%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SEV433^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n017.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 15:59:01 EDT 2024

% Result   : Theorem 2.38s 1.49s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (  13 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :   14 (   2   ~;   6   |;   0   &;   4   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   1 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^  13   !;   0   ?;  13   :)

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

thf(1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( A = B )
      | ( A = C )
      | ( B = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).

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

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

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

thf(12,plain,
    ! [A: $i,B: $i] :
      ( ( ( f @ A )
        = ( f @ B ) )
     => ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(16,plain,
    $false,
    inference(e,[status(thm)],[4,12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEV433^1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.13  % Command  : run_Leo-III %s %d THM
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Jun 21 19:24:25 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.95/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.12/0.97  % [INFO] 	 Parsing done (95ms). 
% 1.12/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.65/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.65/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.73/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ... 
% 1.81/1.25  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.81/1.25  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.81/1.25  % [INFO] 	 Type checking passed. 
% 1.81/1.25  % [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 ... 
% 2.38/1.49  % External prover 'e' found a proof!
% 2.38/1.49  % [INFO] 	 Killing All external provers ... 
% 2.38/1.49  % Time passed: 943ms (effective reasoning time: 504ms)
% 2.38/1.49  % 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)>
% 2.38/1.49  % Axioms used in derivation (1): finj
% 2.38/1.49  % No. of inferences in proof: 6
% 2.38/1.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 943 ms resp. 504 ms w/o parsing
% 2.65/1.55  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.65/1.55  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------