TSTP Solution File: ALG302-1 by Moca---0.1
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% File : Moca---0.1
% Problem : ALG302-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n018.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 17:42:22 EDT 2022
% Result : Unknown 0.13s 0.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG302-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : moca.sh %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 13:28:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.40 % SZS status Satisfiable
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 The input problem is satisfiable because
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% 0.13/0.40 [1] the following set of Horn clauses is satisfiable:
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% 0.13/0.40 product(product(product(product(A, A), A), B), product(product(product(A, A), product(product(A, A), A)), C)) = B
% 0.13/0.40 tptp1 = tptp0 ==> \bottom
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% 0.13/0.40 This holds because
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% 0.13/0.40 [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
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% 0.13/0.40 E:
% 0.13/0.40 f1(tptp0) = true__
% 0.13/0.40 f1(tptp1) = false__
% 0.13/0.40 product(product(product(product(A, A), A), B), product(product(product(A, A), product(product(A, A), A)), C)) = B
% 0.13/0.40 G:
% 0.13/0.40 true__ = false__
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% 0.13/0.40 This holds because
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% 0.13/0.40 [3] the following ground-complete ordered TRS entails E but does not entail G:
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% 0.13/0.40 f1(tptp0) -> true__
% 0.13/0.40 f1(tptp1) -> false__
% 0.13/0.40 product(product(product(product(A, A), A), B), product(product(product(A, A), product(product(A, A), A)), C)) -> B
% 0.13/0.40 with the LPO induced by
% 0.13/0.40 tptp0 > tptp1 > f1 > product > true__ > false__
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% 0.13/0.40 % SZS output end Proof
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