TSTP Solution File: SWW301+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW301+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n032.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 11:16:56 EDT 2024

% Result   : Theorem 1.34s 1.24s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  10 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   86 (  34   ~;  26   |;  12   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-4 aty)
%            Number of variables   :  106 (  95   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6602,plain,
    $false,
    inference(unit_resulting_resolution,[],[f6574,f5829,f6592,f6323]) ).

fof(f6323,plain,
    ! [X2,X0,X1] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(X2,X1),sK2(v_Q,v_P,X0,X2)))
      | hBOOL(hAPP(hAPP(X0,X1),sK3(v_Q,v_P,X0,X2))) ),
    inference(resolution,[],[f5831,f5837]) ).

fof(f5837,plain,
    ! [X2,X3,X10,X0,X1,X6,X4,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X1,X3,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
      | hBOOL(hAPP(hAPP(X2,X10),sK3(X0,X1,X2,X4)))
      | ~ hBOOL(hAPP(hAPP(X4,X10),sK2(X0,X1,X2,X4)))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X4,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ),
    inference(cnf_transformation,[],[f5707]) ).

fof(f5707,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X1,X3,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
      | ( ~ hBOOL(hAPP(hAPP(X0,sK1(X0,X1,X2,X4)),sK3(X0,X1,X2,X4)))
        & ! [X10] :
            ( hBOOL(hAPP(hAPP(X2,X10),sK3(X0,X1,X2,X4)))
            | ~ hBOOL(hAPP(hAPP(X4,X10),sK2(X0,X1,X2,X4))) )
        & hBOOL(hAPP(hAPP(X1,sK1(X0,X1,X2,X4)),sK2(X0,X1,X2,X4))) )
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X4,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f5525,f5706,f5705]) ).

fof(f5705,plain,
    ! [X0,X1,X2,X4] :
      ( ? [X7,X8] :
          ( ? [X9] :
              ( ~ hBOOL(hAPP(hAPP(X0,X7),X9))
              & ! [X10] :
                  ( hBOOL(hAPP(hAPP(X2,X10),X9))
                  | ~ hBOOL(hAPP(hAPP(X4,X10),X8)) ) )
          & hBOOL(hAPP(hAPP(X1,X7),X8)) )
     => ( ? [X9] :
            ( ~ hBOOL(hAPP(hAPP(X0,sK1(X0,X1,X2,X4)),X9))
            & ! [X10] :
                ( hBOOL(hAPP(hAPP(X2,X10),X9))
                | ~ hBOOL(hAPP(hAPP(X4,X10),sK2(X0,X1,X2,X4))) ) )
        & hBOOL(hAPP(hAPP(X1,sK1(X0,X1,X2,X4)),sK2(X0,X1,X2,X4))) ) ),
    introduced(choice_axiom,[]) ).

fof(f5706,plain,
    ! [X0,X1,X2,X4] :
      ( ? [X9] :
          ( ~ hBOOL(hAPP(hAPP(X0,sK1(X0,X1,X2,X4)),X9))
          & ! [X10] :
              ( hBOOL(hAPP(hAPP(X2,X10),X9))
              | ~ hBOOL(hAPP(hAPP(X4,X10),sK2(X0,X1,X2,X4))) ) )
     => ( ~ hBOOL(hAPP(hAPP(X0,sK1(X0,X1,X2,X4)),sK3(X0,X1,X2,X4)))
        & ! [X10] :
            ( hBOOL(hAPP(hAPP(X2,X10),sK3(X0,X1,X2,X4)))
            | ~ hBOOL(hAPP(hAPP(X4,X10),sK2(X0,X1,X2,X4))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f5525,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X1,X3,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
      | ? [X7,X8] :
          ( ? [X9] :
              ( ~ hBOOL(hAPP(hAPP(X0,X7),X9))
              & ! [X10] :
                  ( hBOOL(hAPP(hAPP(X2,X10),X9))
                  | ~ hBOOL(hAPP(hAPP(X4,X10),X8)) ) )
          & hBOOL(hAPP(hAPP(X1,X7),X8)) )
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X4,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ),
    inference(flattening,[],[f5524]) ).

fof(f5524,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X1,X3,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
      | ? [X7,X8] :
          ( ? [X9] :
              ( ~ hBOOL(hAPP(hAPP(X0,X7),X9))
              & ! [X10] :
                  ( hBOOL(hAPP(hAPP(X2,X10),X9))
                  | ~ hBOOL(hAPP(hAPP(X4,X10),X8)) ) )
          & hBOOL(hAPP(hAPP(X1,X7),X8)) )
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X4,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ),
    inference(ennf_transformation,[],[f5232]) ).

fof(f5232,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X4,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
     => ( ! [X7,X8] :
            ( hBOOL(hAPP(hAPP(X1,X7),X8))
           => ! [X9] :
                ( ! [X10] :
                    ( hBOOL(hAPP(hAPP(X4,X10),X8))
                   => hBOOL(hAPP(hAPP(X2,X10),X9)) )
               => hBOOL(hAPP(hAPP(X0,X7),X9)) ) )
       => c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X1,X3,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X25,X22,X37,X19,X26,X3,X4] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X26,X19,X37)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool))))
     => ( ! [X27,X28] :
            ( hBOOL(hAPP(hAPP(X22,X27),X28))
           => ! [X38] :
                ( ! [X39] :
                    ( hBOOL(hAPP(hAPP(X26,X39),X28))
                   => hBOOL(hAPP(hAPP(X37,X39),X38)) )
               => hBOOL(hAPP(hAPP(X25,X27),X38)) ) )
       => c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X22,X19,X25)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6m4wvnBJkW/Vampire---4.8_600',fact_conseq12) ).

fof(f5831,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f5227]) ).

fof(f5227,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(flattening,[],[f5225]) ).

fof(f5225,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(negated_conjecture,[],[f5224]) ).

fof(f5224,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/tmp/tmp.6m4wvnBJkW/Vampire---4.8_600',conj_2) ).

fof(f6592,plain,
    ~ hBOOL(hAPP(hAPP(v_Q_H,sK1(v_Q,v_P,v_Q_H,v_P)),sK3(v_Q,v_P,v_Q_H,v_P))),
    inference(resolution,[],[f6583,f5830]) ).

fof(f5830,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),X1))
      | ~ hBOOL(hAPP(hAPP(v_Q_H,X0),X1)) ),
    inference(cnf_transformation,[],[f5517]) ).

fof(f5517,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),X1))
      | ~ hBOOL(hAPP(hAPP(v_Q_H,X0),X1)) ),
    inference(ennf_transformation,[],[f5226]) ).

fof(f5226,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_Q_H,X0),X1))
     => hBOOL(hAPP(hAPP(v_Q,X0),X1)) ),
    inference(rectify,[],[f5223]) ).

fof(f5223,axiom,
    ! [X27,X28] :
      ( hBOOL(hAPP(hAPP(v_Q_H,X27),X28))
     => hBOOL(hAPP(hAPP(v_Q,X27),X28)) ),
    file('/export/starexec/sandbox2/tmp/tmp.6m4wvnBJkW/Vampire---4.8_600',conj_1) ).

fof(f6583,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,sK1(v_Q,v_P,v_Q_H,v_P)),sK3(v_Q,v_P,v_Q_H,v_P))),
    inference(resolution,[],[f6324,f5829]) ).

fof(f6324,plain,
    ! [X0,X1] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(v_Q,sK1(v_Q,v_P,X0,X1)),sK3(v_Q,v_P,X0,X1))) ),
    inference(resolution,[],[f5831,f5838]) ).

fof(f5838,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X1,X3,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(X0,sK1(X0,X1,X2,X4)),sK3(X0,X1,X2,X4)))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X4,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ),
    inference(cnf_transformation,[],[f5707]) ).

fof(f5829,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f5222]) ).

fof(f5222,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/tmp/tmp.6m4wvnBJkW/Vampire---4.8_600',conj_0) ).

fof(f6574,plain,
    hBOOL(hAPP(hAPP(v_P,sK1(v_Q,v_P,v_Q_H,v_P)),sK2(v_Q,v_P,v_Q_H,v_P))),
    inference(resolution,[],[f6322,f5829]) ).

fof(f6322,plain,
    ! [X0,X1] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | hBOOL(hAPP(hAPP(v_P,sK1(v_Q,v_P,X0,X1)),sK2(v_Q,v_P,X0,X1))) ),
    inference(resolution,[],[f5831,f5836]) ).

fof(f5836,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X1,X3,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
      | hBOOL(hAPP(hAPP(X1,sK1(X0,X1,X2,X4)),sK2(X0,X1,X2,X4)))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X4,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ),
    inference(cnf_transformation,[],[f5707]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem    : SWW301+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.09  % 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
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Fri May  3 19:24:23 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  This is a FOF_CAX_RFO_SEQ problem
% 0.08/0.28  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.6m4wvnBJkW/Vampire---4.8_600
% 0.90/1.14  % (850)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 (2991ds/34Mi)
% 0.90/1.14  % (852)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2991ds/78Mi)
% 0.90/1.14  % (851)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 (2991ds/51Mi)
% 0.90/1.14  % (853)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2991ds/33Mi)
% 0.90/1.14  % (854)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 (2991ds/34Mi)
% 0.90/1.14  % (855)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2991ds/45Mi)
% 0.90/1.14  % (856)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 (2991ds/83Mi)
% 0.90/1.14  % (857)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 (2991ds/56Mi)
% 0.90/1.16  % (850)Instruction limit reached!
% 0.90/1.16  % (850)------------------------------
% 0.90/1.16  % (850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/1.16  % (850)Termination reason: Unknown
% 0.90/1.16  % (850)Termination phase: SInE selection
% 0.90/1.16  
% 0.90/1.16  % (850)Memory used [KB]: 6145
% 0.90/1.16  % (850)Time elapsed: 0.018 s
% 0.90/1.16  % (850)Instructions burned: 34 (million)
% 0.90/1.16  % (850)------------------------------
% 0.90/1.16  % (850)------------------------------
% 0.90/1.16  % (853)Instruction limit reached!
% 0.90/1.16  % (853)------------------------------
% 0.90/1.16  % (853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/1.16  % (853)Termination reason: Unknown
% 0.90/1.16  % (853)Termination phase: SInE selection
% 0.90/1.16  
% 0.90/1.16  % (853)Memory used [KB]: 6128
% 0.90/1.16  % (853)Time elapsed: 0.018 s
% 0.90/1.16  % (853)Instructions burned: 33 (million)
% 0.90/1.16  % (853)------------------------------
% 0.90/1.16  % (853)------------------------------
% 0.90/1.16  % (854)Instruction limit reached!
% 0.90/1.16  % (854)------------------------------
% 0.90/1.16  % (854)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/1.16  % (854)Termination reason: Unknown
% 0.90/1.16  % (854)Termination phase: SInE selection
% 0.90/1.16  
% 0.90/1.16  % (854)Memory used [KB]: 6145
% 0.90/1.16  % (854)Time elapsed: 0.020 s
% 0.90/1.16  % (854)Instructions burned: 34 (million)
% 0.90/1.16  % (854)------------------------------
% 0.90/1.16  % (854)------------------------------
% 0.90/1.16  % (861)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 (2991ds/55Mi)
% 0.90/1.16  % (863)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 (2991ds/50Mi)
% 0.90/1.17  % (864)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 (2991ds/208Mi)
% 0.90/1.17  % (851)Instruction limit reached!
% 0.90/1.17  % (851)------------------------------
% 0.90/1.17  % (851)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/1.17  % (851)Termination reason: Unknown
% 0.90/1.17  % (851)Termination phase: SInE selection
% 0.90/1.17  
% 0.90/1.17  % (851)Memory used [KB]: 6256
% 0.90/1.17  % (851)Time elapsed: 0.026 s
% 0.90/1.17  % (851)Instructions burned: 51 (million)
% 0.90/1.17  % (851)------------------------------
% 0.90/1.17  % (851)------------------------------
% 0.90/1.17  % (855)Instruction limit reached!
% 0.90/1.17  % (855)------------------------------
% 0.90/1.17  % (855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/1.17  % (855)Termination reason: Unknown
% 0.90/1.17  % (855)Termination phase: Naming
% 0.90/1.17  
% 0.90/1.17  % (855)Memory used [KB]: 6430
% 0.90/1.17  % (855)Time elapsed: 0.026 s
% 0.90/1.17  % (855)Instructions burned: 45 (million)
% 0.90/1.17  % (855)------------------------------
% 0.90/1.17  % (855)------------------------------
% 0.90/1.17  % (865)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 (2991ds/52Mi)
% 0.90/1.17  % (866)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 (2991ds/518Mi)
% 0.90/1.17  % (857)Instruction limit reached!
% 0.90/1.17  % (857)------------------------------
% 0.90/1.17  % (857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/1.17  % (857)Termination reason: Unknown
% 0.90/1.17  % (857)Termination phase: Equality proxy
% 0.90/1.17  
% 0.90/1.17  % (857)Memory used [KB]: 6434
% 0.90/1.17  % (857)Time elapsed: 0.030 s
% 0.90/1.17  % (857)Instructions burned: 58 (million)
% 0.90/1.17  % (857)------------------------------
% 0.90/1.17  % (857)------------------------------
% 0.90/1.18  % (867)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 (2991ds/42Mi)
% 1.11/1.18  % (852)Instruction limit reached!
% 1.11/1.18  % (852)------------------------------
% 1.11/1.18  % (852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/1.18  % (852)Termination reason: Unknown
% 1.11/1.18  % (852)Termination phase: Saturation
% 1.11/1.18  
% 1.11/1.18  % (852)Memory used [KB]: 6880
% 1.11/1.18  % (852)Time elapsed: 0.039 s
% 1.11/1.18  % (852)Instructions burned: 79 (million)
% 1.11/1.18  % (852)------------------------------
% 1.11/1.18  % (852)------------------------------
% 1.11/1.19  % (869)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 (2990ds/243Mi)
% 1.11/1.19  % (856)Instruction limit reached!
% 1.11/1.19  % (856)------------------------------
% 1.11/1.19  % (856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/1.19  % (856)Termination reason: Unknown
% 1.11/1.19  % (856)Termination phase: SInE selection
% 1.11/1.19  
% 1.11/1.19  % (856)Memory used [KB]: 6161
% 1.11/1.19  % (856)Time elapsed: 0.043 s
% 1.11/1.19  % (856)Instructions burned: 84 (million)
% 1.11/1.19  % (856)------------------------------
% 1.11/1.19  % (856)------------------------------
% 1.11/1.19  % (863)Instruction limit reached!
% 1.11/1.19  % (863)------------------------------
% 1.11/1.19  % (863)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/1.19  % (863)Termination reason: Unknown
% 1.11/1.19  % (863)Termination phase: SInE selection
% 1.11/1.19  
% 1.11/1.19  % (863)Memory used [KB]: 6225
% 1.11/1.19  % (863)Time elapsed: 0.025 s
% 1.11/1.19  % (863)Instructions burned: 50 (million)
% 1.11/1.19  % (863)------------------------------
% 1.11/1.19  % (863)------------------------------
% 1.11/1.19  % (871)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 (2990ds/117Mi)
% 1.11/1.19  % (872)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 (2990ds/143Mi)
% 1.11/1.19  % (861)Instruction limit reached!
% 1.11/1.19  % (861)------------------------------
% 1.11/1.19  % (861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/1.19  % (861)Termination reason: Unknown
% 1.11/1.19  % (861)Termination phase: Preprocessing 1
% 1.11/1.19  
% 1.11/1.19  % (861)Memory used [KB]: 6725
% 1.11/1.19  % (861)Time elapsed: 0.029 s
% 1.11/1.19  % (861)Instructions burned: 55 (million)
% 1.11/1.19  % (861)------------------------------
% 1.11/1.19  % (861)------------------------------
% 1.11/1.19  % (873)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 (2990ds/93Mi)
% 1.11/1.20  % (867)Instruction limit reached!
% 1.11/1.20  % (867)------------------------------
% 1.11/1.20  % (867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/1.20  % (867)Termination reason: Unknown
% 1.11/1.20  % (867)Termination phase: Preprocessing 1
% 1.11/1.20  
% 1.11/1.20  % (867)Memory used [KB]: 7638
% 1.11/1.20  % (867)Time elapsed: 0.021 s
% 1.11/1.20  % (867)Instructions burned: 42 (million)
% 1.11/1.20  % (867)------------------------------
% 1.11/1.20  % (867)------------------------------
% 1.11/1.20  % (865)Instruction limit reached!
% 1.11/1.20  % (865)------------------------------
% 1.11/1.20  % (865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/1.20  % (865)Termination reason: Unknown
% 1.11/1.20  % (865)Termination phase: Preprocessing 1
% 1.11/1.20  
% 1.11/1.20  % (865)Memory used [KB]: 6366
% 1.11/1.20  % (865)Time elapsed: 0.029 s
% 1.11/1.20  % (865)Instructions burned: 54 (million)
% 1.11/1.20  % (865)------------------------------
% 1.11/1.20  % (865)------------------------------
% 1.11/1.20  % (875)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 (2990ds/62Mi)
% 1.11/1.20  % (876)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 (2990ds/32Mi)
% 1.31/1.22  % (876)Instruction limit reached!
% 1.31/1.22  % (876)------------------------------
% 1.31/1.22  % (876)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/1.22  % (876)Termination reason: Unknown
% 1.31/1.22  % (876)Termination phase: SInE selection
% 1.31/1.22  
% 1.31/1.22  % (876)Memory used [KB]: 6289
% 1.31/1.22  % (876)Time elapsed: 0.017 s
% 1.31/1.22  % (876)Instructions burned: 32 (million)
% 1.31/1.22  % (876)------------------------------
% 1.31/1.22  % (876)------------------------------
% 1.31/1.22  % (880)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 (2990ds/1919Mi)
% 1.34/1.23  % (875)Instruction limit reached!
% 1.34/1.23  % (875)------------------------------
% 1.34/1.23  % (875)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.23  % (875)Termination reason: Unknown
% 1.34/1.23  % (875)Termination phase: Preprocessing 1
% 1.34/1.23  
% 1.34/1.23  % (875)Memory used [KB]: 8943
% 1.34/1.23  % (875)Time elapsed: 0.032 s
% 1.34/1.23  % (875)Instructions burned: 62 (million)
% 1.34/1.23  % (875)------------------------------
% 1.34/1.23  % (875)------------------------------
% 1.34/1.23  % (866)First to succeed.
% 1.34/1.23  % (881)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 (2990ds/55Mi)
% 1.34/1.24  % (866)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-739"
% 1.34/1.24  % (866)Refutation found. Thanks to Tanya!
% 1.34/1.24  % SZS status Theorem for Vampire---4
% 1.34/1.24  % SZS output start Proof for Vampire---4
% See solution above
% 1.34/1.24  % (866)------------------------------
% 1.34/1.24  % (866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/1.24  % (866)Termination reason: Refutation
% 1.34/1.24  
% 1.34/1.24  % (866)Memory used [KB]: 7077
% 1.34/1.24  % (866)Time elapsed: 0.064 s
% 1.34/1.24  % (866)Instructions burned: 130 (million)
% 1.34/1.24  % (739)Success in time 0.952 s
% 1.34/1.24  % Vampire---4.8 exiting
%------------------------------------------------------------------------------