TSTP Solution File: SYN000-1 by Leo-III---1.7.15

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SYN000-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n026.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 : Mon Jun 24 19:45:36 EDT 2024

% Result   : Unsatisfiable 2.91s 1.66s
% Output   : Refutation 2.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% 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 :    8 (   3   ~;   0   |;   0   &;   5   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   2 con; 0-1 aty)
%            Number of variables   :    3 (   0   ^   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p_type,type,
    p: $i > $o ).

thf(h_type,type,
    h: $i ).

thf(11,axiom,
    p @ h,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_hypothesis) ).

thf(29,plain,
    p @ h,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ~ ( p @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_negated_conjecture) ).

thf(12,plain,
    ! [A: $i] :
      ~ ( p @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(13,plain,
    ! [A: $i] :
      ~ ( p @ A ),
    inference(polarity_switch,[status(thm)],[12]) ).

thf(30,plain,
    $false,
    inference(rewrite,[status(thm)],[29,13]) ).

thf(31,plain,
    $false,
    inference(simp,[status(thm)],[30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN000-1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12  % Command  : run_Leo-III %s %d THM
% 0.11/0.33  % Computer : n026.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 Jun 23 19:40:10 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.95/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.15/0.97  % [INFO] 	 Parsing done (106ms). 
% 1.15/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.63/1.19  % [INFO] 	 eprover registered as external prover. 
% 1.63/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.83/1.25  % [INFO] 	 Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ... 
% 1.83/1.27  % [INFO] 	 Axiom selection finished. Selected 10 axioms (removed 0 axioms). 
% 1.93/1.28  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.93/1.29  % [INFO] 	 Type checking passed. 
% 1.93/1.29  % [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 ... 
% 2.91/1.65  % [INFO] 	 Killing All external provers ... 
% 2.91/1.66  % Time passed: 1132ms (effective reasoning time: 669ms)
% 2.91/1.66  % Axioms used in derivation (1): role_hypothesis
% 2.91/1.66  % No. of inferences in proof: 7
% 2.91/1.66  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1132 ms resp. 669 ms w/o parsing
% 2.91/1.67  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.91/1.67  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------