%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO215^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n020.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 08:59:37 EDT 2024

% Result   : Theorem 2.54s 1.91s
% Output   : Refutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   16 (  15 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  16   ~;   1   |;   0   &;   0   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :   19 (   0   ^   9   !;  10   ?;  19   :)

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

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

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

thf(1,conjecture,
    ( ? [A: $i,B: $i] : ( A != B )
   => ! [A: $i] :
      ? [B: $i] : ( B != A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM26) ).

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

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

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

thf(5,plain,
    ! [A: $i] : ( A = sk3 ),
    inference(cnf,[status(esa)],[4]) ).

thf(10,plain,
    ! [A: $i] : ( A = sk3 ),
    inference(lifteq,[status(thm)],[5]) ).

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

thf(11,plain,
    sk2 != sk1,
    inference(lifteq,[status(thm)],[6]) ).

thf(12,plain,
    ! [A: $i] :
      ( ( sk3 != sk1 )
      | ( A != sk2 ) ),
    inference(paramod_ordered,[status(thm)],[10,11]) ).

thf(13,plain,
    sk3 != sk1,
    inference(pattern_uni,[status(thm)],[12:[bind(A,$thf( sk2 ))]]) ).

thf(20,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[13,10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem  : SYO215^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.11  % Command  : run_Leo-III %s %d
% 0.10/0.31  % Computer : n020.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon May 20 09:01:09 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.87/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.24/1.06  % [INFO] 	 Parsing done (144ms). 
% 1.24/1.07  % [INFO] 	 Running in sequential loop mode. 
% 1.66/1.42  % [INFO] 	 nitpick registered as external prover. 
% 1.77/1.43  % [INFO] 	 Scanning for conjecture ... 
% 1.86/1.50  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.97/1.53  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.97/1.53  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.97/1.53  % [INFO] 	 Type checking passed. 
% 1.97/1.54  % [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 ... 
% 2.22/1.67  % [INFO] 	 [Domain constraints] Detected constraint on $i 
% 2.22/1.68  % [INFO] 	 [Domain constraints] dom($i) ⊆ {sk3} 
% 2.54/1.86  % [INFO] 	 GaveUp with current strategy, trying again with another strategy ... 
% 2.54/1.90  % [INFO] 	 Killing All external provers ... 
% 2.54/1.90  % Time passed: 1449ms (effective reasoning time: 824ms)
% 2.54/1.90  % Solved by strategy<name(funcspec),share(0.5),primSubst(2),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(true), domConstr(0),specialInstances(-1),restrictUniAttempts(false),termOrdering(none)>
% 2.54/1.91  % Axioms used in derivation (0): 
% 2.54/1.91  % No. of inferences in proof: 11
% 2.54/1.91  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1449 ms resp. 824 ms w/o parsing
% 2.70/1.94  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.70/1.94  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------