%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : SWC262-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n029.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 10:56:32 EDT 2024

% Result   : Unsatisfiable 6.85s 3.07s
% Output   : Refutation 6.85s
% 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(totalorderedP_type,type,
    totalorderedP: $i > $o ).

thf(7,negated_conjecture,
    totalorderedP @ sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

thf(8,negated_conjecture,
    ~ ( totalorderedP @ sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

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

thf(627,plain,
    ( ( totalorderedP @ sk3 )
   != ( totalorderedP @ 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/sandbox2/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
% 0.03/0.11  % Problem  : SWC262-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : run_Leo-III %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon May  6 23:45:24 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.94/0.92  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.69/1.19  % [INFO] 	 Parsing done (272ms). 
% 1.69/1.21  % [INFO] 	 Running in sequential loop mode. 
% 2.58/1.55  % [INFO] 	 nitpick registered as external prover. 
% 2.58/1.56  % [INFO] 	 Scanning for conjecture ... 
% 2.85/1.69  % [INFO] 	 Found a conjecture and 185 axioms. Running axiom selection ... 
% 3.18/1.80  % [INFO] 	 Axiom selection finished. Selected 185 axioms (removed 0 axioms). 
% 3.60/1.94  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.60/1.96  % [INFO] 	 Type checking passed. 
% 3.60/1.96  % [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 ... 
% 6.85/3.07  % [INFO] 	 Killing All external provers ... 
% 6.85/3.07  % Time passed: 2594ms (effective reasoning time: 1857ms)
% 6.85/3.07  % 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)>
% 6.85/3.07  % Axioms used in derivation (0): 
% 6.85/3.07  % No. of inferences in proof: 12
% 6.85/3.07  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2594 ms resp. 1857 ms w/o parsing
% 6.85/3.09  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.85/3.09  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------