%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWV414+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n016.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 05:51:37 EDT 2024

% Result   : Theorem 5.43s 2.18s
% Output   : Refutation 5.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  11 unt;   6 typ;   0 def)
%            Number of atoms       :   11 (  10 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   41 (   5   ~;   0   |;   0   &;  36   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   11 (   0   ^  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(i_type,type,
    i: $i > $i ).

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

thf(create_pqp_type,type,
    create_pqp: $i ).

thf(create_slb_type,type,
    create_slb: $i ).

thf(create_pq_type,type,
    create_pq: $i ).

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

thf(1,conjecture,
    ! [A: $i] :
      ( ( i @ ( triple @ create_pqp @ create_slb @ A ) )
      = create_pq ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ( ( i @ ( triple @ create_pqp @ create_slb @ A ) )
        = create_pq ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(65,plain,
    ~ ! [A: $i] :
        ( ( i @ ( triple @ create_pqp @ create_slb @ A ) )
        = create_pq ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(66,plain,
    ( ( i @ ( triple @ create_pqp @ create_slb @ sk1 ) )
   != create_pq ),
    inference(cnf,[status(esa)],[65]) ).

thf(67,plain,
    ( ( i @ ( triple @ create_pqp @ create_slb @ sk1 ) )
   != create_pq ),
    inference(lifteq,[status(thm)],[66]) ).

thf(62,axiom,
    ! [A: $i,B: $i] :
      ( ( i @ ( triple @ A @ create_slb @ B ) )
      = create_pq ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).

thf(286,plain,
    ! [A: $i,B: $i] :
      ( ( i @ ( triple @ A @ create_slb @ B ) )
      = create_pq ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(287,plain,
    ! [B: $i,A: $i] :
      ( ( i @ ( triple @ A @ create_slb @ B ) )
      = create_pq ),
    inference(cnf,[status(esa)],[286]) ).

thf(288,plain,
    ! [B: $i,A: $i] :
      ( ( i @ ( triple @ A @ create_slb @ B ) )
      = create_pq ),
    inference(lifteq,[status(thm)],[287]) ).

thf(309,plain,
    create_pq != create_pq,
    inference(rewrite,[status(thm)],[67,288]) ).

thf(310,plain,
    $false,
    inference(simp,[status(thm)],[309]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV414+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun May 19 09:51:54 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.93/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.19/0.98  % [INFO] 	 Parsing done (137ms). 
% 1.19/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.76/1.19  % [INFO] 	 nitpick registered as external prover. 
% 1.76/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.96/1.25  % [INFO] 	 Found a conjecture (or negated_conjecture) and 62 axioms. Running axiom selection ... 
% 2.10/1.30  % [INFO] 	 Axiom selection finished. Selected 62 axioms (removed 0 axioms). 
% 2.42/1.37  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.42/1.38  % [INFO] 	 Type checking passed. 
% 2.42/1.38  % [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 ... 
% 5.43/2.18  % [INFO] 	 Killing All external provers ... 
% 5.43/2.18  % Time passed: 1665ms (effective reasoning time: 1186ms)
% 5.43/2.18  % Solved by 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)>
% 5.43/2.18  % Axioms used in derivation (1): ax54
% 5.43/2.18  % No. of inferences in proof: 11
% 5.43/2.18  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1665 ms resp. 1186 ms w/o parsing
% 5.43/2.20  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.43/2.20  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------