TSTP Solution File: SWV104+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV104+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 10:28:03 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   50 (  14 unt;   0 def)
%            Number of atoms       :  145 ( 109 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  150 (  55   ~;  53   |;  34   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-3 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f300,plain,
    $false,
    inference(avatar_sat_refutation,[],[f221,f239,f253,f278,f296]) ).

fof(f296,plain,
    ~ spl1_3,
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f287,f177]) ).

fof(f177,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.Ma1ljfAuR5/Vampire---4.8_4042',irreflexivity_gt) ).

fof(f287,plain,
    ( gt(n3,n3)
    | ~ spl1_3 ),
    inference(superposition,[],[f149,f248]) ).

fof(f248,plain,
    ( n3 = n5
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl1_3
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f149,plain,
    gt(n5,n3),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    gt(n5,n3),
    file('/export/starexec/sandbox/tmp/tmp.Ma1ljfAuR5/Vampire---4.8_4042',gt_5_3) ).

fof(f278,plain,
    spl1_4,
    inference(avatar_contradiction_clause,[],[f277]) ).

fof(f277,plain,
    ( $false
    | spl1_4 ),
    inference(subsumption_resolution,[],[f270,f129]) ).

fof(f129,plain,
    ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
    file('/export/starexec/sandbox/tmp/tmp.Ma1ljfAuR5/Vampire---4.8_4042',sel2_update_1) ).

fof(f270,plain,
    ( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n3,use),n3)
    | spl1_4 ),
    inference(superposition,[],[f252,f257]) ).

fof(f257,plain,
    ( n3 = n4
    | spl1_4 ),
    inference(subsumption_resolution,[],[f256,f129]) ).

fof(f256,plain,
    ( use != a_select2(tptp_update2(xinit_defuse,n3,use),n3)
    | n3 = n4
    | spl1_4 ),
    inference(superposition,[],[f252,f208]) ).

fof(f208,plain,
    ! [X2,X0,X1,X4] :
      ( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
      | X0 = X1 ),
    inference(equality_resolution,[],[f128]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X0 = X1
      | a_select2(X2,X1) != X3
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(tptp_update2(X2,X0,X4),X1) = X3
      | a_select2(X2,X1) != X3
      | X0 = X1 ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(tptp_update2(X2,X0,X4),X1) = X3
      | a_select2(X2,X1) != X3
      | X0 = X1 ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( a_select2(X2,X1) = X3
        & X0 != X1 )
     => a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X4,X6,X0,X16,X24] :
      ( ( a_select2(X0,X6) = X16
        & X4 != X6 )
     => a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
    file('/export/starexec/sandbox/tmp/tmp.Ma1ljfAuR5/Vampire---4.8_4042',sel2_update_2) ).

fof(f252,plain,
    ( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3)
    | spl1_4 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl1_4
  <=> use = a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f253,plain,
    ( spl1_3
    | ~ spl1_4
    | spl1_2 ),
    inference(avatar_split_clause,[],[f244,f218,f250,f246]) ).

fof(f218,plain,
    ( spl1_2
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f244,plain,
    ( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3)
    | n3 = n5
    | spl1_2 ),
    inference(superposition,[],[f220,f208]) ).

fof(f220,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f239,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f238]) ).

fof(f238,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f234,f129]) ).

fof(f234,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n4,use),n4)
    | spl1_1 ),
    inference(superposition,[],[f216,f225]) ).

fof(f225,plain,
    ( n4 = n5
    | spl1_1 ),
    inference(subsumption_resolution,[],[f224,f129]) ).

fof(f224,plain,
    ( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n4)
    | n4 = n5
    | spl1_1 ),
    inference(superposition,[],[f216,f208]) ).

fof(f216,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl1_1
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f221,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f212,f218,f214]) ).

fof(f212,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) ),
    inference(subsumption_resolution,[],[f211,f129]) ).

fof(f211,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) ),
    inference(subsumption_resolution,[],[f210,f120]) ).

fof(f120,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
      | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
      | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),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(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) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ( ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
      | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
      | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),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(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) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( 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(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
        & use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
        & use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( 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(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
      & use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
      & use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select3(u_defuse,n0,n0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Ma1ljfAuR5/Vampire---4.8_4042',quaternion_ds1_inuse_0016) ).

fof(f210,plain,
    ( use != a_select3(u_defuse,n2,n0)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) ),
    inference(subsumption_resolution,[],[f209,f119]) ).

fof(f119,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f91]) ).

fof(f209,plain,
    ( use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) ),
    inference(subsumption_resolution,[],[f117,f118]) ).

fof(f118,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f91]) ).

fof(f117,plain,
    ( use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) ),
    inference(cnf_transformation,[],[f91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWV104+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.14  % 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
% 0.15/0.34  % Computer : n002.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 21:13:38 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.Ma1ljfAuR5/Vampire---4.8_4042
% 0.56/0.73  % (4157)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)
% 0.56/0.74  % (4150)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)
% 0.56/0.74  % (4152)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (4154)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)
% 0.56/0.74  % (4153)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)
% 0.56/0.74  % (4151)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)
% 0.56/0.74  % (4155)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)
% 0.56/0.74  % (4156)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)
% 0.56/0.74  % (4153)Refutation not found, incomplete strategy% (4153)------------------------------
% 0.56/0.74  % (4153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4153)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4153)Memory used [KB]: 1092
% 0.56/0.74  % (4153)Time elapsed: 0.005 s
% 0.56/0.74  % (4153)Instructions burned: 6 (million)
% 0.56/0.74  % (4150)Refutation not found, incomplete strategy% (4150)------------------------------
% 0.56/0.74  % (4150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4150)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4150)Memory used [KB]: 1103
% 0.56/0.74  % (4150)Time elapsed: 0.005 s
% 0.56/0.74  % (4150)Instructions burned: 6 (million)
% 0.56/0.74  % (4150)------------------------------
% 0.56/0.74  % (4150)------------------------------
% 0.56/0.74  % (4153)------------------------------
% 0.56/0.74  % (4153)------------------------------
% 0.56/0.74  % (4156)First to succeed.
% 0.56/0.74  % (4156)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4149"
% 0.56/0.74  % (4155)Also succeeded, but the first one will report.
% 0.56/0.74  % (4158)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)
% 0.56/0.74  % (4156)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (4156)------------------------------
% 0.56/0.75  % (4156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4156)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (4156)Memory used [KB]: 1176
% 0.56/0.75  % (4156)Time elapsed: 0.009 s
% 0.56/0.75  % (4156)Instructions burned: 12 (million)
% 0.56/0.75  % (4149)Success in time 0.388 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------