TSTP Solution File: GRP462-1 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n005.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 10:55:37 EDT 2022
% Result : Unsatisfiable 228.13s 227.98s
% Output : Proof 228.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : moca.sh %s
% 0.13/0.34 % Computer : n005.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 : Mon Jun 13 19:47:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 228.13/227.98 % SZS status Unsatisfiable
% 228.13/227.98 % SZS output start Proof
% 228.13/227.98 The input problem is unsatisfiable because
% 228.13/227.98
% 228.13/227.98 [1] the following set of Horn clauses is unsatisfiable:
% 228.13/227.98
% 228.13/227.98 divide(A, divide(divide(divide(identity, B), C), divide(divide(divide(A, A), A), C))) = B
% 228.13/227.98 multiply(A, B) = divide(A, divide(identity, B))
% 228.13/227.98 inverse(A) = divide(identity, A)
% 228.13/227.98 identity = divide(A, A)
% 228.13/227.98 multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)) ==> \bottom
% 228.13/227.98
% 228.13/227.98 This holds because
% 228.13/227.98
% 228.13/227.98 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 228.13/227.98
% 228.13/227.98 E:
% 228.13/227.98 divide(A, divide(divide(divide(identity, B), C), divide(divide(divide(A, A), A), C))) = B
% 228.13/227.98 f1(multiply(a3, multiply(b3, c3))) = false__
% 228.13/227.98 f1(multiply(multiply(a3, b3), c3)) = true__
% 228.13/227.98 identity = divide(A, A)
% 228.13/227.98 inverse(A) = divide(identity, A)
% 228.13/227.98 multiply(A, B) = divide(A, divide(identity, B))
% 228.13/227.98 G:
% 228.13/227.98 true__ = false__
% 228.13/227.98
% 228.13/227.98 This holds because
% 228.13/227.98
% 228.13/227.98 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 228.13/227.98
% 228.13/227.98 divide(X0, divide(Y2, inverse(X1))) = divide(divide(X0, X1), Y2)
% 228.13/227.98 divide(X0, divide(Y2, inverse(X1))) = inverse(divide(Y2, divide(X0, X1)))
% 228.13/227.98 divide(X1, divide(Y2, Y1)) = inverse(divide(Y2, inverse(divide(inverse(Y1), X1))))
% 228.13/227.98 divide(X1, divide(Y2, inverse(X0))) = inverse(divide(Y2, inverse(divide(X0, X1))))
% 228.13/227.98 divide(Y0, X0) = inverse(divide(X0, Y0))
% 228.13/227.98 divide(Y0, divide(Y1, divide(X1, X0))) = divide(Y0, inverse(divide(inverse(divide(X0, X1)), Y1)))
% 228.13/227.98 divide(Y0, divide(Y1, divide(X1, X0))) = divide(divide(Y0, divide(X0, X1)), Y1)
% 228.13/227.98 divide(Y0, inverse(divide(divide(inverse(Y0), inverse(X1)), X0))) = inverse(divide(X0, X1))
% 228.13/227.98 divide(divide(Y0, Y1), divide(X0, Y1)) = inverse(divide(X0, Y0))
% 228.13/227.98 divide(divide(Y0, Y1), inverse(divide(Y1, Y2))) = inverse(divide(Y2, Y0))
% 228.13/227.98 divide(divide(Y0, inverse(X0)), X1) = inverse(divide(inverse(divide(X0, X1)), Y0))
% 228.13/227.98 divide(divide(Y0, inverse(X1)), X0) = divide(Y0, divide(X0, X1))
% 228.13/227.98 divide(divide(Y0, inverse(X1)), X0) = inverse(divide(divide(X0, X1), Y0))
% 228.13/227.98 divide(inverse(divide(Y1, Y0)), Y2) = divide(Y0, divide(Y2, inverse(Y1)))
% 228.13/227.98 divide(inverse(divide(Y1, Y0)), divide(Y2, Y1)) = inverse(divide(Y2, Y0))
% 228.13/227.98 divide(inverse(divide(inverse(Y1), Y0)), Y2) = divide(Y0, divide(Y2, Y1))
% 228.13/227.98 inverse(divide(X0, divide(Y2, inverse(X1)))) = divide(Y2, divide(X0, X1))
% 228.13/227.98 inverse(divide(X1, divide(Y2, inverse(X0)))) = divide(Y2, inverse(divide(X0, X1)))
% 228.13/227.98 inverse(divide(Y0, inverse(divide(inverse(X2), X1)))) = divide(X1, inverse(divide(X2, Y0)))
% 228.13/227.98 inverse(divide(Y1, inverse(divide(Y2, Y0)))) = divide(Y0, inverse(divide(inverse(Y2), Y1)))
% 228.13/227.98 inverse(divide(divide(X1, X2), divide(X0, X2))) = divide(X0, X1)
% 228.13/227.98 inverse(divide(divide(Y0, Y1), inverse(divide(Y1, Y2)))) = divide(Y2, Y0)
% 228.13/227.98 inverse(divide(divide(Y0, inverse(X1)), X0)) = divide(divide(X0, X1), Y0)
% 228.13/227.98 inverse(divide(inverse(divide(Y1, Y0)), divide(Y2, Y1))) = divide(Y2, Y0)
% 228.13/227.98 divide(A, A) -> identity
% 228.13/227.98 divide(A, divide(divide(divide(identity, B), C), divide(divide(divide(A, A), A), C))) -> B
% 228.13/227.98 divide(X0, divide(divide(X0, inverse(X1)), X1)) -> identity
% 228.13/227.98 divide(X0, inverse(divide(Y1, divide(Y2, inverse(divide(X0, inverse(Y1))))))) -> inverse(Y2)
% 228.13/227.98 divide(X0, inverse(divide(Y1, divide(inverse(Y2), inverse(divide(X0, inverse(Y1))))))) -> Y2
% 228.13/227.98 divide(X0, inverse(divide(inverse(X1), divide(Y2, inverse(divide(X0, X1)))))) -> inverse(Y2)
% 228.13/227.98 divide(X0, inverse(divide(inverse(X1), divide(inverse(Y2), inverse(divide(X0, X1)))))) -> Y2
% 228.13/227.98 divide(X2, inverse(divide(divide(inverse(X2), X0), X1))) -> divide(inverse(X0), X1)
% 228.13/227.98 divide(X2, inverse(divide(divide(inverse(X2), inverse(X0)), X1))) -> divide(X0, X1)
% 228.13/227.98 divide(Y0, divide(X0, divide(inverse(Y0), Y2))) -> inverse(divide(X0, inverse(Y2)))
% 228.13/227.98 divide(Y0, divide(X0, divide(inverse(Y0), inverse(X0)))) -> identity
% 228.13/227.98 divide(Y0, divide(X0, divide(inverse(Y0), inverse(X1)))) -> inverse(divide(X0, X1))
% 228.13/227.98 divide(Y0, divide(X0, inverse(Y0))) -> inverse(X0)
% 228.13/227.98 divide(Y0, divide(divide(X0, Y2), divide(inverse(Y0), Y2))) -> inverse(X0)
% 228.13/227.98 divide(Y0, divide(divide(X0, Y2), inverse(divide(Y2, inverse(Y0))))) -> inverse(X0)
% 228.13/227.98 divide(Y0, divide(divide(divide(X1, X0), Y2), divide(inverse(Y0), Y2))) -> divide(X0, X1)
% 228.13/227.98 divide(Y0, divide(divide(inverse(Y1), Y2), divide(inverse(Y0), Y2))) -> Y1
% 228.13/227.98 divide(Y0, divide(divide(inverse(Y1), Y2), inverse(divide(Y2, inverse(Y0))))) -> Y1
% 228.13/227.98 divide(Y0, divide(divide(inverse(Y1), inverse(Y0)), identity)) -> Y1
% 228.13/227.98 divide(Y0, divide(inverse(Y1), inverse(Y0))) -> Y1
% 228.13/227.98 divide(Y0, divide(inverse(Y2), divide(inverse(Y0), Y2))) -> identity
% 228.13/227.98 divide(Y0, divide(inverse(divide(Y1, X0)), divide(inverse(Y0), Y1))) -> inverse(X0)
% 228.13/227.98 divide(Y0, divide(inverse(divide(Y1, Y2)), inverse(divide(Y1, inverse(Y0))))) -> inverse(Y2)
% 228.13/227.98 divide(Y0, divide(inverse(divide(Y1, inverse(Y2))), inverse(divide(Y1, inverse(Y0))))) -> Y2
% 228.13/227.98 divide(Y0, divide(inverse(divide(Y2, inverse(Y1))), divide(inverse(Y0), Y2))) -> Y1
% 228.13/227.98 divide(Y0, divide(inverse(inverse(Y0)), identity)) -> identity
% 228.13/227.98 divide(Y0, inverse(divide(divide(inverse(Y0), Y1), divide(X0, Y1)))) -> inverse(X0)
% 228.13/227.98 divide(Y0, inverse(divide(divide(inverse(Y0), Y1), inverse(divide(Y1, Y2))))) -> inverse(Y2)
% 228.13/227.98 divide(Y0, inverse(divide(divide(inverse(Y0), Y1), inverse(divide(Y1, inverse(Y2)))))) -> Y2
% 228.13/227.98 divide(Y0, inverse(divide(divide(inverse(Y0), Y2), divide(inverse(Y1), Y2)))) -> Y1
% 228.13/227.98 divide(Y0, inverse(divide(inverse(Y0), X0))) -> inverse(inverse(inverse(X0)))
% 228.13/227.98 divide(Y0, inverse(divide(inverse(Y0), identity))) -> identity
% 228.13/227.98 divide(Y0, inverse(divide(inverse(Y0), inverse(Y1)))) -> Y1
% 228.13/227.98 divide(Y0, inverse(divide(inverse(divide(Y1, inverse(Y0))), divide(Y2, Y1)))) -> inverse(Y2)
% 228.13/227.98 divide(Y0, inverse(divide(inverse(divide(Y1, inverse(Y0))), divide(inverse(Y2), Y1)))) -> Y2
% 228.13/227.98 divide(Y0, inverse(inverse(Y0))) -> identity
% 228.13/227.98 divide(Y1, identity) -> Y1
% 228.13/227.98 divide(divide(X0, X1), divide(divide(Y1, Y2), divide(divide(X1, X0), Y2))) -> inverse(Y1)
% 228.13/227.98 divide(divide(X0, X1), divide(divide(Y1, Y2), inverse(divide(Y2, divide(X1, X0))))) -> inverse(Y1)
% 228.13/227.98 divide(divide(X0, X1), divide(divide(inverse(Y1), Y2), divide(divide(X1, X0), Y2))) -> Y1
% 228.13/227.98 divide(divide(X0, X1), divide(divide(inverse(Y1), inverse(X0)), X1)) -> Y1
% 228.13/227.98 divide(divide(X0, X1), divide(inverse(divide(Y1, Y2)), divide(divide(X1, X0), Y1))) -> inverse(Y2)
% 228.13/227.98 divide(divide(X0, X1), divide(inverse(divide(Y1, inverse(Y2))), divide(divide(X1, X0), Y1))) -> Y2
% 228.13/227.98 divide(divide(X0, X1), inverse(divide(divide(X1, X2), divide(X0, X2)))) -> identity
% 228.13/227.98 divide(divide(X0, X1), inverse(divide(divide(divide(X1, X0), Y1), divide(Y2, Y1)))) -> inverse(Y2)
% 228.13/227.98 divide(divide(X0, X1), inverse(divide(divide(divide(X1, X0), Y1), divide(inverse(Y2), Y1)))) -> Y2
% 228.13/227.98 divide(divide(X0, Y1), inverse(Y1)) -> X0
% 228.13/227.98 divide(divide(X1, inverse(Y1)), inverse(divide(inverse(Y1), X1))) -> identity
% 228.13/227.98 divide(divide(Y0, Y1), divide(divide(X0, inverse(Y0)), Y1)) -> inverse(X0)
% 228.13/227.98 divide(divide(Y0, Y1), divide(divide(divide(X1, X0), inverse(Y0)), Y1)) -> divide(X0, X1)
% 228.13/227.98 divide(divide(Y0, Y1), divide(inverse(divide(inverse(Y0), Y2)), Y1)) -> inverse(Y2)
% 228.13/227.98 divide(divide(Y0, Y1), divide(inverse(divide(inverse(Y0), inverse(Y2))), Y1)) -> Y2
% 228.13/227.98 divide(divide(Y0, Y1), inverse(divide(Y1, Y2))) -> divide(Y0, Y2)
% 228.13/227.98 divide(divide(Y0, Y1), inverse(divide(Y1, divide(Y2, inverse(Y0))))) -> inverse(Y2)
% 228.13/227.98 divide(divide(Y0, Y1), inverse(divide(Y1, divide(inverse(Y2), inverse(Y0))))) -> Y2
% 228.13/227.98 divide(divide(Y0, Y2), Y1) -> divide(Y0, inverse(divide(inverse(Y2), Y1)))
% 228.13/227.98 divide(divide(Y0, divide(X1, X0)), inverse(divide(inverse(divide(X0, X1)), Y0))) -> identity
% 228.13/227.98 divide(divide(Y0, inverse(X0)), X0) -> Y0
% 228.13/227.98 divide(divide(Y0, inverse(Y2)), Y1) -> divide(Y0, inverse(divide(Y2, Y1)))
% 228.13/227.98 divide(divide(Y0, inverse(divide(X0, X1))), inverse(divide(divide(X1, X0), Y0))) -> identity
% 228.13/227.98 divide(divide(Y1, Y2), divide(Y0, Y2)) -> divide(Y1, Y0)
% 228.13/227.98 divide(divide(Y1, false__), inverse(divide(false__, inverse(divide(inverse(Y1), Y0))))) -> inverse(Y0)
% 228.13/227.98 divide(divide(Y1, false__), inverse(divide(false__, inverse(divide(inverse(Y1), inverse(Y0)))))) -> Y0
% 228.13/227.98 divide(divide(divide(X0, X1), Y1), divide(divide(Y2, divide(X1, X0)), Y1)) -> inverse(Y2)
% 228.13/227.98 divide(divide(divide(X0, X1), Y1), divide(divide(inverse(Y2), divide(X1, X0)), Y1)) -> Y2
% 228.13/227.98 divide(divide(divide(X0, inverse(X1)), X1), X0) -> identity
% 228.13/227.98 divide(divide(divide(X1, X0), Y1), inverse(divide(Y1, inverse(divide(X0, X1))))) -> identity
% 228.13/227.98 divide(divide(divide(inverse(X0), X1), inverse(X1)), inverse(X0)) -> identity
% 228.13/227.98 divide(divide(divide(inverse(X0), inverse(X1)), X1), inverse(X0)) -> identity
% 228.13/227.98 divide(divide(inverse(X0), X1), inverse(X1)) -> inverse(X0)
% 228.13/227.98 divide(divide(inverse(X0), Y1), divide(divide(Y2, X0), Y1)) -> inverse(Y2)
% 228.13/227.98 divide(divide(inverse(X0), Y1), divide(divide(inverse(Y2), X0), Y1)) -> Y2
% 228.13/227.98 divide(divide(inverse(X0), inverse(X1)), X1) -> inverse(X0)
% 228.13/227.98 divide(divide(inverse(X1), X0), inverse(divide(X0, inverse(X1)))) -> identity
% 228.13/227.98 divide(divide(inverse(X1), X2), divide(inverse(Y0), X2)) -> divide(inverse(X1), inverse(Y0))
% 228.13/227.98 divide(divide(inverse(Y0), Y1), divide(divide(divide(X1, X0), Y0), Y1)) -> divide(X0, X1)
% 228.13/227.98 divide(divide(inverse(Y0), Y1), inverse(divide(Y1, divide(Y2, Y0)))) -> inverse(Y2)
% 228.13/227.98 divide(divide(inverse(Y0), Y1), inverse(divide(Y1, divide(inverse(Y2), Y0)))) -> Y2
% 228.13/227.98 divide(divide(inverse(divide(X0, X1)), Y1), inverse(divide(Y1, divide(X1, X0)))) -> identity
% 228.13/227.98 divide(identity, A) -> inverse(A)
% 228.13/227.98 divide(inverse(X0), divide(Y1, X0)) -> inverse(Y1)
% 228.13/227.98 divide(inverse(X0), divide(divide(Y1, Y2), divide(X0, Y2))) -> inverse(Y1)
% 228.13/227.98 divide(inverse(X0), divide(divide(inverse(X0), inverse(X1)), X1)) -> identity
% 228.13/227.98 divide(inverse(X0), divide(divide(inverse(Y1), Y2), divide(X0, Y2))) -> Y1
% 228.13/227.98 divide(inverse(X0), divide(divide(inverse(Y1), Y2), inverse(divide(Y2, X0)))) -> Y1
% 228.13/227.98 divide(inverse(X0), divide(inverse(Y1), X0)) -> Y1
% 228.13/227.98 divide(inverse(X0), divide(inverse(Y1), divide(X0, Y1))) -> identity
% 228.13/227.98 divide(inverse(X0), divide(inverse(divide(Y1, inverse(Y2))), divide(X0, Y1))) -> Y2
% 228.13/227.98 divide(inverse(X0), inverse(divide(X0, inverse(Y1)))) -> Y1
% 228.13/227.98 divide(inverse(X0), inverse(divide(divide(X0, Y1), divide(inverse(Y2), Y1)))) -> Y2
% 228.13/227.98 divide(inverse(X2), inverse(divide(divide(X2, inverse(X0)), X1))) -> divide(X0, X1)
% 228.13/227.98 divide(inverse(Y0), divide(X0, divide(Y0, Y2))) -> inverse(divide(X0, inverse(Y2)))
% 228.13/227.98 divide(inverse(Y0), divide(X0, divide(Y0, inverse(X1)))) -> inverse(divide(X0, X1))
% 228.13/227.98 divide(inverse(Y0), divide(divide(Y1, Y2), inverse(divide(Y2, Y0)))) -> inverse(Y1)
% 228.13/227.98 divide(inverse(Y0), divide(inverse(divide(Y1, inverse(Y2))), inverse(divide(Y1, Y0)))) -> Y2
% 228.13/227.98 divide(inverse(Y0), divide(inverse(divide(Y2, Y1)), divide(Y0, Y2))) -> inverse(Y1)
% 228.13/227.98 divide(inverse(Y0), inverse(divide(Y0, X0))) -> inverse(X0)
% 228.13/227.98 divide(inverse(Y0), inverse(divide(divide(Y0, Y1), divide(X0, Y1)))) -> inverse(X0)
% 228.13/227.98 divide(inverse(Y0), inverse(divide(divide(Y0, Y1), inverse(divide(Y1, inverse(Y2)))))) -> Y2
% 228.13/227.98 divide(inverse(Y0), inverse(divide(inverse(divide(Y1, Y0)), divide(Y2, Y1)))) -> inverse(Y2)
% 228.13/227.98 divide(inverse(Y0), inverse(divide(inverse(divide(Y1, Y0)), divide(inverse(Y2), Y1)))) -> Y2
% 228.13/227.98 divide(inverse(divide(X0, X1)), divide(divide(Y1, inverse(X1)), X0)) -> inverse(Y1)
% 228.13/227.98 divide(inverse(divide(X0, X1)), divide(divide(inverse(Y1), inverse(X1)), X0)) -> Y1
% 228.13/227.98 divide(inverse(divide(X0, X1)), inverse(divide(X0, divide(inverse(Y2), inverse(X1))))) -> Y2
% 228.13/227.98 divide(inverse(divide(X0, Y1)), inverse(X0)) -> Y1
% 228.13/227.98 divide(inverse(divide(X0, inverse(Y1))), divide(inverse(Y1), X0)) -> identity
% 228.13/227.98 divide(inverse(divide(X0, inverse(Y1))), inverse(divide(X0, divide(inverse(Y2), Y1)))) -> Y2
% 228.13/227.98 divide(inverse(divide(X0, inverse(Y2))), divide(divide(Y1, Y2), X0)) -> inverse(Y1)
% 228.13/227.98 divide(inverse(divide(X0, inverse(Y2))), divide(divide(inverse(Y1), Y2), X0)) -> Y1
% 228.13/227.98 divide(inverse(divide(X1, X0)), inverse(Y1)) -> divide(X0, inverse(divide(inverse(X1), inverse(Y1))))
% 228.13/227.98 divide(inverse(divide(X2, X0)), inverse(divide(X2, X1))) -> divide(X0, X1)
% 228.13/227.98 divide(inverse(divide(Y0, divide(X1, X0))), divide(inverse(divide(X0, X1)), Y0)) -> identity
% 228.13/227.98 divide(inverse(divide(Y0, inverse(divide(X0, X1)))), divide(divide(X1, X0), Y0)) -> identity
% 228.13/227.98 divide(inverse(divide(Y1, Y0)), divide(Y2, Y1)) -> divide(Y0, Y2)
% 228.13/227.98 divide(inverse(divide(divide(X1, X0), Y1)), divide(Y1, inverse(divide(X0, X1)))) -> identity
% 228.13/227.98 divide(inverse(divide(divide(X1, X2), divide(X0, X2))), divide(X0, X1)) -> identity
% 228.13/227.98 divide(inverse(divide(inverse(X1), X0)), divide(X0, inverse(X1))) -> identity
% 228.13/227.98 divide(inverse(divide(inverse(X1), Y1)), X1) -> Y1
% 228.13/227.98 divide(inverse(divide(inverse(divide(X0, X1)), Y1)), divide(Y1, divide(X1, X0))) -> identity
% 228.13/227.98 divide(inverse(inverse(X0)), X0) -> identity
% 228.13/227.98 divide(inverse(inverse(Y0)), inverse(X1)) -> divide(Y0, inverse(X1))
% 228.13/227.98 f1(divide(a3, inverse(divide(b3, inverse(c3))))) -> false__
% 228.13/227.98 f1(divide(divide(a3, inverse(b3)), inverse(c3))) -> true__
% 228.13/227.98 f1(multiply(a3, multiply(b3, c3))) -> false__
% 228.13/227.98 f1(multiply(multiply(a3, b3), c3)) -> true__
% 228.13/227.98 inverse(divide(divide(X0, Y1), inverse(Y1))) -> inverse(inverse(inverse(X0)))
% 228.13/227.98 inverse(divide(divide(X0, inverse(Y1)), Y1)) -> inverse(X0)
% 228.13/227.98 inverse(divide(divide(Y2, Y1), divide(Y0, Y1))) -> inverse(divide(Y2, Y0))
% 228.13/227.98 inverse(divide(divide(divide(X1, X0), Y1), inverse(divide(Y1, inverse(divide(X0, X1)))))) -> identity
% 228.13/227.98 inverse(divide(divide(inverse(Y0), divide(X0, X1)), divide(X1, X0))) -> Y0
% 228.13/227.98 inverse(divide(divide(inverse(Y0), identity), identity)) -> Y0
% 228.13/227.98 inverse(divide(divide(inverse(Y0), inverse(X0)), X0)) -> Y0
% 228.13/227.98 inverse(divide(divide(inverse(Y1), Y0), inverse(divide(Y0, inverse(Y1))))) -> identity
% 228.13/227.98 inverse(divide(divide(inverse(Y1), Y2), inverse(Y2))) -> Y1
% 228.13/227.98 inverse(divide(inverse(divide(divide(X1, X0), Y1)), divide(Y1, inverse(divide(X0, X1))))) -> identity
% 228.13/227.98 inverse(divide(inverse(divide(inverse(Y1), Y0)), divide(Y0, inverse(Y1)))) -> identity
% 228.13/227.98 inverse(divide(inverse(divide(inverse(divide(X0, X1)), Y1)), divide(Y1, divide(X1, X0)))) -> identity
% 228.13/227.98 inverse(identity) -> identity
% 228.13/227.98 inverse(inverse(Y0)) -> Y0
% 228.13/227.98 inverse(inverse(inverse(X0))) -> inverse(X0)
% 228.13/227.98 inverse(inverse(inverse(inverse(Y1)))) -> Y1
% 228.13/227.98 multiply(A, B) -> divide(A, divide(identity, B))
% 228.13/227.98 true__ -> false__
% 228.13/227.98 with the LPO induced by
% 228.13/227.98 c3 > b3 > a3 > f1 > multiply > divide > identity > inverse > true__ > false__
% 228.13/227.98
% 228.13/227.98 % SZS output end Proof
% 228.13/227.98
%------------------------------------------------------------------------------