TSTP Solution File: SWV262-2 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SWV262-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n004.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 0.49s 0.70s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV262-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : moca.sh %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 01:37:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.49/0.70 % SZS status Unsatisfiable
% 0.49/0.70 % SZS output start Proof
% 0.49/0.70 The input problem is unsatisfiable because
% 0.49/0.70
% 0.49/0.70 [1] the following set of Horn clauses is unsatisfiable:
% 0.49/0.70
% 0.49/0.70 c_Message_Oparts(c_insert(v_X, c_insert(v_Y, v_H, tc_Message_Omsg), tc_Message_Omsg)) = c_union(c_union(c_Message_Oparts(c_insert(v_X, c_emptyset, tc_Message_Omsg)), c_Message_Oparts(c_insert(v_Y, c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), c_Message_Oparts(v_H), tc_Message_Omsg) ==> \bottom
% 0.49/0.70 c_Message_Oparts(c_union(V_G, V_H, tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.49/0.70 c_union(c_emptyset, V_y, T_a) = V_y
% 0.49/0.70 c_union(c_insert(V_a, V_B, T_a), V_C, T_a) = c_insert(V_a, c_union(V_B, V_C, T_a), T_a)
% 0.49/0.70
% 0.49/0.70 This holds because
% 0.49/0.70
% 0.49/0.70 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.49/0.70
% 0.49/0.70 E:
% 0.49/0.70 c_Message_Oparts(c_union(V_G, V_H, tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.49/0.70 c_union(c_emptyset, V_y, T_a) = V_y
% 0.49/0.70 c_union(c_insert(V_a, V_B, T_a), V_C, T_a) = c_insert(V_a, c_union(V_B, V_C, T_a), T_a)
% 0.49/0.70 f1(c_Message_Oparts(c_insert(v_X, c_insert(v_Y, v_H, tc_Message_Omsg), tc_Message_Omsg))) = true__
% 0.49/0.70 f1(c_union(c_union(c_Message_Oparts(c_insert(v_X, c_emptyset, tc_Message_Omsg)), c_Message_Oparts(c_insert(v_Y, c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), c_Message_Oparts(v_H), tc_Message_Omsg)) = false__
% 0.49/0.70 G:
% 0.49/0.70 true__ = false__
% 0.49/0.70
% 0.49/0.70 This holds because
% 0.49/0.70
% 0.49/0.70 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.49/0.70
% 0.49/0.70
% 0.49/0.70 c_union(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_Message_Omsg) -> c_Message_Oparts(c_union(V_G, V_H, tc_Message_Omsg))
% 0.49/0.70 c_union(c_emptyset, V_y, T_a) -> V_y
% 0.49/0.70 c_union(c_insert(V_a, V_B, T_a), V_C, T_a) -> c_insert(V_a, c_union(V_B, V_C, T_a), T_a)
% 0.49/0.70 f1(c_Message_Oparts(c_insert(v_X, c_insert(v_Y, v_H, tc_Message_Omsg), tc_Message_Omsg))) -> true__
% 0.49/0.70 f1(c_union(c_union(c_Message_Oparts(c_insert(v_X, c_emptyset, tc_Message_Omsg)), c_Message_Oparts(c_insert(v_Y, c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), c_Message_Oparts(v_H), tc_Message_Omsg)) -> false__
% 0.49/0.70 true__ -> false__
% 0.49/0.70 with the LPO induced by
% 0.49/0.70 v_H > v_Y > tc_Message_Omsg > c_emptyset > v_X > c_union > c_insert > c_Message_Oparts > f1 > true__ > false__
% 0.49/0.70
% 0.49/0.70 % SZS output end Proof
% 0.49/0.70
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