TSTP Solution File: LCL451+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL451+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n018.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 07:35:49 EDT 2024

% Result   : Theorem 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  12   ~;   5   |;   0   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (  21   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f151,plain,
    $false,
    inference(subsumption_resolution,[],[f149,f134]) ).

fof(f134,plain,
    implies_3,
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    implies_3,
    file('/export/starexec/sandbox/tmp/tmp.khP7BTQ8e9/Vampire---4.8_4625',hilbert_implies_3) ).

fof(f149,plain,
    ~ implies_3,
    inference(resolution,[],[f148,f113]) ).

fof(f113,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
      | ~ implies_3 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
    | ~ implies_3 ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ( implies_3
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    inference(unused_predicate_definition_removal,[],[f6]) ).

fof(f6,axiom,
    ( implies_3
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    file('/export/starexec/sandbox/tmp/tmp.khP7BTQ8e9/Vampire---4.8_4625',implies_3) ).

fof(f148,plain,
    ~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))),
    inference(subsumption_resolution,[],[f123,f147]) ).

fof(f147,plain,
    ~ cn1,
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ~ cn1,
    inference(flattening,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ cn1,
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    cn1,
    file('/export/starexec/sandbox/tmp/tmp.khP7BTQ8e9/Vampire---4.8_4625',luka_cn1) ).

fof(f123,plain,
    ( cn1
    | ~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( cn1
    | ~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f102,f106]) ).

fof(f106,plain,
    ( ? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
   => ~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ( cn1
    | ? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
   => cn1 ),
    inference(unused_predicate_definition_removal,[],[f58]) ).

fof(f58,plain,
    ( cn1
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ( cn1
  <=> ! [X3,X4,X5] : is_a_theorem(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5)))) ),
    file('/export/starexec/sandbox/tmp/tmp.khP7BTQ8e9/Vampire---4.8_4625',cn1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LCL451+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 13:39:16 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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.khP7BTQ8e9/Vampire---4.8_4625
% 0.55/0.75  % (5081)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)
% 0.55/0.75  % (5081)Refutation not found, incomplete strategy% (5081)------------------------------
% 0.55/0.75  % (5081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (5081)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (5081)Memory used [KB]: 986
% 0.55/0.75  % (5081)Time elapsed: 0.001 s
% 0.55/0.75  % (5081)Instructions burned: 2 (million)
% 0.55/0.75  % (5081)------------------------------
% 0.55/0.75  % (5081)------------------------------
% 0.55/0.76  % (5074)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)
% 0.55/0.76  % (5076)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (5075)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)
% 0.55/0.76  % (5078)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)
% 0.55/0.76  % (5079)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)
% 0.55/0.76  % (5077)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)
% 0.55/0.76  % (5080)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)
% 0.55/0.76  % (5074)Refutation not found, incomplete strategy% (5074)------------------------------
% 0.55/0.76  % (5074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (5076)Refutation not found, incomplete strategy% (5076)------------------------------
% 0.55/0.76  % (5076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (5076)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (5076)Memory used [KB]: 985
% 0.55/0.76  % (5076)Time elapsed: 0.002 s
% 0.55/0.76  % (5076)Instructions burned: 2 (million)
% 0.55/0.76  % (5074)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (5074)Memory used [KB]: 986
% 0.55/0.76  % (5079)Refutation not found, incomplete strategy% (5079)------------------------------
% 0.55/0.76  % (5079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (5074)Time elapsed: 0.002 s
% 0.55/0.76  % (5074)Instructions burned: 2 (million)
% 0.55/0.76  % (5079)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (5079)Memory used [KB]: 986
% 0.55/0.76  % (5079)Time elapsed: 0.002 s
% 0.55/0.76  % (5077)Refutation not found, incomplete strategy% (5077)------------------------------
% 0.55/0.76  % (5077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (5077)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (5077)Memory used [KB]: 986
% 0.55/0.76  % (5077)Time elapsed: 0.002 s
% 0.55/0.76  % (5077)Instructions burned: 2 (million)
% 0.55/0.76  % (5079)Instructions burned: 2 (million)
% 0.55/0.76  % (5076)------------------------------
% 0.55/0.76  % (5076)------------------------------
% 0.55/0.76  % (5074)------------------------------
% 0.55/0.76  % (5074)------------------------------
% 0.55/0.76  % (5080)Refutation not found, incomplete strategy% (5080)------------------------------
% 0.55/0.76  % (5080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (5080)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (5080)Memory used [KB]: 986
% 0.55/0.76  % (5080)Time elapsed: 0.002 s
% 0.55/0.76  % (5080)Instructions burned: 2 (million)
% 0.55/0.76  % (5077)------------------------------
% 0.55/0.76  % (5077)------------------------------
% 0.55/0.76  % (5079)------------------------------
% 0.55/0.76  % (5079)------------------------------
% 0.55/0.76  % (5080)------------------------------
% 0.55/0.76  % (5080)------------------------------
% 0.61/0.76  % (5078)Refutation not found, incomplete strategy% (5078)------------------------------
% 0.61/0.76  % (5078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5078)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5078)Memory used [KB]: 1072
% 0.61/0.76  % (5078)Time elapsed: 0.003 s
% 0.61/0.76  % (5078)Instructions burned: 3 (million)
% 0.61/0.76  % (5084)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)
% 0.61/0.76  % (5078)------------------------------
% 0.61/0.76  % (5078)------------------------------
% 0.61/0.76  % (5084)Refutation not found, incomplete strategy% (5084)------------------------------
% 0.61/0.76  % (5084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5084)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5084)Memory used [KB]: 1064
% 0.61/0.76  % (5084)Time elapsed: 0.002 s
% 0.61/0.76  % (5084)Instructions burned: 3 (million)
% 0.61/0.76  % (5084)------------------------------
% 0.61/0.76  % (5084)------------------------------
% 0.61/0.76  % (5087)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)
% 0.61/0.76  % (5086)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)
% 0.61/0.76  % (5088)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)
% 0.61/0.76  % (5089)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)
% 0.61/0.76  % (5090)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)
% 0.61/0.76  % (5087)Refutation not found, incomplete strategy% (5087)------------------------------
% 0.61/0.76  % (5087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5087)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  % (5093)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 (2996ds/117Mi)
% 0.61/0.76  
% 0.61/0.76  % (5087)Memory used [KB]: 986
% 0.61/0.76  % (5087)Time elapsed: 0.003 s
% 0.61/0.76  % (5087)Instructions burned: 2 (million)
% 0.61/0.76  % (5088)Refutation not found, incomplete strategy% (5088)------------------------------
% 0.61/0.76  % (5088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5089)Refutation not found, incomplete strategy% (5089)------------------------------
% 0.61/0.76  % (5089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5088)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5088)Memory used [KB]: 986
% 0.61/0.76  % (5088)Time elapsed: 0.002 s
% 0.61/0.76  % (5088)Instructions burned: 2 (million)
% 0.61/0.76  % (5089)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5089)Memory used [KB]: 986
% 0.61/0.76  % (5089)Time elapsed: 0.003 s
% 0.61/0.76  % (5089)Instructions burned: 2 (million)
% 0.61/0.76  % (5087)------------------------------
% 0.61/0.76  % (5087)------------------------------
% 0.61/0.76  % (5088)------------------------------
% 0.61/0.76  % (5088)------------------------------
% 0.61/0.76  % (5093)Refutation not found, incomplete strategy% (5093)------------------------------
% 0.61/0.76  % (5093)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5093)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  % (5091)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)
% 0.61/0.76  
% 0.61/0.76  % (5093)Memory used [KB]: 991
% 0.61/0.76  % (5093)Time elapsed: 0.001 s
% 0.61/0.76  % (5093)Instructions burned: 2 (million)
% 0.61/0.76  % (5089)------------------------------
% 0.61/0.76  % (5089)------------------------------
% 0.61/0.76  % (5093)------------------------------
% 0.61/0.76  % (5093)------------------------------
% 0.61/0.76  % (5086)First to succeed.
% 0.61/0.76  % (5091)Refutation not found, incomplete strategy% (5091)------------------------------
% 0.61/0.76  % (5091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5090)Refutation not found, incomplete strategy% (5090)------------------------------
% 0.61/0.76  % (5090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5091)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5091)Memory used [KB]: 987
% 0.61/0.76  % (5091)Time elapsed: 0.002 s
% 0.61/0.76  % (5091)Instructions burned: 2 (million)
% 0.61/0.76  % (5090)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5090)Memory used [KB]: 1073
% 0.61/0.76  % (5090)Time elapsed: 0.003 s
% 0.61/0.76  % (5090)Instructions burned: 3 (million)
% 0.61/0.76  % (5086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4925"
% 0.61/0.76  % (5091)------------------------------
% 0.61/0.76  % (5091)------------------------------
% 0.61/0.76  % (5090)------------------------------
% 0.61/0.76  % (5090)------------------------------
% 0.61/0.76  % (5086)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Theorem for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (5086)------------------------------
% 0.61/0.76  % (5086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (5086)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (5086)Memory used [KB]: 1091
% 0.61/0.76  % (5086)Time elapsed: 0.003 s
% 0.61/0.76  % (5086)Instructions burned: 4 (million)
% 0.61/0.76  % (4925)Success in time 0.385 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------