%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SEV168^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n024.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 15:58:24 EDT 2024

% Result   : Theorem 2.60s 1.71s
% Output   : Refutation 2.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   32 (   2   ~;   0   |;   3   &;  24   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (  30   ^   0   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(q_type,type,
    q: ( a > a > a ) > a ).

thf(p_type,type,
    p: ( a > a > a ) > a ).

thf(1,conjecture,
    ( ( ( q
        = ( ^ [A: a > a > a] :
              ( A
              @ ( q
                @ ^ [B: a,C: a] : B )
              @ ( q
                @ ^ [B: a,C: a] : C ) ) ) )
      & ( p
        = ( ^ [A: a > a > a] :
              ( A
              @ ( q
                @ ^ [B: a,C: a] : B )
              @ ( q
                @ ^ [B: a,C: a] : C ) ) ) ) )
   => ( p = q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM188_PARTIAL_pme) ).

thf(2,negated_conjecture,
    ~ ( ( ( q
          = ( ^ [A: a > a > a] :
                ( A
                @ ( q
                  @ ^ [B: a,C: a] : B )
                @ ( q
                  @ ^ [B: a,C: a] : C ) ) ) )
        & ( p
          = ( ^ [A: a > a > a] :
                ( A
                @ ( q
                  @ ^ [B: a,C: a] : B )
                @ ( q
                  @ ^ [B: a,C: a] : C ) ) ) ) )
     => ( p = q ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ( q
          = ( ^ [A: a > a > a] :
                ( A
                @ ( q
                  @ ^ [B: a,C: a] : B )
                @ ( q
                  @ ^ [B: a,C: a] : C ) ) ) )
        & ( p
          = ( ^ [A: a > a > a] :
                ( A
                @ ( q
                  @ ^ [B: a,C: a] : B )
                @ ( q
                  @ ^ [B: a,C: a] : C ) ) ) ) )
     => ( p = q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(16,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEV168^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.10  % Command  : run_Leo-III %s %d THM
% 0.08/0.29  % Computer : n024.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Fri Jun 21 19:15:55 EDT 2024
% 0.08/0.29  % CPUTime  : 
% 0.78/0.77  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.00/0.90  % [INFO] 	 Parsing done (128ms). 
% 1.00/0.91  % [INFO] 	 Running in sequential loop mode. 
% 1.39/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.39/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.51/1.24  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.65/1.27  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.65/1.28  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.65/1.28  % [INFO] 	 Type checking passed. 
% 1.65/1.29  % [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 ... 
% 2.60/1.71  % External prover 'e' found a proof!
% 2.60/1.71  % [INFO] 	 Killing All external provers ... 
% 2.60/1.71  % Time passed: 1288ms (effective reasoning time: 789ms)
% 2.60/1.71  % 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)>
% 2.60/1.71  % Axioms used in derivation (0): 
% 2.60/1.71  % No. of inferences in proof: 4
% 2.60/1.71  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1288 ms resp. 789 ms w/o parsing
% 2.67/1.78  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.67/1.78  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------