0.05/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.12	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.11/0.32	% Computer   : n016.cluster.edu
0.11/0.32	% Model      : x86_64 x86_64
0.11/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory     : 8042.1875MB
0.11/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 960
0.11/0.32	% WCLimit    : 120
0.11/0.32	% DateTime   : Thu Jul  2 09:07:20 EDT 2020
0.11/0.32	% CPUTime    : 
105.54/13.66	% SZS status Theorem
105.54/13.66	
105.54/13.66	% SZS output start Proof
105.54/13.66	Take the following subset of the input axioms:
105.54/13.70	  fof('HL_EXT', axiom, ![V_3f2384, V_3f2380, Vf, Vg]: (s__02(cfun__02(V_3f2384, V_3f2380), Vf)=s__02(cfun__02(V_3f2384, V_3f2380), Vg) <= ![Vx]: s__02(V_3f2380, chapp__02(s__02(cfun__02(V_3f2384, V_3f2380), Vg), s__02(V_3f2384, Vx)))=s__02(V_3f2380, chapp__02(s__02(cfun__02(V_3f2384, V_3f2380), Vf), s__02(V_3f2384, Vx))))).
105.54/13.70	  fof('thm.ml_translator.Eval_def', axiom, ![V_27P_27, V_27exp_27, V_27env_27]: (p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), V_27env_27), s__02(c_27type_2east_2eexp_27__00, V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), V_27P_27)))) <=> ![V_27refs_27]: ?[V_27refs_7c39_7c_27, V_27res_27]: (p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), V_27P_27), s__02(c_27type_2esemanticPrimitives_2ev_27__00, V_27res_27)))) & p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), V_27refs_27))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), V_27refs_27), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), V_27refs_7c39_7c_27))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, V_27res_27))))))))))).
105.54/13.70	  fof('thm.ml_translator.FUN_FORALL', axiom, ![V_27A_27, Vx, V_27B_27, Vx0, Vx1]: (p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), Vx), s__02(V_27B_27, Vx0))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, Vx1)))) <=> ![V_27y_27]: p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), Vx), s__02(V_27A_27, V_27y_27))), s__02(V_27B_27, Vx0))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, Vx1)))))).
105.54/13.70	  fof('thm.ml_translator.evaluate_11_Rval', axiom, ![V_27A_27, V_27s1_27, V_27s2_27, V_27s_27, V_27res2_27, V_27res1_27, V_27exp_27, V_27env_27, V_27b_27]: (p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, V_27b_27), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27), V_27s_27), s__02(c_27type_2east_2eexp_27__00, V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27), V_27s1_27), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, V_27res1_27)))))))) => (p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, V_27b_27), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27), V_27s_27), s__02(c_27type_2east_2eexp_27__00, V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27), V_27s2_27), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, V_27res2_27)))))))) => s__02(c_27type_2esemanticPrimitives_2ev_27__00, V_27res1_27)=s__02(c_27type_2esemanticPrimitives_2ev_27__00, V_27res2_27)))).
105.54/13.71	  fof(conjecture, conjecture, ![V_27A_27, V_27B_27, V__0]: (![V_27p_27, V_27x_27]: s__02(cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), chapp__02(s__02(cfun__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), V__0), s__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), V_27p_27))), s__02(V_27A_27, V_27x_27)))=s__02(cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), V_27p_27), s__02(V_27A_27, V_27x_27))) => ![V_27p_27, V_27exp_27, V_27env_27, V_27f_27]: (![V_27x_27]: p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), V_27env_27), s__02(c_27type_2east_2eexp_27__00, V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), V_27p_27), s__02(V_27A_27, V_27x_27))), s__02(V_27B_27, V_27f_27)))))) => p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), V_27env_27), s__02(c_27type_2east_2eexp_27__00, V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), chapp__02(s__02(cfun__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), V__0), s__02(cfun__02(V_27A_27, cfun__02(V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), V_27p_27))), s__02(V_27B_27, V_27f_27))))))))).
105.54/13.71	
105.54/13.71	Now clausify the problem and encode Horn clauses using encoding 3 of
105.54/13.71	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
105.54/13.71	We repeatedly replace C & s=t => u=v by the two clauses:
105.54/13.71	  fresh(y, y, x1...xn) = u
105.54/13.71	  C => fresh(s, t, x1...xn) = v
105.54/13.71	where fresh is a fresh function symbol and x1..xn are the free
105.54/13.71	variables of u and v.
105.54/13.71	A predicate p(X) is encoded as p(X)=true (this is sound, because the
105.54/13.71	input problem has no model of domain size 1).
105.54/13.71	
105.54/13.71	The encoding turns the above axioms into the following unit equations and goals:
105.54/13.71	
105.54/13.71	Axiom 1 (HL_EXT): fresh57(X, X, Y, Z, W, V) = s__02(cfun__02(Y, Z), V).
105.54/13.71	Axiom 2 (thm.bool.IMP_CLAUSES_7): fresh49(X, X, Y) = p__01(s__02(cbool__00, Y)).
105.54/13.71	Axiom 3 (thm.ml_translator.Eval_def): fresh46(X, X, Y, Z, W, V) = true2.
105.54/13.71	Axiom 4 (thm.ml_translator.Eval_def_1): fresh45(X, X, Y, Z, W, V) = true2.
105.54/13.71	Axiom 5 (thm.ml_translator.Eval_def_2): fresh44(X, X, Y, Z, W, V) = p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), Y), s__02(c_27type_2east_2eexp_27__00, Z), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), W)))).
105.54/13.71	Axiom 6 (thm.ml_translator.Eval_def_2): fresh43(X, X, Y, Z, W) = true2.
105.54/13.71	Axiom 7 (thm.ml_translator.FUN_FORALL): fresh42(X, X, Y, Z, W, V, U) = true2.
105.54/13.71	Axiom 8 (thm.ml_translator.evaluate_11_Rval): fresh40(X, X, Y, Z) = s__02(c_27type_2esemanticPrimitives_2ev_27__00, Y).
105.54/13.71	Axiom 9 (thm.ml_translator.evaluate_11_Rval): fresh39(X, X, Y, Z, W, V, U, T, S, X2) = s__02(c_27type_2esemanticPrimitives_2ev_27__00, U).
105.54/13.71	Axiom 10 (thm.ml_translator.Eval_def_2): fresh44(p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK10_thm.ml_translator.Eval_def_V_27refs_27(X, Y, Z)))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, Y), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK10_thm.ml_translator.Eval_def_V_27refs_27(X, Y, Z)), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, V)))))))), true2, X, Y, Z, V) = fresh43(p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), Z), s__02(c_27type_2esemanticPrimitives_2ev_27__00, V)))), true2, X, Y, Z).
105.54/13.71	Axiom 11 (thm.ml_translator.Eval_def_1): fresh45(p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2east_2eexp_27__00, Y), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), Z)))), true2, X, Y, Z, W) = p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, Y), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(X, Y, Z, W)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(X, Y, Z, W))))))))).
105.54/13.71	Axiom 12 (thm.ml_translator.Eval_def): fresh46(p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2east_2eexp_27__00, Y), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), Z)))), true2, X, Y, Z, W) = p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), Z), s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(X, Y, Z, W))))).
105.54/13.71	Axiom 13 (HL_EXT): fresh57(s__02(X, chapp__02(s__02(cfun__02(Y, X), Z), s__02(Y, sK9_HL_EXT_Vx(Y, X, W, Z)))), s__02(X, chapp__02(s__02(cfun__02(Y, X), W), s__02(Y, sK9_HL_EXT_Vx(Y, X, W, Z)))), Y, X, W, Z) = s__02(cfun__02(Y, X), W).
105.54/13.71	Axiom 14 (thm.ml_translator.evaluate_11_Rval): fresh39(p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, X), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), Y), s__02(c_27type_2esemanticPrimitives_2estate_27__01(Z), W), s__02(c_27type_2east_2eexp_27__00, V), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(Z), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(Z), U), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, T)))))))), true2, Z, S, W, X2, T, V, Y, X) = fresh40(p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, X), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), Y), s__02(c_27type_2esemanticPrimitives_2estate_27__01(Z), W), s__02(c_27type_2east_2eexp_27__00, V), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(Z), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(Z), S), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, X2)))))))), true2, X2, T).
105.54/13.71	Axiom 15 (thm.ml_translator.FUN_FORALL): fresh42(p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(X, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(Y, cfun__02(X, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), Z), s__02(Y, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(Y, X, Z, W, V)))), s__02(X, W))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, V)))), true2, Y, X, Z, W, V) = p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(Y, cfun__02(X, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), Z), s__02(X, W))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, V)))).
105.54/13.71	Axiom 16 (conjecture): s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), X))), s__02(sK7_conjecture_V_27A_27, Y))) = s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), X), s__02(sK7_conjecture_V_27A_27, Y))).
105.54/13.71	Axiom 17 (conjecture_1): p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))) = true2.
105.54/13.71	
105.54/13.71	Lemma 18: fresh49(?, ?, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), Y), s__02(c_27type_2east_2eexp_27__00, Z), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), W))) = fresh44(?, ?, Y, Z, W, ?).
105.54/13.71	Proof:
105.54/13.71	  fresh49(?, ?, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), Y), s__02(c_27type_2east_2eexp_27__00, Z), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), W)))
105.54/13.71	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
105.54/13.71	  p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), Y), s__02(c_27type_2east_2eexp_27__00, Z), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), W))))
105.54/13.71	= { by axiom 5 (thm.ml_translator.Eval_def_2) }
105.54/13.71	  fresh44(?, ?, Y, Z, W, ?)
105.54/13.71	
105.54/13.71	Lemma 19: fresh49(?, ?, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, Y), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(X, Y, Z, W)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(X, Y, Z, W)))))))) = fresh45(fresh44(?, ?, X, Y, Z, ?), true2, X, Y, Z, W).
105.54/13.71	Proof:
105.54/13.71	  fresh49(?, ?, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, Y), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(X, Y, Z, W)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(X, Y, Z, W))))))))
105.54/13.71	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
105.54/13.71	  p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, Y), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), W), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(X, Y, Z, W)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(X, Y, Z, W)))))))))
105.54/13.71	= { by axiom 11 (thm.ml_translator.Eval_def_1) }
105.54/13.71	  fresh45(p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2east_2eexp_27__00, Y), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), Z)))), true2, X, Y, Z, W)
105.54/13.71	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
105.54/13.71	  fresh45(fresh49(?, ?, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), X), s__02(c_27type_2east_2eexp_27__00, Y), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), Z))), true2, X, Y, Z, W)
105.54/13.71	= { by lemma 18 }
105.54/13.71	  fresh45(fresh44(?, ?, X, Y, Z, ?), true2, X, Y, Z, W)
105.54/13.71	
105.54/13.71	Lemma 20: fresh44(?, ?, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), ?) = true2.
105.54/13.71	Proof:
105.54/13.71	  fresh44(?, ?, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), ?)
105.54/13.71	= { by lemma 18 }
105.54/13.71	  fresh49(?, ?, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))
105.54/13.71	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
105.54/13.71	  p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))
105.54/13.71	= { by axiom 17 (conjecture_1) }
105.54/13.71	  true2
105.54/13.71	
105.54/13.71	Lemma 21: fresh40(fresh45(fresh44(?, ?, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, ?), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), true2, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y)) = s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y)).
105.54/13.71	Proof:
105.54/13.71	  fresh40(fresh45(fresh44(?, ?, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, ?), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), true2, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y))
105.54/13.71	= { by lemma 19 }
105.54/13.71	  fresh40(fresh49(?, ?, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y)))))))), true2, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y))
105.54/13.71	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
105.54/13.72	  fresh40(p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y))))))))), true2, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y))
105.54/13.72	= { by axiom 14 (thm.ml_translator.evaluate_11_Rval) }
105.54/13.72	  fresh39(p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y))))))))), true2, c_27type_2eone_2eone_27__00, c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y), sK3_conjecture_V_27exp_27, sK4_conjecture_V_27env_27, cF__00)
105.54/13.72	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
105.54/13.72	  fresh39(fresh49(?, ?, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y)))))))), true2, c_27type_2eone_2eone_27__00, c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y), sK3_conjecture_V_27exp_27, sK4_conjecture_V_27env_27, cF__00)
105.54/13.72	= { by lemma 19 }
105.54/13.72	  fresh39(fresh45(fresh44(?, ?, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), ?), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y), true2, c_27type_2eone_2eone_27__00, c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y), sK3_conjecture_V_27exp_27, sK4_conjecture_V_27env_27, cF__00)
105.54/13.72	= { by lemma 20 }
105.54/13.72	  fresh39(fresh45(true2, true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y), true2, c_27type_2eone_2eone_27__00, c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y), sK3_conjecture_V_27exp_27, sK4_conjecture_V_27env_27, cF__00)
105.54/13.72	= { by axiom 4 (thm.ml_translator.Eval_def_1) }
105.54/13.72	  fresh39(true2, true2, c_27type_2eone_2eone_27__00, c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), Y))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, Z, Y), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y), sK3_conjecture_V_27exp_27, sK4_conjecture_V_27env_27, cF__00)
105.54/13.72	= { by axiom 9 (thm.ml_translator.evaluate_11_Rval) }
106.32/13.75	  s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, X))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), Y))
106.32/13.75	
106.32/13.75	Goal 1 (conjecture_2): p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))) = true2.
106.32/13.75	Proof:
106.32/13.75	  p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))
106.32/13.75	= { by axiom 1 (HL_EXT) }
106.32/13.75	  p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(fresh57(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK9_HL_EXT_Vx(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), sK2_conjecture_V_27p_27, chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27)))))), s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK9_HL_EXT_Vx(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), sK2_conjecture_V_27p_27, chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27)))))), sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), sK2_conjecture_V_27p_27, chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))
106.32/13.75	= { by axiom 16 (conjecture) }
106.32/13.75	  p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(fresh57(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27))), s__02(sK7_conjecture_V_27A_27, sK9_HL_EXT_Vx(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), sK2_conjecture_V_27p_27, chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27)))))), s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK9_HL_EXT_Vx(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), sK2_conjecture_V_27p_27, chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27)))))), sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), sK2_conjecture_V_27p_27, chapp__02(s__02(cfun__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)))), sK5_conjecture_V__0), s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))
106.32/13.75	= { by axiom 13 (HL_EXT) }
106.32/13.75	  p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))
106.32/13.75	= { by axiom 5 (thm.ml_translator.Eval_def_2) }
106.32/13.75	  fresh44(true2, true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))
106.32/13.75	= { by axiom 4 (thm.ml_translator.Eval_def_1) }
106.32/13.75	  fresh44(fresh45(true2, true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))
106.32/13.75	= { by lemma 20 }
106.32/13.75	  fresh44(fresh45(fresh44(?, ?, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), ?), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))
106.32/13.75	= { by lemma 19 }
106.32/13.76	  fresh44(fresh49(?, ?, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))
106.32/13.76	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
106.32/13.76	  fresh44(p__01(s__02(cbool__00, c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00, cF__00), s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))), c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)), sK11_thm.ml_translator.Eval_def_V_27refs_7c39_7c_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))))), s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00), c_27const_2eml__translator_2eempty__state_27__00))), s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00, c_27type_2esemanticPrimitives_2ev_27__00), c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))
106.32/13.76	= { by axiom 10 (thm.ml_translator.Eval_def_2) }
106.32/13.76	  fresh43(p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.76	= { by axiom 15 (thm.ml_translator.FUN_FORALL) }
106.32/13.76	  fresh43(fresh42(p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.76	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
106.32/13.76	  fresh43(fresh42(fresh49(?, ?, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.76	= { by axiom 8 (thm.ml_translator.evaluate_11_Rval) }
106.32/13.76	  fresh43(fresh42(fresh49(?, ?, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))), fresh40(true2, true2, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.76	= { by axiom 4 (thm.ml_translator.Eval_def_1) }
106.32/13.76	  fresh43(fresh42(fresh49(?, ?, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))), fresh40(fresh45(true2, true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), true2, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.76	= { by lemma 20 }
106.32/13.77	  fresh43(fresh42(fresh49(?, ?, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))), fresh40(fresh45(fresh44(?, ?, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), ?), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), true2, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by lemma 21 }
106.32/13.77	  fresh43(fresh42(fresh49(?, ?, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
106.32/13.77	  fresh43(fresh42(p__01(s__02(cbool__00, chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))), s__02(c_27type_2esemanticPrimitives_2ev_27__00, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by axiom 12 (thm.ml_translator.Eval_def) }
106.32/13.77	  fresh43(fresh42(fresh46(p__01(s__02(cbool__00, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by axiom 2 (thm.bool.IMP_CLAUSES_7) }
106.32/13.77	  fresh43(fresh42(fresh46(fresh49(?, ?, c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00), sK4_conjecture_V_27env_27), s__02(c_27type_2east_2eexp_27__00, sK3_conjecture_V_27exp_27), s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00), chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by lemma 18 }
106.32/13.77	  fresh43(fresh42(fresh46(fresh44(?, ?, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), ?), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by lemma 20 }
106.32/13.77	  fresh43(fresh42(fresh46(true2, true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, sK8_thm.ml_translator.FUN_FORALL_V_27y_27(sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))))))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))), true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by axiom 3 (thm.ml_translator.Eval_def) }
106.32/13.77	  fresh43(fresh42(true2, true2, sK7_conjecture_V_27A_27, sK6_conjecture_V_27B_27, sK2_conjecture_V_27p_27, sK1_conjecture_V_27f_27, sK12_thm.ml_translator.Eval_def_V_27res_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, chapp__02(s__02(cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00)), chapp__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK7_conjecture_V_27A_27, ?))), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)), sK10_thm.ml_translator.Eval_def_V_27refs_27(sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27))))), true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by axiom 7 (thm.ml_translator.FUN_FORALL) }
106.32/13.77	  fresh43(true2, true2, sK4_conjecture_V_27env_27, sK3_conjecture_V_27exp_27, c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK7_conjecture_V_27A_27, cfun__02(sK6_conjecture_V_27B_27, cfun__02(c_27type_2esemanticPrimitives_2ev_27__00, cbool__00))), sK2_conjecture_V_27p_27), s__02(sK6_conjecture_V_27B_27, sK1_conjecture_V_27f_27)))
106.32/13.77	= { by axiom 6 (thm.ml_translator.Eval_def_2) }
106.32/13.77	  true2
106.32/13.77	% SZS output end Proof
106.32/13.77	
106.32/13.77	RESULT: Theorem (the conjecture is true).
106.32/13.79	EOF