TSTP Solution File: SYO178^5 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO178^5 : TPTP v8.2.0. Released v4.0.0.
% 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 21 08:55:59 EDT 2024

% Result   : Theorem 2.81s 1.63s
% Output   : Refutation 3.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   15 (   1 unt;  11 typ;   0 def)
%            Number of atoms       :  175 (   0 equ;   0 cnn)
%            Maximal formula atoms :   58 (  43 avg)
%            Number of connectives :  260 (  89   ~; 120   |;  51   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (  19 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;  12 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cM_type,type,
    cM: $o ).

thf(cN_type,type,
    cN: $o ).

thf(cG_type,type,
    cG: $o ).

thf(cK_type,type,
    cK: $o ).

thf(cE_type,type,
    cE: $o ).

thf(cR_type,type,
    cR: $o ).

thf(cF_type,type,
    cF: $o ).

thf(cC_type,type,
    cC: $o ).

thf(cB_type,type,
    cB: $o ).

thf(cP_type,type,
    cP: $o ).

thf(cL_type,type,
    cL: $o ).

thf(1,conjecture,
    ~ ( cL
      & cE
      & ( ~ cF
        | cB )
      & ( ~ cL
        | ~ cP
        | cM )
      & ( ~ cG
        | cR
        | cM )
      & ( cG
        | cP
        | cR )
      & ( ~ cK
        | ~ cB
        | cC )
      & ( ~ cL
        | ~ cM
        | cC )
      & ( cG
        | cR
        | cK )
      & ( ~ cR
        | ~ cE
        | ~ cC )
      & ( ~ cR
        | cN
        | cF
        | cP )
      & ( ~ cK
        | ~ cL
        | ~ cE
        | ~ cM )
      & ( ~ cG
        | cK
        | cM
        | ~ cB )
      & ( ~ cN
        | cP
        | cF
        | cC )
      & ( ~ cG
        | ~ cB
        | cR
        | ~ cC )
      & ( cK
        | ~ cN
        | ~ cM
        | cF )
      & ( ~ cR
        | cK
        | cM
        | cG )
      & ( ~ cE
        | cK
        | ~ cG
        | cN
        | ~ cM ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPORKCHOP1C) ).

thf(2,negated_conjecture,
    ~ ~ ( cL
        & cE
        & ( ~ cF
          | cB )
        & ( ~ cL
          | ~ cP
          | cM )
        & ( ~ cG
          | cR
          | cM )
        & ( cG
          | cP
          | cR )
        & ( ~ cK
          | ~ cB
          | cC )
        & ( ~ cL
          | ~ cM
          | cC )
        & ( cG
          | cR
          | cK )
        & ( ~ cR
          | ~ cE
          | ~ cC )
        & ( ~ cR
          | cN
          | cF
          | cP )
        & ( ~ cK
          | ~ cL
          | ~ cE
          | ~ cM )
        & ( ~ cG
          | cK
          | cM
          | ~ cB )
        & ( ~ cN
          | cP
          | cF
          | cC )
        & ( ~ cG
          | ~ cB
          | cR
          | ~ cC )
        & ( cK
          | ~ cN
          | ~ cM
          | cF )
        & ( ~ cR
          | cK
          | cM
          | cG )
        & ( ~ cE
          | cK
          | ~ cG
          | cN
          | ~ cM ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ~ ( cL
        & cE
        & ( ~ cF
          | cB )
        & ( ~ cL
          | ~ cP
          | cM )
        & ( ~ cG
          | cR
          | cM )
        & ( cG
          | cP
          | cR )
        & ( ~ cK
          | ~ cB
          | cC )
        & ( ~ cL
          | ~ cM
          | cC )
        & ( cG
          | cR
          | cK )
        & ( ~ cR
          | ~ cE
          | ~ cC )
        & ( ~ cR
          | cN
          | cF
          | cP )
        & ( ~ cK
          | ~ cL
          | ~ cE
          | ~ cM )
        & ( ~ cG
          | cK
          | cM
          | ~ cB )
        & ( ~ cN
          | cP
          | cF
          | cC )
        & ( ~ cG
          | ~ cB
          | cR
          | ~ cC )
        & ( cK
          | ~ cN
          | ~ cM
          | cF )
        & ( ~ cR
          | cK
          | cM
          | cG )
        & ( ~ cE
          | cK
          | ~ cG
          | cN
          | ~ cM ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(23,plain,
    $false,
    inference(cvc4,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO178^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n025.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 20 08:46:54 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.96/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.15/0.98  % [INFO] 	 Parsing done (104ms). 
% 1.36/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.66/1.21  % [INFO] 	 eprover registered as external prover. 
% 1.66/1.21  % [INFO] 	 cvc4 registered as external prover. 
% 1.66/1.22  % [INFO] 	 Scanning for conjecture ... 
% 1.96/1.29  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.96/1.32  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.96/1.32  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.96/1.32  % [INFO] 	 Type checking passed. 
% 1.96/1.33  % [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 ... 
% 2.81/1.63  % External prover 'cvc4' found a proof!
% 2.81/1.63  % [INFO] 	 Killing All external provers ... 
% 2.81/1.63  % Time passed: 1093ms (effective reasoning time: 638ms)
% 2.81/1.63  % 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)>
% 2.81/1.63  % Axioms used in derivation (0): 
% 2.81/1.63  % No. of inferences in proof: 4
% 2.81/1.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1093 ms resp. 638 ms w/o parsing
% 3.08/1.66  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.08/1.66  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------