TSTP Solution File: SWV837-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV837-1 : 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 : n013.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 23:06:28 EDT 2023
% Result : Unsatisfiable 17.60s 2.64s
% Output : Proof 17.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV837-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % 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 : n013.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 10:49:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 17.60/2.64 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 17.60/2.64
% 17.60/2.64 % SZS status Unsatisfiable
% 17.60/2.64
% 17.60/2.64 % SZS output start Proof
% 17.60/2.64 Take the following subset of the input axioms:
% 17.60/2.64 fof(cls_conjecture_0, negated_conjecture, c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha, v_tsa, t_a)).
% 17.60/2.64 fof(cls_conjecture_3, negated_conjecture, c_Hoare__Mirabelle_Ohoare__derivs(v_Ga, v_G_Ha, t_a)).
% 17.60/2.64 fof(cls_conjecture_4, negated_conjecture, ~c_Hoare__Mirabelle_Ohoare__derivs(v_Ga, v_tsa, t_a)).
% 17.60/2.64 fof(cls_cut_0, axiom, ![T_a, V_G, V_ts, V_G_H]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | (~c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_G_H, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G_H, V_ts, T_a)))).
% 17.60/2.64
% 17.60/2.64 Now clausify the problem and encode Horn clauses using encoding 3 of
% 17.60/2.64 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 17.60/2.64 We repeatedly replace C & s=t => u=v by the two clauses:
% 17.60/2.64 fresh(y, y, x1...xn) = u
% 17.60/2.64 C => fresh(s, t, x1...xn) = v
% 17.60/2.64 where fresh is a fresh function symbol and x1..xn are the free
% 17.60/2.64 variables of u and v.
% 17.60/2.64 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 17.60/2.64 input problem has no model of domain size 1).
% 17.60/2.64
% 17.60/2.64 The encoding turns the above axioms into the following unit equations and goals:
% 17.60/2.64
% 17.60/2.64 Axiom 1 (cls_conjecture_3): c_Hoare__Mirabelle_Ohoare__derivs(v_Ga, v_G_Ha, t_a) = true2.
% 17.60/2.64 Axiom 2 (cls_conjecture_0): c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha, v_tsa, t_a) = true2.
% 17.60/2.64 Axiom 3 (cls_cut_0): fresh387(X, X, Y, Z, W) = true2.
% 17.60/2.64 Axiom 4 (cls_cut_0): fresh388(X, X, Y, Z, W, V) = c_Hoare__Mirabelle_Ohoare__derivs(Y, Z, W).
% 17.60/2.64 Axiom 5 (cls_cut_0): fresh388(c_Hoare__Mirabelle_Ohoare__derivs(X, Y, Z), true2, W, Y, Z, X) = fresh387(c_Hoare__Mirabelle_Ohoare__derivs(W, X, Z), true2, W, Y, Z).
% 17.60/2.64
% 17.60/2.64 Goal 1 (cls_conjecture_4): c_Hoare__Mirabelle_Ohoare__derivs(v_Ga, v_tsa, t_a) = true2.
% 17.60/2.64 Proof:
% 17.60/2.64 c_Hoare__Mirabelle_Ohoare__derivs(v_Ga, v_tsa, t_a)
% 17.60/2.64 = { by axiom 4 (cls_cut_0) R->L }
% 17.60/2.64 fresh388(true2, true2, v_Ga, v_tsa, t_a, v_G_Ha)
% 17.60/2.64 = { by axiom 2 (cls_conjecture_0) R->L }
% 17.60/2.64 fresh388(c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha, v_tsa, t_a), true2, v_Ga, v_tsa, t_a, v_G_Ha)
% 17.60/2.64 = { by axiom 5 (cls_cut_0) }
% 17.60/2.64 fresh387(c_Hoare__Mirabelle_Ohoare__derivs(v_Ga, v_G_Ha, t_a), true2, v_Ga, v_tsa, t_a)
% 17.60/2.64 = { by axiom 1 (cls_conjecture_3) }
% 17.60/2.64 fresh387(true2, true2, v_Ga, v_tsa, t_a)
% 17.60/2.64 = { by axiom 3 (cls_cut_0) }
% 17.60/2.64 true2
% 17.60/2.64 % SZS output end Proof
% 17.60/2.64
% 17.60/2.64 RESULT: Unsatisfiable (the axioms are contradictory).
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