TSTP Solution File: SYO215^5 by Leo-III---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO215^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n016.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 : Tue May 21 08:56:08 EDT 2024

% Result   : Theorem 2.31s 1.44s
% Output   : Refutation 2.50s
% 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       :    7 (   6 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   8   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^   3   !;   9   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(1,conjecture,
    ( ? [A: $i,B: $i] : ( A != B )
   => ! [A: $i] :
      ? [B: $i] : ( B != A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM26) ).

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

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

thf(12,plain,
    $false,
    inference(cvc4,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYO215^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon May 20 09:01:09 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.90/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 0.97/0.93  % [INFO] 	 Parsing done (84ms). 
% 1.20/0.94  % [INFO] 	 Running in sequential loop mode. 
% 1.57/1.13  % [INFO] 	 eprover registered as external prover. 
% 1.57/1.14  % [INFO] 	 cvc4 registered as external prover. 
% 1.57/1.14  % [INFO] 	 Scanning for conjecture ... 
% 1.68/1.18  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.68/1.20  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.68/1.20  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.68/1.20  % [INFO] 	 Type checking passed. 
% 1.68/1.20  % [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 ... 
% 1.93/1.29  % [INFO] 	 [Domain constraints] Detected constraint on $i 
% 1.93/1.29  % [INFO] 	 [Domain constraints] dom($i) ⊆ {sk3} 
% 2.12/1.43  % [INFO] 	 GaveUp with current strategy, trying again with another strategy ... 
% 2.31/1.44  % External prover 'cvc4' found a proof!
% 2.31/1.44  % [INFO] 	 Killing All external provers ... 
% 2.31/1.44  % Time passed: 926ms (effective reasoning time: 495ms)
% 2.31/1.44  % Solved by strategy<name(funcspec),share(0.5),primSubst(2),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(true), domConstr(0),specialInstances(-1),restrictUniAttempts(false),termOrdering(none)>
% 2.31/1.44  % Axioms used in derivation (0): 
% 2.31/1.44  % No. of inferences in proof: 4
% 2.31/1.44  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 926 ms resp. 495 ms w/o parsing
% 2.50/1.49  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.50/1.49  % [INFO] 	 Killing All external provers ... 
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