TSTP Solution File: SWV889-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV889-1 : 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 : n012.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 23:06:39 EDT 2023
% Result : Unsatisfiable 16.72s 2.58s
% Output : Proof 16.72s
% 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 : SWV889-1 : 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
% 0.16/0.34 % Computer : n012.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Aug 29 08:24:39 EDT 2023
% 0.16/0.34 % CPUTime :
% 16.72/2.58 Command-line arguments: --ground-connectedness --complete-subsets
% 16.72/2.58
% 16.72/2.58 % SZS status Unsatisfiable
% 16.72/2.58
% 16.72/2.58 % SZS output start Proof
% 16.72/2.58 Take the following subset of the input axioms:
% 16.72/2.58 fof(cls_asm_0, axiom, ![T_a, V_G, V_ts]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_lessequals(V_ts, V_G, tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)))).
% 16.72/2.58 fof(cls_conjecture_1, negated_conjecture, c_Com_OWT__bodies).
% 16.72/2.58 fof(cls_conjecture_3, negated_conjecture, c_lessequals(v_ts, v_G, tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool))).
% 16.72/2.58 fof(cls_conjecture_4, negated_conjecture, ~c_Hoare__Mirabelle_Ohoare__derivs(v_G, v_ts, tc_Com_Ostate)).
% 16.72/2.58
% 16.72/2.58 Now clausify the problem and encode Horn clauses using encoding 3 of
% 16.72/2.58 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 16.72/2.58 We repeatedly replace C & s=t => u=v by the two clauses:
% 16.72/2.58 fresh(y, y, x1...xn) = u
% 16.72/2.58 C => fresh(s, t, x1...xn) = v
% 16.72/2.58 where fresh is a fresh function symbol and x1..xn are the free
% 16.72/2.58 variables of u and v.
% 16.72/2.58 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 16.72/2.58 input problem has no model of domain size 1).
% 16.72/2.58
% 16.72/2.58 The encoding turns the above axioms into the following unit equations and goals:
% 16.72/2.58
% 16.72/2.58 Axiom 1 (cls_conjecture_1): c_Com_OWT__bodies = true2.
% 16.72/2.58 Axiom 2 (cls_asm_0): fresh443(X, X, Y, Z, W) = true2.
% 16.72/2.58 Axiom 3 (cls_conjecture_3): c_lessequals(v_ts, v_G, tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)) = true2.
% 16.72/2.58 Axiom 4 (cls_asm_0): fresh443(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).
% 16.72/2.58
% 16.72/2.58 Goal 1 (cls_conjecture_4): c_Hoare__Mirabelle_Ohoare__derivs(v_G, v_ts, tc_Com_Ostate) = true2.
% 16.72/2.58 Proof:
% 16.72/2.58 c_Hoare__Mirabelle_Ohoare__derivs(v_G, v_ts, tc_Com_Ostate)
% 16.72/2.58 = { by axiom 4 (cls_asm_0) R->L }
% 16.72/2.58 fresh443(c_lessequals(v_ts, v_G, tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), true2, v_G, v_ts, tc_Com_Ostate)
% 16.72/2.58 = { by axiom 1 (cls_conjecture_1) R->L }
% 16.72/2.58 fresh443(c_lessequals(v_ts, v_G, tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Com_OWT__bodies, v_G, v_ts, tc_Com_Ostate)
% 16.72/2.58 = { by axiom 3 (cls_conjecture_3) }
% 16.72/2.58 fresh443(true2, c_Com_OWT__bodies, v_G, v_ts, tc_Com_Ostate)
% 16.72/2.58 = { by axiom 1 (cls_conjecture_1) R->L }
% 16.72/2.58 fresh443(c_Com_OWT__bodies, c_Com_OWT__bodies, v_G, v_ts, tc_Com_Ostate)
% 16.72/2.58 = { by axiom 2 (cls_asm_0) }
% 16.72/2.58 true2
% 16.72/2.58 % SZS output end Proof
% 16.72/2.58
% 16.72/2.58 RESULT: Unsatisfiable (the axioms are contradictory).
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