TSTP Solution File: SYO038-1.003.003 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO038-1.003.003 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 12:19:02 EDT 2024

% Result   : Unsatisfiable 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   56 (  28 unt;   0 def)
%            Number of atoms       :   84 (  21 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   53 (  25   ~;  22   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f300,plain,
    $false,
    inference(avatar_sat_refutation,[],[f40,f43,f135,f289,f293,f295,f299]) ).

fof(f299,plain,
    ~ spl0_12,
    inference(avatar_split_clause,[],[f214,f286]) ).

fof(f286,plain,
    ( spl0_12
  <=> d(f(s(one),s(s(s(one))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f214,plain,
    ~ d(f(s(one),s(s(s(one))))),
    inference(forward_demodulation,[],[f202,f7]) ).

fof(f7,plain,
    f(one,s(one)) = s(s(s(one))),
    inference(superposition,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0] : f(X0,one) = s(one),
    file('/export/starexec/sandbox2/tmp/tmp.htkbT0JDBp/Vampire---4.8_16347',ax1) ).

fof(f2,axiom,
    ! [X1] : f(one,s(X1)) = s(s(f(one,X1))),
    file('/export/starexec/sandbox2/tmp/tmp.htkbT0JDBp/Vampire---4.8_16347',ax2) ).

fof(f202,plain,
    ~ d(f(s(one),f(one,s(one)))),
    inference(superposition,[],[f6,f70]) ).

fof(f70,plain,
    ! [X0] : f(s(s(X0)),s(s(one))) = f(s(X0),f(X0,s(one))),
    inference(superposition,[],[f50,f45]) ).

fof(f45,plain,
    ! [X0] : f(s(X0),s(one)) = f(X0,s(one)),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : f(s(X0),s(X1)) = f(X0,f(s(X0),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.htkbT0JDBp/Vampire---4.8_16347',ax3) ).

fof(f50,plain,
    ! [X0] : f(s(X0),s(s(one))) = f(X0,f(X0,s(one))),
    inference(superposition,[],[f3,f45]) ).

fof(f6,axiom,
    ~ d(f(s(s(one)),s(s(one)))),
    file('/export/starexec/sandbox2/tmp/tmp.htkbT0JDBp/Vampire---4.8_16347',conj) ).

fof(f295,plain,
    ( ~ spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f294,f62,f132]) ).

fof(f132,plain,
    ( spl0_9
  <=> d(f(one,s(s(s(one))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f62,plain,
    ( spl0_5
  <=> d(f(one,s(s(s(s(one)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f294,plain,
    ( ~ d(f(one,s(s(s(one)))))
    | spl0_5 ),
    inference(resolution,[],[f64,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( d(f(one,s(X0)))
      | ~ d(f(one,X0)) ),
    inference(resolution,[],[f8,f5]) ).

fof(f5,axiom,
    ! [X1] :
      ( d(s(X1))
      | ~ d(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.htkbT0JDBp/Vampire---4.8_16347',ax5) ).

fof(f8,plain,
    ! [X0] :
      ( ~ d(s(f(one,X0)))
      | d(f(one,s(X0))) ),
    inference(superposition,[],[f5,f2]) ).

fof(f64,plain,
    ( ~ d(f(one,s(s(s(s(one))))))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f293,plain,
    ( spl0_6
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f111,f62,f66]) ).

fof(f66,plain,
    ( spl0_6
  <=> d(f(one,f(one,s(s(one))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f111,plain,
    ( ~ d(f(one,s(s(s(s(one))))))
    | d(f(one,f(one,s(s(one))))) ),
    inference(superposition,[],[f29,f7]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ d(f(one,s(f(one,X0))))
      | d(f(one,f(one,s(X0)))) ),
    inference(superposition,[],[f10,f2]) ).

fof(f289,plain,
    ( ~ spl0_6
    | spl0_12 ),
    inference(avatar_split_clause,[],[f281,f286,f66]) ).

fof(f281,plain,
    ( d(f(s(one),s(s(s(one)))))
    | ~ d(f(one,f(one,s(s(one))))) ),
    inference(superposition,[],[f110,f93]) ).

fof(f93,plain,
    f(s(one),s(s(s(one)))) = f(one,f(one,s(s(s(one))))),
    inference(superposition,[],[f3,f89]) ).

fof(f89,plain,
    f(s(one),s(s(one))) = f(one,s(s(s(one)))),
    inference(superposition,[],[f3,f83]) ).

fof(f83,plain,
    s(s(s(one))) = f(s(one),s(one)),
    inference(superposition,[],[f79,f45]) ).

fof(f79,plain,
    s(s(s(one))) = f(s(s(one)),s(one)),
    inference(superposition,[],[f74,f45]) ).

fof(f74,plain,
    s(s(s(one))) = f(s(s(s(one))),s(one)),
    inference(superposition,[],[f60,f45]) ).

fof(f60,plain,
    s(s(s(one))) = f(s(s(s(s(one)))),s(one)),
    inference(forward_demodulation,[],[f59,f7]) ).

fof(f59,plain,
    f(one,s(one)) = f(s(s(s(s(one)))),s(one)),
    inference(forward_demodulation,[],[f58,f45]) ).

fof(f58,plain,
    f(s(s(s(s(one)))),s(one)) = f(s(one),s(one)),
    inference(forward_demodulation,[],[f57,f1]) ).

fof(f57,plain,
    f(s(s(s(s(one)))),s(one)) = f(f(one,one),s(one)),
    inference(forward_demodulation,[],[f56,f51]) ).

fof(f51,plain,
    ! [X0] : f(f(one,s(X0)),s(one)) = f(f(one,X0),s(one)),
    inference(forward_demodulation,[],[f49,f45]) ).

fof(f49,plain,
    ! [X0] : f(s(f(one,X0)),s(one)) = f(f(one,s(X0)),s(one)),
    inference(superposition,[],[f45,f2]) ).

fof(f56,plain,
    f(s(s(s(s(one)))),s(one)) = f(f(one,s(one)),s(one)),
    inference(forward_demodulation,[],[f52,f51]) ).

fof(f52,plain,
    f(s(s(s(s(one)))),s(one)) = f(f(one,s(s(one))),s(one)),
    inference(superposition,[],[f45,f9]) ).

fof(f9,plain,
    f(one,s(s(one))) = s(s(s(s(s(one))))),
    inference(superposition,[],[f2,f7]) ).

fof(f110,plain,
    ! [X0] :
      ( d(f(one,f(one,s(X0))))
      | ~ d(f(one,f(one,X0))) ),
    inference(resolution,[],[f29,f10]) ).

fof(f135,plain,
    ( spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f130,f33,f132]) ).

fof(f33,plain,
    ( spl0_3
  <=> d(s(s(s(one)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f130,plain,
    ( ~ d(s(s(s(one))))
    | d(f(one,s(s(s(one))))) ),
    inference(forward_demodulation,[],[f129,f7]) ).

fof(f129,plain,
    ( ~ d(f(one,s(one)))
    | d(f(one,s(s(s(one))))) ),
    inference(forward_demodulation,[],[f119,f1]) ).

fof(f119,plain,
    ( d(f(one,s(s(s(one)))))
    | ~ d(f(one,f(one,one))) ),
    inference(superposition,[],[f110,f7]) ).

fof(f43,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f42]) ).

fof(f42,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f41,f4]) ).

fof(f4,axiom,
    d(one),
    file('/export/starexec/sandbox2/tmp/tmp.htkbT0JDBp/Vampire---4.8_16347',ax4) ).

fof(f41,plain,
    ( ~ d(one)
    | spl0_4 ),
    inference(resolution,[],[f39,f5]) ).

fof(f39,plain,
    ( ~ d(s(one))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_4
  <=> d(s(one)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f40,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f31,f37,f33]) ).

fof(f31,plain,
    ( ~ d(s(one))
    | d(s(s(s(one)))) ),
    inference(forward_demodulation,[],[f30,f1]) ).

fof(f30,plain,
    ( d(s(s(s(one))))
    | ~ d(f(one,one)) ),
    inference(superposition,[],[f10,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO038-1.003.003 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.14  % 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
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 16:15:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.13/0.35  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.htkbT0JDBp/Vampire---4.8_16347
% 0.56/0.73  % (16462)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)
% 0.56/0.73  % (16455)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)
% 0.56/0.73  % (16458)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)
% 0.56/0.73  % (16457)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (16456)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)
% 0.56/0.73  % (16460)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)
% 0.56/0.73  % (16459)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)
% 0.56/0.73  % (16462)Refutation not found, incomplete strategy% (16462)------------------------------
% 0.56/0.73  % (16462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (16462)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (16462)Memory used [KB]: 944
% 0.56/0.73  % (16462)Time elapsed: 0.002 s
% 0.56/0.73  % (16462)Instructions burned: 2 (million)
% 0.56/0.73  % (16462)------------------------------
% 0.56/0.73  % (16462)------------------------------
% 0.56/0.73  % (16460)Refutation not found, incomplete strategy% (16460)------------------------------
% 0.56/0.73  % (16460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (16460)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (16460)Memory used [KB]: 944
% 0.56/0.73  % (16460)Time elapsed: 0.002 s
% 0.56/0.73  % (16460)Instructions burned: 2 (million)
% 0.56/0.73  % (16455)Refutation not found, incomplete strategy% (16455)------------------------------
% 0.56/0.73  % (16455)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (16455)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  % (16459)Refutation not found, incomplete strategy% (16459)------------------------------
% 0.56/0.73  % (16459)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (16459)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (16459)Memory used [KB]: 946
% 0.56/0.73  % (16459)Time elapsed: 0.002 s
% 0.56/0.73  % (16459)Instructions burned: 2 (million)
% 0.56/0.73  
% 0.56/0.73  % (16455)Memory used [KB]: 959
% 0.56/0.73  % (16455)Time elapsed: 0.003 s
% 0.56/0.73  % (16455)Instructions burned: 2 (million)
% 0.56/0.73  % (16460)------------------------------
% 0.56/0.73  % (16460)------------------------------
% 0.56/0.73  % (16459)------------------------------
% 0.56/0.73  % (16459)------------------------------
% 0.56/0.73  % (16455)------------------------------
% 0.56/0.73  % (16455)------------------------------
% 0.56/0.73  % (16461)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)
% 0.56/0.73  % (16461)Refutation not found, incomplete strategy% (16461)------------------------------
% 0.56/0.73  % (16461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (16461)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (16461)Memory used [KB]: 949
% 0.56/0.73  % (16461)Time elapsed: 0.001 s
% 0.56/0.73  % (16461)Instructions burned: 2 (million)
% 0.56/0.73  % (16461)------------------------------
% 0.56/0.73  % (16461)------------------------------
% 0.56/0.73  % (16463)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)
% 0.56/0.73  % (16464)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)
% 0.56/0.73  % (16465)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)
% 0.56/0.73  % (16466)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)
% 0.56/0.74  % (16464)Refutation not found, incomplete strategy% (16464)------------------------------
% 0.56/0.74  % (16464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (16464)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (16464)Memory used [KB]: 947
% 0.56/0.74  % (16464)Time elapsed: 0.002 s
% 0.56/0.74  % (16464)Instructions burned: 2 (million)
% 0.56/0.74  % (16464)------------------------------
% 0.56/0.74  % (16464)------------------------------
% 0.56/0.74  % (16456)First to succeed.
% 0.56/0.74  % (16463)Also succeeded, but the first one will report.
% 0.56/0.74  % (16456)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16454"
% 0.56/0.74  % (16456)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (16456)------------------------------
% 0.56/0.74  % (16456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (16456)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (16456)Memory used [KB]: 1099
% 0.56/0.74  % (16456)Time elapsed: 0.011 s
% 0.56/0.74  % (16456)Instructions burned: 15 (million)
% 0.56/0.74  % (16454)Success in time 0.38 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------