TSTP Solution File: SEU902^5 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEU902^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n023.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 03:40:24 EDT 2024

% Result   : Theorem 4.32s 2.55s
% Output   : Refutation 4.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   1 unt;   1 typ;   0 def)
%            Number of atoms       :   22 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives :   41 (   8   ~;   0   |;   6   &;  21   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (   3   ^   9   !;   3   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(d_type,type,
    d: $i > $o ).

thf(1,conjecture,
    ! [A: ( $i > $o ) > $i] :
      ( ( ! [B: $i > $o,C: $i > $o] :
            ( ( ( A @ B )
              = ( A @ C ) )
           => ( B = C ) )
        & ( d
          = ( ^ [B: $i] :
              ? [C: $i > $o] :
                ( ~ ( C @ ( A @ C ) )
                & ( B
                  = ( A @ C ) ) ) ) ) )
     => ~ ( d @ ( A @ d ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM143_pme) ).

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

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

thf(13,plain,
    $false,
    inference(cvc4,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEU902^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sun May 19 16:05:09 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 1.10/1.01  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.42/1.19  % [INFO] 	 Parsing done (171ms). 
% 1.42/1.20  % [INFO] 	 Running in sequential loop mode. 
% 1.91/1.59  % [INFO] 	 eprover registered as external prover. 
% 1.91/1.60  % [INFO] 	 cvc4 registered as external prover. 
% 1.91/1.60  % [INFO] 	 Scanning for conjecture ... 
% 2.21/1.69  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.21/1.73  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.21/1.73  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.21/1.74  % [INFO] 	 Type checking passed. 
% 2.21/1.74  % [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 ... 
% 4.32/2.55  % External prover 'cvc4' found a proof!
% 4.32/2.55  % [INFO] 	 Killing All external provers ... 
% 4.32/2.55  % Time passed: 2056ms (effective reasoning time: 1340ms)
% 4.32/2.55  % 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)>
% 4.32/2.55  % Axioms used in derivation (0): 
% 4.32/2.55  % No. of inferences in proof: 4
% 4.32/2.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2056 ms resp. 1340 ms w/o parsing
% 4.48/2.58  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.48/2.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------