TSTP Solution File: COL058-1 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : COL058-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n029.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 00:37:15 EDT 2022
% Result : Unsatisfiable 27.47s 27.66s
% Output : Proof 27.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL058-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : moca.sh %s
% 0.13/0.33 % Computer : n029.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 : Tue May 31 13:10:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 27.47/27.66 % SZS status Unsatisfiable
% 27.47/27.66 % SZS output start Proof
% 27.47/27.66 The input problem is unsatisfiable because
% 27.47/27.66
% 27.47/27.66 [1] the following set of Horn clauses is unsatisfiable:
% 27.47/27.66
% 27.47/27.66 response(response(lark, X1), X2) = response(X1, response(X2, X2))
% 27.47/27.66 response(X, X) = X ==> \bottom
% 27.47/27.66
% 27.47/27.66 This holds because
% 27.47/27.66
% 27.47/27.66 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 27.47/27.66
% 27.47/27.66 E:
% 27.47/27.66 f1(X, X) = false__
% 27.47/27.66 f1(response(X, X), X) = true__
% 27.47/27.66 response(response(lark, X1), X2) = response(X1, response(X2, X2))
% 27.47/27.66 G:
% 27.47/27.66 true__ = false__
% 27.47/27.66
% 27.47/27.66 This holds because
% 27.47/27.66
% 27.47/27.66 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 27.47/27.66
% 27.47/27.66 response(X0, response(response(Y1, Y1), response(Y1, Y1))) = response(response(lark, response(lark, X0)), Y1)
% 27.47/27.66 response(X0, response(response(response(Y1, Y1), response(Y1, Y1)), response(response(Y1, Y1), response(Y1, Y1)))) = response(response(lark, response(lark, response(lark, X0))), Y1)
% 27.47/27.66 response(X0, response(response(response(response(lark, lark), Y1), Y1), response(response(response(lark, lark), Y1), Y1))) = response(response(lark, response(lark, X0)), response(Y1, Y1))
% 27.47/27.66 response(Y0, response(response(response(lark, lark), X0), X0)) = response(response(lark, Y0), response(X0, X0))
% 27.47/27.66 response(Y0, response(response(response(lark, lark), Y1), Y1)) = response(response(lark, response(lark, Y0)), Y1)
% 27.47/27.66 response(response(lark, X1), X2) = response(X1, response(X2, X2))
% 27.47/27.66 response(response(lark, response(Y0, Y0)), response(Y1, Y1)) = response(response(lark, response(response(lark, lark), Y0)), Y1)
% 27.47/27.66 response(response(lark, response(response(lark, lark), Y0)), X1) = response(response(Y0, Y0), response(response(X1, X1), response(X1, X1)))
% 27.47/27.66 response(response(response(lark, lark), X0), response(Y1, Y1)) = response(response(lark, response(lark, response(X0, X0))), Y1)
% 27.47/27.66 response(response(response(lark, lark), X1), Y1) = response(response(X1, X1), response(Y1, Y1))
% 27.47/27.66 response(response(response(lark, response(lark, lark)), X1), Y1) = response(response(response(X1, X1), response(X1, X1)), response(Y1, Y1))
% 27.47/27.66 f1(X, X) -> false__
% 27.47/27.66 f1(response(X, X), X) -> true__
% 27.47/27.66 f1(response(response(response(lark, lark), X0), X0), response(X0, X0)) -> true__
% 27.47/27.66 f1(response(response(response(lark, lark), response(X0, X0)), response(X0, X0)), response(response(response(lark, lark), X0), X0)) -> true__
% 27.47/27.66 f1(response(response(response(lark, lark), response(lark, lark)), lark), response(response(lark, lark), response(lark, lark))) -> true__
% 27.47/27.66 f1(response(response(response(lark, response(lark, lark)), X1), response(X1, X1)), response(response(X1, X1), response(X1, X1))) -> true__
% 27.47/27.66 response(response(response(response(lark, lark), X1), X1), response(Y1, Y1)) -> response(response(response(lark, lark), response(X1, X1)), Y1)
% 27.47/27.66 true__ -> false__
% 27.47/27.66 with the LPO induced by
% 27.47/27.66 lark > response > f1 > true__ > false__
% 27.47/27.66
% 27.47/27.66 % SZS output end Proof
% 27.47/27.66
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