%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWC141-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n019.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 04:34:11 EDT 2024

% Result   : Unsatisfiable 6.08s 2.82s
% Output   : Refutation 6.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  11 unt;   4 typ;   0 def)
%            Number of atoms       :   11 (   3 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   16 (   4   ~;   0   |;   0   &;  12   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk2_type,type,
    sk2: $i ).

thf(sk4_type,type,
    sk4: $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(nil_type,type,
    nil: $i ).

thf(7,negated_conjecture,
    neq @ sk2 @ nil,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

thf(198,plain,
    neq @ sk2 @ nil,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(8,negated_conjecture,
    ~ ( neq @ sk4 @ nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

thf(200,plain,
    ~ ( neq @ sk4 @ nil ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(204,plain,
    ~ ( neq @ sk4 @ nil ),
    inference(polarity_switch,[status(thm)],[200]) ).

thf(5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

thf(194,plain,
    sk2 = sk4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(203,plain,
    sk4 = sk2,
    inference(lifteq,[status(thm)],[194]) ).

thf(629,plain,
    ~ ( neq @ sk2 @ nil ),
    inference(rewrite,[status(thm)],[204,203]) ).

thf(630,plain,
    $false,
    inference(rewrite,[status(thm)],[198,629]) ).

thf(631,plain,
    $false,
    inference(simp,[status(thm)],[630]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SWC141-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_Leo-III %s %d
% 0.12/0.32  % Computer : n019.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sun May 19 03:43:39 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.87/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.16/1.03  % [INFO] 	 Parsing done (182ms). 
% 1.43/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.74/1.30  % [INFO] 	 nitpick registered as external prover. 
% 1.74/1.31  % [INFO] 	 Scanning for conjecture ... 
% 2.03/1.41  % [INFO] 	 Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ... 
% 2.26/1.53  % [INFO] 	 Axiom selection finished. Selected 185 axioms (removed 0 axioms). 
% 2.79/1.65  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.79/1.67  % [INFO] 	 Type checking passed. 
% 2.79/1.67  % [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 ... 
% 5.88/2.81  % [INFO] 	 Killing All external provers ... 
% 6.08/2.82  % Time passed: 2334ms (effective reasoning time: 1773ms)
% 6.08/2.82  % Axioms used in derivation (0): 
% 6.08/2.82  % No. of inferences in proof: 11
% 6.08/2.82  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2334 ms resp. 1773 ms w/o parsing
% 6.08/2.83  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.08/2.84  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------