%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW473+3 : 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 03:09:14 PM UTC 2026
% Result : Theorem 1.41s 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW473+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n009.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 09:58:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.22/0.47 % Drodi V4.1.1
% 1.41/0.73 % Refutation found
% 1.41/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.41/0.73 % SZS output start CNFRefutation for theBenchmark
% 1.41/0.73 fof(f412,axiom,(
% 1.41/0.73 (! [X_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),X_1)) )),
% 1.41/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.41/0.73 fof(f459,axiom,(
% 1.41/0.73 (! [Z_2,X_1,Y_1] :( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),Z_2))=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Z_2)) ) ) )),
% 1.41/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.41/0.73 fof(f571,axiom,(
% 1.41/0.73 (! [A_2,C_11,D_4] :( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_11),D_4))=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),C_11)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),D_4))) ) )),
% 1.41/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.41/0.73 fof(f575,axiom,(
% 1.41/0.73 (! [F,A_2,B] : image_pname_a(F,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,A_2)),image_pname_a(F,B)) )),
% 1.41/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.41/0.73 fof(f577,axiom,(
% 1.41/0.73 (! [F,X_1,A] :( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))=> hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A)) = image_pname_a(F,A) ) )),
% 1.41/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.41/0.73 fof(f1410,hypothesis,(
% 1.41/0.73 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ),
% 1.41/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.41/0.73 fof(f1413,hypothesis,(
% 1.41/0.73 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)) ),
% 1.41/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.41/0.73 fof(f1415,conjecture,(
% 1.41/0.73 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))) ),
% 1.41/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.41/0.73 fof(f1416,negated_conjecture,(
% 1.41/0.73 ~(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))) )),
% 1.41/0.73 inference(negated_conjecture,[status(cth)],[f1415])).
% 1.41/0.73 fof(f2695,plain,(
% 1.41/0.73 ![X0]: (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X0)))),
% 1.41/0.73 inference(cnf_transformation,[status(thm)],[f412])).
% 1.41/0.73 fof(f2835,plain,(
% 1.41/0.73 ![Z_2,X_1,Y_1]: (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),Z_2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Z_2))))),
% 1.41/0.73 inference(pre_NNF_transformation,[status(thm)],[f459])).
% 1.41/0.73 fof(f2836,plain,(
% 1.41/0.73 ![X_1,Y_1]: (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))|(![Z_2]: (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),Z_2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Z_2)))))),
% 1.41/0.73 inference(miniscoping,[status(thm)],[f2835])).
% 1.41/0.73 fof(f2837,plain,(
% 1.41/0.73 ![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)))),
% 1.41/0.73 inference(cnf_transformation,[status(thm)],[f2836])).
% 1.41/0.73 fof(f3169,plain,(
% 1.41/0.73 ![A_2,C_11,D_4]: (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_11),D_4))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),C_11)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),D_4))))),
% 1.41/0.73 inference(pre_NNF_transformation,[status(thm)],[f571])).
% 1.41/0.73 fof(f3170,plain,(
% 1.41/0.73 ![C_11,D_4]: (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_11),D_4))|(![A_2]: hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),C_11)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),D_4)))))),
% 1.41/0.73 inference(miniscoping,[status(thm)],[f3169])).
% 1.41/0.73 fof(f3171,plain,(
% 1.41/0.73 ![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,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2),X0)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2),X1))))),
% 1.41/0.73 inference(cnf_transformation,[status(thm)],[f3170])).
% 1.41/0.73 fof(f3179,plain,(
% 1.41/0.73 ![X0,X1,X2]: (image_pname_a(X0,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(X0,X1)),image_pname_a(X0,X2)))),
% 1.41/0.73 inference(cnf_transformation,[status(thm)],[f575])).
% 1.41/0.73 fof(f3183,plain,(
% 1.41/0.73 ![F,X_1,A]: (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A))=image_pname_a(F,A))),
% 1.41/0.73 inference(pre_NNF_transformation,[status(thm)],[f577])).
% 1.41/0.73 fof(f3184,plain,(
% 1.41/0.73 ![X_1,A]: (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|(![F]: hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A))=image_pname_a(F,A)))),
% 1.41/0.73 inference(miniscoping,[status(thm)],[f3183])).
% 1.41/0.73 fof(f3185,plain,(
% 1.41/0.73 ![X0,X1,X2]: (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(X2,X0)),image_pname_a(X2,X1))=image_pname_a(X2,X1))),
% 1.41/0.73 inference(cnf_transformation,[status(thm)],[f3184])).
% 1.41/0.73 fof(f5625,plain,(
% 1.41/0.73 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))),
% 1.41/0.73 inference(cnf_transformation,[status(thm)],[f1410])).
% 1.41/0.73 fof(f5628,plain,(
% 1.41/0.73 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u))),
% 1.41/0.73 inference(cnf_transformation,[status(thm)],[f1413])).
% 1.41/0.73 fof(f5630,plain,(
% 1.41/0.73 ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u)))),
% 1.41/0.73 inference(cnf_transformation,[status(thm)],[f1416])).
% 1.41/0.73 fof(f5946,plain,(
% 1.41/0.73 ![X0]: (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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))))),
% 1.41/0.73 inference(resolution,[status(thm)],[f2837,f5630])).
% 1.41/0.73 fof(f6113,plain,(
% 1.41/0.73 ![X0]: (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),g)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),image_pname_a(mgt_call,u)))))),
% 1.41/0.73 inference(resolution,[status(thm)],[f3171,f5625])).
% 1.41/0.73 fof(f6118,plain,(
% 1.41/0.73 ![X0,X1,X2]: (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))|image_pname_a(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),X1))=image_pname_a(X2,X1))),
% 1.41/0.73 inference(forward_demodulation,[status(thm)],[f3179,f3185])).
% 1.41/0.73 fof(f6119,plain,(
% 1.41/0.73 ![X0]: (image_pname_a(X0,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,pn),u))=image_pname_a(X0,u))),
% 1.41/0.73 inference(resolution,[status(thm)],[f6118,f5628])).
% 1.41/0.73 fof(f6985,plain,(
% 1.41/0.73 ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),image_pname_a(mgt_call,u)))),
% 1.41/0.73 inference(resolution,[status(thm)],[f6113,f5946])).
% 1.41/0.73 fof(f6999,plain,(
% 1.41/0.73 ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(mgt_call,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,pn),u))),image_pname_a(mgt_call,u)))),
% 1.41/0.75 inference(forward_demodulation,[status(thm)],[f3179,f6985])).
% 1.41/0.75 fof(f7000,plain,(
% 1.41/0.75 ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(mgt_call,u)),image_pname_a(mgt_call,u)))),
% 1.41/0.75 inference(forward_demodulation,[status(thm)],[f6119,f6999])).
% 1.41/0.75 fof(f7001,plain,(
% 1.41/0.75 $false),
% 1.41/0.75 inference(forward_subsumption_resolution,[status(thm)],[f7000,f2695])).
% 1.41/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 0.30/0.76 % Elapsed time: 0.403721 seconds
% 0.30/0.76 % CPU time: 2.135652 seconds
% 0.30/0.76 % Total memory used: 265.637 MB
% 0.30/0.76 % Net memory used: 263.607 MB
%------------------------------------------------------------------------------