)Also succeeded, but the first one will report.
% 0.62/0.78  % (14717)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.62/0.78  % (14713)Refutation not found, incomplete strategy% (14713)------------------------------
% 0.62/0.78  % (14713)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (14713)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  % (14712)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14709"
% 0.62/0.78  
% 0.62/0.78  % (14713)Memory used [KB]: 952
% 0.62/0.78  % (14713)Time elapsed: 0.004 s
% 0.62/0.78  % (14713)Instructions burned: 2 (million)
% 0.62/0.78  % (14717)Refutation not found, incomplete strategy% (14717)------------------------------
% 0.62/0.78  % (14717)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (14713)------------------------------
% 0.62/0.78  % (14713)------------------------------
% 0.62/0.78  % (14717)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (14717)Memory used [KB]: 949
% 0.62/0.78  % (14717)Time elapsed: 0.001 s
% 0.62/0.78  % (14717)Instructions burned: 2 (million)
% 0.62/0.78  % (14717)------------------------------
% 0.62/0.78  % (14717)------------------------------
% 0.62/0.78  % (14712)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Theorem for theBenchmark
% 0.62/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.78  % (14712)------------------------------
% 0.62/0.78  % (14712)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (14712)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (14712)Memory used [KB]: 986
% 0.62/0.78  % (14712)Time elapsed: 0.004 s
% 0.62/0.78  % (14712)Instructions burned: 3 (million)
% 0.62/0.78  % (14709)Success in time 0.427 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------