%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SYN075+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n024.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 Jun 24 19:46:05 EDT 2024

% Result   : Theorem 2.71s 1.60s
% Output   : Refutation 2.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (  16 equ;   0 cnn)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   40 (   2   ~;   0   |;   7   &;  18   @)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   1 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^  11   !;  11   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_f_type,type,
    big_f: $i > $i > $o ).

thf(1,conjecture,
    ? [A: $i] :
    ! [B: $i] :
      ( ? [C: $i] :
        ! [D: $i] :
          ( ( big_f @ D @ B )
        <=> ( D = C ) )
    <=> ( B = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52) ).

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

thf(4,plain,
    ~ ? [A: $i] :
      ! [B: $i] :
        ( ( ? [C: $i] :
            ! [D: $i] :
              ( ( ( big_f @ D @ B )
               => ( D = C ) )
              & ( ( D = C )
               => ( big_f @ D @ B ) ) )
         => ( B = A ) )
        & ( ( B = A )
         => ? [C: $i] :
            ! [D: $i] :
              ( ( ( big_f @ D @ B )
               => ( D = C ) )
              & ( ( D = C )
               => ( big_f @ D @ B ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ? [A: $i,B: $i] :
    ! [C: $i,D: $i] :
      ( ( big_f @ C @ D )
    <=> ( ( C = A )
        & ( D = B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52_1) ).

thf(26,plain,
    ? [A: $i,B: $i] :
    ! [C: $i,D: $i] :
      ( ( ( big_f @ C @ D )
       => ( ( C = A )
          & ( D = B ) ) )
      & ( ( ( C = A )
          & ( D = B ) )
       => ( big_f @ C @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(51,plain,
    $false,
    inference(e,[status(thm)],[4,26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN075+1 : TPTP v8.2.0. Released v2.0.0.
% 0.03/0.11  % Command  : run_Leo-III %s %d THM
% 0.10/0.32  % Computer : n024.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Sun Jun 23 23:17:25 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.97/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.19/0.94  % [INFO] 	 Parsing done (90ms). 
% 1.22/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.46/1.15  % [INFO] 	 eprover registered as external prover. 
% 1.46/1.15  % [INFO] 	 Scanning for conjecture ... 
% 1.67/1.20  % [INFO] 	 Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ... 
% 1.76/1.22  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.76/1.22  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.76/1.22  % [INFO] 	 Type checking passed. 
% 1.76/1.23  % [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 ... 
% 2.71/1.60  % External prover 'e' found a proof!
% 2.71/1.60  % [INFO] 	 Killing All external provers ... 
% 2.71/1.60  % Time passed: 1087ms (effective reasoning time: 650ms)
% 2.71/1.60  % 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)>
% 2.71/1.60  % Axioms used in derivation (1): pel52_1
% 2.71/1.60  % No. of inferences in proof: 6
% 2.71/1.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1087 ms resp. 650 ms w/o parsing
% 2.71/1.62  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.71/1.62  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------