TSTP Solution File: SYN342-10 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SYN342-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n022.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 21 09:15:31 EDT 2022
% Result : Unknown 0.20s 0.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN342-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : moca.sh %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Tue Jul 12 00:57:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.41 % SZS status Satisfiable
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 The input problem is satisfiable because
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% 0.20/0.41 [1] the following set of Horn clauses is satisfiable:
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% 0.20/0.41 f(a, Y2, y3(Y2)) = true
% 0.20/0.41 f(Y4, Y4, a) = true ==> \bottom
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% 0.20/0.41 This holds because
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% 0.20/0.41 [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
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% 0.20/0.41 E:
% 0.20/0.41 f(a, Y2, y3(Y2)) = true
% 0.20/0.41 f1(f(Y4, Y4, a)) = false__
% 0.20/0.41 f1(true) = true__
% 0.20/0.41 G:
% 0.20/0.41 true__ = false__
% 0.20/0.41
% 0.20/0.41 This holds because
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% 0.20/0.41 [3] the following ground-complete ordered TRS entails E but does not entail G:
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% 0.20/0.41
% 0.20/0.41 f(a, Y2, y3(Y2)) -> true
% 0.20/0.41 f1(f(Y4, Y4, a)) -> false__
% 0.20/0.41 f1(true) -> true__
% 0.20/0.41 with the LPO induced by
% 0.20/0.41 f1 > a > true > y3 > f > true__ > false__
% 0.20/0.41
% 0.20/0.41 % SZS output end Proof
% 0.20/0.41
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