%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : LCL018-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n003.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 00:04:21 EDT 2024

% Result   : Unsatisfiable 2.95s 2.02s
% Output   : Refutation 2.95s
% 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 :   12 (   9 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 @ ( equivalent @ a @ ( equivalent @ b @ c ) ) @ c ) @ ( equivalent @ b @ a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_pyo) ).

thf(4,plain,
    ~ ( is_a_theorem @ ( equivalent @ ( equivalent @ ( equivalent @ a @ ( equivalent @ b @ c ) ) @ c ) @ ( equivalent @ b @ a ) ) ),
    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/sandbox2/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 @ ( equivalent @ A @ ( equivalent @ B @ C ) ) @ B ) @ ( equivalent @ C @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pym) ).

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

thf(11,plain,
    $false,
    inference(e,[status(thm)],[4,6,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : LCL018-1 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.11  % Command  : run_Leo-III %s %d
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon May 20 00:57:54 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.90/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.23/1.05  % [INFO] 	 Parsing done (141ms). 
% 1.23/1.06  % [INFO] 	 Running in sequential loop mode. 
% 1.67/1.41  % [INFO] 	 eprover registered as external prover. 
% 1.67/1.41  % [INFO] 	 cvc4 registered as external prover. 
% 1.67/1.42  % [INFO] 	 Scanning for conjecture ... 
% 1.90/1.50  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ... 
% 1.90/1.52  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 2.02/1.53  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.02/1.53  % [INFO] 	 Type checking passed. 
% 2.02/1.54  % [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 ... 
% 2.95/2.01  % External prover 'e' found a proof!
% 2.95/2.02  % [INFO] 	 Killing All external provers ... 
% 2.95/2.02  % Time passed: 1560ms (effective reasoning time: 950ms)
% 2.95/2.02  % Axioms used in derivation (2): condensed_detachment, pym
% 2.95/2.02  % No. of inferences in proof: 7
% 2.95/2.02  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1560 ms resp. 950 ms w/o parsing
% 2.95/2.05  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.95/2.05  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------