TSTP Solution File: SWC405-1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWC405-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 04:35:14 EDT 2024

% Result   : Unsatisfiable 6.01s 2.43s
% Output   : Refutation 6.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   28 (  14 unt;   7 typ;   0 def)
%            Number of atoms       :   35 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   72 (  18   ~;  12   |;   0   &;  42   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   7 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk1_type,type,
    sk1: $i ).

thf(sk2_type,type,
    sk2: $i ).

thf(sk3_type,type,
    sk3: $i ).

thf(sk4_type,type,
    sk4: $i ).

thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(sk5_type,type,
    sk5: $i ).

thf(7,negated_conjecture,
    ! [A: $i] :
      ( ~ ( ssItem @ A )
      | ( memberP @ sk4 @ A )
      | ~ ( memberP @ sk3 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

thf(203,plain,
    ! [A: $i] :
      ( ~ ( ssItem @ A )
      | ( memberP @ sk4 @ A )
      | ~ ( memberP @ sk3 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(211,plain,
    ! [A: $i] :
      ( ~ ( ssItem @ A )
      | ( memberP @ sk4 @ A )
      | ~ ( memberP @ sk3 @ A ) ),
    inference(cnf,[status(esa)],[203]) ).

thf(5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

thf(197,plain,
    sk2 = sk4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(209,plain,
    sk4 = sk2,
    inference(lifteq,[status(thm)],[197]) ).

thf(6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

thf(200,plain,
    sk1 = sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(212,plain,
    sk3 = sk1,
    inference(lifteq,[status(thm)],[200]) ).

thf(647,plain,
    ! [A: $i] :
      ( ~ ( ssItem @ A )
      | ( memberP @ sk2 @ A )
      | ~ ( memberP @ sk1 @ A ) ),
    inference(rewrite,[status(thm)],[211,209,212]) ).

thf(11,negated_conjecture,
    ~ ( memberP @ sk2 @ sk5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

thf(205,plain,
    ~ ( memberP @ sk2 @ sk5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(210,plain,
    ~ ( memberP @ sk2 @ sk5 ),
    inference(polarity_switch,[status(thm)],[205]) ).

thf(651,plain,
    ! [A: $i] :
      ( ~ ( ssItem @ A )
      | ~ ( memberP @ sk1 @ A )
      | ( ( memberP @ sk2 @ A )
       != ( memberP @ sk2 @ sk5 ) ) ),
    inference(paramod_ordered,[status(thm)],[647,210]) ).

thf(652,plain,
    ( ~ ( ssItem @ sk5 )
    | ~ ( memberP @ sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[651:[bind(A,$thf( sk5 ))]]) ).

thf(10,negated_conjecture,
    memberP @ sk1 @ sk5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

thf(198,plain,
    memberP @ sk1 @ sk5,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(9,negated_conjecture,
    ssItem @ sk5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

thf(201,plain,
    ssItem @ sk5,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(663,plain,
    ( ~ $true
    | ~ $true ),
    inference(rewrite,[status(thm)],[652,198,201]) ).

thf(664,plain,
    $false,
    inference(simp,[status(thm)],[663]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWC405-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun May 19 03:37:54 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.85/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.51/1.01  % [INFO] 	 Parsing done (168ms). 
% 1.51/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.93/1.23  % [INFO] 	 nitpick registered as external prover. 
% 1.93/1.23  % [INFO] 	 Scanning for conjecture ... 
% 2.03/1.32  % [INFO] 	 Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ... 
% 2.52/1.40  % [INFO] 	 Axiom selection finished. Selected 185 axioms (removed 0 axioms). 
% 2.80/1.50  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.92/1.51  % [INFO] 	 Type checking passed. 
% 2.92/1.51  % [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 ... 
% 6.01/2.42  % [INFO] 	 Killing All external provers ... 
% 6.01/2.43  % Time passed: 1924ms (effective reasoning time: 1409ms)
% 6.01/2.43  % Axioms used in derivation (0): 
% 6.01/2.43  % No. of inferences in proof: 21
% 6.01/2.43  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1924 ms resp. 1409 ms w/o parsing
% 6.01/2.44  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.01/2.44  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------