%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWV243-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n006.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 12:14:27 EDT 2023

% Result   : Unsatisfiable 2.34s 1.50s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   13 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :    7 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   48 (   2   ~;   0   |;   0   &;  46   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_Message_Oanalz_type,type,
    c_Message_Oanalz: $i > $i ).

thf(c_Message_Osynth_type,type,
    c_Message_Osynth: $i > $i ).

thf(v_H_type,type,
    v_H: $i ).

thf(c_union_type,type,
    c_union: $i > $i > $i > $i ).

thf(tc_Message_Omsg_type,type,
    tc_Message_Omsg: $i ).

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

thf(1,negated_conjecture,
    ( ( c_Message_Oanalz @ ( c_Message_Osynth @ v_H ) )
   != ( c_union @ ( c_Message_Oanalz @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(4,plain,
    ( ( c_Message_Oanalz @ ( c_Message_Osynth @ v_H ) )
   != ( c_union @ ( c_Message_Oanalz @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ( c_Message_Oanalz @ ( c_union @ ( c_Message_Osynth @ A ) @ B @ tc_Message_Omsg ) )
      = ( c_union @ ( c_Message_Oanalz @ ( c_union @ A @ B @ tc_Message_Omsg ) ) @ ( c_Message_Osynth @ A ) @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).

thf(7,plain,
    ! [B: $i,A: $i] :
      ( ( c_Message_Oanalz @ ( c_union @ ( c_Message_Osynth @ A ) @ B @ tc_Message_Omsg ) )
      = ( c_union @ ( c_Message_Oanalz @ ( c_union @ A @ B @ tc_Message_Omsg ) ) @ ( c_Message_Osynth @ A ) @ tc_Message_Omsg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [B: $i,A: $i] :
      ( ( c_union @ A @ c_emptyset @ B )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).

thf(9,plain,
    ! [B: $i,A: $i] :
      ( ( c_union @ A @ c_emptyset @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(16,plain,
    $false,
    inference(e,[status(thm)],[4,7,9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV243-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.14  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n006.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 : Fri May 19 02:16:22 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.90/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.02/0.93  % [INFO] 	 Parsing done (101ms). 
% 1.02/0.94  % [INFO] 	 Running in sequential loop mode. 
% 1.62/1.13  % [INFO] 	 eprover registered as external prover. 
% 1.62/1.13  % [INFO] 	 cvc4 registered as external prover. 
% 1.62/1.14  % [INFO] 	 Scanning for conjecture ... 
% 1.62/1.18  % [INFO] 	 Found a conjecture and 2 axioms. Running axiom selection ... 
% 1.79/1.20  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 1.79/1.21  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.79/1.21  % [INFO] 	 Type checking passed. 
% 1.79/1.21  % [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 ... 
% 2.34/1.50  % External prover 'e' found a proof!
% 2.34/1.50  % [INFO] 	 Killing All external provers ... 
% 2.34/1.50  % Time passed: 994ms (effective reasoning time: 558ms)
% 2.34/1.50  % 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)>
% 2.34/1.50  % Axioms used in derivation (2): cls_Message_Oanalz__synth__Un_0, cls_Set_OUn__empty__right_0
% 2.34/1.50  % No. of inferences in proof: 7
% 2.34/1.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 994 ms resp. 558 ms w/o parsing
% 2.65/1.56  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.65/1.56  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------