TSTP Solution File: CSR119^1 by Leo-III-SAT---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : CSR119^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n025.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 10:29:35 EDT 2024

% Result   : Theorem 3.72s 1.90s
% Output   : Refutation 3.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   48 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  109 (  11   ~;   5   |;   7   &;  86   @)
%                                         (   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   :   12 (   0   ^   9   !;   3   ?;  12   :)

% 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(3,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) ).

thf(6,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)],[3]) ).

thf(1,conjecture,
    ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    ! [A: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(7,plain,
    ! [A: $i] :
      ( ( 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 @ A @ lBill_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[6,5]) ).

thf(8,plain,
    ! [A: $i] :
      ( ( ( 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 @ A @ lBill_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[7]) ).

thf(9,plain,
    ! [A: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
     != ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
    inference(simp,[status(thm)],[8]) ).

thf(11,plain,
    ! [A: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      | ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
    inference(bool_ext,[status(thm)],[9]) ).

thf(13,plain,
    ! [A: $i] :
      ( ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i )
      | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[11]) ).

thf(35,plain,
    ! [A: $i] :
      ( ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
       != ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) )
      | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[13]) ).

thf(37,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(pattern_uni,[status(thm)],[35:[bind(A,$thf( lSue_THFTYPE_i ))]]) ).

thf(83,plain,
    ! [A: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & $true )
     != ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
    inference(rewrite,[status(thm)],[9,37]) ).

thf(84,plain,
    ! [A: $i] :
      ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
     != ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
    inference(simp,[status(thm)],[83]) ).

thf(89,plain,
    $false,
    inference(pattern_uni,[status(thm)],[84:[bind(A,$thf( lMary_THFTYPE_i ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR119^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n025.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
% 0.16/0.37  % DateTime : Mon May  6 23:27:09 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.92/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.19/1.04  % [INFO] 	 Parsing done (114ms). 
% 1.19/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.73/1.26  % [INFO] 	 nitpick registered as external prover. 
% 1.73/1.26  % [INFO] 	 Scanning for conjecture ... 
% 1.83/1.32  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.83/1.34  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 2.02/1.34  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.02/1.35  % [INFO] 	 Type checking passed. 
% 2.02/1.35  % [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 ... 
% 3.72/1.89  % [INFO] 	 Killing All external provers ... 
% 3.72/1.89  % Time passed: 1336ms (effective reasoning time: 838ms)
% 3.72/1.89  % 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)>
% 3.72/1.90  % Axioms used in derivation (1): ax
% 3.72/1.90  % No. of inferences in proof: 16
% 3.72/1.90  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1336 ms resp. 838 ms w/o parsing
% 3.72/1.92  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.72/1.92  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------