%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SEV012^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n032.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 : Mon Jun 24 15:59:17 EDT 2024

% Result   : Theorem 1.68s 1.17s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   2 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   12 (   2   ~;   0   |;   6   &;   0   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   8   ^  10   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(1,conjecture,
    ( ! [A: $o,B: $o] :
        ( $true
       => $true )
    & ! [A: $o,B: $o,C: $o] :
        ( ( $true
          & $true )
       => $true )
    & ( ( ^ [A: $o,B: $o] : $true )
      = ( ^ [A: $o,B: $o] : $true ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM519_pme) ).

thf(2,negated_conjecture,
    ~ ( ! [A: $o,B: $o] :
          ( $true
         => $true )
      & ! [A: $o,B: $o,C: $o] :
          ( ( $true
            & $true )
         => $true )
      & ( ( ^ [A: $o,B: $o] : $true )
        = ( ^ [A: $o,B: $o] : $true ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    $false,
    inference(simp,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SEV012^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.07  % Command  : run_Leo-III %s %d SAT
% 0.06/0.25  % Computer : n032.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Fri Jun 21 19:42:55 EDT 2024
% 0.06/0.25  % CPUTime  : 
% 0.64/0.67  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.92/0.77  % [INFO] 	 Parsing done (94ms). 
% 0.95/0.78  % [INFO] 	 Running in sequential loop mode. 
% 1.27/1.00  % [INFO] 	 nitpick registered as external prover. 
% 1.27/1.00  % [INFO] 	 Scanning for conjecture ... 
% 1.27/1.05  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.46/1.07  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.46/1.07  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.46/1.08  % [INFO] 	 Type checking passed. 
% 1.46/1.08  % [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 ... 
% 1.68/1.17  % [INFO] 	 Killing All external provers ... 
% 1.68/1.17  % Time passed: 788ms (effective reasoning time: 387ms)
% 1.68/1.17  % 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)>
% 1.68/1.17  % Axioms used in derivation (0): 
% 1.68/1.17  % No. of inferences in proof: 4
% 1.68/1.17  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 788 ms resp. 387 ms w/o parsing
% 1.68/1.20  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.68/1.20  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------