TSTP Solution File: SWV243-2 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SWV243-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n026.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 : Wed Jul 20 20:42:15 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
% 0.10/0.12 % Problem : SWV243-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : moca.sh %s
% 0.12/0.34 % Computer : n026.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 Jun 14 22:47:07 EDT 2022
% 0.12/0.34 % 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
% 0.12/0.38
% 0.12/0.38 [1] the following set of Horn clauses is unsatisfiable:
% 0.12/0.38
% 0.12/0.38 c_Message_Oanalz(c_Message_Osynth(v_H)) = c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg) ==> \bottom
% 0.12/0.38 c_Message_Oanalz(c_union(c_Message_Osynth(V_G), V_H, tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G, V_H, tc_Message_Omsg)), c_Message_Osynth(V_G), tc_Message_Omsg)
% 0.12/0.38 c_union(V_y, c_emptyset, T_a) = V_y
% 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)):
% 0.12/0.38
% 0.12/0.38 E:
% 0.12/0.38 c_Message_Oanalz(c_union(c_Message_Osynth(V_G), V_H, tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G, V_H, tc_Message_Omsg)), c_Message_Osynth(V_G), tc_Message_Omsg)
% 0.12/0.38 c_union(V_y, c_emptyset, T_a) = V_y
% 0.12/0.38 f1(c_Message_Oanalz(c_Message_Osynth(v_H))) = true__
% 0.12/0.38 f1(c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg)) = false__
% 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:
% 0.12/0.38
% 0.12/0.38 c_Message_Oanalz(c_Message_Osynth(Y0)) = c_union(c_Message_Oanalz(Y0), c_Message_Osynth(Y0), tc_Message_Omsg)
% 0.12/0.38 c_union(c_union(c_Message_Oanalz(X0), c_Message_Osynth(X0), tc_Message_Omsg), c_Message_Osynth(c_Message_Osynth(X0)), tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(X0)))
% 0.12/0.38 c_Message_Oanalz(c_union(c_Message_Osynth(V_G), V_H, tc_Message_Omsg)) -> c_union(c_Message_Oanalz(c_union(V_G, V_H, tc_Message_Omsg)), c_Message_Osynth(V_G), tc_Message_Omsg)
% 0.12/0.38 c_union(V_y, c_emptyset, T_a) -> V_y
% 0.12/0.38 f1(c_Message_Oanalz(c_Message_Osynth(v_H))) -> true__
% 0.12/0.38 f1(c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg)) -> false__
% 0.12/0.38 true__ -> false__
% 0.12/0.38 with the LPO induced by
% 0.12/0.38 c_emptyset > tc_Message_Omsg > c_Message_Osynth > v_H > c_Message_Oanalz > c_union > f1 > true__ > false__
% 0.12/0.38
% 0.12/0.38 % SZS output end Proof
% 0.12/0.38
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