%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SET835-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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 11:54:32 EDT 2023

% Result   : Unsatisfiable 1.83s 1.28s
% Output   : Refutation 1.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   16 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   13 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (   6   ~;   4   |;   0   &;  40   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
    c_lessequals: $i > $i > $i > $o ).

thf(v_Y_type,type,
    v_Y: $i ).

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

thf(tc_set_type,type,
    tc_set: $i > $i ).

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

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

thf(v_x_type,type,
    v_x: $i ).

thf(1,negated_conjecture,
    c_lessequals @ v_Y @ v_X @ ( tc_set @ t_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(5,plain,
    c_lessequals @ v_Y @ v_X @ ( tc_set @ t_a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,negated_conjecture,
    c_in @ v_x @ v_Y @ t_a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(6,plain,
    c_in @ v_x @ v_Y @ t_a,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,negated_conjecture,
    ~ ( c_in @ v_x @ v_X @ t_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(7,plain,
    ~ ( c_in @ v_x @ v_X @ t_a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ C )
      | ~ ( c_lessequals @ B @ D @ ( tc_set @ C ) )
      | ( c_in @ A @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

thf(9,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ C )
      | ~ ( c_lessequals @ B @ D @ ( tc_set @ C ) )
      | ( c_in @ A @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(14,plain,
    $false,
    inference(e,[status(thm)],[5,6,7,9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SET835-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10  % Command  : run_Leo-III %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu May 18 18:48:35 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 0.64/0.66  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.80/0.76  % [INFO] 	 Parsing done (98ms). 
% 0.80/0.77  % [INFO] 	 Running in sequential loop mode. 
% 1.18/0.96  % [INFO] 	 eprover registered as external prover. 
% 1.18/0.96  % [INFO] 	 cvc4 registered as external prover. 
% 1.18/0.97  % [INFO] 	 Scanning for conjecture ... 
% 1.18/1.01  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.40/1.03  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.40/1.03  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.40/1.04  % [INFO] 	 Type checking passed. 
% 1.40/1.04  % [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 ... 
% 1.83/1.28  % External prover 'e' found a proof!
% 1.83/1.28  % [INFO] 	 Killing All external provers ... 
% 1.83/1.28  % Time passed: 898ms (effective reasoning time: 513ms)
% 1.83/1.28  % 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)>
% 1.83/1.28  % Axioms used in derivation (1): cls_Set_OsubsetD_0
% 1.83/1.28  % No. of inferences in proof: 9
% 1.83/1.28  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 898 ms resp. 513 ms w/o parsing
% 1.83/1.30  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.83/1.30  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------