%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW360+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 03:09:01 PM UTC 2026
% Result : Theorem 51.57s 7.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW360+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:52:06 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.79/1.06 % Drodi V4.1.1
% 51.57/7.55 % Refutation found
% 51.57/7.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 51.57/7.55 % SZS output start CNFRefutation for theBenchmark
% 51.57/7.55 fof(f7,axiom,(
% 51.57/7.55 (! [V_G_2,V_ts_2] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))=> v_P(V_G_2,V_ts_2) ) )),
% 51.57/7.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.57/7.55 fof(f86,axiom,(
% 51.57/7.55 (! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :( V_b_2 = hAPP(V_f_2,V_x_2)=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))=> hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) )),
% 51.57/7.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.57/7.55 fof(f118,axiom,(
% 51.57/7.55 (! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 )),
% 51.57/7.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.57/7.55 fof(f121,axiom,(
% 51.57/7.55 (! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )),
% 51.57/7.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.57/7.55 fof(f125,axiom,(
% 51.57/7.55 (! [V_B_2,V_A_2,T_b] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))<=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) )),
% 51.57/7.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.57/7.55 fof(f135,axiom,(
% 51.57/7.55 (! [V_A_2,V_a_2,T_b] :( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))=> hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) )),
% 51.57/7.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.57/7.55 fof(f5226,conjecture,(
% 51.57/7.55 (! [B_x] :( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))=> v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) )),
% 51.57/7.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.57/7.55 fof(f5227,negated_conjecture,(
% 51.57/7.55 ~((! [B_x] :( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))=> v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ))),
% 51.57/7.55 inference(negated_conjecture,[status(cth)],[f5226])).
% 51.57/7.55 fof(f5244,plain,(
% 51.57/7.55 ![V_G_2,V_ts_2]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))|v_P(V_G_2,V_ts_2))),
% 51.57/7.55 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 51.57/7.55 fof(f5245,plain,(
% 51.57/7.55 ![X0,X1]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X0),X1))|v_P(X1,X0))),
% 51.57/7.55 inference(cnf_transformation,[status(thm)],[f5244])).
% 51.57/7.55 fof(f5490,plain,(
% 51.57/7.55 ![T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2]: (~V_b_2=hAPP(V_f_2,V_x_2)|(~hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))))),
% 51.57/7.55 inference(pre_NNF_transformation,[status(thm)],[f86])).
% 51.57/7.55 fof(f5491,plain,(
% 51.57/7.55 ![V_x_2,V_f_2,V_b_2]: (~V_b_2=hAPP(V_f_2,V_x_2)|(![V_A_2,T_c]: (~hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))|(![T_b]: hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))))))),
% 51.57/7.55 inference(miniscoping,[status(thm)],[f5490])).
% 51.57/7.55 fof(f5492,plain,(
% 51.57/7.55 ![X0,X1,X2,X3,X4,X5]: (~X0=hAPP(X1,X2)|~hBOOL(hAPP(hAPP(c_member(X3),X2),X4))|hBOOL(hAPP(hAPP(c_member(X5),X0),hAPP(c_Set_Oimage(X3,X5,X1),X4))))),
% 51.57/7.55 inference(cnf_transformation,[status(thm)],[f5491])).
% 51.57/7.55 fof(f5595,plain,(
% 51.57/7.55 ![X0,X1]: (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),X1)=X1)),
% 51.57/7.55 inference(cnf_transformation,[status(thm)],[f118])).
% 51.57/7.55 fof(f5604,plain,(
% 51.57/7.55 ![X0,X1,X2,X3]: (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)),X3)=hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),X2),X3)))),
% 51.57/7.55 inference(cnf_transformation,[status(thm)],[f121])).
% 51.57/7.57 fof(f5608,plain,(
% 51.57/7.57 ![V_B_2,V_A_2,T_b]: ((~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2)&(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))|~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2))),
% 51.57/7.57 inference(NNF_transformation,[status(thm)],[f125])).
% 51.57/7.57 fof(f5609,plain,(
% 51.57/7.57 (![V_B_2,V_A_2,T_b]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2))&(![V_B_2,V_A_2,T_b]: (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))|~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2))),
% 51.57/7.57 inference(miniscoping,[status(thm)],[f5608])).
% 51.57/7.57 fof(f5611,plain,(
% 51.57/7.57 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2))|~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),X1),X2)=X2)),
% 51.57/7.57 inference(cnf_transformation,[status(thm)],[f5609])).
% 51.57/7.57 fof(f5637,plain,(
% 51.57/7.57 ![V_A_2,V_a_2,T_b]: (~hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))|hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)=V_A_2)),
% 51.57/7.57 inference(pre_NNF_transformation,[status(thm)],[f135])).
% 51.57/7.57 fof(f5638,plain,(
% 51.57/7.57 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(c_member(X0),X1),X2))|hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)=X2)),
% 51.57/7.57 inference(cnf_transformation,[status(thm)],[f5637])).
% 51.57/7.57 fof(f20151,plain,(
% 51.57/7.57 (?[B_x]: (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))&~v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))))),
% 51.57/7.57 inference(pre_NNF_transformation,[status(thm)],[f5227])).
% 51.57/7.57 fof(f20152,plain,(
% 51.57/7.57 (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK569_skl),v_U))&~v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sK569_skl)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))),
% 51.57/7.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK569_skl]),skolemize(B_x,sK569_skl)],[f20151])).
% 51.57/7.57 fof(f20153,plain,(
% 51.57/7.57 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK569_skl),v_U))),
% 51.57/7.57 inference(cnf_transformation,[status(thm)],[f20152])).
% 51.57/7.57 fof(f20154,plain,(
% 51.57/7.57 ~v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sK569_skl)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))),
% 51.57/7.57 inference(cnf_transformation,[status(thm)],[f20152])).
% 51.57/7.57 fof(f20472,plain,(
% 51.57/7.57 ![X0,X1,X2,X3,X4]: (~hBOOL(hAPP(hAPP(c_member(X0),X1),X2))|hBOOL(hAPP(hAPP(c_member(X3),hAPP(X4,X1)),hAPP(c_Set_Oimage(X0,X3,X4),X2))))),
% 51.57/7.57 inference(destructive_equality_resolution,[status(thm)],[f5492])).
% 51.57/7.57 fof(f21118,plain,(
% 51.57/7.57 ![X0,X1]: (hBOOL(hAPP(hAPP(c_member(X0),hAPP(X1,sK569_skl)),hAPP(c_Set_Oimage(tc_Com_Opname,X0,X1),v_U))))),
% 51.57/7.57 inference(resolution,[status(thm)],[f20472,f20153])).
% 51.57/7.57 fof(f21144,plain,(
% 51.57/7.57 ![X0,X1]: (hAPP(hAPP(c_Set_Oinsert(X0),hAPP(X1,sK569_skl)),hAPP(c_Set_Oimage(tc_Com_Opname,X0,X1),v_U))=hAPP(c_Set_Oimage(tc_Com_Opname,X0,X1),v_U))),
% 51.57/7.57 inference(resolution,[status(thm)],[f5638,f21118])).
% 51.57/7.57 fof(f23507,plain,(
% 51.57/7.57 ![X0,X1]: (~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(t_a,tc_HOL_Obool)),X0),X1)=X1|v_P(X1,X0))),
% 51.57/7.57 inference(resolution,[status(thm)],[f5611,f5245])).
% 51.57/7.57 fof(f41031,plain,(
% 51.57/7.57 ~hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sK569_skl)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))=hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)),
% 51.57/7.57 inference(resolution,[status(thm)],[f23507,f20154])).
% 51.57/7.57 fof(f41041,plain,(
% 51.57/7.57 ~hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sK569_skl)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(t_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))=hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)),
% 50.94/7.65 inference(forward_demodulation,[status(thm)],[f5604,f41031])).
% 50.94/7.65 fof(f41042,plain,(
% 50.94/7.65 ~hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sK569_skl)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))=hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)),
% 50.94/7.65 inference(forward_demodulation,[status(thm)],[f5595,f41041])).
% 50.94/7.65 fof(f41043,plain,(
% 50.94/7.65 ~hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)=hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)),
% 50.94/7.65 inference(forward_demodulation,[status(thm)],[f21144,f41042])).
% 50.94/7.65 fof(f41044,plain,(
% 50.94/7.65 $false),
% 50.94/7.65 inference(trivial_equality_resolution,[status(thm)],[f41043])).
% 50.94/7.65 % SZS output end CNFRefutation for theBenchmark.p
% 8.44/7.72 % Elapsed time: 7.330789 seconds
% 8.44/7.72 % CPU time: 52.685874 seconds
% 8.44/7.72 % Total memory used: 1.109 GB
% 8.44/7.72 % Net memory used: 1.078 GB
%------------------------------------------------------------------------------