TSTP Solution File: KLE131+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE131+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 : n014.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 07:16:19 EDT 2024

% Result   : Theorem 0.87s 0.85s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   64 (  58 unt;   0 def)
%            Number of atoms       :   72 (  71 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :   17 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :   81 (  79   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1842,plain,
    $false,
    inference(subsumption_resolution,[],[f1833,f54]) ).

fof(f54,plain,
    zero != divergence(sK0),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( zero != divergence(sK0)
    & ! [X1] : forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) = addition(domain(X1),forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1))))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f49,f51]) ).

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

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

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

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

fof(f29,conjecture,
    ! [X3] :
      ( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(domain(X4),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
     => zero = divergence(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',goals) ).

fof(f1833,plain,
    zero = divergence(sK0),
    inference(superposition,[],[f1013,f63]) ).

fof(f63,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',additive_identity) ).

fof(f1013,plain,
    zero = addition(divergence(sK0),zero),
    inference(forward_demodulation,[],[f1012,f900]) ).

fof(f900,plain,
    zero = antidomain(antidomain(zero)),
    inference(superposition,[],[f727,f829]) ).

fof(f829,plain,
    one = antidomain(zero),
    inference(forward_demodulation,[],[f802,f63]) ).

fof(f802,plain,
    one = addition(antidomain(zero),zero),
    inference(superposition,[],[f58,f727]) ).

fof(f58,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/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',domain3) ).

fof(f727,plain,
    zero = antidomain(one),
    inference(superposition,[],[f660,f63]) ).

fof(f660,plain,
    ! [X0] : addition(antidomain(one),X0) = X0,
    inference(superposition,[],[f628,f77]) ).

fof(f77,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',multiplicative_right_identity) ).

fof(f628,plain,
    ! [X0,X1] : addition(multiplication(antidomain(X0),X0),X1) = X1,
    inference(superposition,[],[f612,f67]) ).

fof(f67,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/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',domain1) ).

fof(f612,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(forward_demodulation,[],[f604,f63]) ).

fof(f604,plain,
    ! [X0] : addition(X0,zero) = addition(zero,addition(X0,zero)),
    inference(superposition,[],[f250,f65]) ).

fof(f65,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/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',additive_commutativity) ).

fof(f250,plain,
    ! [X1] : addition(zero,X1) = addition(zero,addition(zero,X1)),
    inference(forward_demodulation,[],[f243,f237]) ).

fof(f237,plain,
    ! [X0] : zero = multiplication(antidomain(antidomain(X0)),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),
    inference(superposition,[],[f185,f63]) ).

fof(f185,plain,
    ! [X0] : zero = addition(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),zero),
    inference(superposition,[],[f96,f67]) ).

fof(f96,plain,
    ! [X0,X1] : multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),X1) = addition(multiplication(antidomain(antidomain(X0)),X1),multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),X1)),
    inference(superposition,[],[f60,f88]) ).

fof(f88,plain,
    ! [X1] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))) = addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))),
    inference(definition_unfolding,[],[f53,f86,f85,f73,f86,f73,f73,f86,f85,f73,f86,f73]) ).

fof(f73,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/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',domain4) ).

fof(f85,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
    inference(definition_unfolding,[],[f71,f73]) ).

fof(f71,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3,X4] : domain_difference(X3,X4) = multiplication(domain(X3),antidomain(X4)),
    file('/export/starexec/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',domain_difference) ).

fof(f86,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f70,f73,f73]) ).

fof(f70,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/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',forward_diamond) ).

fof(f53,plain,
    ! [X1] : forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) = addition(domain(X1),forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1))))),
    inference(cnf_transformation,[],[f52]) ).

fof(f60,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/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',left_distributivity) ).

fof(f243,plain,
    ! [X0,X1] : addition(zero,X1) = addition(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),addition(zero,X1)),
    inference(superposition,[],[f64,f185]) ).

fof(f64,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/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',additive_associativity) ).

fof(f1012,plain,
    antidomain(antidomain(zero)) = addition(divergence(sK0),antidomain(antidomain(zero))),
    inference(forward_demodulation,[],[f962,f69]) ).

fof(f69,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',right_annihilation) ).

fof(f962,plain,
    antidomain(antidomain(multiplication(star(sK0),zero))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),zero)))),
    inference(superposition,[],[f101,f900]) ).

fof(f101,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
    inference(forward_demodulation,[],[f97,f67]) ).

fof(f97,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(divergence(sK0)))))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(divergence(sK0))))))))),
    inference(superposition,[],[f92,f90]) ).

fof(f90,plain,
    ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
    inference(definition_unfolding,[],[f74,f86]) ).

fof(f74,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/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833',divergence1) ).

fof(f92,plain,
    ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))) = addition(divergence(X0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))))))))))),
    inference(superposition,[],[f88,f90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KLE131+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15  % 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
% 0.14/0.36  % Computer : n014.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 21:20:38 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.6K3rqmEAZR/Vampire---4.8_29833
% 0.58/0.75  % (29948)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)
% 0.58/0.75  % (29941)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)
% 0.58/0.75  % (29948)Refutation not found, incomplete strategy% (29948)------------------------------
% 0.58/0.75  % (29948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (29948)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (29948)Memory used [KB]: 1063
% 0.58/0.75  % (29948)Time elapsed: 0.002 s
% 0.58/0.75  % (29948)Instructions burned: 3 (million)
% 0.58/0.75  % (29945)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)
% 0.58/0.75  % (29944)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)
% 0.58/0.75  % (29943)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (29942)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)
% 0.58/0.75  % (29946)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)
% 0.58/0.75  % (29947)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)
% 0.58/0.75  % (29948)------------------------------
% 0.58/0.75  % (29948)------------------------------
% 0.58/0.75  % (29945)Refutation not found, incomplete strategy% (29945)------------------------------
% 0.58/0.75  % (29945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (29945)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (29945)Memory used [KB]: 1080
% 0.58/0.75  % (29945)Time elapsed: 0.003 s
% 0.58/0.75  % (29945)Instructions burned: 3 (million)
% 0.58/0.75  % (29941)Refutation not found, incomplete strategy% (29941)------------------------------
% 0.58/0.75  % (29941)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (29941)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (29941)Memory used [KB]: 1078
% 0.58/0.75  % (29941)Time elapsed: 0.003 s
% 0.58/0.75  % (29941)Instructions burned: 4 (million)
% 0.58/0.75  % (29945)------------------------------
% 0.58/0.75  % (29945)------------------------------
% 0.58/0.75  % (29944)Refutation not found, incomplete strategy% (29944)------------------------------
% 0.58/0.75  % (29944)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (29944)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (29944)Memory used [KB]: 1068
% 0.58/0.75  % (29944)Time elapsed: 0.003 s
% 0.58/0.75  % (29944)Instructions burned: 4 (million)
% 0.58/0.75  % (29941)------------------------------
% 0.58/0.75  % (29941)------------------------------
% 0.58/0.75  % (29944)------------------------------
% 0.58/0.75  % (29944)------------------------------
% 0.58/0.75  % (29949)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)
% 0.58/0.76  % (29950)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)
% 0.58/0.76  % (29951)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)
% 0.58/0.76  % (29952)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)
% 0.58/0.76  % (29950)Refutation not found, incomplete strategy% (29950)------------------------------
% 0.58/0.76  % (29950)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (29950)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (29950)Memory used [KB]: 1070
% 0.58/0.76  % (29950)Time elapsed: 0.003 s
% 0.58/0.76  % (29950)Instructions burned: 4 (million)
% 0.58/0.76  % (29950)------------------------------
% 0.58/0.76  % (29950)------------------------------
% 0.61/0.76  % (29953)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)
% 0.61/0.77  % (29949)Instruction limit reached!
% 0.61/0.77  % (29949)------------------------------
% 0.61/0.77  % (29949)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (29949)Termination reason: Unknown
% 0.61/0.77  % (29949)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (29949)Memory used [KB]: 1265
% 0.61/0.77  % (29949)Time elapsed: 0.017 s
% 0.61/0.77  % (29949)Instructions burned: 55 (million)
% 0.61/0.77  % (29949)------------------------------
% 0.61/0.77  % (29949)------------------------------
% 0.61/0.77  % (29954)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 (2995ds/42Mi)
% 0.61/0.77  % (29954)Refutation not found, incomplete strategy% (29954)------------------------------
% 0.61/0.77  % (29954)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (29954)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (29954)Memory used [KB]: 1078
% 0.61/0.77  % (29954)Time elapsed: 0.002 s
% 0.61/0.77  % (29954)Instructions burned: 3 (million)
% 0.61/0.77  % (29946)Instruction limit reached!
% 0.61/0.77  % (29946)------------------------------
% 0.61/0.77  % (29946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (29946)Termination reason: Unknown
% 0.61/0.77  % (29946)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (29946)Memory used [KB]: 1404
% 0.61/0.77  % (29954)------------------------------
% 0.61/0.77  % (29954)------------------------------
% 0.61/0.77  % (29946)Time elapsed: 0.024 s
% 0.61/0.77  % (29946)Instructions burned: 46 (million)
% 0.61/0.77  % (29946)------------------------------
% 0.61/0.77  % (29946)------------------------------
% 0.61/0.78  % (29955)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 (2995ds/243Mi)
% 0.61/0.78  % (29942)Instruction limit reached!
% 0.61/0.78  % (29942)------------------------------
% 0.61/0.78  % (29942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (29942)Termination reason: Unknown
% 0.61/0.78  % (29942)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (29942)Memory used [KB]: 1611
% 0.61/0.78  % (29942)Time elapsed: 0.028 s
% 0.61/0.78  % (29942)Instructions burned: 52 (million)
% 0.61/0.78  % (29942)------------------------------
% 0.61/0.78  % (29942)------------------------------
% 0.61/0.78  % (29956)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 (2995ds/117Mi)
% 0.61/0.78  % (29956)Refutation not found, incomplete strategy% (29956)------------------------------
% 0.61/0.78  % (29956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (29956)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (29956)Memory used [KB]: 1063
% 0.61/0.78  % (29956)Time elapsed: 0.004 s
% 0.61/0.78  % (29956)Instructions burned: 3 (million)
% 0.61/0.78  % (29956)------------------------------
% 0.61/0.78  % (29956)------------------------------
% 0.61/0.78  % (29957)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 (2995ds/143Mi)
% 0.61/0.78  % (29958)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 (2995ds/93Mi)
% 0.61/0.79  % (29957)Refutation not found, incomplete strategy% (29957)------------------------------
% 0.61/0.79  % (29957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (29957)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (29957)Memory used [KB]: 1085
% 0.61/0.79  % (29957)Time elapsed: 0.004 s
% 0.61/0.79  % (29957)Instructions burned: 6 (million)
% 0.61/0.79  % (29957)------------------------------
% 0.61/0.79  % (29957)------------------------------
% 0.61/0.79  % (29952)Instruction limit reached!
% 0.61/0.79  % (29952)------------------------------
% 0.61/0.79  % (29952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (29952)Termination reason: Unknown
% 0.61/0.79  % (29952)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (29952)Memory used [KB]: 1837
% 0.61/0.79  % (29952)Time elapsed: 0.032 s
% 0.61/0.79  % (29952)Instructions burned: 53 (million)
% 0.61/0.79  % (29952)------------------------------
% 0.61/0.79  % (29952)------------------------------
% 0.61/0.79  % (29959)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 (2995ds/62Mi)
% 0.61/0.79  % (29959)Refutation not found, incomplete strategy% (29959)------------------------------
% 0.61/0.79  % (29959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (29959)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (29959)Memory used [KB]: 1070
% 0.61/0.79  % (29959)Time elapsed: 0.003 s
% 0.61/0.79  % (29959)Instructions burned: 4 (million)
% 0.61/0.79  % (29959)------------------------------
% 0.61/0.79  % (29959)------------------------------
% 0.61/0.79  % (29960)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.79  % (29947)Instruction limit reached!
% 0.61/0.79  % (29947)------------------------------
% 0.61/0.79  % (29947)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (29947)Termination reason: Unknown
% 0.61/0.79  % (29947)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (29947)Memory used [KB]: 1743
% 0.61/0.79  % (29947)Time elapsed: 0.044 s
% 0.61/0.79  % (29947)Instructions burned: 85 (million)
% 0.61/0.79  % (29947)------------------------------
% 0.61/0.79  % (29947)------------------------------
% 0.61/0.80  % (29943)Instruction limit reached!
% 0.61/0.80  % (29943)------------------------------
% 0.61/0.80  % (29943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (29943)Termination reason: Unknown
% 0.61/0.80  % (29943)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (29943)Memory used [KB]: 1971
% 0.61/0.80  % (29943)Time elapsed: 0.046 s
% 0.61/0.80  % (29943)Instructions burned: 79 (million)
% 0.61/0.80  % (29943)------------------------------
% 0.61/0.80  % (29943)------------------------------
% 0.61/0.80  % (29961)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 (2995ds/1919Mi)
% 0.61/0.80  % (29962)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.80  % (29963)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.61/0.80  % (29962)Refutation not found, incomplete strategy% (29962)------------------------------
% 0.61/0.80  % (29962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (29962)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (29962)Memory used [KB]: 1084
% 0.61/0.80  % (29962)Time elapsed: 0.003 s
% 0.61/0.80  % (29962)Instructions burned: 4 (million)
% 0.61/0.80  % (29962)------------------------------
% 0.61/0.80  % (29962)------------------------------
% 0.61/0.81  % (29964)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.61/0.81  % (29964)Refutation not found, incomplete strategy% (29964)------------------------------
% 0.61/0.81  % (29964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (29964)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (29964)Memory used [KB]: 1067
% 0.61/0.81  % (29964)Time elapsed: 0.003 s
% 0.61/0.81  % (29964)Instructions burned: 3 (million)
% 0.61/0.81  % (29964)------------------------------
% 0.61/0.81  % (29964)------------------------------
% 0.61/0.81  % (29960)Instruction limit reached!
% 0.61/0.81  % (29960)------------------------------
% 0.61/0.81  % (29960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (29960)Termination reason: Unknown
% 0.61/0.81  % (29960)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (29960)Memory used [KB]: 1289
% 0.61/0.81  % (29960)Time elapsed: 0.018 s
% 0.61/0.81  % (29960)Instructions burned: 33 (million)
% 0.61/0.81  % (29960)------------------------------
% 0.61/0.81  % (29960)------------------------------
% 0.61/0.81  % (29965)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.61/0.81  % (29966)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.87/0.83  % (29963)Instruction limit reached!
% 0.87/0.83  % (29963)------------------------------
% 0.87/0.83  % (29963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.83  % (29963)Termination reason: Unknown
% 0.87/0.83  % (29963)Termination phase: Saturation
% 0.87/0.83  
% 0.87/0.83  % (29963)Memory used [KB]: 1523
% 0.87/0.83  % (29963)Time elapsed: 0.028 s
% 0.87/0.83  % (29963)Instructions burned: 54 (million)
% 0.87/0.83  % (29963)------------------------------
% 0.87/0.83  % (29963)------------------------------
% 0.87/0.83  % (29967)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.87/0.83  % (29966)Instruction limit reached!
% 0.87/0.83  % (29966)------------------------------
% 0.87/0.83  % (29966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.83  % (29966)Termination reason: Unknown
% 0.87/0.83  % (29966)Termination phase: Saturation
% 0.87/0.83  
% 0.87/0.83  % (29966)Memory used [KB]: 1349
% 0.87/0.83  % (29966)Time elapsed: 0.021 s
% 0.87/0.83  % (29966)Instructions burned: 35 (million)
% 0.87/0.83  % (29966)------------------------------
% 0.87/0.83  % (29966)------------------------------
% 0.87/0.83  % (29958)Instruction limit reached!
% 0.87/0.83  % (29958)------------------------------
% 0.87/0.83  % (29958)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.83  % (29958)Termination reason: Unknown
% 0.87/0.83  % (29958)Termination phase: Saturation
% 0.87/0.83  
% 0.87/0.83  % (29958)Memory used [KB]: 1935
% 0.87/0.84  % (29958)Time elapsed: 0.052 s
% 0.87/0.84  % (29958)Instructions burned: 93 (million)
% 0.87/0.84  % (29958)------------------------------
% 0.87/0.84  % (29958)------------------------------
% 0.87/0.84  % (29968)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.87/0.84  % (29969)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.87/0.84  % (29969)Refutation not found, incomplete strategy% (29969)------------------------------
% 0.87/0.84  % (29969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.84  % (29969)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.84  
% 0.87/0.84  % (29969)Memory used [KB]: 1070
% 0.87/0.84  % (29969)Time elapsed: 0.003 s
% 0.87/0.84  % (29969)Instructions burned: 3 (million)
% 0.87/0.84  % (29969)------------------------------
% 0.87/0.84  % (29969)------------------------------
% 0.87/0.84  % (29955)Instruction limit reached!
% 0.87/0.84  % (29955)------------------------------
% 0.87/0.84  % (29955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.84  % (29955)Termination reason: Unknown
% 0.87/0.84  % (29955)Termination phase: Saturation
% 0.87/0.84  
% 0.87/0.84  % (29955)Memory used [KB]: 2666
% 0.87/0.84  % (29955)Time elapsed: 0.069 s
% 0.87/0.84  % (29955)Instructions burned: 243 (million)
% 0.87/0.84  % (29955)------------------------------
% 0.87/0.84  % (29955)------------------------------
% 0.87/0.85  % (29970)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.87/0.85  % (29971)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.87/0.85  % (29970)Refutation not found, incomplete strategy% (29970)------------------------------
% 0.87/0.85  % (29970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.85  % (29970)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.85  
% 0.87/0.85  % (29970)Memory used [KB]: 1084
% 0.87/0.85  % (29970)Time elapsed: 0.003 s
% 0.87/0.85  % (29970)Instructions burned: 4 (million)
% 0.87/0.85  % (29970)------------------------------
% 0.87/0.85  % (29970)------------------------------
% 0.87/0.85  % (29953)First to succeed.
% 0.87/0.85  % (29953)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29940"
% 0.87/0.85  % (29953)Refutation found. Thanks to Tanya!
% 0.87/0.85  % SZS status Theorem for Vampire---4
% 0.87/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.87/0.85  % (29953)------------------------------
% 0.87/0.85  % (29953)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.85  % (29953)Termination reason: Refutation
% 0.87/0.85  
% 0.87/0.85  % (29953)Memory used [KB]: 2024
% 0.87/0.85  % (29953)Time elapsed: 0.088 s
% 0.87/0.85  % (29953)Instructions burned: 182 (million)
% 0.87/0.85  % (29940)Success in time 0.475 s
% 0.87/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------