%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : SET159^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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 : Tue May  7 10:49:20 EDT 2024

% Result   : Theorem 2.32s 1.70s
% Output   : Refutation 2.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :    4 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   22 (   2   ~;   8   |;   0   &;  12   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   4   ^   6   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(1,conjecture,
    ! [A: a > $o,B: a > $o,C: a > $o] :
      ( ( ^ [D: a] :
            ( ( A @ D )
            | ( B @ D )
            | ( C @ D ) ) )
      = ( ^ [D: a] :
            ( ( A @ D )
            | ( B @ D )
            | ( C @ D ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_64_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: a > $o,B: a > $o,C: a > $o] :
        ( ( ^ [D: a] :
              ( ( A @ D )
              | ( B @ D )
              | ( C @ D ) ) )
        = ( ^ [D: a] :
              ( ( A @ D )
              | ( B @ D )
              | ( C @ D ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    $false,
    inference(simp,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET159^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : run_Leo-III %s %d
% 0.12/0.32  % Computer : n022.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Mon May  6 20:36:54 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.93/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.30/1.09  % [INFO] 	 Parsing done (173ms). 
% 1.30/1.10  % [INFO] 	 Running in sequential loop mode. 
% 1.69/1.44  % [INFO] 	 nitpick registered as external prover. 
% 1.69/1.45  % [INFO] 	 Scanning for conjecture ... 
% 1.97/1.52  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 2.02/1.55  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.02/1.55  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.02/1.55  % [INFO] 	 Type checking passed. 
% 2.02/1.56  % [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 ... 
% 2.32/1.69  % [INFO] 	 Killing All external provers ... 
% 2.32/1.69  % Time passed: 1226ms (effective reasoning time: 587ms)
% 2.32/1.69  % 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)>
% 2.32/1.70  % Axioms used in derivation (0): 
% 2.32/1.70  % No. of inferences in proof: 4
% 2.32/1.70  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1226 ms resp. 587 ms w/o parsing
% 2.32/1.74  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.32/1.74  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------