↑ Up

Leo-III---1.8.0.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR053+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:00:46 AM UTC 2026

% Result   : Theorem 2.49s 1.42s
% Output   : Refutation 2.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   19 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   38 (   6   ~;   2   |;   1   &;  24   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   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_decl,type,
    mtvisible: $i > $o ).

thf(c_tptpgeo_member1_mt_decl,type,
    c_tptpgeo_member1_mt: $i ).

thf(geographicalsubregions_decl,type,
    geographicalsubregions: $i > $i > $o ).

thf(c_georegion_l3_x11_y2_decl,type,
    c_georegion_l3_x11_y2: $i ).

thf(c_georegion_l4_x35_y7_decl,type,
    c_georegion_l4_x35_y7: $i ).

thf(4,axiom,
    ( ( c_tptpgeo_member1_mt @ mtvisible )
   => ( c_georegion_l4_x35_y7 @ ( c_georegion_l3_x11_y2 @ geographicalsubregions ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

thf(15,plain,
    ( ( c_tptpgeo_member1_mt @ mtvisible )
   => ( c_georegion_l4_x35_y7 @ ( c_georegion_l3_x11_y2 @ geographicalsubregions ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(16,plain,
    ( ( c_georegion_l4_x35_y7 @ ( c_georegion_l3_x11_y2 @ geographicalsubregions ) )
    | ~ ( c_tptpgeo_member1_mt @ mtvisible ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(1,conjecture,
    ( ( c_tptpgeo_member1_mt @ mtvisible )
   => ( c_georegion_l4_x35_y7 @ ( c_georegion_l3_x11_y2 @ geographicalsubregions ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query53) ).

thf(2,negated_conjecture,
    ~ ( ( c_tptpgeo_member1_mt @ mtvisible )
     => ( c_georegion_l4_x35_y7 @ ( c_georegion_l3_x11_y2 @ geographicalsubregions ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(9,plain,
    ~ ( ( c_tptpgeo_member1_mt @ mtvisible )
     => ( c_georegion_l4_x35_y7 @ ( c_georegion_l3_x11_y2 @ geographicalsubregions ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(10,plain,
    ( ~ ( c_georegion_l4_x35_y7 @ ( c_georegion_l3_x11_y2 @ geographicalsubregions ) )
    & ( c_tptpgeo_member1_mt @ mtvisible ) ),
    inference(cnf,[status(esa)],[9]) ).

thf(11,plain,
    c_tptpgeo_member1_mt @ mtvisible,
    inference(cnfConj,[status(thm)],[10]) ).

thf(12,plain,
    ~ ( c_georegion_l4_x35_y7 @ ( c_georegion_l3_x11_y2 @ geographicalsubregions ) ),
    inference(cnfConj,[status(thm)],[10]) ).

thf(25,plain,
    ( $false
    | ~ $true ),
    inference(rewrite,[status(thm)],[16,11,12]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR053+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.42  % Computer : n011.cluster.edu
% 0.14/0.42  % Model    : x86_64 x86_64
% 0.14/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42  % Memory   : 8046.5625MB
% 0.14/0.42  % OS       : Linux 6.8.0-71-generic
% 0.14/0.42  % CPULimit : 300
% 0.14/0.42  % WCLimit  : 300
% 0.14/0.42  % DateTime : Sun Sep 27 00:21:15 UTC 2026
% 0.14/0.42  % CPUTime  : 
% 0.14/0.42  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.66/0.74  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.89/0.86  % [INFO] 	 Parsing done (115ms). 
% 0.89/0.86  % [INFO] 	 Running in sequential loop mode. 
% 1.42/1.06  % [INFO] 	 eprover registered as external prover. 
% 1.42/1.07  % [INFO] 	 Scanning for conjecture ... 
% 1.42/1.11  % [INFO] 	 Found a conjecture (or negated_conjecture) and 29 axioms. Running axiom selection ... 
% 1.70/1.14  % [INFO] 	 Axiom selection finished. Selected 6 axioms (removed 23 axioms). 
% 1.70/1.15  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.70/1.15  % [INFO] 	 Type checking passed. 
% 1.70/1.16  % [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 ... 
% 2.49/1.42  % [INFO] 	 Killing All external provers ... 
% 2.49/1.42  % Time passed: 901ms (effective reasoning time: 555ms)
% 2.49/1.42  % 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)>
% 2.49/1.42  % Axioms used in derivation (1): just1
% 2.49/1.42  % No. of inferences in proof: 11
% 2.49/1.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 901 ms resp. 555 ms w/o parsing
% 2.49/1.44  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.49/1.44  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------