TSTP Solution File: SWW317+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWW317+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Mar  6 16:02:50 EST 2011

% Result   : Theorem 12.06s
% Output   : CNFRefutation 12.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-4 aty)
%            Number of variables   :   26 (   3 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(298,axiom,
    ! [X47,X3] : hAPP(c_Set_OCollect(X3),X47) = X47,
    file('/tmp/tmpwStJGZ/sel_SWW317+1.p_1',fact_Collect__def) ).

fof(375,axiom,
    ! [X32,X3] : hAPP(c_Set_OCollect(X3),hAPP(c_fequal,X32)) = hAPP(hAPP(c_Set_Oinsert(X3),X32),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))),
    file('/tmp/tmpwStJGZ/sel_SWW317+1.p_1',fact_singleton__conv2) ).

fof(607,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/tmp/tmpwStJGZ/sel_SWW317+1.p_1',conj_1) ).

fof(2140,axiom,
    ! [X99,X98,X3] : c_Hoare__Mirabelle_Ohoare__derivs(X3,X98,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X99,c_Com_Ocom_OSKIP,X99)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))),
    file('/tmp/tmpwStJGZ/sel_SWW317+1.p_1',fact_hoare__derivs_Oequations_I7_J) ).

fof(5243,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(assume_negation,[status(cth)],[607]) ).

fof(5300,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[5243,theory(equality)]) ).

fof(6663,plain,
    ! [X48,X49] : hAPP(c_Set_OCollect(X49),X48) = X48,
    inference(variable_rename,[status(thm)],[298]) ).

cnf(6664,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[6663]) ).

fof(6891,plain,
    ! [X33,X34] : hAPP(c_Set_OCollect(X34),hAPP(c_fequal,X33)) = hAPP(hAPP(c_Set_Oinsert(X34),X33),c_Orderings_Obot__class_Obot(tc_fun(X34,tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[375]) ).

cnf(6892,plain,
    hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[6891]) ).

cnf(7652,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[5300]) ).

fof(12700,plain,
    ! [X100,X101,X102] : c_Hoare__Mirabelle_Ohoare__derivs(X102,X101,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X102)),c_Hoare__Mirabelle_Otriple_Otriple(X102,X100,c_Com_Ocom_OSKIP,X100)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X102),tc_HOL_Obool)))),
    inference(variable_rename,[status(thm)],[2140]) ).

cnf(12701,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,c_Com_Ocom_OSKIP,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[12700]) ).

cnf(26142,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
    inference(rw,[status(thm)],[6892,6664,theory(equality)]) ).

cnf(26257,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,c_Com_Ocom_OSKIP,X3))),
    inference(rw,[status(thm)],[12701,26142,theory(equality)]) ).

cnf(34008,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[7652,26142,theory(equality)]),26257,theory(equality)]) ).

cnf(34009,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[34008,theory(equality)]) ).

cnf(34010,negated_conjecture,
    $false,
    34009,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWW/SWW317+1.p
% --creating new selector for []
% -running prover on /tmp/tmpwStJGZ/sel_SWW317+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWW317+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SWW317+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SWW317+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------