TSTP Solution File: NUN086+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUN086+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.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 Aug 31 18:07:50 EDT 2022

% Result   : Theorem 0.20s 0.59s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   86 (  34 unt;   0 def)
%            Number of atoms       :  269 (  84 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  263 (  80   ~;  51   |; 119   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   1 con; 0-2 aty)
%            Number of variables   :  216 ( 142   !;  74   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f249,plain,
    $false,
    inference(subsumption_resolution,[],[f247,f104]) ).

fof(f104,plain,
    r1(sK2),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X1] :
      ( sK2 != X1
      | r1(X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X1] :
      ( ( sK2 != X1
        & ~ r1(X1) )
      | ( sK2 = X1
        & r1(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f1,f30]) ).

fof(f30,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( X0 != X1
          & ~ r1(X1) )
        | ( X0 = X1
          & r1(X1) ) )
   => ! [X1] :
        ( ( sK2 != X1
          & ~ r1(X1) )
        | ( sK2 = X1
          & r1(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X0 != X1
        & ~ r1(X1) )
      | ( X0 = X1
        & r1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f247,plain,
    ~ r1(sK2),
    inference(resolution,[],[f243,f110]) ).

fof(f110,plain,
    ! [X0] : r2(X0,sK9(X0)),
    inference(equality_resolution,[],[f82]) ).

fof(f82,plain,
    ! [X2,X0] :
      ( sK9(X0) != X2
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X2] :
      ( ( ~ r2(X0,X2)
        & sK9(X0) != X2 )
      | ( r2(X0,X2)
        & sK9(X0) = X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f20,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( ~ r2(X0,X2)
            & X1 != X2 )
          | ( r2(X0,X2)
            & X1 = X2 ) )
     => ! [X2] :
          ( ( ~ r2(X0,X2)
            & sK9(X0) != X2 )
          | ( r2(X0,X2)
            & sK9(X0) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( ~ r2(X0,X2)
        & X1 != X2 )
      | ( r2(X0,X2)
        & X1 = X2 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( X3 = X4
        & r2(X2,X4) )
      | ( ~ r2(X2,X4)
        & X3 != X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f243,plain,
    ! [X0] :
      ( ~ r2(X0,sK9(sK2))
      | ~ r1(X0) ),
    inference(subsumption_resolution,[],[f242,f104]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ r1(X0)
      | ~ r1(sK2)
      | ~ r2(X0,sK9(sK2)) ),
    inference(duplicate_literal_removal,[],[f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ r2(X0,sK9(sK2))
      | ~ r1(X0)
      | ~ r1(sK2)
      | ~ r1(sK2) ),
    inference(resolution,[],[f238,f102]) ).

fof(f102,plain,
    ! [X2,X3,X1,X4] :
      ( ~ r4(X2,X1,X4)
      | ~ r2(X3,X1)
      | ~ r1(X2)
      | ~ r1(X4)
      | ~ r1(X3) ),
    inference(equality_resolution,[],[f62]) ).

fof(f62,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(X2)
      | ~ r4(X2,X1,X0)
      | ~ r1(X3)
      | ~ r2(X3,X1)
      | ~ r1(X4)
      | X0 != X4 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ r1(X2)
              | ~ r4(X2,X1,X0) )
          | ! [X3] :
              ( ~ r1(X3)
              | ~ r2(X3,X1) ) )
      | ! [X4] :
          ( ~ r1(X4)
          | X0 != X4 ) ),
    inference(rectify,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X3] :
              ( ~ r1(X3)
              | ~ r4(X3,X1,X0) )
          | ! [X2] :
              ( ~ r1(X2)
              | ~ r2(X2,X1) ) )
      | ! [X4] :
          ( ~ r1(X4)
          | X0 != X4 ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ? [X0] :
        ( ? [X1] :
            ( ? [X3] :
                ( r4(X3,X1,X0)
                & r1(X3) )
            & ? [X2] :
                ( r1(X2)
                & r2(X2,X1) ) )
        & ? [X4] :
            ( r1(X4)
            & X0 = X4 ) ),
    inference(rectify,[],[f13]) ).

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

fof(f12,conjecture,
    ? [X38] :
      ( ? [X21] :
          ( ? [X22] :
              ( r1(X22)
              & r2(X22,X21) )
          & ? [X15] :
              ( r4(X15,X21,X38)
              & r1(X15) ) )
      & ? [X16] :
          ( X16 = X38
          & r1(X16) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerotimesoneeqzero) ).

fof(f238,plain,
    r4(sK2,sK9(sK2),sK2),
    inference(superposition,[],[f132,f209]) ).

fof(f209,plain,
    sK2 = sK5(sK2,sK2),
    inference(superposition,[],[f192,f146]) ).

fof(f146,plain,
    ! [X0] : sK8(sK2,X0) = X0,
    inference(resolution,[],[f76,f120]) ).

fof(f120,plain,
    ! [X0] : r3(X0,sK2,X0),
    inference(backward_demodulation,[],[f113,f114]) ).

fof(f114,plain,
    ! [X0] : sK2 = sK1(X0),
    inference(resolution,[],[f64,f59]) ).

fof(f59,plain,
    ! [X0] : r1(sK1(X0)),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( sK0(X0) = X0
      & r3(X0,sK1(X0),sK0(X0))
      & r1(sK1(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f24,f27,f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 = X1
          & ? [X2] :
              ( r3(X0,X2,X1)
              & r1(X2) ) )
     => ( sK0(X0) = X0
        & ? [X2] :
            ( r3(X0,X2,sK0(X0))
            & r1(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X0] :
      ( ? [X2] :
          ( r3(X0,X2,sK0(X0))
          & r1(X2) )
     => ( r3(X0,sK1(X0),sK0(X0))
        & r1(sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,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/benchmark/theBenchmark.p',axiom_4a) ).

fof(f64,plain,
    ! [X1] :
      ( ~ r1(X1)
      | sK2 = X1 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f113,plain,
    ! [X0] : r3(X0,sK1(X0),X0),
    inference(forward_demodulation,[],[f60,f61]) ).

fof(f61,plain,
    ! [X0] : sK0(X0) = X0,
    inference(cnf_transformation,[],[f28]) ).

fof(f60,plain,
    ! [X0] : r3(X0,sK1(X0),sK0(X0)),
    inference(cnf_transformation,[],[f28]) ).

fof(f76,plain,
    ! [X3,X0,X1] :
      ( ~ r3(X1,X0,X3)
      | sK8(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X3] :
      ( ( r3(X1,X0,X3)
        & sK8(X0,X1) = X3 )
      | ( sK8(X0,X1) != X3
        & ~ r3(X1,X0,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f23,f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( r3(X1,X0,X3)
            & X2 = X3 )
          | ( X2 != X3
            & ~ r3(X1,X0,X3) ) )
     => ! [X3] :
          ( ( r3(X1,X0,X3)
            & sK8(X0,X1) = X3 )
          | ( sK8(X0,X1) != X3
            & ~ r3(X1,X0,X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( r3(X1,X0,X3)
        & X2 = X3 )
      | ( X2 != X3
        & ~ r3(X1,X0,X3) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X6,X5] :
    ? [X7] :
    ! [X8] :
      ( ( r3(X5,X6,X8)
        & X7 = X8 )
      | ( ~ r3(X5,X6,X8)
        & X7 != X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f192,plain,
    ! [X0] : sK8(X0,sK2) = sK5(sK2,X0),
    inference(resolution,[],[f184,f76]) ).

fof(f184,plain,
    ! [X0] : r3(sK2,X0,sK5(sK2,X0)),
    inference(superposition,[],[f99,f181]) ).

fof(f181,plain,
    ! [X0] : sK4(sK2,X0) = sK2,
    inference(resolution,[],[f145,f122]) ).

fof(f122,plain,
    ! [X0] : r4(X0,sK2,sK2),
    inference(backward_demodulation,[],[f118,f116]) ).

fof(f116,plain,
    ! [X1] : sK2 = sK10(X1),
    inference(resolution,[],[f64,f100]) ).

fof(f100,plain,
    ! [X0] : r1(sK10(X0)),
    inference(definition_unfolding,[],[f86,f85]) ).

fof(f85,plain,
    ! [X0] : sK12(X0) = sK10(X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( r4(X0,sK11(X0),sK10(X0))
      & r1(sK11(X0))
      & r1(sK12(X0))
      & sK12(X0) = sK10(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f45,f48,f47,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r4(X0,X2,X1)
              & r1(X2) )
          & ? [X3] :
              ( r1(X3)
              & X1 = X3 ) )
     => ( ? [X2] :
            ( r4(X0,X2,sK10(X0))
            & r1(X2) )
        & ? [X3] :
            ( r1(X3)
            & sK10(X0) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X2] :
          ( r4(X0,X2,sK10(X0))
          & r1(X2) )
     => ( r4(X0,sK11(X0),sK10(X0))
        & r1(sK11(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X3] :
          ( r1(X3)
          & sK10(X0) = X3 )
     => ( r1(sK12(X0))
        & sK12(X0) = sK10(X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r4(X0,X2,X1)
          & r1(X2) )
      & ? [X3] :
          ( r1(X3)
          & X1 = X3 ) ),
    inference(rectify,[],[f21]) ).

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

fof(f9,axiom,
    ! [X32] :
    ? [X33] :
      ( ? [X35] :
          ( r1(X35)
          & X33 = X35 )
      & ? [X34] :
          ( r1(X34)
          & r4(X32,X34,X33) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).

fof(f86,plain,
    ! [X0] : r1(sK12(X0)),
    inference(cnf_transformation,[],[f49]) ).

fof(f118,plain,
    ! [X0] : r4(X0,sK2,sK10(X0)),
    inference(backward_demodulation,[],[f88,f117]) ).

fof(f117,plain,
    ! [X2] : sK2 = sK11(X2),
    inference(resolution,[],[f64,f87]) ).

fof(f87,plain,
    ! [X0] : r1(sK11(X0)),
    inference(cnf_transformation,[],[f49]) ).

fof(f88,plain,
    ! [X0] : r4(X0,sK11(X0),sK10(X0)),
    inference(cnf_transformation,[],[f49]) ).

fof(f145,plain,
    ! [X3,X0,X1] :
      ( ~ r4(X0,X1,X3)
      | sK4(X1,X0) = X3 ),
    inference(backward_demodulation,[],[f74,f141]) ).

fof(f141,plain,
    ! [X2,X1] : sK7(X1,X2) = sK4(X2,X1),
    inference(resolution,[],[f74,f70]) ).

fof(f70,plain,
    ! [X0,X1] : r4(X1,X0,sK4(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( r3(sK4(X0,X1),X1,sK3(X0,X1))
      & r4(X1,X0,sK4(X0,X1))
      & r2(X0,sK6(X0,X1))
      & r4(X1,sK6(X0,X1),sK5(X0,X1))
      & sK3(X0,X1) = sK5(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f32,f36,f35,f34,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( r3(X3,X1,X2)
              & r4(X1,X0,X3) )
          & ? [X4] :
              ( ? [X5] :
                  ( r2(X0,X5)
                  & r4(X1,X5,X4) )
              & X2 = X4 ) )
     => ( ? [X3] :
            ( r3(X3,X1,sK3(X0,X1))
            & r4(X1,X0,X3) )
        & ? [X4] :
            ( ? [X5] :
                ( r2(X0,X5)
                & r4(X1,X5,X4) )
            & sK3(X0,X1) = X4 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( r3(X3,X1,sK3(X0,X1))
          & r4(X1,X0,X3) )
     => ( r3(sK4(X0,X1),X1,sK3(X0,X1))
        & r4(X1,X0,sK4(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( r2(X0,X5)
              & r4(X1,X5,X4) )
          & sK3(X0,X1) = X4 )
     => ( ? [X5] :
            ( r2(X0,X5)
            & r4(X1,X5,sK5(X0,X1)) )
        & sK3(X0,X1) = sK5(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( r2(X0,X5)
          & r4(X1,X5,sK5(X0,X1)) )
     => ( r2(X0,sK6(X0,X1))
        & r4(X1,sK6(X0,X1),sK5(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X3,X1,X2)
          & r4(X1,X0,X3) )
      & ? [X4] :
          ( ? [X5] :
              ( r2(X0,X5)
              & r4(X1,X5,X4) )
          & X2 = X4 ) ),
    inference(rectify,[],[f16]) ).

fof(f16,plain,
    ! [X1,X0] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X3,X0,X2)
          & r4(X0,X1,X3) )
      & ? [X4] :
          ( ? [X5] :
              ( r2(X1,X5)
              & r4(X0,X5,X4) )
          & X2 = X4 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X19,X20] :
    ? [X21] :
      ( ? [X24] :
          ( r3(X24,X19,X21)
          & r4(X19,X20,X24) )
      & ? [X22] :
          ( ? [X23] :
              ( r2(X20,X23)
              & r4(X19,X23,X22) )
          & X21 = X22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).

fof(f74,plain,
    ! [X3,X0,X1] :
      ( ~ r4(X0,X1,X3)
      | sK7(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X3] :
      ( ( sK7(X0,X1) = X3
        & r4(X0,X1,X3) )
      | ( sK7(X0,X1) != X3
        & ~ r4(X0,X1,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f22,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( X2 = X3
            & r4(X0,X1,X3) )
          | ( X2 != X3
            & ~ r4(X0,X1,X3) ) )
     => ! [X3] :
          ( ( sK7(X0,X1) = X3
            & r4(X0,X1,X3) )
          | ( sK7(X0,X1) != X3
            & ~ r4(X0,X1,X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f22,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/benchmark/theBenchmark.p',axiom_4) ).

fof(f99,plain,
    ! [X0,X1] : r3(sK4(X0,X1),X1,sK5(X0,X1)),
    inference(definition_unfolding,[],[f71,f67]) ).

fof(f67,plain,
    ! [X0,X1] : sK3(X0,X1) = sK5(X0,X1),
    inference(cnf_transformation,[],[f37]) ).

fof(f71,plain,
    ! [X0,X1] : r3(sK4(X0,X1),X1,sK3(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

fof(f132,plain,
    ! [X0,X1] : r4(X1,sK9(X0),sK5(X0,X1)),
    inference(backward_demodulation,[],[f68,f128]) ).

fof(f128,plain,
    ! [X2,X1] : sK6(X1,X2) = sK9(X1),
    inference(resolution,[],[f83,f69]) ).

fof(f69,plain,
    ! [X0,X1] : r2(X0,sK6(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

fof(f83,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | sK9(X0) = X2 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f68,plain,
    ! [X0,X1] : r4(X1,sK6(X0,X1),sK5(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : NUN086+2 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 10:03:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.56  % (7303)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.56  % (7292)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.57  % (7304)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (7312)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.57  % (7294)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58  % (7293)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.58  % (7293)Refutation not found, incomplete strategy% (7293)------------------------------
% 0.20/0.58  % (7293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (7311)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.58  % (7311)Refutation not found, incomplete strategy% (7311)------------------------------
% 0.20/0.58  % (7311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (7311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (7311)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (7311)Memory used [KB]: 6012
% 0.20/0.58  % (7311)Time elapsed: 0.156 s
% 0.20/0.58  % (7311)Instructions burned: 4 (million)
% 0.20/0.58  % (7311)------------------------------
% 0.20/0.58  % (7311)------------------------------
% 0.20/0.59  % (7293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (7293)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59  
% 0.20/0.59  % (7293)Memory used [KB]: 6012
% 0.20/0.59  % (7293)Time elapsed: 0.156 s
% 0.20/0.59  % (7293)Instructions burned: 3 (million)
% 0.20/0.59  % (7293)------------------------------
% 0.20/0.59  % (7293)------------------------------
% 0.20/0.59  % (7284)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.59  % (7312)First to succeed.
% 0.20/0.59  % (7284)Refutation not found, incomplete strategy% (7284)------------------------------
% 0.20/0.59  % (7284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (7284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (7284)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59  
% 0.20/0.59  % (7284)Memory used [KB]: 6012
% 0.20/0.59  % (7284)Time elapsed: 0.167 s
% 0.20/0.59  % (7284)Instructions burned: 3 (million)
% 0.20/0.59  % (7284)------------------------------
% 0.20/0.59  % (7284)------------------------------
% 0.20/0.59  % (7312)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Theorem for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60  % (7312)------------------------------
% 0.20/0.60  % (7312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (7312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (7312)Termination reason: Refutation
% 0.20/0.60  
% 0.20/0.60  % (7312)Memory used [KB]: 6140
% 0.20/0.60  % (7312)Time elapsed: 0.154 s
% 0.20/0.60  % (7312)Instructions burned: 8 (million)
% 0.20/0.60  % (7312)------------------------------
% 0.20/0.60  % (7312)------------------------------
% 0.20/0.60  % (7282)Success in time 0.237 s
%------------------------------------------------------------------------------