TSTP Solution File: KLE002+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE002+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/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 07:15:29 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   23 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   2   |;   1   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (  21   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f115,plain,
    $false,
    inference(trivial_inequality_removal,[],[f114]) ).

fof(f114,plain,
    multiplication(sK1,sK2) != multiplication(sK1,sK2),
    inference(forward_demodulation,[],[f113,f28]) ).

fof(f28,plain,
    sK1 = addition(sK0,sK1),
    inference(unit_resulting_resolution,[],[f18,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.10wa1e9jnI/Vampire---4.8_4172',order) ).

fof(f18,plain,
    leq(sK0,sK1),
    inference(cnf_transformation,[],[f17]) ).

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

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

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

fof(f13,conjecture,
    ! [X3,X4,X5] :
      ( leq(X3,X4)
     => leq(multiplication(X3,X5),multiplication(X4,X5)) ),
    file('/export/starexec/sandbox2/tmp/tmp.10wa1e9jnI/Vampire---4.8_4172',goals) ).

fof(f113,plain,
    multiplication(sK1,sK2) != multiplication(addition(sK0,sK1),sK2),
    inference(superposition,[],[f32,f22]) ).

fof(f22,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.10wa1e9jnI/Vampire---4.8_4172',left_distributivity) ).

fof(f32,plain,
    multiplication(sK1,sK2) != addition(multiplication(sK0,sK2),multiplication(sK1,sK2)),
    inference(unit_resulting_resolution,[],[f19,f20]) ).

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

fof(f19,plain,
    ~ leq(multiplication(sK0,sK2),multiplication(sK1,sK2)),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : KLE002+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % 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
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Fri May  3 21:22:08 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  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.10wa1e9jnI/Vampire---4.8_4172
% 0.60/0.78  % (4281)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 (2995ds/34Mi)
% 0.60/0.78  % (4283)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (4285)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 (2995ds/34Mi)
% 0.60/0.78  % (4286)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (4284)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (4282)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 (2995ds/51Mi)
% 0.60/0.78  % (4287)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 (2995ds/83Mi)
% 0.60/0.78  % (4288)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 (2995ds/56Mi)
% 0.60/0.78  % (4288)Refutation not found, incomplete strategy% (4288)------------------------------
% 0.60/0.78  % (4288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (4288)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  % (4285)Refutation not found, incomplete strategy% (4285)------------------------------
% 0.60/0.78  % (4285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (4285)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (4285)Memory used [KB]: 964
% 0.60/0.78  % (4285)Time elapsed: 0.003 s
% 0.60/0.78  % (4285)Instructions burned: 2 (million)
% 0.60/0.78  
% 0.60/0.78  % (4288)Memory used [KB]: 959
% 0.60/0.78  % (4288)Time elapsed: 0.002 s
% 0.60/0.78  % (4288)Instructions burned: 2 (million)
% 0.60/0.78  % (4286)Refutation not found, incomplete strategy% (4286)------------------------------
% 0.60/0.78  % (4286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (4286)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (4286)Memory used [KB]: 961
% 0.60/0.78  % (4286)Time elapsed: 0.003 s
% 0.60/0.78  % (4286)Instructions burned: 2 (million)
% 0.60/0.78  % (4284)Refutation not found, incomplete strategy% (4284)------------------------------
% 0.60/0.78  % (4284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (4284)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (4284)Memory used [KB]: 964
% 0.60/0.78  % (4284)Time elapsed: 0.003 s
% 0.60/0.78  % (4284)Instructions burned: 2 (million)
% 0.60/0.78  % (4281)Refutation not found, incomplete strategy% (4281)------------------------------
% 0.60/0.78  % (4281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (4281)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (4285)------------------------------
% 0.60/0.78  % (4285)------------------------------
% 0.60/0.78  % (4281)Memory used [KB]: 991
% 0.60/0.78  % (4281)Time elapsed: 0.003 s
% 0.60/0.78  % (4281)Instructions burned: 2 (million)
% 0.60/0.78  % (4288)------------------------------
% 0.60/0.78  % (4288)------------------------------
% 0.60/0.78  % (4284)------------------------------
% 0.60/0.78  % (4284)------------------------------
% 0.60/0.78  % (4281)------------------------------
% 0.60/0.78  % (4281)------------------------------
% 0.60/0.78  % (4286)------------------------------
% 0.60/0.78  % (4286)------------------------------
% 0.60/0.78  % (4287)First to succeed.
% 0.60/0.78  % (4287)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4280"
% 0.60/0.78  % (4283)Also succeeded, but the first one will report.
% 0.60/0.79  % (4287)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (4287)------------------------------
% 0.60/0.79  % (4287)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (4287)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (4287)Memory used [KB]: 1045
% 0.60/0.79  % (4287)Time elapsed: 0.005 s
% 0.60/0.79  % (4287)Instructions burned: 6 (million)
% 0.60/0.79  % (4280)Success in time 0.461 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------