TSTP Solution File: PUZ137_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ137_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 : n029.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 02:28:50 EDT 2024

% Result   : Theorem 0.48s 0.70s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   61 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :  292 (  47 equ)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  122 (  52   ~;  46   |;   9   &)
%                                         (   9 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  211 ( 169 fml;  42 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   3   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  11 usr;  10 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   23 (  18   !;   5   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_3,type,
    bG0: $o > $o ).

tff(func_def_4,type,
    bG1: $o ).

tff(func_def_5,type,
    bG2: $o > $o ).

tff(func_def_6,type,
    sK3: $o ).

tff(func_def_7,type,
    sK4: $o ).

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

tff(f103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f49,f54,f77,f102]) ).

tff(f102,plain,
    ( ~ spl5_1
    | spl5_2 ),
    inference(avatar_contradiction_clause,[],[f101]) ).

tff(f101,plain,
    ( $false
    | ~ spl5_1
    | spl5_2 ),
    inference(subsumption_resolution,[],[f97,f100]) ).

tff(f100,plain,
    ( says(peter,$true)
    | ~ spl5_1 ),
    inference(backward_demodulation,[],[f25,f38]) ).

tff(f38,plain,
    ( ( $true = bG1 )
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f37]) ).

tff(f37,plain,
    ( spl5_1
  <=> ( $true = bG1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

tff(f25,plain,
    says(peter,bG1),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    says(peter,bG1),
    inference(fool_elimination,[],[f6,f8,f7]) ).

tff(f7,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
    <=> ( $true = bG0((X0)) ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).

tff(f8,plain,
    ( ! [X0: $o] :
        ( says(peter,bG0((X0)))
       => ( $true != (X0) ) )
  <=> ( $true = bG1 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).

tff(f6,plain,
    says(peter,
      ! [X0: $o] :
        ( says(peter,(X0))
       => ~ (X0) )),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    says(peter,
      ! [X0: $o] :
        ( says(peter,(X0))
       => ~ (X0) )),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f97,plain,
    ( ~ says(peter,$true)
    | spl5_2 ),
    inference(forward_demodulation,[],[f43,f35]) ).

tff(f35,plain,
    $true = bG0($true),
    inference(equality_resolution,[],[f31]) ).

tff(f31,plain,
    ! [X0: $o] :
      ( ( $true = bG0((X0)) )
      | ( $true != (X0) ) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: $o] :
      ( ( ( $true = (X0) )
        | ( $true != bG0((X0)) ) )
      & ( ( $true = bG0((X0)) )
        | ( $true != (X0) ) ) ),
    inference(nnf_transformation,[],[f7]) ).

tff(f43,plain,
    ( ~ says(peter,bG0($true))
    | spl5_2 ),
    inference(avatar_component_clause,[],[f41]) ).

tff(f41,plain,
    ( spl5_2
  <=> says(peter,bG0($true)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

tff(f77,plain,
    ( spl5_1
    | ~ spl5_3
    | ~ spl5_4 ),
    inference(avatar_contradiction_clause,[],[f76]) ).

tff(f76,plain,
    ( $false
    | spl5_1
    | ~ spl5_3
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f75,f56]) ).

tff(f56,plain,
    ( says(peter,$true)
    | ~ spl5_3
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f55,f35]) ).

tff(f55,plain,
    ( says(peter,bG0($true))
    | ~ spl5_3
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f53,f48]) ).

tff(f48,plain,
    ( ( $true = sK4 )
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f46]) ).

tff(f46,plain,
    ( spl5_3
  <=> ( $true = sK4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

tff(f53,plain,
    ( says(peter,bG0(sK4))
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f51]) ).

tff(f51,plain,
    ( spl5_4
  <=> says(peter,bG0(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

tff(f75,plain,
    ( ~ says(peter,$true)
    | spl5_1 ),
    inference(backward_demodulation,[],[f24,f74]) ).

tff(f74,plain,
    ( ( $true = bG2(sK3) )
    | spl5_1 ),
    inference(subsumption_resolution,[],[f65,f73]) ).

tff(f73,plain,
    ( says(peter,$false)
    | spl5_1 ),
    inference(subsumption_resolution,[],[f64,f39]) ).

tff(f39,plain,
    ( ( $true != bG1 )
    | spl5_1 ),
    inference(avatar_component_clause,[],[f37]) ).

tff(f64,plain,
    ( says(peter,$false)
    | ( $true = bG1 ) ),
    inference(superposition,[],[f25,f5]) ).

tff(f5,plain,
    ! [X0: $o] :
      ( ( $false = (X0) )
      | ( $true = (X0) ) ),
    introduced(fool_axiom,[]) ).

tff(f65,plain,
    ( ~ says(peter,$false)
    | ( $true = bG2(sK3) ) ),
    inference(superposition,[],[f24,f5]) ).

tff(f24,plain,
    ~ says(peter,bG2(sK3)),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ~ says(peter,bG2(sK3)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f14,f16]) ).

tff(f16,plain,
    ( ? [X0: $o] : ~ says(peter,bG2((X0)))
   => ~ says(peter,bG2(sK3)) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $o] : ~ says(peter,bG2((X0))),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ~ ! [X0: $o] : says(peter,bG2((X0))),
    inference(fool_elimination,[],[f10,f11]) ).

tff(f11,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
    <=> ( $true = bG2((X0)) ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG2])]) ).

tff(f10,plain,
    ~ ! [X0: $o] : says(peter,(X0)),
    inference(rectify,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ! [X0: $o] : says(peter,(X0)),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ! [X0: $o] : says(peter,(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

tff(f54,plain,
    ( spl5_4
    | spl5_1 ),
    inference(avatar_split_clause,[],[f26,f37,f51]) ).

tff(f26,plain,
    ( ( $true = bG1 )
    | says(peter,bG0(sK4)) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ( ( ! [X0: $o] :
          ( ( $true != (X0) )
          | ~ says(peter,bG0((X0))) )
      | ( $true != bG1 ) )
    & ( ( $true = bG1 )
      | ( ( $true = sK4 )
        & says(peter,bG0(sK4)) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f19,f20]) ).

tff(f20,plain,
    ( ? [X1: $o] :
        ( ( $true = (X1) )
        & says(peter,bG0((X1))) )
   => ( ( $true = sK4 )
      & says(peter,bG0(sK4)) ) ),
    introduced(choice_axiom,[]) ).

tff(f19,plain,
    ( ( ! [X0: $o] :
          ( ( $true != (X0) )
          | ~ says(peter,bG0((X0))) )
      | ( $true != bG1 ) )
    & ( ( $true = bG1 )
      | ? [X1: $o] :
          ( ( $true = (X1) )
          & says(peter,bG0((X1))) ) ) ),
    inference(rectify,[],[f18]) ).

tff(f18,plain,
    ( ( ! [X0: $o] :
          ( ( $true != (X0) )
          | ~ says(peter,bG0((X0))) )
      | ( $true != bG1 ) )
    & ( ( $true = bG1 )
      | ? [X0: $o] :
          ( ( $true = (X0) )
          & says(peter,bG0((X0))) ) ) ),
    inference(nnf_transformation,[],[f15]) ).

tff(f15,plain,
    ( ! [X0: $o] :
        ( ( $true != (X0) )
        | ~ says(peter,bG0((X0))) )
  <=> ( $true = bG1 ) ),
    inference(ennf_transformation,[],[f13]) ).

tff(f13,plain,
    ( ! [X0: $o] :
        ( says(peter,bG0((X0)))
       => ( $true != (X0) ) )
  <=> ( $true = bG1 ) ),
    inference(flattening,[],[f8]) ).

tff(f49,plain,
    ( spl5_3
    | spl5_1 ),
    inference(avatar_split_clause,[],[f27,f37,f46]) ).

tff(f27,plain,
    ( ( $true = bG1 )
    | ( $true = sK4 ) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f44,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f33,f41,f37]) ).

tff(f33,plain,
    ( ~ says(peter,bG0($true))
    | ( $true != bG1 ) ),
    inference(equality_resolution,[],[f28]) ).

tff(f28,plain,
    ! [X0: $o] :
      ( ( $true != (X0) )
      | ~ says(peter,bG0((X0)))
      | ( $true != bG1 ) ),
    inference(cnf_transformation,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : PUZ137_8 : TPTP v8.2.0. Released v8.0.0.
% 0.09/0.13  % 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
% 0.13/0.33  % Computer : n029.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   : Sat May 18 10:54:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TX0_THM_NEQ_NAR problem
% 0.13/0.34  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
% 0.48/0.70  % (3636)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.70  % (3637)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.48/0.70  % (3638)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 (2996ds/34Mi)
% 0.48/0.70  % (3639)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.48/0.70  % (3640)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 (2996ds/83Mi)
% 0.48/0.70  % (3641)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 (2996ds/56Mi)
% 0.48/0.70  % (3634)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 (2996ds/34Mi)
% 0.48/0.70  % (3639)Refutation not found, incomplete strategy% (3639)------------------------------
% 0.48/0.70  % (3639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70  % (3641)Refutation not found, incomplete strategy% (3641)------------------------------
% 0.48/0.70  % (3641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70  % (3641)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70  
% 0.48/0.70  % (3641)Memory used [KB]: 946
% 0.48/0.70  % (3641)Time elapsed: 0.002 s
% 0.48/0.70  % (3641)Instructions burned: 2 (million)
% 0.48/0.70  % (3639)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70  
% 0.48/0.70  % (3637)Refutation not found, incomplete strategy% (3637)------------------------------
% 0.48/0.70  % (3637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70  % (3639)Memory used [KB]: 946
% 0.48/0.70  % (3639)Time elapsed: 0.002 s
% 0.48/0.70  % (3639)Instructions burned: 2 (million)
% 0.48/0.70  % (3637)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70  
% 0.48/0.70  % (3637)Memory used [KB]: 964
% 0.48/0.70  % (3638)Refutation not found, incomplete strategy% (3638)------------------------------
% 0.48/0.70  % (3638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70  % (3637)Time elapsed: 0.002 s
% 0.48/0.70  % (3637)Instructions burned: 2 (million)
% 0.48/0.70  % (3638)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70  
% 0.48/0.70  % (3638)Memory used [KB]: 954
% 0.48/0.70  % (3638)Time elapsed: 0.002 s
% 0.48/0.70  % (3638)Instructions burned: 2 (million)
% 0.48/0.70  % (3641)------------------------------
% 0.48/0.70  % (3641)------------------------------
% 0.48/0.70  % (3639)------------------------------
% 0.48/0.70  % (3639)------------------------------
% 0.48/0.70  % (3637)------------------------------
% 0.48/0.70  % (3637)------------------------------
% 0.48/0.70  % (3636)First to succeed.
% 0.48/0.70  % (3638)------------------------------
% 0.48/0.70  % (3638)------------------------------
% 0.48/0.70  % (3640)Also succeeded, but the first one will report.
% 0.48/0.70  % (3636)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3633"
% 0.48/0.70  % (3634)Refutation not found, incomplete strategy% (3634)------------------------------
% 0.48/0.70  % (3634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70  % (3634)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70  
% 0.48/0.70  % (3634)Memory used [KB]: 971
% 0.48/0.70  % (3634)Time elapsed: 0.003 s
% 0.48/0.70  % (3634)Instructions burned: 2 (million)
% 0.48/0.70  % (3636)Refutation found. Thanks to Tanya!
% 0.48/0.70  % SZS status Theorem for theBenchmark
% 0.48/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.70  % (3636)------------------------------
% 0.48/0.70  % (3636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70  % (3636)Termination reason: Refutation
% 0.48/0.70  
% 0.48/0.70  % (3636)Memory used [KB]: 994
% 0.48/0.70  % (3636)Time elapsed: 0.003 s
% 0.48/0.70  % (3636)Instructions burned: 5 (million)
% 0.48/0.70  % (3633)Success in time 0.358 s
% 0.48/0.70  % Vampire---4.8 exiting
%------------------------------------------------------------------------------