%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV742-1 : 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 : n006.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 02:53:05 PM UTC 2026
% Result : Unsatisfiable 60.97s 8.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV742-1 : 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 : n006.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 09:22:58 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 60.97/8.15 % Refutation found
% 60.97/8.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 60.97/8.15 % SZS output start CNFRefutation for theBenchmark
% 60.97/8.15 fof(f31,axiom,(
% 60.97/8.15 (![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)) ) ))),
% 60.97/8.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.97/8.15 fof(f43,axiom,(
% 60.97/8.15 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 60.97/8.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.97/8.15 fof(f63,axiom,(
% 60.97/8.15 (![T_a]: (c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 60.97/8.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.97/8.15 fof(f409,axiom,(
% 60.97/8.15 (![V_xs,V_x,T_a]: (V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ))),
% 60.97/8.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.97/8.15 fof(f413,axiom,(
% 60.97/8.15 (![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) ))),
% 60.97/8.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.97/8.15 fof(f416,axiom,(
% 60.97/8.15 (![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)) ) ))),
% 60.97/8.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.97/8.15 fof(f438,axiom,(
% 60.97/8.15 (![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)) ) ))),
% 60.97/8.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.97/8.15 fof(f455,axiom,(
% 60.97/8.15 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 60.97/8.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.97/8.15 fof(f648,plain,(
% 60.97/8.15 ![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)))),
% 60.97/8.15 inference(miniscoping,[status(thm)],[f31])).
% 60.97/8.15 fof(f649,plain,(
% 60.97/8.15 ![X0,X1]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))|~hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)))),
% 60.97/8.15 inference(cnf_transformation,[status(thm)],[f648])).
% 60.97/8.15 fof(f664,plain,(
% 60.97/8.15 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 60.97/8.15 inference(cnf_transformation,[status(thm)],[f43])).
% 60.97/8.15 fof(f690,plain,(
% 60.97/8.15 ![X0]: (c_List_Oset(c_List_Olist_ONil(X0),X0)=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
% 60.97/8.15 inference(cnf_transformation,[status(thm)],[f63])).
% 60.97/8.15 fof(f1168,plain,(
% 60.97/8.15 ![X0,X1,X2]: (~X0=c_List_Olist_OCons(X1,X0,X2))),
% 60.97/8.15 inference(cnf_transformation,[status(thm)],[f409])).
% 60.97/8.15 fof(f1172,plain,(
% 60.97/8.15 ![X0,X1,X2]: (~c_List_Olist_OCons(X0,X1,X2)=c_List_Olist_ONil(X2))),
% 60.97/8.15 inference(cnf_transformation,[status(thm)],[f413])).
% 60.97/8.15 fof(f1176,plain,(
% 60.97/8.15 ![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)))),
% 60.97/8.15 inference(miniscoping,[status(thm)],[f416])).
% 60.97/8.15 fof(f1177,plain,(
% 60.97/8.15 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))|~hBOOL(hAPP(X1,X3)))),
% 60.97/8.15 inference(cnf_transformation,[status(thm)],[f1176])).
% 60.97/8.15 fof(f1204,plain,(
% 60.97/8.15 ![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))))),
% 60.97/8.15 inference(miniscoping,[status(thm)],[f438])).
% 60.97/8.15 fof(f1205,plain,(
% 60.97/8.15 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|X2=X1|~hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)))),
% 60.97/8.15 inference(cnf_transformation,[status(thm)],[f1204])).
% 60.97/8.15 fof(f1224,plain,(
% 60.97/8.15 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 60.97/8.15 inference(cnf_transformation,[status(thm)],[f455])).
% 60.97/8.15 fof(f2497,plain,(
% 60.97/8.15 ![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)))),
% 60.97/8.15 inference(resolution,[status(thm)],[f649,f1224])).
% 60.97/8.15 fof(f3349,plain,(
% 60.97/8.15 ![X0,X1]: (~hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(X0),X0),X1)))),
% 60.97/8.15 inference(paramodulation,[status(thm)],[f690,f664])).
% 60.97/8.15 fof(f7896,plain,(
% 60.97/8.15 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)))),
% 60.97/8.15 inference(resolution,[status(thm)],[f1177,f1224])).
% 60.97/8.15 fof(f85971,plain,(
% 60.97/8.15 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)))),
% 60.97/8.15 inference(resolution,[status(thm)],[f2497,f7896])).
% 46.37/8.28 fof(f86684,plain,(
% 46.37/8.28 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))|c_Public_Okeymode_OEncryption=X2)),
% 46.37/8.28 inference(resolution,[status(thm)],[f85971,f1205])).
% 46.37/8.28 fof(f86717,plain,(
% 46.37/8.28 ![X0,X1]: (c_Public_Okeymode_OEncryption=X0|hBOOL(hAPP(X1,X0))|c_Public_Okeymode_OSignature=X0)),
% 46.37/8.28 inference(resolution,[status(thm)],[f86684,f1205])).
% 46.37/8.28 fof(f86759,plain,(
% 46.37/8.28 ![X0]: (c_Public_Okeymode_OEncryption=X0|c_Public_Okeymode_OSignature=X0)),
% 46.37/8.28 inference(resolution,[status(thm)],[f86717,f3349])).
% 46.37/8.28 fof(f86795,plain,(
% 46.37/8.28 ![X0,X1]: (c_Public_Okeymode_OEncryption=c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1))),
% 46.37/8.28 inference(resolution,[status(thm)],[f86759,f1168])).
% 46.37/8.28 fof(f86813,plain,(
% 46.37/8.28 ![X0,X1]: (c_Public_Okeymode_OEncryption=X0|X1=X0|c_Public_Okeymode_OEncryption=X1)),
% 46.37/8.28 inference(paramodulation,[status(thm)],[f86759,f86759])).
% 46.37/8.28 fof(f88414,plain,(
% 46.37/8.28 ![X0]: (~c_Public_Okeymode_OEncryption=c_List_Olist_ONil(X0))),
% 46.37/8.28 inference(paramodulation,[status(thm)],[f86795,f1172])).
% 46.37/8.28 fof(f88627,plain,(
% 46.37/8.28 ![X0,X1,X2]: (c_Public_Okeymode_OEncryption=c_List_Olist_ONil(X0)|c_Public_Okeymode_OEncryption=c_List_Olist_OCons(X1,X2,X0))),
% 46.37/8.28 inference(resolution,[status(thm)],[f86813,f1172])).
% 46.37/8.28 fof(f88911,plain,(
% 46.37/8.28 ![X0,X1,X2]: (c_Public_Okeymode_OEncryption=c_List_Olist_OCons(X0,X1,X2))),
% 46.37/8.28 inference(forward_subsumption_resolution,[status(thm)],[f88627,f88414])).
% 46.37/8.28 fof(f89227,plain,(
% 46.37/8.28 ![X0]: (~X0=c_Public_Okeymode_OEncryption)),
% 46.37/8.28 inference(backward_demodulation,[status(thm)],[f88911,f1168])).
% 46.37/8.28 fof(f89263,plain,(
% 46.37/8.28 $false),
% 46.37/8.28 inference(destructive_equality_resolution,[status(thm)],[f89227])).
% 46.37/8.28 % SZS output end CNFRefutation for theBenchmark.p
% 46.37/8.29 % Elapsed time: 7.921793 seconds
% 46.37/8.29 % CPU time: 62.289556 seconds
% 46.37/8.29 % Total memory used: 988.437 MB
% 46.37/8.29 % Net memory used: 957.187 MB
%------------------------------------------------------------------------------