%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN132-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n028.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 : Fri May 19 12:27:27 EDT 2023

% Result   : Unsatisfiable 10.06s 3.20s
% Output   : Refutation 10.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :    9 (   1 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   25 (   4   ~;   0   |;   0   &;  21   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-3 aty)
%            Number of variables   :    7 (   0   ^;   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(m0_type,type,
    m0: $i > $i > $i > $o ).

thf(e_type,type,
    e: $i ).

thf(a_type,type,
    a: $i ).

thf(344,axiom,
    ! [A: $i] : ( m0 @ a @ A @ a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

thf(1019,plain,
    ! [A: $i] : ( m0 @ a @ A @ a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ~ ( m0 @ A @ e @ a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

thf(370,plain,
    ! [A: $i] :
      ~ ( m0 @ A @ e @ a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(371,plain,
    ! [A: $i] :
      ~ ( m0 @ A @ e @ a ),
    inference(polarity_switch,[status(thm)],[370]) ).

thf(1221,plain,
    ! [B: $i,A: $i] :
      ( ( m0 @ a @ A @ a )
     != ( m0 @ B @ e @ a ) ),
    inference(paramod_ordered,[status(thm)],[1019,371]) ).

thf(1222,plain,
    $false,
    inference(pattern_uni,[status(thm)],[1221:[bind(A,$thf( e )),bind(B,$thf( a ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN132-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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 : Thu May 18 20:01:49 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.86/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.47/1.07  % [INFO] 	 Parsing done (204ms). 
% 1.47/1.08  % [INFO] 	 Running in sequential loop mode. 
% 2.04/1.28  % [INFO] 	 eprover registered as external prover. 
% 2.04/1.28  % [INFO] 	 cvc4 registered as external prover. 
% 2.04/1.29  % [INFO] 	 Scanning for conjecture ... 
% 2.31/1.37  % [INFO] 	 Found a conjecture and 368 axioms. Running axiom selection ... 
% 2.76/1.46  % [INFO] 	 Axiom selection finished. Selected 368 axioms (removed 0 axioms). 
% 3.16/1.57  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.16/1.58  % [INFO] 	 Type checking passed. 
% 3.36/1.58  % [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 ... 
% 10.06/3.19  % [INFO] 	 Killing All external provers ... 
% 10.06/3.20  % Time passed: 2683ms (effective reasoning time: 2111ms)
% 10.06/3.20  % 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)>
% 10.06/3.20  % Axioms used in derivation (1): axiom_12
% 10.06/3.20  % No. of inferences in proof: 7
% 10.06/3.20  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2683 ms resp. 2111 ms w/o parsing
% 10.06/3.21  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.06/3.21  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------