%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 11:29:08 EDT 2023

% Result   : Unsatisfiable 2.59s 1.64s
% Output   : Refutation 2.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   12 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   64 (   6   ~;   4   |;   0   &;  54   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(equivalent_type,type,
    equivalent: $i > $i > $i ).

thf(a_type,type,
    a: $i ).

thf(b_type,type,
    b: $i ).

thf(c_type,type,
    c: $i ).

thf(1,negated_conjecture,
    ~ ( is_a_theorem @ ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ ( equivalent @ a @ c ) @ ( equivalent @ c @ b ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yqf) ).

thf(4,plain,
    ~ ( is_a_theorem @ ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ ( equivalent @ a @ c ) @ ( equivalent @ c @ b ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ ( equivalent @ A @ B ) )
      | ~ ( is_a_theorem @ A )
      | ( is_a_theorem @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

thf(6,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ ( equivalent @ A @ B ) )
      | ~ ( is_a_theorem @ A )
      | ( is_a_theorem @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( equivalent @ ( equivalent @ A @ B ) @ ( equivalent @ ( equivalent @ C @ A ) @ ( equivalent @ B @ C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj) ).

thf(8,plain,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( equivalent @ ( equivalent @ A @ B ) @ ( equivalent @ ( equivalent @ C @ A ) @ ( equivalent @ B @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(12,plain,
    $false,
    inference(e,[status(thm)],[4,6,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.14  % Command  : run_Leo-III %s %d
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 16:08:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.83/0.78  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.07/0.91  % [INFO] 	 Parsing done (127ms). 
% 1.07/0.92  % [INFO] 	 Running in sequential loop mode. 
% 1.54/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.54/1.21  % [INFO] 	 cvc4 registered as external prover. 
% 1.63/1.21  % [INFO] 	 Scanning for conjecture ... 
% 1.67/1.27  % [INFO] 	 Found a conjecture and 2 axioms. Running axiom selection ... 
% 1.67/1.29  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 1.67/1.29  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.67/1.29  % [INFO] 	 Type checking passed. 
% 1.67/1.30  % [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 ... 
% 2.59/1.63  % External prover 'e' found a proof!
% 2.59/1.63  % [INFO] 	 Killing All external provers ... 
% 2.59/1.63  % Time passed: 1157ms (effective reasoning time: 705ms)
% 2.59/1.63  % 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)>
% 2.59/1.63  % Axioms used in derivation (2): condensed_detachment, yqj
% 2.59/1.63  % No. of inferences in proof: 7
% 2.59/1.64  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1157 ms resp. 705 ms w/o parsing
% 2.75/1.70  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.75/1.70  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------