TSTP Solution File: GRP493-1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : GRP493-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n012.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 21:04:08 EDT 2024

% Result   : Unsatisfiable 158.71s 23.33s
% Output   : Refutation 158.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   72 (  52 unt;   5 typ;   0 def)
%            Number of atoms       :   82 (  81 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  548 (  22   ~;  15   |;   0   &; 511   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   93 (   0   ^  93   !;   0   ?;  93   :)

% Comments : 
%------------------------------------------------------------------------------
thf(multiply_type,type,
    multiply: $i > $i > $i ).

thf(inverse_type,type,
    inverse: $i > $i ).

thf(a1_type,type,
    a1: $i ).

thf(identity_type,type,
    identity: $i ).

thf(double_divide_type,type,
    double_divide: $i > $i > $i ).

thf(5,axiom,
    ! [A: $i] :
      ( identity
      = ( double_divide @ A @ ( inverse @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

thf(15,plain,
    ! [A: $i] :
      ( identity
      = ( double_divide @ A @ ( inverse @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(16,plain,
    ! [A: $i] :
      ( ( double_divide @ A @ ( inverse @ A ) )
      = identity ),
    inference(lifteq,[status(thm)],[15]) ).

thf(3,axiom,
    ! [B: $i,A: $i] :
      ( ( multiply @ A @ B )
      = ( double_divide @ ( double_divide @ B @ A ) @ identity ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

thf(11,plain,
    ! [B: $i,A: $i] :
      ( ( multiply @ A @ B )
      = ( double_divide @ ( double_divide @ B @ A ) @ identity ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(12,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ B @ A ) @ identity )
      = ( multiply @ A @ B ) ),
    inference(lifteq,[status(thm)],[11]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( inverse @ A )
      = ( double_divide @ A @ identity ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

thf(13,plain,
    ! [A: $i] :
      ( ( inverse @ A )
      = ( double_divide @ A @ identity ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(14,plain,
    ! [A: $i] :
      ( ( double_divide @ A @ identity )
      = ( inverse @ A ) ),
    inference(lifteq,[status(thm)],[13]) ).

thf(23,plain,
    ! [B: $i,A: $i] :
      ( ( inverse @ ( double_divide @ B @ A ) )
      = ( multiply @ A @ B ) ),
    inference(rewrite,[status(thm)],[12,14]) ).

thf(26,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( multiply @ B @ C )
        = ( inverse @ identity ) )
      | ( ( double_divide @ A @ ( inverse @ A ) )
       != ( double_divide @ C @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[16,23]) ).

thf(27,plain,
    ! [A: $i] :
      ( ( multiply @ ( inverse @ A ) @ A )
      = ( inverse @ identity ) ),
    inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( D )),bind(B,$thf( inverse @ D )),bind(C,$thf( D ))]]) ).

thf(35,plain,
    ! [A: $i] :
      ( ( multiply @ ( inverse @ A ) @ A )
      = ( inverse @ identity ) ),
    inference(simp,[status(thm)],[27]) ).

thf(24,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( double_divide @ C @ ( multiply @ A @ B ) )
        = identity )
      | ( ( inverse @ ( double_divide @ B @ A ) )
       != ( inverse @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[23,16]) ).

thf(25,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ A @ B ) @ ( multiply @ B @ A ) )
      = identity ),
    inference(pattern_uni,[status(thm)],[24:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( double_divide @ D @ E ))]]) ).

thf(34,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ A @ B ) @ ( multiply @ B @ A ) )
      = identity ),
    inference(simp,[status(thm)],[25]) ).

thf(233,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( double_divide @ ( double_divide @ B @ C ) @ ( inverse @ identity ) )
        = identity )
      | ( ( multiply @ ( inverse @ A ) @ A )
       != ( multiply @ C @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[35,34]) ).

thf(234,plain,
    ! [A: $i] :
      ( ( double_divide @ ( double_divide @ A @ ( inverse @ A ) ) @ ( inverse @ identity ) )
      = identity ),
    inference(pattern_uni,[status(thm)],[233:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( inverse @ D ))]]) ).

thf(262,plain,
    ! [A: $i] :
      ( ( double_divide @ ( double_divide @ A @ ( inverse @ A ) ) @ ( inverse @ identity ) )
      = identity ),
    inference(simp,[status(thm)],[234]) ).

thf(442,plain,
    ( ( double_divide @ identity @ ( inverse @ identity ) )
    = identity ),
    inference(rewrite,[status(thm)],[262,16]) ).

thf(2,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ A ) @ ( double_divide @ ( double_divide @ ( double_divide @ B @ C ) @ ( double_divide @ identity @ identity ) ) @ ( double_divide @ A @ C ) ) )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

thf(9,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ A ) @ ( double_divide @ ( double_divide @ ( double_divide @ B @ C ) @ ( double_divide @ identity @ identity ) ) @ ( double_divide @ A @ C ) ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(10,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ A ) @ ( double_divide @ ( double_divide @ ( double_divide @ B @ C ) @ ( double_divide @ identity @ identity ) ) @ ( double_divide @ A @ C ) ) )
      = B ),
    inference(lifteq,[status(thm)],[9]) ).

thf(74,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ A ) @ ( double_divide @ ( double_divide @ ( double_divide @ B @ C ) @ ( inverse @ identity ) ) @ ( double_divide @ A @ C ) ) )
      = B ),
    inference(rewrite,[status(thm)],[10,14]) ).

thf(95,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( double_divide @ identity @ ( double_divide @ ( double_divide @ ( double_divide @ C @ D ) @ ( inverse @ identity ) ) @ ( double_divide @ B @ D ) ) )
        = C )
      | ( ( double_divide @ A @ ( inverse @ A ) )
       != ( double_divide @ identity @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[16,74]) ).

thf(96,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ identity @ ( double_divide @ ( double_divide @ ( double_divide @ A @ B ) @ ( inverse @ identity ) ) @ ( double_divide @ ( inverse @ identity ) @ B ) ) )
      = A ),
    inference(pattern_uni,[status(thm)],[95:[bind(A,$thf( identity )),bind(B,$thf( inverse @ identity )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).

thf(119,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ identity @ ( double_divide @ ( double_divide @ ( double_divide @ A @ B ) @ ( inverse @ identity ) ) @ ( double_divide @ ( inverse @ identity ) @ B ) ) )
      = A ),
    inference(simp,[status(thm)],[96]) ).

thf(6353,plain,
    ! [B: $i,A: $i] :
      ( ( ( double_divide @ identity @ ( double_divide @ ( double_divide @ identity @ ( inverse @ identity ) ) @ ( double_divide @ ( inverse @ identity ) @ B ) ) )
        = A )
      | ( ( double_divide @ identity @ ( inverse @ identity ) )
       != ( double_divide @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[442,119]) ).

thf(6354,plain,
    ( ( double_divide @ identity @ ( double_divide @ ( double_divide @ identity @ ( inverse @ identity ) ) @ ( double_divide @ ( inverse @ identity ) @ ( inverse @ identity ) ) ) )
    = identity ),
    inference(pattern_uni,[status(thm)],[6353:[bind(A,$thf( identity )),bind(B,$thf( inverse @ identity ))]]) ).

thf(6674,plain,
    ( ( double_divide @ identity @ ( double_divide @ identity @ ( double_divide @ ( inverse @ identity ) @ ( inverse @ identity ) ) ) )
    = identity ),
    inference(rewrite,[status(thm)],[6354,442]) ).

thf(6785,plain,
    ! [B: $i,A: $i] :
      ( ( ( multiply @ A @ B )
        = ( inverse @ identity ) )
      | ( ( double_divide @ identity @ ( double_divide @ identity @ ( double_divide @ ( inverse @ identity ) @ ( inverse @ identity ) ) ) )
       != ( double_divide @ B @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[6674,23]) ).

thf(6786,plain,
    ( ( multiply @ ( double_divide @ identity @ ( double_divide @ ( inverse @ identity ) @ ( inverse @ identity ) ) ) @ identity )
    = ( inverse @ identity ) ),
    inference(pattern_uni,[status(thm)],[6785:[bind(A,$thf( double_divide @ identity @ ( double_divide @ ( inverse @ identity ) @ ( inverse @ identity ) ) )),bind(B,$thf( identity ))]]) ).

thf(97,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( double_divide @ ( double_divide @ identity @ B ) @ ( double_divide @ ( double_divide @ ( double_divide @ C @ D ) @ ( inverse @ identity ) ) @ identity ) )
        = C )
      | ( ( double_divide @ A @ ( inverse @ A ) )
       != ( double_divide @ B @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[16,74]) ).

thf(98,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ B ) @ ( double_divide @ ( double_divide @ ( double_divide @ A @ ( inverse @ B ) ) @ ( inverse @ identity ) ) @ identity ) )
      = A ),
    inference(pattern_uni,[status(thm)],[97:[bind(A,$thf( E )),bind(B,$thf( E )),bind(C,$thf( C )),bind(D,$thf( inverse @ E ))]]) ).

thf(120,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ B ) @ ( double_divide @ ( double_divide @ ( double_divide @ A @ ( inverse @ B ) ) @ ( inverse @ identity ) ) @ identity ) )
      = A ),
    inference(simp,[status(thm)],[98]) ).

thf(7059,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ B ) @ ( inverse @ ( double_divide @ ( double_divide @ A @ ( inverse @ B ) ) @ ( inverse @ identity ) ) ) )
      = A ),
    inference(rewrite,[status(thm)],[120,14]) ).

thf(7272,plain,
    ! [B: $i,A: $i] :
      ( ( ( double_divide @ ( double_divide @ identity @ B ) @ ( inverse @ ( double_divide @ identity @ ( inverse @ identity ) ) ) )
        = A )
      | ( ( double_divide @ identity @ ( inverse @ identity ) )
       != ( double_divide @ A @ ( inverse @ B ) ) ) ),
    inference(paramod_ordered,[status(thm)],[442,7059]) ).

thf(7273,plain,
    ( ( double_divide @ ( double_divide @ identity @ identity ) @ ( inverse @ ( double_divide @ identity @ ( inverse @ identity ) ) ) )
    = identity ),
    inference(pattern_uni,[status(thm)],[7272:[bind(A,$thf( identity )),bind(B,$thf( identity ))]]) ).

thf(7737,plain,
    ( ( double_divide @ ( inverse @ identity ) @ ( inverse @ identity ) )
    = identity ),
    inference(rewrite,[status(thm)],[7273,442,14]) ).

thf(9351,plain,
    ( ( multiply @ ( double_divide @ identity @ identity ) @ identity )
    = ( inverse @ identity ) ),
    inference(rewrite,[status(thm)],[6786,7737]) ).

thf(9416,plain,
    ! [B: $i,A: $i] :
      ( ( ( inverse @ ( double_divide @ B @ A ) )
        = ( inverse @ identity ) )
      | ( ( multiply @ ( double_divide @ identity @ identity ) @ identity )
       != ( multiply @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[9351,23]) ).

thf(9417,plain,
    ( ( inverse @ ( double_divide @ identity @ ( double_divide @ identity @ identity ) ) )
    = ( inverse @ identity ) ),
    inference(pattern_uni,[status(thm)],[9416:[bind(A,$thf( double_divide @ identity @ identity )),bind(B,$thf( identity ))]]) ).

thf(9821,plain,
    ( ( inverse @ ( double_divide @ identity @ ( inverse @ identity ) ) )
    = ( inverse @ identity ) ),
    inference(rewrite,[status(thm)],[9417,14]) ).

thf(219,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( double_divide @ ( inverse @ A ) @ ( multiply @ C @ B ) )
        = identity )
      | ( ( double_divide @ A @ identity )
       != ( double_divide @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[14,34]) ).

thf(220,plain,
    ! [A: $i] :
      ( ( double_divide @ ( inverse @ A ) @ ( multiply @ identity @ A ) )
      = identity ),
    inference(pattern_uni,[status(thm)],[219:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( identity ))]]) ).

thf(31,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( inverse @ ( inverse @ A ) )
        = ( multiply @ B @ C ) )
      | ( ( double_divide @ A @ identity )
       != ( double_divide @ C @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[14,23]) ).

thf(32,plain,
    ! [A: $i] :
      ( ( multiply @ identity @ A )
      = ( inverse @ ( inverse @ A ) ) ),
    inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( A )),bind(B,$thf( identity )),bind(C,$thf( A ))]]) ).

thf(270,plain,
    ! [A: $i] :
      ( ( double_divide @ ( inverse @ A ) @ ( inverse @ ( inverse @ A ) ) )
      = identity ),
    inference(rewrite,[status(thm)],[220,32]) ).

thf(9871,plain,
    ! [A: $i] :
      ( ( ( double_divide @ ( inverse @ identity ) @ ( inverse @ ( inverse @ A ) ) )
        = identity )
      | ( ( inverse @ ( double_divide @ identity @ ( inverse @ identity ) ) )
       != ( inverse @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[9821,270]) ).

thf(9872,plain,
    ( ( double_divide @ ( inverse @ identity ) @ ( inverse @ ( inverse @ ( double_divide @ identity @ ( inverse @ identity ) ) ) ) )
    = identity ),
    inference(pattern_uni,[status(thm)],[9871:[bind(A,$thf( double_divide @ identity @ ( inverse @ identity ) ))]]) ).

thf(11298,plain,
    ( ( double_divide @ ( inverse @ identity ) @ ( inverse @ ( inverse @ identity ) ) )
    = identity ),
    inference(rewrite,[status(thm)],[9872,9821]) ).

thf(101,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( double_divide @ ( double_divide @ identity @ B ) @ ( double_divide @ ( double_divide @ identity @ ( inverse @ identity ) ) @ ( double_divide @ B @ D ) ) )
        = C )
      | ( ( double_divide @ A @ ( inverse @ A ) )
       != ( double_divide @ C @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[16,74]) ).

thf(102,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ A ) @ ( double_divide @ ( double_divide @ identity @ ( inverse @ identity ) ) @ ( double_divide @ A @ ( inverse @ B ) ) ) )
      = B ),
    inference(pattern_uni,[status(thm)],[101:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( E )),bind(D,$thf( inverse @ E ))]]) ).

thf(121,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ A ) @ ( double_divide @ ( double_divide @ identity @ ( inverse @ identity ) ) @ ( double_divide @ A @ ( inverse @ B ) ) ) )
      = B ),
    inference(simp,[status(thm)],[102]) ).

thf(8208,plain,
    ! [B: $i,A: $i] :
      ( ( double_divide @ ( double_divide @ identity @ A ) @ ( double_divide @ identity @ ( double_divide @ A @ ( inverse @ B ) ) ) )
      = B ),
    inference(rewrite,[status(thm)],[121,442]) ).

thf(11354,plain,
    ! [B: $i,A: $i] :
      ( ( ( double_divide @ ( double_divide @ identity @ A ) @ ( double_divide @ identity @ identity ) )
        = B )
      | ( ( double_divide @ ( inverse @ identity ) @ ( inverse @ ( inverse @ identity ) ) )
       != ( double_divide @ A @ ( inverse @ B ) ) ) ),
    inference(paramod_ordered,[status(thm)],[11298,8208]) ).

thf(11355,plain,
    ( ( double_divide @ ( double_divide @ identity @ ( inverse @ identity ) ) @ ( double_divide @ identity @ identity ) )
    = ( inverse @ identity ) ),
    inference(pattern_uni,[status(thm)],[11354:[bind(A,$thf( inverse @ identity )),bind(B,$thf( inverse @ identity ))]]) ).

thf(17812,plain,
    ( ( double_divide @ identity @ ( inverse @ identity ) )
    = ( inverse @ identity ) ),
    inference(rewrite,[status(thm)],[11355,442,14]) ).

thf(17816,plain,
    ( ( inverse @ identity )
    = identity ),
    inference(rewrite,[status(thm)],[442,17812]) ).

thf(1,negated_conjecture,
    ( ( multiply @ ( inverse @ a1 ) @ a1 )
   != identity ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

thf(6,plain,
    ( ( multiply @ ( inverse @ a1 ) @ a1 )
   != identity ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(7,plain,
    ( ( multiply @ ( inverse @ a1 ) @ a1 )
   != identity ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(8,plain,
    ( ( multiply @ ( inverse @ a1 ) @ a1 )
   != identity ),
    inference(lifteq,[status(thm)],[7]) ).

thf(29,plain,
    ! [B: $i,A: $i] :
      ( ( ( inverse @ ( double_divide @ B @ A ) )
       != identity )
      | ( ( multiply @ A @ B )
       != ( multiply @ ( inverse @ a1 ) @ a1 ) ) ),
    inference(paramod_ordered,[status(thm)],[23,8]) ).

thf(30,plain,
    ( ( inverse @ ( double_divide @ a1 @ ( inverse @ a1 ) ) )
   != identity ),
    inference(pattern_uni,[status(thm)],[29:[bind(A,$thf( inverse @ a1 )),bind(B,$thf( a1 ))]]) ).

thf(36,plain,
    ( ( inverse @ identity )
   != identity ),
    inference(rewrite,[status(thm)],[30,16]) ).

thf(18290,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[17816,36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP493-1 : TPTP v8.2.0. Released v2.6.0.
% 0.11/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun May 19 06:11:39 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 1.18/1.10  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.51/1.27  % [INFO] 	 Parsing done (172ms). 
% 1.51/1.29  % [INFO] 	 Running in sequential loop mode. 
% 2.21/1.74  % [INFO] 	 nitpick registered as external prover. 
% 2.21/1.75  % [INFO] 	 Scanning for conjecture ... 
% 2.41/1.84  % [INFO] 	 Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ... 
% 2.41/1.88  % [INFO] 	 Axiom selection finished. Selected 4 axioms (removed 0 axioms). 
% 2.41/1.89  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.41/1.90  % [INFO] 	 Type checking passed. 
% 2.60/1.90  % [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 ... 
% 158.71/23.31  % [INFO] 	 Killing All external provers ... 
% 158.71/23.32  % Time passed: 22779ms (effective reasoning time: 22023ms)
% 158.71/23.33  % Axioms used in derivation (4): identity, multiply, inverse, single_axiom
% 158.71/23.33  % No. of inferences in proof: 67
% 158.71/23.33  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 22779 ms resp. 22023 ms w/o parsing
% 158.82/23.40  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 158.82/23.40  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------