TSTP Solution File: SWV320-2 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV320-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 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 : 300s
% DateTime : Thu Aug 31 23:03:40 EDT 2023
% Result : Unsatisfiable 0.13s 0.31s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWV320-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Aug 29 09:30:46 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.13/0.31 Command-line arguments: --no-flatten-goal
% 0.13/0.31
% 0.13/0.31 % SZS status Unsatisfiable
% 0.13/0.31
% 0.13/0.31 % SZS output start Proof
% 0.13/0.31 Take the following subset of the input axioms:
% 0.13/0.31 fof(cls_OtwayRees_OSpy__see__shrK_0, axiom, ![V_evs, V_A]: (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) | c_in(V_A, c_Event_Obad, tc_Message_Oagent)))).
% 0.13/0.31 fof(cls_conjecture_0, negated_conjecture, c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)).
% 0.13/0.31 fof(cls_conjecture_1, negated_conjecture, c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))).
% 0.13/0.31 fof(cls_conjecture_2, negated_conjecture, ~c_in(v_A, c_Event_Obad, tc_Message_Oagent)).
% 0.13/0.31
% 0.13/0.31 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.13/0.31 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.13/0.31 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.13/0.31 fresh(y, y, x1...xn) = u
% 0.13/0.31 C => fresh(s, t, x1...xn) = v
% 0.13/0.31 where fresh is a fresh function symbol and x1..xn are the free
% 0.13/0.31 variables of u and v.
% 0.13/0.31 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.13/0.31 input problem has no model of domain size 1).
% 0.13/0.31
% 0.13/0.31 The encoding turns the above axioms into the following unit equations and goals:
% 0.13/0.31
% 0.13/0.31 Axiom 1 (cls_OtwayRees_OSpy__see__shrK_0): fresh2(X, X, Y) = true.
% 0.13/0.31 Axiom 2 (cls_OtwayRees_OSpy__see__shrK_0): fresh(X, X, Y, Z) = c_in(Z, c_Event_Obad, tc_Message_Oagent).
% 0.13/0.31 Axiom 3 (cls_conjecture_1): c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) = true.
% 0.13/0.31 Axiom 4 (cls_conjecture_0): c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) = true.
% 0.13/0.32 Axiom 5 (cls_OtwayRees_OSpy__see__shrK_0): fresh(c_in(c_Message_Omsg_OKey(c_Public_OshrK(X)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, Y)), tc_Message_Omsg), true, Y, X) = fresh2(c_in(Y, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), true, X).
% 0.13/0.32
% 0.13/0.32 Goal 1 (cls_conjecture_2): c_in(v_A, c_Event_Obad, tc_Message_Oagent) = true.
% 0.13/0.32 Proof:
% 0.13/0.32 c_in(v_A, c_Event_Obad, tc_Message_Oagent)
% 0.13/0.32 = { by axiom 2 (cls_OtwayRees_OSpy__see__shrK_0) R->L }
% 0.13/0.32 fresh(true, true, v_evs, v_A)
% 0.13/0.32 = { by axiom 4 (cls_conjecture_0) R->L }
% 0.13/0.32 fresh(c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg), true, v_evs, v_A)
% 0.13/0.32 = { by axiom 5 (cls_OtwayRees_OSpy__see__shrK_0) }
% 0.13/0.32 fresh2(c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), true, v_A)
% 0.13/0.32 = { by axiom 3 (cls_conjecture_1) }
% 0.13/0.32 fresh2(true, true, v_A)
% 0.13/0.32 = { by axiom 1 (cls_OtwayRees_OSpy__see__shrK_0) }
% 0.13/0.32 true
% 0.13/0.32 % SZS output end Proof
% 0.13/0.32
% 0.13/0.32 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------