TSTP Solution File: SYO090^5 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO090^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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 08:55:47 EDT 2024

% Result   : Theorem 3.07s 2.09s
% Output   : Refutation 3.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    8 (   1 unt;   4 typ;   0 def)
%            Number of atoms       :   79 (   0 equ;   0 cnn)
%            Maximal formula atoms :   26 (  19 avg)
%            Number of connectives :  131 (  56   ~;  30   |;  42   &;   0   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (  11 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(t_type,type,
    t: $o ).

thf(s_type,type,
    s: $o ).

thf(q_type,type,
    q: $o ).

thf(p_type,type,
    p: $o ).

thf(1,conjecture,
    ( ( ~ ( ~ ( ( ~ ( ( ~ ( p
                          & q )
                      | ~ ( s
                          & t ) )
                    & q )
                | ~ ( s
                    & t ) )
              & q )
          | ~ ( s
              & t ) )
      | ~ q
      | ~ s
      | ~ t )
   => ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
                            & q )
                        | ~ ( s
                            & t ) )
                      & q )
                  | ~ ( s
                      & t ) )
                & q )
            | ~ ( s
                & t ) )
          & q )
      | ~ ( s
          & t ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDMG8) ).

thf(2,negated_conjecture,
    ~ ( ( ~ ( ~ ( ( ~ ( ( ~ ( p
                            & q )
                        | ~ ( s
                            & t ) )
                      & q )
                  | ~ ( s
                      & t ) )
                & q )
            | ~ ( s
                & t ) )
        | ~ q
        | ~ s
        | ~ t )
     => ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
                              & q )
                          | ~ ( s
                              & t ) )
                        & q )
                    | ~ ( s
                        & t ) )
                  & q )
              | ~ ( s
                  & t ) )
            & q )
        | ~ ( s
            & t ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ~ ( ~ ( ( ~ ( ( ~ ( p
                            & q )
                        | ~ ( s
                            & t ) )
                      & q )
                  | ~ ( s
                      & t ) )
                & q )
            | ~ ( s
                & t ) )
        | ~ q
        | ~ s
        | ~ t )
     => ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
                              & q )
                          | ~ ( s
                              & t ) )
                        & q )
                    | ~ ( s
                        & t ) )
                  & q )
              | ~ ( s
                  & t ) )
            & q )
        | ~ ( s
            & t ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(20,plain,
    $false,
    inference(cvc4,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SYO090^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon May 20 10:25:24 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 1.05/0.99  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.37/1.16  % [INFO] 	 Parsing done (163ms). 
% 1.37/1.17  % [INFO] 	 Running in sequential loop mode. 
% 1.97/1.56  % [INFO] 	 eprover registered as external prover. 
% 1.97/1.56  % [INFO] 	 cvc4 registered as external prover. 
% 1.97/1.57  % [INFO] 	 Scanning for conjecture ... 
% 2.14/1.66  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.24/1.69  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.24/1.69  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.24/1.70  % [INFO] 	 Type checking passed. 
% 2.24/1.70  % [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 ... 
% 3.07/2.08  % External prover 'cvc4' found a proof!
% 3.07/2.08  % [INFO] 	 Killing All external provers ... 
% 3.07/2.09  % Time passed: 1613ms (effective reasoning time: 911ms)
% 3.07/2.09  % 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)>
% 3.07/2.09  % Axioms used in derivation (0): 
% 3.07/2.09  % No. of inferences in proof: 4
% 3.07/2.09  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1613 ms resp. 911 ms w/o parsing
% 3.29/2.12  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.29/2.12  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------