TSTP Solution File: LCL112-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL112-1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.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 : Tue May 21 00:12:28 EDT 2024

% Result   : Unsatisfiable 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  19 unt;   0 def)
%            Number of atoms       :   50 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  23   ~;  16   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1203,plain,
    $false,
    inference(avatar_sat_refutation,[],[f614,f1195]) ).

fof(f1195,plain,
    spl3_30,
    inference(avatar_split_clause,[],[f1194,f543]) ).

fof(f543,plain,
    ( spl3_30
  <=> ! [X1] : ~ is_a_theorem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f1194,plain,
    ! [X0] : ~ is_a_theorem(X0),
    inference(subsumption_resolution,[],[f1185,f30]) ).

fof(f30,plain,
    ~ is_a_theorem(implies(not(sF1),sF0)),
    inference(subsumption_resolution,[],[f29,f10]) ).

fof(f10,plain,
    ~ is_a_theorem(sF2),
    inference(definition_folding,[],[f6,f9,f8,f7]) ).

fof(f7,plain,
    not(a) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f8,plain,
    not(sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f9,plain,
    implies(a,sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f6,axiom,
    ~ is_a_theorem(implies(a,not(not(a)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_29) ).

fof(f29,plain,
    ( ~ is_a_theorem(implies(not(sF1),sF0))
    | is_a_theorem(sF2) ),
    inference(resolution,[],[f22,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f22,plain,
    is_a_theorem(implies(implies(not(sF1),sF0),sF2)),
    inference(forward_demodulation,[],[f21,f7]) ).

fof(f21,plain,
    is_a_theorem(implies(implies(not(sF1),not(a)),sF2)),
    inference(superposition,[],[f5,f9]) ).

fof(f5,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).

fof(f1185,plain,
    ! [X0] :
      ( is_a_theorem(implies(not(sF1),sF0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1079,f218]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f159,f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f32,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X1))
      | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f25,f1]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_2) ).

fof(f1079,plain,
    ! [X0] : is_a_theorem(implies(not(sF1),implies(X0,sF0))),
    inference(resolution,[],[f808,f212]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(sF1,not(X1))))
      | is_a_theorem(implies(X0,implies(X1,sF0))) ),
    inference(resolution,[],[f159,f18]) ).

fof(f18,plain,
    ! [X0] : is_a_theorem(implies(implies(sF1,not(X0)),implies(X0,sF0))),
    inference(superposition,[],[f5,f8]) ).

fof(f808,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f204,f2]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
      | is_a_theorem(implies(X0,implies(X2,X1))) ),
    inference(resolution,[],[f159,f5]) ).

fof(f614,plain,
    ~ spl3_30,
    inference(avatar_contradiction_clause,[],[f550]) ).

fof(f550,plain,
    ( $false
    | ~ spl3_30 ),
    inference(resolution,[],[f544,f2]) ).

fof(f544,plain,
    ( ! [X1] : ~ is_a_theorem(X1)
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f543]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : LCL112-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n014.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 00:51:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.77  % (16987)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.77  % (16980)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.77  % (16981)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 theBenchmark for (2996ds/51Mi)
% 0.54/0.77  % (16987)Refutation not found, incomplete strategy% (16987)------------------------------
% 0.54/0.77  % (16987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (16987)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (16987)Memory used [KB]: 959
% 0.54/0.77  % (16987)Time elapsed: 0.002 s
% 0.54/0.77  % (16987)Instructions burned: 2 (million)
% 0.54/0.77  % (16987)------------------------------
% 0.54/0.77  % (16987)------------------------------
% 0.54/0.78  % (16985)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.78  % (16986)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 theBenchmark for (2996ds/83Mi)
% 0.54/0.78  % (16985)Refutation not found, incomplete strategy% (16985)------------------------------
% 0.54/0.78  % (16985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.78  % (16985)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.78  
% 0.54/0.78  % (16985)Memory used [KB]: 959
% 0.54/0.78  % (16985)Time elapsed: 0.002 s
% 0.54/0.78  % (16985)Instructions burned: 2 (million)
% 0.54/0.78  % (16985)------------------------------
% 0.54/0.78  % (16985)------------------------------
% 0.54/0.78  % (16982)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.78  % (16988)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 theBenchmark for (2996ds/55Mi)
% 0.60/0.78  % (16989)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 theBenchmark for (2996ds/50Mi)
% 0.60/0.78  % (16984)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 theBenchmark for (2996ds/34Mi)
% 0.60/0.78  % (16984)Refutation not found, incomplete strategy% (16984)------------------------------
% 0.60/0.78  % (16984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (16984)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (16984)Memory used [KB]: 960
% 0.60/0.78  % (16984)Time elapsed: 0.002 s
% 0.60/0.78  % (16984)Instructions burned: 2 (million)
% 0.60/0.78  % (16984)------------------------------
% 0.60/0.78  % (16984)------------------------------
% 0.60/0.78  % (16990)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.60/0.79  % (16983)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.60/0.80  % (16980)Instruction limit reached!
% 0.60/0.80  % (16980)------------------------------
% 0.60/0.80  % (16980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (16980)Termination reason: Unknown
% 0.60/0.80  % (16980)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (16980)Memory used [KB]: 1141
% 0.60/0.80  % (16980)Time elapsed: 0.022 s
% 0.60/0.80  % (16980)Instructions burned: 34 (million)
% 0.60/0.80  % (16980)------------------------------
% 0.60/0.80  % (16980)------------------------------
% 0.60/0.80  % (16991)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 theBenchmark for (2995ds/52Mi)
% 0.60/0.80  % (16986)Instruction limit reached!
% 0.60/0.80  % (16986)------------------------------
% 0.60/0.80  % (16986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (16986)Termination reason: Unknown
% 0.60/0.80  % (16986)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (16986)Memory used [KB]: 2222
% 0.60/0.80  % (16986)Time elapsed: 0.028 s
% 0.60/0.80  % (16986)Instructions burned: 84 (million)
% 0.60/0.80  % (16986)------------------------------
% 0.60/0.80  % (16986)------------------------------
% 0.60/0.80  % (16983)Instruction limit reached!
% 0.60/0.80  % (16983)------------------------------
% 0.60/0.80  % (16983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (16983)Termination reason: Unknown
% 0.60/0.80  % (16983)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (16983)Memory used [KB]: 1293
% 0.60/0.81  % (16988)Instruction limit reached!
% 0.60/0.81  % (16988)------------------------------
% 0.60/0.81  % (16988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (16988)Termination reason: Unknown
% 0.60/0.81  % (16988)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (16988)Memory used [KB]: 1776
% 0.60/0.81  % (16988)Time elapsed: 0.028 s
% 0.60/0.81  % (16988)Instructions burned: 56 (million)
% 0.60/0.81  % (16988)------------------------------
% 0.60/0.81  % (16988)------------------------------
% 0.60/0.81  % (16983)Time elapsed: 0.045 s
% 0.60/0.81  % (16983)Instructions burned: 33 (million)
% 0.60/0.81  % (16983)------------------------------
% 0.60/0.81  % (16983)------------------------------
% 0.60/0.81  % (16992)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 theBenchmark for (2995ds/518Mi)
% 0.60/0.81  % (16989)Instruction limit reached!
% 0.60/0.81  % (16989)------------------------------
% 0.60/0.81  % (16989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (16989)Termination reason: Unknown
% 0.60/0.81  % (16989)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (16989)Memory used [KB]: 1439
% 0.60/0.81  % (16989)Time elapsed: 0.027 s
% 0.60/0.81  % (16989)Instructions burned: 51 (million)
% 0.60/0.81  % (16989)------------------------------
% 0.60/0.81  % (16989)------------------------------
% 0.60/0.81  % (16992)Refutation not found, incomplete strategy% (16992)------------------------------
% 0.60/0.81  % (16992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (16992)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (16992)Memory used [KB]: 961
% 0.60/0.81  % (16992)Time elapsed: 0.001 s
% 0.60/0.81  % (16992)Instructions burned: 2 (million)
% 0.60/0.81  % (16992)------------------------------
% 0.60/0.81  % (16992)------------------------------
% 0.60/0.81  % (16996)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 theBenchmark for (2995ds/143Mi)
% 0.60/0.81  % (16995)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.60/0.81  % (16993)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 theBenchmark for (2995ds/42Mi)
% 0.60/0.81  % (16993)Refutation not found, incomplete strategy% (16993)------------------------------
% 0.60/0.81  % (16993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (16993)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (16993)Memory used [KB]: 959
% 0.60/0.81  % (16993)Time elapsed: 0.003 s
% 0.60/0.81  % (16993)Instructions burned: 2 (million)
% 0.60/0.81  % (16993)------------------------------
% 0.60/0.81  % (16993)------------------------------
% 0.60/0.81  % (16994)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 theBenchmark for (2995ds/243Mi)
% 0.60/0.81  % (16990)First to succeed.
% 0.60/0.82  % (16990)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16978"
% 0.60/0.82  % (16990)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.82  % (16990)------------------------------
% 0.60/0.82  % (16990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (16990)Termination reason: Refutation
% 0.60/0.82  
% 0.60/0.82  % (16990)Memory used [KB]: 1348
% 0.60/0.82  % (16990)Time elapsed: 0.032 s
% 0.60/0.82  % (16990)Instructions burned: 54 (million)
% 0.60/0.82  % (16978)Success in time 0.423 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------