%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : GRP160-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n013.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 : Mon May 20 21:03:26 EDT 2024

% Result   : Unsatisfiable 2.95s 1.64s
% Output   : Refutation 2.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   9 unt;   2 typ;   0 def)
%            Number of atoms       :    9 (   8 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   19 (   5   ~;   0   |;   0   &;  14   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(least_upper_bound_type,type,
    least_upper_bound: $i > $i > $i ).

thf(a_type,type,
    a: $i ).

thf(1,negated_conjecture,
    ( ( least_upper_bound @ a @ a )
   != a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_refla) ).

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

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

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

thf(11,axiom,
    ! [A: $i] :
      ( ( least_upper_bound @ A @ A )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_lub) ).

thf(38,plain,
    ! [A: $i] :
      ( ( least_upper_bound @ A @ A )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(39,plain,
    ! [A: $i] :
      ( ( least_upper_bound @ A @ A )
      = A ),
    inference(lifteq,[status(thm)],[38]) ).

thf(56,plain,
    a != a,
    inference(rewrite,[status(thm)],[19,39]) ).

thf(57,plain,
    $false,
    inference(simp,[status(thm)],[56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP160-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.16/0.16  % Command  : run_Leo-III %s %d
% 0.17/0.37  % Computer : n013.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Sun May 19 05:23:09 EDT 2024
% 0.17/0.37  % CPUTime  : 
% 0.97/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.16/0.97  % [INFO] 	 Parsing done (104ms). 
% 1.31/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.70/1.18  % [INFO] 	 nitpick registered as external prover. 
% 1.70/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.70/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ... 
% 1.94/1.26  % [INFO] 	 Axiom selection finished. Selected 15 axioms (removed 0 axioms). 
% 1.94/1.28  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.94/1.28  % [INFO] 	 Type checking passed. 
% 1.94/1.28  % [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 ... 
% 2.72/1.60  % [INFO] 	 Killing All external provers ... 
% 2.72/1.60  % Time passed: 1063ms (effective reasoning time: 612ms)
% 2.95/1.64  % Axioms used in derivation (1): idempotence_of_lub
% 2.95/1.64  % No. of inferences in proof: 9
% 2.95/1.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1063 ms resp. 612 ms w/o parsing
% 2.95/1.65  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.95/1.65  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------