%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : HEN002-5 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n011.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 21:34:16 EDT 2024

% Result   : Unsatisfiable 2.88s 1.81s
% Output   : Refutation 2.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   9 unt;   3 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     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(divide_type,type,
    divide: $i > $i > $i ).

thf(zero_type,type,
    zero: $i ).

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

thf(1,negated_conjecture,
    ( ( divide @ zero @ a )
   != zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zero_divide_anything_is_zero) ).

thf(7,plain,
    ( ( divide @ zero @ a )
   != zero ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(8,plain,
    ( ( divide @ zero @ a )
   != zero ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(9,plain,
    ( ( divide @ zero @ a )
   != zero ),
    inference(lifteq,[status(thm)],[8]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( divide @ zero @ A )
      = zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).

thf(14,plain,
    ! [A: $i] :
      ( ( divide @ zero @ A )
      = zero ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(15,plain,
    ! [A: $i] :
      ( ( divide @ zero @ A )
      = zero ),
    inference(lifteq,[status(thm)],[14]) ).

thf(21,plain,
    zero != zero,
    inference(rewrite,[status(thm)],[9,15]) ).

thf(22,plain,
    $false,
    inference(simp,[status(thm)],[21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : HEN002-5 : TPTP v8.2.0. Released v1.0.0.
% 0.18/0.19  % Command  : run_Leo-III %s %d
% 0.19/0.41  % Computer : n011.cluster.edu
% 0.19/0.41  % Model    : x86_64 x86_64
% 0.19/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41  % Memory   : 8042.1875MB
% 0.19/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41  % CPULimit : 300
% 0.19/0.41  % WCLimit  : 300
% 0.19/0.41  % DateTime : Sun May 19 22:51:24 EDT 2024
% 0.27/0.41  % CPUTime  : 
% 1.07/0.98  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.40/1.10  % [INFO] 	 Parsing done (121ms). 
% 1.40/1.11  % [INFO] 	 Running in sequential loop mode. 
% 1.90/1.38  % [INFO] 	 nitpick registered as external prover. 
% 1.90/1.39  % [INFO] 	 Scanning for conjecture ... 
% 1.90/1.45  % [INFO] 	 Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ... 
% 2.13/1.48  % [INFO] 	 Axiom selection finished. Selected 5 axioms (removed 0 axioms). 
% 2.18/1.48  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.18/1.49  % [INFO] 	 Type checking passed. 
% 2.18/1.49  % [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 ... 
% 2.84/1.80  % [INFO] 	 Killing All external provers ... 
% 2.88/1.81  % Time passed: 1219ms (effective reasoning time: 686ms)
% 2.88/1.81  % Axioms used in derivation (1): zero_is_smallest
% 2.88/1.81  % No. of inferences in proof: 9
% 2.88/1.81  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1219 ms resp. 686 ms w/o parsing
% 2.94/1.82  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.94/1.82  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------