TSTP Solution File: CSR151^2 by Leo-III---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.10
% Problem  : CSR151^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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 07:39:02 EDT 2024

% Result   : Theorem 7.27s 2.71s
% Output   : Refutation 7.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   46 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  110 (   7   ~;   3   |;  15   &;  85   @)
%                                         (   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     :   10 (   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(37,axiom,
    ( 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/sandbox/benchmark/theBenchmark.p',ax_026) ).

thf(92,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)],[37]) ).

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

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

thf(42,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(157,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 ) ) )
   != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
    inference(paramod_ordered,[status(thm)],[92,42]) ).

thf(164,plain,
    ( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
     != ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
    | ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
     != ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
    inference(simp,[status(thm)],[157]) ).

thf(167,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
   != ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[164]) ).

thf(175,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(bool_ext,[status(thm)],[167]) ).

thf(179,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    | ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[175]) ).

thf(182,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(simp,[status(thm)],[179]) ).

thf(190,plain,
    ( ( $true
      & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
   != ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      & $true ) ),
    inference(rewrite,[status(thm)],[167,182]) ).

thf(191,plain,
    $false,
    inference(simp,[status(thm)],[190]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : CSR151^2 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.17  % Command  : run_Leo-III %s %d
% 0.16/0.38  % Computer : n022.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Mon May  6 15:48:54 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.93/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.39/1.10  % [INFO] 	 Parsing done (202ms). 
% 1.65/1.10  % [INFO] 	 Running in sequential loop mode. 
% 2.12/1.32  % [INFO] 	 eprover registered as external prover. 
% 2.12/1.32  % [INFO] 	 cvc4 registered as external prover. 
% 2.12/1.33  % [INFO] 	 Scanning for conjecture ... 
% 2.22/1.41  % [INFO] 	 Found a conjecture and 189 axioms. Running axiom selection ... 
% 2.41/1.47  % [INFO] 	 Axiom selection finished. Selected 39 axioms (removed 150 axioms). 
% 2.58/1.50  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.58/1.51  % [INFO] 	 Type checking passed. 
% 2.58/1.51  % [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 ... 
% 7.27/2.70  % [INFO] 	 Killing All external provers ... 
% 7.27/2.70  % Time passed: 2149ms (effective reasoning time: 1593ms)
% 7.27/2.70  % 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)>
% 7.27/2.70  % Axioms used in derivation (1): ax_026
% 7.27/2.70  % No. of inferences in proof: 13
% 7.27/2.71  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2149 ms resp. 1593 ms w/o parsing
% 7.27/2.72  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.27/2.72  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------