TSTP Solution File: LCL101-1 by Moca---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n029.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 12:58:00 EDT 2022
% Result : Unsatisfiable 34.08s 33.75s
% Output : Proof 34.08s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : moca.sh %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 23:50:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 34.08/33.75 % SZS status Unsatisfiable
% 34.08/33.75 % SZS output start Proof
% 34.08/33.75 The input problem is unsatisfiable because
% 34.08/33.75
% 34.08/33.75 [1] the following set of Horn clauses is unsatisfiable:
% 34.08/33.75
% 34.08/33.75 is_a_theorem(equivalent(X, Y)) & is_a_theorem(X) ==> is_a_theorem(Y)
% 34.08/33.75 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X, Y), equivalent(X, Z)), equivalent(Y, Z)), U), U))
% 34.08/33.75 is_a_theorem(equivalent(X, equivalent(equivalent(equivalent(equivalent(Y, Z), equivalent(Y, U)), equivalent(Z, U)), X)))
% 34.08/33.75 is_a_theorem(equivalent(equivalent(equivalent(a, b), c), equivalent(equivalent(e, b), equivalent(equivalent(a, e), c)))) ==> \bottom
% 34.08/33.75
% 34.08/33.75 This holds because
% 34.08/33.75
% 34.08/33.75 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 34.08/33.75
% 34.08/33.75 E:
% 34.08/33.75 f1(true__, Y) = is_a_theorem(Y)
% 34.08/33.75 f2(is_a_theorem(X), X, Y) = true__
% 34.08/33.75 f2(true__, X, Y) = f1(is_a_theorem(equivalent(X, Y)), Y)
% 34.08/33.75 f3(is_a_theorem(equivalent(equivalent(equivalent(a, b), c), equivalent(equivalent(e, b), equivalent(equivalent(a, e), c))))) = true__
% 34.08/33.75 f3(true__) = false__
% 34.08/33.75 is_a_theorem(equivalent(X, equivalent(equivalent(equivalent(equivalent(Y, Z), equivalent(Y, U)), equivalent(Z, U)), X))) = true__
% 34.08/33.75 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X, Y), equivalent(X, Z)), equivalent(Y, Z)), U), U)) = true__
% 34.08/33.75 G:
% 34.08/33.75 true__ = false__
% 34.08/33.75
% 34.08/33.75 This holds because
% 34.08/33.75
% 34.08/33.75 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 34.08/33.75
% 34.08/33.75
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(X0, X0), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(X0, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), X0))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(X0, equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(equivalent(X4, X5), equivalent(X4, X5)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(X0, equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(X0, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, X0))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(X0, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), X0)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X1)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, X1), equivalent(X0, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), X1))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, X1), equivalent(equivalent(X2, X0), equivalent(X2, X1))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, X1), equivalent(equivalent(X2, X0), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(X2, X1)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, X1), equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, X0), equivalent(X5, X1)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, X1), equivalent(equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), X0), X1)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(X1, X2)), equivalent(equivalent(equivalent(X1, X3), X0), equivalent(X3, X2))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), X4)), X4), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), X3)), equivalent(X0, equivalent(equivalent(equivalent(X4, X1), equivalent(X4, X2)), X3))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X0, equivalent(X2, X3))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(X0, equivalent(X4, equivalent(equivalent(equivalent(equivalent(X5, X6), equivalent(X5, X7)), equivalent(X6, X7)), X4)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(X0, equivalent(equivalent(X4, X5), equivalent(X4, X5)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(X0, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(X0, equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(X0, equivalent(equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), X7), X7))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(X0, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), X4)), equivalent(X0, X4)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), X2), equivalent(equivalent(X3, X1), equivalent(equivalent(X0, X3), X2))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), X2), equivalent(equivalent(equivalent(X3, X0), equivalent(X3, X1)), X2)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X1)), equivalent(X2, equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), X2))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X1)), equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X1)), equivalent(equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), X5), X5)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(X1, X2))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(X6, X1), equivalent(X6, X2)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, equivalent(X2, X3))), equivalent(equivalent(equivalent(X2, X4), X1), equivalent(X4, X3))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), X5))), X5), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(equivalent(X2, X0), X3)), equivalent(equivalent(X2, X1), X3)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(equivalent(X2, X0), equivalent(X2, X3))), equivalent(X1, X3)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(X1, X2)), equivalent(X0, X3)), equivalent(equivalent(equivalent(X4, X1), equivalent(X4, X2)), X3)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(X1, X2)), equivalent(X0, equivalent(X1, X3))), equivalent(X2, X3)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(X1, equivalent(X2, X3))), equivalent(X0, equivalent(X1, equivalent(X2, X4)))), equivalent(X3, X4)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)))), equivalent(X0, equivalent(X1, X5))), X5), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), X3)), equivalent(X0, equivalent(X2, X4))), equivalent(X3, equivalent(X1, X4))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X0, X4)), equivalent(equivalent(X2, X3), X4)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X0, equivalent(X2, X3))), equivalent(X4, equivalent(equivalent(equivalent(equivalent(X5, X6), equivalent(X5, X7)), equivalent(X6, X7)), X4))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X0, equivalent(X2, X3))), equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X0, equivalent(X2, X3))), equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), equivalent(X7, equivalent(equivalent(equivalent(equivalent(X8, X9), equivalent(X8, X10)), equivalent(X9, X10)), X7)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X0, equivalent(X2, X3))), equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X0, equivalent(X2, X3))), equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), equivalent(equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), X10), X10))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X0, equivalent(X2, X3))), equivalent(equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), X7), X7)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(X0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(X0, X4)), X4), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), X2), equivalent(X1, X3)), equivalent(X2, equivalent(X0, X3))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), X3), equivalent(equivalent(X1, X2), X3)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(X3, X3)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(X3, equivalent(equivalent(X4, equivalent(equivalent(equivalent(X5, X6), equivalent(X5, X7)), equivalent(X6, X7))), equivalent(X4, X3)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), X3))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, X4), equivalent(X3, X4))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, X4), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X5, X6), equivalent(X5, X7)), equivalent(X6, X7)), X4)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, X4), equivalent(equivalent(equivalent(equivalent(X5, X6), equivalent(X5, X7)), equivalent(X6, X7)), equivalent(equivalent(X8, X3), equivalent(X8, X4))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(X4, X5)), equivalent(X3, equivalent(X4, X5)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(X4, X5)), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X6, X7), equivalent(X6, X8)), equivalent(X7, X8)), equivalent(equivalent(X9, X4), equivalent(X9, X5)))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(X4, X5), X6)), equivalent(X3, equivalent(equivalent(equivalent(X7, X4), equivalent(X7, X5)), X6)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(X4, X5), equivalent(X4, X6))), equivalent(X3, equivalent(X5, X6)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(X7, equivalent(equivalent(equivalent(equivalent(X8, X9), equivalent(X8, X10)), equivalent(X9, X10)), X7))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), equivalent(X10, equivalent(equivalent(equivalent(equivalent(X11, X12), equivalent(X11, X13)), equivalent(X12, X13)), X10)))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), equivalent(equivalent(equivalent(X10, X11), equivalent(X10, X12)), equivalent(X11, X12)))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), equivalent(equivalent(equivalent(equivalent(equivalent(X10, X11), equivalent(X10, X12)), equivalent(X11, X12)), X13), X13))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), X10), X10)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), X7)), equivalent(X3, X7))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(X3, X4), X5), equivalent(equivalent(equivalent(X6, X3), equivalent(X6, X4)), X5))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(X3, equivalent(X4, X5)), equivalent(X3, equivalent(X4, X6))), equivalent(X5, X6))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(X6, equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), X6)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(equivalent(X6, X7), equivalent(X6, X8)), equivalent(X7, X8)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(equivalent(equivalent(X6, X7), equivalent(X6, X8)), equivalent(X7, X8)), equivalent(X9, equivalent(equivalent(equivalent(equivalent(X10, X11), equivalent(X10, X12)), equivalent(X11, X12)), X9))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(equivalent(equivalent(X6, X7), equivalent(X6, X8)), equivalent(X7, X8)), equivalent(equivalent(equivalent(X9, X10), equivalent(X9, X11)), equivalent(X10, X11))))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(equivalent(equivalent(X6, X7), equivalent(X6, X8)), equivalent(X7, X8)), equivalent(equivalent(equivalent(equivalent(equivalent(X9, X10), equivalent(X9, X11)), equivalent(X10, X11)), X12), X12)))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(equivalent(equivalent(equivalent(X6, X7), equivalent(X6, X8)), equivalent(X7, X8)), X9), X9))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), X6), X6)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), X3), X3), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(X3, X4)), equivalent(equivalent(X5, X3), equivalent(X5, X4))), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(X3, X4), equivalent(X3, X5))), equivalent(X4, X5)), Y1)), Y1) -> true__
% 34.08/33.75 f1(f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)), equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), X6)), X6), Y1)), Y1) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(Y0, Y0)))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(Y0, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), Y0))))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(Y0, Y1), equivalent(Y0, Y1))))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(Y0, Y1), equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), equivalent(equivalent(Y5, Y0), equivalent(Y5, Y1))))))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(Y0, equivalent(Y2, Y3)))))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(Y0, Y1), Y2), equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), Y2))))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y1, Y2)))))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(Y1, Y3))), equivalent(Y2, Y3))))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, Y4)), Y4)))) -> true__
% 34.08/33.75 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(Y3, Y3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(Y3, equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y3)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(Y3, equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6))), equivalent(Y3, equivalent(Y5, Y6))))))) -> true__
% 34.08/33.76 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), Y6), Y6))))) -> true__
% 34.08/33.76 f1(true__, equivalent(X1, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), Y3), Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(X2, equivalent(X0, equivalent(Y1, equivalent(equivalent(X0, equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)))), X2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(X2, equivalent(X0, equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(equivalent(X0, Y1), X2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(X2, equivalent(Y5, equivalent(equivalent(Y5, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), X2)))) -> true__
% 34.08/33.76 f1(true__, equivalent(Y0, equivalent(equivalent(equivalent(X4, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(X4, equivalent(Y2, Y3))), Y0))) -> true__
% 34.08/33.76 f1(true__, equivalent(Y0, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), Y0)))) -> true__
% 34.08/33.76 f1(true__, equivalent(Y0, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), Y0))) -> true__
% 34.08/33.76 f1(true__, equivalent(Y1, Y1)) -> true__
% 34.08/33.76 f1(true__, equivalent(Y1, equivalent(equivalent(Y5, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(Y5, Y1)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, X2), equivalent(Y1, equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(equivalent(X0, X1), equivalent(X0, X2)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, X2), equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(Y1, equivalent(equivalent(X0, X1), equivalent(X0, X2)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(Y0, Y0)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y1))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(Y0, Y1), equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), equivalent(equivalent(Y5, Y0), equivalent(Y5, Y1))))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(Y0, equivalent(Y2, Y3)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(equivalent(Y0, Y1), Y2), equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y1, Y2)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(Y1, Y3))), equivalent(Y2, Y3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(Y0, equivalent(Y2, Y3))), equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, Y4)), Y4)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(Y3, Y3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X1, equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4))), equivalent(X1, equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(Y3, equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6))), equivalent(Y3, equivalent(Y5, Y6))))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, X1), equivalent(equivalent(equivalent(X2, X0), equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(X0, X1)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, X3), equivalent(equivalent(Y0, equivalent(X1, X2)), equivalent(Y0, equivalent(X1, X3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, Y0), equivalent(X2, equivalent(Y1, equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), Y0))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, Y0), equivalent(X2, equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(Y1, Y0))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(Y0, Y1)), equivalent(X2, equivalent(Y0, equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), Y1))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(Y0, Y1)), equivalent(X2, equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), equivalent(equivalent(Y5, Y0), equivalent(Y5, Y1)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(Y0, equivalent(equivalent(X2, equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)))), X3))), X3)) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)))), equivalent(X2, equivalent(Y0, equivalent(Y2, Y3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(Y0, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), Y4))), equivalent(X2, equivalent(Y0, Y4)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(Y1, Y2)), equivalent(X2, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X2, equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y1, Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, Y3))), equivalent(X2, equivalent(equivalent(equivalent(Y4, Y1), equivalent(Y4, Y2)), Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(Y1, Y3)))), equivalent(X2, equivalent(Y2, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X2, equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, Y4))), equivalent(X2, Y4))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, X1), equivalent(equivalent(X0, X3), equivalent(Y1, equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(X0, X1)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, X1), equivalent(equivalent(X0, X3), equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(Y1, equivalent(X0, X1)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, X4), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X5, X6), equivalent(X5, X7)), equivalent(X6, X7)), X4)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, Y1), equivalent(equivalent(Y0, X3), equivalent(Y0, equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), Y1))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, Y2), equivalent(equivalent(equivalent(Y0, Y1), X3), equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), Y2)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(Y0, Y3)), equivalent(equivalent(equivalent(Y0, equivalent(Y1, Y2)), X3), equivalent(equivalent(equivalent(Y4, Y1), equivalent(Y4, Y2)), Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(Y0, Y4)), equivalent(equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), X3), Y4))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(Y0, equivalent(Y1, Y3))), equivalent(equivalent(equivalent(Y0, equivalent(Y1, Y2)), X3), equivalent(Y2, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(Y1, Y2)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), X3), equivalent(Y3, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(Y1, Y2)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), X3), equivalent(equivalent(Y3, Y4), equivalent(Y3, Y4))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(X4, X5), X6)), equivalent(X3, equivalent(equivalent(equivalent(X7, X4), equivalent(X7, X5)), X6)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(X4, X5), equivalent(X4, X6))), equivalent(X3, equivalent(X5, X6)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(equivalent(Y0, X3), equivalent(Y0, equivalent(Y2, Y3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(X7, equivalent(equivalent(equivalent(equivalent(X8, X9), equivalent(X8, X10)), equivalent(X9, X10)), X7))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), equivalent(X10, equivalent(equivalent(equivalent(equivalent(X11, X12), equivalent(X11, X13)), equivalent(X12, X13)), X10)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), equivalent(equivalent(equivalent(X10, X11), equivalent(X10, X12)), equivalent(X11, X12)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), equivalent(equivalent(equivalent(equivalent(equivalent(X10, X11), equivalent(X10, X12)), equivalent(X11, X12)), X13), X13))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6))), equivalent(X3, equivalent(equivalent(equivalent(equivalent(equivalent(X7, X8), equivalent(X7, X9)), equivalent(X8, X9)), X10), X10)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), X7)), equivalent(X3, X7))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(X3, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), Y4)), equivalent(equivalent(Y0, X3), equivalent(Y0, Y4)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y0, Y1), equivalent(equivalent(Y5, Y0), equivalent(Y5, Y1)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y0, Y1), equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), equivalent(equivalent(Y5, Y0), equivalent(Y5, Y1)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y0, equivalent(Y2, Y3)), equivalent(equivalent(equivalent(equivalent(Y5, Y6), equivalent(Y5, Y7)), equivalent(Y6, Y7)), equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y0, equivalent(equivalent(X2, equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)))), equivalent(X2, X3))), X3)) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y0, equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), X2)), X2)) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(Y0, equivalent(Y2, Y3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y1, X2), equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), equivalent(Y0, X2)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y1, Y2), equivalent(equivalent(Y0, Y1), equivalent(equivalent(equivalent(equivalent(Y5, Y6), equivalent(Y5, Y7)), equivalent(Y6, Y7)), equivalent(Y0, Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y1, Y2), equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y1, Y7), equivalent(equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y1), Y7))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y1, equivalent(Y4, Y6)), equivalent(equivalent(equivalent(Y4, Y5), Y1), equivalent(Y5, Y6)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y4, Y5), equivalent(Y4, Y5))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(Y5, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(Y5, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X1, X2), equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(equivalent(equivalent(X4, X1), equivalent(X4, X2)), equivalent(Y2, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X1, X3), equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, equivalent(X1, X2)))), equivalent(X3, X2))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X1, X3), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(X1, X2))), equivalent(X3, X2))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, X0), equivalent(X3, X1)), equivalent(Y1, equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(X0, X1))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, X0), equivalent(X3, X1)), equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), equivalent(X0, X1)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, Y0), equivalent(X3, Y1)), equivalent(Y0, equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), Y1)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, Y0), equivalent(X3, Y1)), equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), equivalent(equivalent(Y5, Y0), equivalent(Y5, Y1))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, Y0), equivalent(X3, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)))), equivalent(Y0, equivalent(Y2, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, Y0), equivalent(X3, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), Y4))), equivalent(Y0, Y4))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(Y0, Y1)), equivalent(X3, Y2)), equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), Y2))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(Y0, Y1)), equivalent(X3, equivalent(Y0, Y2))), equivalent(Y1, Y2))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(Y0, equivalent(Y1, Y2))), equivalent(X3, equivalent(Y0, Y3))), equivalent(equivalent(equivalent(Y4, Y1), equivalent(Y4, Y2)), Y3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(Y0, equivalent(Y1, Y2))), equivalent(X3, equivalent(Y0, equivalent(Y1, Y3)))), equivalent(Y2, Y3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)))), equivalent(X3, equivalent(Y0, equivalent(Y2, Y3)))), equivalent(Y4, equivalent(equivalent(equivalent(equivalent(Y5, Y6), equivalent(Y5, Y7)), equivalent(Y6, Y7)), Y4)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)))), equivalent(X3, equivalent(Y0, equivalent(Y2, Y3)))), equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)))), equivalent(X3, equivalent(Y0, equivalent(Y2, Y3)))), equivalent(equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y7), Y7))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)))), equivalent(X3, equivalent(Y0, Y4))), Y4)) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(Y3, Y3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(Y3, equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(Y3, Y4), equivalent(Y3, Y4)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(Y3, Y4), equivalent(Y3, equivalent(equivalent(equivalent(equivalent(Y5, Y6), equivalent(Y5, Y7)), equivalent(Y6, Y7)), Y4))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(Y3, equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6))), equivalent(Y3, equivalent(Y5, Y6))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(Y3, equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y7)), equivalent(Y3, Y7)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y6, equivalent(equivalent(equivalent(equivalent(Y7, Y8), equivalent(Y7, Y9)), equivalent(Y8, Y9)), Y6))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(equivalent(equivalent(Y6, Y7), equivalent(Y6, Y8)), equivalent(Y7, Y8))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(equivalent(equivalent(equivalent(equivalent(Y6, Y7), equivalent(Y6, Y8)), equivalent(Y7, Y8)), Y9), Y9)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X3, equivalent(Y1, Y2))), equivalent(equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), Y6), Y6))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X3, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X3, Y3)), Y3)) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X4, X1), equivalent(X4, X2)), equivalent(equivalent(Y5, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(Y5, equivalent(X1, X2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X4, Y0), equivalent(X4, equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), X3))), X3)) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X4, Y1), equivalent(X4, Y2)), equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X4, Y1), equivalent(X4, equivalent(Y4, Y6))), equivalent(equivalent(equivalent(Y4, Y5), Y1), equivalent(Y5, Y6)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(X4, equivalent(equivalent(Y1, Y2), Y5)), equivalent(X4, equivalent(Y2, Y3))), equivalent(Y5, equivalent(Y1, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, Y0), equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(equivalent(X4, X5), equivalent(X4, X5)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, Y1), Y2), equivalent(equivalent(equivalent(X4, equivalent(Y3, Y0)), equivalent(X4, equivalent(Y3, Y1))), Y2))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, Y1), Y2), equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), Y2)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y1)), equivalent(X4, equivalent(equivalent(equivalent(equivalent(X5, X6), equivalent(X5, X7)), equivalent(X6, X7)), X4)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y1)), equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y1)), equivalent(equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), X7), X7))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y1, Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, Y1), equivalent(equivalent(Y3, Y0), X3)), equivalent(equivalent(Y3, Y1), X3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(Y1, Y3))), equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(Y2, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(equivalent(Y4, Y1), X3))), equivalent(equivalent(Y4, Y2), X3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5))), equivalent(Y0, Y2)), equivalent(equivalent(Y4, Y5), Y2))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, Y4)), equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), Y4))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, equivalent(equivalent(X1, X2), equivalent(X1, X3)))), equivalent(X2, X3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)))), equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), X4))), X4)) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y1, X3), Y0), equivalent(X3, equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), Y0)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y2, X3), equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(Y1, Y3)))), equivalent(X3, Y3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y2, Y4), Y1), equivalent(equivalent(Y3, Y4), equivalent(equivalent(Y2, Y3), Y1)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y3, X3), equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X3, Y3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y3, Y3), Y2), Y2)) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y4, Y5), Y2), equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), Y2))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(Y4, Y5), equivalent(equivalent(X1, Y4), equivalent(X1, Y6))), equivalent(Y5, Y6))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(Y0, equivalent(Y1, equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), Y0))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(Y0, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), Y0)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(Y0, Y1), equivalent(Y0, Y1)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(Y0, Y1), equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), equivalent(equivalent(Y5, Y0), equivalent(Y5, Y1)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(Y0, Y1), Y2), equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), Y2)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y1, Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, Y3)), equivalent(equivalent(equivalent(Y4, Y1), equivalent(Y4, Y2)), Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(Y1, Y3))), equivalent(Y2, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(Y0, equivalent(Y2, Y3))), equivalent(Y4, equivalent(equivalent(equivalent(equivalent(Y5, Y6), equivalent(Y5, Y7)), equivalent(Y6, Y7)), Y4))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(Y0, equivalent(Y2, Y3))), equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3))), equivalent(Y0, equivalent(Y2, Y3))), equivalent(equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y7), Y7)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, Y4)), Y4))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(Y3, Y3)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(Y3, equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(Y3, Y4), equivalent(Y3, Y4))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(Y3, Y4), equivalent(Y3, equivalent(equivalent(equivalent(equivalent(Y5, Y6), equivalent(Y5, Y7)), equivalent(Y6, Y7)), Y4)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(Y3, equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6))), equivalent(Y3, equivalent(Y5, Y6)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(Y3, equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y7)), equivalent(Y3, Y7))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y6, equivalent(equivalent(equivalent(equivalent(Y7, Y8), equivalent(Y7, Y9)), equivalent(Y8, Y9)), Y6)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(equivalent(equivalent(Y6, Y7), equivalent(Y6, Y8)), equivalent(Y7, Y8)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(equivalent(equivalent(equivalent(equivalent(Y6, Y7), equivalent(Y6, Y8)), equivalent(Y7, Y8)), Y9), Y9))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), Y6), Y6)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), Y3), Y3))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, Y0), equivalent(X5, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), Y0))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(Y0, Y1)), equivalent(X5, equivalent(Y0, Y1))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(Y0, Y1)), equivalent(X5, equivalent(equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4)), equivalent(equivalent(Y5, Y0), equivalent(Y5, Y1))))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(Y0, Y1), Y2)), equivalent(X5, equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X5, equivalent(Y1, Y2))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2))), equivalent(X5, equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y1, Y2)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(Y1, Y3)))), equivalent(X5, equivalent(Y2, Y3))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), equivalent(Y0, Y4))), equivalent(X5, Y4)))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X5, equivalent(Y3, equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), Y3)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X5, equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X5, equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(Y6, equivalent(equivalent(equivalent(equivalent(Y7, Y8), equivalent(Y7, Y9)), equivalent(Y8, Y9)), Y6))))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X5, equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(equivalent(equivalent(Y6, Y7), equivalent(Y6, Y8)), equivalent(Y7, Y8))))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X5, equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), equivalent(equivalent(equivalent(equivalent(equivalent(Y6, Y7), equivalent(Y6, Y8)), equivalent(Y7, Y8)), Y9), Y9)))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X5, equivalent(equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), equivalent(Y4, Y5)), Y6), Y6))))) -> true__
% 34.08/33.76 f1(true__, equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(X5, equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), Y3)), equivalent(X5, Y3)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(Y1, Y1))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(Y1, equivalent(equivalent(Y5, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), equivalent(Y5, Y1))))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(X6, equivalent(Y0, equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), X2))), equivalent(X6, X2)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(Y0, equivalent(equivalent(Y0, equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3))), X2)), X2))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(X3, X4), equivalent(X3, X5)), equivalent(X4, X5)), equivalent(equivalent(equivalent(equivalent(Y3, Y4), equivalent(Y3, Y5)), Y2), equivalent(equivalent(Y4, Y5), Y2)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y1)), equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(equivalent(X4, X5), equivalent(X4, X5)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(Y1, Y2), Y5), equivalent(Y2, Y3)), equivalent(Y5, equivalent(Y1, Y3)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), X3), equivalent(equivalent(Y2, Y3), X3))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), equivalent(equivalent(equivalent(X0, X1), equivalent(X0, X2)), equivalent(X1, X2)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(Y1, equivalent(equivalent(equivalent(Y2, Y3), equivalent(Y2, Y4)), equivalent(Y3, Y4))), X3), Y0), equivalent(X3, equivalent(Y1, Y0)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(Y3, Y4), X3), equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(X3, equivalent(Y3, Y4)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(Y0, equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)))), equivalent(Y0, equivalent(Y2, Y3)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(Y0, Y1), Y2)), equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), Y2))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, equivalent(Y1, Y3)))), equivalent(Y2, Y3))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2))), equivalent(Y3, Y3))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), Y3), Y3)) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), Y3), equivalent(equivalent(equivalent(equivalent(X2, X3), equivalent(X2, X4)), equivalent(X3, X4)), Y3))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(X1, X2), equivalent(X1, X3))), equivalent(X2, X3))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(X4, equivalent(equivalent(equivalent(equivalent(X5, X6), equivalent(X5, X7)), equivalent(X6, X7)), X4)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(equivalent(X4, X5), equivalent(X4, X5)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3))), equivalent(equivalent(equivalent(equivalent(equivalent(X4, X5), equivalent(X4, X6)), equivalent(X5, X6)), X7), X7))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y0, Y1), equivalent(Y0, Y2)), equivalent(Y1, Y2)), equivalent(equivalent(equivalent(equivalent(X1, X2), equivalent(X1, X3)), equivalent(X2, X3)), X4)), X4)) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y3, Y0), equivalent(Y3, Y1)), X3), equivalent(equivalent(Y0, Y1), Y2)), equivalent(X3, Y2))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y4, Y1), equivalent(Y4, Y2)), X3), equivalent(equivalent(Y0, equivalent(Y1, Y2)), equivalent(Y0, Y3))), equivalent(X3, Y3))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(Y4, Y5), equivalent(Y4, Y6)), equivalent(Y5, Y6)), equivalent(Y2, Y3)), equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)))) -> true__
% 34.08/33.77 f1(true__, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(Y1, Y2), equivalent(Y1, Y3)), equivalent(Y2, Y3)), X3), Y0), equivalent(X3, Y0))) -> true__
% 34.08/33.77 f2(f1(true__, Y0), Y0, Y1) -> true__
% 34.08/33.77 f2(is_a_theorem(X), X, Y) -> true__
% 34.08/33.77 f2(true__, X, Y) -> f1(is_a_theorem(equivalent(X, Y)), Y)
% 34.08/33.77 f3(f1(true__, equivalent(equivalent(equivalent(a, b), c), equivalent(equivalent(e, b), equivalent(equivalent(a, e), c))))) -> true__
% 34.08/33.77 f3(is_a_theorem(equivalent(equivalent(equivalent(a, b), c), equivalent(equivalent(e, b), equivalent(equivalent(a, e), c))))) -> true__
% 34.08/33.77 f3(true__) -> false__
% 34.08/33.77 is_a_theorem(Y) -> f1(true__, Y)
% 34.08/33.77 is_a_theorem(equivalent(X, equivalent(equivalent(equivalent(equivalent(Y, Z), equivalent(Y, U)), equivalent(Z, U)), X))) -> true__
% 34.08/33.77 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X, Y), equivalent(X, Z)), equivalent(Y, Z)), U), U)) -> true__
% 34.08/33.77 true__ -> false__
% 34.08/33.77 with the LPO induced by
% 34.08/33.77 e > c > b > a > f2 > equivalent > f3 > is_a_theorem > f1 > true__ > false__
% 34.08/33.77
% 34.08/33.77 % SZS output end Proof
% 34.08/33.77
%------------------------------------------------------------------------------