TSTP Solution File: NLP258-1 by Twee---2.4.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : NLP258-1 : 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 : n001.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 10:08:20 EDT 2023

% Result   : Unsatisfiable 4.01s 0.90s
% Output   : Proof 4.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : NLP258-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35  % Computer : n001.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 12:12:56 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 4.01/0.90  Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 4.01/0.90  
% 4.01/0.90  % SZS status Unsatisfiable
% 4.01/0.90  
% 4.87/1.23  % SZS output start Proof
% 4.87/1.23  Take the following subset of the input axioms:
% 4.87/1.23    fof(clause31, axiom, ![U, V]: (~male(U, V) | ~unisex(U, V))).
% 4.87/1.23    fof(clause32, axiom, ![U2, V2]: (~general(U2, V2) | ~specific(U2, V2))).
% 4.87/1.23    fof(clause33, axiom, ![U2, V2]: (~human(U2, V2) | ~nonhuman(U2, V2))).
% 4.87/1.23    fof(clause34, axiom, ![U2, V2]: (~nonexistent(U2, V2) | ~existent(U2, V2))).
% 4.87/1.23    fof(clause52, axiom, ![W, U2, V2]: (~accessible_world(U2, V2) | (~man(U2, W) | man(V2, W)))).
% 4.87/1.23    fof(clause72, negated_conjecture, actual_world(skc8)).
% 4.87/1.23    fof(clause73, negated_conjecture, man(skc8, skc15)).
% 4.87/1.23    fof(clause74, negated_conjecture, forename(skc8, skc14)).
% 4.87/1.23    fof(clause75, negated_conjecture, vincent_forename(skc8, skc14)).
% 4.87/1.23    fof(clause76, negated_conjecture, event(skc8, skc13)).
% 4.87/1.23    fof(clause77, negated_conjecture, present(skc8, skc13)).
% 4.87/1.23    fof(clause78, negated_conjecture, think_believe_consider(skc8, skc13)).
% 4.87/1.23    fof(clause79, negated_conjecture, jules_forename(skc8, skc11)).
% 4.87/1.23    fof(clause80, negated_conjecture, forename(skc8, skc11)).
% 4.87/1.23    fof(clause81, negated_conjecture, man(skc8, skc10)).
% 4.87/1.23    fof(clause82, negated_conjecture, state(skc8, skc9)).
% 4.87/1.23    fof(clause83, negated_conjecture, accessible_world(skc8, skc12)).
% 4.87/1.23    fof(clause84, negated_conjecture, proposition(skc8, skc12)).
% 4.87/1.23    fof(clause85, negated_conjecture, of(skc8, skc14, skc15)).
% 4.87/1.23    fof(clause86, negated_conjecture, agent(skc8, skc13, skc15)).
% 4.87/1.23    fof(clause87, negated_conjecture, theme(skc8, skc13, skc12)).
% 4.87/1.23    fof(clause88, negated_conjecture, of(skc8, skc11, skc10)).
% 4.87/1.23    fof(clause89, negated_conjecture, be(skc8, skc9, skc10, skc10)).
% 4.87/1.23    fof(clause90, negated_conjecture, ![U2, V2]: (~man(skc12, U2) | smoke(skc12, skf2(V2)))).
% 4.87/1.23    fof(clause91, negated_conjecture, ![U2, V2]: (~man(skc12, U2) | present(skc12, skf2(V2)))).
% 4.87/1.23    fof(clause92, negated_conjecture, ![U2, V2]: (~man(skc12, U2) | event(skc12, skf2(V2)))).
% 4.87/1.23    fof(clause93, negated_conjecture, ![U2]: (~man(skc12, U2) | agent(skc12, skf2(U2), U2))).
% 4.87/1.23    fof(clause94, negated_conjecture, ![X, Y, Z, X1, X2, X3, X4, X5, U2, V2, W2]: (~state(U2, V2) | (~man(U2, W2) | (~be(U2, V2, W2, W2) | (~smoke(X, Y) | (~present(X, Y) | (~agent(X, Y, W2) | (~event(X, Y) | (~forename(U2, Z) | (~jules_forename(U2, Z) | (~of(U2, Z, W2) | (~accessible_world(U2, X) | (~proposition(U2, X) | (~proposition(U2, X1) | (~accessible_world(U2, X1) | (~think_believe_consider(U2, X2) | (~present(U2, X2) | (~event(U2, X2) | (~theme(U2, X2, X1) | (~agent(U2, X3, X4) | (~agent(U2, X2, X4) | (~man(U2, X4) | (~of(U2, X5, X4) | (~vincent_forename(U2, X5) | (~forename(U2, X5) | (~theme(U2, X3, X) | (~event(U2, X3) | (~present(U2, X3) | (~think_believe_consider(U2, X3) | (~actual_world(U2) | man(X1, skf4(X1)))))))))))))))))))))))))))))))).
% 4.87/1.23    fof(clause95, negated_conjecture, ![X6, U2, V2, W2, X7, Y2, Z2, X1_2, X2_2, X3_2, X4_2, X5_2]: (~state(U2, V2) | (~man(U2, W2) | (~be(U2, V2, W2, W2) | (~smoke(X7, Y2) | (~present(X7, Y2) | (~agent(X7, Y2, W2) | (~event(X7, Y2) | (~forename(U2, Z2) | (~jules_forename(U2, Z2) | (~of(U2, Z2, W2) | (~accessible_world(U2, X7) | (~proposition(U2, X7) | (~proposition(U2, X1_2) | (~accessible_world(U2, X1_2) | (~smoke(X1_2, X2_2) | (~present(X1_2, X2_2) | (~agent(X1_2, X2_2, skf4(X1_2)) | (~event(X1_2, X2_2) | (~think_believe_consider(U2, X3_2) | (~present(U2, X3_2) | (~event(U2, X3_2) | (~theme(U2, X3_2, X1_2) | (~agent(U2, X4_2, X5_2) | (~agent(U2, X3_2, X5_2) | (~man(U2, X5_2) | (~of(U2, X6, X5_2) | (~vincent_forename(U2, X6) | (~forename(U2, X6) | (~theme(U2, X4_2, X7) | (~event(U2, X4_2) | (~present(U2, X4_2) | (~think_believe_consider(U2, X4_2) | ~actual_world(U2)))))))))))))))))))))))))))))))))).
% 4.87/1.23  
% 4.87/1.23  Now clausify the problem and encode Horn clauses using encoding 3 of
% 4.87/1.23  http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 4.87/1.23  We repeatedly replace C & s=t => u=v by the two clauses:
% 4.87/1.23    fresh(y, y, x1...xn) = u
% 4.87/1.23    C => fresh(s, t, x1...xn) = v
% 4.87/1.23  where fresh is a fresh function symbol and x1..xn are the free
% 4.87/1.23  variables of u and v.
% 4.87/1.23  A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 4.87/1.23  input problem has no model of domain size 1).
% 4.87/1.23  
% 4.87/1.23  The encoding turns the above axioms into the following unit equations and goals:
% 4.87/1.23  
% 4.87/1.23  Axiom 1 (clause72): actual_world(skc8) = true2.
% 4.87/1.23  Axiom 2 (clause83): accessible_world(skc8, skc12) = true2.
% 4.87/1.23  Axiom 3 (clause81): man(skc8, skc10) = true2.
% 4.87/1.23  Axiom 4 (clause73): man(skc8, skc15) = true2.
% 4.87/1.23  Axiom 5 (clause76): event(skc8, skc13) = true2.
% 4.87/1.23  Axiom 6 (clause74): forename(skc8, skc14) = true2.
% 4.87/1.23  Axiom 7 (clause80): forename(skc8, skc11) = true2.
% 4.87/1.23  Axiom 8 (clause77): present(skc8, skc13) = true2.
% 4.87/1.23  Axiom 9 (clause84): proposition(skc8, skc12) = true2.
% 4.87/1.23  Axiom 10 (clause78): think_believe_consider(skc8, skc13) = true2.
% 4.87/1.23  Axiom 11 (clause82): state(skc8, skc9) = true2.
% 4.87/1.23  Axiom 12 (clause75): vincent_forename(skc8, skc14) = true2.
% 4.87/1.23  Axiom 13 (clause79): jules_forename(skc8, skc11) = true2.
% 4.87/1.23  Axiom 14 (clause86): agent(skc8, skc13, skc15) = true2.
% 4.87/1.23  Axiom 15 (clause85): of(skc8, skc14, skc15) = true2.
% 4.87/1.23  Axiom 16 (clause88): of(skc8, skc11, skc10) = true2.
% 4.87/1.23  Axiom 17 (clause87): theme(skc8, skc13, skc12) = true2.
% 4.87/1.23  Axiom 18 (clause94): fresh132(X, X, Y) = true2.
% 4.87/1.23  Axiom 19 (clause90): fresh5(X, X, Y) = true2.
% 4.87/1.23  Axiom 20 (clause91): fresh4(X, X, Y) = true2.
% 4.87/1.23  Axiom 21 (clause92): fresh3(X, X, Y) = true2.
% 4.87/1.23  Axiom 22 (clause93): fresh2(X, X, Y) = true2.
% 4.87/1.23  Axiom 23 (clause89): be(skc8, skc9, skc10, skc10) = true2.
% 4.87/1.23  Axiom 24 (clause52): fresh44(X, X, Y, Z) = true2.
% 4.87/1.23  Axiom 25 (clause94): fresh130(X, X, Y, Z, W) = man(Z, skf4(Z)).
% 4.87/1.23  Axiom 26 (clause52): fresh45(X, X, Y, Z, W) = man(Z, W).
% 4.87/1.23  Axiom 27 (clause90): fresh5(man(skc12, X), true2, Y) = smoke(skc12, skf2(Y)).
% 4.87/1.23  Axiom 28 (clause91): fresh4(man(skc12, X), true2, Y) = present(skc12, skf2(Y)).
% 4.87/1.23  Axiom 29 (clause92): fresh3(man(skc12, X), true2, Y) = event(skc12, skf2(Y)).
% 4.87/1.23  Axiom 30 (clause93): fresh2(man(skc12, X), true2, X) = agent(skc12, skf2(X), X).
% 4.87/1.23  Axiom 31 (clause94): fresh131(X, X, Y, Z, W, V, U) = fresh132(smoke(Z, U), true2, W).
% 4.87/1.23  Axiom 32 (clause52): fresh45(accessible_world(X, Y), true2, X, Y, Z) = fresh44(man(X, Z), true2, Y, Z).
% 4.87/1.23  Axiom 33 (clause94): fresh129(X, X, Y, Z, W, V, U, T) = fresh130(event(Y, V), true2, Z, W, T).
% 4.87/1.24  Axiom 34 (clause94): fresh128(X, X, Y, Z, W, V, U, T) = fresh131(event(Y, U), true2, Y, Z, W, V, T).
% 4.87/1.24  Axiom 35 (clause94): fresh127(X, X, Y, Z, W, V, U, T) = fresh129(event(Z, T), true2, Y, Z, W, V, U, T).
% 4.87/1.24  Axiom 36 (clause94): fresh126(X, X, Y, Z, W, V, U, T) = fresh128(proposition(Y, Z), true2, Y, Z, W, V, U, T).
% 4.87/1.24  Axiom 37 (clause94): fresh125(X, X, Y, Z, W, V, U, T, S) = fresh127(proposition(Y, V), true2, Y, W, V, U, T, S).
% 4.87/1.24  Axiom 38 (clause94): fresh124(X, X, Y, Z, W, V, U, T, S, X2) = fresh126(state(Y, Z), true2, Y, V, U, T, S, X2).
% 4.87/1.24  Axiom 39 (clause94): fresh123(X, X, Y, Z, W, V, U, T, S, X2, Y2) = fresh125(man(Y, W), true2, Y, Z, V, U, T, S, Y2).
% 4.87/1.24  Axiom 40 (clause94): fresh122(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh124(man(Y, Y2), true2, Y, Z, W, V, T, S, X2, Z2).
% 4.87/1.24  Axiom 41 (clause94): fresh121(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh123(forename(Y, U), true2, Y, Z, W, V, T, S, X2, Y2, W2).
% 4.87/1.24  Axiom 42 (clause94): fresh120(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh122(forename(Y, Z2), true2, Y, Z, W, V, U, T, S, X2, Y2, W2).
% 4.87/1.24  Axiom 43 (clause94): fresh119(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh121(vincent_forename(Y, Z2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 44 (clause94): fresh118(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh120(jules_forename(Y, U), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 45 (clause94): fresh117(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh118(accessible_world(Y, V), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 46 (clause94): fresh116(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh117(accessible_world(Y, T), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 47 (clause94): fresh115(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh116(present(Y, S), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 48 (clause94): fresh114(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh115(present(Y, X2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 49 (clause94): fresh113(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh114(present(V, W2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 50 (clause94): fresh112(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh113(think_believe_consider(Y, S), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 51 (clause94): fresh111(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh112(think_believe_consider(Y, X2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 52 (clause94): fresh110(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh111(agent(Y, S, Y2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 53 (clause94): fresh109(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh110(agent(Y, X2, Y2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 54 (clause94): fresh108(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh109(agent(V, W2, W), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 55 (clause94): fresh107(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh108(theme(Y, S, T), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 56 (clause94): fresh106(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh107(theme(Y, X2, V), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 57 (clause94): fresh105(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh106(of(Y, U, W), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 58 (clause94): fresh104(X, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2) = fresh105(of(Y, Z2, Y2), true2, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2).
% 4.87/1.24  Axiom 59 (clause94): fresh104(actual_world(X), true2, X, Y, Z, W, V, U, T, S, X2, Y2, Z2) = fresh119(be(X, Y, Z, Z), true2, X, Y, Z, W, V, U, T, S, X2, Y2, Z2).
% 4.87/1.24  
% 4.87/1.24  Lemma 60: man(skc12, skc10) = true2.
% 4.87/1.24  Proof:
% 4.87/1.24    man(skc12, skc10)
% 4.87/1.24  = { by axiom 26 (clause52) R->L }
% 4.87/1.24    fresh45(true2, true2, skc8, skc12, skc10)
% 4.87/1.24  = { by axiom 2 (clause83) R->L }
% 4.87/1.24    fresh45(accessible_world(skc8, skc12), true2, skc8, skc12, skc10)
% 4.87/1.24  = { by axiom 32 (clause52) }
% 4.87/1.24    fresh44(man(skc8, skc10), true2, skc12, skc10)
% 4.87/1.24  = { by axiom 3 (clause81) }
% 4.87/1.24    fresh44(true2, true2, skc12, skc10)
% 4.87/1.24  = { by axiom 24 (clause52) }
% 4.87/1.24    true2
% 4.87/1.24  
% 4.87/1.24  Lemma 61: smoke(skc12, skf2(X)) = true2.
% 4.87/1.24  Proof:
% 4.87/1.24    smoke(skc12, skf2(X))
% 4.87/1.24  = { by axiom 27 (clause90) R->L }
% 4.87/1.24    fresh5(man(skc12, skc10), true2, X)
% 4.87/1.24  = { by lemma 60 }
% 4.87/1.24    fresh5(true2, true2, X)
% 4.87/1.24  = { by axiom 19 (clause90) }
% 4.87/1.24    true2
% 4.87/1.24  
% 4.87/1.24  Lemma 62: event(skc12, skf2(X)) = true2.
% 4.87/1.24  Proof:
% 4.87/1.24    event(skc12, skf2(X))
% 4.87/1.24  = { by axiom 29 (clause92) R->L }
% 4.87/1.24    fresh3(man(skc12, skc10), true2, X)
% 4.87/1.24  = { by lemma 60 }
% 4.87/1.24    fresh3(true2, true2, X)
% 4.87/1.24  = { by axiom 21 (clause92) }
% 4.87/1.24    true2
% 4.87/1.24  
% 4.87/1.24  Lemma 63: present(skc12, skf2(X)) = true2.
% 4.87/1.24  Proof:
% 4.87/1.24    present(skc12, skf2(X))
% 4.87/1.24  = { by axiom 28 (clause91) R->L }
% 4.87/1.24    fresh4(man(skc12, skc10), true2, X)
% 4.87/1.24  = { by lemma 60 }
% 4.87/1.24    fresh4(true2, true2, X)
% 4.87/1.24  = { by axiom 20 (clause91) }
% 4.87/1.24    true2
% 4.87/1.24  
% 4.87/1.24  Lemma 64: agent(skc12, skf2(skc10), skc10) = true2.
% 4.87/1.24  Proof:
% 4.87/1.24    agent(skc12, skf2(skc10), skc10)
% 4.87/1.24  = { by axiom 30 (clause93) R->L }
% 4.87/1.24    fresh2(man(skc12, skc10), true2, skc10)
% 4.87/1.24  = { by lemma 60 }
% 4.87/1.24    fresh2(true2, true2, skc10)
% 4.87/1.24  = { by axiom 22 (clause93) }
% 4.87/1.24    true2
% 4.87/1.24  
% 4.87/1.24  Goal 1 (clause95): tuple(smoke(X, Y), smoke(Z, W), event(V, U), event(V, T), event(X, Y), event(Z, W), proposition(V, X), proposition(V, Z), state(V, S), man(V, X2), man(V, Y2), forename(V, Z2), forename(V, W2), vincent_forename(V, W2), jules_forename(V, Z2), be(V, S, X2, X2), accessible_world(V, X), accessible_world(V, Z), present(V, U), present(V, T), present(X, Y), present(Z, W), think_believe_consider(V, U), think_believe_consider(V, T), agent(V, U, Y2), agent(V, T, Y2), agent(X, Y, X2), agent(Z, W, skf4(Z)), theme(V, U, Z), theme(V, T, X), of(V, Z2, X2), of(V, W2, Y2), 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).
% 4.87/1.24  The goal is true when:
% 4.87/1.24    X = skc12
% 4.87/1.24    Y = skf2(skc10)
% 4.87/1.24    Z = skc12
% 4.87/1.24    W = skf2(skf4(skc12))
% 4.87/1.24    V = skc8
% 4.87/1.24    U = skc13
% 4.87/1.24    T = skc13
% 4.87/1.24    S = skc9
% 4.87/1.24    X2 = skc10
% 4.87/1.24    Y2 = skc15
% 4.87/1.24    Z2 = skc11
% 4.87/1.24    W2 = skc14
% 4.87/1.24  
% 4.87/1.24  Proof:
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), proposition(skc8, skc12), proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), 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(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), theme(skc8, skc13, skc12), theme(skc8, skc13, skc12), of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 4.87/1.24  = { by axiom 17 (clause87) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), event(skc8, skc13), event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), proposition(skc8, skc12), proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), 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(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), theme(skc8, skc13, skc12), true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 4.87/1.24  = { by axiom 5 (clause76) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), proposition(skc8, skc12), proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), 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(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), theme(skc8, skc13, skc12), true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 4.87/1.24  = { by axiom 9 (clause84) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), 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(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), theme(skc8, skc13, skc12), true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 4.87/1.24  = { by axiom 2 (clause83) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, accessible_world(skc8, skc12), present(skc8, skc13), present(skc8, skc13), present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), theme(skc8, skc13, skc12), true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 4.87/1.24  = { by axiom 8 (clause77) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, accessible_world(skc8, skc12), present(skc8, skc13), true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), think_believe_consider(skc8, skc13), agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), theme(skc8, skc13, skc12), true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 4.87/1.24  = { by axiom 10 (clause78) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, accessible_world(skc8, skc12), present(skc8, skc13), true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), theme(skc8, skc13, skc12), true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), actual_world(skc8))
% 4.87/1.24  = { by axiom 1 (clause72) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, accessible_world(skc8, skc12), present(skc8, skc13), true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), theme(skc8, skc13, skc12), true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 4.87/1.24  = { by axiom 17 (clause87) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), event(skc8, skc13), true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, accessible_world(skc8, skc12), present(skc8, skc13), true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 4.87/1.24  = { by axiom 5 (clause76) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, proposition(skc8, skc12), state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, accessible_world(skc8, skc12), present(skc8, skc13), true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 4.87/1.24  = { by axiom 9 (clause84) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, accessible_world(skc8, skc12), present(skc8, skc13), true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 4.87/1.24  = { by axiom 2 (clause83) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, present(skc8, skc13), true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 4.87/1.24  = { by axiom 8 (clause77) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), think_believe_consider(skc8, skc13), true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 4.87/1.24  = { by axiom 10 (clause78) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), of(skc8, skc14, skc15), true2)
% 4.87/1.24  = { by axiom 15 (clause85) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), man(skc8, skc15), forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by axiom 4 (clause73) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), true2, forename(skc8, skc11), forename(skc8, skc14), vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by axiom 6 (clause74) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), true2, forename(skc8, skc11), true2, vincent_forename(skc8, skc14), jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by axiom 12 (clause75) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, agent(skc8, skc13, skc15), agent(skc8, skc13, skc15), agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by axiom 14 (clause86) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, agent(skc8, skc13, skc15), true2, agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by axiom 14 (clause86) }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, agent(skc12, skf2(skc10), skc10), agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by lemma 64 }
% 4.87/1.24    tuple(smoke(skc12, skf2(skc10)), smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by lemma 61 }
% 4.87/1.24    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, event(skc12, skf2(skc10)), event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by lemma 62 }
% 4.87/1.24    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), man(skc8, skc10), true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by axiom 3 (clause81) }
% 4.87/1.24    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, present(skc12, skf2(skc10)), present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.24  = { by lemma 63 }
% 4.87/1.24    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, agent(skc12, skf2(skf4(skc12)), skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 30 (clause93) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(man(skc12, skf4(skc12)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 25 (clause94) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh130(true2, true2, skc12, skc12, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 5 (clause76) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh130(event(skc8, skc13), true2, skc12, skc12, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 33 (clause94) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh129(true2, true2, skc8, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by lemma 62 R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh129(event(skc12, skf2(skc10)), true2, skc8, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 35 (clause94) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh127(true2, true2, skc8, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 9 (clause84) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh127(proposition(skc8, skc12), true2, skc8, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 37 (clause94) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh125(true2, true2, skc8, skc9, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 3 (clause81) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh125(man(skc8, skc10), true2, skc8, skc9, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 39 (clause94) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh123(true2, true2, skc8, skc9, skc10, skc12, skc12, skc13, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 7 (clause80) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh123(forename(skc8, skc11), true2, skc8, skc9, skc10, skc12, skc12, skc13, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 41 (clause94) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh121(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 12 (clause75) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh121(vincent_forename(skc8, skc14), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 43 (clause94) R->L }
% 4.87/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh119(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.87/1.25  = { by axiom 23 (clause89) R->L }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh119(be(skc8, skc9, skc10, skc10), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 59 (clause94) R->L }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh104(actual_world(skc8), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 1 (clause72) }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh104(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 58 (clause94) }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh105(of(skc8, skc14, skc15), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 15 (clause85) }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh105(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 57 (clause94) }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh106(of(skc8, skc11, skc10), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 16 (clause88) }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh106(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 56 (clause94) }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh107(theme(skc8, skc13, skc12), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 17 (clause87) }
% 4.89/1.25    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh107(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.25  = { by axiom 55 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh108(theme(skc8, skc13, skc12), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 17 (clause87) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh108(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 54 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh109(agent(skc12, skf2(skc10), skc10), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by lemma 64 }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh109(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 53 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh110(agent(skc8, skc13, skc15), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 14 (clause86) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh110(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 52 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh111(agent(skc8, skc13, skc15), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 14 (clause86) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh111(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 51 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh112(think_believe_consider(skc8, skc13), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 10 (clause78) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh112(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 50 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh113(think_believe_consider(skc8, skc13), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 10 (clause78) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh113(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 49 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh114(present(skc12, skf2(skc10)), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by lemma 63 }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh114(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 48 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh115(present(skc8, skc13), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 8 (clause77) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh115(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 47 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh116(present(skc8, skc13), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 8 (clause77) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh116(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 46 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh117(accessible_world(skc8, skc12), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 2 (clause83) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh117(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 45 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh118(accessible_world(skc8, skc12), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 2 (clause83) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh118(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 44 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh120(jules_forename(skc8, skc11), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 13 (clause79) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh120(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skc14, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 42 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh122(forename(skc8, skc14), true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 6 (clause74) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh122(true2, true2, skc8, skc9, skc10, skc12, skc11, skc12, skc13, skc13, skc15, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 40 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh124(man(skc8, skc15), true2, skc8, skc9, skc10, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 4 (clause73) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh124(true2, true2, skc8, skc9, skc10, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 38 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh126(state(skc8, skc9), true2, skc8, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 11 (clause82) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh126(true2, true2, skc8, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 36 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh128(proposition(skc8, skc12), true2, skc8, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 9 (clause84) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh128(true2, true2, skc8, skc12, skc12, skc13, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 34 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh131(event(skc8, skc13), true2, skc8, skc12, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 5 (clause76) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh131(true2, true2, skc8, skc12, skc12, skc13, skf2(skc10)), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 31 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh132(smoke(skc12, skf2(skc10)), true2, skc12), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by lemma 61 }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(fresh132(true2, true2, skc12), true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 18 (clause94) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, fresh2(true2, true2, skf4(skc12)), true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 22 (clause93) }
% 4.89/1.26    tuple(true2, smoke(skc12, skf2(skf4(skc12))), true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by lemma 61 }
% 4.89/1.26    tuple(true2, true2, true2, true2, true2, event(skc12, skf2(skf4(skc12))), true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by lemma 62 }
% 4.89/1.26    tuple(true2, true2, true2, true2, true2, true2, true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, present(skc12, skf2(skf4(skc12))), true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by lemma 63 }
% 4.89/1.26    tuple(true2, true2, true2, true2, true2, true2, true2, true2, state(skc8, skc9), true2, true2, forename(skc8, skc11), true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 7 (clause80) }
% 4.89/1.26    tuple(true2, true2, true2, true2, true2, true2, true2, true2, state(skc8, skc9), true2, true2, true2, true2, true2, jules_forename(skc8, skc11), be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 13 (clause79) }
% 4.89/1.26    tuple(true2, true2, true2, true2, true2, true2, true2, true2, state(skc8, skc9), true2, true2, true2, true2, true2, true2, be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, of(skc8, skc11, skc10), true2, true2)
% 4.89/1.26  = { by axiom 16 (clause88) }
% 4.89/1.26    tuple(true2, true2, true2, true2, true2, true2, true2, true2, state(skc8, skc9), true2, true2, true2, true2, true2, true2, be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2)
% 4.89/1.26  = { by axiom 11 (clause82) }
% 4.89/1.26    tuple(true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, be(skc8, skc9, skc10, skc10), true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2, true2)
% 4.89/1.26  = { by axiom 23 (clause89) }
% 4.89/1.26    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)
% 4.89/1.26  % SZS output end Proof
% 4.89/1.26  
% 4.89/1.26  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------