%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : SWV835-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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 10:59:01 EDT 2024

% Result   : Unsatisfiable 22.27s 5.12s
% Output   : Refutation 22.27s
% 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 :   39 (   4   ~;   0   |;   0   &;  35   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tc_fun_type,type,
    tc_fun: $i > $i > $i ).

thf(tc_Hoare__Mirabelle_Otriple_type,type,
    tc_Hoare__Mirabelle_Otriple: $i > $i ).

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

thf(tc_bool_type,type,
    tc_bool: $i ).

thf(v_x_type,type,
    v_x: $i ).

thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
    c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).

thf(c_Orderings_Obot__class_Obot_type,type,
    c_Orderings_Obot__class_Obot: $i > $i ).

thf(2,negated_conjecture,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ v_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_bool ) ) @ t_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(603,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ v_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_bool ) ) @ t_a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(604,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ v_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_bool ) ) @ t_a ),
    inference(polarity_switch,[status(thm)],[603]) ).

thf(487,axiom,
    ! [B: $i,A: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ B ) @ tc_bool ) ) @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty_0) ).

thf(1724,plain,
    ! [B: $i,A: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ B ) @ tc_bool ) ) @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).

thf(3900,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[604,1724]) ).

thf(3901,plain,
    $false,
    inference(simp,[status(thm)],[3900]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWV835-1 : TPTP v8.1.2. Released v4.1.0.
% 0.18/0.18  % Command  : run_Leo-III %s %d
% 0.18/0.40  % Computer : n022.cluster.edu
% 0.18/0.40  % Model    : x86_64 x86_64
% 0.18/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40  % Memory   : 8042.1875MB
% 0.18/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40  % CPULimit : 300
% 0.18/0.40  % WCLimit  : 300
% 0.18/0.40  % DateTime : Tue May  7 00:18:39 EDT 2024
% 0.18/0.40  % CPUTime  : 
% 1.06/0.96  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.91/1.20  % [INFO] 	 Parsing done (244ms). 
% 1.91/1.21  % [INFO] 	 Running in sequential loop mode. 
% 2.41/1.44  % [INFO] 	 nitpick registered as external prover. 
% 2.41/1.44  % [INFO] 	 Scanning for conjecture ... 
% 2.91/1.59  % [INFO] 	 Found a conjecture and 606 axioms. Running axiom selection ... 
% 3.48/1.72  % [INFO] 	 Axiom selection finished. Selected 599 axioms (removed 7 axioms). 
% 4.13/1.90  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 4.43/1.92  % [INFO] 	 Type checking passed. 
% 4.43/1.92  % [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 ... 
% 22.12/5.11  % [INFO] 	 Killing All external provers ... 
% 22.27/5.11  % Time passed: 4524ms (effective reasoning time: 3893ms)
% 22.27/5.12  % 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)>
% 22.27/5.12  % Axioms used in derivation (1): cls_empty_0
% 22.27/5.12  % No. of inferences in proof: 7
% 22.27/5.12  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4524 ms resp. 3893 ms w/o parsing
% 22.27/5.16  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.27/5.16  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------