%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYN336+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n025.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 08:18:05 EDT 2024

% Result   : Theorem 2.56s 1.61s
% Output   : Refutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   21 (   1 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   58 (   4   ~;   0   |;   0   &;  42   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^  12   !;   6   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_f_type,type,
    big_f: $i > $i > $o ).

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

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

thf(1,conjecture,
    ! [A: $i] :
    ? [B: $i,C: $i] :
    ! [D: $i] :
      ( ( big_f @ A @ D )
     => ( ( big_f @ B @ D )
       => ( ( big_f @ C @ D )
         => ( ( big_f @ B @ A )
           => ( big_f @ D @ C ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_15_1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
      ? [B: $i,C: $i] :
      ! [D: $i] :
        ( ( big_f @ A @ D )
       => ( ( big_f @ B @ D )
         => ( ( big_f @ C @ D )
           => ( ( big_f @ B @ A )
             => ( big_f @ D @ C ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: $i] :
      ? [B: $i,C: $i] :
      ! [D: $i] :
        ( ( big_f @ A @ D )
       => ( ( big_f @ B @ D )
         => ( ( big_f @ C @ D )
           => ( ( big_f @ B @ A )
             => ( big_f @ D @ C ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(8,plain,
    ! [A: $i] : ( big_f @ A @ sk1 ),
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    ! [B: $i,A: $i] :
      ~ ( big_f @ ( sk2 @ B @ A ) @ B ),
    inference(cnf,[status(esa)],[3]) ).

thf(11,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( big_f @ A @ sk1 )
     != ( big_f @ ( sk2 @ C @ B ) @ C ) ),
    inference(paramod_ordered,[status(thm)],[8,6]) ).

thf(12,plain,
    $false,
    inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( sk2 @ sk1 @ E )),bind(B,$thf( E )),bind(C,$thf( sk1 ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN336+1 : TPTP v8.2.0. Released v2.0.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n025.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
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon May 20 14:53:24 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.99/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.17/0.96  % [INFO] 	 Parsing done (93ms). 
% 1.17/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.41/1.17  % [INFO] 	 nitpick registered as external prover. 
% 1.41/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.72/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.72/1.25  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.72/1.25  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.83/1.25  % [INFO] 	 Type checking passed. 
% 1.83/1.25  % [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 ... 
% 2.56/1.56  % [INFO] 	 Killing All external provers ... 
% 2.56/1.61  % Time passed: 1082ms (effective reasoning time: 640ms)
% 2.56/1.61  % 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)>
% 2.56/1.61  % Axioms used in derivation (0): 
% 2.56/1.61  % No. of inferences in proof: 7
% 2.56/1.61  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1082 ms resp. 640 ms w/o parsing
% 2.56/1.63  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.56/1.63  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------