TSTP Solution File: LCL083-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL083-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% 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 : n022.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 07:33:05 EDT 2024

% Result   : Unsatisfiable 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (   6 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   64 (  33   ~;  29   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   53 (  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f498,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f491,f497]) ).

fof(f497,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f492,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f12,f3]) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    file('/export/starexec/sandbox/tmp/tmp.SPkhonvm5d/Vampire---4.8_25050',ic_1) ).

fof(f12,plain,
    ( ! [X3] : ~ is_a_theorem(X3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl0_1
  <=> ! [X3] : ~ is_a_theorem(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f491,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f481]) ).

fof(f481,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f371,f4]) ).

fof(f4,axiom,
    ~ is_a_theorem(implies(implies(implies(a,b),a),a)),
    file('/export/starexec/sandbox/tmp/tmp.SPkhonvm5d/Vampire---4.8_25050',prove_ic_3) ).

fof(f371,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
    | ~ spl0_2 ),
    inference(resolution,[],[f112,f28]) ).

fof(f28,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X1,X3),X1)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f23,f3]) ).

fof(f23,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(implies(implies(X1,X4),X3))
        | ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X1)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f15,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X0),implies(X3,X0)))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f2,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.SPkhonvm5d/Vampire---4.8_25050',condensed_detachment) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
    file('/export/starexec/sandbox/tmp/tmp.SPkhonvm5d/Vampire---4.8_25050',ic_JLukasiewicz) ).

fof(f15,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(implies(implies(X1,X2),X0)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_2
  <=> ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(implies(implies(X1,X2),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f112,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
    | ~ spl0_2 ),
    inference(resolution,[],[f40,f30]) ).

fof(f30,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X3),implies(implies(X0,X1),implies(X2,X1))))
        | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f22,f6]) ).

fof(f22,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X1,X4),X0)))
        | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f15,f2]) ).

fof(f40,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
    | ~ spl0_2 ),
    inference(resolution,[],[f30,f2]) ).

fof(f16,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f14,f11]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(implies(X1,X2),X0))
      | ~ is_a_theorem(X3)
      | is_a_theorem(X1) ),
    inference(resolution,[],[f7,f1]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X3,X0))
      | ~ is_a_theorem(implies(X2,X0))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f6,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LCL083-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.12/0.15  % 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 : n022.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   : Fri May  3 13:55:57 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.SPkhonvm5d/Vampire---4.8_25050
% 0.54/0.75  % (25165)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)
% 0.54/0.75  % (25165)Refutation not found, incomplete strategy% (25165)------------------------------
% 0.54/0.75  % (25165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (25165)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (25165)Memory used [KB]: 959
% 0.54/0.75  % (25165)Time elapsed: 0.001 s
% 0.54/0.75  % (25165)Instructions burned: 2 (million)
% 0.54/0.75  % (25165)------------------------------
% 0.54/0.75  % (25165)------------------------------
% 0.54/0.75  % (25158)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)
% 0.54/0.75  % (25160)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (25162)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)
% 0.54/0.75  % (25159)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)
% 0.54/0.75  % (25163)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)
% 0.54/0.75  % (25161)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)
% 0.54/0.75  % (25164)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)
% 0.54/0.75  % (25163)Refutation not found, incomplete strategy% (25163)------------------------------
% 0.54/0.75  % (25163)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (25162)Refutation not found, incomplete strategy% (25162)------------------------------
% 0.54/0.75  % (25162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (25162)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (25162)Memory used [KB]: 960
% 0.54/0.75  % (25162)Time elapsed: 0.002 s
% 0.54/0.75  % (25162)Instructions burned: 2 (million)
% 0.54/0.75  % (25163)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (25163)Memory used [KB]: 959
% 0.54/0.75  % (25163)Time elapsed: 0.002 s
% 0.54/0.75  % (25163)Instructions burned: 2 (million)
% 0.54/0.75  % (25162)------------------------------
% 0.54/0.75  % (25162)------------------------------
% 0.54/0.75  % (25163)------------------------------
% 0.54/0.75  % (25163)------------------------------
% 0.54/0.75  % (25166)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)
% 0.54/0.75  % (25167)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)
% 0.54/0.75  % (25168)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)
% 0.59/0.77  % (25161)Instruction limit reached!
% 0.59/0.77  % (25161)------------------------------
% 0.59/0.77  % (25161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (25161)Termination reason: Unknown
% 0.59/0.77  % (25161)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (25161)Memory used [KB]: 1206
% 0.59/0.77  % (25161)Time elapsed: 0.020 s
% 0.59/0.77  % (25161)Instructions burned: 33 (million)
% 0.59/0.77  % (25161)------------------------------
% 0.59/0.77  % (25161)------------------------------
% 0.59/0.77  % (25158)Instruction limit reached!
% 0.59/0.77  % (25158)------------------------------
% 0.59/0.77  % (25158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (25158)Termination reason: Unknown
% 0.59/0.77  % (25158)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (25158)Memory used [KB]: 1197
% 0.59/0.77  % (25158)Time elapsed: 0.021 s
% 0.59/0.77  % (25158)Instructions burned: 35 (million)
% 0.59/0.77  % (25158)------------------------------
% 0.59/0.77  % (25158)------------------------------
% 0.59/0.77  % (25166)Instruction limit reached!
% 0.59/0.77  % (25166)------------------------------
% 0.59/0.77  % (25166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (25166)Termination reason: Unknown
% 0.59/0.77  % (25166)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (25166)Memory used [KB]: 1484
% 0.59/0.77  % (25166)Time elapsed: 0.018 s
% 0.59/0.77  % (25166)Instructions burned: 57 (million)
% 0.59/0.77  % (25166)------------------------------
% 0.59/0.77  % (25166)------------------------------
% 0.59/0.77  % (25170)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 (2996ds/518Mi)
% 0.59/0.77  % (25170)Refutation not found, incomplete strategy% (25170)------------------------------
% 0.59/0.77  % (25170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (25170)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (25170)Memory used [KB]: 959
% 0.59/0.77  % (25170)Time elapsed: 0.001 s
% 0.59/0.77  % (25170)Instructions burned: 2 (million)
% 0.59/0.77  % (25169)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 (2996ds/52Mi)
% 0.59/0.77  % (25170)------------------------------
% 0.59/0.77  % (25170)------------------------------
% 0.59/0.77  % (25171)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.77  % (25171)Refutation not found, incomplete strategy% (25171)------------------------------
% 0.59/0.77  % (25171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (25171)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (25171)Memory used [KB]: 959
% 0.59/0.77  % (25171)Time elapsed: 0.002 s
% 0.59/0.77  % (25171)Instructions burned: 2 (million)
% 0.59/0.77  % (25171)------------------------------
% 0.59/0.77  % (25171)------------------------------
% 0.59/0.77  % (25172)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.59/0.77  % (25159)Instruction limit reached!
% 0.59/0.77  % (25159)------------------------------
% 0.59/0.77  % (25159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (25159)Termination reason: Unknown
% 0.59/0.77  % (25159)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (25159)Memory used [KB]: 1326
% 0.59/0.77  % (25159)Time elapsed: 0.028 s
% 0.59/0.77  % (25159)Instructions burned: 52 (million)
% 0.59/0.77  % (25159)------------------------------
% 0.59/0.77  % (25159)------------------------------
% 0.59/0.78  % (25173)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.59/0.78  % (25174)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.59/0.78  % (25167)Instruction limit reached!
% 0.59/0.78  % (25167)------------------------------
% 0.59/0.78  % (25167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25167)Termination reason: Unknown
% 0.59/0.78  % (25167)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (25167)Memory used [KB]: 1602
% 0.59/0.78  % (25167)Time elapsed: 0.029 s
% 0.59/0.78  % (25167)Instructions burned: 51 (million)
% 0.59/0.78  % (25167)------------------------------
% 0.59/0.78  % (25167)------------------------------
% 0.59/0.79  % (25175)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.59/0.79  % (25160)Instruction limit reached!
% 0.59/0.79  % (25160)------------------------------
% 0.59/0.79  % (25160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25160)Termination reason: Unknown
% 0.59/0.79  % (25160)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (25160)Memory used [KB]: 1387
% 0.59/0.79  % (25160)Time elapsed: 0.045 s
% 0.59/0.79  % (25160)Instructions burned: 78 (million)
% 0.59/0.79  % (25160)------------------------------
% 0.59/0.79  % (25160)------------------------------
% 0.59/0.79  % (25164)Instruction limit reached!
% 0.59/0.79  % (25164)------------------------------
% 0.59/0.79  % (25164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25164)Termination reason: Unknown
% 0.59/0.79  % (25164)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (25164)Memory used [KB]: 1938
% 0.59/0.79  % (25164)Time elapsed: 0.046 s
% 0.59/0.79  % (25164)Instructions burned: 84 (million)
% 0.59/0.79  % (25164)------------------------------
% 0.59/0.79  % (25164)------------------------------
% 0.59/0.80  % (25169)First to succeed.
% 0.59/0.80  % (25176)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.59/0.80  % (25169)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25157"
% 0.59/0.80  % (25169)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (25169)------------------------------
% 0.59/0.80  % (25169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (25169)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (25169)Memory used [KB]: 1184
% 0.59/0.80  % (25169)Time elapsed: 0.027 s
% 0.59/0.80  % (25169)Instructions burned: 43 (million)
% 0.59/0.80  % (25157)Success in time 0.423 s
% 0.59/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------