TSTP Solution File: KLE001+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE001+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : 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 : Sun May  5 07:15:29 EDT 2024

% Result   : Theorem 0.52s 0.74s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   26 (   6 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   23 (  10   ~;   3   |;   5   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (  17   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,plain,
    $false,
    inference(unit_resulting_resolution,[],[f22,f23,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | addition(X0,X1) != X1 )
      & ( addition(X0,X1) = X1
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.EP7mKu07PX/Vampire---4.8_8854',order) ).

fof(f23,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.EP7mKu07PX/Vampire---4.8_8854',additive_idempotence) ).

fof(f22,plain,
    ~ leq(addition(sK0,sK2),addition(sK0,sK2)),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ~ leq(addition(sK0,sK2),addition(sK0,sK2))
    & leq(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).

fof(f18,plain,
    ( ? [X0,X1,X2] :
        ( ~ leq(addition(X0,X2),addition(X0,X2))
        & leq(X0,X1) )
   => ( ~ leq(addition(sK0,sK2),addition(sK0,sK2))
      & leq(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ? [X0,X1,X2] :
      ( ~ leq(addition(X0,X2),addition(X0,X2))
      & leq(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ~ ! [X0,X1,X2] :
        ( leq(X0,X1)
       => leq(addition(X0,X2),addition(X0,X2)) ),
    inference(rectify,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ! [X3,X4,X5] :
        ( leq(X3,X4)
       => leq(addition(X3,X5),addition(X3,X5)) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ! [X3,X4,X5] :
      ( leq(X3,X4)
     => leq(addition(X3,X5),addition(X3,X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.EP7mKu07PX/Vampire---4.8_8854',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : KLE001+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14  % 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
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 21:23:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ 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.EP7mKu07PX/Vampire---4.8_8854
% 0.52/0.74  % (8969)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)
% 0.52/0.74  % (8969)Refutation not found, incomplete strategy% (8969)------------------------------
% 0.52/0.74  % (8969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (8969)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (8969)Memory used [KB]: 958
% 0.52/0.74  % (8969)Time elapsed: 0.002 s
% 0.52/0.74  % (8969)Instructions burned: 2 (million)
% 0.52/0.74  % (8969)------------------------------
% 0.52/0.74  % (8969)------------------------------
% 0.52/0.74  % (8962)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)
% 0.52/0.74  % (8964)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.74  % (8967)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)
% 0.52/0.74  % (8966)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)
% 0.52/0.74  % (8963)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)
% 0.52/0.74  % (8968)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)
% 0.52/0.74  % (8965)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)
% 0.52/0.74  % (8966)Refutation not found, incomplete strategy% (8966)------------------------------
% 0.52/0.74  % (8966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (8966)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (8966)Memory used [KB]: 964
% 0.52/0.74  % (8966)Time elapsed: 0.003 s
% 0.52/0.74  % (8966)Instructions burned: 2 (million)
% 0.52/0.74  % (8962)Refutation not found, incomplete strategy% (8962)------------------------------
% 0.52/0.74  % (8962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (8962)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (8962)Memory used [KB]: 992
% 0.52/0.74  % (8962)Time elapsed: 0.003 s
% 0.52/0.74  % (8962)Instructions burned: 2 (million)
% 0.52/0.74  % (8967)Refutation not found, incomplete strategy% (8967)------------------------------
% 0.52/0.74  % (8967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (8967)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (8967)Memory used [KB]: 964
% 0.52/0.74  % (8967)Time elapsed: 0.003 s
% 0.52/0.74  % (8967)Instructions burned: 2 (million)
% 0.52/0.74  % (8965)First to succeed.
% 0.52/0.74  % (8962)------------------------------
% 0.52/0.74  % (8962)------------------------------
% 0.52/0.74  % (8967)------------------------------
% 0.52/0.74  % (8967)------------------------------
% 0.52/0.74  % (8966)------------------------------
% 0.52/0.74  % (8966)------------------------------
% 0.52/0.74  % (8968)Also succeeded, but the first one will report.
% 0.52/0.74  % (8964)Also succeeded, but the first one will report.
% 0.52/0.74  % (8965)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8961"
% 0.52/0.74  % (8970)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)
% 0.52/0.74  % (8963)Also succeeded, but the first one will report.
% 0.52/0.74  % (8965)Refutation found. Thanks to Tanya!
% 0.52/0.74  % SZS status Theorem for Vampire---4
% 0.52/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.74  % (8965)------------------------------
% 0.52/0.74  % (8965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (8965)Termination reason: Refutation
% 0.52/0.74  
% 0.52/0.74  % (8965)Memory used [KB]: 973
% 0.52/0.74  % (8965)Time elapsed: 0.003 s
% 0.52/0.74  % (8965)Instructions burned: 3 (million)
% 0.52/0.74  % (8961)Success in time 0.384 s
% 0.52/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------