%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : SWV835-1 : 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 : n020.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 23:06:27 EDT 2023

% Result   : Unsatisfiable 16.71s 2.81s
% Output   : Proof 16.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV835-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35  % Computer : n020.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 03:45:13 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 16.71/2.81  Command-line arguments: --no-flatten-goal
% 16.71/2.81  
% 16.71/2.81  % SZS status Unsatisfiable
% 16.71/2.81  
% 16.71/2.81  % SZS output start Proof
% 16.71/2.81  Take the following subset of the input axioms:
% 16.71/2.81    fof(cls_conjecture_1, negated_conjecture, ~c_Hoare__Mirabelle_Ohoare__derivs(v_x, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), t_a)).
% 16.71/2.81    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)).
% 16.71/2.81  
% 16.71/2.81  Now clausify the problem and encode Horn clauses using encoding 3 of
% 16.71/2.81  http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 16.71/2.81  We repeatedly replace C & s=t => u=v by the two clauses:
% 16.71/2.81    fresh(y, y, x1...xn) = u
% 16.71/2.81    C => fresh(s, t, x1...xn) = v
% 16.71/2.81  where fresh is a fresh function symbol and x1..xn are the free
% 16.71/2.81  variables of u and v.
% 16.71/2.81  A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 16.71/2.81  input problem has no model of domain size 1).
% 16.71/2.81  
% 16.71/2.81  The encoding turns the above axioms into the following unit equations and goals:
% 16.71/2.81  
% 16.71/2.81  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.
% 16.71/2.81  
% 16.71/2.81  Goal 1 (cls_conjecture_1): c_Hoare__Mirabelle_Ohoare__derivs(v_x, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), t_a) = true2.
% 16.71/2.81  Proof:
% 16.71/2.81    c_Hoare__Mirabelle_Ohoare__derivs(v_x, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool)), t_a)
% 16.71/2.81  = { by axiom 1 (cls_empty_0) }
% 16.71/2.81    true2
% 16.71/2.81  % SZS output end Proof
% 16.71/2.81  
% 16.71/2.81  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------