TSTP Solution File: SWV089+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV089+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 10:27:59 EDT 2024

% Result   : Theorem 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   98 (  23 unt;   0 def)
%            Number of atoms       :  230 ( 133 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  213 (  81   ~;  93   |;  21   &)
%                                         (  12 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   16 (  14 usr;  14 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-4 aty)
%            Number of variables   :   98 (  98   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f523,plain,
    $false,
    inference(avatar_sat_refutation,[],[f247,f261,f275,f283,f297,f324,f370,f386,f400,f407,f419,f432,f522]) ).

fof(f522,plain,
    spl6_4,
    inference(avatar_contradiction_clause,[],[f521]) ).

fof(f521,plain,
    ( $false
    | spl6_4 ),
    inference(subsumption_resolution,[],[f491,f141]) ).

fof(f141,plain,
    ! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X6,X23,X16] : a_select3(tptp_update3(X0,X6,X23,X16),X6,X23) = X16,
    file('/export/starexec/sandbox/tmp/tmp.UE4AklqmY0/Vampire---4.8_603',sel3_update_1) ).

fof(f491,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n0,n0,use),n2,n0,use),n0,n0,use),n0,n0,use),n0,n0,use),n0,n0)
    | spl6_4 ),
    inference(superposition,[],[f246,f460]) ).

fof(f460,plain,
    ( n0 = n1
    | spl6_4 ),
    inference(subsumption_resolution,[],[f459,f141]) ).

fof(f459,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n1,n0)
    | n0 = n1
    | spl6_4 ),
    inference(superposition,[],[f246,f228]) ).

fof(f228,plain,
    ! [X2,X3,X0,X6,X4] :
      ( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
      | X0 = X2 ),
    inference(equality_resolution,[],[f227]) ).

fof(f227,plain,
    ! [X2,X3,X0,X6,X4,X5] :
      ( X0 = X2
      | a_select3(X4,X2,X3) != X5
      | a_select3(tptp_update3(X4,X0,X3,X6),X2,X3) = X5 ),
    inference(equality_resolution,[],[f140]) ).

fof(f140,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( X0 = X2
      | X1 != X3
      | a_select3(X4,X2,X3) != X5
      | a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5 ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
      | a_select3(X4,X2,X3) != X5
      | X1 != X3
      | X0 = X2 ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
      | a_select3(X4,X2,X3) != X5
      | X1 != X3
      | X0 = X2 ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( a_select3(X4,X2,X3) = X5
        & X1 = X3
        & X0 != X2 )
     => a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5 ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X4,X10,X6,X23,X0,X16,X24] :
      ( ( a_select3(X0,X6,X23) = X16
        & X10 = X23
        & X4 != X6 )
     => a_select3(tptp_update3(X0,X4,X10,X24),X6,X23) = X16 ),
    file('/export/starexec/sandbox/tmp/tmp.UE4AklqmY0/Vampire---4.8_603',sel3_update_2) ).

fof(f246,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
    | spl6_4 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl6_4
  <=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f432,plain,
    ~ spl6_9,
    inference(avatar_contradiction_clause,[],[f431]) ).

fof(f431,plain,
    ( $false
    | ~ spl6_9 ),
    inference(subsumption_resolution,[],[f427,f195]) ).

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

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.UE4AklqmY0/Vampire---4.8_603',irreflexivity_gt) ).

fof(f427,plain,
    ( gt(n0,n0)
    | ~ spl6_9 ),
    inference(superposition,[],[f163,f381]) ).

fof(f381,plain,
    ( n0 = n2
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f379,plain,
    ( spl6_9
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

fof(f163,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/tmp/tmp.UE4AklqmY0/Vampire---4.8_603',gt_2_0) ).

fof(f419,plain,
    ~ spl6_11,
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | ~ spl6_11 ),
    inference(subsumption_resolution,[],[f409,f195]) ).

fof(f409,plain,
    ( gt(n1,n1)
    | ~ spl6_11 ),
    inference(superposition,[],[f155,f395]) ).

fof(f395,plain,
    ( n1 = n2
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f393,plain,
    ( spl6_11
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

fof(f155,plain,
    gt(n2,n1),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    gt(n2,n1),
    file('/export/starexec/sandbox/tmp/tmp.UE4AklqmY0/Vampire---4.8_603',gt_2_1) ).

fof(f407,plain,
    ( spl6_9
    | spl6_12 ),
    inference(avatar_split_clause,[],[f406,f397,f379]) ).

fof(f397,plain,
    ( spl6_12
  <=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

fof(f406,plain,
    ( n0 = n2
    | spl6_12 ),
    inference(subsumption_resolution,[],[f405,f141]) ).

fof(f405,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n2,n0)
    | n0 = n2
    | spl6_12 ),
    inference(superposition,[],[f399,f228]) ).

fof(f399,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0)
    | spl6_12 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f400,plain,
    ( spl6_11
    | ~ spl6_12
    | spl6_10 ),
    inference(avatar_split_clause,[],[f391,f383,f397,f393]) ).

fof(f383,plain,
    ( spl6_10
  <=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f391,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0)
    | n1 = n2
    | spl6_10 ),
    inference(superposition,[],[f385,f228]) ).

fof(f385,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0)
    | spl6_10 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f386,plain,
    ( spl6_9
    | ~ spl6_10
    | spl6_3 ),
    inference(avatar_split_clause,[],[f377,f240,f383,f379]) ).

fof(f240,plain,
    ( spl6_3
  <=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f377,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0)
    | n0 = n2
    | spl6_3 ),
    inference(superposition,[],[f242,f228]) ).

fof(f242,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
    | spl6_3 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f370,plain,
    spl6_2,
    inference(avatar_contradiction_clause,[],[f369]) ).

fof(f369,plain,
    ( $false
    | spl6_2 ),
    inference(subsumption_resolution,[],[f359,f134]) ).

fof(f134,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.UE4AklqmY0/Vampire---4.8_603',sel2_update_1) ).

fof(f359,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n3,use),n5,use),n3,use),n3,use),n3,use),n3)
    | spl6_2 ),
    inference(superposition,[],[f238,f350]) ).

fof(f350,plain,
    ( n3 = n4
    | spl6_2 ),
    inference(subsumption_resolution,[],[f349,f134]) ).

fof(f349,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n4)
    | n3 = n4
    | spl6_2 ),
    inference(superposition,[],[f238,f226]) ).

fof(f226,plain,
    ! [X2,X0,X1,X4] :
      ( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
      | X0 = X1 ),
    inference(equality_resolution,[],[f133]) ).

fof(f133,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,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(tptp_update2(X2,X0,X4),X1) = X3
      | a_select2(X2,X1) != X3
      | X0 = X1 ),
    inference(flattening,[],[f101]) ).

fof(f101,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.UE4AklqmY0/Vampire---4.8_603',sel2_update_2) ).

fof(f238,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
    | spl6_2 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl6_2
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f324,plain,
    ~ spl6_7,
    inference(avatar_contradiction_clause,[],[f323]) ).

fof(f323,plain,
    ( $false
    | ~ spl6_7 ),
    inference(subsumption_resolution,[],[f315,f195]) ).

fof(f315,plain,
    ( gt(n4,n4)
    | ~ spl6_7 ),
    inference(superposition,[],[f176,f270]) ).

fof(f270,plain,
    ( n4 = n5
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl6_7
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f176,plain,
    gt(n5,n4),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    gt(n5,n4),
    file('/export/starexec/sandbox/tmp/tmp.UE4AklqmY0/Vampire---4.8_603',gt_5_4) ).

fof(f297,plain,
    ~ spl6_5,
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f287,f195]) ).

fof(f287,plain,
    ( gt(n3,n3)
    | ~ spl6_5 ),
    inference(superposition,[],[f167,f256]) ).

fof(f256,plain,
    ( n3 = n5
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl6_5
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f167,plain,
    gt(n5,n3),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    gt(n5,n3),
    file('/export/starexec/sandbox/tmp/tmp.UE4AklqmY0/Vampire---4.8_603',gt_5_3) ).

fof(f283,plain,
    ( spl6_5
    | spl6_8 ),
    inference(avatar_split_clause,[],[f282,f272,f254]) ).

fof(f272,plain,
    ( spl6_8
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f282,plain,
    ( n3 = n5
    | spl6_8 ),
    inference(subsumption_resolution,[],[f281,f134]) ).

fof(f281,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n5)
    | n3 = n5
    | spl6_8 ),
    inference(superposition,[],[f274,f226]) ).

fof(f274,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5)
    | spl6_8 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f275,plain,
    ( spl6_7
    | ~ spl6_8
    | spl6_6 ),
    inference(avatar_split_clause,[],[f266,f258,f272,f268]) ).

fof(f258,plain,
    ( spl6_6
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f266,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5)
    | n4 = n5
    | spl6_6 ),
    inference(superposition,[],[f260,f226]) ).

fof(f260,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)
    | spl6_6 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f261,plain,
    ( spl6_5
    | ~ spl6_6
    | spl6_1 ),
    inference(avatar_split_clause,[],[f252,f232,f258,f254]) ).

fof(f232,plain,
    ( spl6_1
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f252,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)
    | n3 = n5
    | spl6_1 ),
    inference(superposition,[],[f234,f226]) ).

fof(f234,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f247,plain,
    ( ~ spl6_1
    | ~ spl6_2
    | ~ spl6_3
    | ~ spl6_4 ),
    inference(avatar_split_clause,[],[f230,f244,f240,f236,f232]) ).

fof(f230,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
    | use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) ),
    inference(subsumption_resolution,[],[f229,f134]) ).

fof(f229,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
    | use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) ),
    inference(subsumption_resolution,[],[f128,f141]) ).

fof(f128,plain,
    ( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0)
    | use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
    | use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
    | use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
    | use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
    | use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
    | use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,plain,
    ~ ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)
      & use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
      & use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
      & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
      & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
      & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) ),
    inference(pure_predicate_removal,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( true
     => ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)
        & use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
        & use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
        & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
        & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
        & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( true
   => ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)
      & use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
      & use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
      & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
      & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
      & use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.UE4AklqmY0/Vampire---4.8_603',quaternion_ds1_inuse_0001) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWV089+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.10  % 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
% 0.10/0.30  % Computer : n002.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 21:01:22 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31  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.UE4AklqmY0/Vampire---4.8_603
% 0.60/0.78  % (742)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 (2995ds/34Mi)
% 0.60/0.78  % (741)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (739)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 (2995ds/51Mi)
% 0.60/0.78  % (743)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (740)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (744)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 (2995ds/83Mi)
% 0.60/0.78  % (745)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 (2995ds/56Mi)
% 0.60/0.79  % (738)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 (2995ds/34Mi)
% 0.60/0.79  % (741)Refutation not found, incomplete strategy% (741)------------------------------
% 0.60/0.79  % (741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (741)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (741)Memory used [KB]: 1161
% 0.60/0.79  % (741)Time elapsed: 0.006 s
% 0.60/0.79  % (741)Instructions burned: 8 (million)
% 0.60/0.79  % (741)------------------------------
% 0.60/0.79  % (741)------------------------------
% 0.60/0.79  % (746)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 (2995ds/55Mi)
% 0.60/0.79  % (738)Refutation not found, incomplete strategy% (738)------------------------------
% 0.60/0.79  % (738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (738)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (738)Memory used [KB]: 1160
% 0.60/0.79  % (738)Time elapsed: 0.008 s
% 0.60/0.79  % (738)Instructions burned: 15 (million)
% 0.60/0.79  % (738)------------------------------
% 0.60/0.79  % (738)------------------------------
% 0.60/0.80  % (748)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 (2995ds/50Mi)
% 0.60/0.80  % (744)First to succeed.
% 0.60/0.80  % (742)Instruction limit reached!
% 0.60/0.80  % (742)------------------------------
% 0.60/0.80  % (742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (742)Termination reason: Unknown
% 0.60/0.80  % (742)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (742)Memory used [KB]: 1517
% 0.60/0.80  % (742)Time elapsed: 0.017 s
% 0.60/0.80  % (742)Instructions burned: 34 (million)
% 0.60/0.80  % (742)------------------------------
% 0.60/0.80  % (742)------------------------------
% 0.60/0.80  % (744)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-737"
% 0.60/0.80  % (744)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Theorem for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (744)------------------------------
% 0.60/0.80  % (744)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (744)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (744)Memory used [KB]: 1310
% 0.60/0.80  % (744)Time elapsed: 0.017 s
% 0.60/0.80  % (744)Instructions burned: 32 (million)
% 0.60/0.80  % (737)Success in time 0.49 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------