TSTP Solution File: CSR152_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CSR152_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 : Mon May 20 19:36:01 EDT 2024

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   58 (  17 unt;   5 typ;   0 def)
%            Number of atoms       :  268 (  36 equ)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  104 (  41   ~;  42   |;  10   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  154 ( 152 fml;   2 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  14 usr;  14 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   13 (  10   !;   3   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    num: $tType ).

tff(func_def_6,type,
    bG0: $o ).

tff(func_def_7,type,
    bG1: $o ).

tff(func_def_8,type,
    bG2: $o ).

tff(pred_def_1,type,
    knows_THFTYPE_IiooI: ( $i * $o ) > $o ).

tff(f89,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f51,f65,f80,f88]) ).

tff(f88,plain,
    ( spl4_1
    | spl4_3 ),
    inference(avatar_contradiction_clause,[],[f87]) ).

tff(f87,plain,
    ( $false
    | spl4_1
    | spl4_3 ),
    inference(resolution,[],[f85,f77]) ).

tff(f77,plain,
    ( ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false)
    | spl4_1 ),
    inference(superposition,[],[f32,f74]) ).

tff(f74,plain,
    ( ( $false = bG2 )
    | spl4_1 ),
    inference(trivial_inequality_removal,[],[f71]) ).

tff(f71,plain,
    ( ( $true != $true )
    | ( $false = bG2 )
    | spl4_1 ),
    inference(superposition,[],[f37,f7]) ).

tff(f7,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
      | ( $false = (X0) ) ),
    introduced(fool_axiom,[]) ).

tff(f37,plain,
    ( ( $true != bG2 )
    | spl4_1 ),
    inference(avatar_component_clause,[],[f35]) ).

tff(f35,plain,
    ( spl4_1
  <=> ( $true = bG2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f32,plain,
    ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG2),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG2),
    inference(flattening,[],[f13]) ).

tff(f13,plain,
    ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG2),
    inference(fool_elimination,[],[f5,f12]) ).

tff(f12,plain,
    ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
  <=> ( $true = bG2 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG2])]) ).

tff(f5,negated_conjecture,
    ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
    inference(negated_conjecture,[],[f4]) ).

tff(f4,conjecture,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

tff(f85,plain,
    ( knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false)
    | spl4_3 ),
    inference(superposition,[],[f31,f82]) ).

tff(f82,plain,
    ( ( $false = bG1 )
    | spl4_3 ),
    inference(trivial_inequality_removal,[],[f81]) ).

tff(f81,plain,
    ( ( $true != $true )
    | ( $false = bG1 )
    | spl4_3 ),
    inference(superposition,[],[f47,f7]) ).

tff(f47,plain,
    ( ( $true != bG1 )
    | spl4_3 ),
    inference(avatar_component_clause,[],[f45]) ).

tff(f45,plain,
    ( spl4_3
  <=> ( $true = bG1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f31,plain,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG1),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG1),
    inference(fool_elimination,[],[f3,f10]) ).

tff(f10,plain,
    ( ! [X0] :
        ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
       => likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
  <=> ( $true = bG1 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).

tff(f3,axiom,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,
      ! [X0] :
        ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
       => likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).

tff(f80,plain,
    ( spl4_2
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f79,f49,f39]) ).

tff(f39,plain,
    ( spl4_2
  <=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f49,plain,
    ( spl4_4
  <=> ! [X0] :
        ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
        | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f79,plain,
    ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | ~ spl4_4 ),
    inference(resolution,[],[f50,f30]) ).

tff(f30,plain,
    likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).

tff(f50,plain,
    ( ! [X0: $i] :
        ( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
        | likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f49]) ).

tff(f65,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f64]) ).

tff(f64,plain,
    ( $false
    | ~ spl4_1 ),
    inference(resolution,[],[f62,f63]) ).

tff(f63,plain,
    ( ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true)
    | ~ spl4_1 ),
    inference(superposition,[],[f32,f36]) ).

tff(f36,plain,
    ( ( $true = bG2 )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f35]) ).

tff(f62,plain,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true),
    inference(forward_demodulation,[],[f29,f33]) ).

tff(f33,plain,
    $true = bG0,
    inference(trivial_inequality_removal,[],[f27]) ).

tff(f27,plain,
    ( ( $true = bG0 )
    | ( lChris_THFTYPE_i != lChris_THFTYPE_i ) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ( ( ( lChris_THFTYPE_i = lChris_THFTYPE_i )
      | ( $true != bG0 ) )
    & ( ( $true = bG0 )
      | ( lChris_THFTYPE_i != lChris_THFTYPE_i ) ) ),
    inference(nnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ( lChris_THFTYPE_i = lChris_THFTYPE_i )
  <=> ( $true = bG0 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).

tff(f29,plain,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG0),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG0),
    inference(fool_elimination,[],[f1,f8]) ).

tff(f1,axiom,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,lChris_THFTYPE_i = lChris_THFTYPE_i),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

tff(f51,plain,
    ( ~ spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f26,f49,f45]) ).

tff(f26,plain,
    ! [X0: $i] :
      ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
      | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
      | ( $true != bG1 ) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ( ( ! [X0] :
          ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
          | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
      | ( $true != bG1 ) )
    & ( ( $true = bG1 )
      | ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,sK3)
        & likes_THFTYPE_IiioI(lMary_THFTYPE_i,sK3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f18,f19]) ).

tff(f19,plain,
    ( ? [X1] :
        ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
        & likes_THFTYPE_IiioI(lMary_THFTYPE_i,X1) )
   => ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,sK3)
      & likes_THFTYPE_IiioI(lMary_THFTYPE_i,sK3) ) ),
    introduced(choice_axiom,[]) ).

tff(f18,plain,
    ( ( ! [X0] :
          ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
          | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
      | ( $true != bG1 ) )
    & ( ( $true = bG1 )
      | ? [X1] :
          ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
          & likes_THFTYPE_IiioI(lMary_THFTYPE_i,X1) ) ) ),
    inference(rectify,[],[f17]) ).

tff(f17,plain,
    ( ( ! [X0] :
          ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
          | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
      | ( $true != bG1 ) )
    & ( ( $true = bG1 )
      | ? [X0] :
          ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
          & likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
    inference(nnf_transformation,[],[f15]) ).

tff(f15,plain,
    ( ! [X0] :
        ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
        | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
  <=> ( $true = bG1 ) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f43,plain,
    ( ~ spl4_2
    | spl4_1 ),
    inference(avatar_split_clause,[],[f22,f35,f39]) ).

tff(f22,plain,
    ( ( $true = bG2 )
    | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
      | ( $true != bG2 ) )
    & ( ( $true = bG2 )
      | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ) ),
    inference(nnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : CSR152_8 : TPTP v8.2.0. Released v8.0.0.
% 0.02/0.11  % 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
% 0.11/0.31  % Computer : n017.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sun May 19 01:06:23 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a TX0_THM_EQU_NAR problem
% 0.11/0.31  Running 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 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.74  % (6937)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)
% 0.55/0.74  % (6938)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)
% 0.55/0.74  % (6939)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.55/0.74  % (6940)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)
% 0.55/0.74  % (6941)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)
% 0.55/0.74  % (6942)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)
% 0.55/0.74  % (6943)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.55/0.74  % (6944)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)
% 0.55/0.74  % (6940)Refutation not found, incomplete strategy% (6940)------------------------------
% 0.55/0.74  % (6940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (6941)Refutation not found, incomplete strategy% (6941)------------------------------
% 0.55/0.74  % (6941)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (6940)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (6940)Memory used [KB]: 951
% 0.55/0.74  % (6940)Time elapsed: 0.002 s
% 0.55/0.74  % (6940)Instructions burned: 2 (million)
% 0.55/0.74  % (6942)Refutation not found, incomplete strategy% (6942)------------------------------
% 0.55/0.74  % (6942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (6944)Refutation not found, incomplete strategy% (6944)------------------------------
% 0.55/0.74  % (6944)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (6941)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (6941)Memory used [KB]: 954
% 0.55/0.74  % (6944)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (6941)Time elapsed: 0.002 s
% 0.55/0.74  % (6944)Memory used [KB]: 949
% 0.55/0.74  % (6944)Time elapsed: 0.002 s
% 0.55/0.74  % (6941)Instructions burned: 2 (million)
% 0.55/0.74  % (6944)Instructions burned: 2 (million)
% 0.55/0.74  % (6937)Refutation not found, incomplete strategy% (6937)------------------------------
% 0.55/0.74  % (6937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (6937)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (6937)Memory used [KB]: 976
% 0.55/0.74  % (6937)Time elapsed: 0.002 s
% 0.55/0.74  % (6937)Instructions burned: 2 (million)
% 0.55/0.74  % (6942)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (6942)Memory used [KB]: 951
% 0.55/0.74  % (6942)Time elapsed: 0.002 s
% 0.55/0.74  % (6943)Refutation not found, incomplete strategy% (6943)------------------------------
% 0.55/0.74  % (6943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (6943)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (6943)Memory used [KB]: 961
% 0.55/0.74  % (6943)Time elapsed: 0.002 s
% 0.55/0.74  % (6943)Instructions burned: 2 (million)
% 0.55/0.74  % (6942)Instructions burned: 2 (million)
% 0.55/0.74  % (6940)------------------------------
% 0.55/0.74  % (6940)------------------------------
% 0.55/0.74  % (6944)------------------------------
% 0.55/0.74  % (6944)------------------------------
% 0.55/0.74  % (6941)------------------------------
% 0.55/0.74  % (6941)------------------------------
% 0.55/0.74  % (6937)------------------------------
% 0.55/0.74  % (6937)------------------------------
% 0.55/0.74  % (6943)------------------------------
% 0.55/0.74  % (6943)------------------------------
% 0.55/0.74  % (6942)------------------------------
% 0.55/0.74  % (6942)------------------------------
% 0.55/0.74  % (6938)First to succeed.
% 0.55/0.74  % (6939)Also succeeded, but the first one will report.
% 0.55/0.74  % (6938)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6936"
% 0.55/0.74  % (6938)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for theBenchmark
% 0.55/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.75  % (6938)------------------------------
% 0.55/0.75  % (6938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (6938)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (6938)Memory used [KB]: 999
% 0.55/0.75  % (6938)Time elapsed: 0.004 s
% 0.55/0.75  % (6938)Instructions burned: 4 (million)
% 0.55/0.75  % (6936)Success in time 0.429 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------