TSTP Solution File: KLE066+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE066+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 : n024.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 03:03:02 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (  20 unt;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (  19   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,plain,
    $false,
    inference(subsumption_resolution,[],[f59,f27]) ).

fof(f27,plain,
    zero != multiplication(sK0,sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ? [X0,X1] :
      ( zero != multiplication(X0,X1)
      & zero = multiplication(X0,domain(X1)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0,X1] :
        ( zero = multiplication(X0,domain(X1))
       => zero = multiplication(X0,X1) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3,X4] :
        ( zero = multiplication(X3,domain(X4))
       => zero = multiplication(X3,X4) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3,X4] :
      ( zero = multiplication(X3,domain(X4))
     => zero = multiplication(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.YMZhy50jcW/Vampire---4.8_26382',goals) ).

fof(f59,plain,
    zero = multiplication(sK0,sK1),
    inference(superposition,[],[f55,f31]) ).

fof(f31,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/tmp/tmp.YMZhy50jcW/Vampire---4.8_26382',additive_identity) ).

fof(f55,plain,
    zero = addition(multiplication(sK0,sK1),zero),
    inference(forward_demodulation,[],[f51,f29]) ).

fof(f29,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox/tmp/tmp.YMZhy50jcW/Vampire---4.8_26382',left_annihilation) ).

fof(f51,plain,
    multiplication(zero,multiplication(sK0,sK1)) = addition(multiplication(sK0,sK1),multiplication(zero,multiplication(sK0,sK1))),
    inference(superposition,[],[f37,f47]) ).

fof(f47,plain,
    zero = domain(multiplication(sK0,sK1)),
    inference(forward_demodulation,[],[f41,f28]) ).

fof(f28,plain,
    zero = domain(zero),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    zero = domain(zero),
    file('/export/starexec/sandbox/tmp/tmp.YMZhy50jcW/Vampire---4.8_26382',domain4) ).

fof(f41,plain,
    domain(zero) = domain(multiplication(sK0,sK1)),
    inference(superposition,[],[f36,f26]) ).

fof(f26,plain,
    zero = multiplication(sK0,domain(sK1)),
    inference(cnf_transformation,[],[f25]) ).

fof(f36,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox/tmp/tmp.YMZhy50jcW/Vampire---4.8_26382',domain2) ).

fof(f37,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
    file('/export/starexec/sandbox/tmp/tmp.YMZhy50jcW/Vampire---4.8_26382',domain1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KLE066+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % 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
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:38:51 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.YMZhy50jcW/Vampire---4.8_26382
% 0.57/0.74  % (26644)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)
% 0.57/0.74  % (26638)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)
% 0.57/0.74  % (26640)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (26641)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)
% 0.57/0.74  % (26639)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)
% 0.57/0.74  % (26643)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)
% 0.57/0.74  % (26644)First to succeed.
% 0.57/0.74  % (26645)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)
% 0.57/0.74  % (26644)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (26644)------------------------------
% 0.57/0.74  % (26644)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (26644)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (26644)Memory used [KB]: 1052
% 0.57/0.74  % (26644)Time elapsed: 0.003 s
% 0.57/0.74  % (26644)Instructions burned: 4 (million)
% 0.57/0.74  % (26644)------------------------------
% 0.57/0.74  % (26644)------------------------------
% 0.57/0.74  % (26634)Success in time 0.375 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------