%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWC289-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n027.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 21 04:34:47 EDT 2024

% Result   : Unsatisfiable 5.16s 2.38s
% Output   : Refutation 5.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :   14 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   0   &;   7   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk1_type,type,
    sk1: $i ).

thf(sk3_type,type,
    sk3: $i ).

thf(strictorderedP_type,type,
    strictorderedP: $i > $o ).

thf(7,negated_conjecture,
    strictorderedP @ sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

thf(198,plain,
    strictorderedP @ sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(8,negated_conjecture,
    ~ ( strictorderedP @ sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

thf(200,plain,
    ~ ( strictorderedP @ sk1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(204,plain,
    ~ ( strictorderedP @ sk1 ),
    inference(polarity_switch,[status(thm)],[200]) ).

thf(627,plain,
    ( ( strictorderedP @ sk3 )
   != ( strictorderedP @ sk1 ) ),
    inference(paramod_ordered,[status(thm)],[198,204]) ).

thf(628,plain,
    sk3 != sk1,
    inference(simp,[status(thm)],[627]) ).

thf(6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

thf(196,plain,
    sk1 = sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(202,plain,
    sk3 = sk1,
    inference(lifteq,[status(thm)],[196]) ).

thf(632,plain,
    sk1 != sk1,
    inference(rewrite,[status(thm)],[628,202]) ).

thf(633,plain,
    $false,
    inference(simp,[status(thm)],[632]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWC289-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun May 19 03:28:08 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.97/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.31/1.05  % [INFO] 	 Parsing done (163ms). 
% 1.31/1.06  % [INFO] 	 Running in sequential loop mode. 
% 1.83/1.28  % [INFO] 	 nitpick registered as external prover. 
% 1.83/1.29  % [INFO] 	 Scanning for conjecture ... 
% 2.09/1.37  % [INFO] 	 Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ... 
% 2.22/1.44  % [INFO] 	 Axiom selection finished. Selected 185 axioms (removed 0 axioms). 
% 2.78/1.54  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.78/1.56  % [INFO] 	 Type checking passed. 
% 2.78/1.56  % [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 ... 
% 5.16/2.37  % [INFO] 	 Killing All external provers ... 
% 5.16/2.38  % Time passed: 1871ms (effective reasoning time: 1313ms)
% 5.16/2.38  % Axioms used in derivation (0): 
% 5.16/2.38  % No. of inferences in proof: 12
% 5.16/2.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1871 ms resp. 1313 ms w/o parsing
% 5.46/2.39  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.46/2.39  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------