TSTP Solution File: CSR119_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CSR119_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 : n019.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 19:35:39 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   48 (   9 unt;   4 typ;   0 def)
%            Number of atoms       :  228 (  22 equ)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :   88 (  35   ~;  41   |;   7   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  133 ( 131 fml;   2 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   14 (  11   !;   3   ?;   8   :)

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

tff(func_def_7,type,
    bG0: $o ).

tff(func_def_8,type,
    bG1: $i > $o ).

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

tff(f77,plain,
    $false,
    inference(avatar_sat_refutation,[],[f29,f35,f48,f50,f76]) ).

tff(f76,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_contradiction_clause,[],[f75]) ).

tff(f75,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f72,f60]) ).

tff(f60,plain,
    ( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
    | ~ spl2_1 ),
    inference(backward_demodulation,[],[f15,f23]) ).

tff(f23,plain,
    ( ( $true = bG0 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f22]) ).

tff(f22,plain,
    ( spl2_1
  <=> ( $true = bG0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f15,plain,
    holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,plain,
    holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
    inference(fool_elimination,[],[f1,f6]) ).

tff(f6,plain,
    ( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
      & likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
  <=> ( $true = bG0 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).

tff(f1,axiom,
    holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
      ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
      & likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

tff(f72,plain,
    ( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
    | ~ spl2_2 ),
    inference(superposition,[],[f14,f67]) ).

tff(f67,plain,
    ( ( $true = bG1(lSue_THFTYPE_i) )
    | ~ spl2_2 ),
    inference(resolution,[],[f16,f28]) ).

tff(f28,plain,
    ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f26]) ).

tff(f26,plain,
    ( spl2_2
  <=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f16,plain,
    ! [X0: $i] :
      ( ~ likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
      | ( $true = bG1(X0) ) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0] :
      ( ( likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
        | ( $true != bG1(X0) ) )
      & ( ( $true = bG1(X0) )
        | ~ likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) ) ),
    inference(nnf_transformation,[],[f8]) ).

tff(f8,plain,
    ! [X0] :
      ( likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
    <=> ( $true = bG1(X0) ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).

tff(f14,plain,
    ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0)),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ! [X0] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0)),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,plain,
    ~ ? [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0)),
    inference(fool_elimination,[],[f3,f8]) ).

tff(f3,negated_conjecture,
    ~ ? [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ? [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

tff(f50,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_contradiction_clause,[],[f49]) ).

tff(f49,plain,
    ( $false
    | spl2_1
    | spl2_2 ),
    inference(subsumption_resolution,[],[f27,f46]) ).

tff(f46,plain,
    ( ! [X0: $i] : likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
    | spl2_1 ),
    inference(trivial_inequality_removal,[],[f44]) ).

tff(f44,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) )
    | spl2_1 ),
    inference(backward_demodulation,[],[f17,f43]) ).

tff(f43,plain,
    ( ! [X0: $i] : ( $true = bG1(X0) )
    | spl2_1 ),
    inference(subsumption_resolution,[],[f40,f42]) ).

tff(f42,plain,
    ( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f38,f24]) ).

tff(f24,plain,
    ( ( $true != bG0 )
    | spl2_1 ),
    inference(avatar_component_clause,[],[f22]) ).

tff(f38,plain,
    ( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
    | ( $true = bG0 ) ),
    inference(superposition,[],[f15,f5]) ).

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

tff(f40,plain,
    ! [X0: $i] :
      ( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
      | ( $true = bG1(X0) ) ),
    inference(superposition,[],[f14,f5]) ).

tff(f17,plain,
    ! [X0: $i] :
      ( ( $true != bG1(X0) )
      | likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f27,plain,
    ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f26]) ).

tff(f48,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_contradiction_clause,[],[f47]) ).

tff(f47,plain,
    ( $false
    | spl2_1
    | spl2_3 ),
    inference(resolution,[],[f46,f32]) ).

tff(f32,plain,
    ( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f31]) ).

tff(f31,plain,
    ( spl2_3
  <=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

tff(f35,plain,
    ( ~ spl2_3
    | ~ spl2_2
    | spl2_1 ),
    inference(avatar_split_clause,[],[f18,f22,f26,f31]) ).

tff(f18,plain,
    ( ( $true = bG0 )
    | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ( ( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
        & likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
      | ( $true != bG0 ) )
    & ( ( $true = bG0 )
      | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
      | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ) ),
    inference(flattening,[],[f12]) ).

tff(f12,plain,
    ( ( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
        & likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
      | ( $true != bG0 ) )
    & ( ( $true = bG0 )
      | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
      | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ) ),
    inference(nnf_transformation,[],[f6]) ).

tff(f29,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f20,f26,f22]) ).

tff(f20,plain,
    ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | ( $true != bG0 ) ),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : CSR119_8 : TPTP v8.2.0. Released v8.0.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n019.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
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Sun May 19 02:32:53 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a TX0_THM_NEQ_NAR problem
% 0.14/0.37  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
% 0.57/0.75  % (3287)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)
% 0.57/0.75  % (3287)Refutation not found, incomplete strategy% (3287)------------------------------
% 0.57/0.75  % (3287)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (3287)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (3287)Memory used [KB]: 942
% 0.57/0.75  % (3287)Time elapsed: 0.001 s
% 0.57/0.75  % (3287)Instructions burned: 2 (million)
% 0.57/0.75  % (3287)------------------------------
% 0.57/0.75  % (3287)------------------------------
% 0.57/0.75  % (3281)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)
% 0.57/0.75  % (3283)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.75  % (3282)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 (2996ds/51Mi)
% 0.57/0.75  % (3284)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)
% 0.57/0.75  % (3284)Refutation not found, incomplete strategy% (3284)------------------------------
% 0.57/0.75  % (3284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (3284)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (3284)Memory used [KB]: 949
% 0.57/0.75  % (3284)Time elapsed: 0.002 s
% 0.57/0.75  % (3284)Instructions burned: 2 (million)
% 0.57/0.75  % (3281)Refutation not found, incomplete strategy% (3281)------------------------------
% 0.57/0.75  % (3281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (3281)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (3281)Memory used [KB]: 978
% 0.57/0.75  % (3281)Time elapsed: 0.003 s
% 0.57/0.75  % (3281)Instructions burned: 2 (million)
% 0.57/0.75  % (3284)------------------------------
% 0.57/0.75  % (3284)------------------------------
% 0.57/0.75  % (3281)------------------------------
% 0.57/0.75  % (3281)------------------------------
% 0.57/0.75  % (3288)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)
% 0.57/0.75  % (3283)First to succeed.
% 0.57/0.75  % (3288)Refutation not found, incomplete strategy% (3288)------------------------------
% 0.57/0.75  % (3288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (3288)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (3288)Memory used [KB]: 949
% 0.57/0.75  % (3288)Time elapsed: 0.001 s
% 0.57/0.75  % (3288)Instructions burned: 2 (million)
% 0.57/0.75  % (3282)Also succeeded, but the first one will report.
% 0.57/0.75  % (3289)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.75  % (3288)------------------------------
% 0.57/0.75  % (3288)------------------------------
% 0.57/0.75  % (3283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3280"
% 0.57/0.75  % (3283)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for theBenchmark
% 0.57/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.75  % (3283)------------------------------
% 0.57/0.75  % (3283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (3283)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (3283)Memory used [KB]: 991
% 0.57/0.75  % (3283)Time elapsed: 0.005 s
% 0.57/0.75  % (3283)Instructions burned: 4 (million)
% 0.57/0.75  % (3280)Success in time 0.377 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------