TSTP Solution File: SWV774-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV774-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n020.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 23:06:13 EDT 2023
% Result : Unsatisfiable 8.07s 1.43s
% Output : Proof 8.07s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV774-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n020.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 : 300
% 0.14/0.35 % DateTime : Tue Aug 29 04:48:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 8.07/1.43 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 8.07/1.43
% 8.07/1.43 % SZS status Unsatisfiable
% 8.07/1.43
% 8.07/1.43 % SZS output start Proof
% 8.07/1.43 Take the following subset of the input axioms:
% 8.07/1.44 fof(cls_append__Nil_0, axiom, ![T_a, V_ys]: c_List_Oappend(c_List_Olist_ONil(T_a), V_ys, T_a)=V_ys).
% 8.07/1.44 fof(cls_conjecture_0, negated_conjecture, c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent), c_List_Olist_OCons(c_Event_Oevent_OGets(v_A, v_X), c_List_Olist_ONil(tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent))!=c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_ONil(tc_Event_Oevent))).
% 8.07/1.44 fof(cls_knows__Spy__Gets_0, axiom, ![V_A, V_X, V_evs]: c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_OCons(c_Event_Oevent_OGets(V_A, V_X), V_evs, tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)).
% 8.07/1.44
% 8.07/1.44 Now clausify the problem and encode Horn clauses using encoding 3 of
% 8.07/1.44 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 8.07/1.44 We repeatedly replace C & s=t => u=v by the two clauses:
% 8.07/1.44 fresh(y, y, x1...xn) = u
% 8.07/1.44 C => fresh(s, t, x1...xn) = v
% 8.07/1.44 where fresh is a fresh function symbol and x1..xn are the free
% 8.07/1.44 variables of u and v.
% 8.07/1.44 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 8.07/1.44 input problem has no model of domain size 1).
% 8.07/1.44
% 8.07/1.44 The encoding turns the above axioms into the following unit equations and goals:
% 8.07/1.44
% 8.07/1.44 Axiom 1 (cls_append__Nil_0): c_List_Oappend(c_List_Olist_ONil(X), Y, X) = Y.
% 8.07/1.44 Axiom 2 (cls_knows__Spy__Gets_0): c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_OCons(c_Event_Oevent_OGets(X, Y), Z, tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy, Z).
% 8.07/1.44
% 8.07/1.44 Goal 1 (cls_conjecture_0): c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent), c_List_Olist_OCons(c_Event_Oevent_OGets(v_A, v_X), c_List_Olist_ONil(tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_ONil(tc_Event_Oevent)).
% 8.07/1.44 Proof:
% 8.07/1.44 c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent), c_List_Olist_OCons(c_Event_Oevent_OGets(v_A, v_X), c_List_Olist_ONil(tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent))
% 8.07/1.44 = { by axiom 1 (cls_append__Nil_0) }
% 8.07/1.44 c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_OCons(c_Event_Oevent_OGets(v_A, v_X), c_List_Olist_ONil(tc_Event_Oevent), tc_Event_Oevent))
% 8.07/1.44 = { by axiom 2 (cls_knows__Spy__Gets_0) }
% 8.07/1.44 c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_ONil(tc_Event_Oevent))
% 8.07/1.44 % SZS output end Proof
% 8.07/1.44
% 8.07/1.44 RESULT: Unsatisfiable (the axioms are contradictory).
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