TSTP Solution File: CSR122^2 by Leo-III-SAT---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : CSR122^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n008.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 10:29:39 EDT 2024

% Result   : Theorem 8.57s 3.09s
% Output   : Refutation 8.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   23 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   28 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   58 (   6   ~;   0   |;   4   &;  48   @)
%                                         (   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   :    3 (   0   ^   3   !;   0   ?;   3   :)

% 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(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(45,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_022) ).

thf(93,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(143,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( $true
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(rewrite,[status(thm)],[45,93]) ).

thf(144,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(simp,[status(thm)],[143]) ).

thf(38,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_049) ).

thf(96,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(152,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ),
    inference(rewrite,[status(thm)],[144,96]) ).

thf(33,axiom,
    ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).

thf(90,plain,
    ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(91,plain,
    ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
    inference(cnf,[status(esa)],[90]) ).

thf(172,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[152,91]) ).

thf(173,plain,
    $false,
    inference(simp,[status(thm)],[172]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : CSR122^2 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.11  % Command  : run_Leo-III %s %d
% 0.10/0.30  % Computer : n008.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Mon May  6 23:17:39 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.80/0.79  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.17/1.02  % [INFO] 	 Parsing done (229ms). 
% 1.53/1.03  % [INFO] 	 Running in sequential loop mode. 
% 2.30/1.33  % [INFO] 	 nitpick registered as external prover. 
% 2.39/1.34  % [INFO] 	 Scanning for conjecture ... 
% 2.57/1.45  % [INFO] 	 Found a conjecture and 192 axioms. Running axiom selection ... 
% 2.67/1.55  % [INFO] 	 Axiom selection finished. Selected 42 axioms (removed 150 axioms). 
% 2.94/1.60  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.94/1.60  % [INFO] 	 Type checking passed. 
% 2.94/1.60  % [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 ... 
% 8.57/3.08  % [INFO] 	 Killing All external provers ... 
% 8.57/3.09  % Time passed: 2641ms (effective reasoning time: 2048ms)
% 8.57/3.09  % 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)>
% 8.57/3.09  % Axioms used in derivation (3): ax_022, ax_049, ax_004
% 8.57/3.09  % No. of inferences in proof: 15
% 8.57/3.09  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2641 ms resp. 2048 ms w/o parsing
% 8.64/3.12  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.64/3.12  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------