TSTP Solution File: SWC385-1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWC385-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n003.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 04:35:09 EDT 2024

% Result   : Unsatisfiable 5.45s 2.38s
% Output   : Refutation 5.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   32 (  15 unt;   8 typ;   0 def)
%            Number of atoms       :   35 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   62 (  14   ~;   9   |;   0   &;  39   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   7 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(segmentP_type,type,
    segmentP: $i > $i > $o ).

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

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

thf(202,plain,
    neq @ sk2 @ nil,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(9,negated_conjecture,
    ( ( singletonP @ sk3 )
    | ~ ( neq @ sk4 @ nil ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

thf(200,plain,
    ( ( singletonP @ sk3 )
    | ~ ( neq @ sk4 @ nil ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(209,plain,
    ( ( singletonP @ sk3 )
    | ~ ( neq @ sk4 @ nil ) ),
    inference(cnf,[status(esa)],[200]) ).

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

thf(199,plain,
    sk1 = sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(208,plain,
    sk3 = sk1,
    inference(lifteq,[status(thm)],[199]) ).

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

thf(196,plain,
    sk2 = sk4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(206,plain,
    sk4 = sk2,
    inference(lifteq,[status(thm)],[196]) ).

thf(641,plain,
    ( ( singletonP @ sk1 )
    | ~ ( neq @ sk2 @ nil ) ),
    inference(rewrite,[status(thm)],[209,208,206]) ).

thf(642,plain,
    ( ( singletonP @ sk1 )
    | ( ( neq @ sk2 @ nil )
     != ( neq @ sk2 @ nil ) ) ),
    inference(paramod_ordered,[status(thm)],[202,641]) ).

thf(643,plain,
    singletonP @ sk1,
    inference(pattern_uni,[status(thm)],[642:[]]) ).

thf(10,negated_conjecture,
    ( ~ ( singletonP @ sk1 )
    | ~ ( segmentP @ sk2 @ sk1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

thf(197,plain,
    ( ~ ( singletonP @ sk1 )
    | ~ ( segmentP @ sk2 @ sk1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(207,plain,
    ( ~ ( singletonP @ sk1 )
    | ~ ( segmentP @ sk2 @ sk1 ) ),
    inference(cnf,[status(esa)],[197]) ).

thf(8,negated_conjecture,
    segmentP @ sk4 @ sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

thf(204,plain,
    segmentP @ sk4 @ sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(634,plain,
    segmentP @ sk2 @ sk1,
    inference(rewrite,[status(thm)],[204,208,206]) ).

thf(635,plain,
    ( ~ ( singletonP @ sk1 )
    | ~ $true ),
    inference(rewrite,[status(thm)],[207,634]) ).

thf(636,plain,
    ~ ( singletonP @ sk1 ),
    inference(simp,[status(thm)],[635]) ).

thf(644,plain,
    $false,
    inference(rewrite,[status(thm)],[643,636]) ).

thf(645,plain,
    $false,
    inference(simp,[status(thm)],[644]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC385-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n003.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sun May 19 02:48:39 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.93/0.92  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.58/1.10  % [INFO] 	 Parsing done (182ms). 
% 1.58/1.11  % [INFO] 	 Running in sequential loop mode. 
% 2.01/1.31  % [INFO] 	 nitpick registered as external prover. 
% 2.01/1.32  % [INFO] 	 Scanning for conjecture ... 
% 2.28/1.40  % [INFO] 	 Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ... 
% 2.55/1.47  % [INFO] 	 Axiom selection finished. Selected 185 axioms (removed 0 axioms). 
% 2.87/1.56  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.98/1.57  % [INFO] 	 Type checking passed. 
% 2.98/1.58  % [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 ... 
% 5.45/2.38  % [INFO] 	 Killing All external provers ... 
% 5.45/2.38  % Time passed: 1842ms (effective reasoning time: 1267ms)
% 5.45/2.38  % Axioms used in derivation (0): 
% 5.45/2.38  % No. of inferences in proof: 24
% 5.45/2.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1842 ms resp. 1267 ms w/o parsing
% 5.45/2.40  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.45/2.40  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------