%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LCL440-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : Fri May 19 11:30:25 EDT 2023

% Result   : Unsatisfiable 2.49s 1.46s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   49 (   4   ~;   0   |;   0   &;  45   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_in_type,type,
    c_in: $i > $i > $i > $o ).

thf(c_PropLog_Opl_Oop_A_N_62_type,type,
    c_PropLog_Opl_Oop_A_N_62: $i > $i > $i > $i ).

thf(c_PropLog_Opl_Ofalse_type,type,
    c_PropLog_Opl_Ofalse: $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(c_PropLog_Othms_type,type,
    c_PropLog_Othms: $i > $i > $i ).

thf(c_emptyset_type,type,
    c_emptyset: $i ).

thf(tc_PropLog_Opl_type,type,
    tc_PropLog_Opl: $i > $i ).

thf(1,negated_conjecture,
    ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ c_PropLog_Opl_Ofalse @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(3,plain,
    ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ c_PropLog_Opl_Ofalse @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(4,plain,
    ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ c_PropLog_Opl_Ofalse @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(2,axiom,
    ! [C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ A @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).

thf(5,plain,
    ! [C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ A @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[4,5]) ).

thf(7,plain,
    $false,
    inference(simp,[status(thm)],[6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL440-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May 18 15:47:43 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.85/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.22/0.93  % [INFO] 	 Parsing done (100ms). 
% 1.22/0.94  % [INFO] 	 Running in sequential loop mode. 
% 1.47/1.13  % [INFO] 	 eprover registered as external prover. 
% 1.47/1.14  % [INFO] 	 cvc4 registered as external prover. 
% 1.47/1.14  % [INFO] 	 Scanning for conjecture ... 
% 1.72/1.19  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.72/1.21  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.72/1.21  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.83/1.21  % [INFO] 	 Type checking passed. 
% 1.83/1.21  % [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 ... 
% 2.49/1.46  % [INFO] 	 Killing All external provers ... 
% 2.49/1.46  % Time passed: 943ms (effective reasoning time: 513ms)
% 2.49/1.46  % 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)>
% 2.49/1.46  % Axioms used in derivation (1): cls_PropLog_Othms__I_0
% 2.49/1.46  % No. of inferences in proof: 7
% 2.49/1.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 943 ms resp. 513 ms w/o parsing
% 2.51/1.48  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.51/1.48  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------