TSTP Solution File: CSR125^1 by Leo-III---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.10
% Problem  : CSR125^1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Tue May  7 07:38:52 EDT 2024

% Result   : Theorem 2.76s 1.71s
% Output   : Refutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   26 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   60 (  12   ~;   2   |;   0   &;  46   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(num_type,type,
    num: $tType ).

thf(holdsDuring_THFTYPE_IiooI_type,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(lBill_THFTYPE_i_type,type,
    lBill_THFTYPE_i: $i ).

thf(lSue_THFTYPE_i_type,type,
    lSue_THFTYPE_i: $i ).

thf(lYearFn_THFTYPE_IiiI_type,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(likes_THFTYPE_IiioI_type,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(n2009_THFTYPE_i_type,type,
    n2009_THFTYPE_i: $i ).

thf(3,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

thf(7,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,axiom,
    ! [A: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).

thf(9,plain,
    ! [A: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(10,plain,
    ! [A: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
    inference(cnf,[status(esa)],[9]) ).

thf(1,conjecture,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(11,plain,
    ! [A: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
     != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
    inference(paramod_ordered,[status(thm)],[10,6]) ).

thf(15,plain,
    ! [A: $i] :
      ( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
       != ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
    inference(simp,[status(thm)],[11]) ).

thf(18,plain,
    ! [A: $i] :
      ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
      | ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
       != ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(19,plain,
    ! [A: $i] :
      ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
    inference(simp,[status(thm)],[18]) ).

thf(20,plain,
    $false,
    inference(rewrite,[status(thm)],[7,19]) ).

thf(21,plain,
    $false,
    inference(simp,[status(thm)],[20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CSR125^1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n006.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon May  6 15:33:39 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.99/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.21/0.97  % [INFO] 	 Parsing done (108ms). 
% 1.21/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.73/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.73/1.20  % [INFO] 	 cvc4 registered as external prover. 
% 1.73/1.21  % [INFO] 	 Scanning for conjecture ... 
% 1.80/1.25  % [INFO] 	 Found a conjecture and 3 axioms. Running axiom selection ... 
% 1.80/1.27  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 1.80/1.28  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.80/1.28  % [INFO] 	 Type checking passed. 
% 1.80/1.29  % [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 ... 
% 2.76/1.71  % [INFO] 	 Killing All external provers ... 
% 2.76/1.71  % Time passed: 1180ms (effective reasoning time: 728ms)
% 2.76/1.71  % 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)>
% 2.76/1.71  % Axioms used in derivation (2): ax, ax_002
% 2.76/1.71  % No. of inferences in proof: 14
% 2.76/1.71  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1180 ms resp. 728 ms w/o parsing
% 3.03/1.74  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.03/1.74  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------