TSTP Solution File: KLE022+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE022+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 : 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 03:02:44 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  14 unt;   0 def)
%            Number of atoms       :   46 (  26 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  11   ~;   5   |;   5   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   35 (  33   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f169,plain,
    $false,
    inference(subsumption_resolution,[],[f167,f49]) ).

fof(f49,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.L4lcNQ4SrA/Vampire---4.8_25228',multiplicative_right_identity) ).

fof(f167,plain,
    sK0 != multiplication(sK0,one),
    inference(superposition,[],[f53,f128]) ).

fof(f128,plain,
    one = addition(sK1,c(sK1)),
    inference(superposition,[],[f74,f34]) ).

fof(f34,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.L4lcNQ4SrA/Vampire---4.8_25228',additive_commutativity) ).

fof(f74,plain,
    one = addition(c(sK1),sK1),
    inference(unit_resulting_resolution,[],[f52,f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | addition(X0,X1) = one ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( complement(X1,X0)
    <=> ( addition(X0,X1) = one
        & zero = multiplication(X1,X0)
        & zero = multiplication(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] :
      ( complement(X4,X3)
    <=> ( one = addition(X3,X4)
        & zero = multiplication(X4,X3)
        & zero = multiplication(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.L4lcNQ4SrA/Vampire---4.8_25228',test_2) ).

fof(f52,plain,
    complement(sK1,c(sK1)),
    inference(unit_resulting_resolution,[],[f28,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( complement(X0,c(X0))
      | ~ test(X0) ),
    inference(equality_resolution,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | complement(X0,X1)
      | c(X0) != X1 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( c(X0) = X1
      <=> complement(X0,X1) )
      | ~ test(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( test(X0)
     => ( c(X0) = X1
      <=> complement(X0,X1) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3,X4] :
      ( test(X3)
     => ( c(X3) = X4
      <=> complement(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.L4lcNQ4SrA/Vampire---4.8_25228',test_3) ).

fof(f28,plain,
    test(sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ? [X0,X1] :
      ( addition(multiplication(X0,X1),multiplication(X0,c(X1))) != X0
      & test(X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ~ ! [X0,X1] :
        ( test(X1)
       => addition(multiplication(X0,X1),multiplication(X0,c(X1))) = X0 ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X3,X4] :
        ( test(X4)
       => addition(multiplication(X3,X4),multiplication(X3,c(X4))) = X3 ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X3,X4] :
      ( test(X4)
     => addition(multiplication(X3,X4),multiplication(X3,c(X4))) = X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.L4lcNQ4SrA/Vampire---4.8_25228',goals) ).

fof(f53,plain,
    sK0 != multiplication(sK0,addition(sK1,c(sK1))),
    inference(superposition,[],[f29,f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.L4lcNQ4SrA/Vampire---4.8_25228',right_distributivity) ).

fof(f29,plain,
    sK0 != addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),
    inference(cnf_transformation,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : KLE022+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 18:53:59 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.L4lcNQ4SrA/Vampire---4.8_25228
% 0.61/0.77  % (25564)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)
% 0.61/0.77  % (25558)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)
% 0.61/0.77  % (25561)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)
% 0.61/0.77  % (25560)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77  % (25559)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)
% 0.61/0.77  % (25562)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)
% 0.61/0.77  % (25563)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)
% 0.61/0.77  % (25562)Refutation not found, incomplete strategy% (25562)------------------------------
% 0.61/0.77  % (25562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (25562)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (25562)Memory used [KB]: 1054
% 0.61/0.77  % (25562)Time elapsed: 0.003 s
% 0.61/0.77  % (25562)Instructions burned: 3 (million)
% 0.61/0.77  % (25562)------------------------------
% 0.61/0.77  % (25562)------------------------------
% 0.61/0.77  % (25561)Refutation not found, incomplete strategy% (25561)------------------------------
% 0.61/0.77  % (25561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (25561)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (25561)Memory used [KB]: 978
% 0.61/0.77  % (25561)Time elapsed: 0.003 s
% 0.61/0.77  % (25561)Instructions burned: 3 (million)
% 0.61/0.77  % (25561)------------------------------
% 0.61/0.77  % (25561)------------------------------
% 0.61/0.77  % (25558)Refutation not found, incomplete strategy% (25558)------------------------------
% 0.61/0.77  % (25558)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (25558)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (25558)Memory used [KB]: 1056
% 0.61/0.77  % (25558)Time elapsed: 0.003 s
% 0.61/0.77  % (25558)Instructions burned: 4 (million)
% 0.61/0.77  % (25558)------------------------------
% 0.61/0.77  % (25558)------------------------------
% 0.61/0.77  % (25564)First to succeed.
% 0.61/0.77  % (25564)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (25564)------------------------------
% 0.61/0.77  % (25564)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (25564)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (25564)Memory used [KB]: 1068
% 0.61/0.77  % (25564)Time elapsed: 0.005 s
% 0.61/0.77  % (25564)Instructions burned: 9 (million)
% 0.61/0.77  % (25564)------------------------------
% 0.61/0.77  % (25564)------------------------------
% 0.61/0.77  % (25396)Success in time 0.396 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------