↑ Up

Leo-III---1.8.0.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MGT017-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n014.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 08:00:35 AM UTC 2026

% Result   : Unsatisfiable 3.45s 2.64s
% Output   : Refutation 3.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   33 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :   77 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  292 (  46   ~;  44   |;   0   &; 202   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;  10 con; 0-3 aty)
%            Number of variables   :   40 (   0   ^;  40   !;   0   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(organization_decl,type,
    organization: $i > $i > $o ).

thf(sk2_decl,type,
    sk2: $i ).

thf(sk8_decl,type,
    sk8: $i ).

thf(sk3_decl,type,
    sk3: $i ).

thf(sk10_decl,type,
    sk10: $i ).

thf(class_decl,type,
    class: $i > $i > $i > $o ).

thf(sk5_decl,type,
    sk5: $i ).

thf(reorganization_decl,type,
    reorganization: $i > $i > $i > $o ).

thf(sk9_decl,type,
    sk9: $i ).

thf(reorganization_type_decl,type,
    reorganization_type: $i > $i > $i > $o ).

thf(sk4_decl,type,
    sk4: $i ).

thf(size_decl,type,
    size: $i > $i > $i > $o ).

thf(sk6_decl,type,
    sk6: $i ).

thf(sk7_decl,type,
    sk7: $i ).

thf(greater_decl,type,
    greater: $i > $i > $o ).

thf(inertia_decl,type,
    inertia: $i > $i > $i > $o ).

thf(sk1_decl,type,
    sk1: $i > $i > $i ).

thf(5,negated_conjecture,
    sk8 @ ( sk5 @ ( sk3 @ class ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_8) ).

thf(17,plain,
    sk8 @ ( sk5 @ ( sk3 @ class ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(16,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( F @ ( D @ greater ) )
      | ~ ( H @ ( I @ greater ) )
      | ~ ( B @ ( I @ ( C @ inertia ) ) )
      | ~ ( B @ ( H @ ( A @ inertia ) ) )
      | ~ ( B @ ( G @ ( C @ reorganization_type ) ) )
      | ~ ( B @ ( G @ ( A @ reorganization_type ) ) )
      | ~ ( D @ ( B @ ( C @ reorganization ) ) )
      | ~ ( F @ ( B @ ( A @ reorganization ) ) )
      | ~ ( B @ ( E @ ( C @ class ) ) )
      | ~ ( B @ ( E @ ( A @ class ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_FOL_3) ).

thf(35,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( F @ ( D @ greater ) )
      | ~ ( H @ ( I @ greater ) )
      | ~ ( B @ ( I @ ( C @ inertia ) ) )
      | ~ ( B @ ( H @ ( A @ inertia ) ) )
      | ~ ( B @ ( G @ ( C @ reorganization_type ) ) )
      | ~ ( B @ ( G @ ( A @ reorganization_type ) ) )
      | ~ ( D @ ( B @ ( C @ reorganization ) ) )
      | ~ ( F @ ( B @ ( A @ reorganization ) ) )
      | ~ ( B @ ( E @ ( C @ class ) ) )
      | ~ ( B @ ( E @ ( A @ class ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(10,negated_conjecture,
    sk8 @ ( sk6 @ ( sk2 @ size ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_13) ).

thf(18,plain,
    sk8 @ ( sk6 @ ( sk2 @ size ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(14,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ( B @ sk1 ) @ ( A @ inertia ) ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_1) ).

thf(31,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ( B @ sk1 ) @ ( A @ inertia ) ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(1,negated_conjecture,
    sk8 @ ( sk2 @ organization ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_4) ).

thf(19,plain,
    sk8 @ ( sk2 @ organization ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(12,negated_conjecture,
    sk6 @ ( sk7 @ greater ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_15) ).

thf(24,plain,
    sk6 @ ( sk7 @ greater ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(7,negated_conjecture,
    sk10 @ ( sk8 @ ( sk3 @ reorganization ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_10) ).

thf(25,plain,
    sk10 @ ( sk8 @ ( sk3 @ reorganization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(6,negated_conjecture,
    sk9 @ ( sk8 @ ( sk2 @ reorganization ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_9) ).

thf(20,plain,
    sk9 @ ( sk8 @ ( sk2 @ reorganization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(4,negated_conjecture,
    sk8 @ ( sk5 @ ( sk2 @ class ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_7) ).

thf(29,plain,
    sk8 @ ( sk5 @ ( sk2 @ class ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(8,negated_conjecture,
    sk8 @ ( sk4 @ ( sk2 @ reorganization_type ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_11) ).

thf(28,plain,
    sk8 @ ( sk4 @ ( sk2 @ reorganization_type ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(9,negated_conjecture,
    sk8 @ ( sk4 @ ( sk3 @ reorganization_type ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_12) ).

thf(21,plain,
    sk8 @ ( sk4 @ ( sk3 @ reorganization_type ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(15,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( H @ ( I @ greater ) )
      | ~ ( F @ ( G @ greater ) )
      | ~ ( D @ ( I @ ( C @ inertia ) ) )
      | ~ ( B @ ( H @ ( A @ inertia ) ) )
      | ~ ( D @ ( G @ ( C @ size ) ) )
      | ~ ( B @ ( F @ ( A @ size ) ) )
      | ~ ( D @ ( E @ ( C @ class ) ) )
      | ~ ( B @ ( E @ ( A @ class ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_2) ).

thf(33,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( H @ ( I @ greater ) )
      | ~ ( F @ ( G @ greater ) )
      | ~ ( D @ ( I @ ( C @ inertia ) ) )
      | ~ ( B @ ( H @ ( A @ inertia ) ) )
      | ~ ( D @ ( G @ ( C @ size ) ) )
      | ~ ( B @ ( F @ ( A @ size ) ) )
      | ~ ( D @ ( E @ ( C @ class ) ) )
      | ~ ( B @ ( E @ ( A @ class ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(13,negated_conjecture,
    ~ ( sk9 @ ( sk10 @ greater ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_16) ).

thf(22,plain,
    ~ ( sk9 @ ( sk10 @ greater ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(11,negated_conjecture,
    sk8 @ ( sk7 @ ( sk3 @ size ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_14) ).

thf(27,plain,
    sk8 @ ( sk7 @ ( sk3 @ size ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(3,negated_conjecture,
    sk10 @ ( sk3 @ organization ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_6) ).

thf(26,plain,
    sk10 @ ( sk3 @ organization ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(2,negated_conjecture,
    sk8 @ ( sk3 @ organization ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_5) ).

thf(23,plain,
    sk8 @ ( sk3 @ organization ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(37,plain,
    $false,
    inference(e,[status(thm)],[17,35,18,31,19,24,25,20,29,28,21,33,22,27,26,23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT017-1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.14/0.41  % Computer : n014.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Sat Sep 26 00:03:32 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  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
% 0.91/1.10  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.25/1.33  % [INFO] 	 Parsing done (233ms). 
% 1.25/1.35  % [INFO] 	 Running in sequential loop mode. 
% 1.88/1.86  % [INFO] 	 eprover registered as external prover. 
% 1.88/1.87  % [INFO] 	 Scanning for conjecture ... 
% 2.06/2.00  % [INFO] 	 Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ... 
% 2.23/2.05  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 2.23/2.08  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.23/2.08  % [INFO] 	 Type checking passed. 
% 2.23/2.09  % [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 ... 
% 3.45/2.64  % External prover 'e' found a proof!
% 3.45/2.64  % [INFO] 	 Killing All external provers ... 
% 3.45/2.64  % Time passed: 2058ms (effective reasoning time: 1281ms)
% 3.45/2.64  % Axioms used in derivation (3): a13_FOL_3, mp5_1, a5_FOL_2
% 3.45/2.64  % No. of inferences in proof: 33
% 3.45/2.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2058 ms resp. 1281 ms w/o parsing
% 3.45/2.69  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.45/2.69  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------