%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LAT265-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n010.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 11:27:11 EDT 2023

% Result   : Unsatisfiable 2.21s 1.42s
% Output   : Refutation 2.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   38 (   3   ~;   0   |;   0   &;  35   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_in_type,type,
    c_in: $i > $i > $i > $o ).

thf(c_Tarski_Odual_type,type,
    c_Tarski_Odual: $i > $i > $i ).

thf(v_cl_type,type,
    v_cl: $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(c_Tarski_OCompleteLattice_type,type,
    c_Tarski_OCompleteLattice: $i ).

thf(tc_Tarski_Opotype_Opotype__ext__type_type,type,
    tc_Tarski_Opotype_Opotype__ext__type: $i > $i > $i ).

thf(tc_Product__Type_Ounit_type,type,
    tc_Product__Type_Ounit: $i ).

thf(2,axiom,
    c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

thf(5,plain,
    c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(1,negated_conjecture,
    ~ ( c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(3,plain,
    ~ ( c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(4,plain,
    ~ ( c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(6,plain,
    $false,
    inference(rewrite,[status(thm)],[5,4]) ).

thf(7,plain,
    $false,
    inference(simp,[status(thm)],[6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT265-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 14:25:43 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.83/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.23/0.94  % [INFO] 	 Parsing done (96ms). 
% 1.23/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.48/1.14  % [INFO] 	 eprover registered as external prover. 
% 1.48/1.14  % [INFO] 	 cvc4 registered as external prover. 
% 1.48/1.15  % [INFO] 	 Scanning for conjecture ... 
% 1.69/1.19  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.78/1.21  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.78/1.21  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.78/1.22  % [INFO] 	 Type checking passed. 
% 1.78/1.22  % [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 ... 
% 2.21/1.41  % [INFO] 	 Killing All external provers ... 
% 2.21/1.41  % Time passed: 890ms (effective reasoning time: 458ms)
% 2.21/1.41  % 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)>
% 2.21/1.42  % Axioms used in derivation (1): cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0
% 2.21/1.42  % No. of inferences in proof: 7
% 2.21/1.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 890 ms resp. 458 ms w/o parsing
% 2.21/1.43  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.21/1.43  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------