TSTP Solution File: SWV190+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV190+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : 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 : Wed May  1 04:02:48 EDT 2024

% Result   : Theorem 0.78s 0.95s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :  191 ( 145 equ)
%            Maximal formula atoms :   32 (   7 avg)
%            Number of connectives :  180 (  14   ~;   8   |; 150   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  15 con; 0-3 aty)
%            Number of variables   :   32 (  28   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f326,plain,
    $false,
    inference(subsumption_resolution,[],[f325,f195]) ).

fof(f195,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.gNYu1CGPkH/Vampire---4.8_22405',irreflexivity_gt) ).

fof(f325,plain,
    gt(n0,n0),
    inference(forward_demodulation,[],[f319,f206]) ).

fof(f206,plain,
    n0 = plus(n1,tptp_minus_1),
    inference(definition_unfolding,[],[f160,f198]) ).

fof(f198,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.gNYu1CGPkH/Vampire---4.8_22405',succ_plus_1_l) ).

fof(f160,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    n0 = succ(tptp_minus_1),
    file('/export/starexec/sandbox2/tmp/tmp.gNYu1CGPkH/Vampire---4.8_22405',succ_tptp_minus_1) ).

fof(f319,plain,
    gt(plus(n1,tptp_minus_1),n0),
    inference(unit_resulting_resolution,[],[f274,f203]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( gt(plus(n1,X1),X0)
      | ~ leq(X0,X1) ),
    inference(definition_unfolding,[],[f148,f198]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( gt(succ(X1),X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> gt(succ(X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.gNYu1CGPkH/Vampire---4.8_22405',leq_succ_gt_equiv) ).

fof(f274,plain,
    leq(n0,tptp_minus_1),
    inference(unit_resulting_resolution,[],[f112,f114,f152]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | ~ leq(X0,X1)
      | leq(X0,X2) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.gNYu1CGPkH/Vampire---4.8_22405',transitivity_leq) ).

fof(f114,plain,
    leq(sK1,tptp_minus_1),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ? [X0,X1] :
        ( use != a_select3(u_defuse,X0,X1)
        & leq(X1,tptp_minus_1)
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ( ? [X0,X1] :
        ( use != a_select3(u_defuse,X0,X1)
        & leq(X1,tptp_minus_1)
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ~ ( ( use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0) )
     => ! [X0,X1] :
          ( ( leq(X1,tptp_minus_1)
            & leq(X0,n2)
            & leq(n0,X1)
            & leq(n0,X0) )
         => use = a_select3(u_defuse,X0,X1) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0) )
     => ! [X13,X17] :
          ( ( leq(X17,tptp_minus_1)
            & leq(X13,n2)
            & leq(n0,X17)
            & leq(n0,X13) )
         => use = a_select3(u_defuse,X13,X17) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n2)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_mean_defuse,n0)
      & use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(rho_defuse,n0) )
   => ! [X13,X17] :
        ( ( leq(X17,tptp_minus_1)
          & leq(X13,n2)
          & leq(n0,X17)
          & leq(n0,X13) )
       => use = a_select3(u_defuse,X13,X17) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gNYu1CGPkH/Vampire---4.8_22405',quaternion_ds1_inuse_0001) ).

fof(f112,plain,
    leq(n0,sK1),
    inference(cnf_transformation,[],[f89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWV190+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.15/0.16  % 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 : n014.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 18:23:04 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.gNYu1CGPkH/Vampire---4.8_22405
% 0.78/0.94  % (22718)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.78/0.94  % (22716)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 (2994ds/34Mi)
% 0.78/0.94  % (22719)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.78/0.94  % (22720)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 (2994ds/34Mi)
% 0.78/0.94  % (22717)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 (2994ds/51Mi)
% 0.78/0.94  % (22721)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.78/0.94  % (22722)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 (2994ds/83Mi)
% 0.78/0.95  % (22723)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 (2994ds/56Mi)
% 0.78/0.95  % (22723)Refutation not found, incomplete strategy% (22723)------------------------------
% 0.78/0.95  % (22723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.78/0.95  % (22723)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.95  
% 0.78/0.95  % (22723)Memory used [KB]: 1098
% 0.78/0.95  % (22723)Time elapsed: 0.004 s
% 0.78/0.95  % (22723)Instructions burned: 5 (million)
% 0.78/0.95  % (22723)------------------------------
% 0.78/0.95  % (22723)------------------------------
% 0.78/0.95  % (22722)First to succeed.
% 0.78/0.95  % (22722)Refutation found. Thanks to Tanya!
% 0.78/0.95  % SZS status Theorem for Vampire---4
% 0.78/0.95  % SZS output start Proof for Vampire---4
% See solution above
% 0.78/0.95  % (22722)------------------------------
% 0.78/0.95  % (22722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.78/0.95  % (22722)Termination reason: Refutation
% 0.78/0.95  
% 0.78/0.95  % (22722)Memory used [KB]: 1171
% 0.78/0.95  % (22722)Time elapsed: 0.007 s
% 0.78/0.95  % (22722)Instructions burned: 11 (million)
% 0.78/0.95  % (22722)------------------------------
% 0.78/0.95  % (22722)------------------------------
% 0.78/0.95  % (22621)Success in time 0.57 s
% 0.78/0.95  % Vampire---4.8 exiting
%------------------------------------------------------------------------------