%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n009.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 11:54:23 EDT 2023

% Result   : Unsatisfiable 2.55s 1.56s
% Output   : Refutation 2.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :    9 (   1 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   28 (   4   ~;   0   |;   0   &;  24   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

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

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

thf(tc_IntDef_Oint_type,type,
    tc_IntDef_Oint: $i ).

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

thf(1,negated_conjecture,
    ! [A: $i] : ( c_in @ ( v_x @ A ) @ A @ tc_IntDef_Oint ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(3,plain,
    ! [A: $i] : ( c_in @ ( v_x @ A ) @ A @ tc_IntDef_Oint ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ~ ( c_in @ A @ c_emptyset @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).

thf(4,plain,
    ! [B: $i,A: $i] :
      ~ ( c_in @ A @ c_emptyset @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    ! [B: $i,A: $i] :
      ~ ( c_in @ A @ c_emptyset @ B ),
    inference(polarity_switch,[status(thm)],[4]) ).

thf(6,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_in @ ( v_x @ A ) @ A @ tc_IntDef_Oint )
     != ( c_in @ B @ c_emptyset @ C ) ),
    inference(paramod_ordered,[status(thm)],[3,5]) ).

thf(7,plain,
    $false,
    inference(pattern_uni,[status(thm)],[6:[bind(A,$thf( c_emptyset )),bind(B,$thf( v_x @ c_emptyset )),bind(C,$thf( tc_IntDef_Oint ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 18:59:33 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.96/0.90  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.15/1.01  % [INFO] 	 Parsing done (112ms). 
% 1.15/1.02  % [INFO] 	 Running in sequential loop mode. 
% 1.57/1.22  % [INFO] 	 eprover registered as external prover. 
% 1.71/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.71/1.23  % [INFO] 	 Scanning for conjecture ... 
% 1.80/1.27  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.80/1.29  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.80/1.29  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.80/1.29  % [INFO] 	 Type checking passed. 
% 1.80/1.30  % [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 ... 
% 2.55/1.56  % [INFO] 	 Killing All external provers ... 
% 2.55/1.56  % Time passed: 1036ms (effective reasoning time: 533ms)
% 2.55/1.56  % 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)>
% 2.55/1.56  % Axioms used in derivation (1): cls_Set_OemptyE_0
% 2.55/1.56  % No. of inferences in proof: 7
% 2.55/1.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1036 ms resp. 533 ms w/o parsing
% 2.55/1.58  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.55/1.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------