TSTP Solution File: PUZ011-1 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 18:21:09 EDT 2022
% Result : Unsatisfiable 7.65s 7.76s
% Output : Proof 7.65s
% 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 : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : moca.sh %s
% 0.13/0.34 % Computer : n022.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 : Sat May 28 22:39:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.65/7.76 % SZS status Unsatisfiable
% 7.65/7.76 % SZS output start Proof
% 7.65/7.76 The input problem is unsatisfiable because
% 7.65/7.76
% 7.65/7.76 [1] the following set of Horn clauses is unsatisfiable:
% 7.65/7.76
% 7.65/7.76 ocean(atlantic)
% 7.65/7.76 ocean(indian)
% 7.65/7.76 borders(atlantic, brazil)
% 7.65/7.76 borders(atlantic, uruguay)
% 7.65/7.76 borders(atlantic, venesuela)
% 7.65/7.76 borders(atlantic, zaire)
% 7.65/7.76 borders(atlantic, nigeria)
% 7.65/7.76 borders(atlantic, angola)
% 7.65/7.76 borders(indian, india)
% 7.65/7.76 borders(indian, pakistan)
% 7.65/7.76 borders(indian, iran)
% 7.65/7.76 borders(indian, somalia)
% 7.65/7.76 borders(indian, kenya)
% 7.65/7.76 borders(indian, tanzania)
% 7.65/7.76 south_american(brazil)
% 7.65/7.76 south_american(uruguay)
% 7.65/7.76 south_american(venesuela)
% 7.65/7.76 african(zaire)
% 7.65/7.76 african(nigeria)
% 7.65/7.76 african(angola)
% 7.65/7.76 african(somalia)
% 7.65/7.76 african(kenya)
% 7.65/7.76 african(tanzania)
% 7.65/7.76 asian(india)
% 7.65/7.76 asian(pakistan)
% 7.65/7.76 asian(iran)
% 7.65/7.76 ocean(Ocean) & borders(Ocean, African) & african(African) & borders(Ocean, Asian) & asian(Asian) ==> \bottom
% 7.65/7.76
% 7.65/7.76 This holds because
% 7.65/7.76
% 7.65/7.76 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 7.65/7.76
% 7.65/7.76 E:
% 7.65/7.76 african(angola) = true__
% 7.65/7.76 african(kenya) = true__
% 7.65/7.76 african(nigeria) = true__
% 7.65/7.76 african(somalia) = true__
% 7.65/7.76 african(tanzania) = true__
% 7.65/7.76 african(zaire) = true__
% 7.65/7.76 asian(india) = true__
% 7.65/7.76 asian(iran) = true__
% 7.65/7.76 asian(pakistan) = true__
% 7.65/7.76 borders(atlantic, angola) = true__
% 7.65/7.76 borders(atlantic, brazil) = true__
% 7.65/7.76 borders(atlantic, nigeria) = true__
% 7.65/7.76 borders(atlantic, uruguay) = true__
% 7.65/7.76 borders(atlantic, venesuela) = true__
% 7.65/7.76 borders(atlantic, zaire) = true__
% 7.65/7.76 borders(indian, india) = true__
% 7.65/7.76 borders(indian, iran) = true__
% 7.65/7.76 borders(indian, kenya) = true__
% 7.65/7.76 borders(indian, pakistan) = true__
% 7.65/7.76 borders(indian, somalia) = true__
% 7.65/7.76 borders(indian, tanzania) = true__
% 7.65/7.76 f1(true__) = false__
% 7.65/7.76 f2(true__, Ocean) = f1(ocean(Ocean))
% 7.65/7.76 f3(true__, Ocean, African) = f2(borders(Ocean, African), Ocean)
% 7.65/7.76 f4(true__, African, Ocean) = f3(african(African), Ocean, African)
% 7.65/7.76 f5(asian(Asian), Ocean, Asian, African) = true__
% 7.65/7.76 f5(true__, Ocean, Asian, African) = f4(borders(Ocean, Asian), African, Ocean)
% 7.65/7.76 ocean(atlantic) = true__
% 7.65/7.76 ocean(indian) = true__
% 7.65/7.76 south_american(brazil) = true__
% 7.65/7.76 south_american(uruguay) = true__
% 7.65/7.76 south_american(venesuela) = true__
% 7.65/7.76 G:
% 7.65/7.76 true__ = false__
% 7.65/7.76
% 7.65/7.76 This holds because
% 7.65/7.76
% 7.65/7.76 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 7.65/7.76
% 7.65/7.76 f4(true__, African, Ocean) = f3(african(African), Ocean, African)
% 7.65/7.76 african(angola) -> true__
% 7.65/7.76 african(kenya) -> true__
% 7.65/7.76 african(nigeria) -> true__
% 7.65/7.76 african(somalia) -> true__
% 7.65/7.76 african(tanzania) -> true__
% 7.65/7.76 african(zaire) -> true__
% 7.65/7.76 asian(india) -> true__
% 7.65/7.76 asian(iran) -> true__
% 7.65/7.76 asian(pakistan) -> true__
% 7.65/7.76 borders(atlantic, angola) -> true__
% 7.65/7.76 borders(atlantic, brazil) -> true__
% 7.65/7.76 borders(atlantic, nigeria) -> true__
% 7.65/7.76 borders(atlantic, uruguay) -> true__
% 7.65/7.76 borders(atlantic, venesuela) -> true__
% 7.65/7.76 borders(atlantic, zaire) -> true__
% 7.65/7.76 borders(indian, india) -> true__
% 7.65/7.76 borders(indian, iran) -> true__
% 7.65/7.76 borders(indian, kenya) -> true__
% 7.65/7.76 borders(indian, pakistan) -> true__
% 7.65/7.76 borders(indian, somalia) -> true__
% 7.65/7.76 borders(indian, tanzania) -> true__
% 7.65/7.76 f1(ocean(Ocean)) -> f2(true__, Ocean)
% 7.65/7.76 f1(true__) -> false__
% 7.65/7.76 f2(borders(indian, angola), indian) -> true__
% 7.65/7.76 f2(borders(indian, nigeria), indian) -> true__
% 7.65/7.76 f2(borders(indian, zaire), indian) -> true__
% 7.65/7.76 f2(true__, atlantic) -> false__
% 7.65/7.76 f2(true__, indian) -> false__
% 7.65/7.76 f3(african(Y2), atlantic, Y2) -> f4(true__, Y2, atlantic)
% 7.65/7.76 f3(true__, Ocean, African) -> f2(borders(Ocean, African), Ocean)
% 7.65/7.76 f4(borders(Y1, india), Y2, Y1) -> true__
% 7.65/7.76 f4(borders(Y1, iran), Y2, Y1) -> true__
% 7.65/7.76 f4(borders(Y1, pakistan), Y2, Y1) -> true__
% 7.65/7.76 f4(true__, Y1, indian) -> true__
% 7.65/7.76 f4(true__, angola, Y1) -> f2(borders(Y1, angola), Y1)
% 7.65/7.76 f4(true__, kenya, Y1) -> f2(borders(Y1, kenya), Y1)
% 7.65/7.76 f4(true__, nigeria, Y1) -> f2(borders(Y1, nigeria), Y1)
% 7.65/7.76 f4(true__, somalia, Y1) -> f2(borders(Y1, somalia), Y1)
% 7.65/7.76 f4(true__, tanzania, Y1) -> f2(borders(Y1, tanzania), Y1)
% 7.65/7.76 f4(true__, zaire, Y1) -> f2(borders(Y1, zaire), Y1)
% 7.65/7.76 f5(asian(Asian), Ocean, Asian, African) -> true__
% 7.65/7.76 f5(true__, Ocean, Asian, African) -> f4(borders(Ocean, Asian), African, Ocean)
% 7.65/7.76 false__ -> true__
% 7.65/7.76 ocean(atlantic) -> true__
% 7.65/7.76 ocean(indian) -> true__
% 7.65/7.76 south_american(brazil) -> true__
% 7.65/7.76 south_american(uruguay) -> true__
% 7.65/7.76 south_american(venesuela) -> true__
% 7.65/7.76 with the LPO induced by
% 7.65/7.76 south_american > tanzania > zaire > uruguay > venesuela > iran > african > f5 > f1 > f4 > f3 > borders > f2 > brazil > pakistan > india > asian > indian > atlantic > kenya > somalia > ocean > angola > nigeria > false__ > true__
% 7.65/7.76
% 7.65/7.76 % SZS output end Proof
% 7.65/7.76
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