TSTP Solution File: SWC288-1 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWC288-1 : 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 04:34:47 EDT 2024

% Result   : Unsatisfiable 73.00s 12.25s
% Output   : Refutation 73.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   37 (  16 unt;   7 typ;   0 def)
%            Number of atoms       :   48 (  22 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   70 (  10   ~;  14   |;   0   &;  46   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

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

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

thf(strictorderedP_type,type,
    strictorderedP: $i > $o ).

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

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

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

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(7,negated_conjecture,
    ~ ( strictorderedP @ sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

thf(219,plain,
    ~ ( strictorderedP @ sk1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(245,plain,
    ~ ( strictorderedP @ sk1 ),
    inference(polarity_switch,[status(thm)],[219]) ).

thf(9,negated_conjecture,
    ( ( ssItem @ sk5 )
    | ( nil = sk3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

thf(214,plain,
    ( ( ssItem @ sk5 )
    | ( nil = sk3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(251,plain,
    ( ( ssItem @ sk5 )
    | ( nil = sk3 ) ),
    inference(cnf,[status(esa)],[214]) ).

thf(252,plain,
    ( ( nil = sk3 )
    | ( ssItem @ sk5 ) ),
    inference(lifteq,[status(thm)],[251]) ).

thf(6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

thf(212,plain,
    sk1 = sk3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(244,plain,
    sk3 = sk1,
    inference(lifteq,[status(thm)],[212]) ).

thf(901,plain,
    ( ( nil = sk1 )
    | ( ssItem @ sk5 ) ),
    inference(rewrite,[status(thm)],[252,244]) ).

thf(197,axiom,
    strictorderedP @ nil,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

thf(659,plain,
    strictorderedP @ nil,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).

thf(802,plain,
    ( ( strictorderedP @ nil )
   != ( strictorderedP @ sk1 ) ),
    inference(paramod_ordered,[status(thm)],[659,245]) ).

thf(805,plain,
    nil != sk1,
    inference(simp,[status(thm)],[802]) ).

thf(902,plain,
    ssItem @ sk5,
    inference(simplifyReflect,[status(thm)],[901,805]) ).

thf(67,axiom,
    ! [A: $i] :
      ( ~ ( ssItem @ A )
      | ( strictorderedP @ ( cons @ A @ nil ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

thf(365,plain,
    ! [A: $i] :
      ( ~ ( ssItem @ A )
      | ( strictorderedP @ ( cons @ A @ nil ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(366,plain,
    ! [A: $i] :
      ( ~ ( ssItem @ A )
      | ( strictorderedP @ ( cons @ A @ nil ) ) ),
    inference(cnf,[status(esa)],[365]) ).

thf(21675,plain,
    ! [A: $i] :
      ( ( strictorderedP @ ( cons @ A @ nil ) )
      | ( ( ssItem @ sk5 )
       != ( ssItem @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[902,366]) ).

thf(21676,plain,
    strictorderedP @ ( cons @ sk5 @ nil ),
    inference(pattern_uni,[status(thm)],[21675:[bind(A,$thf( sk5 ))]]) ).

thf(18,negated_conjecture,
    ( ( ( cons @ sk5 @ nil )
      = sk3 )
    | ( nil = sk3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

thf(221,plain,
    ( ( ( cons @ sk5 @ nil )
      = sk3 )
    | ( nil = sk3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(230,plain,
    ( ( ( cons @ sk5 @ nil )
      = sk3 )
    | ( nil = sk3 ) ),
    inference(cnf,[status(esa)],[221]) ).

thf(231,plain,
    ( ( ( cons @ sk5 @ nil )
      = sk3 )
    | ( nil = sk3 ) ),
    inference(lifteq,[status(thm)],[230]) ).

thf(684,plain,
    ( ( ( cons @ sk5 @ nil )
      = sk1 )
    | ( nil = sk1 ) ),
    inference(rewrite,[status(thm)],[231,244]) ).

thf(808,plain,
    ( ( cons @ sk5 @ nil )
    = sk1 ),
    inference(simplifyReflect,[status(thm)],[684,805]) ).

thf(21783,plain,
    strictorderedP @ sk1,
    inference(rewrite,[status(thm)],[21676,808]) ).

thf(21784,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[245,21783]) ).

thf(21785,plain,
    $false,
    inference(simp,[status(thm)],[21784]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWC288-1 : TPTP v8.2.0. Released v2.4.0.
% 0.16/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n003.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sun May 19 03:23:39 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.98/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.24/1.03  % [INFO] 	 Parsing done (152ms). 
% 1.53/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.96/1.24  % [INFO] 	 nitpick registered as external prover. 
% 1.96/1.24  % [INFO] 	 Scanning for conjecture ... 
% 2.18/1.33  % [INFO] 	 Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ... 
% 2.30/1.41  % [INFO] 	 Axiom selection finished. Selected 185 axioms (removed 0 axioms). 
% 2.75/1.50  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.75/1.51  % [INFO] 	 Type checking passed. 
% 2.75/1.52  % [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 ... 
% 73.00/12.24  % [INFO] 	 Killing All external provers ... 
% 73.00/12.24  % Time passed: 11703ms (effective reasoning time: 11198ms)
% 73.00/12.24  % Axioms used in derivation (2): clause3, clause66
% 73.00/12.24  % No. of inferences in proof: 30
% 73.00/12.25  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 11703 ms resp. 11198 ms w/o parsing
% 73.00/12.26  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 73.00/12.26  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------