%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : GRP137-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n007.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 11:13:18 EDT 2023

% Result   : Unsatisfiable 2.70s 1.57s
% Output   : Refutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :   12 (  11 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   16 (   4   ~;   0   |;   0   &;  12   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

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

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

thf(greatest_lower_bound_type,type,
    greatest_lower_bound: $i > $i > $i ).

thf(16,axiom,
    ( ( greatest_lower_bound @ a @ b )
    = b ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_antisymb_2) ).

thf(48,plain,
    ( ( greatest_lower_bound @ a @ b )
    = b ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(49,plain,
    ( ( greatest_lower_bound @ a @ b )
    = b ),
    inference(lifteq,[status(thm)],[48]) ).

thf(15,axiom,
    ( ( greatest_lower_bound @ a @ b )
    = a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_antisymb_1) ).

thf(46,plain,
    ( ( greatest_lower_bound @ a @ b )
    = a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(47,plain,
    ( ( greatest_lower_bound @ a @ b )
    = a ),
    inference(lifteq,[status(thm)],[46]) ).

thf(50,plain,
    b = a,
    inference(rewrite,[status(thm)],[49,47]) ).

thf(1,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_antisymb) ).

thf(17,plain,
    a != b,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(18,plain,
    a != b,
    inference(polarity_switch,[status(thm)],[17]) ).

thf(19,plain,
    b != a,
    inference(lifteq,[status(thm)],[18]) ).

thf(51,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[50,19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP137-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n007.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 : Fri May 19 01:37:40 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.92/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.21/0.95  % [INFO] 	 Parsing done (115ms). 
% 1.21/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.64/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.64/1.16  % [INFO] 	 cvc4 registered as external prover. 
% 1.64/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.73/1.21  % [INFO] 	 Found a conjecture and 17 axioms. Running axiom selection ... 
% 1.89/1.24  % [INFO] 	 Axiom selection finished. Selected 15 axioms (removed 2 axioms). 
% 1.98/1.26  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.98/1.26  % [INFO] 	 Type checking passed. 
% 1.98/1.27  % [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 ... 
% 2.70/1.56  % [INFO] 	 Killing All external provers ... 
% 2.70/1.57  % Time passed: 1048ms (effective reasoning time: 599ms)
% 2.70/1.57  % 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)>
% 2.70/1.57  % Axioms used in derivation (2): ax_antisymb_2, ax_antisymb_1
% 2.70/1.57  % No. of inferences in proof: 12
% 2.70/1.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1048 ms resp. 599 ms w/o parsing
% 2.70/1.58  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.70/1.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------