TSTP Solution File: SYO883^1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO883^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n003.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 09:01:41 EDT 2024

% Result   : Unsatisfiable 36.81s 9.81s
% Output   : Refutation 36.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   1 unt;   4 typ;   0 def)
%            Number of atoms       :    9 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  132 (   8   ~;   4   |;   0   &; 120   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   42 (  42   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-6 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

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

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

thf(b_type,type,
    b: $i ).

thf(c_type,type,
    c: $i ).

thf(1,axiom,
    ! [A: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
      ( ( ( A @ a @ b @ c @ c @ c @ c @ c @ c @ c )
       != ( f @ b @ a @ c @ c @ c @ c ) )
      | ( ( A @ c @ a @ c @ c @ c @ c @ c @ c @ c )
       != ( f @ a @ c @ c @ c @ c @ c ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

thf(2,plain,
    ! [A: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
      ( ( ( A @ a @ b @ c @ c @ c @ c @ c @ c @ c )
       != ( f @ b @ a @ c @ c @ c @ c ) )
      | ( ( A @ c @ a @ c @ c @ c @ c @ c @ c @ c )
       != ( f @ a @ c @ c @ c @ c @ c ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(3,plain,
    ! [A: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
      ( ( ( A @ a @ b @ c @ c @ c @ c @ c @ c @ c )
       != ( f @ b @ a @ c @ c @ c @ c ) )
      | ( ( A @ c @ a @ c @ c @ c @ c @ c @ c @ c )
       != ( f @ a @ c @ c @ c @ c @ c ) ) ),
    inference(cnf,[status(esa)],[2]) ).

thf(4,plain,
    ! [A: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
      ( ( ( A @ a @ b @ c @ c @ c @ c @ c @ c @ c )
       != ( f @ b @ a @ c @ c @ c @ c ) )
      | ( ( A @ c @ a @ c @ c @ c @ c @ c @ c @ c )
       != ( f @ a @ c @ c @ c @ c @ c ) ) ),
    inference(lifteq,[status(thm)],[3]) ).

thf(5,plain,
    $false,
    inference(pre_uni,[status(thm)],[4:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ^ [D: $i] : ^ [E: $i] : ^ [F: $i] : ^ [G: $i] : ^ [H: $i] : ^ [I: $i] : ^ [J: $i] : ( f @ C @ B @ c @ c @ c @ c ) ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYO883^1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n003.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Mon May 20 09:05:39 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.95/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.18/0.98  % [INFO] 	 Parsing done (105ms). 
% 1.18/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.62/1.19  % [INFO] 	 nitpick registered as external prover. 
% 1.62/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.74/1.23  % [INFO] 	 1 axioms and no conjecture found. 
% 1.82/1.25  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.82/1.26  % [INFO] 	 Type checking passed. 
% 1.82/1.26  % [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 ... 
% 36.67/9.73  % [INFO] 	 Killing All external provers ... 
% 36.67/9.73  % Time passed: 9198ms (effective reasoning time: 8744ms)
% 36.67/9.73  % Axioms used in derivation (1): ax
% 36.67/9.73  % No. of inferences in proof: 5
% 36.81/9.81  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9198 ms resp. 8744 ms w/o parsing
% 36.85/9.84  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 36.85/9.84  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------