TSTP Solution File: ALG300-1 by Moca---0.1
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% File : Moca---0.1
% Problem : ALG300-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n019.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 : Thu Jul 14 17:42:21 EDT 2022
% Result : Unknown 0.19s 0.44s
% Output : None
% 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 : ALG300-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : moca.sh %s
% 0.12/0.33 % Computer : n019.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 09:12:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43 % SZS status Satisfiable
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 The input problem is satisfiable because
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% 0.19/0.43 [1] the following set of Horn clauses is satisfiable:
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% 0.19/0.43 product(product(product(product(A, A), A), B), product(A, C)) = B
% 0.19/0.43 tptp1 = tptp0 ==> \bottom
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% 0.19/0.43 This holds because
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% 0.19/0.43 [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
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% 0.19/0.43 E:
% 0.19/0.43 f1(tptp0) = true__
% 0.19/0.43 f1(tptp1) = false__
% 0.19/0.43 product(product(product(product(A, A), A), B), product(A, C)) = B
% 0.19/0.43 G:
% 0.19/0.43 true__ = false__
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% 0.19/0.43 This holds because
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% 0.19/0.43 [3] the following ground-complete ordered TRS entails E but does not entail G:
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% 0.19/0.43
% 0.19/0.43 f1(tptp0) -> true__
% 0.19/0.43 f1(tptp1) -> false__
% 0.19/0.43 product(product(product(product(A, A), A), B), product(A, C)) -> B
% 0.19/0.43 product(product(product(product(product(product(product(X0, X0), X0), X1), product(product(product(X0, X0), X0), X1)), product(product(product(X0, X0), X0), X1)), Y1), X1) -> Y1
% 0.19/0.43 with the LPO induced by
% 0.19/0.43 product > tptp0 > tptp1 > f1 > true__ > false__
% 0.19/0.43
% 0.19/0.43 % SZS output end Proof
% 0.19/0.43
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