TSTP Solution File: SWC255-1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWC255-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n004.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 04:34:38 EDT 2024

% Result   : Unsatisfiable 5.67s 2.47s
% Output   : Refutation 5.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (  11 unt;   7 typ;   0 def)
%            Number of atoms       :   37 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   69 (  16   ~;  11   |;   0   &;  42   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% 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(neq_type,type,
    neq: $i > $i > $o ).

thf(nil_type,type,
    nil: $i ).

thf(singletonP_type,type,
    singletonP: $i > $o ).

thf(7,negated_conjecture,
    ( ( neq @ sk2 @ nil )
    | ( neq @ sk2 @ nil ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

thf(205,plain,
    neq @ sk2 @ nil,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(11,negated_conjecture,
    ( ( singletonP @ sk3 )
    | ~ ( neq @ sk4 @ nil ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

thf(207,plain,
    ( ( singletonP @ sk3 )
    | ~ ( neq @ sk4 @ nil ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(216,plain,
    ( ( singletonP @ sk3 )
    | ~ ( neq @ sk4 @ nil ) ),
    inference(cnf,[status(esa)],[207]) ).

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

thf(201,plain,
    sk1 = sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(211,plain,
    sk3 = sk1,
    inference(lifteq,[status(thm)],[201]) ).

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

thf(198,plain,
    sk2 = sk4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(214,plain,
    sk4 = sk2,
    inference(lifteq,[status(thm)],[198]) ).

thf(646,plain,
    ( ( singletonP @ sk1 )
    | ~ ( neq @ sk2 @ nil ) ),
    inference(rewrite,[status(thm)],[216,211,214]) ).

thf(647,plain,
    ( ( singletonP @ sk1 )
    | ( ( neq @ sk2 @ nil )
     != ( neq @ sk2 @ nil ) ) ),
    inference(paramod_ordered,[status(thm)],[205,646]) ).

thf(648,plain,
    singletonP @ sk1,
    inference(pattern_uni,[status(thm)],[647:[]]) ).

thf(12,negated_conjecture,
    ( ~ ( singletonP @ sk1 )
    | ~ ( neq @ sk4 @ nil ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

thf(204,plain,
    ( ~ ( singletonP @ sk1 )
    | ~ ( neq @ sk4 @ nil ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(212,plain,
    ( ~ ( singletonP @ sk1 )
    | ~ ( neq @ sk4 @ nil ) ),
    inference(cnf,[status(esa)],[204]) ).

thf(642,plain,
    ( ~ ( singletonP @ sk1 )
    | ~ ( neq @ sk2 @ nil ) ),
    inference(rewrite,[status(thm)],[212,214]) ).

thf(643,plain,
    ( ~ ( singletonP @ sk1 )
    | ( ( neq @ sk2 @ nil )
     != ( neq @ sk2 @ nil ) ) ),
    inference(paramod_ordered,[status(thm)],[205,642]) ).

thf(644,plain,
    ~ ( singletonP @ sk1 ),
    inference(pattern_uni,[status(thm)],[643:[]]) ).

thf(654,plain,
    $false,
    inference(rewrite,[status(thm)],[648,644]) ).

thf(655,plain,
    $false,
    inference(simp,[status(thm)],[654]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC255-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.37  % Computer : n004.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Sun May 19 02:35:24 EDT 2024
% 0.14/0.37  % CPUTime  : 
% 1.02/0.92  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.53/1.09  % [INFO] 	 Parsing done (171ms). 
% 1.53/1.10  % [INFO] 	 Running in sequential loop mode. 
% 1.88/1.30  % [INFO] 	 nitpick registered as external prover. 
% 1.88/1.31  % [INFO] 	 Scanning for conjecture ... 
% 2.26/1.39  % [INFO] 	 Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ... 
% 2.56/1.47  % [INFO] 	 Axiom selection finished. Selected 185 axioms (removed 0 axioms). 
% 2.83/1.58  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.83/1.59  % [INFO] 	 Type checking passed. 
% 2.83/1.59  % [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 ... 
% 5.67/2.46  % [INFO] 	 Killing All external provers ... 
% 5.67/2.47  % Time passed: 1937ms (effective reasoning time: 1364ms)
% 5.67/2.47  % Axioms used in derivation (0): 
% 5.67/2.47  % No. of inferences in proof: 22
% 5.67/2.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1937 ms resp. 1364 ms w/o parsing
% 5.67/2.48  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.67/2.48  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------