TSTP Solution File: COL052-1 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : COL052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n032.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 : Fri Jul 15 00:37:12 EDT 2022
% Result : Unsatisfiable 0.36s 0.57s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : COL052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.10 % Command : moca.sh %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue May 31 06:07:28 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.36/0.57 % SZS status Unsatisfiable
% 0.36/0.57 % SZS output start Proof
% 0.36/0.57 The input problem is unsatisfiable because
% 0.36/0.57
% 0.36/0.57 [1] the following set of Horn clauses is unsatisfiable:
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% 0.36/0.57 response(compose(X, Y), W) = response(X, response(Y, W))
% 0.36/0.57 response(c, common_bird(X)) = response(X, common_bird(X))
% 0.36/0.57 response(a, V) = response(odd_bird, V) ==> \bottom
% 0.36/0.57 c = compose(a, b)
% 0.36/0.57
% 0.36/0.57 This holds because
% 0.36/0.57
% 0.36/0.57 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
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% 0.36/0.57 E:
% 0.36/0.57 c = compose(a, b)
% 0.36/0.57 f1(response(a, V), V) = true__
% 0.36/0.57 f1(response(odd_bird, V), V) = false__
% 0.36/0.57 response(c, common_bird(X)) = response(X, common_bird(X))
% 0.36/0.57 response(compose(X, Y), W) = response(X, response(Y, W))
% 0.36/0.57 G:
% 0.36/0.57 true__ = false__
% 0.36/0.57
% 0.36/0.57 This holds because
% 0.36/0.57
% 0.36/0.57 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.36/0.57
% 0.36/0.57 response(X0, response(X1, response(Y1, common_bird(compose(compose(X0, X1), Y1))))) = response(a, response(b, common_bird(compose(compose(X0, X1), Y1))))
% 0.36/0.57 response(Y0, response(X0, response(X1, common_bird(compose(Y0, compose(X0, X1)))))) = response(a, response(b, common_bird(compose(Y0, compose(X0, X1)))))
% 0.36/0.57 response(a, response(b, common_bird(Y0))) = response(Y0, common_bird(Y0))
% 0.36/0.57 response(a, response(b, common_bird(compose(Y0, Y1)))) = response(Y0, response(Y1, common_bird(compose(Y0, Y1))))
% 0.36/0.57 response(c, common_bird(X)) = response(X, common_bird(X))
% 0.36/0.57 c -> compose(a, b)
% 0.36/0.57 f1(response(X0, common_bird(X0)), response(b, common_bird(X0))) -> true__
% 0.36/0.57 f1(response(X0, response(X1, common_bird(compose(X0, X1)))), response(b, common_bird(compose(X0, X1)))) -> true__
% 0.36/0.57 f1(response(X0, response(X1, response(Y1, common_bird(compose(compose(X0, X1), Y1))))), response(b, common_bird(compose(compose(X0, X1), Y1)))) -> true__
% 0.36/0.57 f1(response(Y0, response(X0, response(X1, common_bird(compose(Y0, compose(X0, X1)))))), response(b, common_bird(compose(Y0, compose(X0, X1))))) -> true__
% 0.36/0.57 f1(response(a, V), V) -> true__
% 0.36/0.57 f1(response(a, response(b, common_bird(compose(a, X1)))), response(X1, common_bird(compose(a, X1)))) -> true__
% 0.36/0.57 f1(response(a, response(b, common_bird(compose(a, compose(X1, X2))))), response(X1, response(X2, common_bird(compose(a, compose(X1, X2)))))) -> true__
% 0.36/0.57 f1(response(a, response(b, common_bird(compose(compose(a, X1), X2)))), response(X1, response(X2, common_bird(compose(compose(a, X1), X2))))) -> true__
% 0.36/0.57 f1(response(a, response(b, common_bird(compose(compose(odd_bird, X1), X2)))), response(X1, response(X2, common_bird(compose(compose(odd_bird, X1), X2))))) -> false__
% 0.36/0.57 f1(response(a, response(b, common_bird(compose(odd_bird, X1)))), response(X1, common_bird(compose(odd_bird, X1)))) -> false__
% 0.36/0.57 f1(response(a, response(b, common_bird(compose(odd_bird, compose(X1, X2))))), response(X1, response(X2, common_bird(compose(odd_bird, compose(X1, X2)))))) -> false__
% 0.36/0.57 f1(response(odd_bird, V), V) -> false__
% 0.36/0.57 response(compose(X, Y), W) -> response(X, response(Y, W))
% 0.36/0.57 true__ -> false__
% 0.36/0.57 with the LPO induced by
% 0.36/0.57 c > b > a > odd_bird > f1 > common_bird > compose > response > true__ > false__
% 0.36/0.57
% 0.36/0.57 % SZS output end Proof
% 0.36/0.57
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