TSTP Solution File: NUM460+2 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NUM460+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n011.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 : Fri May 19 11:40:40 EDT 2023

% Result   : Theorem 8.27s 2.78s
% Output   : Refutation 8.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   58 (   4 unt;  10 typ;   0 def)
%            Number of atoms       :  199 (  72 equ;   0 cnn)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  497 (   6   ~;   9   |;  80   &; 340   @)
%                                         (   2 <=>;  60  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   89 (   0   ^;  77   !;  12   ?;  89   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
    aNaturalNumber0: $i > $o ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(xm_type,type,
    xm: $i ).

thf(xn_type,type,
    xn: $i ).

thf(xl_type,type,
    xl: $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(sz00_type,type,
    sz00: $i ).

thf(sz10_type,type,
    sz10: $i ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( ( sdtasdt0 @ A @ B )
          = sz00 )
       => ( ( A = sz00 )
          | ( B = sz00 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).

thf(52,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( ( sdtasdt0 @ A @ B )
          = sz00 )
       => ( ( A = sz00 )
          | ( B = sz00 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(13,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B )
        & ( aNaturalNumber0 @ C ) )
     => ( ( ( sdtasdt0 @ A @ ( sdtpldt0 @ B @ C ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ A @ B ) @ ( sdtasdt0 @ A @ C ) ) )
        & ( ( sdtasdt0 @ ( sdtpldt0 @ B @ C ) @ A )
          = ( sdtpldt0 @ ( sdtasdt0 @ B @ A ) @ ( sdtasdt0 @ C @ A ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).

thf(84,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B )
        & ( aNaturalNumber0 @ C ) )
     => ( ( ( sdtasdt0 @ A @ ( sdtpldt0 @ B @ C ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ A @ B ) @ ( sdtasdt0 @ A @ C ) ) )
        & ( ( sdtasdt0 @ ( sdtpldt0 @ B @ C ) @ A )
          = ( sdtpldt0 @ ( sdtasdt0 @ B @ A ) @ ( sdtasdt0 @ C @ A ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( sdtlseqdt0 @ A @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).

thf(89,plain,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( sdtlseqdt0 @ A @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(23,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( aNaturalNumber0 @ ( sdtasdt0 @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

thf(117,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( aNaturalNumber0 @ ( sdtasdt0 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(5,axiom,
    ( ( aNaturalNumber0 @ sz10 )
    & ( sz10 != sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

thf(45,plain,
    ( ( aNaturalNumber0 @ sz10 )
    & ( sz10 != sz00 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( ( sdtlseqdt0 @ A @ B )
          & ( sdtlseqdt0 @ B @ A ) )
       => ( A = B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).

thf(49,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( ( sdtlseqdt0 @ A @ B )
          & ( sdtlseqdt0 @ B @ A ) )
       => ( A = B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( ( ( sdtasdt0 @ A @ sz10 )
          = A )
        & ( A
          = ( sdtasdt0 @ sz10 @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).

thf(112,plain,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( ( ( sdtasdt0 @ A @ sz10 )
          = A )
        & ( A
          = ( sdtasdt0 @ sz10 @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( aNaturalNumber0 @ ( sdtpldt0 @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

thf(95,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( aNaturalNumber0 @ ( sdtpldt0 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( sdtlseqdt0 @ A @ B )
      <=> ? [C: $i] :
            ( ( aNaturalNumber0 @ C )
            & ( ( sdtpldt0 @ A @ C )
              = B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).

thf(55,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( ( sdtlseqdt0 @ A @ B )
         => ? [C: $i] :
              ( ( aNaturalNumber0 @ C )
              & ( ( sdtpldt0 @ A @ C )
                = B ) ) )
        & ( ? [C: $i] :
              ( ( aNaturalNumber0 @ C )
              & ( ( sdtpldt0 @ A @ C )
                = B ) )
         => ( sdtlseqdt0 @ A @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(24,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( ( sdtpldt0 @ A @ B )
          = sz00 )
       => ( ( A = sz00 )
          & ( B = sz00 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).

thf(119,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( ( sdtpldt0 @ A @ B )
          = sz00 )
       => ( ( A = sz00 )
          & ( B = sz00 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(9,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B )
        & ( aNaturalNumber0 @ C ) )
     => ( ( sdtasdt0 @ ( sdtasdt0 @ A @ B ) @ C )
        = ( sdtasdt0 @ A @ ( sdtasdt0 @ B @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).

thf(62,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B )
        & ( aNaturalNumber0 @ C ) )
     => ( ( sdtasdt0 @ ( sdtasdt0 @ A @ B ) @ C )
        = ( sdtasdt0 @ A @ ( sdtasdt0 @ B @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( sdtasdt0 @ A @ B )
        = ( sdtasdt0 @ B @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

thf(42,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( sdtasdt0 @ A @ B )
        = ( sdtasdt0 @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( ( ( sdtasdt0 @ A @ sz00 )
          = sz00 )
        & ( sz00
          = ( sdtasdt0 @ sz00 @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).

thf(37,plain,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( ( ( sdtasdt0 @ A @ sz00 )
          = sz00 )
        & ( sz00
          = ( sdtasdt0 @ sz00 @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(1,conjecture,
    ( ( ? [A: $i] :
          ( ( aNaturalNumber0 @ A )
          & ( ( sdtpldt0 @ xm @ A )
            = xn ) )
      & ( sdtlseqdt0 @ xm @ xn )
      & ? [A: $i] :
          ( ( aNaturalNumber0 @ A )
          & ( ( sdtpldt0 @ xn @ A )
            = xl ) )
      & ( sdtlseqdt0 @ xn @ xl ) )
   => ( ? [A: $i] :
          ( ( aNaturalNumber0 @ A )
          & ( ( sdtpldt0 @ xm @ A )
            = xl ) )
      | ( sdtlseqdt0 @ xm @ xl ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

thf(2,negated_conjecture,
    ~ ( ( ? [A: $i] :
            ( ( aNaturalNumber0 @ A )
            & ( ( sdtpldt0 @ xm @ A )
              = xn ) )
        & ( sdtlseqdt0 @ xm @ xn )
        & ? [A: $i] :
            ( ( aNaturalNumber0 @ A )
            & ( ( sdtpldt0 @ xn @ A )
              = xl ) )
        & ( sdtlseqdt0 @ xn @ xl ) )
     => ( ? [A: $i] :
            ( ( aNaturalNumber0 @ A )
            & ( ( sdtpldt0 @ xm @ A )
              = xl ) )
        | ( sdtlseqdt0 @ xm @ xl ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(25,plain,
    ~ ( ( ? [A: $i] :
            ( ( aNaturalNumber0 @ A )
            & ( ( sdtpldt0 @ xm @ A )
              = xn ) )
        & ( sdtlseqdt0 @ xm @ xn )
        & ? [A: $i] :
            ( ( aNaturalNumber0 @ A )
            & ( ( sdtpldt0 @ xn @ A )
              = xl ) )
        & ( sdtlseqdt0 @ xn @ xl ) )
     => ( ? [A: $i] :
            ( ( aNaturalNumber0 @ A )
            & ( ( sdtpldt0 @ xm @ A )
              = xl ) )
        | ( sdtlseqdt0 @ xm @ xl ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( sdtpldt0 @ A @ B )
        = ( sdtpldt0 @ B @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

thf(92,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( sdtpldt0 @ A @ B )
        = ( sdtpldt0 @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( sdtlseqdt0 @ A @ B )
       => ! [C: $i] :
            ( ( C
              = ( sdtmndt0 @ B @ A ) )
          <=> ( ( aNaturalNumber0 @ C )
              & ( ( sdtpldt0 @ A @ C )
                = B ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

thf(65,plain,
    ! [A: $i,B: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B ) )
     => ( ( sdtlseqdt0 @ A @ B )
       => ! [C: $i] :
            ( ( ( C
                = ( sdtmndt0 @ B @ A ) )
             => ( ( aNaturalNumber0 @ C )
                & ( ( sdtpldt0 @ A @ C )
                  = B ) ) )
            & ( ( ( aNaturalNumber0 @ C )
                & ( ( sdtpldt0 @ A @ C )
                  = B ) )
             => ( C
                = ( sdtmndt0 @ B @ A ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(18,axiom,
    aNaturalNumber0 @ sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

thf(97,plain,
    aNaturalNumber0 @ sz00,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(11,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B )
        & ( aNaturalNumber0 @ C ) )
     => ( ( sdtpldt0 @ ( sdtpldt0 @ A @ B ) @ C )
        = ( sdtpldt0 @ A @ ( sdtpldt0 @ B @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

thf(76,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B )
        & ( aNaturalNumber0 @ C ) )
     => ( ( sdtpldt0 @ ( sdtpldt0 @ A @ B ) @ C )
        = ( sdtpldt0 @ A @ ( sdtpldt0 @ B @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( ( A != sz00 )
       => ! [B: $i,C: $i] :
            ( ( ( aNaturalNumber0 @ B )
              & ( aNaturalNumber0 @ C ) )
           => ( ( ( ( sdtasdt0 @ A @ B )
                  = ( sdtasdt0 @ A @ C ) )
                | ( ( sdtasdt0 @ B @ A )
                  = ( sdtasdt0 @ C @ A ) ) )
             => ( B = C ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).

thf(98,plain,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( ( A != sz00 )
       => ! [B: $i,C: $i] :
            ( ( ( aNaturalNumber0 @ B )
              & ( aNaturalNumber0 @ C ) )
           => ( ( ( ( sdtasdt0 @ A @ B )
                  = ( sdtasdt0 @ A @ C ) )
                | ( ( sdtasdt0 @ B @ A )
                  = ( sdtasdt0 @ C @ A ) ) )
             => ( B = C ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(20,axiom,
    ( ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xl ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__773) ).

thf(103,plain,
    ( ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xl ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatSort) ).

thf(91,plain,
    $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(21,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B )
        & ( aNaturalNumber0 @ C ) )
     => ( ( ( ( sdtpldt0 @ A @ B )
            = ( sdtpldt0 @ A @ C ) )
          | ( ( sdtpldt0 @ B @ A )
            = ( sdtpldt0 @ C @ A ) ) )
       => ( B = C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).

thf(107,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( aNaturalNumber0 @ A )
        & ( aNaturalNumber0 @ B )
        & ( aNaturalNumber0 @ C ) )
     => ( ( ( ( sdtpldt0 @ A @ B )
            = ( sdtpldt0 @ A @ C ) )
          | ( ( sdtpldt0 @ B @ A )
            = ( sdtpldt0 @ C @ A ) ) )
       => ( B = C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( ( ( sdtpldt0 @ A @ sz00 )
          = A )
        & ( A
          = ( sdtpldt0 @ sz00 @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).

thf(79,plain,
    ! [A: $i] :
      ( ( aNaturalNumber0 @ A )
     => ( ( ( sdtpldt0 @ A @ sz00 )
          = A )
        & ( A
          = ( sdtpldt0 @ sz00 @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(1524,plain,
    $false,
    inference(cvc4,[status(thm)],[52,84,89,117,45,49,112,95,55,119,62,42,37,25,92,65,97,76,98,103,91,107,79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM460+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 17:35:19 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.98/0.90  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.31/1.04  % [INFO] 	 Parsing done (141ms). 
% 1.31/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.78/1.25  % [INFO] 	 eprover registered as external prover. 
% 1.78/1.25  % [INFO] 	 cvc4 registered as external prover. 
% 1.78/1.26  % [INFO] 	 Scanning for conjecture ... 
% 1.78/1.30  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 1.78/1.31  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 1.98/1.33  % [INFO] 	 Found a conjecture and 22 axioms. Running axiom selection ... 
% 2.17/1.37  % [INFO] 	 Axiom selection finished. Selected 22 axioms (removed 0 axioms). 
% 2.17/1.38  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.17/1.38  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.17/1.40  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.17/1.41  % [INFO] 	 Type checking passed. 
% 2.17/1.41  % [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 ... 
% 8.27/2.77  % External prover 'cvc4' found a proof!
% 8.27/2.77  % [INFO] 	 Killing All external provers ... 
% 8.27/2.78  % Time passed: 2257ms (effective reasoning time: 1720ms)
% 8.27/2.78  % Solved by 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)>
% 8.27/2.78  % Axioms used in derivation (22): mSortsC, mAddComm, m_MulUnit, mDefDiff, m_MulZero, mZeroMul, mZeroAdd, mAddAsso, m__773, mAMDistr, mLEAsym, mAddCanc, mSortsC_01, mMulCanc, mMulAsso, mDefLE, mSortsB_02, m_AddZero, mSortsB, mNatSort, mMulComm, mLERefl
% 8.27/2.78  % No. of inferences in proof: 48
% 8.27/2.78  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2257 ms resp. 1720 ms w/o parsing
% 8.27/2.81  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.27/2.81  % [INFO] 	 Killing All external provers ... 
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