TSTP Solution File: LCL086-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL086-1 : 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 : n008.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 : Wed May  1 03:10:45 EDT 2024

% Result   : Unsatisfiable 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (   7 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   70 (  34   ~;  32   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   67 (  67   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f189,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f70,f88,f181,f188]) ).

fof(f188,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f182]) ).

fof(f182,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f180,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(implies(a,a)),
    file('/export/starexec/sandbox/tmp/tmp.Sirl428VsI/Vampire---4.8_1691',prove_ic_1) ).

fof(f180,plain,
    ( ! [X1] : is_a_theorem(implies(X1,X1))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl0_5
  <=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f181,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f172,f86,f68,f21,f179]) ).

fof(f21,plain,
    ( spl0_2
  <=> ! [X0] : ~ is_a_theorem(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f68,plain,
    ( spl0_3
  <=> ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f86,plain,
    ( spl0_4
  <=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f172,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,X1)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f156,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.Sirl428VsI/Vampire---4.8_1691',condensed_detachment) ).

fof(f156,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f132,f71]) ).

fof(f71,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0)))
    | ~ spl0_3 ),
    inference(resolution,[],[f69,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
      | is_a_theorem(implies(implies(X3,X0),implies(X2,X0))) ),
    inference(condensation,[],[f5]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
      | ~ is_a_theorem(X4)
      | is_a_theorem(implies(implies(X3,X0),implies(X2,X0))) ),
    inference(resolution,[],[f4,f1]) ).

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

fof(f2,axiom,
    ! [X2,X3,X6,X4,X5] : is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X5)),implies(X6,implies(implies(X5,X2),implies(X4,X2))))),
    file('/export/starexec/sandbox/tmp/tmp.Sirl428VsI/Vampire---4.8_1691',ic_JLukasiewicz_4) ).

fof(f69,plain,
    ( ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f132,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X0))
        | is_a_theorem(implies(X2,X0)) )
    | ~ spl0_4 ),
    inference(resolution,[],[f92,f1]) ).

fof(f92,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
    | ~ spl0_4 ),
    inference(resolution,[],[f87,f6]) ).

fof(f87,plain,
    ( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f88,plain,
    ( spl0_4
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f82,f68,f21,f86]) ).

fof(f82,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(X2,X1))) )
    | ~ spl0_3 ),
    inference(resolution,[],[f75,f1]) ).

fof(f75,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
    | ~ spl0_3 ),
    inference(resolution,[],[f71,f10]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
      | is_a_theorem(implies(X4,implies(X1,X3))) ),
    inference(resolution,[],[f7,f1]) ).

fof(f7,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,[],[f6,f2]) ).

fof(f70,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f64,f21,f68]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
    inference(resolution,[],[f12,f1]) ).

fof(f12,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
    inference(resolution,[],[f10,f7]) ).

fof(f30,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f24]) ).

fof(f24,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f22,f2]) ).

fof(f22,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.15  % 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
% 0.14/0.36  % Computer : n008.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
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 16:39:57 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.14/0.36  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.Sirl428VsI/Vampire---4.8_1691
% 0.58/0.75  % (2084)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 (2996ds/56Mi)
% 0.58/0.75  % (2084)Refutation not found, incomplete strategy% (2084)------------------------------
% 0.58/0.75  % (2084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (2084)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (2084)Memory used [KB]: 958
% 0.58/0.75  % (2084)Time elapsed: 0.001 s
% 0.58/0.75  % (2084)Instructions burned: 2 (million)
% 0.58/0.75  % (2084)------------------------------
% 0.58/0.75  % (2084)------------------------------
% 0.58/0.75  % (2071)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 (2996ds/34Mi)
% 0.58/0.75  % (2075)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (2072)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 (2996ds/51Mi)
% 0.58/0.75  % (2076)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 (2996ds/34Mi)
% 0.58/0.75  % (2074)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (2077)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (2078)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 (2996ds/83Mi)
% 0.58/0.75  % (2077)Refutation not found, incomplete strategy% (2077)------------------------------
% 0.58/0.75  % (2077)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (2076)Refutation not found, incomplete strategy% (2076)------------------------------
% 0.58/0.75  % (2076)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (2076)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (2076)Memory used [KB]: 959
% 0.58/0.75  % (2076)Time elapsed: 0.002 s
% 0.58/0.75  % (2076)Instructions burned: 2 (million)
% 0.58/0.75  % (2076)------------------------------
% 0.58/0.75  % (2076)------------------------------
% 0.58/0.75  % (2077)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (2077)Memory used [KB]: 958
% 0.58/0.75  % (2077)Time elapsed: 0.002 s
% 0.58/0.75  % (2077)Instructions burned: 2 (million)
% 0.58/0.75  % (2077)------------------------------
% 0.58/0.75  % (2077)------------------------------
% 0.58/0.75  % (2086)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 Vampire---4 for (2996ds/55Mi)
% 0.58/0.75  % (2072)First to succeed.
% 0.58/0.75  % (2087)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.75  % (2088)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.75  % (2072)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (2072)------------------------------
% 0.58/0.76  % (2072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (2072)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (2072)Memory used [KB]: 1083
% 0.58/0.76  % (2072)Time elapsed: 0.006 s
% 0.58/0.76  % (2072)Instructions burned: 8 (million)
% 0.58/0.76  % (2072)------------------------------
% 0.58/0.76  % (2072)------------------------------
% 0.58/0.76  % (1960)Success in time 0.386 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------