TSTP Solution File: SEV383^5 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEV383^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n019.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 04:10:26 EDT 2024

% Result   : Theorem 2.43s 1.47s
% Output   : Refutation 2.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   12 (   7   ~;   0   |;   0   &;   5   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   1 usr;   2 con; 0-0 aty)
%            Number of variables   :    5 (   0   ^   2   !;   3   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(1,conjecture,
    ? [A: $i > $o] :
      ~ ( A @ a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_7) ).

thf(2,negated_conjecture,
    ~ ? [A: $i > $o] :
        ~ ( A @ a ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ? [A: $i > $o] :
        ~ ( A @ a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ~ ~ ! [A: $i > $o] : ( A @ a ),
    inference(miniscope,[status(thm)],[3]) ).

thf(5,plain,
    ! [A: $i > $o] : ( A @ a ),
    inference(cnf,[status(esa)],[4]) ).

thf(7,plain,
    $false,
    inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [B: $i] : $false ))]]) ).

thf(12,plain,
    $false,
    inference(simp,[status(thm)],[7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEV383^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16  % Command  : run_Leo-III %s %d
% 0.17/0.37  % Computer : n019.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Sun May 19 19:10:39 EDT 2024
% 0.17/0.37  % CPUTime  : 
% 0.96/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.14/0.98  % [INFO] 	 Parsing done (89ms). 
% 1.28/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.65/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.65/1.18  % [INFO] 	 cvc4 registered as external prover. 
% 1.65/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.65/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.83/1.24  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.83/1.24  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.83/1.25  % [INFO] 	 Type checking passed. 
% 1.83/1.25  % [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 ... 
% 2.25/1.47  % [INFO] 	 Killing All external provers ... 
% 2.25/1.47  % Time passed: 919ms (effective reasoning time: 481ms)
% 2.25/1.47  % 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)>
% 2.25/1.47  % Axioms used in derivation (0): 
% 2.25/1.47  % No. of inferences in proof: 7
% 2.43/1.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 919 ms resp. 481 ms w/o parsing
% 2.43/1.49  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.43/1.49  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------