TSTP Solution File: KRS119+1 by Leo-III-SAT---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 : Tue May  7 10:38:20 EDT 2024

% Result   : Unsatisfiable 53.03s 8.61s
% Output   : Refutation 53.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   84 (  15 unt;  12 typ;   0 def)
%            Number of atoms       :  224 (  15 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  527 (  64   ~;  51   |;  34   &; 341   @)
%                                         (   6 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   2 con; 0-2 aty)
%            Number of variables   :  119 (   0   ^  99   !;  20   ?; 119   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cUnsatisfiable_type,type,
    cUnsatisfiable: $i > $o ).

thf(ca_Ax2_type,type,
    ca_Ax2: $i > $o ).

thf(ca_Vx3_type,type,
    ca_Vx3: $i > $o ).

thf(cp1_type,type,
    cp1: $i > $o ).

thf(cp1xcomp_type,type,
    cp1xcomp: $i > $o ).

thf(ra_Px1_type,type,
    ra_Px1: $i > $i > $o ).

thf(rinvR_type,type,
    rinvR: $i > $i > $o ).

thf(rr_type,type,
    rr: $i > $i > $o ).

thf(i2003_11_14_17_21_44786_type,type,
    i2003_11_14_17_21_44786: $i ).

thf(sk1_type,type,
    sk1: $i > $i ).

thf(sk3_type,type,
    sk3: $i > $i ).

thf(sk5_type,type,
    sk5: $i > $i ).

thf(31,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_44786,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

thf(164,plain,
    cUnsatisfiable @ i2003_11_14_17_21_44786,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( cUnsatisfiable @ A )
    <=> ( ? [B: $i] :
            ( ( rr @ A @ B )
            & ( ca_Vx3 @ B ) )
        & ( cp1 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

thf(118,plain,
    ! [A: $i] :
      ( ( ( cUnsatisfiable @ A )
       => ( ? [B: $i] :
              ( ( rr @ A @ B )
              & ( ca_Vx3 @ B ) )
          & ( cp1 @ A ) ) )
      & ( ( ? [B: $i] :
              ( ( rr @ A @ B )
              & ( ca_Vx3 @ B ) )
          & ( cp1 @ A ) )
       => ( cUnsatisfiable @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(119,plain,
    ( ! [A: $i] :
        ( ( cUnsatisfiable @ A )
       => ( ? [B: $i] :
              ( ( rr @ A @ B )
              & ( ca_Vx3 @ B ) )
          & ( cp1 @ A ) ) )
    & ! [A: $i] :
        ( ( ? [B: $i] :
              ( ( rr @ A @ B )
              & ( ca_Vx3 @ B ) )
          & ( cp1 @ A ) )
       => ( cUnsatisfiable @ A ) ) ),
    inference(miniscope,[status(thm)],[118]) ).

thf(122,plain,
    ! [A: $i] :
      ( ~ ( cUnsatisfiable @ A )
      | ( ca_Vx3 @ ( sk1 @ A ) ) ),
    inference(cnf,[status(esa)],[119]) ).

thf(194,plain,
    ! [A: $i] :
      ( ( ca_Vx3 @ ( sk1 @ A ) )
      | ( ( cUnsatisfiable @ i2003_11_14_17_21_44786 )
       != ( cUnsatisfiable @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[164,122]) ).

thf(195,plain,
    ca_Vx3 @ ( sk1 @ i2003_11_14_17_21_44786 ),
    inference(pattern_uni,[status(thm)],[194:[bind(A,$thf( i2003_11_14_17_21_44786 ))]]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( ca_Vx3 @ A )
    <=> ? [B: $i] :
          ( ( rr @ A @ B )
          & ( ca_Ax2 @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

thf(143,plain,
    ! [A: $i] :
      ( ( ( ca_Vx3 @ A )
       => ? [B: $i] :
            ( ( rr @ A @ B )
            & ( ca_Ax2 @ B ) ) )
      & ( ? [B: $i] :
            ( ( rr @ A @ B )
            & ( ca_Ax2 @ B ) )
       => ( ca_Vx3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(144,plain,
    ( ! [A: $i] :
        ( ( ca_Vx3 @ A )
       => ? [B: $i] :
            ( ( rr @ A @ B )
            & ( ca_Ax2 @ B ) ) )
    & ! [A: $i] :
        ( ? [B: $i] :
            ( ( rr @ A @ B )
            & ( ca_Ax2 @ B ) )
       => ( ca_Vx3 @ A ) ) ),
    inference(miniscope,[status(thm)],[143]) ).

thf(146,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( rr @ A @ ( sk5 @ A ) ) ),
    inference(cnf,[status(esa)],[144]) ).

thf(397,plain,
    ! [A: $i] :
      ( ( rr @ A @ ( sk5 @ A ) )
      | ( ( ca_Vx3 @ ( sk1 @ i2003_11_14_17_21_44786 ) )
       != ( ca_Vx3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[195,146]) ).

thf(398,plain,
    rr @ ( sk1 @ i2003_11_14_17_21_44786 ) @ ( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ),
    inference(pattern_uni,[status(thm)],[397:[bind(A,$thf( sk1 @ i2003_11_14_17_21_44786 ))]]) ).

thf(121,plain,
    ! [A: $i] :
      ( ~ ( cUnsatisfiable @ A )
      | ( rr @ A @ ( sk1 @ A ) ) ),
    inference(cnf,[status(esa)],[119]) ).

thf(182,plain,
    ! [A: $i] :
      ( ( rr @ A @ ( sk1 @ A ) )
      | ( ( cUnsatisfiable @ i2003_11_14_17_21_44786 )
       != ( cUnsatisfiable @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[164,121]) ).

thf(183,plain,
    rr @ i2003_11_14_17_21_44786 @ ( sk1 @ i2003_11_14_17_21_44786 ),
    inference(pattern_uni,[status(thm)],[182:[bind(A,$thf( i2003_11_14_17_21_44786 ))]]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( rr @ A @ B )
        & ( rr @ B @ C ) )
     => ( rr @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

thf(162,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( rr @ A @ B )
        & ( rr @ B @ C ) )
     => ( rr @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(163,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( rr @ A @ B )
      | ~ ( rr @ B @ C )
      | ( rr @ A @ C ) ),
    inference(cnf,[status(esa)],[162]) ).

thf(1623,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( rr @ B @ C )
      | ( rr @ A @ C )
      | ( ( rr @ i2003_11_14_17_21_44786 @ ( sk1 @ i2003_11_14_17_21_44786 ) )
       != ( rr @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[183,163]) ).

thf(1624,plain,
    ! [A: $i] :
      ( ~ ( rr @ ( sk1 @ i2003_11_14_17_21_44786 ) @ A )
      | ( rr @ i2003_11_14_17_21_44786 @ A ) ),
    inference(pattern_uni,[status(thm)],[1623:[bind(A,$thf( i2003_11_14_17_21_44786 )),bind(B,$thf( sk1 @ i2003_11_14_17_21_44786 )),bind(C,$thf( C ))]]) ).

thf(1643,plain,
    ! [A: $i] :
      ( ~ ( rr @ ( sk1 @ i2003_11_14_17_21_44786 ) @ A )
      | ( rr @ i2003_11_14_17_21_44786 @ A ) ),
    inference(simp,[status(thm)],[1624]) ).

thf(5496,plain,
    ! [A: $i] :
      ( ( rr @ i2003_11_14_17_21_44786 @ A )
      | ( ( rr @ ( sk1 @ i2003_11_14_17_21_44786 ) @ ( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ) )
       != ( rr @ ( sk1 @ i2003_11_14_17_21_44786 ) @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[398,1643]) ).

thf(5497,plain,
    rr @ i2003_11_14_17_21_44786 @ ( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ),
    inference(pattern_uni,[status(thm)],[5496:[bind(A,$thf( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ))]]) ).

thf(147,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( ca_Ax2 @ ( sk5 @ A ) ) ),
    inference(cnf,[status(esa)],[144]) ).

thf(206,plain,
    ! [A: $i] :
      ( ( ca_Ax2 @ ( sk5 @ A ) )
      | ( ( ca_Vx3 @ ( sk1 @ i2003_11_14_17_21_44786 ) )
       != ( ca_Vx3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[195,147]) ).

thf(207,plain,
    ca_Ax2 @ ( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ),
    inference(pattern_uni,[status(thm)],[206:[bind(A,$thf( sk1 @ i2003_11_14_17_21_44786 ))]]) ).

thf(145,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rr @ A @ B )
      | ~ ( ca_Ax2 @ B )
      | ( ca_Vx3 @ A ) ),
    inference(cnf,[status(esa)],[144]) ).

thf(148,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rr @ A @ B )
      | ~ ( ca_Ax2 @ B )
      | ( ca_Vx3 @ A ) ),
    inference(simp,[status(thm)],[145]) ).

thf(440,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rr @ A @ B )
      | ( ca_Vx3 @ A )
      | ( ( ca_Ax2 @ ( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ) )
       != ( ca_Ax2 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[207,148]) ).

thf(441,plain,
    ! [A: $i] :
      ( ~ ( rr @ A @ ( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ) )
      | ( ca_Vx3 @ A ) ),
    inference(pattern_uni,[status(thm)],[440:[bind(A,$thf( A )),bind(B,$thf( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ))]]) ).

thf(5601,plain,
    ! [A: $i] :
      ( ( ca_Vx3 @ A )
      | ( ( rr @ i2003_11_14_17_21_44786 @ ( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ) )
       != ( rr @ A @ ( sk5 @ ( sk1 @ i2003_11_14_17_21_44786 ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[5497,441]) ).

thf(5602,plain,
    ca_Vx3 @ i2003_11_14_17_21_44786,
    inference(pattern_uni,[status(thm)],[5601:[bind(A,$thf( i2003_11_14_17_21_44786 ))]]) ).

thf(29,axiom,
    ! [A: $i,B: $i] :
      ( ( rinvR @ A @ B )
    <=> ( rr @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

thf(157,plain,
    ! [A: $i,B: $i] :
      ( ( ( rinvR @ A @ B )
       => ( rr @ B @ A ) )
      & ( ( rr @ B @ A )
       => ( rinvR @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(158,plain,
    ( ! [A: $i,B: $i] :
        ( ( rinvR @ A @ B )
       => ( rr @ B @ A ) )
    & ! [A: $i,B: $i] :
        ( ( rr @ B @ A )
       => ( rinvR @ A @ B ) ) ),
    inference(miniscope,[status(thm)],[157]) ).

thf(159,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rr @ B @ A )
      | ( rinvR @ A @ B ) ),
    inference(cnf,[status(esa)],[158]) ).

thf(161,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rr @ B @ A )
      | ( rinvR @ A @ B ) ),
    inference(simp,[status(thm)],[159]) ).

thf(1439,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( rinvR @ B @ C )
      | ( ( rr @ A @ ( sk5 @ A ) )
       != ( rr @ C @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[146,161]) ).

thf(1440,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( rinvR @ ( sk5 @ A ) @ A ) ),
    inference(pattern_uni,[status(thm)],[1439:[bind(A,$thf( D )),bind(B,$thf( sk5 @ D )),bind(C,$thf( D ))]]) ).

thf(1445,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( rinvR @ ( sk5 @ A ) @ A ) ),
    inference(simp,[status(thm)],[1440]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( ca_Ax2 @ A )
    <=> ( ( cp1 @ A )
        & ! [B: $i] :
            ( ( rinvR @ A @ B )
           => ( cp1xcomp @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

thf(135,plain,
    ! [A: $i] :
      ( ( ( ca_Ax2 @ A )
       => ( ( cp1 @ A )
          & ! [B: $i] :
              ( ( rinvR @ A @ B )
             => ( cp1xcomp @ B ) ) ) )
      & ( ( ( cp1 @ A )
          & ! [B: $i] :
              ( ( rinvR @ A @ B )
             => ( cp1xcomp @ B ) ) )
       => ( ca_Ax2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(136,plain,
    ( ! [A: $i] :
        ( ( ca_Ax2 @ A )
       => ( ( cp1 @ A )
          & ! [B: $i] :
              ( ( rinvR @ A @ B )
             => ( cp1xcomp @ B ) ) ) )
    & ! [A: $i] :
        ( ( ( cp1 @ A )
          & ! [B: $i] :
              ( ( rinvR @ A @ B )
             => ( cp1xcomp @ B ) ) )
       => ( ca_Ax2 @ A ) ) ),
    inference(miniscope,[status(thm)],[135]) ).

thf(140,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ca_Ax2 @ A )
      | ~ ( rinvR @ A @ B )
      | ( cp1xcomp @ B ) ),
    inference(cnf,[status(esa)],[136]) ).

thf(379,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ~ ( rinvR @ B @ C )
      | ( cp1xcomp @ C )
      | ( ( ca_Ax2 @ ( sk5 @ A ) )
       != ( ca_Ax2 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[147,140]) ).

thf(380,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ca_Vx3 @ B )
      | ~ ( rinvR @ ( sk5 @ B ) @ A )
      | ( cp1xcomp @ A ) ),
    inference(pattern_uni,[status(thm)],[379:[bind(A,$thf( D )),bind(B,$thf( sk5 @ D ))]]) ).

thf(389,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ca_Vx3 @ B )
      | ~ ( rinvR @ ( sk5 @ B ) @ A )
      | ( cp1xcomp @ A ) ),
    inference(simp,[status(thm)],[380]) ).

thf(3698,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ~ ( ca_Vx3 @ C )
      | ( cp1xcomp @ B )
      | ( ( rinvR @ ( sk5 @ A ) @ A )
       != ( rinvR @ ( sk5 @ C ) @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1445,389]) ).

thf(3699,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ~ ( ca_Vx3 @ A )
      | ( cp1xcomp @ A ) ),
    inference(pattern_uni,[status(thm)],[3698:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).

thf(3721,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( cp1xcomp @ A ) ),
    inference(simp,[status(thm)],[3699]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( cp1xcomp @ A )
    <=> ? [B: $i] : ( ra_Px1 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

thf(130,plain,
    ! [A: $i] :
      ( ( ( cp1xcomp @ A )
       => ? [B: $i] : ( ra_Px1 @ A @ B ) )
      & ( ? [B: $i] : ( ra_Px1 @ A @ B )
       => ( cp1xcomp @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(131,plain,
    ( ! [A: $i] :
        ( ( cp1xcomp @ A )
       => ? [B: $i] : ( ra_Px1 @ A @ B ) )
    & ! [A: $i] :
        ( ? [B: $i] : ( ra_Px1 @ A @ B )
       => ( cp1xcomp @ A ) ) ),
    inference(miniscope,[status(thm)],[130]) ).

thf(133,plain,
    ! [A: $i] :
      ( ~ ( cp1xcomp @ A )
      | ( ra_Px1 @ A @ ( sk3 @ A ) ) ),
    inference(cnf,[status(esa)],[131]) ).

thf(123,plain,
    ! [A: $i] :
      ( ~ ( cUnsatisfiable @ A )
      | ( cp1 @ A ) ),
    inference(cnf,[status(esa)],[119]) ).

thf(167,plain,
    ! [A: $i] :
      ( ( cp1 @ A )
      | ( ( cUnsatisfiable @ i2003_11_14_17_21_44786 )
       != ( cUnsatisfiable @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[164,123]) ).

thf(168,plain,
    cp1 @ i2003_11_14_17_21_44786,
    inference(pattern_uni,[status(thm)],[167:[bind(A,$thf( i2003_11_14_17_21_44786 ))]]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( cp1 @ A )
    <=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

thf(125,plain,
    ! [A: $i] :
      ( ( ( cp1 @ A )
       => ~ ? [B: $i] : ( ra_Px1 @ A @ B ) )
      & ( ~ ? [B: $i] : ( ra_Px1 @ A @ B )
       => ( cp1 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(126,plain,
    ( ! [A: $i] :
        ( ( cp1 @ A )
       => ~ ? [B: $i] : ( ra_Px1 @ A @ B ) )
    & ! [A: $i] :
        ( ~ ? [B: $i] : ( ra_Px1 @ A @ B )
       => ( cp1 @ A ) ) ),
    inference(miniscope,[status(thm)],[125]) ).

thf(128,plain,
    ! [B: $i,A: $i] :
      ( ~ ( cp1 @ A )
      | ~ ( ra_Px1 @ A @ B ) ),
    inference(cnf,[status(esa)],[126]) ).

thf(176,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ra_Px1 @ A @ B )
      | ( ( cp1 @ i2003_11_14_17_21_44786 )
       != ( cp1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[168,128]) ).

thf(177,plain,
    ! [A: $i] :
      ~ ( ra_Px1 @ i2003_11_14_17_21_44786 @ A ),
    inference(pattern_uni,[status(thm)],[176:[bind(A,$thf( i2003_11_14_17_21_44786 ))]]) ).

thf(178,plain,
    ! [A: $i] :
      ~ ( ra_Px1 @ i2003_11_14_17_21_44786 @ A ),
    inference(simp,[status(thm)],[177]) ).

thf(275,plain,
    ! [B: $i,A: $i] :
      ( ~ ( cp1xcomp @ A )
      | ( ( ra_Px1 @ A @ ( sk3 @ A ) )
       != ( ra_Px1 @ i2003_11_14_17_21_44786 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[133,178]) ).

thf(276,plain,
    ~ ( cp1xcomp @ i2003_11_14_17_21_44786 ),
    inference(pattern_uni,[status(thm)],[275:[bind(A,$thf( i2003_11_14_17_21_44786 )),bind(B,$thf( sk3 @ i2003_11_14_17_21_44786 ))]]) ).

thf(3839,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( ( cp1xcomp @ A )
       != ( cp1xcomp @ i2003_11_14_17_21_44786 ) ) ),
    inference(paramod_ordered,[status(thm)],[3721,276]) ).

thf(3840,plain,
    ~ ( ca_Vx3 @ i2003_11_14_17_21_44786 ),
    inference(pattern_uni,[status(thm)],[3839:[bind(A,$thf( i2003_11_14_17_21_44786 ))]]) ).

thf(5636,plain,
    $false,
    inference(rewrite,[status(thm)],[5602,3840]) ).

thf(5637,plain,
    $false,
    inference(simp,[status(thm)],[5636]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n024.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon May  6 22:53:39 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 1.04/0.92  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.23/1.07  % [INFO] 	 Parsing done (150ms). 
% 1.23/1.08  % [INFO] 	 Running in sequential loop mode. 
% 1.78/1.31  % [INFO] 	 nitpick registered as external prover. 
% 1.78/1.31  % [INFO] 	 Scanning for conjecture ... 
% 1.95/1.34  % [INFO] 	 31 axioms and no conjecture found. 
% 2.11/1.41  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.11/1.42  % [INFO] 	 Type checking passed. 
% 2.11/1.42  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 53.03/8.59  % [INFO] 	 Killing All external provers ... 
% 53.03/8.61  % Time passed: 8076ms (effective reasoning time: 7511ms)
% 53.03/8.61  % Axioms used in derivation (8): axiom_10, axiom_2, axiom_6, axiom_3, axiom_5, axiom_11, axiom_9, axiom_4
% 53.03/8.61  % No. of inferences in proof: 72
% 53.03/8.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8076 ms resp. 7511 ms w/o parsing
% 53.23/8.86  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 53.33/8.87  % [INFO] 	 Killing All external provers ... 
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