TSTP Solution File: KRS098+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS098+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 : Mon May 20 23:21:57 EDT 2024

% Result   : Unsatisfiable 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   77 (  20 unt;   0 def)
%            Number of atoms       :  410 (  40 equ)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  474 ( 141   ~; 128   |; 174   &)
%                                         (   9 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-1 aty)
%            Number of variables   :  225 ( 149   !;  76   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f417,plain,
    $false,
    inference(subsumption_resolution,[],[f409,f280]) ).

fof(f280,plain,
    ~ ce(sK13(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f277,f186]) ).

fof(f186,plain,
    ! [X0] :
      ( ~ ce(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ ce(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ~ ( cc(X0)
        & ce(X0) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X3] :
      ~ ( cc(X3)
        & ce(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f277,plain,
    cc(sK13(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f148,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cc(sK13(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ~ cc(X2)
                | ~ rt1(X1,X2) )
            | ~ sP2(X1)
            | ~ rr1(X0,X1) )
        | ~ sP3(X0)
        | ! [X3] :
            ( ! [X4] :
                ( ~ cd(X4)
                | ~ rt2(X3,X4) )
            | ~ sP1(X3)
            | ~ rr2(X0,X3) )
        | ! [X5] :
            ( ~ sP0(X5)
            | ! [X6] :
                ( ~ ce(X6)
                | ~ rt3(X5,X6) )
            | ~ rr3(X0,X5) ) )
      & ( ( cc(sK13(X0))
          & rt1(sK12(X0),sK13(X0))
          & sP2(sK12(X0))
          & rr1(X0,sK12(X0))
          & sP3(X0)
          & cd(sK15(X0))
          & rt2(sK14(X0),sK15(X0))
          & sP1(sK14(X0))
          & rr2(X0,sK14(X0))
          & sP0(sK16(X0))
          & ce(sK17(X0))
          & rt3(sK16(X0),sK17(X0))
          & rr3(X0,sK16(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16,sK17])],[f140,f146,f145,f144,f143,f142,f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ? [X7] :
          ( ? [X8] :
              ( cc(X8)
              & rt1(X7,X8) )
          & sP2(X7)
          & rr1(X0,X7) )
     => ( ? [X8] :
            ( cc(X8)
            & rt1(sK12(X0),X8) )
        & sP2(sK12(X0))
        & rr1(X0,sK12(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ! [X0] :
      ( ? [X8] :
          ( cc(X8)
          & rt1(sK12(X0),X8) )
     => ( cc(sK13(X0))
        & rt1(sK12(X0),sK13(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0] :
      ( ? [X9] :
          ( ? [X10] :
              ( cd(X10)
              & rt2(X9,X10) )
          & sP1(X9)
          & rr2(X0,X9) )
     => ( ? [X10] :
            ( cd(X10)
            & rt2(sK14(X0),X10) )
        & sP1(sK14(X0))
        & rr2(X0,sK14(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ! [X0] :
      ( ? [X10] :
          ( cd(X10)
          & rt2(sK14(X0),X10) )
     => ( cd(sK15(X0))
        & rt2(sK14(X0),sK15(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ! [X0] :
      ( ? [X11] :
          ( sP0(X11)
          & ? [X12] :
              ( ce(X12)
              & rt3(X11,X12) )
          & rr3(X0,X11) )
     => ( sP0(sK16(X0))
        & ? [X12] :
            ( ce(X12)
            & rt3(sK16(X0),X12) )
        & rr3(X0,sK16(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ! [X0] :
      ( ? [X12] :
          ( ce(X12)
          & rt3(sK16(X0),X12) )
     => ( ce(sK17(X0))
        & rt3(sK16(X0),sK17(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ~ cc(X2)
                | ~ rt1(X1,X2) )
            | ~ sP2(X1)
            | ~ rr1(X0,X1) )
        | ~ sP3(X0)
        | ! [X3] :
            ( ! [X4] :
                ( ~ cd(X4)
                | ~ rt2(X3,X4) )
            | ~ sP1(X3)
            | ~ rr2(X0,X3) )
        | ! [X5] :
            ( ~ sP0(X5)
            | ! [X6] :
                ( ~ ce(X6)
                | ~ rt3(X5,X6) )
            | ~ rr3(X0,X5) ) )
      & ( ( ? [X7] :
              ( ? [X8] :
                  ( cc(X8)
                  & rt1(X7,X8) )
              & sP2(X7)
              & rr1(X0,X7) )
          & sP3(X0)
          & ? [X9] :
              ( ? [X10] :
                  ( cd(X10)
                  & rt2(X9,X10) )
              & sP1(X9)
              & rr2(X0,X9) )
          & ? [X11] :
              ( sP0(X11)
              & ? [X12] :
                  ( ce(X12)
                  & rt3(X11,X12) )
              & rr3(X0,X11) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ~ cc(X2)
                | ~ rt1(X1,X2) )
            | ~ sP2(X1)
            | ~ rr1(X0,X1) )
        | ~ sP3(X0)
        | ! [X7] :
            ( ! [X8] :
                ( ~ cd(X8)
                | ~ rt2(X7,X8) )
            | ~ sP1(X7)
            | ~ rr2(X0,X7) )
        | ! [X11] :
            ( ~ sP0(X11)
            | ! [X14] :
                ( ~ ce(X14)
                | ~ rt3(X11,X14) )
            | ~ rr3(X0,X11) ) )
      & ( ( ? [X1] :
              ( ? [X2] :
                  ( cc(X2)
                  & rt1(X1,X2) )
              & sP2(X1)
              & rr1(X0,X1) )
          & sP3(X0)
          & ? [X7] :
              ( ? [X8] :
                  ( cd(X8)
                  & rt2(X7,X8) )
              & sP1(X7)
              & rr2(X0,X7) )
          & ? [X11] :
              ( sP0(X11)
              & ? [X14] :
                  ( ce(X14)
                  & rt3(X11,X14) )
              & rr3(X0,X11) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ~ cc(X2)
                | ~ rt1(X1,X2) )
            | ~ sP2(X1)
            | ~ rr1(X0,X1) )
        | ~ sP3(X0)
        | ! [X7] :
            ( ! [X8] :
                ( ~ cd(X8)
                | ~ rt2(X7,X8) )
            | ~ sP1(X7)
            | ~ rr2(X0,X7) )
        | ! [X11] :
            ( ~ sP0(X11)
            | ! [X14] :
                ( ~ ce(X14)
                | ~ rt3(X11,X14) )
            | ~ rr3(X0,X11) ) )
      & ( ( ? [X1] :
              ( ? [X2] :
                  ( cc(X2)
                  & rt1(X1,X2) )
              & sP2(X1)
              & rr1(X0,X1) )
          & sP3(X0)
          & ? [X7] :
              ( ? [X8] :
                  ( cd(X8)
                  & rt2(X7,X8) )
              & sP1(X7)
              & rr2(X0,X7) )
          & ? [X11] :
              ( sP0(X11)
              & ? [X14] :
                  ( ce(X14)
                  & rt3(X11,X14) )
              & rr3(X0,X11) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( ? [X2] :
                ( cc(X2)
                & rt1(X1,X2) )
            & sP2(X1)
            & rr1(X0,X1) )
        & sP3(X0)
        & ? [X7] :
            ( ? [X8] :
                ( cd(X8)
                & rt2(X7,X8) )
            & sP1(X7)
            & rr2(X0,X7) )
        & ? [X11] :
            ( sP0(X11)
            & ? [X14] :
                ( ce(X14)
                & rt3(X11,X14) )
            & rr3(X0,X11) ) ) ),
    inference(definition_folding,[],[f54,f117,f116,f115,f114]) ).

fof(f114,plain,
    ! [X11] :
      ( sP0(X11)
    <=> ! [X12,X13] :
          ( X12 = X13
          | ~ rtt(X11,X13)
          | ~ rtt(X11,X12) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f115,plain,
    ! [X7] :
      ( sP1(X7)
    <=> ! [X9,X10] :
          ( X9 = X10
          | ~ rtt(X7,X10)
          | ~ rtt(X7,X9) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f116,plain,
    ! [X1] :
      ( sP2(X1)
    <=> ! [X3,X4] :
          ( X3 = X4
          | ~ rtt(X1,X4)
          | ~ rtt(X1,X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f117,plain,
    ! [X0] :
      ( sP3(X0)
    <=> ! [X5,X6] :
          ( X5 = X6
          | ~ rr(X0,X6)
          | ~ rr(X0,X5) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f54,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( ? [X2] :
                ( cc(X2)
                & rt1(X1,X2) )
            & ! [X3,X4] :
                ( X3 = X4
                | ~ rtt(X1,X4)
                | ~ rtt(X1,X3) )
            & rr1(X0,X1) )
        & ! [X5,X6] :
            ( X5 = X6
            | ~ rr(X0,X6)
            | ~ rr(X0,X5) )
        & ? [X7] :
            ( ? [X8] :
                ( cd(X8)
                & rt2(X7,X8) )
            & ! [X9,X10] :
                ( X9 = X10
                | ~ rtt(X7,X10)
                | ~ rtt(X7,X9) )
            & rr2(X0,X7) )
        & ? [X11] :
            ( ! [X12,X13] :
                ( X12 = X13
                | ~ rtt(X11,X13)
                | ~ rtt(X11,X12) )
            & ? [X14] :
                ( ce(X14)
                & rt3(X11,X14) )
            & rr3(X0,X11) ) ) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( ? [X2] :
                ( cc(X2)
                & rt1(X1,X2) )
            & ! [X3,X4] :
                ( X3 = X4
                | ~ rtt(X1,X4)
                | ~ rtt(X1,X3) )
            & rr1(X0,X1) )
        & ! [X5,X6] :
            ( X5 = X6
            | ~ rr(X0,X6)
            | ~ rr(X0,X5) )
        & ? [X7] :
            ( ? [X8] :
                ( cd(X8)
                & rt2(X7,X8) )
            & ! [X9,X10] :
                ( X9 = X10
                | ~ rtt(X7,X10)
                | ~ rtt(X7,X9) )
            & rr2(X0,X7) )
        & ? [X11] :
            ( ! [X12,X13] :
                ( X12 = X13
                | ~ rtt(X11,X13)
                | ~ rtt(X11,X12) )
            & ? [X14] :
                ( ce(X14)
                & rt3(X11,X14) )
            & rr3(X0,X11) ) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( ? [X2] :
                ( cc(X2)
                & rt1(X1,X2) )
            & ! [X3,X4] :
                ( ( rtt(X1,X4)
                  & rtt(X1,X3) )
               => X3 = X4 )
            & rr1(X0,X1) )
        & ~ ? [X5,X6] :
              ( X5 != X6
              & rr(X0,X6)
              & rr(X0,X5) )
        & ? [X7] :
            ( ? [X8] :
                ( cd(X8)
                & rt2(X7,X8) )
            & ! [X9,X10] :
                ( ( rtt(X7,X10)
                  & rtt(X7,X9) )
               => X9 = X10 )
            & rr2(X0,X7) )
        & ? [X11] :
            ( ! [X12,X13] :
                ( ( rtt(X11,X13)
                  & rtt(X11,X12) )
               => X12 = X13 )
            & ? [X14] :
                ( ce(X14)
                & rt3(X11,X14) )
            & rr3(X0,X11) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ? [X4] :
            ( ? [X5] :
                ( cc(X5)
                & rt1(X4,X5) )
            & ! [X6,X7] :
                ( ( rtt(X4,X7)
                  & rtt(X4,X6) )
               => X6 = X7 )
            & rr1(X3,X4) )
        & ~ ? [X8,X9] :
              ( X8 != X9
              & rr(X3,X9)
              & rr(X3,X8) )
        & ? [X4] :
            ( ? [X5] :
                ( cd(X5)
                & rt2(X4,X5) )
            & ! [X6,X7] :
                ( ( rtt(X4,X7)
                  & rtt(X4,X6) )
               => X6 = X7 )
            & rr2(X3,X4) )
        & ? [X4] :
            ( ! [X6,X7] :
                ( ( rtt(X4,X7)
                  & rtt(X4,X6) )
               => X6 = X7 )
            & ? [X5] :
                ( ce(X5)
                & rt3(X4,X5) )
            & rr3(X3,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f148,plain,
    cUnsatisfiable(i2003_11_14_17_20_25524),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    cUnsatisfiable(i2003_11_14_17_20_25524),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f409,plain,
    ce(sK13(i2003_11_14_17_20_25524)),
    inference(superposition,[],[f258,f381]) ).

fof(f381,plain,
    sK13(i2003_11_14_17_20_25524) = sK17(i2003_11_14_17_20_25524),
    inference(unit_resulting_resolution,[],[f275,f313,f348,f160]) ).

fof(f160,plain,
    ! [X3,X0,X4] :
      ( ~ rtt(X0,X4)
      | X3 = X4
      | ~ rtt(X0,X3)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ( sK6(X0) != sK7(X0)
          & rtt(X0,sK7(X0))
          & rtt(X0,sK6(X0)) ) )
      & ( ! [X3,X4] :
            ( X3 = X4
            | ~ rtt(X0,X4)
            | ~ rtt(X0,X3) )
        | ~ sP2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f127,f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & rtt(X0,X2)
          & rtt(X0,X1) )
     => ( sK6(X0) != sK7(X0)
        & rtt(X0,sK7(X0))
        & rtt(X0,sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rtt(X0,X2)
            & rtt(X0,X1) ) )
      & ( ! [X3,X4] :
            ( X3 = X4
            | ~ rtt(X0,X4)
            | ~ rtt(X0,X3) )
        | ~ sP2(X0) ) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X1] :
      ( ( sP2(X1)
        | ? [X3,X4] :
            ( X3 != X4
            & rtt(X1,X4)
            & rtt(X1,X3) ) )
      & ( ! [X3,X4] :
            ( X3 = X4
            | ~ rtt(X1,X4)
            | ~ rtt(X1,X3) )
        | ~ sP2(X1) ) ),
    inference(nnf_transformation,[],[f116]) ).

fof(f348,plain,
    rtt(sK12(i2003_11_14_17_20_25524),sK17(i2003_11_14_17_20_25524)),
    inference(superposition,[],[f304,f330]) ).

fof(f330,plain,
    sK16(i2003_11_14_17_20_25524) = sK12(i2003_11_14_17_20_25524),
    inference(unit_resulting_resolution,[],[f256,f296,f300,f156]) ).

fof(f156,plain,
    ! [X3,X0,X4] :
      ( ~ rr(X0,X4)
      | X3 = X4
      | ~ rr(X0,X3)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ( sP3(X0)
        | ( sK4(X0) != sK5(X0)
          & rr(X0,sK5(X0))
          & rr(X0,sK4(X0)) ) )
      & ( ! [X3,X4] :
            ( X3 = X4
            | ~ rr(X0,X4)
            | ~ rr(X0,X3) )
        | ~ sP3(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f123,f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & rr(X0,X2)
          & rr(X0,X1) )
     => ( sK4(X0) != sK5(X0)
        & rr(X0,sK5(X0))
        & rr(X0,sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ! [X0] :
      ( ( sP3(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X2)
            & rr(X0,X1) ) )
      & ( ! [X3,X4] :
            ( X3 = X4
            | ~ rr(X0,X4)
            | ~ rr(X0,X3) )
        | ~ sP3(X0) ) ),
    inference(rectify,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ( sP3(X0)
        | ? [X5,X6] :
            ( X5 != X6
            & rr(X0,X6)
            & rr(X0,X5) ) )
      & ( ! [X5,X6] :
            ( X5 = X6
            | ~ rr(X0,X6)
            | ~ rr(X0,X5) )
        | ~ sP3(X0) ) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f300,plain,
    rr(i2003_11_14_17_20_25524,sK12(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f294,f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ rr1(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rr1(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( rr1(X0,X1)
     => rr(X0,X1) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X4] :
      ( rr1(X3,X4)
     => rr(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f294,plain,
    rr1(i2003_11_14_17_20_25524,sK12(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f148,f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rr1(X0,sK12(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f296,plain,
    rr(i2003_11_14_17_20_25524,sK16(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f290,f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ rr3(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rr3(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( rr3(X0,X1)
     => rr(X0,X1) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X3,X4] :
      ( rr3(X3,X4)
     => rr(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f290,plain,
    rr3(i2003_11_14_17_20_25524,sK16(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f148,f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rr3(X0,sK16(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f256,plain,
    sP3(i2003_11_14_17_20_25524),
    inference(unit_resulting_resolution,[],[f148,f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | sP3(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f304,plain,
    rtt(sK16(i2003_11_14_17_20_25524),sK17(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f302,f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ rt3(X0,X1)
      | rtt(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( rtt(X0,X1)
      | ~ rt3(X0,X1) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( rt3(X0,X1)
     => rtt(X0,X1) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X3,X4] :
      ( rt3(X3,X4)
     => rtt(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f302,plain,
    rt3(sK16(i2003_11_14_17_20_25524),sK17(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f148,f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rt3(sK16(X0),sK17(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f313,plain,
    rtt(sK12(i2003_11_14_17_20_25524),sK13(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f310,f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ rt1(X0,X1)
      | rtt(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( rtt(X0,X1)
      | ~ rt1(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( rt1(X0,X1)
     => rtt(X0,X1) ),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X3,X4] :
      ( rt1(X3,X4)
     => rtt(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(f310,plain,
    rt1(sK12(i2003_11_14_17_20_25524),sK13(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f148,f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rt1(sK12(X0),sK13(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f275,plain,
    sP2(sK12(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f148,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | sP2(sK12(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f258,plain,
    ce(sK17(i2003_11_14_17_20_25524)),
    inference(unit_resulting_resolution,[],[f148,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ce(sK17(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS098+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n008.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   : Sat May 18 22:37:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (6970)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (6975)WARNING: value z3 for option sas not known
% 0.14/0.38  % (6973)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (6974)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (6975)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (6977)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (6976)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (6978)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (6979)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  % (6979)First to succeed.
% 0.14/0.38  % (6978)Also succeeded, but the first one will report.
% 0.14/0.39  % (6979)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6970"
% 0.14/0.39  % (6979)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (6979)------------------------------
% 0.14/0.39  % (6979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39  % (6979)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (6979)Memory used [KB]: 938
% 0.14/0.39  % (6979)Time elapsed: 0.010 s
% 0.14/0.39  % (6979)Instructions burned: 13 (million)
% 0.14/0.39  % (6970)Success in time 0.025 s
%------------------------------------------------------------------------------