%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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 12:27:15 EDT 2023

% Result   : Theorem 2.76s 1.59s
% Output   : Refutation 2.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   6 unt;   1 typ;   0 def)
%            Number of atoms       :    6 (   5 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   54 (   2   ~;   0   |;   0   &;  52   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   1 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

thf(1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( f @ A @ ( f @ B @ ( f @ C @ D ) ) )
      = ( f @ ( f @ ( f @ A @ B ) @ C ) @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel61) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( f @ A @ ( f @ B @ ( f @ C @ D ) ) )
        = ( f @ ( f @ ( f @ A @ B ) @ C ) @ D ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( f @ A @ ( f @ B @ ( f @ C @ D ) ) )
        = ( f @ ( f @ ( f @ A @ B ) @ C ) @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( f @ A @ ( f @ B @ C ) )
      = ( f @ ( f @ A @ B ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p61_1) ).

thf(7,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( f @ A @ ( f @ B @ C ) )
      = ( f @ ( f @ A @ B ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(15,plain,
    $false,
    inference(e,[status(thm)],[4,7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n022.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu May 18 19:54:18 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.84/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.26/0.95  % [INFO] 	 Parsing done (103ms). 
% 1.26/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.49/1.15  % [INFO] 	 eprover registered as external prover. 
% 1.49/1.15  % [INFO] 	 cvc4 registered as external prover. 
% 1.49/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.78/1.20  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.78/1.23  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.86/1.23  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.86/1.23  % [INFO] 	 Type checking passed. 
% 1.86/1.23  % [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 ... 
% 2.76/1.58  % External prover 'e' found a proof!
% 2.76/1.59  % [INFO] 	 Killing All external provers ... 
% 2.76/1.59  % Time passed: 1067ms (effective reasoning time: 626ms)
% 2.76/1.59  % 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)>
% 2.76/1.59  % Axioms used in derivation (1): p61_1
% 2.76/1.59  % No. of inferences in proof: 6
% 2.76/1.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1067 ms resp. 626 ms w/o parsing
% 2.87/1.60  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.87/1.60  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------