TSTP Solution File: LCL090-1 by Moca---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% 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  : 600s
% DateTime : Sun Jul 17 12:57:56 EDT 2022

% Result   : Unsatisfiable 104.86s 104.44s
% Output   : Proof 104.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : moca.sh %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  2 22:47:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 104.86/104.44  % SZS status Unsatisfiable
% 104.86/104.44  % SZS output start Proof
% 104.86/104.44  The input problem is unsatisfiable because
% 104.86/104.44  
% 104.86/104.44  [1] the following set of Horn clauses is unsatisfiable:
% 104.86/104.44  
% 104.86/104.44  	is_a_theorem(implies(X, Y)) & is_a_theorem(X) ==> is_a_theorem(Y)
% 104.86/104.44  	is_a_theorem(implies(implies(implies(P, Q), implies(R, S)), implies(implies(S, P), implies(T, implies(R, P)))))
% 104.86/104.44  	is_a_theorem(implies(a, a)) ==> \bottom
% 104.86/104.44  
% 104.86/104.44  This holds because
% 104.86/104.44  
% 104.86/104.44  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 104.86/104.44  
% 104.86/104.44  E:
% 104.86/104.44  	f1(true__, Y) = is_a_theorem(Y)
% 104.86/104.44  	f2(is_a_theorem(X), X, Y) = true__
% 104.86/104.44  	f2(true__, X, Y) = f1(is_a_theorem(implies(X, Y)), Y)
% 104.86/104.44  	f3(is_a_theorem(implies(a, a))) = true__
% 104.86/104.44  	f3(true__) = false__
% 104.86/104.44  	is_a_theorem(implies(implies(implies(P, Q), implies(R, S)), implies(implies(S, P), implies(T, implies(R, P))))) = true__
% 104.86/104.44  G:
% 104.86/104.44  	true__ = false__
% 104.86/104.44  
% 104.86/104.44  This holds because
% 104.86/104.44  
% 104.86/104.44  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 104.86/104.44  
% 104.86/104.44  
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, X0), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, X1)), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, X0))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, X2))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, X0)))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, X1)))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, X3)))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X0))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X1))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X2))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X4))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, X0)))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, X1)))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, X2)))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, X0))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, X1))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, X2))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, X3))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, X0)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, X1)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, X2)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, X3)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, X4)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(X8, X1))))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(X8, X3))))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(X8, X4))))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(X8, X5))))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(X6, X1), X3))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(X6, X5), X2))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(X6, X5), X3))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(X6, implies(X7, X8)), X3))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X1, X5), implies(X6, implies(X7, X5)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X4, X5), implies(X6, implies(X7, X5)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X5, X0), X2)))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X5, X4), X1)))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X5, X4), X2)))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X5, implies(X6, X7)), X2)))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X0, X4), implies(X5, implies(X6, X4))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X3, X4), implies(X5, implies(X6, X4))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), X0))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), X1))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(X5, implies(X6, X1))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(X5, implies(X6, implies(implies(X7, X6), X1)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(X1, X5), implies(X6, implies(X7, X5)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(X5, X6), implies(X6, X1))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, X5), implies(X5, implies(X6, implies(X7, X5)))))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, implies(X5, X6)), X1))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, implies(X5, implies(implies(X6, X5), X7))), X1))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, implies(implies(X5, X6), implies(X6, X4))), X1))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(implies(X4, X5), implies(X6, implies(X7, X5))), X1))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X2, X3), implies(X4, implies(X5, X3)))))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), X0)))), Y1)), Y1) -> true__
% 104.86/104.44  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, X0)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(X3, X2))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, X0)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(X3, X2))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X4), implies(X4, X2))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X4), implies(X4, implies(X5, implies(X6, X4))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X4), implies(X4, implies(implies(X5, X6), implies(X6, X4))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X4), implies(implies(implies(X5, X6), implies(X6, X4)), X1))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), X0)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, implies(X4, implies(implies(X5, X4), X6))), X0)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(implies(X3, X4), implies(X5, implies(X6, X4))), X0)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(implies(X3, implies(X4, X2)), X5), implies(X6, implies(X7, X5)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(X2, implies(implies(implies(X3, implies(X4, X5)), X6), implies(X7, implies(X5, X6)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X1, X2), implies(X3, implies(X4, X2))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X1), implies(X3, implies(X4, implies(X2, X1)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X1), implies(X3, implies(X4, implies(X5, implies(X6, implies(implies(X7, X6), X4)))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X1), implies(X3, implies(X4, implies(X5, implies(implies(X6, X5), X3))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X1), implies(X3, implies(X4, implies(implies(X4, X5), implies(X6, implies(X7, X5)))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X1), implies(implies(X3, X4), implies(X4, implies(X2, X1)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X1), implies(implies(X3, X4), implies(X4, implies(implies(X5, X6), implies(X6, X4))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X3), implies(X3, X1)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X3), implies(X3, implies(X4, implies(X5, X3)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X3), implies(X3, implies(implies(X4, X5), implies(X5, X1)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X3), implies(X3, implies(implies(X4, X5), implies(X5, X3)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, X3), implies(implies(implies(X4, X5), implies(X5, X3)), X0)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, implies(X3, X4)), implies(X5, implies(X6, implies(X2, implies(X3, X4))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(X2, implies(X3, X4)), implies(implies(X5, X6), implies(X6, implies(X2, implies(X3, X4))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(implies(X2, implies(X3, X1)), X4), implies(X5, implies(X6, X4))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(implies(X2, implies(X3, X4)), X5), implies(X6, implies(X4, X5))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(implies(X2, implies(X3, implies(X4, X1))), X5), implies(X6, implies(X7, X5))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(implies(X2, implies(X3, implies(X4, X5))), X4), implies(X6, implies(X7, X4))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(implies(X2, implies(X3, implies(implies(X4, X3), X1))), X5), implies(X6, implies(X7, X5))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(implies(implies(X1, X2), implies(X3, implies(X4, X2))), X5), implies(X6, implies(X7, X5))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(implies(implies(X2, X3), X4), X3), implies(X5, implies(X2, X3))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(X1, implies(implies(implies(implies(X2, X3), implies(X3, X1)), X4), implies(X5, implies(X6, X4))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X0, X1), implies(X2, implies(X3, X1)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X0), implies(X2, implies(X3, implies(X1, X0))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X0), implies(implies(X2, X3), implies(X3, implies(X1, X0))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X2), implies(X2, implies(X3, implies(X4, X2))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X2), implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, X2))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X2), implies(X2, implies(X3, implies(implies(X4, X3), implies(X5, implies(X6, X2))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, X0))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, X2))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X2), implies(X3, implies(X4, implies(X5, implies(X2, implies(X6, implies(X7, X2)))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X2), implies(X3, implies(X4, implies(X5, implies(X6, implies(X2, X4))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, X2), implies(implies(X3, X4), implies(X4, implies(implies(X5, X6), implies(X6, X4)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, implies(X2, X3)), implies(X4, implies(X5, implies(X1, implies(X2, X3)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(X1, implies(X2, X3)), implies(implies(X2, X3), implies(X3, implies(implies(X4, X5), implies(X5, X3)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(implies(X1, implies(X2, X0)), X3), implies(X4, implies(X5, X3)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(implies(X1, implies(X2, X3)), X4), implies(X5, implies(X3, X4)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(implies(X1, implies(X2, implies(X3, X0))), X4), implies(X5, implies(X6, X4)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(implies(implies(X0, X1), implies(X2, implies(X3, X1))), X4), implies(X5, implies(X6, X4)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(implies(implies(X1, X2), X3), X2), implies(X4, implies(X1, X2)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(X0, implies(implies(implies(implies(X1, X2), implies(X2, X0)), X3), implies(X4, implies(X5, X3)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(X3, X1)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, X1)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(X6, X5), X2))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(X6, X5), X3))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X5, X4), X2)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X5, implies(X6, X7)), X2)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, X1)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(implies(X2, X3), implies(X3, X1)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X1, implies(implies(X2, X3), implies(X3, implies(X4, implies(X5, X3)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X2, implies(X3, implies(X4, implies(X1, implies(X5, implies(X6, X1))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, X1), implies(X2, implies(X3, implies(X4, implies(X5, implies(X1, X3)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, implies(X1, X2)), implies(X3, implies(X4, implies(X0, implies(X1, X2))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, implies(X1, X2)), implies(implies(X3, X4), implies(X4, implies(X0, implies(X1, X2))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, X4)))), implies(implies(X5, X6), implies(X6, implies(X0, implies(X1, implies(X2, implies(X3, X4))))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(X0, implies(implies(X1, X2), implies(X2, X3))), implies(implies(X4, X5), implies(X5, implies(X0, implies(implies(X1, X2), implies(X2, X3)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, X1), implies(X2, X3)), implies(implies(X3, X0), implies(X4, implies(X2, X0)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, X1), implies(X2, implies(X3, X0))), implies(X4, implies(X5, implies(X2, implies(X3, X0))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, X1), implies(X2, implies(X3, X1))), implies(implies(X4, X5), implies(X5, implies(implies(X0, X1), implies(X2, implies(X3, X1)))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, X2)), X3), implies(X4, implies(X2, X3))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, X2)), X3), implies(X4, implies(implies(implies(X3, X5), X2), X3))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, X2)), implies(X2, X3)), implies(X4, implies(implies(X5, X2), implies(X2, X3)))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, X0))), X3), implies(X4, implies(implies(X5, X0), X3))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, X3))), X1), implies(X4, implies(X5, X1))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, X3))), X2), implies(X4, implies(X5, X2))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, X3))), X4), implies(X5, implies(X3, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, X0)))), X4), implies(X5, implies(X6, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, X4)))), X3), implies(X5, implies(X6, X3))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, X4)))), X5), implies(X6, implies(X4, X5))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X0))))), X5), implies(X6, implies(X7, X5))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X1))))), X5), implies(X6, implies(X7, X5))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X5))))), X4), implies(X6, implies(X7, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), X1))))), X5), implies(X6, implies(X7, X5))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), X0)))), X4), implies(X5, implies(X6, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), X4)))), X5), implies(X6, implies(X4, X5))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(implies(X1, X2), implies(X3, implies(X4, X2))))), X5), implies(X6, implies(X7, X5))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(implies(X2, X1), X3))), X4), implies(X5, implies(X3, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(implies(X2, X1), implies(X3, X4)))), X3), implies(X5, implies(X6, X3))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(X1, implies(implies(X2, implies(X3, X4)), X5))), X6), implies(X7, implies(X5, X6))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(implies(X0, X1), implies(X2, implies(X3, X1)))), X4), implies(X5, implies(X6, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(implies(X1, X0), implies(X2, X3))), X2), implies(X4, implies(X5, X2))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(implies(X1, X2), implies(X2, X0))), X3), implies(X4, implies(implies(X5, X0), X3))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(X0, implies(implies(X1, implies(X2, X3)), implies(X4, X5))), X4), implies(X6, implies(X7, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(implies(X0, X1), X2), X1), implies(X3, implies(X0, X1))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(implies(X0, X1), implies(X1, X2)), X3), implies(X4, implies(X2, X3))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(implies(X0, X1), implies(X1, X2)), implies(X3, implies(X4, X1))), implies(X5, implies(X6, implies(X3, implies(X4, X1))))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(X3, X1)))), X4), implies(X5, implies(X6, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(implies(X0, X1), implies(X1, implies(implies(X2, X3), implies(X3, X1)))), X4), implies(X5, implies(X6, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(f1(true__, implies(implies(implies(implies(implies(X0, X1), implies(X2, implies(X3, X1))), X4), implies(X5, implies(X0, X4))), Y1)), Y1) -> true__
% 104.86/104.45  	f1(true__, implies(X1, X1)) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, X2))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, X3)))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, X1))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, X2))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, X1)))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, X1))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, X1)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(X8, X1))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0)))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y1)))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y2)))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(X7, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y1))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y2))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(Y0, implies(implies(implies(Y1, implies(Y2, Y0)), Y3), implies(Y4, implies(Y5, Y3))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(implies(Y0, implies(Y1, Y2)), implies(Y3, implies(Y4, implies(Y0, implies(Y1, Y2)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y2)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y6, Y0))))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(Y0, implies(implies(implies(Y1, implies(Y2, Y0)), Y3), implies(Y4, implies(Y5, Y3)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(X6, X1), X3))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y0, implies(Y1, Y2)), implies(Y3, implies(Y4, implies(Y0, implies(Y1, Y2))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y2), implies(Y4, implies(Y5, Y2))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y4), implies(Y5, implies(Y3, Y4))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y6, Y0)))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(Y0, implies(implies(implies(Y1, implies(Y2, Y0)), Y3), implies(Y4, implies(Y5, Y3))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X1, X5), implies(X6, implies(X7, X5)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(X5, X4), X1)))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(Y0, implies(Y1, Y2)), implies(Y3, implies(Y4, implies(Y0, implies(Y1, Y2)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(implies(Y0, Y1), implies(Y2, Y3)), implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(implies(implies(Y3, Y5), Y2), Y3)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y1), implies(Y4, implies(Y5, Y1)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y2), implies(Y4, implies(Y5, Y2)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(X4, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y4), implies(Y5, implies(Y3, Y4)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, Y0))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, Y2))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y3)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y1)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y6, Y0))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(implies(implies(Y1, implies(Y2, Y0)), Y3), implies(Y4, implies(Y5, Y3)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(Y0, implies(implies(implies(implies(Y1, Y2), Y3), Y2), implies(Y4, implies(Y1, Y2)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), X1))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(X5, implies(X6, X1))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y0), Y2))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, implies(Y5, Y6)), Y1)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(implies(Y2, Y1), implies(implies(Y3, Y4), implies(Y4, implies(Y2, Y1))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(Y1, implies(implies(Y2, Y3), implies(Y3, implies(implies(Y4, Y5), implies(Y5, Y3))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(implies(Y1, Y0), implies(implies(Y2, Y3), implies(Y3, implies(Y1, Y0)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y0)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(X5, X6), implies(X6, X1))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(Y0, Y1), implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(Y0, Y1), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3))))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(Y0, implies(Y1, Y2)), implies(implies(Y3, Y4), implies(Y4, implies(Y0, implies(Y1, Y2)))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(implies(Y0, Y1), implies(Y2, Y3)), implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0))))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(implies(implies(Y3, Y5), Y2), Y3)))))))) -> true__
% 104.86/104.45  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, X3), implies(implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), Y4), implies(Y5, implies(Y0, Y4)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, implies(X5, X6)), X1))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, implies(X5, implies(implies(X6, X5), X7))), X1))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(X4, implies(implies(X5, X6), implies(X6, X4))), X1))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(Y0, implies(Y1, Y2)), implies(Y3, implies(Y4, implies(Y0, implies(Y1, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(X4, X5), implies(X6, implies(X7, X5))), X1))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, Y1), implies(Y2, Y3)), implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(implies(implies(Y3, Y5), Y2), Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y1), implies(Y4, implies(Y5, Y1))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y2), implies(Y4, implies(Y5, Y2))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y4), implies(Y5, implies(Y3, Y4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0)))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0))))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1))))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0)))))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y1)))))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y2)))))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0)))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1)))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2))))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(implies(Y0, Y1), Y2), Y1), implies(Y3, implies(Y0, Y1))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), Y4), implies(Y5, implies(Y0, Y4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(X3, implies(implies(implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))), X4), implies(X5, implies(X6, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, Y2)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, Y0))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, Y2))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y0), Y2)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y3, Y4), implies(Y5, implies(Y6, Y4))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, implies(Y5, Y6)), Y1))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(implies(Y2, Y1), implies(implies(Y3, Y4), implies(Y4, implies(Y2, Y1)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(Y1, implies(implies(Y2, Y3), implies(Y3, implies(implies(Y4, Y5), implies(Y5, Y3)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(implies(Y1, Y0), implies(implies(Y2, Y3), implies(Y3, implies(Y1, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(Y0, implies(implies(implies(implies(Y1, Y2), Y3), Y2), implies(Y4, implies(Y1, Y2)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2)))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3)))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(Y0, implies(implies(Y1, Y0), implies(implies(Y2, Y3), implies(Y3, implies(Y1, Y0))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(implies(Y0, Y1), implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(implies(Y0, Y1), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3)))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(X4, X5), implies(X5, implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(Y0, Y1), implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(Y0, Y1), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(Y0, implies(Y1, Y2)), implies(Y3, implies(Y4, implies(Y0, implies(Y1, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(Y0, implies(Y1, Y2)), implies(implies(Y3, Y4), implies(Y4, implies(Y0, implies(Y1, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(implies(Y0, Y1), implies(Y2, Y3)), implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(implies(implies(Y3, Y5), Y2), Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y1), implies(Y4, implies(Y5, Y1))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y4), implies(Y5, implies(Y3, Y4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(implies(Y0, implies(implies(Y1, Y0), implies(Y2, Y3))), Y2), implies(Y4, implies(Y5, Y2))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X2), implies(implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), Y4), implies(Y5, implies(Y0, Y4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X4), implies(X4, X2))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, X4), implies(implies(implies(X5, X6), implies(X6, X4)), X1))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y0), Y2)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y3, Y4), implies(Y5, implies(Y6, Y4))))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, implies(Y5, Y6)), Y1))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(implies(Y2, Y1), implies(implies(Y3, Y4), implies(Y4, implies(Y2, Y1)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(Y1, implies(implies(Y2, Y3), implies(Y3, implies(implies(Y4, Y5), implies(Y5, Y3)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(implies(Y1, Y0), implies(implies(Y2, Y3), implies(Y3, implies(Y1, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(Y0, Y1), implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(Y0, Y1), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(Y0, implies(Y1, Y2)), implies(implies(Y3, Y4), implies(Y4, implies(Y0, implies(Y1, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(implies(Y0, Y1), implies(Y2, Y3)), implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(implies(implies(Y3, Y5), Y2), Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y1), implies(Y4, implies(Y5, Y1))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(X2, implies(implies(X3, implies(X4, X5)), implies(implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), Y4), implies(Y5, implies(Y0, Y4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X1, X2), implies(X3, implies(X4, X2))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X1), implies(X3, implies(X4, implies(X2, X1)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X1), implies(implies(X3, X4), implies(X4, implies(X2, X1)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X3), implies(X3, implies(implies(X4, X5), implies(X5, X1)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X3), implies(implies(implies(X4, X5), implies(X5, X3)), implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X3), implies(implies(implies(X4, X5), implies(X5, X3)), implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X3), implies(implies(implies(X4, X5), implies(X5, X3)), implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X3), implies(implies(implies(X4, X5), implies(X5, X3)), implies(Y0, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X3), implies(implies(implies(X4, X5), implies(X5, X3)), implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X3), implies(implies(implies(X4, X5), implies(X5, X3)), implies(implies(Y0, Y1), implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, X3), implies(implies(implies(X4, X5), implies(X5, X3)), implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(X2, implies(X3, X4)), implies(X5, implies(X6, implies(X2, implies(X3, X4))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(implies(X2, implies(X3, X1)), X4), implies(X5, implies(X6, X4))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(implies(X2, implies(X3, X4)), X5), implies(X6, implies(X4, X5))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(implies(X2, implies(X3, implies(X4, X1))), X5), implies(X6, implies(X7, X5))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(implies(implies(X1, X2), implies(X3, implies(X4, X2))), X5), implies(X6, implies(X7, X5))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(implies(implies(X2, X3), X4), X3), implies(X5, implies(X2, X3))))) -> true__
% 104.86/104.46  	f1(true__, implies(X1, implies(implies(implies(implies(X2, X3), implies(X3, X1)), X4), implies(X5, implies(X6, X4))))) -> true__
% 104.86/104.46  	f1(true__, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1)))), X3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3))))), X3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))), X3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2)))), X3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))), X3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y4, implies(Y2, Y3)), X3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), X3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2)))), X3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X0, implies(Y1, implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X0, implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X4, implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X4, implies(Y0, implies(implies(implies(Y1, implies(Y2, Y0)), Y3), implies(Y4, implies(Y5, Y3))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X4, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X4, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(X4, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y2), implies(Y4, implies(Y5, Y2)))))) -> true__
% 104.86/104.46  	f1(true__, implies(X3, implies(Y0, implies(Y4, implies(Y5, Y5))))) -> true__
% 104.86/104.46  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(X0, implies(X1, X2)))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(X0, implies(X1, X2)))))))))) -> true__
% 104.86/104.46  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, implies(implies(X0, X1), implies(X1, X2))), Y2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(implies(X0, X1), implies(X1, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, implies(X1, X2))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(implies(X0, X1), implies(X1, X2))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, implies(Y5, Y6)), Y1))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(implies(X0, X1), implies(X1, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, implies(X1, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(implies(X0, X1), implies(X1, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(implies(Y2, Y1), implies(implies(Y3, Y4), implies(Y4, implies(Y2, Y1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y1, implies(implies(Y2, Y3), implies(Y3, implies(implies(Y4, Y5), implies(Y5, Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(implies(X1, X2), Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y4, implies(Y2, implies(X1, X2)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y4, implies(Y2, implies(implies(Y1, Y2), X2)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y4, implies(implies(Y5, Y0), implies(implies(implies(Y1, Y2), implies(Y2, Y0)), X2)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(Y4, implies(implies(implies(implies(implies(Y1, Y2), X2), Y5), Y2), implies(implies(Y1, Y2), X2)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(implies(X1, X2), implies(Y2, implies(Y3, implies(X1, X2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(implies(X1, X2), implies(implies(Y2, Y3), implies(Y3, implies(X1, X2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, implies(implies(X0, X1), implies(X1, X2))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(implies(implies(X0, implies(X1, X2)), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X2, implies(implies(implies(implies(X0, X1), implies(X1, X2)), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(X5, implies(implies(implies(implies(Y3, Y1), X1), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(Y2, implies(implies(Y3, Y4), implies(Y4, implies(implies(X0, Y1), implies(Y1, Y2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(Y3, implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(Y1, implies(Y2, implies(Y3, implies(X0, implies(X1, implies(X2, X0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(Y1, implies(Y2, implies(Y3, implies(X0, implies(implies(X1, X2), implies(X2, X0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(X0, implies(X1, implies(X2, X0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(X0, implies(X1, implies(X2, X0))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, implies(implies(X1, X2), implies(X2, X0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(implies(X1, X2), implies(X2, X0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, implies(implies(X1, X2), implies(X2, X0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(implies(implies(X0, implies(X1, implies(X2, X0))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, X0), implies(implies(implies(X0, implies(implies(X1, X2), implies(X2, X0))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, Y0), implies(implies(implies(X1, X2), implies(X2, Y0)), implies(implies(Y2, Y3), implies(Y3, implies(implies(X1, X2), implies(X2, Y0)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, Y1), implies(Y1, implies(Y2, implies(Y3, implies(X0, implies(X1, Y1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, Y1), implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(X0, implies(X1, Y1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, Y1), implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, implies(X1, Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, Y1), implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, Y1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, Y1), implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, implies(X1, Y1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, Y4), implies(Y4, implies(Y2, implies(X1, Y4)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, Y4), implies(Y4, implies(implies(Y5, Y2), implies(Y2, Y4)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(X5, implies(Y1, Y2)), implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(Y1, implies(Y2, implies(Y3, implies(X0, implies(X1, X2))))), X5), X2), implies(Y1, implies(Y2, implies(Y3, implies(X0, implies(X1, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(X0, implies(X1, X2)))))), X5), X2), implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(X0, implies(X1, X2))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(X0, implies(X1, X2))))))), X5), X2), implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(X0, implies(X1, X2)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, implies(X1, X2)))))), X5), X2), implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, implies(X1, X2))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, X2))))), X5), X2), implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, implies(X1, X2))))), X5), X2), implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, implies(X1, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(implies(X1, X2), Y3))))), X5), X2), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(implies(X1, X2), Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(Y4, implies(Y2, implies(X1, X2))), X5), X2), implies(Y4, implies(Y2, implies(X1, X2)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(implies(X1, X2), implies(Y2, implies(Y3, implies(X1, X2)))), X5), X2), implies(implies(X1, X2), implies(Y2, implies(Y3, implies(X1, X2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(implies(X1, X2), implies(implies(Y2, Y3), implies(Y3, implies(X1, X2)))), X5), X2), implies(implies(X1, X2), implies(implies(Y2, Y3), implies(Y3, implies(X1, X2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X4, implies(implies(implies(implies(implies(implies(X0, implies(X1, X2)), Y1), implies(Y2, implies(Y3, Y1))), X5), X2), implies(implies(implies(X0, implies(X1, X2)), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(implies(X0, X1), implies(X2, implies(X3, X1))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(X0, X1), implies(X2, implies(X3, X1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(Y1, implies(Y2, implies(Y3, implies(implies(X0, X1), implies(X2, implies(X3, X1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(implies(X0, X1), implies(X2, implies(X3, X1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(implies(X0, X1), implies(X2, implies(X3, X1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(implies(X0, X1), implies(X2, implies(X3, X1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(implies(X2, implies(X3, X1)), Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(implies(X2, implies(X3, X1)), implies(Y2, implies(Y3, implies(X2, implies(X3, X1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(implies(X2, implies(X3, X1)), implies(implies(Y2, Y3), implies(Y3, implies(X2, implies(X3, X1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X0, implies(implies(implies(implies(X0, X1), implies(X2, implies(X3, X1))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y1, implies(Y2, implies(Y3, implies(X0, implies(X1, implies(X2, X3))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y1, implies(Y2, implies(Y3, implies(X0, implies(X1, implies(implies(X2, X1), X3))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(X0, implies(X1, implies(X2, X3))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, implies(X1, implies(implies(X2, X1), X3)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, implies(X2, X3))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, implies(implies(X2, X1), X3))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, implies(X1, implies(implies(X2, X1), X3))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y4, implies(Y2, implies(X1, implies(X2, X3))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(Y4, implies(Y2, implies(X1, implies(implies(X2, X1), X3))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(implies(implies(X0, implies(X1, implies(X2, X3))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(implies(implies(X0, implies(X1, implies(implies(X2, X1), X3))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X3, implies(implies(implies(Y1, implies(Y2, implies(X0, implies(X1, implies(X2, X3))))), Y3), implies(Y4, implies(Y5, Y3)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, implies(X1, implies(X2, implies(X3, X0))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, implies(implies(X0, X1), implies(X2, implies(X3, X1))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, implies(X2, implies(X3, X0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), X0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(implies(X0, X1), implies(X2, implies(X3, X1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(implies(X0, X1), implies(X1, implies(implies(X2, X3), implies(X3, X1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, implies(X1, implies(X2, implies(X3, X0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, implies(implies(X0, X1), implies(X2, implies(X3, X1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(Y4, implies(Y2, implies(X1, implies(X2, implies(X3, implies(implies(Y0, Y1), implies(Y1, Y2)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, X0)))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), X0)))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(implies(implies(X0, implies(implies(X0, X1), implies(X2, implies(X3, X1)))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(implies(implies(implies(X0, X1), implies(X1, implies(X2, implies(X3, X1)))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(X6, implies(implies(implies(implies(X0, X1), implies(X1, implies(implies(X2, X3), implies(X3, X1)))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X5, implies(implies(Y0, Y1), implies(Y4, implies(Y2, implies(X2, implies(X3, implies(Y1, Y2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X6, implies(X4, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(X0, implies(X1, implies(X2, implies(X3, X4)))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X6, implies(X4, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), X4)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X6, implies(X4, implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, X4)))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X6, implies(X4, implies(implies(implies(X0, implies(X1, implies(X2, implies(implies(X3, X2), X4)))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X6, implies(X7, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, implies(implies(X1, X2), implies(X3, implies(X4, X2))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X6, implies(X7, implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X0))))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X6, implies(X7, implies(implies(implies(X0, implies(X1, implies(X2, implies(X3, implies(X4, X1))))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X6, implies(X7, implies(implies(implies(X0, implies(X1, implies(implies(X1, X2), implies(X3, implies(X4, X2))))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(X7, implies(X5, implies(Y1, implies(Y2, implies(implies(Y3, Y2), implies(X0, implies(X1, implies(implies(X2, implies(X3, X4)), X5))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(X7, implies(X5, implies(implies(implies(X0, implies(X1, implies(implies(X2, implies(X3, X4)), X5))), Y1), implies(Y2, implies(Y3, Y1)))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(X3, implies(X4, X2))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(X3, implies(X4, implies(X5, implies(X6, X2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(X3, implies(implies(X4, X3), implies(X5, implies(X6, X2))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, X2))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y0), Y2))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, implies(Y5, Y6)), Y1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(implies(Y1, Y0), implies(implies(Y2, Y3), implies(Y3, implies(Y1, Y0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(implies(Y0, Y1), implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(implies(Y0, Y1), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3))))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(implies(implies(Y0, Y1), implies(Y2, Y3)), implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X2, implies(implies(X3, X4), implies(X4, implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X3, implies(X4, implies(X5, implies(X2, implies(X6, implies(X7, X2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, X2), implies(X3, implies(X4, implies(X5, implies(X6, implies(X2, X4))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1)))))), implies(X2, implies(X3, implies(X1, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))))), implies(X2, implies(X3, implies(X1, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))))), implies(X2, implies(X3, implies(X1, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2)))))), implies(X2, implies(X3, implies(X1, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, implies(Y0, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))))), implies(X2, implies(X3, implies(X1, implies(Y0, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X1, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1))))), implies(X2, implies(X3, implies(X1, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y0), Y2))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(implies(Y1, Y0), implies(implies(Y2, Y3), implies(Y3, implies(Y1, Y0)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(implies(Y0, Y1), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(X3, X4), implies(X4, implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(Y3, Y0))), implies(X2, implies(X3, implies(X4, implies(X5, implies(Y1, implies(Y2, implies(Y3, Y0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(Y3, Y1))), implies(X2, implies(X3, implies(X4, implies(X5, implies(Y1, implies(Y2, implies(Y3, Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(Y3, Y1))), implies(X2, implies(X3, implies(Y1, implies(Y2, implies(Y3, Y1))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0)))), implies(X2, implies(X3, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0)))), implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0)))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))), implies(X2, implies(X3, implies(X4, implies(X5, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))), implies(X2, implies(X3, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))), implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))), implies(X2, implies(X3, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))), implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))), implies(X2, implies(X3, implies(X4, implies(X5, implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))), implies(X2, implies(X3, implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))), implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1))))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y4, implies(Y2, Y3)), implies(X2, implies(X3, implies(X4, implies(X5, implies(Y4, implies(Y2, Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y4, implies(Y2, Y3)), implies(X2, implies(X3, implies(Y4, implies(Y2, Y3)))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y4, implies(Y2, Y3)), implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(Y4, implies(Y2, Y3)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y4, implies(Y2, Y3)), implies(implies(X2, X3), implies(X3, implies(Y4, implies(Y2, Y3)))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y4, implies(implies(Y5, Y0), Y3)), implies(implies(X2, X3), implies(X3, implies(Y4, implies(implies(Y5, Y0), Y3)))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y4, implies(implies(Y5, Y2), implies(Y2, Y3))), implies(implies(X2, X3), implies(X3, implies(Y4, implies(implies(Y5, Y2), implies(Y2, Y3))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(Y5, implies(Y6, implies(Y3, implies(Y4, Y1)))), implies(implies(X2, X3), implies(X3, implies(Y5, implies(Y6, implies(Y3, implies(Y4, Y1)))))))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(X3, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y1))))))))), X4), implies(X5, implies(X6, X4)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(X3, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3)))))), X4), implies(X5, implies(X6, X4)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0)))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0)))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y1)))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y2)))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y6, Y1))))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y6, Y3))))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3)))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(Y1, implies(implies(Y2, Y3), implies(Y3, implies(Y4, implies(Y5, Y3)))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(Y0, implies(implies(implies(Y1, implies(Y2, Y0)), Y3), implies(Y4, implies(Y5, Y3)))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(implies(Y0, implies(Y1, Y2)), implies(Y3, implies(Y4, implies(Y0, implies(Y1, Y2))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(X1, implies(X2, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y2), implies(Y4, implies(Y5, Y2))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.86/104.47  	f1(true__, implies(implies(implies(Y0, Y1), implies(Y2, Y3)), implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0))))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), implies(X2, implies(X3, implies(X4, implies(X5, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))))))))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), implies(X2, implies(X3, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))))))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), implies(X2, implies(implies(X3, X2), implies(X4, implies(X5, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))))))))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, Y1)), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y0))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, Y2))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y3)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y0)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y1)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y6, Y0))))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y6, Y1))))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y0), Y2)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y3, Y4), implies(Y5, implies(Y6, Y4))))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, implies(Y5, Y6)), Y1))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, Y2), Y0)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(implies(Y2, Y1), implies(implies(Y3, Y4), implies(Y4, implies(Y2, Y1)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(Y1, implies(implies(Y2, Y3), implies(Y3, implies(implies(Y4, Y5), implies(Y5, Y3)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(Y1, Y0), implies(Y2, implies(Y3, implies(Y1, Y0))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(Y1, Y0), implies(implies(Y2, Y3), implies(Y3, implies(Y1, Y0))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y0))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(implies(Y1, implies(Y2, Y0)), Y3), implies(Y4, implies(Y5, Y3)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(implies(Y1, implies(Y2, Y3)), Y4), implies(Y5, implies(Y3, Y4)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y0, implies(implies(implies(implies(Y1, Y2), Y3), Y2), implies(Y4, implies(Y1, Y2)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2)))), implies(X2, implies(X3, implies(implies(Y1, Y2), implies(Y2, implies(Y3, implies(Y4, Y2)))))))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2)))), implies(implies(X2, X3), implies(X3, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2)))))))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, Y3), implies(Y0, implies(Y1, Y2))), implies(X4, implies(Y4, implies(Y0, implies(Y1, Y2)))))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, Y3), implies(implies(Y0, Y1), implies(Y1, Y2))), implies(X4, implies(Y4, implies(implies(Y0, Y1), implies(Y1, Y2)))))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, Y1)), X0), implies(X4, implies(implies(implies(X0, X1), Y1), X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, Y1)), Y0), implies(X4, implies(Y1, Y0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(X0, X1))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(Y4, Y1))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(Y4, Y2))), X0), implies(X4, implies(implies(Y1, Y2), X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(Y4, implies(X0, X1)))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(Y4, implies(Y5, Y1)))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(X0, X1))))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y1)))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(implies(Y4, Y3), implies(X0, X1)))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(Y3, implies(implies(Y4, implies(Y5, Y6)), Y1))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.86/104.48  	f1(true__, implies(implies(implies(Y2, implies(implies(Y3, Y2), implies(X0, X1))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))), X0), implies(X4, implies(implies(Y1, Y2), X0)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(Y2, implies(implies(Y3, Y4), implies(Y4, implies(X0, X1)))), X0), implies(X4, implies(implies(Y1, Y2), X0)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(Y2, implies(implies(Y3, implies(Y4, Y5)), implies(X0, X1))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0))), implies(implies(X2, X3), implies(X3, implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0))))))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3)))), Y0), implies(X4, implies(Y2, Y0)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(Y4, implies(Y0, implies(Y1, Y2))), Y0), implies(X4, implies(Y3, Y0)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(Y4, implies(Y2, Y0)), implies(Y0, Y1)), implies(X4, implies(implies(Y3, Y0), implies(Y0, Y1))))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), X3), X2), implies(X4, implies(X1, X2)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, implies(implies(Y5, Y4), Y2)))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y0))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(implies(Y4, Y3), Y1))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y2, Y3), implies(Y4, implies(Y5, Y3)))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(Y0, implies(Y1, implies(Y2, implies(implies(Y3, implies(Y4, Y5)), Y0)))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(Y0, implies(implies(Y1, Y0), implies(implies(Y2, Y3), implies(Y3, implies(Y1, Y0))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(Y0, implies(implies(Y1, Y2), implies(Y2, implies(implies(Y3, Y4), implies(Y4, Y2))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(implies(Y0, Y1), implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1)))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(implies(Y0, Y1), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3)))))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(X1, X2), implies(X2, implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))))), X3), implies(X4, implies(X5, X3)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(Y0, Y1), implies(Y1, implies(implies(Y2, Y3), implies(Y3, Y1)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, implies(Y4, implies(Y5, implies(Y1, Y3)))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(Y0, implies(Y1, Y2)), implies(Y3, implies(Y4, implies(Y0, implies(Y1, Y2))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(Y0, implies(Y1, Y2)), implies(implies(Y3, Y4), implies(Y4, implies(Y0, implies(Y1, Y2))))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))), X0), implies(X4, implies(Y1, X0)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(Y2, Y3), implies(Y3, Y1)), Y0), implies(X4, implies(Y1, Y0)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(Y5, Y2), implies(Y2, Y3)), implies(Y0, implies(Y1, Y2))), implies(X4, implies(Y4, implies(Y0, implies(Y1, Y2)))))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, Y1), implies(Y2, Y3)), implies(implies(Y3, Y0), implies(Y4, implies(Y2, Y0)))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, Y2)), Y3), implies(Y4, implies(implies(implies(Y3, Y5), Y2), Y3))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y1), implies(Y4, implies(Y5, Y1))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y2), implies(Y4, implies(Y5, Y2))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, implies(Y2, Y3))), Y4), implies(Y5, implies(Y3, Y4))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, Y0)))), X1), implies(X2, implies(X3, X1))), X4), implies(X5, implies(X6, X4)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y0))))), X1), implies(X2, implies(X3, X1))), X4), implies(X5, implies(X6, X4)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, implies(Y2, implies(Y3, implies(Y4, Y1))))), X1), implies(X2, implies(X3, X1))), X4), implies(X5, implies(X6, X4)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, implies(implies(Y1, Y2), implies(Y3, implies(Y4, Y2))))), X1), implies(X2, implies(X3, X1))), X4), implies(X5, implies(X6, X4)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(Y1, implies(implies(Y2, Y1), Y3))), Y4), implies(Y5, implies(Y3, Y4))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1)))), X1), implies(X2, implies(X3, X1))), X4), implies(X5, implies(X6, X4)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(Y0, implies(implies(Y1, Y0), implies(Y2, Y3))), Y2), implies(Y4, implies(Y5, Y2))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(implies(Y0, Y1), implies(Y1, Y2)), Y3), implies(Y4, implies(Y2, Y3))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(implies(Y0, Y1), implies(Y1, implies(Y2, implies(Y3, Y1)))), X1), implies(X2, implies(X3, X1))), X4), implies(X5, implies(X6, X4)))) -> true__
% 104.95/104.54  	f1(true__, implies(implies(implies(implies(implies(implies(Y0, Y1), implies(Y2, implies(Y3, Y1))), Y4), implies(Y5, implies(Y0, Y4))), X1), implies(X2, implies(X3, X1)))) -> true__
% 104.95/104.54  	f2(f1(true__, Y0), Y0, Y1) -> true__
% 104.95/104.54  	f2(is_a_theorem(X), X, Y) -> true__
% 104.95/104.54  	f2(true__, X, Y) -> f1(is_a_theorem(implies(X, Y)), Y)
% 104.95/104.54  	f3(f1(true__, implies(a, a))) -> true__
% 104.95/104.54  	f3(is_a_theorem(implies(a, a))) -> true__
% 104.95/104.54  	f3(true__) -> false__
% 104.95/104.54  	false__ -> true__
% 104.95/104.54  	is_a_theorem(Y) -> f1(true__, Y)
% 104.95/104.54  	is_a_theorem(implies(implies(implies(P, Q), implies(R, S)), implies(implies(S, P), implies(T, implies(R, P))))) -> true__
% 104.95/104.54  with the LPO induced by
% 104.95/104.54  	a > f3 > f2 > implies > is_a_theorem > f1 > false__ > true__
% 104.95/104.54  
% 104.95/104.54  % SZS output end Proof
% 104.95/104.54  
%------------------------------------------------------------------------------