TSTP Solution File: SWV902-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV902-1 : 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 : n026.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 23:06:42 EDT 2023
% Result : Unsatisfiable 59.43s 8.04s
% Output : Proof 59.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV902-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:03:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 59.43/8.04 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 59.43/8.04
% 59.43/8.04 % SZS status Unsatisfiable
% 59.43/8.04
% 59.43/8.05 % SZS output start Proof
% 59.43/8.05 Take the following subset of the input axioms:
% 59.43/8.05 fof(cls_COMBB__def_0, axiom, ![T_a, T_b, V_P, V_Q, T_c, V_R]: hAPP(c_COMBB(V_P, V_Q, T_b, T_a, T_c), V_R)=hAPP(V_P, hAPP(V_Q, V_R))).
% 59.43/8.05 fof(cls_CollectI_0, axiom, ![V_a, T_a2, V_P2]: (hBOOL(c_in(V_a, c_Collect(V_P2, T_a2), T_a2)) | ~hBOOL(hAPP(V_P2, V_a)))).
% 59.43/8.05 fof(cls_Collect__def_0, axiom, ![T_a2, V_P2]: c_Collect(V_P2, T_a2)=V_P2).
% 59.43/8.05 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)).
% 59.43/8.05 fof(cls_asm_0, axiom, ![V_G, V_ts, T_a2]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a2) | ~c_lessequals(V_ts, V_G, tc_fun(tc_Hoare__Mirabelle_Otriple(T_a2), tc_bool)))).
% 59.43/8.05 fof(cls_conjecture_6, negated_conjecture, hBOOL(c_in(v_x, c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname))).
% 59.43/8.05 fof(cls_conjecture_7, negated_conjecture, ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_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)).
% 59.43/8.05 fof(cls_derivs__insertD_0, axiom, ![V_t, T_a2, V_G2, V_ts2]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G2, c_Set_Oinsert(V_t, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a2), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a2)), T_a2) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G2, c_Set_Oinsert(V_t, V_ts2, tc_Hoare__Mirabelle_Otriple(T_a2)), T_a2))).
% 59.43/8.05 fof(cls_image__insert_0, axiom, ![V_B, V_f, T_a2, V_a2, T_b2]: c_Set_Oimage(V_f, c_Set_Oinsert(V_a2, V_B, T_b2), T_b2, T_a2)=c_Set_Oinsert(hAPP(V_f, V_a2), c_Set_Oimage(V_f, V_B, T_b2, T_a2), T_a2)).
% 59.43/8.05 fof(cls_insert__absorb_0, axiom, ![V_A, T_a2, V_a2]: (c_Set_Oinsert(V_a2, V_A, T_a2)=V_A | ~hBOOL(c_in(V_a2, V_A, T_a2)))).
% 59.43/8.05 fof(cls_insert__code_1, axiom, ![V_A2, T_a2, V_x2]: hBOOL(hAPP(c_Set_Oinsert(V_x2, V_A2, T_a2), V_x2))).
% 59.43/8.05 fof(cls_singleton__conv2_0, axiom, ![T_a2, V_a2]: c_Collect(hAPP(c_fequal(T_a2), V_a2), T_a2)=c_Set_Oinsert(V_a2, c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool)), T_a2)).
% 59.43/8.05 fof(cls_subset__refl_0, axiom, ![V_A2, T_a2]: c_lessequals(V_A2, V_A2, tc_fun(T_a2, tc_bool))).
% 59.43/8.05
% 59.43/8.05 Now clausify the problem and encode Horn clauses using encoding 3 of
% 59.43/8.05 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 59.43/8.05 We repeatedly replace C & s=t => u=v by the two clauses:
% 59.43/8.05 fresh(y, y, x1...xn) = u
% 59.43/8.05 C => fresh(s, t, x1...xn) = v
% 59.43/8.05 where fresh is a fresh function symbol and x1..xn are the free
% 59.43/8.05 variables of u and v.
% 59.43/8.05 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 59.43/8.05 input problem has no model of domain size 1).
% 59.43/8.05
% 59.43/8.05 The encoding turns the above axioms into the following unit equations and goals:
% 59.43/8.05
% 59.43/8.05 Axiom 1 (cls_Collect__def_0): c_Collect(X, Y) = X.
% 59.43/8.05 Axiom 2 (cls_subset__refl_0): c_lessequals(X, X, tc_fun(Y, tc_bool)) = true2.
% 59.43/8.05 Axiom 3 (cls_insert__code_1): hBOOL(hAPP(c_Set_Oinsert(X, Y, Z), X)) = true2.
% 59.43/8.05 Axiom 4 (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).
% 59.43/8.05 Axiom 5 (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).
% 59.43/8.05 Axiom 6 (cls_CollectI_0): fresh536(X, X, Y, Z, W) = true2.
% 59.43/8.05 Axiom 7 (cls_asm_0): fresh469(X, X, Y, Z, W) = true2.
% 59.43/8.05 Axiom 8 (cls_derivs__insertD_0): fresh434(X, X, Y, Z, W) = true2.
% 59.43/8.05 Axiom 9 (cls_insert__absorb_0): fresh11(X, X, Y, Z, W) = Z.
% 59.43/8.05 Axiom 10 (cls_COMBB__def_0): hAPP(c_COMBB(X, Y, Z, W, V), U) = hAPP(X, hAPP(Y, U)).
% 59.43/8.05 Axiom 11 (cls_conjecture_6): hBOOL(c_in(v_x, c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname)) = true2.
% 59.43/8.05 Axiom 12 (cls_image__insert_0): c_Set_Oimage(X, c_Set_Oinsert(Y, Z, W), W, V) = c_Set_Oinsert(hAPP(X, Y), c_Set_Oimage(X, Z, W, V), V).
% 59.43/8.05 Axiom 13 (cls_CollectI_0): fresh536(hBOOL(hAPP(X, Y)), true2, Y, X, Z) = hBOOL(c_in(Y, c_Collect(X, Z), Z)).
% 59.43/8.05 Axiom 14 (cls_insert__absorb_0): fresh11(hBOOL(c_in(X, Y, Z)), true2, X, Y, Z) = c_Set_Oinsert(X, Y, Z).
% 59.43/8.05 Axiom 15 (cls_asm_0): fresh469(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).
% 59.43/8.05 Axiom 16 (cls_derivs__insertD_0): fresh434(c_Hoare__Mirabelle_Ohoare__derivs(X, c_Set_Oinsert(Y, Z, tc_Hoare__Mirabelle_Otriple(W)), W), true2, X, Y, W) = c_Hoare__Mirabelle_Ohoare__derivs(X, c_Set_Oinsert(Y, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(W), tc_bool)), tc_Hoare__Mirabelle_Otriple(W)), W).
% 59.43/8.05
% 59.43/8.05 Lemma 17: c_Option_Oset(c_Option_Ooption_OSome(X, Y), Y) = hAPP(c_fequal(Y), X).
% 59.43/8.05 Proof:
% 59.43/8.05 c_Option_Oset(c_Option_Ooption_OSome(X, Y), Y)
% 59.43/8.05 = { by axiom 4 (cls_Option_Oset_Osimps_I2_J_0) }
% 59.43/8.05 c_Set_Oinsert(X, c_Orderings_Obot__class_Obot(tc_fun(Y, tc_bool)), Y)
% 59.43/8.05 = { by axiom 5 (cls_singleton__conv2_0) R->L }
% 59.43/8.05 c_Collect(hAPP(c_fequal(Y), X), Y)
% 59.43/8.05 = { by axiom 1 (cls_Collect__def_0) }
% 59.43/8.05 hAPP(c_fequal(Y), X)
% 59.43/8.05
% 59.43/8.05 Goal 1 (cls_conjecture_7): c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_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.
% 59.43/8.05 Proof:
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_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)
% 59.43/8.05 = { by axiom 4 (cls_Option_Oset_Osimps_I2_J_0) R->L }
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 59.43/8.05 = { by lemma 17 }
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.05 = { by axiom 9 (cls_insert__absorb_0) R->L }
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(true2, true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.05 = { by axiom 6 (cls_CollectI_0) R->L }
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(fresh536(true2, true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.05 = { by axiom 3 (cls_insert__code_1) R->L }
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(fresh536(hBOOL(hAPP(c_Set_Oinsert(hAPP(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), v_x), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), v_x))), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.05 = { by axiom 12 (cls_image__insert_0) R->L }
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(fresh536(hBOOL(hAPP(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Set_Oinsert(v_x, c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), v_x))), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.05 = { by axiom 14 (cls_insert__absorb_0) R->L }
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(fresh536(hBOOL(hAPP(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), fresh11(hBOOL(c_in(v_x, c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname)), true2, v_x, c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), v_x))), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.05 = { by axiom 11 (cls_conjecture_6) }
% 59.43/8.05 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(fresh536(hBOOL(hAPP(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), fresh11(true2, true2, v_x, c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), v_x))), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.05 = { by axiom 9 (cls_insert__absorb_0) }
% 59.43/8.06 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(fresh536(hBOOL(hAPP(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), v_x))), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 10 (cls_COMBB__def_0) }
% 59.43/8.06 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(fresh536(hBOOL(hAPP(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)))), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 13 (cls_CollectI_0) }
% 59.43/8.06 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(hBOOL(c_in(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Collect(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 1 (cls_Collect__def_0) }
% 59.43/8.06 c_Hoare__Mirabelle_Ohoare__derivs(fresh11(hBOOL(c_in(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))), true2, hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 14 (cls_insert__absorb_0) }
% 59.43/8.06 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x))), tc_Com_Ostate)
% 59.43/8.06 = { by lemma 17 R->L }
% 59.43/8.06 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 4 (cls_Option_Oset_Osimps_I2_J_0) }
% 59.43/8.06 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_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)
% 59.43/8.06 = { by axiom 16 (cls_derivs__insertD_0) R->L }
% 59.43/8.06 fresh434(c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 15 (cls_asm_0) R->L }
% 59.43/8.06 fresh434(fresh469(c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), 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_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 2 (cls_subset__refl_0) }
% 59.43/8.06 fresh434(fresh469(true2, true2, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate), true2, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 7 (cls_asm_0) }
% 59.43/8.06 fresh434(true2, true2, c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_x)), tc_Com_Ostate)
% 59.43/8.06 = { by axiom 8 (cls_derivs__insertD_0) }
% 59.43/8.06 true2
% 59.43/8.06 % SZS output end Proof
% 59.43/8.06
% 59.43/8.06 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------