%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO043^1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n002.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 08:55:34 EDT 2024

% Result   : Unsatisfiable 3.13s 1.86s
% Output   : Refutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   81 (   6 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   67 (  15   ~;   4   |;   4   &;  44   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $o > $o ).

thf(q_type,type,
    q: ( $o > $o ) > $o > $o ).

thf(x_type,type,
    x: $o ).

thf(1,axiom,
    ( ( q @ f @ x )
    & ( f @ ( f @ x ) )
    & ( ( f @ ( q @ f @ x ) )
     != ( f @ x ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',5) ).

thf(2,plain,
    ( ( q @ f @ x )
    & ( f @ ( f @ x ) )
    & ( ( f @ ( q @ f @ x ) )
     != ( f @ x ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(4,plain,
    f @ ( f @ x ),
    inference(cnf,[status(esa)],[2]) ).

thf(3,plain,
    ( ( f @ ( q @ f @ x ) )
   != ( f @ x ) ),
    inference(cnf,[status(esa)],[2]) ).

thf(6,plain,
    ( ( f @ ( q @ f @ x ) )
   != ( f @ x ) ),
    inference(lifteq,[status(thm)],[3]) ).

thf(5,plain,
    q @ f @ x,
    inference(cnf,[status(esa)],[2]) ).

thf(9,plain,
    ( ( f @ x )
   != ( f @ $true ) ),
    inference(rewrite,[status(thm)],[6,5]) ).

thf(10,plain,
    ~ x,
    inference(simp,[status(thm)],[9]) ).

thf(15,plain,
    f @ ( f @ $false ),
    inference(rewrite,[status(thm)],[4,10]) ).

thf(11,plain,
    ( ~ ( f @ x )
    | ~ ( f @ $true ) ),
    inference(bool_ext,[status(thm)],[9]) ).

thf(18,plain,
    ( ~ ( f @ $false )
    | ~ ( f @ $true ) ),
    inference(rewrite,[status(thm)],[11,10]) ).

thf(27,plain,
    ( ~ ( f @ $false )
    | ( ( f @ ( f @ $false ) )
     != ( f @ $true ) ) ),
    inference(paramod_ordered,[status(thm)],[15,18]) ).

thf(31,plain,
    ( ~ ( f @ $false )
    | ~ ( f @ $false ) ),
    inference(simp,[status(thm)],[27]) ).

thf(33,plain,
    ~ ( f @ $false ),
    inference(simp,[status(thm)],[31]) ).

thf(35,plain,
    f @ $false,
    inference(rewrite,[status(thm)],[15,33]) ).

thf(39,plain,
    $false,
    inference(rewrite,[status(thm)],[35,33]) ).

thf(40,plain,
    $false,
    inference(simp,[status(thm)],[39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO043^1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon May 20 08:54:09 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.91/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.17/1.01  % [INFO] 	 Parsing done (127ms). 
% 1.17/1.03  % [INFO] 	 Running in sequential loop mode. 
% 1.65/1.26  % [INFO] 	 eprover registered as external prover. 
% 1.65/1.27  % [INFO] 	 cvc4 registered as external prover. 
% 1.65/1.27  % [INFO] 	 Scanning for conjecture ... 
% 1.65/1.30  % [INFO] 	 1 axioms and no conjecture found. 
% 1.65/1.32  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.65/1.32  % [INFO] 	 Type checking passed. 
% 1.65/1.33  % [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 ... 
% 3.13/1.85  % [INFO] 	 Killing All external provers ... 
% 3.13/1.85  % Time passed: 1337ms (effective reasoning time: 820ms)
% 3.13/1.86  % Axioms used in derivation (1): 5
% 3.13/1.86  % No. of inferences in proof: 17
% 3.13/1.86  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1337 ms resp. 820 ms w/o parsing
% 3.13/1.89  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.13/1.89  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------