%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LCL853-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n010.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 : Fri May 19 11:32:22 EDT 2023

% Result   : Unsatisfiable 2.99s 1.63s
% Output   : Refutation 2.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   3   ~;   0   |;   0   &;   5   @)
%                                         (   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     :    3 (   2 usr;   2 con; 0-1 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_InductTermi_OIT_type,type,
    c_InductTermi_OIT: $i > $o ).

thf(v_s_____type,type,
    v_s____: $i ).

thf(25,axiom,
    c_InductTermi_OIT @ v_s____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_App_I2_J_0) ).

thf(99,plain,
    c_InductTermi_OIT @ v_s____,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(1,negated_conjecture,
    ~ ( c_InductTermi_OIT @ v_s____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(31,plain,
    ~ ( c_InductTermi_OIT @ v_s____ ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(32,plain,
    ~ ( c_InductTermi_OIT @ v_s____ ),
    inference(polarity_switch,[status(thm)],[31]) ).

thf(108,plain,
    $false,
    inference(rewrite,[status(thm)],[99,32]) ).

thf(109,plain,
    $false,
    inference(simp,[status(thm)],[108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LCL853-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 16:06:13 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.88/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.20/0.97  % [INFO] 	 Parsing done (141ms). 
% 1.20/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.62/1.17  % [INFO] 	 eprover registered as external prover. 
% 1.62/1.17  % [INFO] 	 cvc4 registered as external prover. 
% 1.62/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.84/1.22  % [INFO] 	 Found a conjecture and 46 axioms. Running axiom selection ... 
% 1.95/1.26  % [INFO] 	 Axiom selection finished. Selected 29 axioms (removed 17 axioms). 
% 1.95/1.29  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.95/1.29  % [INFO] 	 Type checking passed. 
% 1.95/1.29  % [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 ... 
% 2.99/1.63  % [INFO] 	 Killing All external provers ... 
% 2.99/1.63  % Time passed: 1119ms (effective reasoning time: 646ms)
% 2.99/1.63  % 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)>
% 2.99/1.63  % Axioms used in derivation (1): cls_App_I2_J_0
% 2.99/1.63  % No. of inferences in proof: 7
% 2.99/1.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1119 ms resp. 646 ms w/o parsing
% 2.99/1.65  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.99/1.65  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------