TSTP Solution File: SWW473+2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : Wed May 31 12:45:04 EDT 2023
% Result : Theorem 2.00s 0.79s
% Output : CNFRefutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 70 ( 8 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 22 |; 5 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 71 (; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f372,axiom,
! [A_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),A_1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f402,axiom,
! [C_6,A_1,B_6] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),C_6))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),C_6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f428,axiom,
! [X_3,A_1,B_6] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f437,axiom,
! [A_3,C_6,D_1] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),D_1))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(A_3,C_6)),insert_a(A_3,D_1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f441,axiom,
! [F,A_3,B_6] : image_pname_a(F,insert_pname(A_3,B_6)) = insert_a(hAPP_pname_a(F,A_3),image_pname_a(F,B_6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f447,axiom,
! [F,X_3,A_1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
=> insert_a(hAPP_pname_a(F,X_3),image_pname_a(F,A_1)) = image_pname_a(F,A_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f912,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f915,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f917,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f918,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(negated_conjecture,[status(cth)],[f917]) ).
fof(f2061,plain,
! [X0] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X0)),
inference(cnf_transformation,[status(esa)],[f372]) ).
fof(f2144,plain,
! [C_6,A_1,B_6] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),C_6))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),C_6)) ),
inference(pre_NNF_transformation,[status(esa)],[f402]) ).
fof(f2145,plain,
! [A_1,B_6] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
| ! [C_6] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),C_6))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),C_6)) ) ),
inference(miniscoping,[status(esa)],[f2144]) ).
fof(f2146,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X2)) ),
inference(cnf_transformation,[status(esa)],[f2145]) ).
fof(f2213,plain,
! [X_3,A_1,B_6] :
( ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))
| ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) ),
inference(NNF_transformation,[status(esa)],[f428]) ).
fof(f2214,plain,
( ! [X_3,A_1,B_6] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))
| ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) )
& ! [X_3,A_1,B_6] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) ),
inference(miniscoping,[status(esa)],[f2213]) ).
fof(f2216,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(cnf_transformation,[status(esa)],[f2214]) ).
fof(f2248,plain,
! [A_3,C_6,D_1] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),D_1))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(A_3,C_6)),insert_a(A_3,D_1))) ),
inference(pre_NNF_transformation,[status(esa)],[f437]) ).
fof(f2249,plain,
! [C_6,D_1] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),D_1))
| ! [A_3] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(A_3,C_6)),insert_a(A_3,D_1))) ),
inference(miniscoping,[status(esa)],[f2248]) ).
fof(f2250,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2,X0)),insert_a(X2,X1))) ),
inference(cnf_transformation,[status(esa)],[f2249]) ).
fof(f2254,plain,
! [X0,X1,X2] : image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)),
inference(cnf_transformation,[status(esa)],[f441]) ).
fof(f2270,plain,
! [F,X_3,A_1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
| insert_a(hAPP_pname_a(F,X_3),image_pname_a(F,A_1)) = image_pname_a(F,A_1) ),
inference(pre_NNF_transformation,[status(esa)],[f447]) ).
fof(f2271,plain,
! [X_3,A_1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
| ! [F] : insert_a(hAPP_pname_a(F,X_3),image_pname_a(F,A_1)) = image_pname_a(F,A_1) ),
inference(miniscoping,[status(esa)],[f2270]) ).
fof(f2272,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| insert_a(hAPP_pname_a(X2,X0),image_pname_a(X2,X1)) = image_pname_a(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f2271]) ).
fof(f3557,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[status(esa)],[f912]) ).
fof(f3560,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[status(esa)],[f915]) ).
fof(f3562,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[status(esa)],[f918]) ).
fof(f3677,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| image_pname_a(X2,insert_pname(X0,X1)) = image_pname_a(X2,X1) ),
inference(forward_demodulation,[status(thm)],[f2254,f2272]) ).
fof(f4161,plain,
! [X0] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,g)),insert_a(X0,image_pname_a(mgt_call,u)))),
inference(resolution,[status(thm)],[f2250,f3557]) ).
fof(f4869,plain,
! [X0] : image_pname_a(X0,insert_pname(pn,u)) = image_pname_a(X0,u),
inference(resolution,[status(thm)],[f3677,f3560]) ).
fof(f5872,plain,
! [X0] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),image_pname_a(mgt_call,u))) ),
inference(resolution,[status(thm)],[f2146,f3562]) ).
fof(f5942,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X0)),image_pname_a(mgt_call,u))) ),
inference(resolution,[status(thm)],[f5872,f2216]) ).
fof(f6324,plain,
! [X0] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,insert_a(hAPP_pname_a(mgt_call,pn),image_pname_a(mgt_call,u)))),image_pname_a(mgt_call,u))),
inference(resolution,[status(thm)],[f5942,f4161]) ).
fof(f6325,plain,
! [X0] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,image_pname_a(mgt_call,insert_pname(pn,u)))),image_pname_a(mgt_call,u))),
inference(forward_demodulation,[status(thm)],[f2254,f6324]) ).
fof(f6326,plain,
! [X0] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,image_pname_a(mgt_call,u))),image_pname_a(mgt_call,u))),
inference(forward_demodulation,[status(thm)],[f4869,f6325]) ).
fof(f6340,plain,
! [X0] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(mgt_call,insert_pname(X0,u))),image_pname_a(mgt_call,u))),
inference(paramodulation,[status(thm)],[f2254,f6326]) ).
fof(f6343,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(mgt_call,u)),image_pname_a(mgt_call,u))),
inference(paramodulation,[status(thm)],[f4869,f6340]) ).
fof(f6344,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6343,f2061]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n025.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue May 30 11:10:42 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.15/0.39 % Drodi V3.5.1
% 2.00/0.79 % Refutation found
% 2.00/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.00/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.37/0.83 % Elapsed time: 0.486012 seconds
% 2.37/0.83 % CPU time: 2.476074 seconds
% 2.37/0.83 % Memory used: 146.521 MB
%------------------------------------------------------------------------------