TSTP Solution File: SWV906-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 23:06:43 EDT 2023
% Result : Unsatisfiable 155.30s 20.58s
% Output : Proof 157.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.32 % Computer : n014.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue Aug 29 08:43:00 EDT 2023
% 0.14/0.33 % CPUTime :
% 155.30/20.58 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 155.30/20.58
% 155.30/20.58 % SZS status Unsatisfiable
% 155.30/20.58
% 155.30/20.60 % SZS output start Proof
% 155.30/20.60 Take the following subset of the input axioms:
% 155.30/20.60 fof(cls_Collect__def_0, axiom, ![T_a, V_P]: c_Collect(V_P, T_a)=V_P).
% 155.30/20.60 fof(cls_MGF_0, axiom, ![V_c]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, V_c), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) | (~c_Com_OWT(V_c) | (~c_Com_OWT__bodies | ~c_Hoare__Mirabelle_Ostate__not__singleton)))).
% 155.30/20.60 fof(cls_MGT__BodyN_0, axiom, ![V_G, V_pn]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, V_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) | ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, V_pn)), V_G, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate))).
% 155.30/20.60 fof(cls_Option_Oset_Osimps_I2_J_0, axiom, ![V_x, T_a2]: c_Option_Oset(c_Option_Ooption_OSome(V_x, T_a2), T_a2)=c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool)), T_a2)).
% 155.30/20.60 fof(cls_WT__bodiesD_0, axiom, ![V_b, V_pn2]: (hAPP(c_Com_Obody, V_pn2)!=c_Option_Ooption_OSome(V_b, tc_Com_Ocom) | (~c_Com_OWT__bodies | c_Com_OWT(V_b)))).
% 155.30/20.60 fof(cls_asm_0, axiom, ![V_ts, T_a2, V_G2]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G2, V_ts, T_a2) | ~c_lessequals(V_ts, V_G2, tc_fun(tc_Hoare__Mirabelle_Otriple(T_a2), tc_bool)))).
% 155.30/20.60 fof(cls_conjecture_0, negated_conjecture, c_Hoare__Mirabelle_Ostate__not__singleton).
% 155.30/20.60 fof(cls_conjecture_1, negated_conjecture, c_Com_OWT__bodies).
% 155.30/20.60 fof(cls_conjecture_3, negated_conjecture, hAPP(c_Com_Obody, v_pn)=c_Option_Ooption_OSome(v_y, tc_Com_Ocom)).
% 155.30/20.60 fof(cls_conjecture_5, negated_conjecture, ~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)).
% 155.30/20.60 fof(cls_cut_0, axiom, ![V_G_H, T_a2, V_G2, V_ts2]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G2, V_ts2, T_a2) | (~c_Hoare__Mirabelle_Ohoare__derivs(V_G2, V_G_H, T_a2) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G_H, V_ts2, T_a2)))).
% 155.30/20.60 fof(cls_singleton__conv2_0, axiom, ![V_a, T_a2]: c_Collect(hAPP(c_fequal(T_a2), V_a), T_a2)=c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool)), T_a2)).
% 155.30/20.60 fof(cls_subset__insertI_0, axiom, ![V_B, T_a2, V_a2]: c_lessequals(V_B, c_Set_Oinsert(V_a2, V_B, T_a2), tc_fun(T_a2, tc_bool))).
% 155.30/20.60 fof(cls_the_Osimps_0, axiom, ![T_a2, V_x2]: hAPP(c_Option_Othe(T_a2), c_Option_Ooption_OSome(V_x2, T_a2))=V_x2).
% 155.30/20.60
% 155.30/20.60 Now clausify the problem and encode Horn clauses using encoding 3 of
% 155.30/20.60 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 155.30/20.60 We repeatedly replace C & s=t => u=v by the two clauses:
% 155.30/20.60 fresh(y, y, x1...xn) = u
% 155.30/20.60 C => fresh(s, t, x1...xn) = v
% 155.30/20.60 where fresh is a fresh function symbol and x1..xn are the free
% 155.30/20.60 variables of u and v.
% 155.30/20.60 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 155.30/20.60 input problem has no model of domain size 1).
% 155.30/20.60
% 155.30/20.60 The encoding turns the above axioms into the following unit equations and goals:
% 155.30/20.60
% 155.30/20.60 Axiom 1 (cls_conjecture_0): c_Hoare__Mirabelle_Ostate__not__singleton = true2.
% 155.30/20.60 Axiom 2 (cls_conjecture_1): c_Com_OWT__bodies = true2.
% 155.30/20.60 Axiom 3 (cls_conjecture_3): hAPP(c_Com_Obody, v_pn) = c_Option_Ooption_OSome(v_y, tc_Com_Ocom).
% 155.30/20.60 Axiom 4 (cls_Collect__def_0): c_Collect(X, Y) = X.
% 155.30/20.60 Axiom 5 (cls_MGF_0): fresh323(X, X, Y) = true2.
% 155.30/20.60 Axiom 6 (cls_MGF_0): fresh321(X, X, Y) = fresh322(c_Hoare__Mirabelle_Ostate__not__singleton, true2, Y).
% 155.30/20.60 Axiom 7 (cls_WT__bodiesD_0): fresh264(X, X, Y) = true2.
% 155.30/20.60 Axiom 8 (cls_the_Osimps_0): hAPP(c_Option_Othe(X), c_Option_Ooption_OSome(Y, X)) = Y.
% 155.30/20.60 Axiom 9 (cls_MGF_0): fresh322(X, X, Y) = fresh323(c_Com_OWT(Y), true2, Y).
% 155.30/20.60 Axiom 10 (cls_MGT__BodyN_0): fresh304(X, X, Y, Z) = true2.
% 155.30/20.60 Axiom 11 (cls_WT__bodiesD_0): fresh265(X, X, Y, Z) = c_Com_OWT(Z).
% 155.30/20.60 Axiom 12 (cls_Option_Oset_Osimps_I2_J_0): c_Option_Oset(c_Option_Ooption_OSome(X, Y), Y) = c_Set_Oinsert(X, c_Orderings_Obot__class_Obot(tc_fun(Y, tc_bool)), Y).
% 155.30/20.60 Axiom 13 (cls_singleton__conv2_0): c_Collect(hAPP(c_fequal(X), Y), X) = c_Set_Oinsert(Y, c_Orderings_Obot__class_Obot(tc_fun(X, tc_bool)), X).
% 155.30/20.60 Axiom 14 (cls_WT__bodiesD_0): fresh265(c_Com_OWT__bodies, true2, X, Y) = fresh264(hAPP(c_Com_Obody, X), c_Option_Ooption_OSome(Y, tc_Com_Ocom), Y).
% 155.30/20.61 Axiom 15 (cls_asm_0): fresh254(X, X, Y, Z, W) = true2.
% 155.30/20.61 Axiom 16 (cls_cut_0): fresh237(X, X, Y, Z, W) = true2.
% 155.30/20.61 Axiom 17 (cls_subset__insertI_0): c_lessequals(X, c_Set_Oinsert(Y, X, Z), tc_fun(Z, tc_bool)) = true2.
% 155.30/20.61 Axiom 18 (cls_cut_0): fresh238(X, X, Y, Z, W, V) = c_Hoare__Mirabelle_Ohoare__derivs(Y, Z, W).
% 155.30/20.61 Axiom 19 (cls_cut_0): fresh238(c_Hoare__Mirabelle_Ohoare__derivs(X, Y, Z), true2, W, Y, Z, X) = fresh237(c_Hoare__Mirabelle_Ohoare__derivs(W, X, Z), true2, W, Y, Z).
% 155.30/20.61 Axiom 20 (cls_asm_0): fresh254(c_lessequals(X, Y, tc_fun(tc_Hoare__Mirabelle_Otriple(Z), tc_bool)), true2, Y, X, Z) = c_Hoare__Mirabelle_Ohoare__derivs(Y, X, Z).
% 155.30/20.61 Axiom 21 (cls_MGF__lemma1_1): fresh325(X, X, Y, Z) = c_Hoare__Mirabelle_Ohoare__derivs(Y, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, Z), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate).
% 155.30/20.61 Axiom 22 (cls_MGF_0): fresh321(c_Com_OWT__bodies, true2, X) = c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, X), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate).
% 155.30/20.61 Axiom 23 (cls_MGT__BodyN_0): fresh304(c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, X)), Y, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, X))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, Y, X) = c_Hoare__Mirabelle_Ohoare__derivs(Y, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, X)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate).
% 155.30/20.61
% 155.30/20.61 Lemma 24: c_Option_Oset(c_Option_Ooption_OSome(X, Y), Y) = hAPP(c_fequal(Y), X).
% 155.30/20.61 Proof:
% 155.30/20.61 c_Option_Oset(c_Option_Ooption_OSome(X, Y), Y)
% 155.30/20.61 = { by axiom 12 (cls_Option_Oset_Osimps_I2_J_0) }
% 155.30/20.61 c_Set_Oinsert(X, c_Orderings_Obot__class_Obot(tc_fun(Y, tc_bool)), Y)
% 155.30/20.61 = { by axiom 13 (cls_singleton__conv2_0) R->L }
% 155.30/20.61 c_Collect(hAPP(c_fequal(Y), X), Y)
% 155.30/20.61 = { by axiom 4 (cls_Collect__def_0) }
% 155.30/20.61 hAPP(c_fequal(Y), X)
% 155.30/20.61
% 155.30/20.61 Lemma 25: c_Hoare__Mirabelle_Ohoare__derivs(X, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, Y)), tc_Com_Ostate) = fresh325(Z, Z, X, Y).
% 155.30/20.61 Proof:
% 155.30/20.61 c_Hoare__Mirabelle_Ohoare__derivs(X, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, Y)), tc_Com_Ostate)
% 155.30/20.61 = { by lemma 24 R->L }
% 155.30/20.61 c_Hoare__Mirabelle_Ohoare__derivs(X, c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT, Y), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 155.30/20.61 = { by axiom 12 (cls_Option_Oset_Osimps_I2_J_0) }
% 155.30/20.61 c_Hoare__Mirabelle_Ohoare__derivs(X, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, Y), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 155.30/20.61 = { by axiom 21 (cls_MGF__lemma1_1) R->L }
% 155.30/20.61 fresh325(Z, Z, X, Y)
% 155.30/20.61
% 155.30/20.61 Goal 1 (cls_conjecture_5): c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) = true2.
% 155.30/20.61 Proof:
% 155.30/20.61 c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 155.30/20.61 = { by axiom 18 (cls_cut_0) R->L }
% 155.30/20.61 fresh238(true2, true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 155.30/20.61 = { by axiom 10 (cls_MGT__BodyN_0) R->L }
% 155.30/20.61 fresh238(fresh304(true2, true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 155.30/20.61 = { by axiom 15 (cls_asm_0) R->L }
% 155.30/20.61 fresh238(fresh304(fresh254(true2, true2, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Com_Ostate), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 155.30/20.61 = { by axiom 17 (cls_subset__insertI_0) R->L }
% 155.30/20.61 fresh238(fresh304(fresh254(c_lessequals(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), true2, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Com_Ostate), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 155.30/20.61 = { by axiom 20 (cls_asm_0) }
% 155.30/20.61 fresh238(fresh304(c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Com_Ostate), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 155.30/20.61 = { by lemma 25 }
% 155.30/20.61 fresh238(fresh304(fresh325(X, X, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), v_y), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 155.30/20.61 = { by axiom 8 (cls_the_Osimps_0) R->L }
% 155.30/20.61 fresh238(fresh304(fresh325(X, X, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Option_Othe(tc_Com_Ocom), c_Option_Ooption_OSome(v_y, tc_Com_Ocom))), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 155.30/20.61 = { by axiom 3 (cls_conjecture_3) R->L }
% 155.30/20.61 fresh238(fresh304(fresh325(X, X, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 157.95/20.61 = { by lemma 25 R->L }
% 157.95/20.61 fresh238(fresh304(c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)))), tc_Com_Ostate), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 157.95/20.61 = { by lemma 24 R->L }
% 157.95/20.61 fresh238(fresh304(c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 157.95/20.61 = { by axiom 12 (cls_Option_Oset_Osimps_I2_J_0) }
% 157.95/20.61 fresh238(fresh304(c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), v_pn), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 157.95/20.61 = { by axiom 23 (cls_MGT__BodyN_0) }
% 157.95/20.61 fresh238(c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate, hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)))
% 157.95/20.61 = { by axiom 19 (cls_cut_0) }
% 157.95/20.61 fresh237(c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), tc_Com_Ostate), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.61 = { by lemma 24 R->L }
% 157.95/20.61 fresh237(c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT, v_y), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.61 = { by axiom 12 (cls_Option_Oset_Osimps_I2_J_0) }
% 157.95/20.61 fresh237(c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, v_y), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.61 = { by axiom 22 (cls_MGF_0) R->L }
% 157.95/20.61 fresh237(fresh321(c_Com_OWT__bodies, true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.61 = { by axiom 2 (cls_conjecture_1) }
% 157.95/20.61 fresh237(fresh321(true2, true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.61 = { by axiom 6 (cls_MGF_0) }
% 157.95/20.61 fresh237(fresh322(c_Hoare__Mirabelle_Ostate__not__singleton, true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.61 = { by axiom 1 (cls_conjecture_0) }
% 157.95/20.61 fresh237(fresh322(true2, true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.61 = { by axiom 9 (cls_MGF_0) }
% 157.95/20.62 fresh237(fresh323(c_Com_OWT(v_y), true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.62 = { by axiom 11 (cls_WT__bodiesD_0) R->L }
% 157.95/20.62 fresh237(fresh323(fresh265(true2, true2, v_pn, v_y), true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.62 = { by axiom 2 (cls_conjecture_1) R->L }
% 157.95/20.62 fresh237(fresh323(fresh265(c_Com_OWT__bodies, true2, v_pn, v_y), true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.62 = { by axiom 14 (cls_WT__bodiesD_0) }
% 157.95/20.62 fresh237(fresh323(fresh264(hAPP(c_Com_Obody, v_pn), c_Option_Ooption_OSome(v_y, tc_Com_Ocom), v_y), true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.62 = { by axiom 3 (cls_conjecture_3) R->L }
% 157.95/20.62 fresh237(fresh323(fresh264(hAPP(c_Com_Obody, v_pn), hAPP(c_Com_Obody, v_pn), v_y), true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.62 = { by axiom 7 (cls_WT__bodiesD_0) }
% 157.95/20.62 fresh237(fresh323(true2, true2, v_y), true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.62 = { by axiom 5 (cls_MGF_0) }
% 157.95/20.62 fresh237(true2, true2, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 157.95/20.62 = { by axiom 16 (cls_cut_0) }
% 157.95/20.62 true2
% 157.95/20.62 % SZS output end Proof
% 157.95/20.62
% 157.95/20.62 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------