TSTP Solution File: SWV854-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV854-1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 23:06:31 EDT 2023
% Result : Unsatisfiable 39.02s 5.38s
% Output : Proof 39.02s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 11:08:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 39.02/5.38 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 39.02/5.38
% 39.02/5.38 % SZS status Unsatisfiable
% 39.02/5.38
% 39.02/5.38 % SZS output start Proof
% 39.02/5.38 Take the following subset of the input axioms:
% 39.02/5.39 fof(cls_Body__triple__valid__Suc_0, axiom, ![T_a, V_n, V_P, V_Q, V_pn]: (c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, V_n), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a), T_a) | ~c_Hoare__Mirabelle_Otriple__valid(V_n, c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_Q, T_a), T_a))).
% 39.02/5.39 fof(cls_conjecture_0, negated_conjecture, hBOOL(c_in(v_x, v_Procs, tc_Com_Opname))).
% 39.02/5.39 fof(cls_conjecture_1, negated_conjecture, ~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, v_na), c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, v_x), c_Com_Ocom_OBODY(v_x), hAPP(v_Q, v_x), t_a), t_a)).
% 39.02/5.39 fof(cls_conjecture_4, negated_conjecture, ![V_x]: (c_Hoare__Mirabelle_Otriple__valid(v_na, c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, V_x), c_Option_Othe(c_Com_Obody(V_x), tc_Com_Ocom), hAPP(v_Q, V_x), t_a), t_a) | ~hBOOL(c_in(V_x, v_Procs, tc_Com_Opname)))).
% 39.02/5.39
% 39.02/5.39 Now clausify the problem and encode Horn clauses using encoding 3 of
% 39.02/5.39 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 39.02/5.39 We repeatedly replace C & s=t => u=v by the two clauses:
% 39.02/5.39 fresh(y, y, x1...xn) = u
% 39.02/5.39 C => fresh(s, t, x1...xn) = v
% 39.02/5.39 where fresh is a fresh function symbol and x1..xn are the free
% 39.02/5.39 variables of u and v.
% 39.02/5.39 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 39.02/5.39 input problem has no model of domain size 1).
% 39.02/5.39
% 39.02/5.39 The encoding turns the above axioms into the following unit equations and goals:
% 39.02/5.39
% 39.02/5.39 Axiom 1 (cls_conjecture_4): fresh409(X, X, Y) = true2.
% 39.02/5.39 Axiom 2 (cls_conjecture_0): hBOOL(c_in(v_x, v_Procs, tc_Com_Opname)) = true2.
% 39.02/5.39 Axiom 3 (cls_Body__triple__valid__Suc_0): fresh498(X, X, Y, Z, W, V, U) = true2.
% 39.02/5.39 Axiom 4 (cls_conjecture_4): fresh409(hBOOL(c_in(X, v_Procs, tc_Com_Opname)), true2, X) = c_Hoare__Mirabelle_Otriple__valid(v_na, c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, X), c_Option_Othe(c_Com_Obody(X), tc_Com_Ocom), hAPP(v_Q, X), t_a), t_a).
% 39.02/5.39 Axiom 5 (cls_Body__triple__valid__Suc_0): fresh498(c_Hoare__Mirabelle_Otriple__valid(X, c_Hoare__Mirabelle_Otriple_Otriple(Y, c_Option_Othe(c_Com_Obody(Z), tc_Com_Ocom), W, V), V), true2, X, Y, Z, W, V) = c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, X), c_Hoare__Mirabelle_Otriple_Otriple(Y, c_Com_Ocom_OBODY(Z), W, V), V).
% 39.02/5.39
% 39.02/5.39 Goal 1 (cls_conjecture_1): c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, v_na), c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, v_x), c_Com_Ocom_OBODY(v_x), hAPP(v_Q, v_x), t_a), t_a) = true2.
% 39.02/5.39 Proof:
% 39.02/5.39 c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, v_na), c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, v_x), c_Com_Ocom_OBODY(v_x), hAPP(v_Q, v_x), t_a), t_a)
% 39.02/5.39 = { by axiom 5 (cls_Body__triple__valid__Suc_0) R->L }
% 39.02/5.39 fresh498(c_Hoare__Mirabelle_Otriple__valid(v_na, c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, v_x), c_Option_Othe(c_Com_Obody(v_x), tc_Com_Ocom), hAPP(v_Q, v_x), t_a), t_a), true2, v_na, hAPP(v_P, v_x), v_x, hAPP(v_Q, v_x), t_a)
% 39.02/5.39 = { by axiom 4 (cls_conjecture_4) R->L }
% 39.02/5.39 fresh498(fresh409(hBOOL(c_in(v_x, v_Procs, tc_Com_Opname)), true2, v_x), true2, v_na, hAPP(v_P, v_x), v_x, hAPP(v_Q, v_x), t_a)
% 39.02/5.39 = { by axiom 2 (cls_conjecture_0) }
% 39.02/5.39 fresh498(fresh409(true2, true2, v_x), true2, v_na, hAPP(v_P, v_x), v_x, hAPP(v_Q, v_x), t_a)
% 39.02/5.39 = { by axiom 1 (cls_conjecture_4) }
% 39.02/5.39 fresh498(true2, true2, v_na, hAPP(v_P, v_x), v_x, hAPP(v_Q, v_x), t_a)
% 39.02/5.39 = { by axiom 3 (cls_Body__triple__valid__Suc_0) }
% 39.02/5.39 true2
% 39.02/5.39 % SZS output end Proof
% 39.02/5.39
% 39.02/5.39 RESULT: Unsatisfiable (the axioms are contradictory).
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