TSTP Solution File: SET063-7 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SET063-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n029.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 03:05:11 EDT 2024

% Result   : Unsatisfiable 217.57s 41.52s
% Output   : Refutation 217.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   32 (  11 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   74 (  23   ~;  15   |;   0   &;  36   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^  13   !;   0   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subclass_type,type,
    subclass: $i > $i > $o ).

thf(x_type,type,
    x: $i ).

thf(null_class_type,type,
    null_class: $i ).

thf(75,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( subclass @ A @ B )
      | ~ ( subclass @ B @ A )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

thf(264,plain,
    ! [B: $i,A: $i] :
      ( ~ ( subclass @ A @ B )
      | ~ ( subclass @ B @ A )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(265,plain,
    ! [B: $i,A: $i] :
      ( ~ ( subclass @ A @ B )
      | ~ ( subclass @ B @ A )
      | ( A = B ) ),
    inference(cnf,[status(esa)],[264]) ).

thf(266,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( subclass @ A @ B )
      | ~ ( subclass @ B @ A ) ),
    inference(lifteq,[status(thm)],[265]) ).

thf(2,negated_conjecture,
    x != null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).

thf(108,plain,
    x != null_class,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(109,plain,
    x != null_class,
    inference(polarity_switch,[status(thm)],[108]) ).

thf(110,plain,
    null_class != x,
    inference(lifteq,[status(thm)],[109]) ).

thf(82464,plain,
    ! [B: $i,A: $i] :
      ( ~ ( subclass @ A @ B )
      | ~ ( subclass @ B @ A )
      | ( B != x )
      | ( A != null_class ) ),
    inference(paramod_ordered,[status(thm)],[266,110]) ).

thf(82465,plain,
    ! [A: $i] :
      ( ~ ( subclass @ null_class @ A )
      | ~ ( subclass @ A @ null_class )
      | ( A != x ) ),
    inference(pattern_uni,[status(thm)],[82464:[bind(A,$thf( null_class ))]]) ).

thf(87792,plain,
    ( ~ ( subclass @ null_class @ x )
    | ~ ( subclass @ x @ null_class ) ),
    inference(simp,[status(thm)],[82465]) ).

thf(1,negated_conjecture,
    subclass @ x @ null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).

thf(107,plain,
    subclass @ x @ null_class,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(100,axiom,
    ! [A: $i] : ( subclass @ null_class @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_subclass) ).

thf(316,plain,
    ! [A: $i] : ( subclass @ null_class @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(91002,plain,
    ( ~ $true
    | ~ $true ),
    inference(rewrite,[status(thm)],[87792,107,316]) ).

thf(91003,plain,
    $false,
    inference(simp,[status(thm)],[91002]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET063-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon May 20 12:42:54 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.97/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.30/1.04  % [INFO] 	 Parsing done (157ms). 
% 1.30/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.93/1.36  % [INFO] 	 nitpick registered as external prover. 
% 1.93/1.36  % [INFO] 	 Scanning for conjecture ... 
% 2.23/1.48  % [INFO] 	 Found a conjecture (or negated_conjecture) and 104 axioms. Running axiom selection ... 
% 2.35/1.58  % [INFO] 	 Axiom selection finished. Selected 104 axioms (removed 0 axioms). 
% 2.65/1.68  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.65/1.69  % [INFO] 	 Type checking passed. 
% 2.65/1.70  % [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 ... 
% 217.57/41.51  % [INFO] 	 Killing All external provers ... 
% 217.57/41.52  % Time passed: 41034ms (effective reasoning time: 40448ms)
% 217.57/41.52  % Axioms used in derivation (2): subclass_implies_equal, null_class_is_subclass
% 217.57/41.52  % No. of inferences in proof: 17
% 217.57/41.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 41034 ms resp. 40448 ms w/o parsing
% 217.57/41.56  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 217.57/41.56  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------