TSTP Solution File: KRS122+1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : KRS122+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n028.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 23:19:17 EDT 2024

% Result   : Unsatisfiable 7.79s 2.65s
% Output   : Refutation 7.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   77 (  15 unt;  12 typ;   0 def)
%            Number of atoms       :  192 (  22 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  453 (  58   ~;  37   |;  29   &; 292   @)
%                                         (   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     :   15 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :  106 (   0   ^  86   !;  20   ?; 106   :)

% 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(rf_type,type,
    rf: $i > $i > $o ).

thf(rinvF_type,type,
    rinvF: $i > $i > $o ).

thf(i2003_11_14_17_21_55116_type,type,
    i2003_11_14_17_21_55116: $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_55116,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

thf(163,plain,
    cUnsatisfiable @ i2003_11_14_17_21_55116,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( cUnsatisfiable @ A )
    <=> ? [B: $i] :
          ( ( rf @ A @ B )
          & ( ca_Ax2 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

thf(118,plain,
    ! [A: $i] :
      ( ( ( cUnsatisfiable @ A )
       => ? [B: $i] :
            ( ( rf @ A @ B )
            & ( ca_Ax2 @ B ) ) )
      & ( ? [B: $i] :
            ( ( rf @ A @ B )
            & ( ca_Ax2 @ B ) )
       => ( cUnsatisfiable @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(119,plain,
    ( ! [A: $i] :
        ( ( cUnsatisfiable @ A )
       => ? [B: $i] :
            ( ( rf @ A @ B )
            & ( ca_Ax2 @ B ) ) )
    & ! [A: $i] :
        ( ? [B: $i] :
            ( ( rf @ A @ B )
            & ( ca_Ax2 @ B ) )
       => ( cUnsatisfiable @ A ) ) ),
    inference(miniscope,[status(thm)],[118]) ).

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

thf(176,plain,
    ! [A: $i] :
      ( ( rf @ A @ ( sk1 @ A ) )
      | ( ( cUnsatisfiable @ i2003_11_14_17_21_55116 )
       != ( cUnsatisfiable @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[163,121]) ).

thf(177,plain,
    rf @ i2003_11_14_17_21_55116 @ ( sk1 @ i2003_11_14_17_21_55116 ),
    inference(pattern_uni,[status(thm)],[176:[bind(A,$thf( i2003_11_14_17_21_55116 ))]]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( rinvF @ A @ B )
    <=> ( rf @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

thf(151,plain,
    ! [A: $i,B: $i] :
      ( ( ( rinvF @ A @ B )
       => ( rf @ B @ A ) )
      & ( ( rf @ B @ A )
       => ( rinvF @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(152,plain,
    ( ! [A: $i,B: $i] :
        ( ( rinvF @ A @ B )
       => ( rf @ B @ A ) )
    & ! [A: $i,B: $i] :
        ( ( rf @ B @ A )
       => ( rinvF @ A @ B ) ) ),
    inference(miniscope,[status(thm)],[151]) ).

thf(153,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rf @ B @ A )
      | ( rinvF @ A @ B ) ),
    inference(cnf,[status(esa)],[152]) ).

thf(155,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rf @ B @ A )
      | ( rinvF @ A @ B ) ),
    inference(simp,[status(thm)],[153]) ).

thf(344,plain,
    ! [B: $i,A: $i] :
      ( ( rinvF @ A @ B )
      | ( ( rf @ i2003_11_14_17_21_55116 @ ( sk1 @ i2003_11_14_17_21_55116 ) )
       != ( rf @ B @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[177,155]) ).

thf(345,plain,
    rinvF @ ( sk1 @ i2003_11_14_17_21_55116 ) @ i2003_11_14_17_21_55116,
    inference(pattern_uni,[status(thm)],[344:[bind(A,$thf( sk1 @ i2003_11_14_17_21_55116 )),bind(B,$thf( i2003_11_14_17_21_55116 ))]]) ).

thf(122,plain,
    ! [A: $i] :
      ( ~ ( cUnsatisfiable @ A )
      | ( ca_Ax2 @ ( sk1 @ A ) ) ),
    inference(cnf,[status(esa)],[119]) ).

thf(173,plain,
    ! [A: $i] :
      ( ( ca_Ax2 @ ( sk1 @ A ) )
      | ( ( cUnsatisfiable @ i2003_11_14_17_21_55116 )
       != ( cUnsatisfiable @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[163,122]) ).

thf(174,plain,
    ca_Ax2 @ ( sk1 @ i2003_11_14_17_21_55116 ),
    inference(pattern_uni,[status(thm)],[173:[bind(A,$thf( i2003_11_14_17_21_55116 ))]]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( ca_Ax2 @ A )
    <=> ( ( cp1 @ A )
        & ! [B: $i] :
            ( ( rinvF @ A @ B )
           => ( ca_Vx3 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

thf(134,plain,
    ! [A: $i] :
      ( ( ( ca_Ax2 @ A )
       => ( ( cp1 @ A )
          & ! [B: $i] :
              ( ( rinvF @ A @ B )
             => ( ca_Vx3 @ B ) ) ) )
      & ( ( ( cp1 @ A )
          & ! [B: $i] :
              ( ( rinvF @ A @ B )
             => ( ca_Vx3 @ B ) ) )
       => ( ca_Ax2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(135,plain,
    ( ! [A: $i] :
        ( ( ca_Ax2 @ A )
       => ( ( cp1 @ A )
          & ! [B: $i] :
              ( ( rinvF @ A @ B )
             => ( ca_Vx3 @ B ) ) ) )
    & ! [A: $i] :
        ( ( ( cp1 @ A )
          & ! [B: $i] :
              ( ( rinvF @ A @ B )
             => ( ca_Vx3 @ B ) ) )
       => ( ca_Ax2 @ A ) ) ),
    inference(miniscope,[status(thm)],[134]) ).

thf(139,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ca_Ax2 @ A )
      | ~ ( rinvF @ A @ B )
      | ( ca_Vx3 @ B ) ),
    inference(cnf,[status(esa)],[135]) ).

thf(227,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rinvF @ A @ B )
      | ( ca_Vx3 @ B )
      | ( ( ca_Ax2 @ ( sk1 @ i2003_11_14_17_21_55116 ) )
       != ( ca_Ax2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[174,139]) ).

thf(228,plain,
    ! [A: $i] :
      ( ~ ( rinvF @ ( sk1 @ i2003_11_14_17_21_55116 ) @ A )
      | ( ca_Vx3 @ A ) ),
    inference(pattern_uni,[status(thm)],[227:[bind(A,$thf( sk1 @ i2003_11_14_17_21_55116 )),bind(B,$thf( B ))]]) ).

thf(231,plain,
    ! [A: $i] :
      ( ~ ( rinvF @ ( sk1 @ i2003_11_14_17_21_55116 ) @ A )
      | ( ca_Vx3 @ A ) ),
    inference(simp,[status(thm)],[228]) ).

thf(363,plain,
    ! [A: $i] :
      ( ( ca_Vx3 @ A )
      | ( ( rinvF @ ( sk1 @ i2003_11_14_17_21_55116 ) @ i2003_11_14_17_21_55116 )
       != ( rinvF @ ( sk1 @ i2003_11_14_17_21_55116 ) @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[345,231]) ).

thf(364,plain,
    ca_Vx3 @ i2003_11_14_17_21_55116,
    inference(pattern_uni,[status(thm)],[363:[bind(A,$thf( i2003_11_14_17_21_55116 ))]]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( ca_Vx3 @ A )
    <=> ? [B: $i] :
          ( ( rf @ A @ B )
          & ( cp1xcomp @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

thf(142,plain,
    ! [A: $i] :
      ( ( ( ca_Vx3 @ A )
       => ? [B: $i] :
            ( ( rf @ A @ B )
            & ( cp1xcomp @ B ) ) )
      & ( ? [B: $i] :
            ( ( rf @ A @ B )
            & ( cp1xcomp @ B ) )
       => ( ca_Vx3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(143,plain,
    ( ! [A: $i] :
        ( ( ca_Vx3 @ A )
       => ? [B: $i] :
            ( ( rf @ A @ B )
            & ( cp1xcomp @ B ) ) )
    & ! [A: $i] :
        ( ? [B: $i] :
            ( ( rf @ A @ B )
            & ( cp1xcomp @ B ) )
       => ( ca_Vx3 @ A ) ) ),
    inference(miniscope,[status(thm)],[142]) ).

thf(145,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( rf @ A @ ( sk5 @ A ) ) ),
    inference(cnf,[status(esa)],[143]) ).

thf(378,plain,
    ! [A: $i] :
      ( ( rf @ A @ ( sk5 @ A ) )
      | ( ( ca_Vx3 @ i2003_11_14_17_21_55116 )
       != ( ca_Vx3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[364,145]) ).

thf(379,plain,
    rf @ i2003_11_14_17_21_55116 @ ( sk5 @ i2003_11_14_17_21_55116 ),
    inference(pattern_uni,[status(thm)],[378:[bind(A,$thf( i2003_11_14_17_21_55116 ))]]) ).

thf(27,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( rf @ A @ B )
        & ( rf @ A @ C ) )
     => ( B = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

thf(148,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( rf @ A @ B )
        & ( rf @ A @ C ) )
     => ( B = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(149,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( rf @ A @ B )
      | ~ ( rf @ A @ C )
      | ( B = C ) ),
    inference(cnf,[status(esa)],[148]) ).

thf(150,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B = C )
      | ~ ( rf @ A @ B )
      | ~ ( rf @ A @ C ) ),
    inference(lifteq,[status(thm)],[149]) ).

thf(146,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( cp1xcomp @ ( sk5 @ A ) ) ),
    inference(cnf,[status(esa)],[143]) ).

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

thf(129,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(130,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)],[129]) ).

thf(132,plain,
    ! [A: $i] :
      ( ~ ( cp1xcomp @ A )
      | ( ra_Px1 @ A @ ( sk3 @ A ) ) ),
    inference(cnf,[status(esa)],[130]) ).

thf(138,plain,
    ! [A: $i] :
      ( ~ ( ca_Ax2 @ A )
      | ( cp1 @ A ) ),
    inference(cnf,[status(esa)],[135]) ).

thf(178,plain,
    ! [A: $i] :
      ( ( cp1 @ A )
      | ( ( ca_Ax2 @ ( sk1 @ i2003_11_14_17_21_55116 ) )
       != ( ca_Ax2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[174,138]) ).

thf(179,plain,
    cp1 @ ( sk1 @ i2003_11_14_17_21_55116 ),
    inference(pattern_uni,[status(thm)],[178:[bind(A,$thf( sk1 @ i2003_11_14_17_21_55116 ))]]) ).

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

thf(124,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(125,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)],[124]) ).

thf(127,plain,
    ! [B: $i,A: $i] :
      ( ~ ( cp1 @ A )
      | ~ ( ra_Px1 @ A @ B ) ),
    inference(cnf,[status(esa)],[125]) ).

thf(182,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ra_Px1 @ A @ B )
      | ( ( cp1 @ ( sk1 @ i2003_11_14_17_21_55116 ) )
       != ( cp1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[179,127]) ).

thf(183,plain,
    ! [A: $i] :
      ~ ( ra_Px1 @ ( sk1 @ i2003_11_14_17_21_55116 ) @ A ),
    inference(pattern_uni,[status(thm)],[182:[bind(A,$thf( sk1 @ i2003_11_14_17_21_55116 )),bind(B,$thf( B ))]]) ).

thf(184,plain,
    ! [A: $i] :
      ~ ( ra_Px1 @ ( sk1 @ i2003_11_14_17_21_55116 ) @ A ),
    inference(simp,[status(thm)],[183]) ).

thf(247,plain,
    ! [B: $i,A: $i] :
      ( ~ ( cp1xcomp @ A )
      | ( ( ra_Px1 @ A @ ( sk3 @ A ) )
       != ( ra_Px1 @ ( sk1 @ i2003_11_14_17_21_55116 ) @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[132,184]) ).

thf(248,plain,
    ~ ( cp1xcomp @ ( sk1 @ i2003_11_14_17_21_55116 ) ),
    inference(pattern_uni,[status(thm)],[247:[bind(A,$thf( sk1 @ i2003_11_14_17_21_55116 )),bind(B,$thf( sk3 @ ( sk1 @ i2003_11_14_17_21_55116 ) ))]]) ).

thf(265,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( ( cp1xcomp @ ( sk5 @ A ) )
       != ( cp1xcomp @ ( sk1 @ i2003_11_14_17_21_55116 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[146,248]) ).

thf(266,plain,
    ! [A: $i] :
      ( ~ ( ca_Vx3 @ A )
      | ( ( sk5 @ A )
       != ( sk1 @ i2003_11_14_17_21_55116 ) ) ),
    inference(simp,[status(thm)],[265]) ).

thf(375,plain,
    ! [A: $i] :
      ( ( ( sk5 @ A )
       != ( sk1 @ i2003_11_14_17_21_55116 ) )
      | ( ( ca_Vx3 @ i2003_11_14_17_21_55116 )
       != ( ca_Vx3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[364,266]) ).

thf(376,plain,
    ( ( sk5 @ i2003_11_14_17_21_55116 )
   != ( sk1 @ i2003_11_14_17_21_55116 ) ),
    inference(pattern_uni,[status(thm)],[375:[bind(A,$thf( i2003_11_14_17_21_55116 ))]]) ).

thf(496,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( rf @ A @ B )
      | ~ ( rf @ A @ C )
      | ( C
       != ( sk1 @ i2003_11_14_17_21_55116 ) )
      | ( B
       != ( sk5 @ i2003_11_14_17_21_55116 ) ) ),
    inference(paramod_ordered,[status(thm)],[150,376]) ).

thf(497,plain,
    ! [B: $i,A: $i] :
      ( ~ ( rf @ A @ ( sk5 @ i2003_11_14_17_21_55116 ) )
      | ~ ( rf @ A @ B )
      | ( B
       != ( sk1 @ i2003_11_14_17_21_55116 ) ) ),
    inference(pattern_uni,[status(thm)],[496:[bind(A,$thf( A )),bind(B,$thf( sk5 @ i2003_11_14_17_21_55116 )),bind(C,$thf( C ))]]) ).

thf(700,plain,
    ! [A: $i] :
      ( ~ ( rf @ A @ ( sk5 @ i2003_11_14_17_21_55116 ) )
      | ~ ( rf @ A @ ( sk1 @ i2003_11_14_17_21_55116 ) ) ),
    inference(simp,[status(thm)],[497]) ).

thf(857,plain,
    ! [A: $i] :
      ( ~ ( rf @ A @ ( sk1 @ i2003_11_14_17_21_55116 ) )
      | ( ( rf @ i2003_11_14_17_21_55116 @ ( sk5 @ i2003_11_14_17_21_55116 ) )
       != ( rf @ A @ ( sk5 @ i2003_11_14_17_21_55116 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[379,700]) ).

thf(858,plain,
    ~ ( rf @ i2003_11_14_17_21_55116 @ ( sk1 @ i2003_11_14_17_21_55116 ) ),
    inference(pattern_uni,[status(thm)],[857:[bind(A,$thf( i2003_11_14_17_21_55116 ))]]) ).

thf(944,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[858,177]) ).

thf(945,plain,
    $false,
    inference(simp,[status(thm)],[944]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS122+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n028.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sat May 18 22:11:08 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 1.08/0.94  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.37/1.08  % [INFO] 	 Parsing done (137ms). 
% 1.46/1.09  % [INFO] 	 Running in sequential loop mode. 
% 1.84/1.30  % [INFO] 	 nitpick registered as external prover. 
% 1.84/1.30  % [INFO] 	 Scanning for conjecture ... 
% 1.84/1.33  % [INFO] 	 31 axioms and no conjecture found. 
% 2.04/1.40  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.04/1.40  % [INFO] 	 Type checking passed. 
% 2.04/1.41  % [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 ... 
% 7.53/2.65  % [INFO] 	 Killing All external provers ... 
% 7.79/2.65  % Time passed: 2090ms (effective reasoning time: 1561ms)
% 7.79/2.65  % Axioms used in derivation (8): axiom_7, axiom_2, axiom_6, axiom_3, axiom_8, axiom_5, axiom_11, axiom_4
% 7.79/2.65  % No. of inferences in proof: 65
% 7.79/2.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2090 ms resp. 1561 ms w/o parsing
% 7.79/2.71  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.79/2.71  % [INFO] 	 Killing All external provers ... 
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