TSTP Solution File: NUM693_8 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM693_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 08:14:29 EDT 2024

% Result   : Theorem 0.56s 0.73s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (  11 unt;   7 typ;   0 def)
%            Number of atoms       :   27 (  18 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  13   ~;   3   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   4   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (  16   !;   1   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    nat: $tType ).

tff(func_def_0,type,
    x: nat ).

tff(func_def_1,type,
    n_1: nat ).

tff(func_def_2,type,
    suc: nat > nat ).

tff(func_def_3,type,
    pl: ( nat * nat ) > nat ).

tff(func_def_4,type,
    sK0: nat > nat ).

tff(pred_def_1,type,
    more: ( nat * nat ) > $o ).

tff(f23,plain,
    $false,
    inference(subsumption_resolution,[],[f22,f15]) ).

tff(f15,plain,
    ~ more(x,n_1),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ( ( n_1 != x )
    & ~ more(x,n_1) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,negated_conjecture,
    ~ ( ~ more(x,n_1)
     => ( n_1 = x ) ),
    inference(negated_conjecture,[],[f5]) ).

tff(f5,conjecture,
    ( ~ more(x,n_1)
   => ( n_1 = x ) ),
    file('/export/starexec/sandbox/tmp/tmp.DbzvzZjvF3/Vampire---4.8_4229',satz24) ).

tff(f22,plain,
    more(x,n_1),
    inference(superposition,[],[f19,f21]) ).

tff(f21,plain,
    x = pl(n_1,sK0(x)),
    inference(unit_resulting_resolution,[],[f16,f20]) ).

tff(f20,plain,
    ! [X0: nat] :
      ( ( pl(n_1,sK0(X0)) = X0 )
      | ( n_1 = X0 ) ),
    inference(definition_unfolding,[],[f18,f17]) ).

tff(f17,plain,
    ! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,plain,
    ! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X1: nat] : ( suc(X1) = pl(n_1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.DbzvzZjvF3/Vampire---4.8_4229',satz4g) ).

tff(f18,plain,
    ! [X0: nat] :
      ( ( n_1 = X0 )
      | ( suc(sK0(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: nat] :
      ( ? [X1: nat] : ( suc(X1) = X0 )
      | ( n_1 = X0 ) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f8,plain,
    ! [X0: nat] :
      ( ( n_1 != X0 )
     => ~ ! [X1: nat] : ( suc(X1) != X0 ) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X1: nat] :
      ( ( n_1 != X1 )
     => ~ ! [X2: nat] : ( suc(X2) != X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.DbzvzZjvF3/Vampire---4.8_4229',satz3) ).

tff(f16,plain,
    n_1 != x,
    inference(cnf_transformation,[],[f12]) ).

tff(f19,plain,
    ! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: nat,X3: nat] : more(pl(X1,X3),X1),
    file('/export/starexec/sandbox/tmp/tmp.DbzvzZjvF3/Vampire---4.8_4229',satz18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM693_8 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n010.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 14:44:37 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TX0_THM_EQU_NAR problem
% 0.14/0.35  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.DbzvzZjvF3/Vampire---4.8_4229
% 0.56/0.73  % (4343)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  % (4337)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  % (4339)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  % (4343)First to succeed.
% 0.56/0.73  % (4338)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  % (4341)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  % (4342)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  % (4343)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4336"
% 0.56/0.73  % (4342)Refutation not found, incomplete strategy% (4342)------------------------------
% 0.56/0.73  % (4342)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (4342)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (4342)Memory used [KB]: 951
% 0.56/0.73  % (4342)Time elapsed: 0.002 s
% 0.56/0.73  % (4342)Instructions burned: 2 (million)
% 0.56/0.73  % (4341)Refutation not found, incomplete strategy% (4341)------------------------------
% 0.56/0.73  % (4341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (4341)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (4341)Memory used [KB]: 966
% 0.56/0.73  % (4341)Time elapsed: 0.002 s
% 0.56/0.73  % (4341)Instructions burned: 2 (million)
% 0.56/0.73  % (4337)Refutation not found, incomplete strategy% (4337)------------------------------
% 0.56/0.73  % (4337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (4337)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (4337)Memory used [KB]: 967
% 0.56/0.73  % (4339)Also succeeded, but the first one will report.
% 0.56/0.73  % (4337)Time elapsed: 0.003 s
% 0.56/0.73  % (4337)Instructions burned: 2 (million)
% 0.56/0.73  % (4338)Also succeeded, but the first one will report.
% 0.56/0.73  % (4342)------------------------------
% 0.56/0.73  % (4342)------------------------------
% 0.56/0.73  % (4341)------------------------------
% 0.56/0.73  % (4341)------------------------------
% 0.56/0.73  % (4337)------------------------------
% 0.56/0.73  % (4337)------------------------------
% 0.56/0.73  % (4344)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  % (4340)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  % (4343)Refutation found. Thanks to Tanya!
% 0.56/0.73  % SZS status Theorem for Vampire---4
% 0.56/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.73  % (4343)------------------------------
% 0.56/0.73  % (4343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (4343)Termination reason: Refutation
% 0.56/0.73  
% 0.56/0.73  % (4343)Memory used [KB]: 960
% 0.56/0.73  % (4343)Time elapsed: 0.002 s
% 0.56/0.73  % (4343)Instructions burned: 2 (million)
% 0.56/0.73  % (4336)Success in time 0.375 s
% 0.56/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------