TSTP Solution File: GRP445-1 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : GRP445-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n017.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 10:55:30 EDT 2022
% Result : Unsatisfiable 2.92s 3.05s
% Output : Proof 2.92s
% 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 : GRP445-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : moca.sh %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 13:13:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.92/3.05 % SZS status Unsatisfiable
% 2.92/3.05 % SZS output start Proof
% 2.92/3.05 The input problem is unsatisfiable because
% 2.92/3.05
% 2.92/3.05 [1] the following set of Horn clauses is unsatisfiable:
% 2.92/3.05
% 2.92/3.05 divide(A, divide(divide(divide(divide(A, A), B), C), divide(divide(divide(A, A), A), C))) = B
% 2.92/3.05 multiply(A, B) = divide(A, divide(divide(C, C), B))
% 2.92/3.05 inverse(A) = divide(divide(B, B), A)
% 2.92/3.05 multiply(inverse(a1), a1) = multiply(inverse(b1), b1) ==> \bottom
% 2.92/3.05
% 2.92/3.05 This holds because
% 2.92/3.05
% 2.92/3.05 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 2.92/3.05
% 2.92/3.05 E:
% 2.92/3.05 divide(A, divide(divide(divide(divide(A, A), B), C), divide(divide(divide(A, A), A), C))) = B
% 2.92/3.05 f1(multiply(inverse(a1), a1)) = true__
% 2.92/3.05 f1(multiply(inverse(b1), b1)) = false__
% 2.92/3.05 inverse(A) = divide(divide(B, B), A)
% 2.92/3.05 multiply(A, B) = divide(A, divide(divide(C, C), B))
% 2.92/3.05 G:
% 2.92/3.05 true__ = false__
% 2.92/3.05
% 2.92/3.05 This holds because
% 2.92/3.05
% 2.92/3.05 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 2.92/3.05
% 2.92/3.05
% 2.92/3.05 divide(A, divide(divide(C, C), B)) -> multiply(A, B)
% 2.92/3.05 divide(Y0, divide(X0, divide(inverse(Y0), inverse(inverse(inverse(X0)))))) -> g1
% 2.92/3.05 divide(Y0, divide(divide(X0, Y2), divide(inverse(Y0), Y2))) -> inverse(inverse(inverse(X0)))
% 2.92/3.05 divide(Y0, divide(inverse(Y2), divide(inverse(Y0), Y2))) -> g1
% 2.92/3.05 divide(Y0, divide(inverse(inverse(Y0)), g1)) -> g1
% 2.92/3.05 divide(Y0, inverse(Y2)) -> multiply(Y0, Y2)
% 2.92/3.05 divide(Y0, inverse(divide(inverse(Y0), X0))) -> inverse(inverse(inverse(X0)))
% 2.92/3.05 divide(Y0, inverse(inverse(Y0))) -> g1
% 2.92/3.05 divide(Y1, Y1) -> g1
% 2.92/3.05 divide(Y1, g1) -> Y1
% 2.92/3.05 divide(g1, Y1) -> inverse(Y1)
% 2.92/3.05 divide(inverse(inverse(Y0)), Y0) -> g1
% 2.92/3.05 divide(inverse(inverse(Y1)), divide(Y1, g1)) -> g1
% 2.92/3.05 divide(inverse(inverse(inverse(X0))), divide(divide(inverse(Y1), Y2), divide(X0, Y2))) -> Y1
% 2.92/3.05 divide(inverse(inverse(inverse(X0))), inverse(divide(X0, inverse(Y1)))) -> Y1
% 2.92/3.05 divide(inverse(inverse(inverse(Y0))), inverse(Y0)) -> g1
% 2.92/3.05 divide(inverse(inverse(inverse(Y0))), inverse(divide(Y0, g1))) -> g1
% 2.92/3.05 f1(divide(inverse(a1), inverse(a1))) -> true__
% 2.92/3.05 f1(g1) -> false__
% 2.92/3.05 f1(g1) -> true__
% 2.92/3.05 f1(multiply(inverse(a1), a1)) -> true__
% 2.92/3.05 f1(multiply(inverse(b1), b1)) -> false__
% 2.92/3.05 inverse(divide(divide(Y1, Y2), inverse(Y2))) -> inverse(inverse(inverse(Y1)))
% 2.92/3.05 inverse(g1) -> g1
% 2.92/3.05 inverse(inverse(inverse(Y0))) -> inverse(Y0)
% 2.92/3.05 inverse(inverse(inverse(inverse(Y1)))) -> Y1
% 2.92/3.05 multiply(Y0, g1) -> Y0
% 2.92/3.05 true__ -> false__
% 2.92/3.05 with the LPO induced by
% 2.92/3.05 a1 > f1 > b1 > divide > inverse > g1 > multiply > true__ > false__
% 2.92/3.05
% 2.92/3.05 % SZS output end Proof
% 2.92/3.05
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