TSTP Solution File: NUN067+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUN067+2 : TPTP v8.1.2. Released v7.3.0.
% 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 : n018.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 : Wed May  1 03:36:20 EDT 2024

% Result   : Theorem 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   36 (  11 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   38 (  19   ~;  10   |;   9   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   0 con; 1-2 aty)
%            Number of variables   :   40 (  28   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(unit_resulting_resolution,[],[f59,f68,f62]) ).

fof(f62,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | ~ r1(X2) ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X2)
      | X1 != X2
      | ~ r2(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ r2(X0,X1)
      | ! [X2] :
          ( X1 != X2
          | ~ r1(X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X40,X41] :
      ( ~ r2(X40,X41)
      | ! [X42] :
          ( X41 != X42
          | ~ r1(X42) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zf1gRmkgUF/Vampire---4.8_9236',axiom_7a) ).

fof(f68,plain,
    ! [X0] : r1(X0),
    inference(forward_demodulation,[],[f26,f27]) ).

fof(f27,plain,
    ! [X0] : sK0(X0) = X0,
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
    ? [X1] :
      ( X0 = X1
      & r1(X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ? [X0] :
      ! [X1] :
        ( X0 != X1
        | ~ r1(X1) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ? [X38] :
      ! [X21] :
        ( X21 != X38
        | ~ r1(X21) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ? [X38] :
    ! [X21] :
      ( X21 != X38
      | ~ r1(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.zf1gRmkgUF/Vampire---4.8_9236',nonzerosexist) ).

fof(f26,plain,
    ! [X0] : r1(sK0(X0)),
    inference(cnf_transformation,[],[f25]) ).

fof(f59,plain,
    ! [X0,X1] : r2(sK9(X0,X1),sK8(X0,X1)),
    inference(definition_unfolding,[],[f41,f43]) ).

fof(f43,plain,
    ! [X0,X1] : sK7(X0,X1) = sK8(X0,X1),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,X2) )
      & ? [X4] :
          ( X2 = X4
          & ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13,X14] :
    ? [X15] :
      ( ? [X18] :
          ( r3(X13,X14,X18)
          & r2(X18,X15) )
      & ? [X16] :
          ( X15 = X16
          & ? [X17] :
              ( r3(X13,X17,X16)
              & r2(X14,X17) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zf1gRmkgUF/Vampire---4.8_9236',axiom_1a) ).

fof(f41,plain,
    ! [X0,X1] : r2(sK9(X0,X1),sK7(X0,X1)),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NUN067+2 : TPTP v8.1.2. Released v7.3.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n018.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:53:44 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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/tmp/tmp.zf1gRmkgUF/Vampire---4.8_9236
% 0.61/0.77  % (9445)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)
% 0.61/0.77  % (9444)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)
% 0.61/0.78  % (9445)Refutation not found, incomplete strategy% (9445)------------------------------
% 0.61/0.78  % (9445)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (9445)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (9445)Memory used [KB]: 966
% 0.61/0.78  % (9445)Time elapsed: 0.002 s
% 0.61/0.78  % (9445)Instructions burned: 2 (million)
% 0.61/0.78  % (9445)------------------------------
% 0.61/0.78  % (9445)------------------------------
% 0.61/0.78  % (9437)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)
% 0.61/0.78  % (9441)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)
% 0.61/0.78  % (9444)First to succeed.
% 0.61/0.78  % (9439)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)
% 0.61/0.78  % (9442)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)
% 0.61/0.78  % (9440)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.78  % (9443)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)
% 0.61/0.78  % (9444)Refutation found. Thanks to Tanya!
% 0.61/0.78  % SZS status Theorem for Vampire---4
% 0.61/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78  % (9444)------------------------------
% 0.61/0.78  % (9444)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (9444)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (9444)Memory used [KB]: 1044
% 0.61/0.78  % (9444)Time elapsed: 0.002 s
% 0.61/0.78  % (9444)Instructions burned: 4 (million)
% 0.61/0.78  % (9444)------------------------------
% 0.61/0.78  % (9444)------------------------------
% 0.61/0.78  % (9392)Success in time 0.401 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------