TSTP Solution File: NUM693_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM693_8 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 01:44:51 EDT 2024

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   32 (  23 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  13   ~;   5   |;   1   &)
%                                         (   0 <=>;   5  =>;   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   :   21 (  19   !;   2   ?;  21   :)

% 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_6,type,
    sK0: nat > nat ).

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

tff(f33,plain,
    $false,
    inference(subsumption_resolution,[],[f32,f21]) ).

tff(f21,plain,
    n_1 != x,
    inference(cnf_transformation,[],[f15]) ).

tff(f15,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/sandbox2/benchmark/theBenchmark.p',satz24) ).

tff(f32,plain,
    n_1 = x,
    inference(resolution,[],[f31,f20]) ).

tff(f20,plain,
    ~ more(x,n_1),
    inference(cnf_transformation,[],[f15]) ).

tff(f31,plain,
    ! [X0: nat] :
      ( more(X0,n_1)
      | ( n_1 = X0 ) ),
    inference(superposition,[],[f25,f26]) ).

tff(f26,plain,
    ! [X0: nat] :
      ( ( pl(n_1,sK0(X0)) = X0 )
      | ( n_1 = X0 ) ),
    inference(definition_unfolding,[],[f23,f22]) ).

tff(f22,plain,
    ! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,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/sandbox2/benchmark/theBenchmark.p',satz4g) ).

tff(f23,plain,
    ! [X0: nat] :
      ( ( suc(sK0(X0)) = X0 )
      | ( n_1 = X0 ) ),
    inference(cnf_transformation,[],[f19]) ).

tff(f19,plain,
    ! [X0: nat] :
      ( ( suc(sK0(X0)) = X0 )
      | ( n_1 = X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f18]) ).

tff(f18,plain,
    ! [X0: nat] :
      ( ? [X1: nat] : ( suc(X1) = X0 )
     => ( suc(sK0(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ! [X0: nat] :
      ( ? [X1: nat] : ( suc(X1) = X0 )
      | ( n_1 = X0 ) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,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/sandbox2/benchmark/theBenchmark.p',satz3) ).

tff(f25,plain,
    ! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,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/sandbox2/benchmark/theBenchmark.p',satz18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : NUM693_8 : TPTP v8.2.0. Released v8.0.0.
% 0.08/0.15  % 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 : n028.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 05:33:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TX0_THM_EQU_NAR 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
% 0.22/0.75  % (1634)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)
% 0.22/0.75  % (1625)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)
% 0.22/0.75  % (1628)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)
% 0.22/0.75  % (1626)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)
% 0.22/0.75  % (1627)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.22/0.75  % (1629)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)
% 0.22/0.75  % (1630)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)
% 0.22/0.75  % (1632)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)
% 0.22/0.75  % (1634)Refutation not found, incomplete strategy% (1634)------------------------------
% 0.22/0.75  % (1634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.75  % (1634)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.75  
% 0.22/0.75  % (1634)Memory used [KB]: 949
% 0.22/0.75  % (1634)Time elapsed: 0.001 s
% 0.22/0.75  % (1634)Instructions burned: 2 (million)
% 0.22/0.76  % (1634)------------------------------
% 0.22/0.76  % (1634)------------------------------
% 0.22/0.76  % (1628)Refutation not found, incomplete strategy% (1628)------------------------------
% 0.22/0.76  % (1628)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.76  % (1628)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.76  
% 0.22/0.76  % (1628)Memory used [KB]: 948
% 0.22/0.76  % (1628)Time elapsed: 0.002 s
% 0.22/0.76  % (1628)Instructions burned: 2 (million)
% 0.22/0.76  % (1630)Refutation not found, incomplete strategy% (1630)------------------------------
% 0.22/0.76  % (1630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.76  % (1630)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.76  
% 0.22/0.76  % (1630)Memory used [KB]: 951
% 0.22/0.76  % (1630)Time elapsed: 0.002 s
% 0.22/0.76  % (1629)Refutation not found, incomplete strategy% (1629)------------------------------
% 0.22/0.76  % (1629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.76  % (1630)Instructions burned: 2 (million)
% 0.22/0.76  % (1629)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.76  
% 0.22/0.76  % (1625)Refutation not found, incomplete strategy% (1625)------------------------------
% 0.22/0.76  % (1625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.76  % (1625)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.76  
% 0.22/0.76  % (1625)Memory used [KB]: 967
% 0.22/0.76  % (1625)Time elapsed: 0.003 s
% 0.22/0.76  % (1625)Instructions burned: 2 (million)
% 0.22/0.76  % (1629)Memory used [KB]: 966
% 0.22/0.76  % (1628)------------------------------
% 0.22/0.76  % (1628)------------------------------
% 0.22/0.76  % (1629)Time elapsed: 0.003 s
% 0.22/0.76  % (1629)Instructions burned: 2 (million)
% 0.22/0.76  % (1626)Also succeeded, but the first one will report.
% 0.22/0.76  % (1627)First to succeed.
% 0.22/0.76  % (1630)------------------------------
% 0.22/0.76  % (1630)------------------------------
% 0.22/0.76  % (1632)Also succeeded, but the first one will report.
% 0.22/0.76  % (1625)------------------------------
% 0.22/0.76  % (1625)------------------------------
% 0.22/0.76  % (1629)------------------------------
% 0.22/0.76  % (1629)------------------------------
% 0.22/0.76  % (1627)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1624"
% 0.22/0.76  % (1627)Refutation found. Thanks to Tanya!
% 0.22/0.76  % SZS status Theorem for theBenchmark
% 0.22/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.76  % (1627)------------------------------
% 0.22/0.76  % (1627)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.76  % (1627)Termination reason: Refutation
% 0.22/0.76  
% 0.22/0.76  % (1627)Memory used [KB]: 962
% 0.22/0.76  % (1627)Time elapsed: 0.003 s
% 0.22/0.76  % (1627)Instructions burned: 3 (million)
% 0.22/0.76  % (1624)Success in time 0.377 s
% 0.22/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------