TSTP Solution File: NUN072+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUN072+2 : TPTP v8.1.2. Released v7.3.0.
% 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 : n019.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 03:36:22 EDT 2024

% Result   : Theorem 0.80s 0.97s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   95 (  50 unt;   0 def)
%            Number of atoms       :  267 (  57 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  307 ( 135   ~; 105   |;  67   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   1 con; 0-2 aty)
%            Number of variables   :  273 ( 213   !;  60   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f405,plain,
    $false,
    inference(subsumption_resolution,[],[f404,f127]) ).

fof(f127,plain,
    r1(sK0),
    inference(resolution,[],[f62,f61]) ).

fof(f61,plain,
    ~ sP20(sK0),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP20])]) ).

fof(f62,plain,
    ! [X1] :
      ( sP20(X1)
      | r1(X1) ),
    inference(inequality_splitting,[],[f26,f61]) ).

fof(f26,plain,
    ! [X1] :
      ( sK0 != X1
      | r1(X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X0 = X1
        & r1(X1) )
      | ( X0 != X1
        & ~ r1(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',axiom_1) ).

fof(f404,plain,
    ~ r1(sK0),
    inference(resolution,[],[f386,f63]) ).

fof(f63,plain,
    ! [X0] : r2(X0,sK1(X0)),
    inference(equality_resolution,[],[f28]) ).

fof(f28,plain,
    ! [X2,X0] :
      ( sK1(X0) != X2
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X1 = X2
        & r2(X0,X2) )
      | ( X1 != X2
        & ~ r2(X0,X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( X3 = X4
        & r2(X2,X4) )
      | ( X3 != X4
        & ~ r2(X2,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',axiom_2) ).

fof(f386,plain,
    ! [X0] :
      ( ~ r2(X0,sK1(sK0))
      | ~ r1(X0) ),
    inference(resolution,[],[f362,f63]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ r2(X0,sK1(sK1(sK0)))
      | ~ r1(X1)
      | ~ r2(X1,X0) ),
    inference(forward_demodulation,[],[f361,f151]) ).

fof(f151,plain,
    ! [X0] : sK2(X0,sK0) = X0,
    inference(forward_demodulation,[],[f146,f76]) ).

fof(f76,plain,
    ! [X0] : sK0 = sK13(X0),
    inference(resolution,[],[f27,f45]) ).

fof(f45,plain,
    ! [X0] : r1(sK13(X0)),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
    ? [X1] :
      ( X0 = X1
      & ? [X2] :
          ( r3(X0,X2,X1)
          & r1(X2) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X29] :
    ? [X30] :
      ( X29 = X30
      & ? [X31] :
          ( r3(X29,X31,X30)
          & r1(X31) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',axiom_4a) ).

fof(f27,plain,
    ! [X1] :
      ( ~ r1(X1)
      | sK0 = X1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f146,plain,
    ! [X0] : sK2(X0,sK13(X0)) = X0,
    inference(resolution,[],[f31,f69]) ).

fof(f69,plain,
    ! [X0] : r3(X0,sK13(X0),X0),
    inference(forward_demodulation,[],[f46,f47]) ).

fof(f47,plain,
    ! [X0] : sK12(X0) = X0,
    inference(cnf_transformation,[],[f20]) ).

fof(f46,plain,
    ! [X0] : r3(X0,sK13(X0),sK12(X0)),
    inference(cnf_transformation,[],[f20]) ).

fof(f31,plain,
    ! [X3,X0,X1] :
      ( ~ r3(X0,X1,X3)
      | sK2(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( X2 = X3
        & r3(X0,X1,X3) )
      | ( X2 != X3
        & ~ r3(X0,X1,X3) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6] :
    ? [X7] :
    ! [X8] :
      ( ( X7 = X8
        & r3(X5,X6,X8) )
      | ( X7 != X8
        & ~ r3(X5,X6,X8) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',axiom_3) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ r2(X0,sK1(sK1(sK2(sK0,sK0))))
      | ~ r1(X1)
      | ~ r2(X1,X0) ),
    inference(forward_demodulation,[],[f360,f233]) ).

fof(f233,plain,
    ! [X0,X1] : sK2(X0,sK1(X1)) = sK1(sK2(X0,X1)),
    inference(resolution,[],[f204,f29]) ).

fof(f29,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | sK1(X0) = X2 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f204,plain,
    ! [X0,X1] : r2(sK2(X0,X1),sK2(X0,sK1(X1))),
    inference(forward_demodulation,[],[f202,f152]) ).

fof(f152,plain,
    ! [X0,X1] : sK5(X0,X1) = sK2(X0,sK1(X1)),
    inference(forward_demodulation,[],[f149,f124]) ).

fof(f124,plain,
    ! [X0,X1] : sK1(X0) = sK7(X1,X0),
    inference(resolution,[],[f29,f34]) ).

fof(f34,plain,
    ! [X0,X1] : r2(X1,sK7(X0,X1)),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,X2) )
      & ? [X4] :
          ( X2 = X4
          & ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13,X14] :
    ? [X15] :
      ( ? [X18] :
          ( r3(X13,X14,X18)
          & r2(X18,X15) )
      & ? [X16] :
          ( X15 = X16
          & ? [X17] :
              ( r3(X13,X17,X16)
              & r2(X14,X17) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',axiom_1a) ).

fof(f149,plain,
    ! [X0,X1] : sK5(X0,X1) = sK2(X0,sK7(X0,X1)),
    inference(resolution,[],[f31,f35]) ).

fof(f35,plain,
    ! [X0,X1] : r3(X0,sK7(X0,X1),sK5(X0,X1)),
    inference(cnf_transformation,[],[f17]) ).

fof(f202,plain,
    ! [X0,X1] : r2(sK2(X0,X1),sK5(X0,X1)),
    inference(superposition,[],[f58,f147]) ).

fof(f147,plain,
    ! [X0,X1] : sK2(X0,X1) = sK6(X0,X1),
    inference(resolution,[],[f31,f37]) ).

fof(f37,plain,
    ! [X0,X1] : r3(X0,X1,sK6(X0,X1)),
    inference(cnf_transformation,[],[f17]) ).

fof(f58,plain,
    ! [X0,X1] : r2(sK6(X0,X1),sK5(X0,X1)),
    inference(definition_unfolding,[],[f36,f38]) ).

fof(f38,plain,
    ! [X0,X1] : sK4(X0,X1) = sK5(X0,X1),
    inference(cnf_transformation,[],[f17]) ).

fof(f36,plain,
    ! [X0,X1] : r2(sK6(X0,X1),sK4(X0,X1)),
    inference(cnf_transformation,[],[f17]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( ~ r2(X0,sK1(sK2(sK0,sK1(sK0))))
      | ~ r1(X1)
      | ~ r2(X1,X0) ),
    inference(forward_demodulation,[],[f359,f151]) ).

fof(f359,plain,
    ! [X0,X1] :
      ( ~ r2(X0,sK1(sK2(sK2(sK0,sK1(sK0)),sK0)))
      | ~ r1(X1)
      | ~ r2(X1,X0) ),
    inference(forward_demodulation,[],[f356,f233]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( ~ r2(X0,sK2(sK2(sK0,sK1(sK0)),sK1(sK0)))
      | ~ r1(X1)
      | ~ r2(X1,X0) ),
    inference(resolution,[],[f349,f63]) ).

fof(f349,plain,
    ! [X2,X0,X1] :
      ( ~ r2(sK0,X1)
      | ~ r2(X0,sK2(sK2(sK0,X1),X1))
      | ~ r1(X2)
      | ~ r2(X2,X0) ),
    inference(resolution,[],[f331,f127]) ).

fof(f331,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(X0)
      | ~ r2(X2,sK2(sK2(sK0,X1),X1))
      | ~ r2(X0,X1)
      | ~ r1(X3)
      | ~ r2(X3,X2) ),
    inference(forward_demodulation,[],[f330,f158]) ).

fof(f158,plain,
    ! [X0] : sK0 = sK3(X0,sK0),
    inference(forward_demodulation,[],[f157,f77]) ).

fof(f77,plain,
    ! [X0] : sK0 = sK16(X0),
    inference(resolution,[],[f27,f48]) ).

fof(f48,plain,
    ! [X0] : r1(sK16(X0)),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( X1 = X2
          & r1(X2) )
      & ? [X3] :
          ( r4(X0,X3,X1)
          & r1(X3) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X32] :
    ? [X33] :
      ( ? [X35] :
          ( X33 = X35
          & r1(X35) )
      & ? [X34] :
          ( r4(X32,X34,X33)
          & r1(X34) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',axiom_5a) ).

fof(f157,plain,
    ! [X0] : sK16(X0) = sK3(X0,sK0),
    inference(forward_demodulation,[],[f155,f78]) ).

fof(f78,plain,
    ! [X0] : sK0 = sK15(X0),
    inference(resolution,[],[f27,f50]) ).

fof(f50,plain,
    ! [X0] : r1(sK15(X0)),
    inference(cnf_transformation,[],[f21]) ).

fof(f155,plain,
    ! [X0] : sK16(X0) = sK3(X0,sK15(X0)),
    inference(resolution,[],[f33,f60]) ).

fof(f60,plain,
    ! [X0] : r4(X0,sK15(X0),sK16(X0)),
    inference(definition_unfolding,[],[f51,f49]) ).

fof(f49,plain,
    ! [X0] : sK14(X0) = sK16(X0),
    inference(cnf_transformation,[],[f21]) ).

fof(f51,plain,
    ! [X0] : r4(X0,sK15(X0),sK14(X0)),
    inference(cnf_transformation,[],[f21]) ).

fof(f33,plain,
    ! [X3,X0,X1] :
      ( ~ r4(X0,X1,X3)
      | sK3(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( X2 = X3
        & r4(X0,X1,X3) )
      | ( X2 != X3
        & ~ r4(X0,X1,X3) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X9,X10] :
    ? [X11] :
    ! [X12] :
      ( ( X11 = X12
        & r4(X9,X10,X12) )
      | ( X11 != X12
        & ~ r4(X9,X10,X12) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',axiom_4) ).

fof(f330,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X2,sK2(sK2(sK3(X1,sK0),X1),X1))
      | ~ r1(X0)
      | ~ r2(X0,X1)
      | ~ r1(X3)
      | ~ r2(X3,X2) ),
    inference(forward_demodulation,[],[f328,f308]) ).

fof(f308,plain,
    ! [X0,X1] : sK3(X0,sK1(X1)) = sK2(sK3(X0,X1),X0),
    inference(resolution,[],[f210,f31]) ).

fof(f210,plain,
    ! [X0,X1] : r3(sK3(X0,X1),X0,sK3(X0,sK1(X1))),
    inference(forward_demodulation,[],[f205,f159]) ).

fof(f159,plain,
    ! [X0,X1] : sK9(X0,X1) = sK3(X0,sK1(X1)),
    inference(forward_demodulation,[],[f156,f125]) ).

fof(f125,plain,
    ! [X0,X1] : sK1(X0) = sK11(X1,X0),
    inference(resolution,[],[f29,f39]) ).

fof(f39,plain,
    ! [X0,X1] : r2(X1,sK11(X0,X1)),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r4(X0,X1,X3)
          & r3(X3,X0,X2) )
      & ? [X4] :
          ( X2 = X4
          & ? [X5] :
              ( r4(X0,X5,X4)
              & r2(X1,X5) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X19,X20] :
    ? [X21] :
      ( ? [X24] :
          ( r4(X19,X20,X24)
          & r3(X24,X19,X21) )
      & ? [X22] :
          ( X21 = X22
          & ? [X23] :
              ( r4(X19,X23,X22)
              & r2(X20,X23) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',axiom_2a) ).

fof(f156,plain,
    ! [X0,X1] : sK9(X0,X1) = sK3(X0,sK11(X0,X1)),
    inference(resolution,[],[f33,f40]) ).

fof(f40,plain,
    ! [X0,X1] : r4(X0,sK11(X0,X1),sK9(X0,X1)),
    inference(cnf_transformation,[],[f18]) ).

fof(f205,plain,
    ! [X0,X1] : r3(sK3(X0,X1),X0,sK9(X0,X1)),
    inference(superposition,[],[f59,f153]) ).

fof(f153,plain,
    ! [X0,X1] : sK3(X0,X1) = sK10(X0,X1),
    inference(resolution,[],[f33,f42]) ).

fof(f42,plain,
    ! [X0,X1] : r4(X0,X1,sK10(X0,X1)),
    inference(cnf_transformation,[],[f18]) ).

fof(f59,plain,
    ! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1)),
    inference(definition_unfolding,[],[f41,f43]) ).

fof(f43,plain,
    ! [X0,X1] : sK8(X0,X1) = sK9(X0,X1),
    inference(cnf_transformation,[],[f18]) ).

fof(f41,plain,
    ! [X0,X1] : r3(sK10(X0,X1),X0,sK8(X0,X1)),
    inference(cnf_transformation,[],[f18]) ).

fof(f328,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(X0)
      | ~ r2(X0,X1)
      | ~ r2(X2,sK2(sK3(X1,sK1(sK0)),X1))
      | ~ r1(X3)
      | ~ r2(X3,X2) ),
    inference(resolution,[],[f323,f63]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r2(sK1(sK0),sK1(X1))
      | ~ r1(X3)
      | ~ r2(X3,X0)
      | ~ r2(X2,sK2(sK3(X0,X1),X0))
      | ~ r1(X4)
      | ~ r2(X4,X2) ),
    inference(superposition,[],[f137,f254]) ).

fof(f254,plain,
    ! [X0,X1] : sK9(X0,X1) = sK2(sK3(X0,X1),X0),
    inference(superposition,[],[f150,f153]) ).

fof(f150,plain,
    ! [X0,X1] : sK9(X0,X1) = sK2(sK10(X0,X1),X0),
    inference(resolution,[],[f31,f59]) ).

fof(f137,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ r2(X4,sK9(X1,X2))
      | ~ r1(X3)
      | ~ r2(X3,X1)
      | ~ r2(sK1(sK0),sK1(X2))
      | ~ r1(X5)
      | ~ r2(X5,X4) ),
    inference(forward_demodulation,[],[f136,f125]) ).

fof(f136,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r2(sK11(X0,sK0),sK1(X2))
      | ~ r1(X3)
      | ~ r2(X3,X1)
      | ~ r2(X4,sK9(X1,X2))
      | ~ r1(X5)
      | ~ r2(X5,X4) ),
    inference(forward_demodulation,[],[f131,f125]) ).

fof(f131,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r2(sK11(X0,sK0),sK11(X1,X2))
      | ~ r1(X3)
      | ~ r2(X3,X1)
      | ~ r2(X4,sK9(X1,X2))
      | ~ r1(X5)
      | ~ r2(X5,X4) ),
    inference(resolution,[],[f40,f88]) ).

fof(f88,plain,
    ! [X2,X3,X0,X6,X7,X4,X5] :
      ( ~ r4(X3,X2,X4)
      | ~ r2(sK11(X0,sK0),X2)
      | ~ r1(X5)
      | ~ r2(X5,X3)
      | ~ r2(X6,X4)
      | ~ r1(X7)
      | ~ r2(X7,X6) ),
    inference(forward_demodulation,[],[f85,f76]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ r2(sK11(X0,sK13(X1)),X2)
      | ~ r4(X3,X2,X4)
      | ~ r1(X5)
      | ~ r2(X5,X3)
      | ~ r2(X6,X4)
      | ~ r1(X7)
      | ~ r2(X7,X6) ),
    inference(resolution,[],[f39,f70]) ).

fof(f70,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ r2(sK13(X2),X0)
      | ~ r2(X0,X1)
      | ~ r4(X3,X1,X4)
      | ~ r1(X5)
      | ~ r2(X5,X3)
      | ~ r2(X6,X4)
      | ~ r1(X7)
      | ~ r2(X7,X6) ),
    inference(resolution,[],[f45,f68]) ).

fof(f68,plain,
    ! [X2,X3,X1,X8,X6,X7,X4,X5] :
      ( ~ r1(X8)
      | ~ r2(X7,X4)
      | ~ r2(X8,X7)
      | ~ r4(X5,X4,X1)
      | ~ r1(X6)
      | ~ r2(X6,X5)
      | ~ r2(X2,X1)
      | ~ r1(X3)
      | ~ r2(X3,X2) ),
    inference(equality_resolution,[],[f57]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ r2(X7,X4)
      | ~ r1(X8)
      | ~ r2(X8,X7)
      | ~ r4(X5,X4,X0)
      | ~ r1(X6)
      | ~ r2(X6,X5)
      | X0 != X1
      | ~ r2(X2,X1)
      | ~ r1(X3)
      | ~ r2(X3,X2) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ r2(X3,X2)
                  | ~ r1(X3) )
              | ~ r2(X2,X1) )
          | X0 != X1 )
      | ! [X4] :
          ( ! [X5] :
              ( ! [X6] :
                  ( ~ r2(X6,X5)
                  | ~ r1(X6) )
              | ~ r4(X5,X4,X0) )
          | ! [X7] :
              ( ! [X8] :
                  ( ~ r2(X8,X7)
                  | ~ r1(X8) )
              | ~ r2(X7,X4) ) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ~ ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( r2(X3,X2)
                    & r1(X3) )
                & r2(X2,X1) )
            & X0 = X1 )
        & ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( r2(X6,X5)
                    & r1(X6) )
                & r4(X5,X4,X0) )
            & ? [X7] :
                ( ? [X8] :
                    ( r2(X8,X7)
                    & r1(X8) )
                & r2(X7,X4) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ? [X38] :
        ( ? [X22] :
            ( ? [X24] :
                ( ? [X30] :
                    ( r2(X30,X24)
                    & r1(X30) )
                & r2(X24,X22) )
            & X22 = X38 )
        & ? [X21] :
            ( ? [X16] :
                ( ? [X33] :
                    ( r2(X33,X16)
                    & r1(X33) )
                & r4(X16,X21,X38) )
            & ? [X15] :
                ( ? [X18] :
                    ( r2(X18,X15)
                    & r1(X18) )
                & r2(X15,X21) ) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ? [X38] :
      ( ? [X22] :
          ( ? [X24] :
              ( ? [X30] :
                  ( r2(X30,X24)
                  & r1(X30) )
              & r2(X24,X22) )
          & X22 = X38 )
      & ? [X21] :
          ( ? [X16] :
              ( ? [X33] :
                  ( r2(X33,X16)
                  & r1(X33) )
              & r4(X16,X21,X38) )
          & ? [X15] :
              ( ? [X18] :
                  ( r2(X18,X15)
                  & r1(X18) )
              & r2(X15,X21) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y490VBMKBI/Vampire---4.8_13231',onetimestwoeqtwo) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUN072+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.15  % 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
% 0.14/0.37  % Computer : n019.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Tue Apr 30 17:41:44 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  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.y490VBMKBI/Vampire---4.8_13231
% 0.71/0.92  % (13555)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)
% 0.71/0.92  % (13551)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)
% 0.71/0.92  % (13553)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.92  % (13552)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)
% 0.71/0.92  % (13554)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)
% 0.71/0.92  % (13556)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)
% 0.71/0.92  % (13557)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)
% 0.71/0.92  % (13555)Refutation not found, incomplete strategy% (13555)------------------------------
% 0.71/0.92  % (13555)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.92  % (13555)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92  
% 0.71/0.92  % (13555)Memory used [KB]: 1060
% 0.71/0.92  % (13555)Time elapsed: 0.002 s
% 0.71/0.92  % (13555)Instructions burned: 4 (million)
% 0.71/0.92  % (13555)------------------------------
% 0.71/0.92  % (13555)------------------------------
% 0.71/0.92  % (13556)Refutation not found, incomplete strategy% (13556)------------------------------
% 0.71/0.92  % (13556)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.92  % (13556)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92  
% 0.71/0.92  % (13556)Memory used [KB]: 1074
% 0.71/0.92  % (13556)Time elapsed: 0.003 s
% 0.71/0.92  % (13556)Instructions burned: 4 (million)
% 0.71/0.92  % (13556)------------------------------
% 0.71/0.92  % (13556)------------------------------
% 0.71/0.92  % (13551)Refutation not found, incomplete strategy% (13551)------------------------------
% 0.71/0.92  % (13551)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.92  % (13551)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92  
% 0.71/0.92  % (13551)Memory used [KB]: 1065
% 0.71/0.92  % (13551)Time elapsed: 0.004 s
% 0.71/0.92  % (13551)Instructions burned: 5 (million)
% 0.71/0.92  % (13551)------------------------------
% 0.71/0.92  % (13551)------------------------------
% 0.71/0.92  % (13554)Refutation not found, incomplete strategy% (13554)------------------------------
% 0.71/0.92  % (13554)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.92  % (13554)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92  
% 0.71/0.92  % (13554)Memory used [KB]: 1067
% 0.71/0.92  % (13554)Time elapsed: 0.004 s
% 0.71/0.92  % (13554)Instructions burned: 5 (million)
% 0.71/0.92  % (13554)------------------------------
% 0.71/0.92  % (13554)------------------------------
% 0.71/0.92  % (13558)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)
% 0.71/0.93  % (13560)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 (2994ds/55Mi)
% 0.71/0.93  % (13562)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 (2994ds/208Mi)
% 0.71/0.93  % (13561)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 (2994ds/50Mi)
% 0.71/0.93  % (13560)Refutation not found, incomplete strategy% (13560)------------------------------
% 0.71/0.93  % (13560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (13560)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93  
% 0.71/0.93  % (13560)Memory used [KB]: 1068
% 0.71/0.93  % (13560)Time elapsed: 0.004 s
% 0.71/0.93  % (13560)Instructions burned: 5 (million)
% 0.71/0.93  % (13560)------------------------------
% 0.71/0.93  % (13560)------------------------------
% 0.71/0.93  % (13563)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 (2994ds/52Mi)
% 0.71/0.94  % (13558)Instruction limit reached!
% 0.71/0.94  % (13558)------------------------------
% 0.71/0.94  % (13558)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.94  % (13558)Termination reason: Unknown
% 0.71/0.94  % (13558)Termination phase: Saturation
% 0.71/0.94  
% 0.71/0.94  % (13558)Memory used [KB]: 1275
% 0.71/0.94  % (13558)Time elapsed: 0.014 s
% 0.71/0.94  % (13558)Instructions burned: 59 (million)
% 0.71/0.94  % (13558)------------------------------
% 0.71/0.94  % (13558)------------------------------
% 0.71/0.94  % (13565)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 (2994ds/518Mi)
% 0.71/0.94  % (13565)Refutation not found, incomplete strategy% (13565)------------------------------
% 0.71/0.94  % (13565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.94  % (13565)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.94  
% 0.71/0.94  % (13565)Memory used [KB]: 1078
% 0.71/0.94  % (13565)Time elapsed: 0.002 s
% 0.71/0.94  % (13565)Instructions burned: 5 (million)
% 0.71/0.94  % (13565)------------------------------
% 0.71/0.94  % (13565)------------------------------
% 0.71/0.94  % (13566)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 (2994ds/42Mi)
% 0.80/0.94  % (13552)Instruction limit reached!
% 0.80/0.94  % (13552)------------------------------
% 0.80/0.94  % (13552)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.94  % (13552)Termination reason: Unknown
% 0.80/0.94  % (13552)Termination phase: Saturation
% 0.80/0.94  
% 0.80/0.94  % (13552)Memory used [KB]: 1271
% 0.80/0.94  % (13552)Time elapsed: 0.025 s
% 0.80/0.94  % (13552)Instructions burned: 52 (million)
% 0.80/0.94  % (13552)------------------------------
% 0.80/0.94  % (13552)------------------------------
% 0.80/0.95  % (13566)Refutation not found, incomplete strategy% (13566)------------------------------
% 0.80/0.95  % (13566)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.95  % (13566)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95  
% 0.80/0.95  % (13566)Memory used [KB]: 1105
% 0.80/0.95  % (13566)Time elapsed: 0.003 s
% 0.80/0.95  % (13566)Instructions burned: 8 (million)
% 0.80/0.95  % (13566)------------------------------
% 0.80/0.95  % (13566)------------------------------
% 0.80/0.95  % (13568)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 (2994ds/117Mi)
% 0.80/0.95  % (13567)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 (2994ds/243Mi)
% 0.80/0.95  % (13561)Instruction limit reached!
% 0.80/0.95  % (13561)------------------------------
% 0.80/0.95  % (13561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.95  % (13561)Termination reason: Unknown
% 0.80/0.95  % (13561)Termination phase: Saturation
% 0.80/0.95  
% 0.80/0.95  % (13561)Memory used [KB]: 1278
% 0.80/0.95  % (13561)Time elapsed: 0.025 s
% 0.80/0.95  % (13561)Instructions burned: 51 (million)
% 0.80/0.95  % (13561)------------------------------
% 0.80/0.95  % (13561)------------------------------
% 0.80/0.95  % (13569)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 (2994ds/143Mi)
% 0.80/0.95  % (13569)Refutation not found, incomplete strategy% (13569)------------------------------
% 0.80/0.95  % (13569)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.95  % (13569)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95  
% 0.80/0.95  % (13569)Memory used [KB]: 1059
% 0.80/0.95  % (13569)Time elapsed: 0.004 s
% 0.80/0.95  % (13569)Instructions burned: 5 (million)
% 0.80/0.95  % (13569)------------------------------
% 0.80/0.95  % (13569)------------------------------
% 0.80/0.95  % (13571)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 (2994ds/93Mi)
% 0.80/0.96  % (13568)Refutation not found, incomplete strategy% (13568)------------------------------
% 0.80/0.96  % (13568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.96  % (13568)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.96  
% 0.80/0.96  % (13568)Memory used [KB]: 1188
% 0.80/0.96  % (13568)Time elapsed: 0.010 s
% 0.80/0.96  % (13568)Instructions burned: 18 (million)
% 0.80/0.96  % (13568)------------------------------
% 0.80/0.96  % (13568)------------------------------
% 0.80/0.96  % (13572)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 (2994ds/62Mi)
% 0.80/0.96  % (13563)Instruction limit reached!
% 0.80/0.96  % (13563)------------------------------
% 0.80/0.96  % (13563)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.96  % (13563)Termination reason: Unknown
% 0.80/0.96  % (13563)Termination phase: Saturation
% 0.80/0.96  
% 0.80/0.96  % (13563)Memory used [KB]: 1247
% 0.80/0.96  % (13563)Time elapsed: 0.026 s
% 0.80/0.96  % (13563)Instructions burned: 54 (million)
% 0.80/0.96  % (13563)------------------------------
% 0.80/0.96  % (13563)------------------------------
% 0.80/0.96  % (13573)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 (2994ds/32Mi)
% 0.80/0.96  % (13574)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 (2994ds/1919Mi)
% 0.80/0.96  % (13553)Instruction limit reached!
% 0.80/0.96  % (13553)------------------------------
% 0.80/0.96  % (13553)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.96  % (13553)Termination reason: Unknown
% 0.80/0.96  % (13553)Termination phase: Saturation
% 0.80/0.96  
% 0.80/0.96  % (13553)Memory used [KB]: 1802
% 0.80/0.96  % (13553)Time elapsed: 0.042 s
% 0.80/0.96  % (13553)Instructions burned: 78 (million)
% 0.80/0.96  % (13553)------------------------------
% 0.80/0.96  % (13553)------------------------------
% 0.80/0.96  % (13557)Instruction limit reached!
% 0.80/0.96  % (13557)------------------------------
% 0.80/0.96  % (13557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.96  % (13557)Termination reason: Unknown
% 0.80/0.96  % (13557)Termination phase: Saturation
% 0.80/0.96  
% 0.80/0.96  % (13557)Memory used [KB]: 2172
% 0.80/0.96  % (13557)Time elapsed: 0.042 s
% 0.80/0.96  % (13557)Instructions burned: 83 (million)
% 0.80/0.96  % (13557)------------------------------
% 0.80/0.96  % (13557)------------------------------
% 0.80/0.96  % (13571)First to succeed.
% 0.80/0.96  % (13576)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 (2994ds/55Mi)
% 0.80/0.96  % (13577)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 (2994ds/53Mi)
% 0.80/0.97  % (13571)Refutation found. Thanks to Tanya!
% 0.80/0.97  % SZS status Theorem for Vampire---4
% 0.80/0.97  % SZS output start Proof for Vampire---4
% See solution above
% 0.80/0.97  % (13571)------------------------------
% 0.80/0.97  % (13571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.97  % (13571)Termination reason: Refutation
% 0.80/0.97  
% 0.80/0.97  % (13571)Memory used [KB]: 1108
% 0.80/0.97  % (13571)Time elapsed: 0.012 s
% 0.80/0.97  % (13571)Instructions burned: 20 (million)
% 0.80/0.97  % (13571)------------------------------
% 0.80/0.97  % (13571)------------------------------
% 0.80/0.97  % (13473)Success in time 0.583 s
% 0.80/0.97  % Vampire---4.8 exiting
%------------------------------------------------------------------------------