TSTP Solution File: SWC349-1 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWC349-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n015.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 04:35:00 EDT 2024

% Result   : Unsatisfiable 276.62s 50.47s
% Output   : Refutation 276.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (  15 unt;   6 typ;   0 def)
%            Number of atoms       :   27 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (  11   ~;   5   |;   0   &;  26   @)
%                                         (   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 (   6 usr;   6 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk1_type,type,
    sk1: $i ).

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

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

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

thf(frontsegP_type,type,
    frontsegP: $i > $i > $o ).

thf(136,axiom,
    ! [A: $i] :
      ( ~ ( ssList @ A )
      | ( frontsegP @ A @ nil ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

thf(488,plain,
    ! [A: $i] :
      ( ~ ( ssList @ A )
      | ( frontsegP @ A @ nil ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).

thf(489,plain,
    ! [A: $i] :
      ( ~ ( ssList @ A )
      | ( frontsegP @ A @ nil ) ),
    inference(cnf,[status(esa)],[488]) ).

thf(5,negated_conjecture,
    nil = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

thf(195,plain,
    nil = sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(206,plain,
    nil = sk3,
    inference(lifteq,[status(thm)],[195]) ).

thf(7,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

thf(200,plain,
    sk1 = sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(207,plain,
    sk3 = sk1,
    inference(lifteq,[status(thm)],[200]) ).

thf(632,plain,
    nil = sk1,
    inference(rewrite,[status(thm)],[206,207]) ).

thf(136932,plain,
    ! [A: $i] :
      ( ~ ( ssList @ A )
      | ( frontsegP @ A @ sk1 ) ),
    inference(rewrite,[status(thm)],[489,632]) ).

thf(9,negated_conjecture,
    ~ ( frontsegP @ sk2 @ sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

thf(198,plain,
    ~ ( frontsegP @ sk2 @ sk1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(205,plain,
    ~ ( frontsegP @ sk2 @ sk1 ),
    inference(polarity_switch,[status(thm)],[198]) ).

thf(136996,plain,
    ! [A: $i] :
      ( ~ ( ssList @ A )
      | ( ( frontsegP @ A @ sk1 )
       != ( frontsegP @ sk2 @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[136932,205]) ).

thf(136997,plain,
    ~ ( ssList @ sk2 ),
    inference(pattern_uni,[status(thm)],[136996:[bind(A,$thf( sk2 ))]]) ).

thf(2,negated_conjecture,
    ssList @ sk2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

thf(199,plain,
    ssList @ sk2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(137159,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[136997,199]) ).

thf(137160,plain,
    $false,
    inference(simp,[status(thm)],[137159]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC349-1 : TPTP v8.2.0. Released v2.4.0.
% 0.14/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n015.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Sun May 19 03:16:24 EDT 2024
% 0.21/0.37  % CPUTime  : 
% 0.89/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.21/1.03  % [INFO] 	 Parsing done (175ms). 
% 1.54/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.94/1.28  % [INFO] 	 nitpick registered as external prover. 
% 1.94/1.28  % [INFO] 	 Scanning for conjecture ... 
% 2.22/1.38  % [INFO] 	 Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ... 
% 2.49/1.47  % [INFO] 	 Axiom selection finished. Selected 185 axioms (removed 0 axioms). 
% 2.79/1.57  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.79/1.58  % [INFO] 	 Type checking passed. 
% 2.79/1.59  % [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 ... 
% 276.62/50.46  % [INFO] 	 Killing All external provers ... 
% 276.62/50.47  % Time passed: 49920ms (effective reasoning time: 49418ms)
% 276.62/50.47  % Axioms used in derivation (1): clause60
% 276.62/50.47  % No. of inferences in proof: 20
% 276.62/50.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 49920 ms resp. 49418 ms w/o parsing
% 276.73/50.48  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 276.73/50.48  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------