TSTP Solution File: SWV280-2 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SWV280-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n017.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 20:42:40 EDT 2022
% Result : Unsatisfiable 0.21s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV280-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : moca.sh %s
% 0.13/0.36 % Computer : n017.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Wed Jun 15 17:36:25 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.41 % SZS status Unsatisfiable
% 0.21/0.41 % SZS output start Proof
% 0.21/0.41 The input problem is unsatisfiable because
% 0.21/0.41
% 0.21/0.41 [1] the following set of Horn clauses is unsatisfiable:
% 0.21/0.41
% 0.21/0.41 c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(v_evs), tc_Message_Omsg)
% 0.21/0.41 c_lessequals(V_n, c_plus(V_n, V_m, tc_nat), tc_nat)
% 0.21/0.41 c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(V_evs), tc_Message_Omsg) & c_lessequals(v_sko__urX(V_evs), V_U, tc_nat) ==> \bottom
% 0.21/0.41
% 0.21/0.41 This holds because
% 0.21/0.41
% 0.21/0.41 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.21/0.41
% 0.21/0.41 E:
% 0.21/0.41 c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(v_evs), tc_Message_Omsg) = true__
% 0.21/0.41 c_lessequals(V_n, c_plus(V_n, V_m, tc_nat), tc_nat) = true__
% 0.21/0.41 f1(true__) = false__
% 0.21/0.41 f2(c_lessequals(v_sko__urX(V_evs), V_U, tc_nat), V_U, V_evs) = true__
% 0.21/0.41 f2(true__, V_U, V_evs) = f1(c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(V_evs), tc_Message_Omsg))
% 0.21/0.41 G:
% 0.21/0.41 true__ = false__
% 0.21/0.41
% 0.21/0.41 This holds because
% 0.21/0.41
% 0.21/0.41 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41 c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(v_evs), tc_Message_Omsg) -> true__
% 0.21/0.41 c_lessequals(V_n, c_plus(V_n, V_m, tc_nat), tc_nat) -> true__
% 0.21/0.41 f1(c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(V_evs), tc_Message_Omsg)) -> f2(true__, V_U, V_evs)
% 0.21/0.41 f1(true__) -> false__
% 0.21/0.41 f2(c_lessequals(v_sko__urX(V_evs), V_U, tc_nat), V_U, V_evs) -> true__
% 0.21/0.41 f2(true__, Y0, v_evs) -> false__
% 0.21/0.41 f2(true__, c_plus(v_sko__urX(Y0), X1, tc_nat), Y0) -> true__
% 0.21/0.41 false__ -> true__
% 0.21/0.41 with the LPO induced by
% 0.21/0.41 v_sko__urX > f1 > f2 > tc_Message_Omsg > tc_nat > c_plus > c_lessequals > v_evs > c_Event_Oused > c_Message_Omsg_ONonce > c_in > false__ > true__
% 0.21/0.41
% 0.21/0.41 % SZS output end Proof
% 0.21/0.41
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