TSTP Solution File: CSR069+1 by Leo-III-SAT---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : CSR069+1 : TPTP v8.1.2. Released v3.4.0.
% 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  7 10:28:51 EDT 2024

% Result   : Theorem 2.81s 1.74s
% Output   : Refutation 2.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :   17 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   33 (   5   ~;   2   |;   0   &;  21   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
    mtvisible: $i > $o ).

thf(c_tptpgeo_member1_mt_type,type,
    c_tptpgeo_member1_mt: $i ).

thf(borderson_type,type,
    borderson: $i > $i > $o ).

thf(c_georegion_l4_x38_y24_type,type,
    c_georegion_l4_x38_y24: $i ).

thf(c_georegion_l4_x39_y24_type,type,
    c_georegion_l4_x39_y24: $i ).

thf(7,axiom,
    ( ( mtvisible @ c_tptpgeo_member1_mt )
   => ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

thf(21,plain,
    ( ( mtvisible @ c_tptpgeo_member1_mt )
   => ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(22,plain,
    ( ~ ( mtvisible @ c_tptpgeo_member1_mt )
    | ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) ),
    inference(cnf,[status(esa)],[21]) ).

thf(1,conjecture,
    ( ( mtvisible @ c_tptpgeo_member1_mt )
   => ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query69) ).

thf(2,negated_conjecture,
    ~ ( ( mtvisible @ c_tptpgeo_member1_mt )
     => ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(9,plain,
    ~ ( ( mtvisible @ c_tptpgeo_member1_mt )
     => ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(10,plain,
    ~ ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ),
    inference(cnf,[status(esa)],[9]) ).

thf(11,plain,
    mtvisible @ c_tptpgeo_member1_mt,
    inference(cnf,[status(esa)],[9]) ).

thf(25,plain,
    ( ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[22,10,11]) ).

thf(26,plain,
    $false,
    inference(simp,[status(thm)],[25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : CSR069+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.38  % Computer : n019.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Mon May  6 23:22:39 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.97/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.43/1.08  % [INFO] 	 Parsing done (170ms). 
% 1.43/1.09  % [INFO] 	 Running in sequential loop mode. 
% 1.91/1.35  % [INFO] 	 nitpick registered as external prover. 
% 1.91/1.35  % [INFO] 	 Scanning for conjecture ... 
% 2.03/1.41  % [INFO] 	 Found a conjecture and 29 axioms. Running axiom selection ... 
% 2.28/1.45  % [INFO] 	 Axiom selection finished. Selected 6 axioms (removed 23 axioms). 
% 2.28/1.46  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.28/1.46  % [INFO] 	 Type checking passed. 
% 2.28/1.47  % [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 ... 
% 2.81/1.73  % [INFO] 	 Killing All external provers ... 
% 2.81/1.74  % Time passed: 1190ms (effective reasoning time: 638ms)
% 2.81/1.74  % 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)>
% 2.81/1.74  % Axioms used in derivation (1): just1
% 2.81/1.74  % No. of inferences in proof: 10
% 2.81/1.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1190 ms resp. 638 ms w/o parsing
% 2.81/1.76  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.81/1.76  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------