TSTP Solution File: GRP463-1 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : GRP463-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n006.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 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP463-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : moca.sh %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 03:19:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.38 % SZS status Unsatisfiable
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 The input problem is unsatisfiable because
% 0.19/0.38
% 0.19/0.38 [1] the following set of Horn clauses is unsatisfiable:
% 0.19/0.38
% 0.19/0.38 divide(A, divide(divide(divide(divide(A, A), B), C), divide(divide(identity, A), C))) = B
% 0.19/0.38 multiply(A, B) = divide(A, divide(identity, B))
% 0.19/0.38 inverse(A) = divide(identity, A)
% 0.19/0.38 identity = divide(A, A)
% 0.19/0.38 multiply(inverse(a1), a1) = identity ==> \bottom
% 0.19/0.38
% 0.19/0.38 This holds because
% 0.19/0.38
% 0.19/0.38 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.19/0.38
% 0.19/0.38 E:
% 0.19/0.38 divide(A, divide(divide(divide(divide(A, A), B), C), divide(divide(identity, A), C))) = B
% 0.19/0.38 f1(identity) = false__
% 0.19/0.38 f1(multiply(inverse(a1), a1)) = true__
% 0.19/0.38 identity = divide(A, A)
% 0.19/0.38 inverse(A) = divide(identity, A)
% 0.19/0.38 multiply(A, B) = divide(A, divide(identity, B))
% 0.19/0.38 G:
% 0.19/0.38 true__ = false__
% 0.19/0.38
% 0.19/0.38 This holds because
% 0.19/0.38
% 0.19/0.38 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 divide(A, A) -> identity
% 0.19/0.38 divide(A, divide(divide(divide(divide(A, A), B), C), divide(divide(identity, A), C))) -> B
% 0.19/0.38 divide(Y0, divide(divide(inverse(Y1), Y2), divide(inverse(Y0), Y2))) -> Y1
% 0.19/0.38 divide(Y0, divide(divide(inverse(Y1), inverse(Y0)), identity)) -> Y1
% 0.19/0.38 divide(Y0, divide(inverse(Y2), divide(inverse(Y0), Y2))) -> identity
% 0.19/0.38 divide(Y0, divide(inverse(inverse(Y0)), identity)) -> identity
% 0.19/0.38 divide(Y0, inverse(divide(inverse(Y0), identity))) -> identity
% 0.19/0.38 divide(Y0, inverse(divide(inverse(Y0), inverse(Y1)))) -> Y1
% 0.19/0.38 divide(Y1, identity) -> Y1
% 0.19/0.38 divide(identity, A) -> inverse(A)
% 0.19/0.38 divide(inverse(inverse(Y0)), inverse(X1)) -> divide(Y0, inverse(X1))
% 0.19/0.38 f1(identity) -> false__
% 0.19/0.38 f1(multiply(inverse(a1), a1)) -> true__
% 0.19/0.38 inverse(divide(divide(divide(inverse(identity), Y1), Y2), inverse(Y2))) -> Y1
% 0.19/0.38 inverse(divide(divide(inverse(Y0), identity), identity)) -> Y0
% 0.19/0.38 inverse(divide(divide(inverse(Y1), Y2), inverse(Y2))) -> Y1
% 0.19/0.38 inverse(identity) -> identity
% 0.19/0.38 inverse(inverse(inverse(inverse(Y1)))) -> Y1
% 0.19/0.38 multiply(A, B) -> divide(A, divide(identity, B))
% 0.19/0.38 true__ -> false__
% 0.19/0.38 with the LPO induced by
% 0.19/0.38 a1 > f1 > multiply > divide > identity > inverse > true__ > false__
% 0.19/0.38
% 0.19/0.38 % SZS output end Proof
% 0.19/0.38
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