TSTP Solution File: LCL311-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% 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 : Sun May  5 07:34:48 EDT 2024

% Result   : Unsatisfiable 0.67s 0.85s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   37 (  22 unt;   0 def)
%            Number of atoms       :   56 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  19   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f237,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f228,f236]) ).

fof(f236,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f231]) ).

fof(f231,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f219,f20]) ).

fof(f20,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f13,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',rule_1) ).

fof(f13,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',implies_definition) ).

fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',axiom_1_2) ).

fof(f219,plain,
    ( ~ theorem(or(not(or(not(p),not(p))),not(p)))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl0_6
  <=> theorem(or(not(or(not(p),not(p))),not(p))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f228,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f221]) ).

fof(f221,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f215,f21]) ).

fof(f21,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f14,f7]) ).

fof(f14,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',axiom_1_3) ).

fof(f215,plain,
    ( ~ theorem(or(not(not(p)),or(not(p),not(p))))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl0_5
  <=> theorem(or(not(not(p)),or(not(p),not(p)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f220,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f210,f217,f213]) ).

fof(f210,plain,
    ( ~ theorem(or(not(or(not(p),not(p))),not(p)))
    | ~ theorem(or(not(not(p)),or(not(p),not(p)))) ),
    inference(resolution,[],[f112,f19]) ).

fof(f19,plain,
    ~ theorem(not(or(not(or(not(or(not(p),not(p))),not(p))),not(or(not(not(p)),or(not(p),not(p))))))),
    inference(definition_unfolding,[],[f11,f12,f6]) ).

fof(f12,plain,
    ! [X6,X5] : equivalent(X5,X6) = not(or(not(or(not(X5),X6)),not(or(not(X6),X5)))),
    inference(definition_unfolding,[],[f10,f9,f6,f6]) ).

fof(f9,axiom,
    ! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',and_defn) ).

fof(f10,axiom,
    ! [X6,X5] : equivalent(X5,X6) = and(implies(X5,X6),implies(X6,X5)),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',equivalent_defn) ).

fof(f11,axiom,
    ~ theorem(equivalent(implies(p,not(p)),not(p))),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',prove_this) ).

fof(f112,plain,
    ! [X0,X1] :
      ( theorem(not(or(not(X0),not(X1))))
      | ~ theorem(X0)
      | ~ theorem(X1) ),
    inference(resolution,[],[f108,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( theorem(or(not(or(X1,not(X0))),X1))
      | ~ theorem(X0) ),
    inference(resolution,[],[f52,f18]) ).

fof(f18,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | ~ theorem(implies(X4,X3))
      | theorem(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',rule_2) ).

fof(f52,plain,
    ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
    inference(resolution,[],[f50,f22]) ).

fof(f22,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f15,f7]) ).

fof(f15,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',axiom_1_4) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X1,X2)))
      | theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f49,f18]) ).

fof(f49,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f16,f7]) ).

fof(f16,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/tmp/tmp.ZqbkJtRuhS/Vampire---4.8_10567',axiom_1_5) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,not(X0)))
      | ~ theorem(X0)
      | theorem(X1) ),
    inference(resolution,[],[f87,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% 0.08/0.15  % 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
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 14:04:52 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.36  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.ZqbkJtRuhS/Vampire---4.8_10567
% 0.60/0.84  % (10895)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.84  % (10896)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)
% 0.60/0.84  % (10897)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)
% 0.60/0.84  % (10893)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)
% 0.60/0.84  % (10894)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)
% 0.60/0.84  % (10898)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)
% 0.60/0.84  % (10899)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)
% 0.60/0.84  % (10900)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)
% 0.67/0.84  % (10896)Refutation not found, incomplete strategy% (10896)------------------------------
% 0.67/0.84  % (10896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (10897)Refutation not found, incomplete strategy% (10897)------------------------------
% 0.67/0.84  % (10897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (10898)Refutation not found, incomplete strategy% (10898)------------------------------
% 0.67/0.84  % (10898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (10897)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84  % (10898)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84  
% 0.67/0.84  
% 0.67/0.84  % (10898)Memory used [KB]: 978
% 0.67/0.84  % (10897)Memory used [KB]: 978
% 0.67/0.84  % (10898)Time elapsed: 0.003 s
% 0.67/0.84  % (10897)Time elapsed: 0.003 s
% 0.67/0.84  % (10897)Instructions burned: 2 (million)
% 0.67/0.84  % (10898)Instructions burned: 2 (million)
% 0.67/0.84  % (10900)Refutation not found, incomplete strategy% (10900)------------------------------
% 0.67/0.84  % (10900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (10899)Refutation not found, incomplete strategy% (10899)------------------------------
% 0.67/0.84  % (10899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (10900)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84  
% 0.67/0.84  % (10900)Memory used [KB]: 978
% 0.67/0.84  % (10899)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84  
% 0.67/0.84  % (10900)Time elapsed: 0.002 s
% 0.67/0.84  % (10899)Memory used [KB]: 979
% 0.67/0.84  % (10899)Time elapsed: 0.003 s
% 0.67/0.84  % (10900)Instructions burned: 2 (million)
% 0.67/0.84  % (10899)Instructions burned: 2 (million)
% 0.67/0.84  % (10896)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84  
% 0.67/0.84  % (10896)Memory used [KB]: 975
% 0.67/0.84  % (10896)Time elapsed: 0.003 s
% 0.67/0.84  % (10896)Instructions burned: 2 (million)
% 0.67/0.84  % (10900)------------------------------
% 0.67/0.84  % (10900)------------------------------
% 0.67/0.84  % (10899)------------------------------
% 0.67/0.84  % (10899)------------------------------
% 0.67/0.84  % (10898)------------------------------
% 0.67/0.84  % (10898)------------------------------
% 0.67/0.84  % (10897)------------------------------
% 0.67/0.84  % (10897)------------------------------
% 0.67/0.84  % (10896)------------------------------
% 0.67/0.84  % (10896)------------------------------
% 0.67/0.84  % (10901)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 (2995ds/55Mi)
% 0.67/0.84  % (10903)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 (2995ds/208Mi)
% 0.67/0.84  % (10902)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 (2995ds/50Mi)
% 0.67/0.84  % (10904)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.67/0.84  % (10894)First to succeed.
% 0.67/0.84  % (10905)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.67/0.84  % (10901)Refutation not found, incomplete strategy% (10901)------------------------------
% 0.67/0.84  % (10901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (10901)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84  
% 0.67/0.84  % (10901)Memory used [KB]: 976
% 0.67/0.84  % (10901)Time elapsed: 0.002 s
% 0.67/0.84  % (10901)Instructions burned: 2 (million)
% 0.67/0.84  % (10894)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10800"
% 0.67/0.84  % (10901)------------------------------
% 0.67/0.84  % (10901)------------------------------
% 0.67/0.84  % (10905)Refutation not found, incomplete strategy% (10905)------------------------------
% 0.67/0.84  % (10905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (10905)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84  
% 0.67/0.84  % (10905)Memory used [KB]: 978
% 0.67/0.84  % (10905)Time elapsed: 0.003 s
% 0.67/0.84  % (10905)Instructions burned: 2 (million)
% 0.67/0.85  % (10905)------------------------------
% 0.67/0.85  % (10905)------------------------------
% 0.67/0.85  % (10894)Refutation found. Thanks to Tanya!
% 0.67/0.85  % SZS status Unsatisfiable for Vampire---4
% 0.67/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.85  % (10894)------------------------------
% 0.67/0.85  % (10894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85  % (10894)Termination reason: Refutation
% 0.67/0.85  
% 0.67/0.85  % (10894)Memory used [KB]: 1106
% 0.67/0.85  % (10894)Time elapsed: 0.008 s
% 0.67/0.85  % (10894)Instructions burned: 9 (million)
% 0.67/0.85  % (10800)Success in time 0.483 s
% 0.67/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------