TSTP Solution File: KLE133+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : KLE133+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n004.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 11:25:07 EDT 2023

% Result   : Theorem 8.15s 2.66s
% Output   : Refutation 8.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   77 (  53 unt;  17 typ;   0 def)
%            Number of atoms       :   72 (  68 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  528 (   2   ~;   0   |;   4   &; 514   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   3 con; 0-2 aty)
%            Number of variables   :  106 (   0   ^; 106   !;   0   ?; 106   :)

% Comments : 
%------------------------------------------------------------------------------
thf(addition_type,type,
    addition: $i > $i > $i ).

thf(domain_type,type,
    domain: $i > $i ).

thf(forward_diamond_type,type,
    forward_diamond: $i > $i > $i ).

thf(star_type,type,
    star: $i > $i ).

thf(domain_difference_type,type,
    domain_difference: $i > $i > $i ).

thf(multiplication_type,type,
    multiplication: $i > $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(codomain_type,type,
    codomain: $i > $i ).

thf(coantidomain_type,type,
    coantidomain: $i > $i ).

thf(antidomain_type,type,
    antidomain: $i > $i ).

thf(one_type,type,
    one: $i ).

thf(backward_box_type,type,
    backward_box: $i > $i > $i ).

thf(c_type,type,
    c: $i > $i ).

thf(backward_diamond_type,type,
    backward_diamond: $i > $i > $i ).

thf(forward_box_type,type,
    forward_box: $i > $i > $i ).

thf(divergence_type,type,
    divergence: $i > $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(13,axiom,
    ! [A: $i] :
      ( ( addition @ A @ A )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).

thf(69,plain,
    ! [A: $i] :
      ( ( addition @ A @ A )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(30,axiom,
    ! [A: $i,B: $i] :
      ( ( leq @ A @ B )
    <=> ( ( addition @ A @ B )
        = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).

thf(120,plain,
    ! [A: $i,B: $i] :
      ( ( ( leq @ A @ B )
       => ( ( addition @ A @ B )
          = B ) )
      & ( ( ( addition @ A @ B )
          = B )
       => ( leq @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ A @ ( multiplication @ B @ C ) )
      = ( multiplication @ ( multiplication @ A @ B ) @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).

thf(42,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ A @ ( multiplication @ B @ C ) )
      = ( multiplication @ ( multiplication @ A @ B ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(18,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( addition @ C @ ( addition @ B @ A ) )
      = ( addition @ ( addition @ C @ B ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).

thf(84,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( addition @ C @ ( addition @ B @ A ) )
      = ( addition @ ( addition @ C @ B ) @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( addition @ ( coantidomain @ ( multiplication @ A @ B ) ) @ ( coantidomain @ ( multiplication @ ( coantidomain @ ( coantidomain @ A ) ) @ B ) ) )
      = ( coantidomain @ ( multiplication @ ( coantidomain @ ( coantidomain @ A ) ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain2) ).

thf(96,plain,
    ! [A: $i,B: $i] :
      ( ( addition @ ( coantidomain @ ( multiplication @ A @ B ) ) @ ( coantidomain @ ( multiplication @ ( coantidomain @ ( coantidomain @ A ) ) @ B ) ) )
      = ( coantidomain @ ( multiplication @ ( coantidomain @ ( coantidomain @ A ) ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( c @ A )
      = ( antidomain @ ( domain @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).

thf(105,plain,
    ! [A: $i] :
      ( ( c @ A )
      = ( antidomain @ ( domain @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( multiplication @ A @ zero )
      = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).

thf(45,plain,
    ! [A: $i] :
      ( ( multiplication @ A @ zero )
      = zero ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( multiplication @ A @ one )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).

thf(54,plain,
    ! [A: $i] :
      ( ( multiplication @ A @ one )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(1,conjecture,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( addition @ ( domain @ B ) @ ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
            = ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
        & ! [B: $i] :
            ( ( forward_diamond @ A @ ( forward_diamond @ A @ ( domain @ B ) ) )
            = ( forward_diamond @ A @ ( domain @ B ) ) ) )
     => ! [B: $i] :
          ( ( addition @ ( forward_diamond @ A @ ( domain @ B ) ) @ ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
          = ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ! [B: $i] :
              ( ( addition @ ( domain @ B ) @ ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
              = ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
          & ! [B: $i] :
              ( ( forward_diamond @ A @ ( forward_diamond @ A @ ( domain @ B ) ) )
              = ( forward_diamond @ A @ ( domain @ B ) ) ) )
       => ! [B: $i] :
            ( ( addition @ ( forward_diamond @ A @ ( domain @ B ) ) @ ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
            = ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(31,plain,
    ~ ! [A: $i] :
        ( ( ! [B: $i] :
              ( ( addition @ ( domain @ B ) @ ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
              = ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
          & ! [B: $i] :
              ( ( forward_diamond @ A @ ( forward_diamond @ A @ ( domain @ B ) ) )
              = ( forward_diamond @ A @ ( domain @ B ) ) ) )
       => ! [B: $i] :
            ( ( addition @ ( forward_diamond @ A @ ( domain @ B ) ) @ ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) )
            = ( forward_diamond @ ( star @ A ) @ ( domain_difference @ ( domain @ B ) @ ( forward_diamond @ A @ ( domain @ B ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(14,axiom,
    ! [A: $i,B: $i] :
      ( ( forward_box @ A @ B )
      = ( c @ ( forward_diamond @ A @ ( c @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_box) ).

thf(72,plain,
    ! [A: $i,B: $i] :
      ( ( forward_box @ A @ B )
      = ( c @ ( forward_diamond @ A @ ( c @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( addition @ A @ B )
      = ( addition @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).

thf(114,plain,
    ! [A: $i,B: $i] :
      ( ( addition @ A @ B )
      = ( addition @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ( ( forward_diamond @ A @ B )
      = ( domain @ ( multiplication @ A @ ( domain @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).

thf(75,plain,
    ! [A: $i,B: $i] :
      ( ( forward_diamond @ A @ B )
      = ( domain @ ( multiplication @ A @ ( domain @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( multiplication @ ( antidomain @ A ) @ A )
      = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).

thf(51,plain,
    ! [A: $i] :
      ( ( multiplication @ ( antidomain @ A ) @ A )
      = zero ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( domain_difference @ A @ B )
      = ( multiplication @ ( domain @ A ) @ ( antidomain @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_difference) ).

thf(93,plain,
    ! [A: $i,B: $i] :
      ( ( domain_difference @ A @ B )
      = ( multiplication @ ( domain @ A ) @ ( antidomain @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ( multiplication @ one @ A )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).

thf(57,plain,
    ! [A: $i] :
      ( ( multiplication @ one @ A )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ A ) ) @ ( antidomain @ A ) )
      = one ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).

thf(78,plain,
    ! [A: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ A ) ) @ ( antidomain @ A ) )
      = one ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( domain @ A )
      = ( antidomain @ ( antidomain @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).

thf(102,plain,
    ! [A: $i] :
      ( ( domain @ A )
      = ( antidomain @ ( antidomain @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( multiplication @ A @ ( coantidomain @ A ) )
      = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).

thf(60,plain,
    ! [A: $i] :
      ( ( multiplication @ A @ ( coantidomain @ A ) )
      = zero ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(29,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ A @ ( addition @ B @ C ) )
      = ( addition @ ( multiplication @ A @ B ) @ ( multiplication @ A @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).

thf(117,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ A @ ( addition @ B @ C ) )
      = ( addition @ ( multiplication @ A @ B ) @ ( multiplication @ A @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( addition @ ( antidomain @ ( multiplication @ A @ B ) ) @ ( antidomain @ ( multiplication @ A @ ( antidomain @ ( antidomain @ B ) ) ) ) )
      = ( antidomain @ ( multiplication @ A @ ( antidomain @ ( antidomain @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).

thf(81,plain,
    ! [A: $i,B: $i] :
      ( ( addition @ ( antidomain @ ( multiplication @ A @ B ) ) @ ( antidomain @ ( multiplication @ A @ ( antidomain @ ( antidomain @ B ) ) ) ) )
      = ( antidomain @ ( multiplication @ A @ ( antidomain @ ( antidomain @ B ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( multiplication @ zero @ A )
      = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).

thf(39,plain,
    ! [A: $i] :
      ( ( multiplication @ zero @ A )
      = zero ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( backward_diamond @ A @ B )
      = ( codomain @ ( multiplication @ ( codomain @ B ) @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).

thf(66,plain,
    ! [A: $i,B: $i] :
      ( ( backward_diamond @ A @ B )
      = ( codomain @ ( multiplication @ ( codomain @ B ) @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( addition @ A @ zero )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).

thf(108,plain,
    ! [A: $i] :
      ( ( addition @ A @ zero )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( codomain @ A )
      = ( coantidomain @ ( coantidomain @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).

thf(48,plain,
    ! [A: $i] :
      ( ( codomain @ A )
      = ( coantidomain @ ( coantidomain @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ( backward_box @ A @ B )
      = ( c @ ( backward_diamond @ A @ ( c @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_box) ).

thf(63,plain,
    ! [A: $i,B: $i] :
      ( ( backward_box @ A @ B )
      = ( c @ ( backward_diamond @ A @ ( c @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(23,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( addition @ ( domain @ A ) @ ( addition @ ( forward_diamond @ B @ ( domain @ A ) ) @ ( domain @ C ) ) )
        = ( addition @ ( forward_diamond @ B @ ( domain @ A ) ) @ ( domain @ C ) ) )
     => ( ( addition @ ( domain @ A ) @ ( addition @ ( divergence @ B ) @ ( forward_diamond @ ( star @ B ) @ ( domain @ C ) ) ) )
        = ( addition @ ( divergence @ B ) @ ( forward_diamond @ ( star @ B ) @ ( domain @ C ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divergence2) ).

thf(99,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( addition @ ( domain @ A ) @ ( addition @ ( forward_diamond @ B @ ( domain @ A ) ) @ ( domain @ C ) ) )
        = ( addition @ ( forward_diamond @ B @ ( domain @ A ) ) @ ( domain @ C ) ) )
     => ( ( addition @ ( domain @ A ) @ ( addition @ ( divergence @ B ) @ ( forward_diamond @ ( star @ B ) @ ( domain @ C ) ) ) )
        = ( addition @ ( divergence @ B ) @ ( forward_diamond @ ( star @ B ) @ ( domain @ C ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(19,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ ( addition @ A @ B ) @ C )
      = ( addition @ ( multiplication @ A @ C ) @ ( multiplication @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).

thf(87,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ ( addition @ A @ B ) @ C )
      = ( addition @ ( multiplication @ A @ C ) @ ( multiplication @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( addition @ ( coantidomain @ ( coantidomain @ A ) ) @ ( coantidomain @ A ) )
      = one ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).

thf(90,plain,
    ! [A: $i] :
      ( ( addition @ ( coantidomain @ ( coantidomain @ A ) ) @ ( coantidomain @ A ) )
      = one ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( forward_diamond @ A @ ( divergence @ A ) )
      = ( divergence @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divergence1) ).

thf(111,plain,
    ! [A: $i] :
      ( ( forward_diamond @ A @ ( divergence @ A ) )
      = ( divergence @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(842,plain,
    $false,
    inference(e,[status(thm)],[69,120,42,84,96,105,45,54,31,72,114,75,51,93,57,78,102,60,117,81,39,66,108,48,63,99,87,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE133+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri May 19 02:58:25 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.88/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.17/1.00  % [INFO] 	 Parsing done (146ms). 
% 1.17/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.80/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.80/1.21  % [INFO] 	 cvc4 registered as external prover. 
% 1.80/1.21  % [INFO] 	 Scanning for conjecture ... 
% 1.92/1.27  % [INFO] 	 Found a conjecture and 28 axioms. Running axiom selection ... 
% 2.15/1.32  % [INFO] 	 Axiom selection finished. Selected 28 axioms (removed 0 axioms). 
% 2.15/1.35  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.15/1.36  % [INFO] 	 Type checking passed. 
% 2.15/1.36  % [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 ... 
% 8.15/2.66  % External prover 'e' found a proof!
% 8.15/2.66  % [INFO] 	 Killing All external provers ... 
% 8.15/2.66  % Time passed: 2130ms (effective reasoning time: 1649ms)
% 8.15/2.66  % 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)>
% 8.15/2.66  % Axioms used in derivation (28): forward_box, additive_identity, domain4, backward_box, domain3, codomain2, complement, right_annihilation, backward_diamond, forward_diamond, codomain4, left_annihilation, codomain1, additive_idempotence, additive_associativity, right_distributivity, domain2, divergence2, multiplicative_right_identity, order, additive_commutativity, domain_difference, multiplicative_left_identity, codomain3, domain1, divergence1, multiplicative_associativity, left_distributivity
% 8.15/2.66  % No. of inferences in proof: 60
% 8.15/2.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2130 ms resp. 1649 ms w/o parsing
% 8.21/2.69  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.21/2.69  % [INFO] 	 Killing All external provers ... 
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