TSTP Solution File: SWV900-1 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV900-1 : 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 : n009.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 23:06:41 EDT 2023
% Result : Unsatisfiable 14.87s 2.27s
% Output : Proof 14.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV900-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13 % 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 : n009.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 07:04:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 14.87/2.27 Command-line arguments: --no-flatten-goal
% 14.87/2.27
% 14.87/2.27 % SZS status Unsatisfiable
% 14.87/2.27
% 14.87/2.27 % SZS output start Proof
% 14.87/2.27 Take the following subset of the input axioms:
% 14.87/2.27 fof(cls_conjecture_3, 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_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Com_Ostate)).
% 14.87/2.27 fof(cls_empty_0, axiom, ![T_a, V_G]: c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), T_a)).
% 14.87/2.27
% 14.87/2.27 Now clausify the problem and encode Horn clauses using encoding 3 of
% 14.87/2.27 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 14.87/2.27 We repeatedly replace C & s=t => u=v by the two clauses:
% 14.87/2.27 fresh(y, y, x1...xn) = u
% 14.87/2.27 C => fresh(s, t, x1...xn) = v
% 14.87/2.27 where fresh is a fresh function symbol and x1..xn are the free
% 14.87/2.27 variables of u and v.
% 14.87/2.27 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 14.87/2.27 input problem has no model of domain size 1).
% 14.87/2.27
% 14.87/2.27 The encoding turns the above axioms into the following unit equations and goals:
% 14.87/2.27
% 14.87/2.27 Axiom 1 (cls_empty_0): c_Hoare__Mirabelle_Ohoare__derivs(X, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(Y), tc_bool)), Y) = true2.
% 14.87/2.27
% 14.87/2.27 Goal 1 (cls_conjecture_3): 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_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Com_Ostate) = true2.
% 14.87/2.27 Proof:
% 14.87/2.27 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_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Com_Ostate)
% 14.87/2.27 = { by axiom 1 (cls_empty_0) }
% 14.87/2.27 true2
% 14.87/2.27 % SZS output end Proof
% 14.87/2.27
% 14.87/2.27 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------