TSTP Solution File: CSR124^2 by Leo-III-SAT---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : CSR124^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n010.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 10:29:40 EDT 2024

% Result   : Theorem 6.85s 2.41s
% Output   : Refutation 6.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   19 (   4 unt;   8 typ;   0 def)
%            Number of atoms       :   22 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   53 (   4   ~;   0   |;   4   &;  45   @)
%                                         (   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     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% 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(lMary_THFTYPE_i_type,type,
    lMary_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(33,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).

thf(89,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(1,conjecture,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(44,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(35,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024) ).

thf(91,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(134,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( $true
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(rewrite,[status(thm)],[44,91]) ).

thf(135,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(simp,[status(thm)],[134]) ).

thf(169,plain,
    $false,
    inference(rewrite,[status(thm)],[89,135]) ).

thf(170,plain,
    $false,
    inference(simp,[status(thm)],[169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR124^2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n010.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Mon May  6 23:31:39 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 1.00/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.44/1.05  % [INFO] 	 Parsing done (195ms). 
% 1.44/1.06  % [INFO] 	 Running in sequential loop mode. 
% 2.01/1.26  % [INFO] 	 nitpick registered as external prover. 
% 2.01/1.26  % [INFO] 	 Scanning for conjecture ... 
% 2.23/1.34  % [INFO] 	 Found a conjecture and 191 axioms. Running axiom selection ... 
% 2.41/1.40  % [INFO] 	 Axiom selection finished. Selected 41 axioms (removed 150 axioms). 
% 2.41/1.43  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.41/1.43  % [INFO] 	 Type checking passed. 
% 2.41/1.44  % [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 ... 
% 6.85/2.40  % [INFO] 	 Killing All external provers ... 
% 6.85/2.41  % Time passed: 1882ms (effective reasoning time: 1344ms)
% 6.85/2.41  % 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)>
% 6.85/2.41  % Axioms used in derivation (2): ax_005, ax_024
% 6.85/2.41  % No. of inferences in proof: 11
% 6.85/2.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1882 ms resp. 1344 ms w/o parsing
% 6.85/2.42  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.85/2.42  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------