%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO299^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n028.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 21 08:59:50 EDT 2024

% Result   : Theorem 2.31s 1.49s
% Output   : Refutation 2.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  11 unt;   3 typ;   0 def)
%            Number of atoms       :   56 (  32 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :   18 (  12   ~;   2   |;   0   &;   0   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^  18   !;   5   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk1_type,type,
    sk1: $o ).

thf(sk2_type,type,
    sk2: $o ).

thf(sk3_type,type,
    sk3: $o ).

thf(1,conjecture,
    ! [A: $o,B: $o,C: $o] :
    ? [D: $o] :
      ( ( ( A = B )
        = C )
     => ( A
        = ( B = D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM51) ).

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

thf(3,plain,
    ~ ! [A: $o,B: $o,C: $o] :
      ? [D: $o] :
        ( ( ( A = B )
          = C )
       => ( A
          = ( B = D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ~ ! [A: $o,B: $o] :
        ( ? [C: $o] :
            ( ( A = B )
            = C )
       => ? [C: $o] :
            ( A
            = ( B = C ) ) ),
    inference(miniscope,[status(thm)],[3]) ).

thf(5,plain,
    ! [A: $o] :
      ( sk1
     != ( sk2 = A ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(7,plain,
    ! [A: $o] :
      ( sk1
     != ( sk2 = A ) ),
    inference(lifteq,[status(thm)],[5]) ).

thf(13,plain,
    ! [A: $o] :
      ( ~ sk1
      | ( sk2 != A ) ),
    inference(bool_ext,[status(thm)],[7]) ).

thf(15,plain,
    ! [A: $o] :
      ( ( sk2 != A )
      | ~ sk1 ),
    inference(lifteq,[status(thm)],[13]) ).

thf(17,plain,
    ~ sk1,
    inference(simp,[status(thm)],[15]) ).

thf(18,plain,
    ! [A: $o] : ( sk2 = A ),
    inference(rewrite,[status(thm)],[7,17]) ).

thf(21,plain,
    ! [A: $o] : ( sk2 = A ),
    inference(lifteq,[status(thm)],[18]) ).

thf(6,plain,
    ( ( sk1 = sk2 )
    = sk3 ),
    inference(cnf,[status(esa)],[4]) ).

thf(8,plain,
    ( sk3
    = ( sk1 = sk2 ) ),
    inference(lifteq,[status(thm)],[6]) ).

thf(19,plain,
    ( sk3
    = ( $false = sk2 ) ),
    inference(rewrite,[status(thm)],[8,17]) ).

thf(20,plain,
    ( sk3 = ~ sk2 ),
    inference(simp,[status(thm)],[19]) ).

thf(37,plain,
    ! [A: $o] : ( A != sk3 ),
    inference(paramod_ordered,[status(thm)],[21,20]) ).

thf(38,plain,
    $false,
    inference(pattern_uni,[status(thm)],[37:[bind(A,$thf( sk3 ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO299^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon May 20 08:48:39 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.93/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.16/0.96  % [INFO] 	 Parsing done (90ms). 
% 1.22/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.56/1.16  % [INFO] 	 nitpick registered as external prover. 
% 1.56/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.70/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.70/1.23  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.70/1.23  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.70/1.23  % [INFO] 	 Type checking passed. 
% 1.70/1.23  % [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 ... 
% 2.31/1.49  % [INFO] 	 Killing All external provers ... 
% 2.31/1.49  % Time passed: 956ms (effective reasoning time: 521ms)
% 2.31/1.49  % 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)>
% 2.31/1.49  % Axioms used in derivation (0): 
% 2.31/1.49  % No. of inferences in proof: 17
% 2.31/1.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 956 ms resp. 521 ms w/o parsing
% 2.53/1.55  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.53/1.55  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------