%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SEV079^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% 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 : Mon Jun 24 15:58:09 EDT 2024

% Result   : Theorem 2.13s 1.62s
% Output   : Refutation 2.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (  17 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   6   ~;   0   |;   3   &;   0   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk1_type,type,
    sk1: $i ).

thf(sk2_type,type,
    sk2: $i ).

thf(sk3_type,type,
    sk3: $i ).

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

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

thf(3,plain,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( A = B )
          & ( B = C ) )
       => ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    sk1 != sk3,
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    sk3 != sk1,
    inference(lifteq,[status(thm)],[4]) ).

thf(5,plain,
    sk2 = sk3,
    inference(cnf,[status(esa)],[3]) ).

thf(8,plain,
    sk3 = sk2,
    inference(lifteq,[status(thm)],[5]) ).

thf(10,plain,
    sk2 != sk1,
    inference(rewrite,[status(thm)],[7,8]) ).

thf(6,plain,
    sk1 = sk2,
    inference(cnf,[status(esa)],[3]) ).

thf(9,plain,
    sk2 = sk1,
    inference(lifteq,[status(thm)],[6]) ).

thf(12,plain,
    sk1 != sk1,
    inference(rewrite,[status(thm)],[10,9]) ).

thf(13,plain,
    $false,
    inference(simp,[status(thm)],[12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SEV079^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.11  % Command  : run_Leo-III %s %d THM
% 0.10/0.32  % Computer : n022.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Fri Jun 21 18:16:40 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.86/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.03/0.97  % [INFO] 	 Parsing done (119ms). 
% 1.03/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.55/1.28  % [INFO] 	 eprover registered as external prover. 
% 1.55/1.29  % [INFO] 	 Scanning for conjecture ... 
% 1.68/1.35  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.72/1.37  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.72/1.37  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.72/1.37  % [INFO] 	 Type checking passed. 
% 1.72/1.37  % [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 ... 
% 2.13/1.61  % [INFO] 	 Killing All external provers ... 
% 2.13/1.61  % Time passed: 1134ms (effective reasoning time: 626ms)
% 2.13/1.61  % 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)>
% 2.13/1.62  % Axioms used in derivation (0): 
% 2.13/1.62  % No. of inferences in proof: 12
% 2.13/1.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1134 ms resp. 626 ms w/o parsing
% 2.13/1.65  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.13/1.65  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------