%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : SYN396+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n006.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 11:01:50 EDT 2024

% Result   : Theorem 2.77s 1.75s
% Output   : Refutation 2.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   32 (   2 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   66 (  24   ~;   6   |;   2   &;  28   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^  16   !;   4   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $o ).

thf(sk1_type,type,
    sk1: $i ).

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

thf(1,conjecture,
    ( ~ ! [A: $i] : ( f @ A )
  <=> ? [A: $i] :
        ~ ( f @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish203) ).

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

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

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

thf(6,plain,
    ! [A: $i] :
      ( ~ ( f @ sk1 )
      | ( f @ A ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(9,plain,
    ! [A: $i] :
      ( ~ ( f @ sk1 )
      | ( f @ A ) ),
    inference(simp,[status(thm)],[6]) ).

thf(5,plain,
    ( ~ ( f @ sk1 )
    | ~ ( f @ sk2 ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(24,plain,
    ! [A: $i] :
      ( ~ ( f @ sk1 )
      | ( ( f @ A )
       != ( f @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[9,5]) ).

thf(25,plain,
    ~ ( f @ sk1 ),
    inference(pattern_uni,[status(thm)],[24:[bind(A,$thf( sk2 ))]]) ).

thf(8,plain,
    ! [B: $i,A: $i] :
      ( ( f @ A )
      | ( f @ B ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(42,plain,
    ! [B: $i,A: $i] :
      ( ( f @ A )
      | ( ( f @ B )
       != ( f @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[8,25]) ).

thf(43,plain,
    ! [A: $i] : ( f @ A ),
    inference(pattern_uni,[status(thm)],[42:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).

thf(51,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[25,43]) ).

thf(52,plain,
    $false,
    inference(simp,[status(thm)],[51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SYN396+1 : TPTP v8.1.2. Released v2.0.0.
% 0.05/0.11  % Command  : run_Leo-III %s %d
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Mon May  6 21:02:24 EDT 2024
% 0.11/0.31  % CPUTime  : 
% 0.86/0.77  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.02/0.89  % [INFO] 	 Parsing done (115ms). 
% 1.02/0.90  % [INFO] 	 Running in sequential loop mode. 
% 1.58/1.16  % [INFO] 	 nitpick registered as external prover. 
% 1.58/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.58/1.22  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.73/1.24  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.73/1.24  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.73/1.25  % [INFO] 	 Type checking passed. 
% 1.73/1.25  % [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 ... 
% 2.77/1.75  % [INFO] 	 Killing All external provers ... 
% 2.77/1.75  % Time passed: 1302ms (effective reasoning time: 847ms)
% 2.77/1.75  % 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)>
% 2.77/1.75  % Axioms used in derivation (0): 
% 2.77/1.75  % No. of inferences in proof: 14
% 2.77/1.75  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1302 ms resp. 847 ms w/o parsing
% 2.90/1.82  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.90/1.82  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------