TSTP Solution File: SWV840-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV840-1 : 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 : n024.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 23:06:29 EDT 2023
% Result : Unsatisfiable 17.19s 2.55s
% Output : Proof 17.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 05:30:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 17.19/2.55 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 17.19/2.55
% 17.19/2.55 % SZS status Unsatisfiable
% 17.19/2.55
% 17.19/2.55 % SZS output start Proof
% 17.19/2.55 Take the following subset of the input axioms:
% 17.19/2.56 fof(cls_conjecture_0, negated_conjecture, c_Hoare__Mirabelle_Ohoare__derivs(v_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a)).
% 17.19/2.56 fof(cls_conjecture_1, negated_conjecture, ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G, tc_Hoare__Mirabelle_Otriple(t_a)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a)).
% 17.19/2.56 fof(cls_subset__insertI_0, axiom, ![T_a, V_a, V_B]: c_lessequals(V_B, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool))).
% 17.19/2.56 fof(cls_thin_0, axiom, ![V_G, V_ts, V_G_H, T_a2]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a2) | (~c_lessequals(V_G_H, V_G, tc_fun(tc_Hoare__Mirabelle_Otriple(T_a2), tc_bool)) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G_H, V_ts, T_a2)))).
% 17.19/2.56
% 17.19/2.56 Now clausify the problem and encode Horn clauses using encoding 3 of
% 17.19/2.56 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 17.19/2.56 We repeatedly replace C & s=t => u=v by the two clauses:
% 17.19/2.56 fresh(y, y, x1...xn) = u
% 17.19/2.56 C => fresh(s, t, x1...xn) = v
% 17.19/2.56 where fresh is a fresh function symbol and x1..xn are the free
% 17.19/2.56 variables of u and v.
% 17.19/2.56 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 17.19/2.56 input problem has no model of domain size 1).
% 17.19/2.56
% 17.19/2.56 The encoding turns the above axioms into the following unit equations and goals:
% 17.19/2.56
% 17.19/2.56 Axiom 1 (cls_thin_0): fresh90(X, X, Y, Z, W) = true2.
% 17.19/2.56 Axiom 2 (cls_subset__insertI_0): c_lessequals(X, c_Set_Oinsert(Y, X, Z), tc_fun(Z, tc_bool)) = true2.
% 17.19/2.56 Axiom 3 (cls_thin_0): fresh91(X, X, Y, Z, W, V) = c_Hoare__Mirabelle_Ohoare__derivs(Y, Z, W).
% 17.19/2.56 Axiom 4 (cls_thin_0): fresh91(c_Hoare__Mirabelle_Ohoare__derivs(X, Y, Z), true2, W, Y, Z, X) = fresh90(c_lessequals(X, W, tc_fun(tc_Hoare__Mirabelle_Otriple(Z), tc_bool)), true2, W, Y, Z).
% 17.19/2.56 Axiom 5 (cls_conjecture_0): c_Hoare__Mirabelle_Ohoare__derivs(v_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a) = true2.
% 17.19/2.56
% 17.19/2.56 Goal 1 (cls_conjecture_1): c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G, tc_Hoare__Mirabelle_Otriple(t_a)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a) = true2.
% 17.19/2.56 Proof:
% 17.19/2.56 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G, tc_Hoare__Mirabelle_Otriple(t_a)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a)
% 17.19/2.56 = { by axiom 3 (cls_thin_0) R->L }
% 17.19/2.56 fresh91(true2, true2, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G, tc_Hoare__Mirabelle_Otriple(t_a)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a, v_G)
% 17.19/2.56 = { by axiom 5 (cls_conjecture_0) R->L }
% 17.19/2.56 fresh91(c_Hoare__Mirabelle_Ohoare__derivs(v_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a), true2, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G, tc_Hoare__Mirabelle_Otriple(t_a)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a, v_G)
% 17.19/2.56 = { by axiom 4 (cls_thin_0) }
% 17.19/2.56 fresh90(c_lessequals(v_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G, tc_Hoare__Mirabelle_Otriple(t_a)), tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), true2, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G, tc_Hoare__Mirabelle_Otriple(t_a)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a)
% 17.19/2.56 = { by axiom 2 (cls_subset__insertI_0) }
% 17.19/2.56 fresh90(true2, true2, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G, tc_Hoare__Mirabelle_Otriple(t_a)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(t_a)), t_a)
% 17.19/2.56 = { by axiom 1 (cls_thin_0) }
% 17.19/2.56 true2
% 17.19/2.56 % SZS output end Proof
% 17.19/2.56
% 17.19/2.56 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------