TSTP Solution File: LCL033-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL033-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : 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 : Sun May  5 07:32:48 EDT 2024

% Result   : Unsatisfiable 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  19   ~;  16   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f119,plain,
    $false,
    inference(avatar_sat_refutation,[],[f74,f100,f110,f118]) ).

fof(f118,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f111]) ).

fof(f111,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f109,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(implies(a,implies(b,a))),
    file('/export/starexec/sandbox/tmp/tmp.Hnh173Nptq/Vampire---4.8_24598',prove_c0_2) ).

fof(f109,plain,
    ( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl0_7
  <=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f110,plain,
    ( spl0_7
    | spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f101,f98,f43,f108]) ).

fof(f43,plain,
    ( spl0_4
  <=> ! [X0] : ~ is_a_theorem(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f98,plain,
    ( spl0_6
  <=> ! [X2,X1,X3] : is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f101,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(X2,X1))) )
    | ~ spl0_6 ),
    inference(resolution,[],[f99,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Hnh173Nptq/Vampire---4.8_24598',condensed_detachment) ).

fof(f99,plain,
    ( ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f100,plain,
    ( spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f91,f43,f98]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) ),
    inference(resolution,[],[f85,f1]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
    inference(resolution,[],[f84,f5]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
    inference(resolution,[],[f4,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
    file('/export/starexec/sandbox/tmp/tmp.Hnh173Nptq/Vampire---4.8_24598',c0_CAMerideth) ).

fof(f4,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))
      | is_a_theorem(implies(implies(X4,X0),implies(X2,X0))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3))
      | is_a_theorem(implies(X4,X3)) ),
    inference(resolution,[],[f77,f1]) ).

fof(f77,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3),implies(X4,X3))),
    inference(resolution,[],[f29,f4]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(falsehood,X1),X2),implies(X3,X2)))),
    inference(resolution,[],[f9,f2]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))
      | is_a_theorem(implies(X3,X2)) ),
    inference(resolution,[],[f6,f1]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
    inference(resolution,[],[f5,f4]) ).

fof(f74,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f55]) ).

fof(f55,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f44,f2]) ).

fof(f44,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LCL033-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % 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
% 0.11/0.31  % Computer : n004.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   : Fri May  3 13:22:48 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.11/0.31  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/tmp/tmp.Hnh173Nptq/Vampire---4.8_24598
% 0.59/0.76  % (24709)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.76  % (24707)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 Vampire---4 for (2995ds/34Mi)
% 0.59/0.76  % (24708)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 Vampire---4 for (2995ds/51Mi)
% 0.59/0.76  % (24710)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.76  % (24711)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 Vampire---4 for (2995ds/34Mi)
% 0.59/0.76  % (24712)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.76  % (24713)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 Vampire---4 for (2995ds/83Mi)
% 0.59/0.76  % (24714)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.59/0.76  % (24710)Refutation not found, incomplete strategy% (24710)------------------------------
% 0.59/0.76  % (24710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (24712)Refutation not found, incomplete strategy% (24712)------------------------------
% 0.59/0.76  % (24712)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (24712)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (24712)Memory used [KB]: 956
% 0.59/0.76  % (24712)Time elapsed: 0.002 s
% 0.59/0.76  % (24712)Instructions burned: 2 (million)
% 0.59/0.76  % (24711)Refutation not found, incomplete strategy% (24711)------------------------------
% 0.59/0.76  % (24711)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (24711)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (24711)Memory used [KB]: 960
% 0.59/0.76  % (24711)Time elapsed: 0.002 s
% 0.59/0.76  % (24711)Instructions burned: 2 (million)
% 0.59/0.76  % (24710)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (24710)Memory used [KB]: 946
% 0.59/0.76  % (24713)Refutation not found, incomplete strategy% (24713)------------------------------
% 0.59/0.76  % (24713)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (24710)Time elapsed: 0.002 s
% 0.59/0.76  % (24710)Instructions burned: 2 (million)
% 0.59/0.76  % (24714)Refutation not found, incomplete strategy% (24714)------------------------------
% 0.59/0.76  % (24714)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (24714)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (24714)Memory used [KB]: 956
% 0.59/0.76  % (24714)Time elapsed: 0.002 s
% 0.59/0.76  % (24714)Instructions burned: 2 (million)
% 0.59/0.76  % (24713)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (24713)Memory used [KB]: 959
% 0.59/0.76  % (24713)Time elapsed: 0.002 s
% 0.59/0.76  % (24713)Instructions burned: 2 (million)
% 0.59/0.76  % (24712)------------------------------
% 0.59/0.76  % (24712)------------------------------
% 0.59/0.76  % (24711)------------------------------
% 0.59/0.76  % (24711)------------------------------
% 0.59/0.76  % (24710)------------------------------
% 0.59/0.76  % (24710)------------------------------
% 0.59/0.76  % (24714)------------------------------
% 0.59/0.76  % (24714)------------------------------
% 0.59/0.76  % (24713)------------------------------
% 0.59/0.76  % (24713)------------------------------
% 0.59/0.76  % (24708)First to succeed.
% 0.59/0.76  % (24707)Also succeeded, but the first one will report.
% 0.59/0.76  % (24708)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24706"
% 0.59/0.76  % (24708)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (24708)------------------------------
% 0.59/0.76  % (24708)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (24708)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (24708)Memory used [KB]: 1005
% 0.59/0.76  % (24708)Time elapsed: 0.004 s
% 0.59/0.76  % (24708)Instructions burned: 5 (million)
% 0.59/0.76  % (24706)Success in time 0.442 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------