TSTP Solution File: SWV263-2 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SWV263-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n032.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 20:42:28 EDT 2022
% Result : Unsatisfiable 0.50s 0.73s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SWV263-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.09 % Command : moca.sh %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 15 13:52:59 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.50/0.73 % SZS status Unsatisfiable
% 0.50/0.73 % SZS output start Proof
% 0.50/0.73 The input problem is unsatisfiable because
% 0.50/0.73
% 0.50/0.73 [1] the following set of Horn clauses is unsatisfiable:
% 0.50/0.73
% 0.50/0.73 c_lessequals(v_G, v_H, tc_set(tc_Message_Omsg))
% 0.50/0.73 c_in(v_X, v_G, tc_Message_Omsg)
% 0.50/0.73 c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg) ==> \bottom
% 0.50/0.73 c_in(V_X, V_H, tc_Message_Omsg) ==> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.50/0.73 c_in(V_c, V_A, T_a) & c_lessequals(V_A, V_B, tc_set(T_a)) ==> c_in(V_c, V_B, T_a)
% 0.50/0.73
% 0.50/0.73 This holds because
% 0.50/0.73
% 0.50/0.73 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.50/0.73
% 0.50/0.73 E:
% 0.50/0.73 c_in(v_X, v_G, tc_Message_Omsg) = true__
% 0.50/0.73 c_lessequals(v_G, v_H, tc_set(tc_Message_Omsg)) = true__
% 0.50/0.73 f1(c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) = true__
% 0.50/0.73 f1(true__) = false__
% 0.50/0.73 f2(c_in(V_X, V_H, tc_Message_Omsg), V_X, V_H) = true__
% 0.50/0.73 f2(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.50/0.73 f3(true__, V_c, V_B, T_a) = c_in(V_c, V_B, T_a)
% 0.50/0.73 f4(c_lessequals(V_A, V_B, tc_set(T_a)), V_c, V_A, T_a, V_B) = true__
% 0.50/0.73 f4(true__, V_c, V_A, T_a, V_B) = f3(c_in(V_c, V_A, T_a), V_c, V_B, T_a)
% 0.50/0.73 G:
% 0.50/0.73 true__ = false__
% 0.50/0.73
% 0.50/0.73 This holds because
% 0.50/0.73
% 0.50/0.73 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.50/0.73
% 0.50/0.73
% 0.50/0.73 c_in(V_c, V_B, T_a) -> f3(true__, V_c, V_B, T_a)
% 0.50/0.73 c_in(v_X, v_G, tc_Message_Omsg) -> true__
% 0.50/0.73 c_lessequals(v_G, v_H, tc_set(tc_Message_Omsg)) -> true__
% 0.50/0.73 f1(c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) -> true__
% 0.50/0.73 f1(f3(true__, v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) -> true__
% 0.50/0.73 f1(true__) -> false__
% 0.50/0.73 f2(c_in(V_X, V_H, tc_Message_Omsg), V_X, V_H) -> true__
% 0.50/0.73 f2(f3(true__, Y0, Y1, tc_Message_Omsg), Y0, Y1) -> true__
% 0.50/0.73 f2(true__, V_X, V_H) -> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.50/0.73 f3(f3(true__, Y3, v_G, tc_Message_Omsg), Y3, v_H, tc_Message_Omsg) -> true__
% 0.50/0.73 f3(true__, v_X, c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))), tc_Message_Omsg) -> true__
% 0.50/0.73 f3(true__, v_X, c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))), tc_Message_Omsg) -> true__
% 0.50/0.73 f3(true__, v_X, c_Message_Oparts(c_Message_Oparts(v_G)), tc_Message_Omsg) -> true__
% 0.50/0.73 f3(true__, v_X, c_Message_Oparts(c_Message_Oparts(v_H)), tc_Message_Omsg) -> true__
% 0.50/0.73 f3(true__, v_X, c_Message_Oparts(v_G), tc_Message_Omsg) -> true__
% 0.50/0.73 f3(true__, v_X, c_Message_Oparts(v_H), tc_Message_Omsg) -> true__
% 0.50/0.73 f3(true__, v_X, v_G, tc_Message_Omsg) -> true__
% 0.50/0.73 f3(true__, v_X, v_H, tc_Message_Omsg) -> true__
% 0.50/0.73 f4(c_lessequals(V_A, V_B, tc_set(T_a)), V_c, V_A, T_a, V_B) -> true__
% 0.50/0.73 f4(true__, V_c, V_A, T_a, V_B) -> f3(c_in(V_c, V_A, T_a), V_c, V_B, T_a)
% 0.50/0.73 false__ -> true__
% 0.50/0.73 with the LPO induced by
% 0.50/0.73 tc_set > f4 > f2 > c_in > f3 > tc_Message_Omsg > c_Message_Oparts > f1 > v_X > v_H > v_G > c_lessequals > false__ > true__
% 0.50/0.73
% 0.50/0.73 % SZS output end Proof
% 0.50/0.73
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