%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO081^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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 08:59:14 EDT 2024

% Result   : Theorem 2.14s 1.41s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   13 (   1 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (   5   ~;   0   |;   0   &;  22   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^   8   !;   3   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cB_type,type,
    cB: $i ).

thf(cR_type,type,
    cR: $i > $i > $o ).

thf(cA_type,type,
    cA: $i ).

thf(1,conjecture,
    ( ! [A: $i] : ( cR @ A @ cA )
   => ? [A: $i] : ( cR @ cB @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM137) ).

thf(2,negated_conjecture,
    ~ ( ! [A: $i] : ( cR @ A @ cA )
     => ? [A: $i] : ( cR @ cB @ A ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ! [A: $i] : ( cR @ A @ cA )
     => ? [A: $i] : ( cR @ cB @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    ! [A: $i] : ( cR @ A @ cA ),
    inference(cnf,[status(esa)],[3]) ).

thf(4,plain,
    ! [A: $i] :
      ~ ( cR @ cB @ A ),
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    ! [A: $i] :
      ~ ( cR @ cB @ A ),
    inference(simp,[status(thm)],[4]) ).

thf(7,plain,
    ! [B: $i,A: $i] :
      ( ( cR @ A @ cA )
     != ( cR @ cB @ B ) ),
    inference(paramod_ordered,[status(thm)],[5,6]) ).

thf(8,plain,
    $false,
    inference(pattern_uni,[status(thm)],[7:[bind(A,$thf( cB )),bind(B,$thf( cA ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SYO081^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.13  % Command  : run_Leo-III %s %d
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon May 20 09:02:24 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.95/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.01/0.92  % [INFO] 	 Parsing done (90ms). 
% 1.01/0.93  % [INFO] 	 Running in sequential loop mode. 
% 1.44/1.12  % [INFO] 	 nitpick registered as external prover. 
% 1.44/1.12  % [INFO] 	 Scanning for conjecture ... 
% 1.62/1.17  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.72/1.19  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.72/1.19  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.72/1.19  % [INFO] 	 Type checking passed. 
% 1.72/1.20  % [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 ... 
% 2.14/1.40  % [INFO] 	 Killing All external provers ... 
% 2.14/1.41  % Time passed: 904ms (effective reasoning time: 472ms)
% 2.14/1.41  % 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)>
% 2.14/1.41  % Axioms used in derivation (0): 
% 2.14/1.41  % No. of inferences in proof: 8
% 2.14/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 904 ms resp. 472 ms w/o parsing
% 2.14/1.44  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.14/1.44  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------