TSTP Solution File: SWV779-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV779-1 : 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 : n015.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 23:06:15 EDT 2023
% Result : Unsatisfiable 6.70s 1.23s
% Output : Proof 6.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV779-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 07:21:10 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.70/1.23 Command-line arguments: --no-flatten-goal
% 6.70/1.23
% 6.70/1.23 % SZS status Unsatisfiable
% 6.70/1.23
% 6.70/1.24 % SZS output start Proof
% 6.70/1.24 Take the following subset of the input axioms:
% 6.70/1.24 fof(cls_Nil__is__rev__conv_1, axiom, ![T_a]: c_List_Olist_ONil(T_a)=hAPP(c_List_Orev(T_a), c_List_Olist_ONil(T_a))).
% 6.70/1.24 fof(cls_conjecture_0, negated_conjecture, c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_ONil(tc_Event_Oevent))!=c_Event_Oknows(c_Message_Oagent_OSpy, hAPP(c_List_Orev(tc_Event_Oevent), c_List_Olist_ONil(tc_Event_Oevent)))).
% 6.70/1.24
% 6.70/1.24 Now clausify the problem and encode Horn clauses using encoding 3 of
% 6.70/1.24 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 6.70/1.24 We repeatedly replace C & s=t => u=v by the two clauses:
% 6.70/1.24 fresh(y, y, x1...xn) = u
% 6.70/1.24 C => fresh(s, t, x1...xn) = v
% 6.70/1.24 where fresh is a fresh function symbol and x1..xn are the free
% 6.70/1.24 variables of u and v.
% 6.70/1.24 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 6.70/1.24 input problem has no model of domain size 1).
% 6.70/1.24
% 6.70/1.24 The encoding turns the above axioms into the following unit equations and goals:
% 6.70/1.24
% 6.70/1.24 Axiom 1 (cls_Nil__is__rev__conv_1): c_List_Olist_ONil(X) = hAPP(c_List_Orev(X), c_List_Olist_ONil(X)).
% 6.70/1.24
% 6.70/1.24 Goal 1 (cls_conjecture_0): c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy, hAPP(c_List_Orev(tc_Event_Oevent), c_List_Olist_ONil(tc_Event_Oevent))).
% 6.70/1.24 Proof:
% 6.70/1.24 c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_ONil(tc_Event_Oevent))
% 6.70/1.24 = { by axiom 1 (cls_Nil__is__rev__conv_1) }
% 6.70/1.24 c_Event_Oknows(c_Message_Oagent_OSpy, hAPP(c_List_Orev(tc_Event_Oevent), c_List_Olist_ONil(tc_Event_Oevent)))
% 6.70/1.24 % SZS output end Proof
% 6.70/1.24
% 6.70/1.24 RESULT: Unsatisfiable (the axioms are contradictory).
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