%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV751-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:53:06 PM UTC 2026
% Result : Unsatisfiable 132.12s 17.18s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV751-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:25:28 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.41 % Drodi V4.1.1
% 132.12/17.18 % Refutation found
% 132.12/17.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 132.12/17.18 % SZS output start CNFRefutation for theBenchmark
% 132.12/17.18 fof(f12,axiom,(
% 132.12/17.18 (![T_a]: (c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ))),
% 132.12/17.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 132.12/17.18 fof(f34,axiom,(
% 132.12/17.18 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 132.12/17.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 132.12/17.18 fof(f70,axiom,(
% 132.12/17.18 (![V_P,V_keymode]: (( hBOOL(hAPP(V_P,V_keymode))| ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))| ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)) ) ))),
% 132.12/17.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 132.12/17.18 fof(f410,axiom,(
% 132.12/17.18 (![V_xs,V_x,T_a]: (V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ))),
% 132.12/17.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 132.12/17.18 fof(f413,axiom,(
% 132.12/17.18 (![V_a_H,V_list_H,T_a]: (c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ))),
% 132.12/17.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 132.12/17.18 fof(f416,axiom,(
% 132.12/17.18 (![V_y,V_A,T_a,V_x]: (( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| ~ hBOOL(hAPP(V_A,V_x)) ) ))),
% 132.12/17.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 132.12/17.18 fof(f441,axiom,(
% 132.12/17.18 (![V_A,V_x,V_y,T_a]: (( hBOOL(hAPP(V_A,V_x))| V_y = V_x| ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ))),
% 132.12/17.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 132.12/17.18 fof(f456,axiom,(
% 132.12/17.18 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 132.12/17.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 132.12/17.18 fof(f618,plain,(
% 132.12/17.18 ![X0]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_List_Oset(c_List_Olist_ONil(X0),X0))),
% 132.12/17.18 inference(cnf_transformation,[status(thm)],[f12])).
% 132.12/17.18 fof(f646,plain,(
% 132.12/17.18 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 132.12/17.18 inference(cnf_transformation,[status(thm)],[f34])).
% 132.12/17.18 fof(f694,plain,(
% 132.12/17.18 ![V_P]: (((![V_keymode]: hBOOL(hAPP(V_P,V_keymode)))|~hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption)))|~hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)))),
% 132.12/17.18 inference(miniscoping,[status(thm)],[f70])).
% 132.12/17.18 fof(f695,plain,(
% 132.12/17.18 ![X0,X1]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))|~hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)))),
% 132.12/17.18 inference(cnf_transformation,[status(thm)],[f694])).
% 132.12/17.18 fof(f1171,plain,(
% 132.12/17.18 ![X0,X1,X2]: (~X0=c_List_Olist_OCons(X1,X0,X2))),
% 132.12/17.18 inference(cnf_transformation,[status(thm)],[f410])).
% 132.12/17.18 fof(f1174,plain,(
% 132.12/17.18 ![X0,X1,X2]: (~c_List_Olist_OCons(X0,X1,X2)=c_List_Olist_ONil(X2))),
% 132.12/17.18 inference(cnf_transformation,[status(thm)],[f413])).
% 132.12/17.18 fof(f1178,plain,(
% 132.12/17.18 ![V_A,V_x]: ((![V_y,T_a]: hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)))|~hBOOL(hAPP(V_A,V_x)))),
% 132.12/17.18 inference(miniscoping,[status(thm)],[f416])).
% 132.12/17.18 fof(f1179,plain,(
% 132.12/17.18 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))|~hBOOL(hAPP(X1,X3)))),
% 132.12/17.18 inference(cnf_transformation,[status(thm)],[f1178])).
% 132.12/17.18 fof(f1209,plain,(
% 132.12/17.18 ![V_A,V_x,V_y]: ((hBOOL(hAPP(V_A,V_x))|V_y=V_x)|(![T_a]: ~hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))))),
% 132.12/17.18 inference(miniscoping,[status(thm)],[f441])).
% 132.12/17.19 fof(f1210,plain,(
% 132.12/17.19 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|X2=X1|~hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)))),
% 132.12/17.19 inference(cnf_transformation,[status(thm)],[f1209])).
% 132.12/17.19 fof(f1227,plain,(
% 132.12/17.19 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 132.12/17.19 inference(cnf_transformation,[status(thm)],[f456])).
% 132.12/17.19 fof(f2455,plain,(
% 132.12/17.19 ![X0,X1]: (~hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(X0),X0),X1)))),
% 132.12/17.19 inference(paramodulation,[status(thm)],[f618,f646])).
% 132.12/17.19 fof(f5042,plain,(
% 132.12/17.19 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2))|~hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_Public_Okeymode_OSignature)))),
% 132.12/17.19 inference(resolution,[status(thm)],[f695,f1227])).
% 132.12/17.19 fof(f8230,plain,(
% 132.12/17.19 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)))),
% 132.12/17.19 inference(resolution,[status(thm)],[f1179,f1227])).
% 132.12/17.19 fof(f133480,plain,(
% 132.12/17.19 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)))),
% 132.12/17.19 inference(resolution,[status(thm)],[f5042,f8230])).
% 100.46/17.47 fof(f136046,plain,(
% 100.46/17.47 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))|c_Public_Okeymode_OEncryption=X2)),
% 100.46/17.47 inference(resolution,[status(thm)],[f133480,f1210])).
% 100.46/17.47 fof(f136086,plain,(
% 100.46/17.47 ![X0,X1]: (c_Public_Okeymode_OEncryption=X0|hBOOL(hAPP(X1,X0))|c_Public_Okeymode_OSignature=X0)),
% 100.46/17.47 inference(resolution,[status(thm)],[f136046,f1210])).
% 100.46/17.47 fof(f136138,plain,(
% 100.46/17.47 ![X0]: (c_Public_Okeymode_OEncryption=X0|c_Public_Okeymode_OSignature=X0)),
% 100.46/17.47 inference(resolution,[status(thm)],[f136086,f2455])).
% 100.46/17.47 fof(f136178,plain,(
% 100.46/17.47 ![X0,X1]: (c_Public_Okeymode_OSignature=c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1))),
% 100.46/17.47 inference(resolution,[status(thm)],[f136138,f1171])).
% 100.46/17.47 fof(f136196,plain,(
% 100.46/17.47 ![X0,X1]: (X0=X1|c_Public_Okeymode_OSignature=X1|c_Public_Okeymode_OSignature=X0)),
% 100.46/17.47 inference(paramodulation,[status(thm)],[f136138,f136138])).
% 100.46/17.47 fof(f136319,plain,(
% 100.46/17.47 ![X0]: (~c_Public_Okeymode_OSignature=c_List_Olist_ONil(X0))),
% 100.46/17.47 inference(paramodulation,[status(thm)],[f136178,f1174])).
% 100.46/17.47 fof(f136462,plain,(
% 100.46/17.47 ![X0,X1,X2]: (c_Public_Okeymode_OSignature=c_List_Olist_ONil(X0)|c_Public_Okeymode_OSignature=c_List_Olist_OCons(X1,X2,X0))),
% 100.46/17.47 inference(resolution,[status(thm)],[f136196,f1174])).
% 100.46/17.47 fof(f136899,plain,(
% 100.46/17.47 ![X0,X1,X2]: (c_Public_Okeymode_OSignature=c_List_Olist_OCons(X0,X1,X2))),
% 100.46/17.47 inference(forward_subsumption_resolution,[status(thm)],[f136462,f136319])).
% 100.46/17.47 fof(f137104,plain,(
% 100.46/17.47 ![X0]: (~X0=c_Public_Okeymode_OSignature)),
% 100.46/17.47 inference(backward_demodulation,[status(thm)],[f136899,f1171])).
% 100.46/17.47 fof(f137186,plain,(
% 100.46/17.47 $false),
% 100.46/17.47 inference(destructive_equality_resolution,[status(thm)],[f137104])).
% 100.46/17.47 % SZS output end CNFRefutation for theBenchmark.p
% 88.75/17.61 % Elapsed time: 17.223709 seconds
% 88.75/17.61 % CPU time: 135.009676 seconds
% 88.75/17.61 % Total memory used: 1.595 GB
% 88.75/17.61 % Net memory used: 1.537 GB
%------------------------------------------------------------------------------