%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV757-1 : 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 : 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 02:53:07 PM UTC 2026
% Result : Unsatisfiable 39.44s 5.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV757-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % 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 09:23:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.40 % Drodi V4.1.1
% 39.44/5.45 % Refutation found
% 39.44/5.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 39.44/5.45 % SZS output start CNFRefutation for theBenchmark
% 39.44/5.45 fof(f31,axiom,(
% 39.44/5.45 (![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)) ) ))),
% 39.44/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.44/5.45 fof(f64,axiom,(
% 39.44/5.45 (![T_a]: (c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 39.44/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.44/5.45 fof(f97,axiom,(
% 39.44/5.45 (![V_x,V_xa,T_a]: (c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ))),
% 39.44/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.44/5.45 fof(f167,axiom,(
% 39.44/5.45 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 39.44/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.44/5.45 fof(f330,axiom,(
% 39.44/5.45 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 39.44/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.44/5.45 fof(f333,axiom,(
% 39.44/5.45 (![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)) ) ))),
% 39.44/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.44/5.45 fof(f338,axiom,(
% 39.44/5.45 (![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)) ) ))),
% 39.44/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.44/5.45 fof(f402,axiom,(
% 39.44/5.45 (![V_xs,V_x,T_a]: (V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ))),
% 39.44/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.44/5.45 fof(f629,plain,(
% 39.44/5.45 ![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)))),
% 39.44/5.45 inference(miniscoping,[status(thm)],[f31])).
% 39.44/5.45 fof(f630,plain,(
% 39.44/5.45 ![X0,X1]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))|~hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)))),
% 39.44/5.45 inference(cnf_transformation,[status(thm)],[f629])).
% 39.44/5.45 fof(f670,plain,(
% 39.44/5.45 ![X0]: (c_List_Oset(c_List_Olist_ONil(X0),X0)=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
% 39.44/5.45 inference(cnf_transformation,[status(thm)],[f64])).
% 39.44/5.45 fof(f721,plain,(
% 39.44/5.45 ![X0,X1,X2]: (~c_List_Olist_OCons(X0,X1,X2)=c_List_Olist_ONil(X2))),
% 39.44/5.45 inference(cnf_transformation,[status(thm)],[f97])).
% 39.44/5.45 fof(f822,plain,(
% 39.44/5.45 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 39.44/5.45 inference(cnf_transformation,[status(thm)],[f167])).
% 39.44/5.45 fof(f1038,plain,(
% 39.44/5.45 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 39.44/5.45 inference(cnf_transformation,[status(thm)],[f330])).
% 39.44/5.45 fof(f1041,plain,(
% 39.44/5.45 ![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))))),
% 39.44/5.45 inference(miniscoping,[status(thm)],[f333])).
% 39.44/5.45 fof(f1042,plain,(
% 39.44/5.45 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|X2=X1|~hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)))),
% 39.44/5.45 inference(cnf_transformation,[status(thm)],[f1041])).
% 39.44/5.45 fof(f1049,plain,(
% 39.44/5.45 ![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)))),
% 39.44/5.45 inference(miniscoping,[status(thm)],[f338])).
% 39.44/5.45 fof(f1050,plain,(
% 39.44/5.45 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))|~hBOOL(hAPP(X1,X3)))),
% 39.44/5.45 inference(cnf_transformation,[status(thm)],[f1049])).
% 39.44/5.45 fof(f1140,plain,(
% 39.44/5.45 ![X0,X1,X2]: (~X0=c_List_Olist_OCons(X1,X0,X2))),
% 39.44/5.45 inference(cnf_transformation,[status(thm)],[f402])).
% 39.44/5.45 fof(f1930,plain,(
% 39.44/5.45 ![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)))),
% 39.44/5.45 inference(resolution,[status(thm)],[f630,f1038])).
% 39.44/5.45 fof(f2580,plain,(
% 39.44/5.45 ![X0,X1]: (~hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(X0),X0),X1)))),
% 39.44/5.45 inference(paramodulation,[status(thm)],[f670,f822])).
% 39.44/5.45 fof(f7608,plain,(
% 39.44/5.45 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)))),
% 39.44/5.45 inference(resolution,[status(thm)],[f1050,f1038])).
% 39.44/5.45 fof(f59760,plain,(
% 39.44/5.45 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)))),
% 39.44/5.45 inference(resolution,[status(thm)],[f1930,f7608])).
% 26.51/5.54 fof(f60774,plain,(
% 26.51/5.54 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))|c_Public_Okeymode_OEncryption=X2)),
% 26.51/5.54 inference(resolution,[status(thm)],[f59760,f1042])).
% 26.51/5.54 fof(f60803,plain,(
% 26.51/5.54 ![X0,X1]: (c_Public_Okeymode_OEncryption=X0|hBOOL(hAPP(X1,X0))|c_Public_Okeymode_OSignature=X0)),
% 26.51/5.54 inference(resolution,[status(thm)],[f60774,f1042])).
% 26.51/5.54 fof(f60836,plain,(
% 26.51/5.54 ![X0]: (c_Public_Okeymode_OEncryption=X0|c_Public_Okeymode_OSignature=X0)),
% 26.51/5.54 inference(resolution,[status(thm)],[f60803,f2580])).
% 26.51/5.54 fof(f60866,plain,(
% 26.51/5.54 ![X0,X1]: (c_Public_Okeymode_OEncryption=c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1))),
% 26.51/5.54 inference(resolution,[status(thm)],[f60836,f1140])).
% 26.51/5.54 fof(f60880,plain,(
% 26.51/5.54 ![X0,X1]: (c_Public_Okeymode_OEncryption=X0|X1=X0|c_Public_Okeymode_OEncryption=X1)),
% 26.51/5.54 inference(paramodulation,[status(thm)],[f60836,f60836])).
% 26.51/5.54 fof(f61317,plain,(
% 26.51/5.54 ![X0]: (~c_Public_Okeymode_OEncryption=c_List_Olist_ONil(X0))),
% 26.51/5.54 inference(paramodulation,[status(thm)],[f60866,f721])).
% 26.51/5.54 fof(f61515,plain,(
% 26.51/5.54 ![X0,X1,X2]: (c_Public_Okeymode_OEncryption=c_List_Olist_ONil(X0)|c_Public_Okeymode_OEncryption=c_List_Olist_OCons(X1,X2,X0))),
% 26.51/5.54 inference(resolution,[status(thm)],[f60880,f721])).
% 26.51/5.54 fof(f61767,plain,(
% 26.51/5.54 ![X0,X1,X2]: (c_Public_Okeymode_OEncryption=c_List_Olist_OCons(X0,X1,X2))),
% 26.51/5.54 inference(forward_subsumption_resolution,[status(thm)],[f61515,f61317])).
% 26.51/5.54 fof(f61997,plain,(
% 26.51/5.54 ![X0]: (~X0=c_Public_Okeymode_OEncryption)),
% 26.51/5.54 inference(backward_demodulation,[status(thm)],[f61767,f1140])).
% 26.51/5.54 fof(f62006,plain,(
% 26.51/5.54 $false),
% 26.51/5.54 inference(destructive_equality_resolution,[status(thm)],[f61997])).
% 26.51/5.54 % SZS output end CNFRefutation for theBenchmark.p
% 26.51/5.57 % Elapsed time: 5.193664 seconds
% 26.51/5.57 % CPU time: 40.568732 seconds
% 26.51/5.57 % Total memory used: 767.565 MB
% 26.51/5.57 % Net memory used: 745.091 MB
%------------------------------------------------------------------------------