TSTP Solution File: HWC001-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HWC001-1 : TPTP v8.1.2. Bugfixed v1.1.1.
% 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 : n003.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 06:12:01 EDT 2024

% Result   : Unsatisfiable 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (  28 unt;   0 def)
%            Number of atoms       :   34 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f169,plain,
    $false,
    inference(subsumption_resolution,[],[f168,f9]) ).

fof(f9,axiom,
    ~ output(n0,n1,n1,n1),
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',prove_cannot_make_or) ).

fof(f168,plain,
    output(n0,n1,n1,n1),
    inference(forward_demodulation,[],[f167,f5]) ).

fof(f5,axiom,
    n0 = not(n1),
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',not_definition2) ).

fof(f167,plain,
    output(not(n1),n1,n1,n1),
    inference(forward_demodulation,[],[f166,f3]) ).

fof(f3,axiom,
    ! [X0] : and(X0,n1) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',and_definition2) ).

fof(f166,plain,
    output(not(and(n1,n1)),n1,n1,n1),
    inference(forward_demodulation,[],[f165,f4]) ).

fof(f4,axiom,
    n1 = not(n0),
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',not_definition1) ).

fof(f165,plain,
    output(not(and(n1,n1)),not(n0),n1,n1),
    inference(forward_demodulation,[],[f164,f3]) ).

fof(f164,plain,
    output(not(and(n1,n1)),not(and(n0,n1)),n1,n1),
    inference(forward_demodulation,[],[f163,f4]) ).

fof(f163,plain,
    output(not(and(n1,n1)),not(and(n0,n1)),not(n0),n1),
    inference(forward_demodulation,[],[f162,f2]) ).

fof(f2,axiom,
    ! [X0] : n0 = and(X0,n0),
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',and_definition1) ).

fof(f162,plain,
    output(not(and(n1,n1)),not(and(n0,n1)),not(and(n1,n0)),n1),
    inference(forward_demodulation,[],[f161,f4]) ).

fof(f161,plain,
    output(not(and(n1,n1)),not(and(n0,n1)),not(and(n1,n0)),not(n0)),
    inference(forward_demodulation,[],[f148,f2]) ).

fof(f148,plain,
    output(not(and(n1,n1)),not(and(n0,n1)),not(and(n1,n0)),not(and(n0,n0))),
    inference(unit_resulting_resolution,[],[f26,f46,f10]) ).

fof(f10,plain,
    ! [X2,X3,X8,X6,X9,X7,X4,X5] :
      ( output(not(and(X2,X6)),not(and(X3,X7)),not(and(X4,X8)),not(and(X5,X9)))
      | ~ output(X6,X7,X8,X9)
      | ~ output(X2,X3,X4,X5) ),
    inference(definition_unfolding,[],[f6,f1,f1,f1,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : nand(X0,X1) = not(and(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',nand_definition) ).

fof(f6,axiom,
    ! [X2,X3,X8,X6,X9,X7,X4,X5] :
      ( output(nand(X2,X6),nand(X3,X7),nand(X4,X8),nand(X5,X9))
      | ~ output(X6,X7,X8,X9)
      | ~ output(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',nand_table_definition) ).

fof(f46,plain,
    output(n1,n1,n0,n0),
    inference(forward_demodulation,[],[f45,f4]) ).

fof(f45,plain,
    output(not(n0),not(n0),n0,n0),
    inference(forward_demodulation,[],[f44,f2]) ).

fof(f44,plain,
    output(not(and(n0,n0)),not(and(n0,n0)),n0,n0),
    inference(forward_demodulation,[],[f43,f5]) ).

fof(f43,plain,
    output(not(and(n0,n0)),not(and(n0,n0)),not(n1),not(n1)),
    inference(forward_demodulation,[],[f11,f3]) ).

fof(f11,plain,
    output(not(and(n0,n0)),not(and(n0,n0)),not(and(n1,n1)),not(and(n1,n1))),
    inference(unit_resulting_resolution,[],[f7,f7,f10]) ).

fof(f7,axiom,
    output(n0,n0,n1,n1),
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',input1) ).

fof(f26,plain,
    output(n1,n0,n1,n0),
    inference(forward_demodulation,[],[f25,f4]) ).

fof(f25,plain,
    output(not(n0),n0,not(n0),n0),
    inference(forward_demodulation,[],[f24,f2]) ).

fof(f24,plain,
    output(not(and(n0,n0)),n0,not(and(n0,n0)),n0),
    inference(forward_demodulation,[],[f23,f5]) ).

fof(f23,plain,
    output(not(and(n0,n0)),not(n1),not(and(n0,n0)),not(n1)),
    inference(forward_demodulation,[],[f14,f3]) ).

fof(f14,plain,
    output(not(and(n0,n0)),not(and(n1,n1)),not(and(n0,n0)),not(and(n1,n1))),
    inference(unit_resulting_resolution,[],[f8,f8,f10]) ).

fof(f8,axiom,
    output(n0,n1,n0,n1),
    file('/export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185',input2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : HWC001-1 : TPTP v8.1.2. Bugfixed v1.1.1.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:04:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.tsaB8TCCI8/Vampire---4.8_2185
% 0.57/0.73  % (2519)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)
% 0.57/0.74  % (2519)Refutation not found, incomplete strategy% (2519)------------------------------
% 0.57/0.74  % (2519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (2519)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (2519)Memory used [KB]: 951
% 0.57/0.74  % (2519)Time elapsed: 0.001 s
% 0.57/0.74  % (2519)Instructions burned: 2 (million)
% 0.57/0.74  % (2519)------------------------------
% 0.57/0.74  % (2519)------------------------------
% 0.57/0.74  % (2512)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)
% 0.57/0.74  % (2515)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)
% 0.57/0.74  % (2514)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (2513)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)
% 0.57/0.74  % (2516)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)
% 0.57/0.74  % (2518)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)
% 0.57/0.74  % (2517)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)
% 0.57/0.74  % (2512)Refutation not found, incomplete strategy% (2512)------------------------------
% 0.57/0.74  % (2512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (2512)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (2516)Refutation not found, incomplete strategy% (2516)------------------------------
% 0.57/0.74  % (2516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (2512)Memory used [KB]: 951
% 0.57/0.74  % (2512)Time elapsed: 0.002 s
% 0.57/0.74  % (2512)Instructions burned: 2 (million)
% 0.57/0.74  % (2516)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (2516)Memory used [KB]: 952
% 0.57/0.74  % (2516)Time elapsed: 0.002 s
% 0.57/0.74  % (2516)Instructions burned: 2 (million)
% 0.57/0.74  % (2512)------------------------------
% 0.57/0.74  % (2512)------------------------------
% 0.57/0.74  % (2516)------------------------------
% 0.57/0.74  % (2516)------------------------------
% 0.57/0.74  % (2520)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)
% 0.57/0.74  % (2518)First to succeed.
% 0.57/0.74  % (2518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2357"
% 0.57/0.74  % (2520)Also succeeded, but the first one will report.
% 0.57/0.74  % (2518)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (2518)------------------------------
% 0.57/0.74  % (2518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (2518)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (2518)Memory used [KB]: 1000
% 0.57/0.74  % (2518)Time elapsed: 0.005 s
% 0.57/0.74  % (2518)Instructions burned: 6 (million)
% 0.57/0.74  % (2357)Success in time 0.375 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------