%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWV269-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : Fri May 19 12:14:40 EDT 2023

% Result   : Unsatisfiable 2.46s 1.56s
% Output   : Refutation 2.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   14 (   5 unt;   7 typ;   0 def)
%            Number of atoms       :    9 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   48 (   4   ~;   2   |;   0   &;  42   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

thf(v_X_type,type,
    v_X: $i ).

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

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

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

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

thf(c_Message_Oparts_type,type,
    c_Message_Oparts: $i > $i ).

thf(1,negated_conjecture,
    c_in @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(4,plain,
    c_in @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,negated_conjecture,
    ~ ( c_in @ v_X @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(5,plain,
    ~ ( c_in @ v_X @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ C )
      | ( c_in @ A @ ( c_union @ D @ B @ C ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

thf(7,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ C )
      | ( c_in @ A @ ( c_union @ D @ B @ C ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(12,plain,
    $false,
    inference(e,[status(thm)],[4,5,7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV269-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri May 19 02:50:46 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.96/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.25/1.01  % [INFO] 	 Parsing done (118ms). 
% 1.25/1.02  % [INFO] 	 Running in sequential loop mode. 
% 1.61/1.23  % [INFO] 	 eprover registered as external prover. 
% 1.61/1.23  % [INFO] 	 cvc4 registered as external prover. 
% 1.70/1.24  % [INFO] 	 Scanning for conjecture ... 
% 1.70/1.29  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.70/1.30  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.70/1.31  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.70/1.31  % [INFO] 	 Type checking passed. 
% 1.70/1.31  % [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 ... 
% 2.46/1.56  % External prover 'e' found a proof!
% 2.46/1.56  % [INFO] 	 Killing All external provers ... 
% 2.46/1.56  % Time passed: 1054ms (effective reasoning time: 540ms)
% 2.46/1.56  % 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)>
% 2.46/1.56  % Axioms used in derivation (1): cls_Set_OUn__iff_2
% 2.46/1.56  % No. of inferences in proof: 7
% 2.46/1.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1054 ms resp. 540 ms w/o parsing
% 2.46/1.58  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.46/1.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------