%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : TOP004-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n023.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 09:17:37 EDT 2024

% Result   : Unsatisfiable 2.99s 1.80s
% Output   : Refutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   25 (   4   ~;   0   |;   0   &;  21   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^   8   !;   0   ?;   8   :)

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

thf(element_of_collection_type,type,
    element_of_collection: $i > $i > $o ).

thf(top_of_basis_type,type,
    top_of_basis: $i > $i ).

thf(intersection_of_sets_type,type,
    intersection_of_sets: $i > $i > $i ).

thf(4,negated_conjecture,
    ! [B: $i,A: $i] :
      ~ ( element_of_collection @ ( intersection_of_sets @ A @ B ) @ ( top_of_basis @ f ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1d_4) ).

thf(25,plain,
    ! [B: $i,A: $i] :
      ~ ( element_of_collection @ ( intersection_of_sets @ A @ B ) @ ( top_of_basis @ f ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(26,plain,
    ! [B: $i,A: $i] :
      ~ ( element_of_collection @ ( intersection_of_sets @ A @ B ) @ ( top_of_basis @ f ) ),
    inference(polarity_switch,[status(thm)],[25]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( element_of_collection @ A @ ( top_of_basis @ f ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1d_2) ).

thf(23,plain,
    ! [A: $i] : ( element_of_collection @ A @ ( top_of_basis @ f ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(61,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[26,23]) ).

thf(62,plain,
    $false,
    inference(simp,[status(thm)],[61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : TOP004-2 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.10  % Command  : run_Leo-III %s %d
% 0.09/0.29  % Computer : n023.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Sat May 18 11:16:39 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.82/0.82  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.13/0.94  % [INFO] 	 Parsing done (126ms). 
% 1.13/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.58/1.19  % [INFO] 	 nitpick registered as external prover. 
% 1.58/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.73/1.26  % [INFO] 	 Found a conjecture (or negated_conjecture) and 17 axioms. Running axiom selection ... 
% 1.73/1.31  % [INFO] 	 Axiom selection finished. Selected 17 axioms (removed 0 axioms). 
% 1.96/1.34  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.96/1.34  % [INFO] 	 Type checking passed. 
% 1.96/1.35  % [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 ... 
% 2.99/1.79  % [INFO] 	 Killing All external provers ... 
% 2.99/1.80  % Time passed: 1396ms (effective reasoning time: 840ms)
% 2.99/1.80  % Axioms used in derivation (0): 
% 2.99/1.80  % No. of inferences in proof: 7
% 2.99/1.80  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1396 ms resp. 840 ms w/o parsing
% 3.05/1.86  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.05/1.86  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------