TSTP Solution File: SYN346-1 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SYN346-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n024.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 09:15:34 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.12s
% 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 : SYN346-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : moca.sh %s
% 0.12/0.33 % Computer : n024.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 18:48:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 The input problem is unsatisfiable because
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% 0.12/0.38 [1] the following set of Horn clauses is unsatisfiable:
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% 0.12/0.38 f(b, z1(Y1, Y2))
% 0.12/0.38 f(Y1, z2(Y1, Y2))
% 0.12/0.38 f(Y1, z1(Y1, Y2)) & f(Y2, z1(Y1, Y2)) ==> \bottom
% 0.12/0.38 f(b, z2(Y1, Y2)) & f(Y2, z2(Y1, Y2)) ==> \bottom
% 0.12/0.38
% 0.12/0.38 This holds because
% 0.12/0.38
% 0.12/0.38 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
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% 0.12/0.38 E:
% 0.12/0.38 f(Y1, z2(Y1, Y2)) = true__
% 0.12/0.38 f(b, z1(Y1, Y2)) = true__
% 0.12/0.38 f1(true__) = false__
% 0.12/0.38 f2(f(Y2, z1(Y1, Y2)), Y1, Y2) = true__
% 0.12/0.38 f2(true__, Y1, Y2) = f1(f(Y1, z1(Y1, Y2)))
% 0.12/0.38 f3(true__) = false__
% 0.12/0.38 f4(f(Y2, z2(Y1, Y2)), Y1, Y2) = true__
% 0.12/0.38 f4(true__, Y1, Y2) = f3(f(b, z2(Y1, Y2)))
% 0.12/0.38 G:
% 0.12/0.38 true__ = false__
% 0.12/0.38
% 0.12/0.38 This holds because
% 0.12/0.38
% 0.12/0.38 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
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% 0.12/0.38
% 0.12/0.38 f(Y1, z2(Y1, Y2)) -> true__
% 0.12/0.38 f(b, z1(Y1, Y2)) -> true__
% 0.12/0.38 f1(f(Y1, z1(Y1, Y2))) -> f2(true__, Y1, Y2)
% 0.12/0.38 f1(true__) -> false__
% 0.12/0.38 f2(f(Y2, z1(Y1, Y2)), Y1, Y2) -> true__
% 0.12/0.38 f2(true__, Y1, b) -> true__
% 0.12/0.38 f2(true__, b, Y1) -> false__
% 0.12/0.38 f3(f(b, z2(Y1, Y2))) -> f4(true__, Y1, Y2)
% 0.12/0.38 f3(true__) -> false__
% 0.12/0.38 f4(f(Y2, z2(Y1, Y2)), Y1, Y2) -> true__
% 0.12/0.38 f4(true__, Y1, Y1) -> true__
% 0.12/0.38 f4(true__, b, Y1) -> false__
% 0.12/0.38 false__ -> true__
% 0.12/0.38 with the LPO induced by
% 0.12/0.38 f1 > f > f4 > z2 > f2 > b > f3 > z1 > false__ > true__
% 0.12/0.38
% 0.12/0.38 % SZS output end Proof
% 0.12/0.38
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