TSTP Solution File: NLP252-1 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : NLP252-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : 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 : 300s
% DateTime : Thu Aug 31 10:08:18 EDT 2023
% Result : Unsatisfiable 4.06s 0.92s
% Output : Proof 10.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP252-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 12:09:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.06/0.92 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 4.06/0.92
% 4.06/0.92 % SZS status Unsatisfiable
% 4.06/0.92
% 9.68/1.63 % SZS output start Proof
% 9.68/1.63 Take the following subset of the input axioms:
% 9.68/1.63 fof(clause31, axiom, ![U, V]: (~male(U, V) | ~unisex(U, V))).
% 9.68/1.63 fof(clause32, axiom, ![U2, V2]: (~general(U2, V2) | ~specific(U2, V2))).
% 9.68/1.63 fof(clause33, axiom, ![U2, V2]: (~human(U2, V2) | ~nonhuman(U2, V2))).
% 9.68/1.63 fof(clause34, axiom, ![U2, V2]: (~nonexistent(U2, V2) | ~existent(U2, V2))).
% 9.68/1.63 fof(clause52, axiom, ![W, U2, V2]: (~accessible_world(U2, V2) | (~man(U2, W) | man(V2, W)))).
% 9.68/1.63 fof(clause72, negated_conjecture, actual_world(skc8)).
% 9.68/1.63 fof(clause73, negated_conjecture, man(skc8, skc15)).
% 9.68/1.63 fof(clause74, negated_conjecture, forename(skc8, skc14)).
% 9.68/1.63 fof(clause75, negated_conjecture, vincent_forename(skc8, skc14)).
% 9.68/1.63 fof(clause76, negated_conjecture, event(skc8, skc13)).
% 9.68/1.63 fof(clause77, negated_conjecture, present(skc8, skc13)).
% 9.68/1.63 fof(clause78, negated_conjecture, think_believe_consider(skc8, skc13)).
% 9.68/1.63 fof(clause79, negated_conjecture, jules_forename(skc8, skc11)).
% 9.68/1.63 fof(clause80, negated_conjecture, forename(skc8, skc11)).
% 9.68/1.63 fof(clause81, negated_conjecture, man(skc8, skc10)).
% 9.68/1.63 fof(clause82, negated_conjecture, state(skc8, skc9)).
% 9.68/1.63 fof(clause83, negated_conjecture, accessible_world(skc8, skc12)).
% 9.68/1.63 fof(clause84, negated_conjecture, proposition(skc8, skc12)).
% 9.68/1.63 fof(clause85, negated_conjecture, of(skc8, skc14, skc15)).
% 9.68/1.63 fof(clause86, negated_conjecture, agent(skc8, skc13, skc15)).
% 9.68/1.63 fof(clause87, negated_conjecture, theme(skc8, skc13, skc12)).
% 9.68/1.63 fof(clause88, negated_conjecture, of(skc8, skc11, skc10)).
% 9.68/1.63 fof(clause89, negated_conjecture, be(skc8, skc9, skc10, skc10)).
% 9.68/1.63 fof(clause90, negated_conjecture, ![U2, V2]: (~man(skc12, U2) | smoke(skc12, skf2(V2)))).
% 9.68/1.63 fof(clause91, negated_conjecture, ![U2, V2]: (~man(skc12, U2) | present(skc12, skf2(V2)))).
% 9.68/1.63 fof(clause92, negated_conjecture, ![U2, V2]: (~man(skc12, U2) | event(skc12, skf2(V2)))).
% 9.68/1.63 fof(clause93, negated_conjecture, ![U2]: (~man(skc12, U2) | agent(skc12, skf2(U2), U2))).
% 9.68/1.63 fof(clause94, negated_conjecture, ![X, Y, Z, X1, X2, X3, X4, X5, X6, X7, U2, V2, W2]: (~accessible_world(U2, V2) | (~proposition(U2, V2) | (~theme(U2, W2, V2) | (~event(U2, W2) | (~present(U2, W2) | (~think_believe_consider(U2, W2) | (~forename(U2, X) | (~vincent_forename(U2, X) | (~of(U2, X, Y) | (~man(U2, Y) | (~agent(U2, W2, Y) | (~state(U2, Z) | (~smoke(X1, X2) | (~present(X1, X2) | (~agent(X1, X2, X3) | (~event(X1, X2) | (~be(U2, Z, X3, X3) | (~man(U2, X3) | (~of(U2, X4, X3) | (~jules_forename(U2, X4) | (~forename(U2, X4) | (~proposition(U2, X1) | (~accessible_world(U2, X1) | (~think_believe_consider(U2, X5) | (~present(U2, X5) | (~event(U2, X5) | (~theme(U2, X5, X1) | (~vincent_forename(U2, X6) | (~forename(U2, X6) | (~agent(U2, X5, X7) | (~man(U2, X7) | (~of(U2, X6, X7) | (~actual_world(U2) | man(V2, skf4(V2)))))))))))))))))))))))))))))))))))).
% 9.68/1.63 fof(clause95, negated_conjecture, ![X8, U2, V2, W2, X9, Y2, Z2, X1_2, X2_2, X3_2, X4_2, X5_2, X6_2, X7_2]: (~smoke(U2, V2) | (~present(U2, V2) | (~agent(U2, V2, skf4(U2)) | (~event(U2, V2) | (~accessible_world(W2, U2) | (~proposition(W2, U2) | (~theme(W2, X9, U2) | (~event(W2, X9) | (~present(W2, X9) | (~think_believe_consider(W2, X9) | (~forename(W2, Y2) | (~vincent_forename(W2, Y2) | (~of(W2, Y2, Z2) | (~man(W2, Z2) | (~agent(W2, X9, Z2) | (~state(W2, X1_2) | (~smoke(X2_2, X3_2) | (~present(X2_2, X3_2) | (~agent(X2_2, X3_2, X4_2) | (~event(X2_2, X3_2) | (~be(W2, X1_2, X4_2, X4_2) | (~man(W2, X4_2) | (~of(W2, X5_2, X4_2) | (~jules_forename(W2, X5_2) | (~forename(W2, X5_2) | (~proposition(W2, X2_2) | (~accessible_world(W2, X2_2) | (~think_believe_consider(W2, X6_2) | (~present(W2, X6_2) | (~event(W2, X6_2) | (~theme(W2, X6_2, X2_2) | (~vincent_forename(W2, X7_2) | (~forename(W2, X7_2) | (~agent(W2, X6_2, X8) | (~man(W2, X8) | (~of(W2, X7_2, X8) | ~actual_world(W2)))))))))))))))))))))))))))))))))))))).
% 9.68/1.63
% 9.68/1.63 Now clausify the problem and encode Horn clauses using encoding 3 of
% 9.68/1.63 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 9.68/1.63 We repeatedly replace C & s=t => u=v by the two clauses:
% 9.68/1.63 fresh(y, y, x1...xn) = u
% 9.68/1.63 C => fresh(s, t, x1...xn) = v
% 9.68/1.63 where fresh is a fresh function symbol and x1..xn are the free
% 9.68/1.63 variables of u and v.
% 9.68/1.63 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 9.68/1.63 input problem has no model of domain size 1).
% 9.68/1.63
% 9.68/1.63 The encoding turns the above axioms into the following unit equations and goals:
% 9.68/1.63
% 9.68/1.63 Axiom 1 (clause72): actual_world(skc8) = true2.
% 9.68/1.63 Axiom 2 (clause79): jules_forename(skc8, skc11) = true2.
% 9.68/1.63 Axiom 3 (clause82): state(skc8, skc9) = true2.
% 9.68/1.63 Axiom 4 (clause75): vincent_forename(skc8, skc14) = true2.
% 9.68/1.63 Axiom 5 (clause78): think_believe_consider(skc8, skc13) = true2.
% 9.68/1.63 Axiom 6 (clause84): proposition(skc8, skc12) = true2.
% 9.68/1.63 Axiom 7 (clause77): present(skc8, skc13) = true2.
% 9.68/1.63 Axiom 8 (clause76): event(skc8, skc13) = true2.
% 9.68/1.63 Axiom 9 (clause74): forename(skc8, skc14) = true2.
% 9.68/1.63 Axiom 10 (clause80): forename(skc8, skc11) = true2.
% 9.68/1.63 Axiom 11 (clause73): man(skc8, skc15) = true2.
% 9.68/1.63 Axiom 12 (clause81): man(skc8, skc10) = true2.
% 9.68/1.63 Axiom 13 (clause83): accessible_world(skc8, skc12) = true2.
% 9.68/1.63 Axiom 14 (clause94): fresh136(X, X, Y) = true2.
% 9.68/1.63 Axiom 15 (clause90): fresh5(X, X, Y) = true2.
% 9.68/1.63 Axiom 16 (clause91): fresh4(X, X, Y) = true2.
% 9.68/1.63 Axiom 17 (clause92): fresh3(X, X, Y) = true2.
% 9.68/1.63 Axiom 18 (clause93): fresh2(X, X, Y) = true2.
% 9.68/1.63 Axiom 19 (clause87): theme(skc8, skc13, skc12) = true2.
% 9.68/1.63 Axiom 20 (clause85): of(skc8, skc14, skc15) = true2.
% 9.68/1.63 Axiom 21 (clause88): of(skc8, skc11, skc10) = true2.
% 9.68/1.63 Axiom 22 (clause86): agent(skc8, skc13, skc15) = true2.
% 9.68/1.63 Axiom 23 (clause52): fresh44(X, X, Y, Z) = true2.
% 9.68/1.63 Axiom 24 (clause89): be(skc8, skc9, skc10, skc10) = true2.
% 9.68/1.63 Axiom 25 (clause94): fresh134(X, X, Y, Z, W) = man(Y, skf4(Y)).
% 9.68/1.63 Axiom 26 (clause52): fresh45(X, X, Y, Z, W) = man(Z, W).
% 9.68/1.63 Axiom 27 (clause90): fresh5(man(skc12, X), true2, Y) = smoke(skc12, skf2(Y)).
% 9.68/1.63 Axiom 28 (clause91): fresh4(man(skc12, X), true2, Y) = present(skc12, skf2(Y)).
% 9.68/1.63 Axiom 29 (clause92): fresh3(man(skc12, X), true2, Y) = event(skc12, skf2(Y)).
% 9.68/1.63 Axiom 30 (clause93): fresh2(man(skc12, X), true2, X) = agent(skc12, skf2(X), X).
% 9.68/1.63 Axiom 31 (clause94): fresh135(X, X, Y, Z, W, V, U) = fresh136(smoke(V, U), true2, Z).
% 9.68/1.63 Axiom 32 (clause52): fresh45(accessible_world(X, Y), true2, X, Y, Z) = fresh44(man(X, Z), true2, Y, Z).
% 9.68/1.63 Axiom 33 (clause94): fresh133(X, X, Y, Z, W, V, U, T) = fresh134(event(Y, W), true2, Z, V, T).
% 9.68/1.63 Axiom 34 (clause94): fresh132(X, X, Y, Z, W, V, U, T) = fresh135(event(Y, U), true2, Y, Z, W, V, T).
% 9.68/1.63 Axiom 35 (clause94): fresh131(X, X, Y, Z, W, V, U, T) = fresh133(event(V, T), true2, Y, Z, W, V, U, T).
% 9.68/1.64 Axiom 36 (clause94): fresh130(X, X, Y, Z, W, V, U, T) = fresh132(proposition(Y, Z), true2, Y, Z, W, V, U, T).
% 9.68/1.64 Axiom 37 (clause94): fresh129(X, X, Y, Z, W, V, U, T, S) = fresh131(proposition(Y, U), true2, Y, Z, W, U, T, S).
% 9.68/1.64 Axiom 38 (clause94): fresh128(X, X, Y, Z, W, V, U, T, S, X2) = fresh130(state(Y, U), true2, Y, Z, W, T, S, X2).
% 9.68/1.64 Axiom 39 (clause94): fresh127(X, X, Y, Z, W, V, U, T, S, X2, Y2) = fresh129(man(Y, V), true2, Y, Z, W, U, T, X2, Y2).
% 9.68/1.64 Axiom 40 (clause94): fresh126(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh128(man(Y, S), true2, Y, Z, W, V, U, T, X2, Z2).
% 9.68/1.64 Axiom 41 (clause94): fresh125(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh127(man(Y, Z2), true2, Y, Z, W, U, T, S, X2, Y2, W2).
% 9.68/1.64 Axiom 42 (clause94): fresh124(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2) = fresh126(forename(Y, V), true2, Y, Z, W, U, T, S, X2, Z2, W2, V2).
% 9.68/1.64 Axiom 43 (clause94): fresh123(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh125(forename(Y, Y2), true2, Y, Z, W, V, U, T, S, X2, Z2, V2, U2).
% 9.68/1.64 Axiom 44 (clause94): fresh122(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh124(forename(Y, W2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, V2, U2).
% 9.68/1.64 Axiom 45 (clause94): fresh121(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh123(vincent_forename(Y, V), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 46 (clause94): fresh120(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh122(vincent_forename(Y, W2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 47 (clause94): fresh119(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh121(jules_forename(Y, Y2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 48 (clause94): fresh118(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh119(accessible_world(Y, Z), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 49 (clause94): fresh117(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh118(accessible_world(Y, S), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 50 (clause94): fresh116(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh117(present(Y, W), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 51 (clause94): fresh115(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh116(present(Y, Z2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 52 (clause94): fresh114(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh115(present(S, U2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 53 (clause94): fresh113(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh114(think_believe_consider(Y, W), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 54 (clause94): fresh112(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh113(think_believe_consider(Y, Z2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 55 (clause94): fresh111(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh112(agent(Y, W, U), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 56 (clause94): fresh110(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh111(agent(Y, Z2, V2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 57 (clause94): fresh109(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh110(agent(S, U2, X2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 58 (clause94): fresh108(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh109(theme(Y, W, Z), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 59 (clause94): fresh107(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh108(theme(Y, Z2, S), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 60 (clause94): fresh106(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh107(of(Y, V, U), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 61 (clause94): fresh105(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh106(of(Y, Y2, X2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 62 (clause94): fresh104(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2) = fresh105(of(Y, W2, V2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2).
% 9.68/1.64 Axiom 63 (clause94): fresh104(actual_world(X), true2, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2) = fresh120(be(X, U, S, S), true2, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2).
% 9.68/1.64
% 9.68/1.64 Lemma 64: fresh44(man(skc8, X), true2, skc12, X) = man(skc12, X).
% 9.68/1.64 Proof:
% 9.68/1.64 fresh44(man(skc8, X), true2, skc12, X)
% 9.68/1.64 = { by axiom 32 (clause52) R->L }
% 9.68/1.64 fresh45(accessible_world(skc8, skc12), true2, skc8, skc12, X)
% 9.68/1.64 = { by axiom 13 (clause83) }
% 9.68/1.64 fresh45(true2, true2, skc8, skc12, X)
% 9.68/1.64 = { by axiom 26 (clause52) }
% 9.68/1.64 man(skc12, X)
% 9.68/1.64
% 9.68/1.64 Lemma 65: man(skc12, skc15) = true2.
% 9.68/1.64 Proof:
% 9.68/1.64 man(skc12, skc15)
% 9.68/1.64 = { by lemma 64 R->L }
% 9.68/1.64 fresh44(man(skc8, skc15), true2, skc12, skc15)
% 9.68/1.64 = { by axiom 11 (clause73) }
% 9.68/1.64 fresh44(true2, true2, skc12, skc15)
% 9.68/1.64 = { by axiom 23 (clause52) }
% 9.68/1.64 true2
% 9.68/1.64
% 9.68/1.64 Lemma 66: smoke(skc12, skf2(X)) = true2.
% 9.68/1.64 Proof:
% 9.68/1.64 smoke(skc12, skf2(X))
% 9.68/1.64 = { by axiom 27 (clause90) R->L }
% 9.68/1.64 fresh5(man(skc12, skc15), true2, X)
% 9.68/1.64 = { by lemma 65 }
% 9.68/1.64 fresh5(true2, true2, X)
% 9.68/1.64 = { by axiom 15 (clause90) }
% 9.68/1.64 true2
% 9.68/1.64
% 9.68/1.64 Lemma 67: event(skc12, skf2(X)) = true2.
% 9.68/1.64 Proof:
% 9.68/1.64 event(skc12, skf2(X))
% 9.68/1.64 = { by axiom 29 (clause92) R->L }
% 9.68/1.64 fresh3(man(skc12, skc15), true2, X)
% 9.68/1.64 = { by lemma 65 }
% 9.68/1.64 fresh3(true2, true2, X)
% 9.68/1.64 = { by axiom 17 (clause92) }
% 9.68/1.64 true2
% 9.68/1.64
% 9.68/1.64 Lemma 68: present(skc12, skf2(X)) = true2.
% 9.68/1.64 Proof:
% 9.68/1.64 present(skc12, skf2(X))
% 9.68/1.64 = { by axiom 28 (clause91) R->L }
% 9.68/1.64 fresh4(man(skc12, skc15), true2, X)
% 9.68/1.64 = { by lemma 65 }
% 9.68/1.64 fresh4(true2, true2, X)
% 9.68/1.64 = { by axiom 16 (clause91) }
% 9.68/1.64 true2
% 9.68/1.64
% 9.68/1.64 Lemma 69: agent(skc12, skf2(skc10), skc10) = true2.
% 9.68/1.64 Proof:
% 9.68/1.64 agent(skc12, skf2(skc10), skc10)
% 9.68/1.64 = { by axiom 30 (clause93) R->L }
% 9.68/1.64 fresh2(man(skc12, skc10), true2, skc10)
% 9.68/1.64 = { by lemma 64 R->L }
% 9.68/1.64 fresh2(fresh44(man(skc8, skc10), true2, skc12, skc10), true2, skc10)
% 9.68/1.64 = { by axiom 12 (clause81) }
% 9.68/1.64 fresh2(fresh44(true2, true2, skc12, skc10), true2, skc10)
% 9.68/1.64 = { by axiom 23 (clause52) }
% 9.68/1.64 fresh2(true2, true2, skc10)
% 9.68/1.64 = { by axiom 18 (clause93) }
% 9.68/1.64 true2
% 9.68/1.64
% 9.68/1.64 Goal 1 (clause95): tuple(smoke(X, Y), smoke(Z, W), event(X, Y), event(V, U), event(V, T), event(Z, W), proposition(V, X), proposition(V, Z), state(V, S), man(V, X2), man(V, Y2), man(V, Z2), forename(V, W2), forename(V, V2), forename(V, U2), vincent_forename(V, W2), vincent_forename(V, U2), jules_forename(V, V2), be(V, S, Y2, Y2), accessible_world(V, X), accessible_world(V, Z), present(X, Y), present(V, U), present(V, T), present(Z, W), think_believe_consider(V, U), think_believe_consider(V, T), agent(X, Y, skf4(X)), agent(V, U, X2), agent(V, T, Z2), agent(Z, W, Y2), theme(V, U, X), theme(V, T, Z), of(V, W2, X2), of(V, V2, Y2), of(V, U2, Z2), actual_world(V)) = tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2).
% 9.68/1.64 The goal is true when:
% 9.68/1.64 X = skc12
% 9.68/1.64 Y = skf2(skf4(skc12))
% 9.68/1.64 Z = skc12
% 9.68/1.64 W = skf2(skc10)
% 9.68/1.64 V = skc8
% 9.68/1.64 U = skc13
% 9.68/1.64 T = skc13
% 9.68/1.64 S = skc9
% 9.68/1.64 X2 = skc15
% 9.68/1.64 Y2 = skc10
% 9.68/1.64 Z2 = skc15
% 9.68/1.64 W2 = skc14
% 9.68/1.64 V2 = skc11
% 9.68/1.64 U2 = skc14
% 9.68/1.64
% 9.68/1.64 Proof:
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc15), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 9.68/1.64 = { by axiom 24 (clause89) }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc15), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 9.68/1.64 = { by axiom 3 (clause82) }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 9.68/1.64 = { by axiom 12 (clause81) }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 9.68/1.64 = { by axiom 1 (clause72) }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.64 = { by axiom 30 (clause93) R->L }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(man(skc12, skf4(skc12)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.64 = { by axiom 25 (clause94) R->L }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh134(true2, true2, skc12, skc12, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.64 = { by axiom 8 (clause76) R->L }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh134(event(skc8, skc13), true2, skc12, skc12, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.64 = { by axiom 33 (clause94) R->L }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh133(true2, true2, skc8, skc12, skc13, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.64 = { by lemma 67 R->L }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh133(event(skc12, skf2(skc10)), true2, skc8, skc12, skc13, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.64 = { by axiom 35 (clause94) R->L }
% 9.68/1.64 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh131(true2, true2, skc8, skc12, skc13, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 6 (clause84) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh131(proposition(skc8, skc12), true2, skc8, skc12, skc13, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 37 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh129(true2, true2, skc8, skc12, skc13, skc9, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 11 (clause73) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh129(man(skc8, skc15), true2, skc8, skc12, skc13, skc9, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 39 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh127(true2, true2, skc8, skc12, skc13, skc15, skc9, skc12, skc10, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 11 (clause73) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh127(man(skc8, skc15), true2, skc8, skc12, skc13, skc15, skc9, skc12, skc10, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 41 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh125(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 10 (clause80) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh125(forename(skc8, skc11), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 43 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh123(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 4 (clause75) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh123(vincent_forename(skc8, skc14), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 45 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh121(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 2 (clause79) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh121(jules_forename(skc8, skc11), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 47 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh119(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 13 (clause83) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh119(accessible_world(skc8, skc12), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 48 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh118(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 13 (clause83) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh118(accessible_world(skc8, skc12), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 49 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh117(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 7 (clause77) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh117(present(skc8, skc13), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 50 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh116(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 7 (clause77) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh116(present(skc8, skc13), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 51 (clause94) R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh115(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by lemma 68 R->L }
% 9.68/1.65 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh115(present(skc12, skf2(skc10)), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.65 = { by axiom 52 (clause94) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh114(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by axiom 5 (clause78) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh114(think_believe_consider(skc8, skc13), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by axiom 53 (clause94) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh113(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by axiom 5 (clause78) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh113(think_believe_consider(skc8, skc13), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by axiom 54 (clause94) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh112(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by axiom 22 (clause86) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh112(agent(skc8, skc13, skc15), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by axiom 55 (clause94) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh111(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by axiom 22 (clause86) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh111(agent(skc8, skc13, skc15), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by axiom 56 (clause94) R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh110(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.66 = { by lemma 69 R->L }
% 9.68/1.66 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh110(agent(skc12, skf2(skc10), skc10), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 57 (clause94) R->L }
% 9.68/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh109(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 19 (clause87) R->L }
% 9.68/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh109(theme(skc8, skc13, skc12), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 58 (clause94) R->L }
% 9.68/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh108(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 19 (clause87) R->L }
% 9.68/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh108(theme(skc8, skc13, skc12), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 59 (clause94) R->L }
% 9.68/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh107(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 20 (clause85) R->L }
% 9.68/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh107(of(skc8, skc14, skc15), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 60 (clause94) R->L }
% 9.68/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh106(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 21 (clause88) R->L }
% 9.68/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh106(of(skc8, skc11, skc10), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 9.68/1.67 = { by axiom 61 (clause94) R->L }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh105(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 20 (clause85) R->L }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh105(of(skc8, skc14, skc15), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 62 (clause94) R->L }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh104(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 1 (clause72) R->L }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh104(actual_world(skc8), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 63 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh120(be(skc8, skc9, skc10, skc10), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 24 (clause89) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh120(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 46 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh122(vincent_forename(skc8, skc14), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 4 (clause75) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh122(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc14, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 44 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh124(forename(skc8, skc14), true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 9 (clause74) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh124(true2, true2, skc8, skc12, skc13, skc14, skc15, skc9, skc12, skc10, skc11, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 42 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh126(forename(skc8, skc14), true2, skc8, skc12, skc13, skc15, skc9, skc12, skc10, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 9 (clause74) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh126(true2, true2, skc8, skc12, skc13, skc15, skc9, skc12, skc10, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 40 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh128(man(skc8, skc10), true2, skc8, skc12, skc13, skc15, skc9, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 12 (clause81) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh128(true2, true2, skc8, skc12, skc13, skc15, skc9, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 38 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh130(state(skc8, skc9), true2, skc8, skc12, skc13, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 3 (clause82) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh130(true2, true2, skc8, skc12, skc13, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 36 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh132(proposition(skc8, skc12), true2, skc8, skc12, skc13, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 6 (clause84) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh132(true2, true2, skc8, skc12, skc13, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 34 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh135(event(skc8, skc13), true2, skc8, skc12, skc13, skc12, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 8 (clause76) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh135(true2, true2, skc8, skc12, skc13, skc12, skf2(skc10)), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 31 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh136(smoke(skc12, skf2(skc10)), true2, skc12), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by lemma 66 }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(fresh136(true2, true2, skc12), true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 14 (clause94) }
% 10.17/1.67 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), fresh2(true2, true2, skf4(skc12)), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.67 = { by axiom 18 (clause93) }
% 10.17/1.68 tuple(smoke(skc12, skf2(skf4(skc12))), smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by lemma 66 }
% 10.17/1.68 tuple(true2, smoke(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by lemma 67 }
% 10.17/1.68 tuple(true2, smoke(skc12, skf2(skc10)), true2, event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), proposition(skc8, skc12), proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 6 (clause84) }
% 10.17/1.68 tuple(true2, smoke(skc12, skf2(skc10)), true2, event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), true2, proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, accessible_world(skc8, skc12), accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 13 (clause83) }
% 10.17/1.68 tuple(true2, smoke(skc12, skf2(skc10)), true2, event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), true2, proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, accessible_world(skc8, skc12), present(skc12, skf2(skf4(skc12))), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by lemma 68 }
% 10.17/1.68 tuple(true2, smoke(skc12, skf2(skc10)), true2, event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), true2, proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, accessible_world(skc8, skc12), true2, present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by lemma 69 }
% 10.17/1.68 tuple(true2, smoke(skc12, skf2(skc10)), true2, event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), true2, proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, accessible_world(skc8, skc12), true2, present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by lemma 66 }
% 10.17/1.68 tuple(true2, true2, true2, event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), true2, proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, accessible_world(skc8, skc12), true2, present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by lemma 67 }
% 10.17/1.68 tuple(true2, true2, true2, event(skc8, skc13), event(skc8, skc13), true2, true2, proposition(skc8, skc12), true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, accessible_world(skc8, skc12), true2, present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 6 (clause84) }
% 10.17/1.68 tuple(true2, true2, true2, event(skc8, skc13), event(skc8, skc13), true2, true2, true2, true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, accessible_world(skc8, skc12), true2, present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 13 (clause83) }
% 10.17/1.68 tuple(true2, true2, true2, event(skc8, skc13), event(skc8, skc13), true2, true2, true2, true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by lemma 68 }
% 10.17/1.68 tuple(true2, true2, true2, event(skc8, skc13), event(skc8, skc13), true2, true2, true2, true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, present(skc8, skc13), present(skc8, skc13), true2, think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 22 (clause86) }
% 10.17/1.68 tuple(true2, true2, true2, event(skc8, skc13), event(skc8, skc13), true2, true2, true2, true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, present(skc8, skc13), present(skc8, skc13), true2, think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, true2, agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 8 (clause76) }
% 10.17/1.68 tuple(true2, true2, true2, true2, event(skc8, skc13), true2, true2, true2, true2, man(skc8, skc15), true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, present(skc8, skc13), present(skc8, skc13), true2, think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, true2, agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 11 (clause73) }
% 10.17/1.68 tuple(true2, true2, true2, true2, event(skc8, skc13), true2, true2, true2, true2, true2, true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, present(skc8, skc13), present(skc8, skc13), true2, think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, true2, agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 7 (clause77) }
% 10.17/1.68 tuple(true2, true2, true2, true2, event(skc8, skc13), true2, true2, true2, true2, true2, true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, present(skc8, skc13), true2, think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), true2, true2, agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 5 (clause78) }
% 10.17/1.68 tuple(true2, true2, true2, true2, event(skc8, skc13), true2, true2, true2, true2, true2, true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, present(skc8, skc13), true2, true2, think_believe_consider(skc8, skc13), true2, true2, agent(skc8, skc13, skc15), true2, theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 19 (clause87) }
% 10.17/1.68 tuple(true2, true2, true2, true2, event(skc8, skc13), true2, true2, true2, true2, true2, true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, present(skc8, skc13), true2, true2, think_believe_consider(skc8, skc13), true2, true2, agent(skc8, skc13, skc15), true2, true2, theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 22 (clause86) }
% 10.17/1.68 tuple(true2, true2, true2, true2, event(skc8, skc13), true2, true2, true2, true2, true2, true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, present(skc8, skc13), true2, true2, think_believe_consider(skc8, skc13), true2, true2, true2, true2, true2, theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 8 (clause76) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, man(skc8, skc15), forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, present(skc8, skc13), true2, true2, think_believe_consider(skc8, skc13), true2, true2, true2, true2, true2, theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 11 (clause73) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, present(skc8, skc13), true2, true2, think_believe_consider(skc8, skc13), true2, true2, true2, true2, true2, theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 7 (clause77) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, true2, true2, true2, think_believe_consider(skc8, skc13), true2, true2, true2, true2, true2, theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 5 (clause78) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, theme(skc8, skc13, skc12), of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 19 (clause87) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 2 (clause79) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 10 (clause80) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), true2, forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 21 (clause88) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), true2, forename(skc8, skc14), vincent_forename(skc8, skc14), vincent_forename(skc8, skc14), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), true2, of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 4 (clause75) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), true2, forename(skc8, skc14), true2, vincent_forename(skc8, skc14), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), true2, of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 9 (clause74) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), true2, vincent_forename(skc8, skc14), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), true2, of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 20 (clause85) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), true2, vincent_forename(skc8, skc14), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 4 (clause75) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, forename(skc8, skc14), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 9 (clause74) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc14, skc15), true2)
% 10.17/1.68 = { by axiom 20 (clause85) }
% 10.17/1.68 tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2)
% 10.17/1.68 % SZS output end Proof
% 10.17/1.68
% 10.17/1.68 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------