%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN958+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n021.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 : Fri May 19 12:33:06 EDT 2023

% Result   : Theorem 2.42s 1.47s
% Output   : Refutation 2.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   23 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   41 (   9   ~;   3   |;   6   &;  20   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-1 aty)
%            Number of variables   :   14 (   0   ^;   8   !;   6   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $i > $o ).

thf(b_type,type,
    b: $i > $o ).

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

thf(1,conjecture,
    ( ( ? [A: $i] : ( a @ A )
      & ! [A: $i] : ( b @ A ) )
   => ? [A: $i] :
        ( ( a @ A )
        & ( b @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

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

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

thf(6,plain,
    a @ sk1,
    inference(cnf,[status(esa)],[3]) ).

thf(4,plain,
    ! [A: $i] :
      ( ~ ( a @ A )
      | ~ ( b @ A ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    ! [A: $i] :
      ( ~ ( a @ A )
      | ~ ( b @ A ) ),
    inference(simp,[status(thm)],[4]) ).

thf(5,plain,
    ! [A: $i] : ( b @ A ),
    inference(cnf,[status(esa)],[3]) ).

thf(8,plain,
    ! [A: $i] :
      ( ~ ( a @ A )
      | ~ $true ),
    inference(rewrite,[status(thm)],[7,5]) ).

thf(9,plain,
    ! [A: $i] :
      ~ ( a @ A ),
    inference(simp,[status(thm)],[8]) ).

thf(10,plain,
    $false,
    inference(rewrite,[status(thm)],[6,9]) ).

thf(11,plain,
    $false,
    inference(simp,[status(thm)],[10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN958+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu May 18 19:29:13 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.96/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.17/0.96  % [INFO] 	 Parsing done (103ms). 
% 1.17/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.57/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.57/1.16  % [INFO] 	 cvc4 registered as external prover. 
% 1.66/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.66/1.21  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.66/1.22  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.66/1.22  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.66/1.23  % [INFO] 	 Type checking passed. 
% 1.86/1.23  % [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 ... 
% 2.42/1.47  % [INFO] 	 Killing All external provers ... 
% 2.42/1.47  % Time passed: 936ms (effective reasoning time: 499ms)
% 2.42/1.47  % 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)>
% 2.42/1.47  % Axioms used in derivation (0): 
% 2.42/1.47  % No. of inferences in proof: 11
% 2.42/1.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 936 ms resp. 499 ms w/o parsing
% 2.42/1.49  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.42/1.49  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------