TSTP Solution File: GRP447-1 by Moca---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:55:31 EDT 2022
% Result : Unsatisfiable 65.90s 66.00s
% Output : Proof 65.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : moca.sh %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 08:48:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 65.90/66.00 % SZS status Unsatisfiable
% 65.90/66.00 % SZS output start Proof
% 65.90/66.00 The input problem is unsatisfiable because
% 65.90/66.00
% 65.90/66.00 [1] the following set of Horn clauses is unsatisfiable:
% 65.90/66.00
% 65.90/66.00 divide(A, divide(divide(divide(divide(A, A), B), C), divide(divide(divide(A, A), A), C))) = B
% 65.90/66.00 multiply(A, B) = divide(A, divide(divide(C, C), B))
% 65.90/66.00 inverse(A) = divide(divide(B, B), A)
% 65.90/66.00 multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)) ==> \bottom
% 65.90/66.00
% 65.90/66.00 This holds because
% 65.90/66.00
% 65.90/66.00 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 65.90/66.00
% 65.90/66.00 E:
% 65.90/66.00 divide(A, divide(divide(divide(divide(A, A), B), C), divide(divide(divide(A, A), A), C))) = B
% 65.90/66.00 f1(multiply(a3, multiply(b3, c3))) = false__
% 65.90/66.00 f1(multiply(multiply(a3, b3), c3)) = true__
% 65.90/66.00 inverse(A) = divide(divide(B, B), A)
% 65.90/66.00 multiply(A, B) = divide(A, divide(divide(C, C), B))
% 65.90/66.00 G:
% 65.90/66.00 true__ = false__
% 65.90/66.00
% 65.90/66.00 This holds because
% 65.90/66.00
% 65.90/66.00 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 65.90/66.00
% 65.90/66.00 divide(X0, divide(Y2, Y1)) = divide(divide(X0, inverse(Y1)), Y2)
% 65.90/66.00 divide(X0, divide(Y2, Y1)) = inverse(divide(Y2, divide(X0, inverse(Y1))))
% 65.90/66.00 divide(X0, divide(divide(X0, X1), inverse(X1))) = divide(Y1, Y1)
% 65.90/66.00 divide(X1, X1) = divide(X0, X0)
% 65.90/66.00 divide(X1, X1) = divide(Y0, inverse(inverse(Y0)))
% 65.90/66.00 divide(X1, X1) = divide(inverse(X0), inverse(X0))
% 65.90/66.00 divide(X1, inverse(inverse(X1))) = divide(Y1, inverse(inverse(Y1)))
% 65.90/66.00 divide(Y0, X0) = inverse(divide(X0, Y0))
% 65.90/66.00 divide(Y0, divide(divide(Y0, divide(X0, X1)), divide(X1, X0))) = divide(Y2, Y2)
% 65.90/66.00 divide(Y0, inverse(divide(divide(inverse(Y0), Y2), Y1))) = inverse(divide(Y1, inverse(Y2)))
% 65.90/66.00 divide(Y0, inverse(divide(divide(inverse(Y0), inverse(X1)), X0))) = inverse(divide(X0, X1))
% 65.90/66.00 divide(Y0, inverse(divide(inverse(divide(X1, X0)), Y2))) = divide(Y0, divide(Y2, divide(X0, X1)))
% 65.90/66.00 divide(divide(X1, X0), inverse(divide(X0, X1))) = divide(Y1, Y1)
% 65.90/66.00 divide(divide(Y0, Y1), X0) = divide(Y0, divide(X0, inverse(Y1)))
% 65.90/66.00 divide(divide(Y0, Y1), X0) = inverse(divide(divide(X0, inverse(Y1)), Y0))
% 65.90/66.00 divide(divide(Y0, Y1), divide(X0, Y1)) = inverse(divide(X0, Y0))
% 65.90/66.00 divide(divide(Y0, Y1), inverse(divide(Y1, Y2))) = inverse(divide(Y2, Y0))
% 65.90/66.00 divide(divide(inverse(Y0), Y1), divide(X0, Y1)) = inverse(divide(X0, inverse(Y0)))
% 65.90/66.00 divide(false__, false__) = divide(Y0, inverse(inverse(Y0)))
% 65.90/66.00 divide(false__, false__) = divide(Y1, Y1)
% 65.90/66.00 divide(false__, false__) = inverse(inverse(divide(Y0, Y0)))
% 65.90/66.00 divide(inverse(divide(X1, X0)), divide(X0, X1)) = divide(Y1, Y1)
% 65.90/66.00 divide(inverse(divide(Y1, Y0)), Y2) = divide(Y0, divide(Y2, inverse(Y1)))
% 65.90/66.00 divide(inverse(divide(Y1, Y0)), divide(Y2, Y1)) = inverse(divide(Y2, Y0))
% 65.90/66.00 divide(inverse(divide(inverse(Y1), Y0)), Y2) = divide(Y0, divide(Y2, Y1))
% 65.90/66.00 divide(inverse(inverse(X0)), X0) = divide(Y1, Y1)
% 65.90/66.00 inverse(divide(X0, X0)) = divide(Y1, inverse(inverse(Y1)))
% 65.90/66.00 inverse(divide(X0, X0)) = divide(false__, false__)
% 65.90/66.00 inverse(divide(X0, X0)) = inverse(divide(Y1, Y1))
% 65.90/66.00 inverse(divide(X1, X1)) = divide(Y0, Y0)
% 65.90/66.00 inverse(divide(X1, inverse(inverse(X1)))) = divide(Y0, Y0)
% 65.90/66.00 inverse(divide(X1, inverse(inverse(X1)))) = divide(Y1, inverse(inverse(Y1)))
% 65.90/66.00 inverse(divide(X1, inverse(inverse(X1)))) = divide(false__, false__)
% 65.90/66.00 inverse(divide(Y0, inverse(divide(X2, X1)))) = divide(X1, inverse(divide(inverse(X2), Y0)))
% 65.90/66.00 inverse(divide(Y1, inverse(divide(inverse(Y2), Y0)))) = divide(Y0, inverse(divide(Y2, Y1)))
% 65.90/66.00 inverse(divide(Y2, divide(Y0, Y1))) = divide(Y0, divide(Y2, inverse(Y1)))
% 65.90/66.00 inverse(divide(divide(X0, X1), inverse(divide(X1, X0)))) = divide(Y1, Y1)
% 65.90/66.00 inverse(divide(divide(X1, X2), divide(X0, X2))) = divide(X0, X1)
% 65.90/66.00 inverse(divide(divide(Y0, Y1), inverse(divide(Y1, Y2)))) = divide(Y2, Y0)
% 65.90/66.00 inverse(divide(divide(Y1, Y2), Y0)) = divide(divide(Y0, inverse(Y2)), Y1)
% 65.90/66.00 inverse(divide(false__, false__)) = divide(X0, X0)
% 65.90/66.00 inverse(divide(inverse(Y1), inverse(Y1))) = inverse(divide(X0, X0))
% 65.90/66.00 inverse(divide(inverse(divide(X0, X1)), divide(X1, X0))) = divide(Y1, Y1)
% 65.90/66.00 inverse(divide(inverse(divide(Y1, Y0)), divide(Y2, Y1))) = divide(Y2, Y0)
% 65.90/66.00 inverse(inverse(divide(X0, X0))) = divide(Y1, Y1)
% 65.90/66.00 inverse(inverse(divide(X0, X0))) = divide(Y1, inverse(inverse(Y1)))
% 65.90/66.00 inverse(inverse(divide(X0, X0))) = inverse(divide(Y1, Y1))
% 65.90/66.00 inverse(inverse(divide(X0, X0))) = inverse(divide(false__, false__))
% 65.90/66.00 inverse(inverse(divide(X1, inverse(inverse(X1))))) = divide(Y1, Y1)
% 65.90/66.00 inverse(inverse(divide(X1, inverse(inverse(X1))))) = divide(Y1, inverse(inverse(Y1)))
% 65.90/66.00 inverse(inverse(inverse(divide(X0, X0)))) = divide(Y1, Y1)
% 65.90/66.00 inverse(inverse(inverse(divide(X0, X0)))) = divide(false__, false__)
% 65.90/66.00 inverse(inverse(inverse(divide(X0, X0)))) = inverse(divide(Y1, Y1))
% 65.90/66.00 inverse(inverse(inverse(divide(X1, X1)))) = divide(X0, inverse(inverse(X0)))
% 65.90/66.00 inverse(inverse(inverse(divide(X1, inverse(inverse(X1)))))) = divide(X0, X0)
% 65.90/66.00 inverse(inverse(inverse(divide(X1, inverse(inverse(X1)))))) = divide(X0, inverse(inverse(X0)))
% 65.90/66.00 inverse(inverse(inverse(divide(X1, inverse(inverse(X1)))))) = divide(false__, false__)
% 65.90/66.00 multiply(A, B) = divide(A, divide(divide(C, C), B))
% 65.90/66.00 divide(A, divide(divide(divide(divide(A, A), B), C), divide(divide(divide(A, A), A), C))) -> B
% 65.90/66.00 divide(X0, inverse(divide(inverse(X1), divide(inverse(Y2), inverse(divide(X0, X1)))))) -> Y2
% 65.90/66.00 divide(X0, inverse(divide(inverse(X1), inverse(divide(inverse(divide(X0, X1)), Y1))))) -> inverse(Y1)
% 65.90/66.00 divide(X2, inverse(divide(divide(inverse(X2), X0), X1))) -> divide(inverse(X0), X1)
% 65.90/66.00 divide(X2, inverse(divide(divide(inverse(X2), inverse(X0)), X1))) -> divide(X0, X1)
% 65.90/66.00 divide(Y0, divide(X0, divide(inverse(Y0), Y2))) -> inverse(divide(X0, inverse(Y2)))
% 65.90/66.00 divide(Y0, divide(X0, inverse(Y0))) -> inverse(X0)
% 65.90/66.00 divide(Y0, divide(X1, X1)) -> Y0
% 65.90/66.00 divide(Y0, divide(X1, inverse(inverse(X1)))) -> Y0
% 65.90/66.00 divide(Y0, divide(Y1, inverse(divide(Y2, inverse(Y0))))) -> inverse(divide(Y1, inverse(Y2)))
% 65.90/66.00 divide(Y0, divide(divide(X0, Y2), divide(inverse(Y0), Y2))) -> inverse(X0)
% 65.90/66.00 divide(Y0, divide(divide(Y1, Y2), inverse(divide(Y2, inverse(Y0))))) -> inverse(Y1)
% 65.90/66.00 divide(Y0, divide(divide(inverse(Y1), Y2), divide(inverse(Y0), Y2))) -> Y1
% 65.90/66.00 divide(Y0, divide(divide(inverse(Y1), Y2), inverse(divide(Y2, inverse(Y0))))) -> Y1
% 65.90/66.00 divide(Y0, divide(inverse(Y1), inverse(Y0))) -> Y1
% 65.90/66.00 divide(Y0, divide(inverse(Y2), divide(inverse(Y0), Y2))) -> divide(Y0, Y0)
% 65.90/66.00 divide(Y0, divide(inverse(divide(Y1, Y2)), inverse(divide(Y1, inverse(Y0))))) -> inverse(Y2)
% 65.90/66.00 divide(Y0, divide(inverse(divide(Y1, inverse(Y2))), inverse(divide(Y1, inverse(Y0))))) -> Y2
% 65.90/66.00 divide(Y0, divide(inverse(divide(Y2, Y1)), divide(inverse(Y0), Y2))) -> inverse(Y1)
% 65.90/66.00 divide(Y0, divide(inverse(divide(Y2, inverse(Y1))), divide(inverse(Y0), Y2))) -> Y1
% 65.90/66.00 divide(Y0, divide(inverse(inverse(divide(X0, X0))), Y2)) -> divide(Y0, inverse(Y2))
% 65.90/66.00 divide(Y0, inverse(divide(X1, inverse(inverse(X1))))) -> Y0
% 65.90/66.00 divide(Y0, inverse(divide(divide(inverse(Y0), Y1), inverse(divide(Y1, Y2))))) -> inverse(Y2)
% 65.90/66.00 divide(Y0, inverse(divide(divide(inverse(Y0), Y1), inverse(divide(Y1, inverse(Y2)))))) -> Y2
% 65.90/66.00 divide(Y0, inverse(divide(divide(inverse(Y0), Y2), divide(Y1, Y2)))) -> inverse(Y1)
% 65.90/66.00 divide(Y0, inverse(divide(divide(inverse(Y0), Y2), divide(inverse(Y1), Y2)))) -> Y1
% 65.90/66.00 divide(Y0, inverse(divide(inverse(Y0), X0))) -> inverse(inverse(inverse(X0)))
% 65.90/66.00 divide(Y0, inverse(divide(inverse(Y0), inverse(Y1)))) -> Y1
% 65.90/66.00 divide(Y0, inverse(divide(inverse(divide(Y1, inverse(Y0))), divide(Y2, Y1)))) -> inverse(Y2)
% 65.90/66.00 divide(Y0, inverse(divide(inverse(divide(Y1, inverse(Y0))), divide(inverse(Y2), Y1)))) -> Y2
% 65.90/66.00 divide(Y0, inverse(inverse(divide(X0, X0)))) -> Y0
% 65.90/66.00 divide(Y0, inverse(inverse(divide(X1, inverse(inverse(X1)))))) -> Y0
% 65.90/66.00 divide(Y0, inverse(inverse(inverse(divide(X0, X0))))) -> Y0
% 65.90/66.00 divide(Y0, inverse(inverse(inverse(divide(X1, inverse(inverse(X1))))))) -> Y0
% 65.90/66.00 divide(Y1, divide(false__, false__)) -> Y1
% 65.90/66.00 divide(Y1, inverse(divide(X1, X1))) -> Y1
% 65.90/66.00 divide(divide(B, B), A) -> inverse(A)
% 65.90/66.00 divide(divide(X0, X1), divide(divide(Y1, Y2), divide(divide(X1, X0), Y2))) -> inverse(Y1)
% 65.90/66.00 divide(divide(X0, X1), divide(divide(inverse(Y1), Y2), divide(divide(X1, X0), Y2))) -> Y1
% 65.90/66.00 divide(divide(X0, X1), inverse(divide(X1, X0))) -> divide(false__, false__)
% 65.90/66.00 divide(divide(X0, X1), inverse(divide(divide(divide(X1, X0), Y1), divide(inverse(Y2), Y1)))) -> Y2
% 65.90/66.00 divide(divide(X0, Y1), divide(divide(inverse(Y2), inverse(X0)), Y1)) -> Y2
% 65.90/66.00 divide(divide(X1, inverse(inverse(X1))), Y1) -> inverse(Y1)
% 65.90/66.00 divide(divide(X2, X1), divide(X0, X1)) -> divide(X2, X0)
% 65.90/66.00 divide(divide(Y0, X0), inverse(X0)) -> Y0
% 65.90/66.00 divide(divide(Y0, Y1), divide(divide(X0, inverse(Y0)), Y1)) -> inverse(X0)
% 65.90/66.00 divide(divide(Y0, Y1), divide(divide(divide(X1, X0), inverse(Y0)), Y1)) -> divide(X0, X1)
% 65.90/66.00 divide(divide(Y0, Y1), divide(inverse(divide(inverse(Y0), Y2)), Y1)) -> inverse(Y2)
% 65.90/66.00 divide(divide(Y0, Y1), divide(inverse(divide(inverse(Y0), inverse(Y2))), Y1)) -> Y2
% 65.90/66.00 divide(divide(Y0, Y1), inverse(divide(Y1, Y2))) -> divide(Y0, Y2)
% 65.90/66.00 divide(divide(Y0, Y1), inverse(divide(Y1, divide(Y2, inverse(Y0))))) -> inverse(Y2)
% 65.90/66.00 divide(divide(Y0, Y1), inverse(divide(Y1, divide(inverse(Y2), inverse(Y0))))) -> Y2
% 65.90/66.00 divide(divide(Y0, Y2), Y1) -> divide(Y0, inverse(divide(inverse(Y2), Y1)))
% 65.90/66.00 divide(divide(Y0, inverse(X0)), divide(divide(X0, X1), inverse(X1))) -> Y0
% 65.90/66.00 divide(divide(Y0, inverse(Y2)), Y1) -> divide(Y0, inverse(divide(Y2, Y1)))
% 65.90/66.00 divide(divide(Y1, inverse(X1)), X1) -> Y1
% 65.90/66.00 divide(divide(divide(X1, X0), Y1), divide(divide(Y2, divide(X0, X1)), Y1)) -> inverse(Y2)
% 65.90/66.00 divide(divide(divide(X1, X0), Y1), divide(divide(inverse(Y2), divide(X0, X1)), Y1)) -> Y2
% 65.90/66.00 divide(divide(inverse(Y0), Y1), divide(divide(X0, Y0), Y1)) -> inverse(X0)
% 65.90/66.00 divide(divide(inverse(Y0), Y1), divide(divide(divide(X1, X0), Y0), Y1)) -> divide(X0, X1)
% 65.90/66.00 divide(divide(inverse(Y0), Y1), divide(inverse(divide(Y0, Y2)), Y1)) -> inverse(Y2)
% 65.90/66.00 divide(divide(inverse(Y0), Y1), divide(inverse(divide(Y0, inverse(Y2))), Y1)) -> Y2
% 65.90/66.00 divide(divide(inverse(Y0), Y1), inverse(divide(Y1, divide(Y2, Y0)))) -> inverse(Y2)
% 65.90/66.00 divide(divide(inverse(Y0), Y1), inverse(divide(Y1, divide(inverse(Y2), Y0)))) -> Y2
% 65.90/66.00 divide(divide(inverse(Y1), Y0), divide(divide(inverse(Y2), Y1), Y0)) -> Y2
% 65.90/66.00 divide(inverse(X0), divide(Y1, X0)) -> inverse(Y1)
% 65.90/66.00 divide(inverse(X0), divide(Y1, divide(X0, Y2))) -> inverse(divide(Y1, inverse(Y2)))
% 65.90/66.00 divide(inverse(X0), divide(divide(Y1, Y2), divide(X0, Y2))) -> inverse(Y1)
% 65.90/66.00 divide(inverse(X0), divide(divide(Y1, Y2), inverse(divide(Y2, X0)))) -> inverse(Y1)
% 65.90/66.00 divide(inverse(X0), divide(divide(inverse(Y1), Y2), divide(X0, Y2))) -> Y1
% 65.90/66.00 divide(inverse(X0), divide(divide(inverse(Y1), Y2), inverse(divide(Y2, X0)))) -> Y1
% 65.90/66.00 divide(inverse(X0), divide(inverse(Y1), X0)) -> Y1
% 65.90/66.00 divide(inverse(X0), divide(inverse(Y1), divide(X0, Y1))) -> divide(false__, false__)
% 65.90/66.00 divide(inverse(X0), divide(inverse(divide(Y1, Y2)), divide(X0, Y1))) -> inverse(Y2)
% 65.90/66.00 divide(inverse(X0), divide(inverse(divide(Y1, inverse(Y2))), divide(X0, Y1))) -> Y2
% 65.90/66.00 divide(inverse(X0), inverse(divide(X0, inverse(Y1)))) -> Y1
% 65.90/66.00 divide(inverse(X0), inverse(divide(divide(X0, Y1), divide(Y2, Y1)))) -> inverse(Y2)
% 65.90/66.00 divide(inverse(X0), inverse(divide(divide(X0, Y1), divide(inverse(Y2), Y1)))) -> Y2
% 65.90/66.00 divide(inverse(Y0), divide(X0, divide(Y0, inverse(X1)))) -> inverse(divide(X0, X1))
% 65.90/66.00 divide(inverse(Y0), divide(divide(X1, X0), divide(Y0, divide(X0, X1)))) -> divide(false__, false__)
% 65.90/66.00 divide(inverse(Y0), divide(inverse(divide(Y1, Y2)), inverse(divide(Y1, Y0)))) -> inverse(Y2)
% 65.90/66.00 divide(inverse(Y0), divide(inverse(divide(Y1, inverse(Y2))), inverse(divide(Y1, Y0)))) -> Y2
% 65.90/66.00 divide(inverse(Y0), inverse(divide(Y0, X0))) -> inverse(inverse(inverse(X0)))
% 65.90/66.00 divide(inverse(Y0), inverse(divide(divide(Y0, Y1), inverse(divide(Y1, Y2))))) -> inverse(Y2)
% 65.90/66.00 divide(inverse(Y0), inverse(divide(divide(Y0, Y1), inverse(divide(Y1, inverse(Y2)))))) -> Y2
% 65.90/66.00 divide(inverse(Y0), inverse(divide(inverse(divide(Y1, Y0)), divide(Y2, Y1)))) -> inverse(Y2)
% 65.90/66.00 divide(inverse(Y0), inverse(divide(inverse(divide(Y1, Y0)), divide(inverse(Y2), Y1)))) -> Y2
% 65.90/66.00 divide(inverse(divide(X0, X0)), Y1) -> inverse(Y1)
% 65.90/66.00 divide(inverse(divide(X0, X1)), divide(divide(inverse(Y1), inverse(X1)), X0)) -> Y1
% 65.90/66.00 divide(inverse(divide(X0, inverse(Y2))), divide(divide(inverse(Y1), Y2), X0)) -> Y1
% 65.90/66.00 divide(inverse(divide(X1, X0)), Y1) -> divide(X0, inverse(divide(inverse(X1), Y1)))
% 65.90/66.00 divide(inverse(divide(X1, X0)), inverse(Y1)) -> divide(X0, inverse(divide(inverse(X1), inverse(Y1))))
% 65.90/66.00 divide(inverse(divide(X1, Y1)), inverse(X1)) -> Y1
% 65.90/66.00 divide(inverse(divide(X1, inverse(inverse(X1)))), Y1) -> inverse(Y1)
% 65.90/66.00 divide(inverse(divide(X2, X0)), inverse(divide(X2, X1))) -> divide(X0, X1)
% 65.90/66.00 divide(inverse(divide(Y0, Y1)), divide(divide(X0, inverse(Y1)), Y0)) -> inverse(X0)
% 65.90/66.00 divide(inverse(divide(Y0, inverse(Y1))), divide(divide(X0, Y1), Y0)) -> inverse(X0)
% 65.90/66.00 divide(inverse(divide(Y0, inverse(Y1))), divide(inverse(divide(Y1, inverse(Y2))), Y0)) -> Y2
% 65.90/66.00 divide(inverse(divide(Y0, inverse(Y1))), inverse(divide(Y0, divide(inverse(Y2), Y1)))) -> Y2
% 65.90/66.00 divide(inverse(divide(Y1, Y0)), divide(Y2, Y1)) -> divide(Y0, Y2)
% 65.90/66.00 divide(inverse(divide(inverse(X1), Y1)), X1) -> Y1
% 65.90/66.00 divide(inverse(inverse(Y0)), X0) -> divide(Y0, X0)
% 65.90/66.00 divide(inverse(inverse(Y0)), inverse(X1)) -> divide(Y0, inverse(X1))
% 65.90/66.00 divide(inverse(inverse(divide(X0, X0))), Y1) -> inverse(Y1)
% 65.90/66.00 divide(inverse(inverse(divide(X1, inverse(inverse(X1))))), Y1) -> inverse(Y1)
% 65.90/66.00 divide(inverse(inverse(inverse(X0))), inverse(divide(X0, inverse(Y1)))) -> Y1
% 65.90/66.00 divide(inverse(inverse(inverse(divide(X0, X0)))), Y1) -> inverse(Y1)
% 65.90/66.00 f1(divide(a3, inverse(divide(b3, inverse(c3))))) -> false__
% 65.90/66.00 f1(divide(divide(a3, inverse(b3)), inverse(c3))) -> true__
% 65.90/66.00 f1(multiply(a3, multiply(b3, c3))) -> false__
% 65.90/66.00 f1(multiply(multiply(a3, b3), c3)) -> true__
% 65.90/66.00 inverse(divide(X0, inverse(divide(inverse(X1), inverse(divide(divide(X1, X0), Y1)))))) -> Y1
% 65.90/66.00 inverse(divide(divide(X0, X1), inverse(divide(X1, X0)))) -> divide(false__, false__)
% 65.90/66.00 inverse(divide(divide(X0, Y1), inverse(Y1))) -> inverse(X0)
% 65.90/66.00 inverse(divide(divide(Y2, Y1), divide(Y0, Y1))) -> inverse(divide(Y2, Y0))
% 65.90/66.00 inverse(divide(divide(divide(inverse(Y2), Y1), Y0), inverse(divide(Y0, inverse(Y1))))) -> Y2
% 65.90/66.00 inverse(divide(divide(inverse(Y0), Y1), divide(inverse(inverse(divide(X0, X0))), Y1))) -> Y0
% 65.90/66.00 inverse(divide(divide(inverse(Y1), Y2), divide(inverse(divide(X0, X0)), Y2))) -> Y1
% 65.90/66.00 inverse(inverse(Y0)) -> Y0
% 65.90/66.00 inverse(inverse(divide(inverse(inverse(divide(X0, X0))), inverse(Y1)))) -> Y1
% 65.90/66.00 inverse(inverse(inverse(inverse(Y1)))) -> Y1
% 65.90/66.00 true__ -> false__
% 65.90/66.00 with the LPO induced by
% 65.90/66.00 c3 > b3 > a3 > f1 > multiply > divide > inverse > true__ > false__
% 65.90/66.00
% 65.90/66.00 % SZS output end Proof
% 65.90/66.00
%------------------------------------------------------------------------------