%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW473+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:09:13 PM UTC 2026
% Result : Theorem 0.13s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW473+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 09:58:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.56 % Refutation found
% 0.13/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.56 fof(f343,axiom,(
% 0.13/0.56 (! [F,X_2,A] :( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_2)),image_pname_a(F,A))) ) )),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f356,axiom,(
% 0.13/0.56 (! [X_2,A,B] :( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_2,A)),B))<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B))& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) )),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f444,hypothesis,(
% 0.13/0.56 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f447,hypothesis,(
% 0.13/0.56 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f449,conjecture,(
% 0.13/0.56 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))) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f450,negated_conjecture,(
% 0.13/0.56 ~(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))) )),
% 0.13/0.56 inference(negated_conjecture,[status(cth)],[f449])).
% 0.13/0.56 fof(f1360,plain,(
% 0.13/0.56 ![F,X_2,A]: (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_2)),image_pname_a(F,A))))),
% 0.13/0.56 inference(pre_NNF_transformation,[status(thm)],[f343])).
% 0.13/0.56 fof(f1361,plain,(
% 0.13/0.56 ![X_2,A]: (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))|(![F]: hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_2)),image_pname_a(F,A)))))),
% 0.13/0.56 inference(miniscoping,[status(thm)],[f1360])).
% 0.13/0.56 fof(f1362,plain,(
% 0.13/0.56 ![X0,X1,X2]: (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2,X0)),image_pname_a(X2,X1))))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f1361])).
% 0.13/0.56 fof(f1385,plain,(
% 0.13/0.56 ![X_2,A,B]: ((~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_2,A)),B))|(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_2,A)),B))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)))))),
% 0.13/0.56 inference(NNF_transformation,[status(thm)],[f356])).
% 0.13/0.56 fof(f1386,plain,(
% 0.13/0.56 (![X_2,A,B]: (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_2,A)),B))|(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)))))&(![X_2,A,B]: (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_2,A)),B))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)))))),
% 0.13/0.56 inference(miniscoping,[status(thm)],[f1385])).
% 0.13/0.56 fof(f1389,plain,(
% 0.13/0.56 ![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_a85458249l_bool(member_a,X0),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f1386])).
% 0.13/0.56 fof(f1557,plain,(
% 0.13/0.56 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f444])).
% 0.13/0.56 fof(f1560,plain,(
% 0.13/0.56 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f447])).
% 0.13/0.57 fof(f1562,plain,(
% 0.13/0.57 ~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)))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f450])).
% 0.13/0.57 fof(f2060,plain,(
% 0.13/0.57 ![X0]: (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,g)),image_pname_a(mgt_call,u)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(mgt_call,u))))),
% 0.13/0.57 inference(resolution,[status(thm)],[f1557,f1389])).
% 0.13/0.57 fof(f2065,plain,(
% 0.13/0.57 ![X0]: (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0,pn)),image_pname_a(X0,u))))),
% 0.13/0.57 inference(resolution,[status(thm)],[f1560,f1362])).
% 0.13/0.57 fof(f4008,plain,(
% 0.13/0.57 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)))),
% 0.13/0.57 inference(resolution,[status(thm)],[f2065,f2060])).
% 0.13/0.57 fof(f4013,plain,(
% 0.13/0.57 $false),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f4008,f1562])).
% 0.13/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.58 % Elapsed time: 0.214654 seconds
% 0.13/0.58 % CPU time: 1.327611 seconds
% 0.13/0.58 % Total memory used: 157.766 MB
% 0.13/0.58 % Net memory used: 155.982 MB
%------------------------------------------------------------------------------