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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : NUM926^1 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:18:17 AM UTC 2026

% Result   : Theorem 128.04s 29.82s
% Output   : Refutation 128.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   43 (  29 unt;   0 typ;   4 def)
%            Number of atoms       :   84 (  61 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  540 (  23   ~;  10   |;   5   &; 498   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :   48 (   0   ^;  28   !;  16   ?;  48   :)
%                                         (   0  !>;   0  ?*;   0  @-;   4  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(int_type,type,
    int: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(one_one_int_decl,type,
    one_one_int: int ).

thf(plus_plus_int_decl,type,
    plus_plus_int: int > int > int ).

thf(times_times_int_decl,type,
    times_times_int: int > int > int ).

thf(bit0_decl,type,
    bit0: int > int ).

thf(bit1_decl,type,
    bit1: int > int ).

thf(pls_decl,type,
    pls: int ).

thf(number_number_of_int_decl,type,
    number_number_of_int: int > int ).

thf(number_number_of_nat_decl,type,
    number_number_of_nat: int > nat ).

thf(ord_less_int_decl,type,
    ord_less_int: int > int > $o ).

thf(ord_less_eq_int_decl,type,
    ord_less_eq_int: int > int > $o ).

thf(power_power_int_decl,type,
    power_power_int: int > nat > int ).

thf(m_decl,type,
    m: int ).

thf(t_decl,type,
    t: int ).

thf(sk2_decl,type,
    sk2: int ).

thf(sk3_decl,type,
    sk3: int ).

thf(sk4_decl,type,
    sk4: int ).

thf(sk5_decl,type,
    sk5: int ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: int] :
        ? [B: int] :
          ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
          = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( @+[A: int] :
          ( ( plus_plus_int @ ( power_power_int @ sk2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
          = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( @+[A: int] :
        ? [B: int] :
          ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
          = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( @+[A: int] :
          ( ( plus_plus_int @ ( power_power_int @ sk4 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
          = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ) ) ).

thf(78,axiom,
    ( ( ord_less_int @ one_one_int @ t )
   => ? [A: int,B: int] :
        ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

thf(344,plain,
    ( ( ord_less_int @ one_one_int @ t )
   => ? [A: int,B: int] :
        ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(345,plain,
    ( ~ ( ord_less_int @ one_one_int @ t )
    | ( ( plus_plus_int @ ( power_power_int @ sk2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk3 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    inference(cnf,[status(esa)],[344]) ).

thf(346,plain,
    ( ( ( plus_plus_int @ ( power_power_int @ sk2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk3 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) )
    | ~ ( ord_less_int @ one_one_int @ t ) ),
    inference(lifteq,[status(thm)],[345]) ).

thf(97,axiom,
    ! [A: int] :
      ( ( number_number_of_int @ A )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_number__of__is__id) ).

thf(401,plain,
    ! [A: int] :
      ( ( number_number_of_int @ A )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(402,plain,
    ! [A: int] :
      ( ( number_number_of_int @ A )
      = A ),
    inference(cnf,[status(esa)],[401]) ).

thf(403,plain,
    ! [A: int] :
      ( ( number_number_of_int @ A )
      = A ),
    inference(lifteq,[status(thm)],[402]) ).

thf(55,axiom,
    ! [A: int] :
      ( ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
      = ( times_times_int @ A @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_power2__eq__square) ).

thf(282,plain,
    ! [A: int] :
      ( ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
      = ( times_times_int @ A @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(283,plain,
    ! [A: int] :
      ( ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
      = ( times_times_int @ A @ A ) ),
    inference(cnf,[status(esa)],[282]) ).

thf(284,plain,
    ! [A: int] :
      ( ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
      = ( times_times_int @ A @ A ) ),
    inference(lifteq,[status(thm)],[283]) ).

thf(111,axiom,
    ord_less_eq_int @ one_one_int @ t,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).

thf(440,plain,
    ord_less_eq_int @ one_one_int @ t,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(25,axiom,
    ! [A: int,B: int] :
      ( ( ord_less_int @ A @ B )
      = ( ( ord_less_eq_int @ A @ B )
        & ( A != B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_zless__le) ).

thf(192,plain,
    ! [A: int,B: int] :
      ( ( ord_less_int @ A @ B )
      = ( ( ord_less_eq_int @ A @ B )
        & ( A != B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(193,plain,
    ! [B: int,A: int] :
      ( ( ord_less_int @ A @ B )
      = ( ( ord_less_eq_int @ A @ B )
        & ( A != B ) ) ),
    inference(cnf,[status(esa)],[192]) ).

thf(194,plain,
    ! [B: int,A: int] :
      ( ( ord_less_int @ A @ B )
      = ( ( ord_less_eq_int @ A @ B )
        & ( A != B ) ) ),
    inference(lifteq,[status(thm)],[193]) ).

thf(8107,plain,
    ! [B: int,A: int] :
      ( ( ( ord_less_int @ A @ B )
        = ( $true
          & ( A != B ) ) )
      | ( ( ord_less_eq_int @ one_one_int @ t )
       != ( ord_less_eq_int @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[440,194]) ).

thf(8108,plain,
    ! [B: int,A: int] :
      ( ( ( ord_less_int @ A @ B )
        = ( A != B ) )
      | ( ( ord_less_eq_int @ one_one_int @ t )
       != ( ord_less_eq_int @ A @ B ) ) ),
    inference(simp,[status(thm)],[8107]) ).

thf(8109,plain,
    ( ( ord_less_int @ one_one_int @ t )
    = ( one_one_int != t ) ),
    inference(pattern_uni,[status(thm)],[8108:[bind(A,$thf( one_one_int )),bind(B,$thf( t ))]]) ).

thf(31950,plain,
    ( ( ( plus_plus_int @ ( times_times_int @ sk2 @ sk2 ) @ ( times_times_int @ sk3 @ sk3 ) )
      = ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) )
    | ~ ( ( one_one_int != t ) ) ),
    inference(rewrite,[status(thm)],[346,403,284,8109]) ).

thf(31951,plain,
    ( ( ( plus_plus_int @ ( times_times_int @ sk2 @ sk2 ) @ ( times_times_int @ sk3 @ sk3 ) )
      = ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) )
    | ( one_one_int = t ) ),
    inference(simp,[status(thm)],[31950]) ).

thf(31952,plain,
    ( ( t = one_one_int )
    | ( ( plus_plus_int @ ( times_times_int @ sk2 @ sk2 ) @ ( times_times_int @ sk3 @ sk3 ) )
      = ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ) ),
    inference(lifteq,[status(thm)],[31951]) ).

thf(1,conjecture,
    ? [A: int,B: int] :
      ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(2,negated_conjecture,
    ~ ? [A: int,B: int] :
        ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(126,plain,
    ~ ? [A: int,B: int] :
        ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(127,plain,
    ! [B: int,A: int] :
      ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    inference(cnf,[status(esa)],[126]) ).

thf(128,plain,
    ! [B: int,A: int] :
      ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    inference(lifteq,[status(thm)],[127]) ).

thf(558,plain,
    ! [B: int,A: int] :
      ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ),
    inference(rewrite,[status(thm)],[128,403]) ).

thf(56943,plain,
    ! [B: int,A: int] :
      ( ( plus_plus_int @ ( times_times_int @ A @ A ) @ ( times_times_int @ B @ B ) )
     != ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ),
    inference(rewrite,[status(thm)],[558,284]) ).

thf(56945,plain,
    t = one_one_int,
    inference(simplifyReflect,[status(thm)],[31952,56943]) ).

thf(117,axiom,
    ( ( t = one_one_int )
   => ? [A: int,B: int] :
        ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

thf(454,plain,
    ( ( t = one_one_int )
   => ? [A: int,B: int] :
        ( ( plus_plus_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ B @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(455,plain,
    ( ( t != one_one_int )
    | ( ( plus_plus_int @ ( power_power_int @ sk4 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk5 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    inference(cnf,[status(esa)],[454]) ).

thf(456,plain,
    ( ( t != one_one_int )
    | ( ( plus_plus_int @ ( power_power_int @ sk4 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sk5 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    inference(lifteq,[status(thm)],[455]) ).

thf(45149,plain,
    ( ( t != one_one_int )
    | ( ( plus_plus_int @ ( times_times_int @ sk4 @ sk4 ) @ ( times_times_int @ sk5 @ sk5 ) )
      = ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ) ),
    inference(rewrite,[status(thm)],[456,403,284]) ).

thf(56944,plain,
    t != one_one_int,
    inference(simplifyReflect,[status(thm)],[45149,56943]) ).

thf(57293,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[56945,56944]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM926^1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.08/0.19  % Computer : n002.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 13:08:22 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.88/0.78  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.94/1.16  % [INFO] 	 Parsing done (377ms). 
% 1.94/1.17  % [INFO] 	 Running in sequential loop mode. 
% 2.70/1.57  % [INFO] 	 eprover registered as external prover. 
% 2.70/1.58  % [INFO] 	 Scanning for conjecture ... 
% 3.13/1.71  % [INFO] 	 Found a conjecture (or negated_conjecture) and 123 axioms. Running axiom selection ... 
% 3.36/1.82  % [INFO] 	 Axiom selection finished. Selected 123 axioms (removed 0 axioms). 
% 3.65/1.99  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 3.65/2.01  % [INFO] 	 Type checking passed. 
% 3.65/2.01  % [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 ... 
% 128.04/29.82  % [INFO] 	 Killing All external provers ... 
% 128.04/29.82  % Time passed: 29484ms (effective reasoning time: 28641ms)
% 128.04/29.82  % 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)>
% 128.04/29.82  % Axioms used in derivation (6): fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, fact_0_tpos, fact_28_zless__le, fact_18_power2__eq__square, fact_111_number__of__is__id, fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06
% 128.04/29.82  % No. of inferences in proof: 39
% 128.04/29.82  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 29484 ms resp. 28641 ms w/o parsing
% 128.04/29.87  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 128.04/29.87  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------