TSTP Solution File: KRS063+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : KRS063+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n006.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 : Sat Sep 17 17:44:34 EDT 2022

% Result   : Unsatisfiable 0.21s 0.40s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   64 (  13 unt;   8 typ;   0 def)
%            Number of atoms       :  302 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :  506 ( 274   ~; 163   |;  27   &)
%                                         (  42 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   14 (  14 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   6   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   95 (  84   !;   4   ?;  95   :)

% Comments : 
%------------------------------------------------------------------------------
tff(cowlThing_type,type,
    cowlThing: $i > $o ).

tff(iUK_type,type,
    iUK: $i ).

tff(cowlNothing_type,type,
    cowlNothing: $i > $o ).

tff(risEuroMPFrom_type,type,
    risEuroMPFrom: ( $i * $i ) > $o ).

tff(iKinnock_type,type,
    iKinnock: $i ).

tff(rhasEuroMP_type,type,
    rhasEuroMP: ( $i * $i ) > $o ).

tff(cEuroMP_type,type,
    cEuroMP: $i > $o ).

tff(tptp_fun_Y_0_type,type,
    tptp_fun_Y_0: $i > $i ).

tff(1,plain,
    ^ [X: $i,Y: $i] :
      refl(
        ( ( risEuroMPFrom(X,Y)
        <=> rhasEuroMP(Y,X) )
      <=> ( risEuroMPFrom(X,Y)
        <=> rhasEuroMP(Y,X) ) )),
    inference(bind,[status(th)],]) ).

tff(2,plain,
    ( ! [X: $i,Y: $i] :
        ( risEuroMPFrom(X,Y)
      <=> rhasEuroMP(Y,X) )
  <=> ! [X: $i,Y: $i] :
        ( risEuroMPFrom(X,Y)
      <=> rhasEuroMP(Y,X) ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ( ! [X: $i,Y: $i] :
        ( risEuroMPFrom(X,Y)
      <=> rhasEuroMP(Y,X) )
  <=> ! [X: $i,Y: $i] :
        ( risEuroMPFrom(X,Y)
      <=> rhasEuroMP(Y,X) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(4,axiom,
    ! [X: $i,Y: $i] :
      ( risEuroMPFrom(X,Y)
    <=> rhasEuroMP(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

tff(5,plain,
    ! [X: $i,Y: $i] :
      ( risEuroMPFrom(X,Y)
    <=> rhasEuroMP(Y,X) ),
    inference(modus_ponens,[status(thm)],[4,3]) ).

tff(6,plain,
    ! [X: $i,Y: $i] :
      ( risEuroMPFrom(X,Y)
    <=> rhasEuroMP(Y,X) ),
    inference(skolemize,[status(sab)],[5]) ).

tff(7,plain,
    ! [X: $i,Y: $i] :
      ( risEuroMPFrom(X,Y)
    <=> rhasEuroMP(Y,X) ),
    inference(modus_ponens,[status(thm)],[6,2]) ).

tff(8,plain,
    ( ~ ! [X: $i,Y: $i] :
          ( risEuroMPFrom(X,Y)
        <=> rhasEuroMP(Y,X) )
    | ( risEuroMPFrom(iKinnock,iUK)
    <=> rhasEuroMP(iUK,iKinnock) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(9,plain,
    ( risEuroMPFrom(iKinnock,iUK)
  <=> rhasEuroMP(iUK,iKinnock) ),
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,plain,
    ( rhasEuroMP(iUK,iKinnock)
  <=> rhasEuroMP(iUK,iKinnock) ),
    inference(rewrite,[status(thm)],]) ).

tff(11,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

tff(12,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(modus_ponens,[status(thm)],[11,10]) ).

tff(13,plain,
    ( ~ ( risEuroMPFrom(iKinnock,iUK)
      <=> rhasEuroMP(iUK,iKinnock) )
    | risEuroMPFrom(iKinnock,iUK)
    | ~ rhasEuroMP(iUK,iKinnock) ),
    inference(tautology,[status(thm)],]) ).

tff(14,plain,
    ( ~ ( risEuroMPFrom(iKinnock,iUK)
      <=> rhasEuroMP(iUK,iKinnock) )
    | risEuroMPFrom(iKinnock,iUK) ),
    inference(unit_resolution,[status(thm)],[13,12]) ).

tff(15,plain,
    risEuroMPFrom(iKinnock,iUK),
    inference(unit_resolution,[status(thm)],[14,9]) ).

tff(16,plain,
    ^ [X: $i] :
      refl(
        ( ~ ( ~ ( ~ cEuroMP(X)
                | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                    | ~ cowlThing(tptp_fun_Y_0(X)) ) )
            | ~ ( cEuroMP(X)
                | ! [Y: $i] :
                    ( ~ cowlThing(Y)
                    | ~ risEuroMPFrom(X,Y) ) ) )
      <=> ~ ( ~ ( ~ cEuroMP(X)
                | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                    | ~ cowlThing(tptp_fun_Y_0(X)) ) )
            | ~ ( cEuroMP(X)
                | ! [Y: $i] :
                    ( ~ cowlThing(Y)
                    | ~ risEuroMPFrom(X,Y) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(17,plain,
    ( ! [X: $i] :
        ~ ( ~ ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
          | ~ ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) )
  <=> ! [X: $i] :
        ~ ( ~ ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
          | ~ ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) ) ),
    inference(quant_intro,[status(thm)],[16]) ).

tff(18,plain,
    ^ [X: $i] :
      rewrite(
        ( ~ ( ~ ( ~ cEuroMP(X)
                | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                    | ~ cowlThing(tptp_fun_Y_0(X)) ) )
            | ~ ( cEuroMP(X)
                | ! [Y: $i] :
                    ( ~ cowlThing(Y)
                    | ~ risEuroMPFrom(X,Y) ) ) )
      <=> ~ ( ~ ( ~ cEuroMP(X)
                | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                    | ~ cowlThing(tptp_fun_Y_0(X)) ) )
            | ~ ( cEuroMP(X)
                | ! [Y: $i] :
                    ( ~ cowlThing(Y)
                    | ~ risEuroMPFrom(X,Y) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(19,plain,
    ( ! [X: $i] :
        ~ ( ~ ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
          | ~ ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) )
  <=> ! [X: $i] :
        ~ ( ~ ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
          | ~ ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) ) ),
    inference(quant_intro,[status(thm)],[18]) ).

tff(20,plain,
    ( ! [X: $i] :
        ~ ( ~ ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
          | ~ ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) )
  <=> ! [X: $i] :
        ~ ( ~ ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
          | ~ ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) ) ),
    inference(transitivity,[status(thm)],[19,17]) ).

tff(21,plain,
    ^ [X: $i] :
      trans(
        monotonicity(
          rewrite(
            ( ( ~ cEuroMP(X)
              | ( risEuroMPFrom(X,tptp_fun_Y_0(X))
                & cowlThing(tptp_fun_Y_0(X)) ) )
          <=> ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) ) )),
          rewrite(
            ( ( cEuroMP(X)
              | ! [Y: $i] :
                  ~ ( risEuroMPFrom(X,Y)
                    & cowlThing(Y) ) )
          <=> ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) )),
          ( ( ( ~ cEuroMP(X)
              | ( risEuroMPFrom(X,tptp_fun_Y_0(X))
                & cowlThing(tptp_fun_Y_0(X)) ) )
            & ( cEuroMP(X)
              | ! [Y: $i] :
                  ~ ( risEuroMPFrom(X,Y)
                    & cowlThing(Y) ) ) )
        <=> ( ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
            & ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) ) )),
        rewrite(
          ( ( ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
            & ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) )
        <=> ~ ( ~ ( ~ cEuroMP(X)
                  | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                      | ~ cowlThing(tptp_fun_Y_0(X)) ) )
              | ~ ( cEuroMP(X)
                  | ! [Y: $i] :
                      ( ~ cowlThing(Y)
                      | ~ risEuroMPFrom(X,Y) ) ) ) )),
        ( ( ( ~ cEuroMP(X)
            | ( risEuroMPFrom(X,tptp_fun_Y_0(X))
              & cowlThing(tptp_fun_Y_0(X)) ) )
          & ( cEuroMP(X)
            | ! [Y: $i] :
                ~ ( risEuroMPFrom(X,Y)
                  & cowlThing(Y) ) ) )
      <=> ~ ( ~ ( ~ cEuroMP(X)
                | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                    | ~ cowlThing(tptp_fun_Y_0(X)) ) )
            | ~ ( cEuroMP(X)
                | ! [Y: $i] :
                    ( ~ cowlThing(Y)
                    | ~ risEuroMPFrom(X,Y) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(22,plain,
    ( ! [X: $i] :
        ( ( ~ cEuroMP(X)
          | ( risEuroMPFrom(X,tptp_fun_Y_0(X))
            & cowlThing(tptp_fun_Y_0(X)) ) )
        & ( cEuroMP(X)
          | ! [Y: $i] :
              ~ ( risEuroMPFrom(X,Y)
                & cowlThing(Y) ) ) )
  <=> ! [X: $i] :
        ~ ( ~ ( ~ cEuroMP(X)
              | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                  | ~ cowlThing(tptp_fun_Y_0(X)) ) )
          | ~ ( cEuroMP(X)
              | ! [Y: $i] :
                  ( ~ cowlThing(Y)
                  | ~ risEuroMPFrom(X,Y) ) ) ) ),
    inference(quant_intro,[status(thm)],[21]) ).

tff(23,plain,
    ( ! [X: $i] :
        ( cEuroMP(X)
      <=> ? [Y: $i] :
            ( risEuroMPFrom(X,Y)
            & cowlThing(Y) ) )
  <=> ! [X: $i] :
        ( cEuroMP(X)
      <=> ? [Y: $i] :
            ( risEuroMPFrom(X,Y)
            & cowlThing(Y) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(24,axiom,
    ! [X: $i] :
      ( cEuroMP(X)
    <=> ? [Y: $i] :
          ( risEuroMPFrom(X,Y)
          & cowlThing(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

tff(25,plain,
    ! [X: $i] :
      ( cEuroMP(X)
    <=> ? [Y: $i] :
          ( risEuroMPFrom(X,Y)
          & cowlThing(Y) ) ),
    inference(modus_ponens,[status(thm)],[24,23]) ).

tff(26,plain,
    ! [X: $i] :
      ( ( ~ cEuroMP(X)
        | ( risEuroMPFrom(X,tptp_fun_Y_0(X))
          & cowlThing(tptp_fun_Y_0(X)) ) )
      & ( cEuroMP(X)
        | ! [Y: $i] :
            ~ ( risEuroMPFrom(X,Y)
              & cowlThing(Y) ) ) ),
    inference(skolemize,[status(sab)],[25]) ).

tff(27,plain,
    ! [X: $i] :
      ~ ( ~ ( ~ cEuroMP(X)
            | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                | ~ cowlThing(tptp_fun_Y_0(X)) ) )
        | ~ ( cEuroMP(X)
            | ! [Y: $i] :
                ( ~ cowlThing(Y)
                | ~ risEuroMPFrom(X,Y) ) ) ),
    inference(modus_ponens,[status(thm)],[26,22]) ).

tff(28,plain,
    ! [X: $i] :
      ~ ( ~ ( ~ cEuroMP(X)
            | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                | ~ cowlThing(tptp_fun_Y_0(X)) ) )
        | ~ ( cEuroMP(X)
            | ! [Y: $i] :
                ( ~ cowlThing(Y)
                | ~ risEuroMPFrom(X,Y) ) ) ),
    inference(modus_ponens,[status(thm)],[27,20]) ).

tff(29,plain,
    ( ~ ! [X: $i] :
          ~ ( ~ ( ~ cEuroMP(X)
                | ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
                    | ~ cowlThing(tptp_fun_Y_0(X)) ) )
            | ~ ( cEuroMP(X)
                | ! [Y: $i] :
                    ( ~ cowlThing(Y)
                    | ~ risEuroMPFrom(X,Y) ) ) )
    | ~ ( ~ ( ~ cEuroMP(iKinnock)
            | ~ ( ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock))
                | ~ cowlThing(tptp_fun_Y_0(iKinnock)) ) )
        | ~ ( cEuroMP(iKinnock)
            | ! [Y: $i] :
                ( ~ cowlThing(Y)
                | ~ risEuroMPFrom(iKinnock,Y) ) ) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(30,plain,
    ~ ( ~ ( ~ cEuroMP(iKinnock)
          | ~ ( ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock))
              | ~ cowlThing(tptp_fun_Y_0(iKinnock)) ) )
      | ~ ( cEuroMP(iKinnock)
          | ! [Y: $i] :
              ( ~ cowlThing(Y)
              | ~ risEuroMPFrom(iKinnock,Y) ) ) ),
    inference(unit_resolution,[status(thm)],[29,28]) ).

tff(31,plain,
    ( ~ ( ~ cEuroMP(iKinnock)
        | ~ ( ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock))
            | ~ cowlThing(tptp_fun_Y_0(iKinnock)) ) )
    | ~ ( cEuroMP(iKinnock)
        | ! [Y: $i] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(iKinnock,Y) ) )
    | cEuroMP(iKinnock)
    | ! [Y: $i] :
        ( ~ cowlThing(Y)
        | ~ risEuroMPFrom(iKinnock,Y) ) ),
    inference(tautology,[status(thm)],]) ).

tff(32,plain,
    ( cEuroMP(iKinnock)
    | ! [Y: $i] :
        ( ~ cowlThing(Y)
        | ~ risEuroMPFrom(iKinnock,Y) ) ),
    inference(unit_resolution,[status(thm)],[31,30]) ).

tff(33,plain,
    ( ~ cEuroMP(iKinnock)
  <=> ~ cEuroMP(iKinnock) ),
    inference(rewrite,[status(thm)],]) ).

tff(34,axiom,
    ~ cEuroMP(iKinnock),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

tff(35,plain,
    ~ cEuroMP(iKinnock),
    inference(modus_ponens,[status(thm)],[34,33]) ).

tff(36,plain,
    ( ~ ( cEuroMP(iKinnock)
        | ! [Y: $i] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(iKinnock,Y) ) )
    | cEuroMP(iKinnock)
    | ! [Y: $i] :
        ( ~ cowlThing(Y)
        | ~ risEuroMPFrom(iKinnock,Y) ) ),
    inference(tautology,[status(thm)],]) ).

tff(37,plain,
    ( ~ ( cEuroMP(iKinnock)
        | ! [Y: $i] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(iKinnock,Y) ) )
    | ! [Y: $i] :
        ( ~ cowlThing(Y)
        | ~ risEuroMPFrom(iKinnock,Y) ) ),
    inference(unit_resolution,[status(thm)],[36,35]) ).

tff(38,plain,
    ! [Y: $i] :
      ( ~ cowlThing(Y)
      | ~ risEuroMPFrom(iKinnock,Y) ),
    inference(unit_resolution,[status(thm)],[37,32]) ).

tff(39,plain,
    ( ( ~ ! [Y: $i] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(iKinnock,Y) )
      | ~ cowlThing(iUK)
      | ~ risEuroMPFrom(iKinnock,iUK) )
  <=> ( ~ ! [Y: $i] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(iKinnock,Y) )
      | ~ cowlThing(iUK)
      | ~ risEuroMPFrom(iKinnock,iUK) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(40,plain,
    ( ~ ! [Y: $i] :
          ( ~ cowlThing(Y)
          | ~ risEuroMPFrom(iKinnock,Y) )
    | ~ cowlThing(iUK)
    | ~ risEuroMPFrom(iKinnock,iUK) ),
    inference(quant_inst,[status(thm)],]) ).

tff(41,plain,
    ( ~ ! [Y: $i] :
          ( ~ cowlThing(Y)
          | ~ risEuroMPFrom(iKinnock,Y) )
    | ~ cowlThing(iUK)
    | ~ risEuroMPFrom(iKinnock,iUK) ),
    inference(modus_ponens,[status(thm)],[40,39]) ).

tff(42,plain,
    ~ cowlThing(iUK),
    inference(unit_resolution,[status(thm)],[41,38,15]) ).

tff(43,plain,
    ( cowlNothing(iUK)
    | ~ cowlThing(iUK)
    | cowlThing(iUK) ),
    inference(tautology,[status(thm)],]) ).

tff(44,plain,
    ( cowlNothing(iUK)
    | ~ cowlThing(iUK) ),
    inference(unit_resolution,[status(thm)],[43,42]) ).

tff(45,plain,
    ^ [X: $i] :
      refl(
        ( ~ ( cowlNothing(X)
            | ~ cowlThing(X) )
      <=> ~ ( cowlNothing(X)
            | ~ cowlThing(X) ) )),
    inference(bind,[status(th)],]) ).

tff(46,plain,
    ( ! [X: $i] :
        ~ ( cowlNothing(X)
          | ~ cowlThing(X) )
  <=> ! [X: $i] :
        ~ ( cowlNothing(X)
          | ~ cowlThing(X) ) ),
    inference(quant_intro,[status(thm)],[45]) ).

tff(47,plain,
    ^ [X: $i] :
      rewrite(
        ( ( cowlThing(X)
          & ~ cowlNothing(X) )
      <=> ~ ( cowlNothing(X)
            | ~ cowlThing(X) ) )),
    inference(bind,[status(th)],]) ).

tff(48,plain,
    ( ! [X: $i] :
        ( cowlThing(X)
        & ~ cowlNothing(X) )
  <=> ! [X: $i] :
        ~ ( cowlNothing(X)
          | ~ cowlThing(X) ) ),
    inference(quant_intro,[status(thm)],[47]) ).

tff(49,plain,
    ( ! [X: $i] :
        ( cowlThing(X)
        & ~ cowlNothing(X) )
  <=> ! [X: $i] :
        ( cowlThing(X)
        & ~ cowlNothing(X) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(50,axiom,
    ! [X: $i] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

tff(51,plain,
    ! [X: $i] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    inference(modus_ponens,[status(thm)],[50,49]) ).

tff(52,plain,
    ! [X: $i] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    inference(skolemize,[status(sab)],[51]) ).

tff(53,plain,
    ! [X: $i] :
      ~ ( cowlNothing(X)
        | ~ cowlThing(X) ),
    inference(modus_ponens,[status(thm)],[52,48]) ).

tff(54,plain,
    ! [X: $i] :
      ~ ( cowlNothing(X)
        | ~ cowlThing(X) ),
    inference(modus_ponens,[status(thm)],[53,46]) ).

tff(55,plain,
    ( ~ ! [X: $i] :
          ~ ( cowlNothing(X)
            | ~ cowlThing(X) )
    | ~ ( cowlNothing(iUK)
        | ~ cowlThing(iUK) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(56,plain,
    $false,
    inference(unit_resolution,[status(thm)],[55,54,44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS063+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Sep  1 09:27:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 0.21/0.40  % SZS status Unsatisfiable
% 0.21/0.40  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------