TSTP Solution File: KLE128+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE128+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 : n029.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 07:16:18 EDT 2024

% Result   : Theorem 0.60s 0.73s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   68 (  55 unt;   0 def)
%            Number of atoms       :   92 (  91 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   38 (  14   ~;   4   |;  10   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   77 (  71   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1016,plain,
    $false,
    inference(subsumption_resolution,[],[f1007,f90]) ).

fof(f90,plain,
    zero != antidomain(antidomain(sK1)),
    inference(definition_unfolding,[],[f56,f75]) ).

fof(f75,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',domain4) ).

fof(f56,plain,
    zero != domain(sK1),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( zero != domain(sK1)
    & forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1)))
    & zero = divergence(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f49,f52,f51]) ).

fof(f51,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( zero != domain(X1)
            & forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
        & zero = divergence(X0) )
   => ( ? [X1] :
          ( zero != domain(X1)
          & forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
      & zero = divergence(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ( ? [X1] :
        ( zero != domain(X1)
        & forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
   => ( zero != domain(sK1)
      & forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X1] :
          ( zero != domain(X1)
          & forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
      & zero = divergence(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0] :
        ( zero = divergence(X0)
       => ! [X1] :
            ( forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1)))
           => zero = domain(X1) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X3] :
        ( zero = divergence(X3)
       => ! [X4] :
            ( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
           => zero = domain(X4) ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X3] :
      ( zero = divergence(X3)
     => ! [X4] :
          ( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
         => zero = domain(X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',goals) ).

fof(f1007,plain,
    zero = antidomain(antidomain(sK1)),
    inference(superposition,[],[f984,f65]) ).

fof(f65,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',additive_identity) ).

fof(f984,plain,
    zero = addition(antidomain(antidomain(sK1)),zero),
    inference(forward_demodulation,[],[f983,f138]) ).

fof(f138,plain,
    zero = antidomain(antidomain(zero)),
    inference(superposition,[],[f114,f69]) ).

fof(f69,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',domain1) ).

fof(f114,plain,
    ! [X0] : multiplication(X0,antidomain(zero)) = X0,
    inference(superposition,[],[f79,f108]) ).

fof(f108,plain,
    one = antidomain(zero),
    inference(forward_demodulation,[],[f103,f65]) ).

fof(f103,plain,
    one = addition(antidomain(zero),zero),
    inference(superposition,[],[f60,f94]) ).

fof(f94,plain,
    zero = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(zero))))),
    inference(superposition,[],[f93,f54]) ).

fof(f54,plain,
    zero = divergence(sK0),
    inference(cnf_transformation,[],[f53]) ).

fof(f93,plain,
    ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
    inference(definition_unfolding,[],[f76,f88]) ).

fof(f88,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f72,f75,f75]) ).

fof(f72,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',forward_diamond) ).

fof(f76,plain,
    ! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',divergence1) ).

fof(f60,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',domain3) ).

fof(f79,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',multiplicative_right_identity) ).

fof(f983,plain,
    antidomain(antidomain(zero)) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(zero))),
    inference(forward_demodulation,[],[f982,f71]) ).

fof(f71,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',right_annihilation) ).

fof(f982,plain,
    antidomain(antidomain(multiplication(star(sK0),zero))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),zero)))),
    inference(forward_demodulation,[],[f981,f138]) ).

fof(f981,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
    inference(forward_demodulation,[],[f949,f285]) ).

fof(f285,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(forward_demodulation,[],[f284,f71]) ).

fof(f284,plain,
    ! [X0] : addition(multiplication(X0,zero),X0) = X0,
    inference(forward_demodulation,[],[f282,f114]) ).

fof(f282,plain,
    ! [X0] : multiplication(X0,antidomain(zero)) = addition(multiplication(X0,zero),multiplication(X0,antidomain(zero))),
    inference(superposition,[],[f63,f263]) ).

fof(f263,plain,
    antidomain(zero) = addition(zero,antidomain(zero)),
    inference(forward_demodulation,[],[f262,f108]) ).

fof(f262,plain,
    one = addition(zero,antidomain(zero)),
    inference(forward_demodulation,[],[f254,f71]) ).

fof(f254,plain,
    one = addition(zero,antidomain(multiplication(sK0,zero))),
    inference(superposition,[],[f98,f138]) ).

fof(f98,plain,
    one = addition(zero,antidomain(multiplication(sK0,antidomain(antidomain(zero))))),
    inference(superposition,[],[f60,f94]) ).

fof(f63,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.7E44aWThFY/Vampire---4.8_22704',right_distributivity) ).

fof(f949,plain,
    addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))) = addition(antidomain(antidomain(sK1)),addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))))),
    inference(superposition,[],[f129,f94]) ).

fof(f129,plain,
    ! [X0] : addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(antidomain(antidomain(sK1)),addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))),
    inference(forward_demodulation,[],[f127,f54]) ).

fof(f127,plain,
    ! [X0] : addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))),
    inference(trivial_inequality_removal,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(X0))) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(X0)))
      | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))) ),
    inference(superposition,[],[f92,f109]) ).

fof(f109,plain,
    ! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),
    inference(superposition,[],[f66,f91]) ).

fof(f91,plain,
    antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
    inference(definition_unfolding,[],[f55,f88,f75,f75,f88,f75]) ).

fof(f55,plain,
    forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))),
    inference(cnf_transformation,[],[f53]) ).

fof(f66,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',additive_associativity) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))))
      | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) ),
    inference(definition_unfolding,[],[f57,f88,f75,f75,f88,f75,f88,f75,f75,f75,f88,f75,f75]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
      | addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
      | addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( addition(forward_diamond(X1,domain(X0)),domain(X2)) = addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))
     => addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X4,X5] :
      ( addition(forward_diamond(X4,domain(X3)),domain(X5)) = addition(domain(X3),addition(forward_diamond(X4,domain(X3)),domain(X5)))
     => addition(divergence(X4),forward_diamond(star(X4),domain(X5))) = addition(domain(X3),addition(divergence(X4),forward_diamond(star(X4),domain(X5)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.7E44aWThFY/Vampire---4.8_22704',divergence2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KLE128+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % 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
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:22:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.7E44aWThFY/Vampire---4.8_22704
% 0.50/0.69  % (22812)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)
% 0.50/0.69  % (22814)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.69  % (22815)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)
% 0.50/0.69  % (22816)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)
% 0.50/0.69  % (22813)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)
% 0.50/0.69  % (22817)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)
% 0.50/0.69  % (22818)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)
% 0.50/0.69  % (22819)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)
% 0.50/0.69  % (22812)Refutation not found, incomplete strategy% (22812)------------------------------
% 0.50/0.69  % (22812)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (22812)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.69  
% 0.50/0.69  % (22812)Memory used [KB]: 1079
% 0.50/0.69  % (22812)Time elapsed: 0.002 s
% 0.50/0.69  % (22812)Instructions burned: 4 (million)
% 0.50/0.69  % (22812)------------------------------
% 0.50/0.69  % (22812)------------------------------
% 0.50/0.69  % (22816)Refutation not found, incomplete strategy% (22816)------------------------------
% 0.50/0.69  % (22816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (22816)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.69  
% 0.50/0.69  % (22816)Memory used [KB]: 1082
% 0.50/0.69  % (22815)Refutation not found, incomplete strategy% (22815)------------------------------
% 0.50/0.69  % (22815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (22815)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.69  
% 0.50/0.69  % (22815)Memory used [KB]: 1065
% 0.50/0.69  % (22815)Time elapsed: 0.003 s
% 0.50/0.69  % (22815)Instructions burned: 3 (million)
% 0.50/0.69  % (22816)Time elapsed: 0.003 s
% 0.50/0.69  % (22816)Instructions burned: 3 (million)
% 0.50/0.69  % (22819)Refutation not found, incomplete strategy% (22819)------------------------------
% 0.50/0.69  % (22819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (22819)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.69  
% 0.50/0.69  % (22819)Memory used [KB]: 1063
% 0.50/0.69  % (22819)Time elapsed: 0.003 s
% 0.50/0.69  % (22819)Instructions burned: 3 (million)
% 0.50/0.69  % (22815)------------------------------
% 0.50/0.69  % (22815)------------------------------
% 0.50/0.69  % (22816)------------------------------
% 0.50/0.69  % (22816)------------------------------
% 0.50/0.69  % (22819)------------------------------
% 0.50/0.69  % (22819)------------------------------
% 0.50/0.70  % (22820)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)
% 0.50/0.70  % (22821)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.50/0.70  % (22823)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.50/0.70  % (22821)Refutation not found, incomplete strategy% (22821)------------------------------
% 0.50/0.70  % (22821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70  % (22821)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.70  
% 0.50/0.70  % (22821)Memory used [KB]: 1073
% 0.50/0.70  % (22821)Time elapsed: 0.003 s
% 0.50/0.70  % (22821)Instructions burned: 4 (million)
% 0.50/0.70  % (22821)------------------------------
% 0.50/0.70  % (22821)------------------------------
% 0.50/0.70  % (22824)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.50/0.70  % (22822)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.50/0.71  % (22820)Instruction limit reached!
% 0.50/0.71  % (22820)------------------------------
% 0.50/0.71  % (22820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71  % (22820)Termination reason: Unknown
% 0.50/0.71  % (22820)Termination phase: Saturation
% 0.50/0.71  
% 0.50/0.71  % (22820)Memory used [KB]: 1400
% 0.50/0.71  % (22820)Time elapsed: 0.017 s
% 0.50/0.71  % (22820)Instructions burned: 58 (million)
% 0.50/0.71  % (22820)------------------------------
% 0.50/0.71  % (22820)------------------------------
% 0.50/0.71  % (22817)Instruction limit reached!
% 0.50/0.71  % (22817)------------------------------
% 0.50/0.71  % (22817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71  % (22817)Termination reason: Unknown
% 0.50/0.71  % (22817)Termination phase: Saturation
% 0.50/0.71  
% 0.50/0.71  % (22817)Memory used [KB]: 1265
% 0.50/0.71  % (22817)Time elapsed: 0.022 s
% 0.50/0.71  % (22817)Instructions burned: 45 (million)
% 0.50/0.71  % (22817)------------------------------
% 0.50/0.71  % (22817)------------------------------
% 0.50/0.71  % (22825)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.50/0.72  % (22813)Instruction limit reached!
% 0.50/0.72  % (22813)------------------------------
% 0.50/0.72  % (22813)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72  % (22813)Termination reason: Unknown
% 0.50/0.72  % (22813)Termination phase: Saturation
% 0.50/0.72  
% 0.50/0.72  % (22813)Memory used [KB]: 1332
% 0.50/0.72  % (22813)Time elapsed: 0.025 s
% 0.50/0.72  % (22813)Instructions burned: 51 (million)
% 0.50/0.72  % (22813)------------------------------
% 0.50/0.72  % (22813)------------------------------
% 0.50/0.72  % (22825)Refutation not found, incomplete strategy% (22825)------------------------------
% 0.50/0.72  % (22825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72  % (22825)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72  
% 0.50/0.72  % (22825)Memory used [KB]: 1079
% 0.50/0.72  % (22825)Time elapsed: 0.002 s
% 0.50/0.72  % (22825)Instructions burned: 3 (million)
% 0.50/0.72  % (22825)------------------------------
% 0.50/0.72  % (22825)------------------------------
% 0.50/0.72  % (22826)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.50/0.72  % (22827)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.60/0.72  % (22828)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.60/0.72  % (22827)Refutation not found, incomplete strategy% (22827)------------------------------
% 0.60/0.72  % (22827)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.72  % (22827)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.72  
% 0.60/0.72  % (22827)Memory used [KB]: 1062
% 0.60/0.72  % (22827)Time elapsed: 0.003 s
% 0.60/0.72  % (22827)Instructions burned: 3 (million)
% 0.60/0.72  % (22827)------------------------------
% 0.60/0.72  % (22827)------------------------------
% 0.60/0.72  % (22828)Refutation not found, incomplete strategy% (22828)------------------------------
% 0.60/0.72  % (22828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.72  % (22828)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.72  
% 0.60/0.72  % (22828)Memory used [KB]: 1087
% 0.60/0.72  % (22828)Time elapsed: 0.004 s
% 0.60/0.72  % (22828)Instructions burned: 6 (million)
% 0.60/0.72  % (22828)------------------------------
% 0.60/0.72  % (22828)------------------------------
% 0.60/0.73  % (22830)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.60/0.73  % (22823)Instruction limit reached!
% 0.60/0.73  % (22823)------------------------------
% 0.60/0.73  % (22823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.73  % (22823)Termination reason: Unknown
% 0.60/0.73  % (22823)Termination phase: Saturation
% 0.60/0.73  
% 0.60/0.73  % (22823)Memory used [KB]: 1930
% 0.60/0.73  % (22823)Time elapsed: 0.031 s
% 0.60/0.73  % (22829)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.60/0.73  % (22823)Instructions burned: 53 (million)
% 0.60/0.73  % (22823)------------------------------
% 0.60/0.73  % (22823)------------------------------
% 0.60/0.73  % (22830)Refutation not found, incomplete strategy% (22830)------------------------------
% 0.60/0.73  % (22830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.73  % (22830)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.73  
% 0.60/0.73  % (22830)Memory used [KB]: 1072
% 0.60/0.73  % (22830)Time elapsed: 0.003 s
% 0.60/0.73  % (22830)Instructions burned: 3 (million)
% 0.60/0.73  % (22830)------------------------------
% 0.60/0.73  % (22830)------------------------------
% 0.60/0.73  % (22824)First to succeed.
% 0.60/0.73  % (22824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22811"
% 0.60/0.73  % (22814)Instruction limit reached!
% 0.60/0.73  % (22814)------------------------------
% 0.60/0.73  % (22814)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.73  % (22814)Termination reason: Unknown
% 0.60/0.73  % (22814)Termination phase: Saturation
% 0.60/0.73  
% 0.60/0.73  % (22814)Memory used [KB]: 1977
% 0.60/0.73  % (22814)Time elapsed: 0.040 s
% 0.60/0.73  % (22814)Instructions burned: 78 (million)
% 0.60/0.73  % (22814)------------------------------
% 0.60/0.73  % (22814)------------------------------
% 0.60/0.73  % (22818)Instruction limit reached!
% 0.60/0.73  % (22818)------------------------------
% 0.60/0.73  % (22818)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.73  % (22818)Termination reason: Unknown
% 0.60/0.73  % (22818)Termination phase: Saturation
% 0.60/0.73  
% 0.60/0.73  % (22818)Memory used [KB]: 1551
% 0.60/0.73  % (22818)Time elapsed: 0.040 s
% 0.60/0.73  % (22818)Instructions burned: 83 (million)
% 0.60/0.73  % (22818)------------------------------
% 0.60/0.73  % (22818)------------------------------
% 0.60/0.73  % (22832)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.60/0.73  % (22824)Refutation found. Thanks to Tanya!
% 0.60/0.73  % SZS status Theorem for Vampire---4
% 0.60/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.73  % (22824)------------------------------
% 0.60/0.73  % (22824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.73  % (22824)Termination reason: Refutation
% 0.60/0.73  
% 0.60/0.73  % (22824)Memory used [KB]: 1474
% 0.60/0.73  % (22824)Time elapsed: 0.029 s
% 0.60/0.73  % (22824)Instructions burned: 60 (million)
% 0.60/0.73  % (22811)Success in time 0.36 s
% 0.60/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------