TSTP Solution File: SWV268-2 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SWV268-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n009.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 20:42:32 EDT 2022
% Result : Unsatisfiable 0.47s 0.69s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV268-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : moca.sh %s
% 0.13/0.34 % Computer : n009.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 : Thu Jun 16 05:30:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.47/0.69 % SZS status Unsatisfiable
% 0.47/0.69 % SZS output start Proof
% 0.47/0.69 The input problem is unsatisfiable because
% 0.47/0.69
% 0.47/0.69 [1] the following set of Horn clauses is unsatisfiable:
% 0.47/0.69
% 0.47/0.69 c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg))
% 0.47/0.69 c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) ==> \bottom
% 0.47/0.69 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H)
% 0.47/0.69 c_lessequals(V_G, V_H, tc_set(tc_Message_Omsg)) ==> c_lessequals(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_set(tc_Message_Omsg))
% 0.47/0.69
% 0.47/0.69 This holds because
% 0.47/0.69
% 0.47/0.69 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.47/0.69
% 0.47/0.69 E:
% 0.47/0.69 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H)
% 0.47/0.69 c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) = true__
% 0.47/0.69 f1(c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg))) = true__
% 0.47/0.69 f1(true__) = false__
% 0.47/0.69 f2(c_lessequals(V_G, V_H, tc_set(tc_Message_Omsg)), V_G, V_H) = true__
% 0.47/0.69 f2(true__, V_G, V_H) = c_lessequals(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_set(tc_Message_Omsg))
% 0.47/0.69 G:
% 0.47/0.69 true__ = false__
% 0.47/0.69
% 0.47/0.69 This holds because
% 0.47/0.69
% 0.47/0.69 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.47/0.69
% 0.47/0.69
% 0.47/0.69 c_Message_Oparts(c_Message_Oparts(V_H)) -> c_Message_Oparts(V_H)
% 0.47/0.69 c_lessequals(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) -> f2(true__, V_G, V_H)
% 0.47/0.69 c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) -> true__
% 0.47/0.69 f1(c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg))) -> true__
% 0.47/0.69 f1(f2(true__, v_G, v_H)) -> true__
% 0.47/0.69 f1(true__) -> false__
% 0.47/0.69 f2(c_lessequals(V_G, V_H, tc_set(tc_Message_Omsg)), V_G, V_H) -> true__
% 0.47/0.69 f2(f2(true__, X0, X1), c_Message_Oparts(X0), c_Message_Oparts(X1)) -> true__
% 0.47/0.69 f2(true__, Y0, c_Message_Oparts(X0)) -> f2(true__, Y0, X0)
% 0.47/0.69 f2(true__, c_Message_Oparts(X0), Y1) -> f2(true__, X0, Y1)
% 0.47/0.69 f2(true__, v_G, c_Message_Oparts(v_H)) -> true__
% 0.47/0.69 f2(true__, v_G, v_H) -> true__
% 0.47/0.69 false__ -> true__
% 0.47/0.69 with the LPO induced by
% 0.47/0.69 c_lessequals > f2 > tc_Message_Omsg > f1 > tc_set > v_H > c_Message_Oparts > v_G > false__ > true__
% 0.47/0.69
% 0.47/0.69 % SZS output end Proof
% 0.47/0.69
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