TSTP Solution File: SEU894^5 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEU894^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n028.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 03:40:23 EDT 2024

% Result   : Theorem 2.72s 1.79s
% Output   : Refutation 2.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   50 (   2   ~;   0   |;   9   &;  27   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   24 (   3   ^  12   !;   9   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(1,conjecture,
    ! [A: $i > $i] :
    ? [B: $i > $i] :
      ( ( ! [C: ( $i > $i ) > $o] :
            ( ( ( C @ A )
              & ! [D: $i > $i] :
                  ( ( C @ D )
                 => ( C
                    @ ^ [E: $i] : ( A @ ( D @ E ) ) ) ) )
           => ( C @ B ) )
        & ? [C: $i] :
            ( ( ( B @ C )
              = C )
            & ! [D: $i] :
                ( ( ( B @ D )
                  = D )
               => ( C = D ) ) ) )
     => ? [C: $i] :
          ( ( A @ C )
          = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM15_0_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: $i > $i] :
      ? [B: $i > $i] :
        ( ( ! [C: ( $i > $i ) > $o] :
              ( ( ( C @ A )
                & ! [D: $i > $i] :
                    ( ( C @ D )
                   => ( C
                      @ ^ [E: $i] : ( A @ ( D @ E ) ) ) ) )
             => ( C @ B ) )
          & ? [C: $i] :
              ( ( ( B @ C )
                = C )
              & ! [D: $i] :
                  ( ( ( B @ D )
                    = D )
                 => ( C = D ) ) ) )
       => ? [C: $i] :
            ( ( A @ C )
            = C ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: $i > $i] :
      ? [B: $i > $i] :
        ( ( ! [C: ( $i > $i ) > $o] :
              ( ( ( C @ A )
                & ! [D: $i > $i] :
                    ( ( C @ D )
                   => ( C
                      @ ^ [E: $i] : ( A @ ( D @ E ) ) ) ) )
             => ( C @ B ) )
          & ? [C: $i] :
              ( ( ( B @ C )
                = C )
              & ! [D: $i] :
                  ( ( ( B @ D )
                    = D )
                 => ( C = D ) ) ) )
       => ? [C: $i] :
            ( ( A @ C )
            = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(22,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU894^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.35  % Computer : n028.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Sun May 19 17:50:09 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 1.02/0.95  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.13/1.06  % [INFO] 	 Parsing done (114ms). 
% 1.32/1.07  % [INFO] 	 Running in sequential loop mode. 
% 1.65/1.31  % [INFO] 	 eprover registered as external prover. 
% 1.65/1.31  % [INFO] 	 cvc4 registered as external prover. 
% 1.65/1.32  % [INFO] 	 Scanning for conjecture ... 
% 1.89/1.37  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.89/1.39  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.89/1.39  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.89/1.40  % [INFO] 	 Type checking passed. 
% 1.89/1.40  % [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 ... 
% 2.72/1.79  % External prover 'e' found a proof!
% 2.72/1.79  % [INFO] 	 Killing All external provers ... 
% 2.72/1.79  % Time passed: 1260ms (effective reasoning time: 712ms)
% 2.72/1.79  % 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)>
% 2.72/1.79  % Axioms used in derivation (0): 
% 2.72/1.79  % No. of inferences in proof: 4
% 2.72/1.79  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1260 ms resp. 712 ms w/o parsing
% 2.72/1.81  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.72/1.81  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------