TSTP Solution File: GRP538-1 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n023.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 10:56:07 EDT 2022
% Result : Unsatisfiable 0.60s 0.80s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : moca.sh %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 15:24:21 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.60/0.80 % SZS status Unsatisfiable
% 0.60/0.80 % SZS output start Proof
% 0.60/0.80 The input problem is unsatisfiable because
% 0.60/0.80
% 0.60/0.80 [1] the following set of Horn clauses is unsatisfiable:
% 0.60/0.80
% 0.60/0.80 divide(divide(A, B), divide(divide(A, C), B)) = C
% 0.60/0.80 multiply(A, B) = divide(A, divide(divide(C, C), B))
% 0.60/0.80 inverse(A) = divide(divide(B, B), A)
% 0.60/0.80 identity = divide(A, A)
% 0.60/0.80 multiply(multiply(inverse(b2), b2), a2) = a2 ==> \bottom
% 0.60/0.80
% 0.60/0.80 This holds because
% 0.60/0.80
% 0.60/0.80 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.60/0.80
% 0.60/0.80 E:
% 0.60/0.80 divide(divide(A, B), divide(divide(A, C), B)) = C
% 0.60/0.80 f1(a2) = false__
% 0.60/0.80 f1(multiply(multiply(inverse(b2), b2), a2)) = true__
% 0.60/0.80 identity = divide(A, A)
% 0.60/0.80 inverse(A) = divide(divide(B, B), A)
% 0.60/0.80 multiply(A, B) = divide(A, divide(divide(C, C), B))
% 0.60/0.80 G:
% 0.60/0.80 true__ = false__
% 0.60/0.80
% 0.60/0.80 This holds because
% 0.60/0.80
% 0.60/0.80 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.60/0.80
% 0.60/0.80 inverse(A) = divide(divide(B, B), A)
% 0.60/0.80 multiply(X0, divide(identity, X1)) = divide(X0, X1)
% 0.60/0.80 divide(A, A) -> identity
% 0.60/0.80 divide(A, divide(divide(C, C), B)) -> multiply(A, B)
% 0.60/0.80 divide(Y0, divide(Y0, Y1)) -> Y1
% 0.60/0.80 divide(Y0, divide(identity, Y2)) -> multiply(Y0, Y2)
% 0.60/0.80 divide(Y0, identity) -> multiply(Y0, identity)
% 0.60/0.80 divide(divide(A, B), divide(divide(A, C), B)) -> C
% 0.60/0.80 divide(divide(X0, X1), X0) -> divide(identity, X1)
% 0.60/0.80 divide(divide(Y0, divide(Y0, Y2)), identity) -> Y2
% 0.60/0.80 divide(divide(Y2, Y1), divide(identity, Y1)) -> Y2
% 0.60/0.80 divide(identity, divide(X1, divide(X0, divide(X0, X1)))) -> identity
% 0.60/0.80 divide(identity, divide(divide(Y1, Y2), Y1)) -> Y2
% 0.60/0.80 divide(identity, divide(multiply(Y0, identity), Y0)) -> identity
% 0.60/0.80 divide(identity, multiply(divide(identity, Y1), identity)) -> Y1
% 0.60/0.80 divide(multiply(Y1, identity), Y1) -> identity
% 0.60/0.80 f1(a2) -> false__
% 0.60/0.80 f1(multiply(multiply(divide(identity, b2), b2), a2)) -> true__
% 0.60/0.80 f1(multiply(multiply(inverse(b2), b2), a2)) -> true__
% 0.60/0.80 multiply(X1, divide(divide(X0, X1), X0)) -> identity
% 0.60/0.80 multiply(Y0, divide(identity, Y0)) -> identity
% 0.60/0.80 multiply(Y0, multiply(divide(identity, Y0), identity)) -> identity
% 0.60/0.80 multiply(Y1, identity) -> Y1
% 0.60/0.80 multiply(divide(Y0, divide(Y0, Y1)), identity) -> Y1
% 0.60/0.80 multiply(divide(Y0, multiply(Y0, identity)), identity) -> identity
% 0.60/0.80 multiply(divide(Y2, Y1), Y1) -> Y2
% 0.60/0.80 multiply(divide(divide(X0, X1), X0), X1) -> identity
% 0.60/0.80 multiply(divide(identity, Y2), Y2) -> identity
% 0.60/0.80 multiply(identity, Y1) -> Y1
% 0.60/0.80 multiply(identity, identity) -> identity
% 0.60/0.80 multiply(multiply(Y0, X1), divide(identity, X1)) -> Y0
% 0.60/0.80 multiply(multiply(Y1, identity), identity) -> Y1
% 0.60/0.80 multiply(multiply(identity, identity), identity) -> identity
% 0.60/0.80 true__ -> false__
% 0.60/0.80 with the LPO induced by
% 0.60/0.80 b2 > a2 > f1 > inverse > divide > identity > multiply > true__ > false__
% 0.60/0.80
% 0.60/0.80 % SZS output end Proof
% 0.60/0.80
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