TSTP Solution File: SWV734-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV734-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:49:14 EDT 2024
% Result : Unsatisfiable 18.86s 2.86s
% Output : CNFRefutation 19.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV734-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:20:55 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.40 % Drodi V3.6.0
% 18.86/2.86 % Refutation found
% 18.86/2.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.86/2.86 % SZS output start CNFRefutation for theBenchmark
% 18.86/2.86 fof(f212,axiom,(
% 18.86/2.86 (![V_H]: (c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f240,axiom,(
% 18.86/2.86 (![V_H]: (c_Message_Oparts(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f243,axiom,(
% 18.86/2.86 (![V_H]: (c_Message_Oanalz(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f282,axiom,(
% 18.86/2.86 (![V_A,V_B,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f322,axiom,(
% 18.86/2.86 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y| ~ c_lessequals(V_x,V_y,T_a) ) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f380,axiom,(
% 18.86/2.86 (![V_c,V_H,V_X]: (( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| ~ c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f382,axiom,(
% 18.86/2.86 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f389,axiom,(
% 18.86/2.86 (![V_X,V_H]: (( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| ~ c_in(V_X,V_H,tc_Message_Omsg) ) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f404,axiom,(
% 18.86/2.86 (![V_H]: (c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f406,axiom,(
% 18.86/2.86 (![V_H]: (c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f410,axiom,(
% 18.86/2.86 (![V_K,V_H]: (( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f411,axiom,(
% 18.86/2.86 (![V_X,V_H,V_K]: (( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f428,axiom,(
% 18.86/2.86 (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f429,axiom,(
% 18.86/2.86 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ c_in(V_x,V_S,T_a) ) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f440,axiom,(
% 18.86/2.86 (![V_X,V_H]: (( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| ~ c_in(V_X,V_H,tc_Message_Omsg) ) ))),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f460,negated_conjecture,(
% 18.86/2.86 c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f461,negated_conjecture,(
% 18.86/2.86 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
% 18.86/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.86 fof(f462,negated_conjecture,(
% 18.86/2.86 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
% 18.86/2.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.87 fof(f464,axiom,(
% 18.86/2.87 (![T_2,T_1]: (( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| ~ class_Lattices_Olattice(T_1) ) ))),
% 18.86/2.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.87 fof(f482,axiom,(
% 18.86/2.87 class_Lattices_Olattice(tc_bool) ),
% 18.86/2.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.86/2.87 fof(f774,plain,(
% 18.86/2.87 ![X0]: (c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f212])).
% 18.86/2.87 fof(f813,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oparts(c_Message_Osynth(X0))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f240])).
% 18.86/2.87 fof(f816,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oanalz(c_Message_Osynth(X0))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f243])).
% 18.86/2.87 fof(f877,plain,(
% 18.86/2.87 ![X0,X1,X2]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f282])).
% 18.86/2.87 fof(f936,plain,(
% 18.86/2.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X2|~c_lessequals(X1,X2,X0))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f322])).
% 18.86/2.87 fof(f1027,plain,(
% 18.86/2.87 ![V_c,V_X]: ((![V_H]: (c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)|~c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))|~c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))),
% 18.86/2.87 inference(miniscoping,[status(esa)],[f380])).
% 18.86/2.87 fof(f1028,plain,(
% 18.86/2.87 ![X0,X1,X2]: (c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f1027])).
% 18.86/2.87 fof(f1031,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f382])).
% 18.86/2.87 fof(f1041,plain,(
% 18.86/2.87 ![X0,X1]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|~c_in(X0,X1,tc_Message_Omsg))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f389])).
% 18.86/2.87 fof(f1061,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oparts(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f404])).
% 18.86/2.87 fof(f1063,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oanalz(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f406])).
% 18.86/2.87 fof(f1067,plain,(
% 18.86/2.87 ![X0,X1]: (c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)|~c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Osynth(X1),tc_Message_Omsg))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f410])).
% 18.86/2.87 fof(f1068,plain,(
% 18.86/2.87 ![V_X,V_H]: (c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)|(![V_K]: ~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)))),
% 18.86/2.87 inference(miniscoping,[status(esa)],[f411])).
% 18.86/2.87 fof(f1069,plain,(
% 18.86/2.87 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f1068])).
% 18.86/2.87 fof(f1088,plain,(
% 18.86/2.87 ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 18.86/2.87 inference(miniscoping,[status(esa)],[f428])).
% 18.86/2.87 fof(f1089,plain,(
% 18.86/2.87 ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f1088])).
% 18.86/2.87 fof(f1090,plain,(
% 18.86/2.87 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~c_in(V_x,V_S,T_a)))),
% 18.86/2.87 inference(miniscoping,[status(esa)],[f429])).
% 18.86/2.87 fof(f1091,plain,(
% 18.86/2.87 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~c_in(X1,X0,X2))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f1090])).
% 18.86/2.87 fof(f1108,plain,(
% 18.86/2.87 ![X0,X1]: (c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|~c_in(X0,X1,tc_Message_Omsg))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f440])).
% 18.86/2.87 fof(f1132,plain,(
% 18.86/2.87 c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f460])).
% 18.86/2.87 fof(f1133,plain,(
% 18.86/2.87 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f461])).
% 18.86/2.87 fof(f1134,plain,(
% 18.86/2.87 ~c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f462])).
% 18.86/2.87 fof(f1136,plain,(
% 18.86/2.87 ![T_1]: ((![T_2]: class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)))|~class_Lattices_Olattice(T_1))),
% 18.86/2.87 inference(miniscoping,[status(esa)],[f464])).
% 18.86/2.87 fof(f1137,plain,(
% 18.86/2.87 ![X0,X1]: (class_Lattices_Oupper__semilattice(tc_fun(X0,X1))|~class_Lattices_Olattice(X1))),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f1136])).
% 18.86/2.87 fof(f1162,plain,(
% 18.86/2.87 class_Lattices_Olattice(tc_bool)),
% 18.86/2.87 inference(cnf_transformation,[status(esa)],[f482])).
% 18.86/2.87 fof(f1320,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 18.86/2.87 inference(paramodulation,[status(thm)],[f1061,f813])).
% 18.86/2.87 fof(f1321,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 18.86/2.87 inference(paramodulation,[status(thm)],[f1031,f813])).
% 18.86/2.87 fof(f1328,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 18.86/2.87 inference(paramodulation,[status(thm)],[f1063,f816])).
% 18.86/2.87 fof(f1338,plain,(
% 18.86/2.87 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))),
% 18.86/2.87 inference(resolution,[status(thm)],[f1069,f1041])).
% 18.86/2.87 fof(f1347,plain,(
% 18.86/2.87 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))),
% 18.86/2.87 inference(resolution,[status(thm)],[f1338,f1108])).
% 18.86/2.87 fof(f1395,plain,(
% 18.86/2.87 c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)))),tc_Message_Omsg)),
% 18.86/2.87 inference(resolution,[status(thm)],[f1347,f1132])).
% 18.86/2.87 fof(f1850,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0)))=c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))))),
% 18.86/2.87 inference(forward_demodulation,[status(thm)],[f1320,f1328])).
% 18.86/2.87 fof(f1853,plain,(
% 18.86/2.87 c_in(v_X,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)))),tc_Message_Omsg)),
% 18.86/2.87 inference(backward_demodulation,[status(thm)],[f1850,f1395])).
% 18.86/2.87 fof(f1854,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 18.86/2.87 inference(backward_demodulation,[status(thm)],[f1850,f1320])).
% 18.86/2.87 fof(f2228,plain,(
% 18.86/2.87 spl0_14 <=> class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool))),
% 18.86/2.87 introduced(split_symbol_definition)).
% 18.86/2.87 fof(f2230,plain,(
% 18.86/2.87 ~class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool))|spl0_14),
% 18.86/2.87 inference(component_clause,[status(thm)],[f2228])).
% 18.86/2.87 fof(f2254,plain,(
% 18.86/2.87 ~class_Lattices_Olattice(tc_bool)|spl0_14),
% 18.86/2.87 inference(resolution,[status(thm)],[f2230,f1137])).
% 18.86/2.87 fof(f2255,plain,(
% 18.86/2.87 $false|spl0_14),
% 18.86/2.87 inference(forward_subsumption_resolution,[status(thm)],[f2254,f1162])).
% 18.86/2.87 fof(f2256,plain,(
% 18.86/2.87 spl0_14),
% 18.86/2.87 inference(contradiction_clause,[status(thm)],[f2255])).
% 18.86/2.87 fof(f4466,plain,(
% 18.86/2.87 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,X1,X3))),
% 18.86/2.87 inference(resolution,[status(thm)],[f1091,f1089])).
% 18.86/2.87 fof(f5136,plain,(
% 18.86/2.87 ![X0]: (~c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),X0))),
% 18.86/2.87 inference(resolution,[status(thm)],[f4466,f1134])).
% 18.86/2.87 fof(f8399,plain,(
% 18.86/2.87 spl0_115 <=> c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0)))=c_Message_Osynth(c_Message_Oparts(X0))|~c_lessequals(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool))),
% 18.86/2.87 introduced(split_symbol_definition)).
% 18.86/2.87 fof(f8400,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0)))=c_Message_Osynth(c_Message_Oparts(X0))|~c_lessequals(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool))|~spl0_115)),
% 18.86/2.87 inference(component_clause,[status(thm)],[f8399])).
% 18.86/2.87 fof(f8402,plain,(
% 18.86/2.87 ![X0]: (~class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool))|c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0)))=c_Message_Osynth(c_Message_Oparts(X0))|~c_lessequals(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 18.86/2.87 inference(paramodulation,[status(thm)],[f1854,f936])).
% 18.86/2.87 fof(f8403,plain,(
% 18.86/2.87 ~spl0_14|spl0_115),
% 18.86/2.87 inference(split_clause,[status(thm)],[f8402,f2228,f8399])).
% 18.86/2.87 fof(f8421,plain,(
% 18.86/2.87 ![X0]: (c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0)))=c_Message_Osynth(c_Message_Oparts(X0))|~spl0_115)),
% 18.86/2.87 inference(forward_subsumption_resolution,[status(thm)],[f8400,f774])).
% 18.86/2.87 fof(f8543,plain,(
% 18.86/2.87 c_in(v_X,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg)|~spl0_115),
% 18.86/2.87 inference(backward_demodulation,[status(thm)],[f8421,f1853])).
% 18.86/2.87 fof(f8555,plain,(
% 18.86/2.87 ![X0]: (c_Message_Osynth(c_Message_Oparts(X0))=c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0)))|~spl0_115)),
% 18.86/2.87 inference(backward_demodulation,[status(thm)],[f8421,f1850])).
% 18.86/2.87 fof(f23842,plain,(
% 18.86/2.87 ![X0,X1,X2]: (c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))),
% 18.86/2.87 inference(forward_demodulation,[status(thm)],[f877,f1028])).
% 18.86/2.87 fof(f23843,plain,(
% 18.86/2.87 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))),
% 18.86/2.87 inference(forward_demodulation,[status(thm)],[f1321,f23842])).
% 18.86/2.87 fof(f24322,plain,(
% 18.86/2.87 ![X0]: (c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_Message_Omsg)|~c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))),
% 18.86/2.87 inference(resolution,[status(thm)],[f23843,f1133])).
% 18.86/2.87 fof(f26598,plain,(
% 18.86/2.87 ![X0]: (c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_Message_Omsg)|~c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(X0))),tc_Message_Omsg))),
% 18.86/2.87 inference(paramodulation,[status(thm)],[f1063,f24322])).
% 18.86/2.87 fof(f26599,plain,(
% 18.86/2.87 ![X0]: (c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oparts(X0)),tc_Message_Omsg)|~c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(X0))),tc_Message_Omsg)|~spl0_115)),
% 18.86/2.87 inference(forward_demodulation,[status(thm)],[f8555,f26598])).
% 18.86/2.87 fof(f26600,plain,(
% 18.86/2.87 ![X0]: (c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oparts(X0)),tc_Message_Omsg)|~c_in(v_X,c_Message_Osynth(c_Message_Oparts(X0)),tc_Message_Omsg)|~spl0_115)),
% 18.86/2.87 inference(forward_demodulation,[status(thm)],[f1063,f26599])).
% 19.64/2.93 fof(f27120,plain,(
% 19.64/2.93 ![X0]: (~c_in(v_X,c_Message_Osynth(c_Message_Oparts(X0)),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg)|~spl0_115)),
% 19.64/2.93 inference(resolution,[status(thm)],[f26600,f1067])).
% 19.64/2.93 fof(f28983,plain,(
% 19.64/2.93 ~c_in(v_X,c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg)|~spl0_115),
% 19.64/2.93 inference(resolution,[status(thm)],[f27120,f5136])).
% 19.64/2.93 fof(f28984,plain,(
% 19.64/2.93 $false|~spl0_115),
% 19.64/2.93 inference(forward_subsumption_resolution,[status(thm)],[f28983,f8543])).
% 19.64/2.93 fof(f28985,plain,(
% 19.64/2.93 ~spl0_115),
% 19.64/2.93 inference(contradiction_clause,[status(thm)],[f28984])).
% 19.64/2.93 fof(f28986,plain,(
% 19.64/2.93 $false),
% 19.64/2.93 inference(sat_refutation,[status(thm)],[f2256,f8403,f28985])).
% 19.64/2.93 % SZS output end CNFRefutation for theBenchmark.p
% 20.14/2.97 % Elapsed time: 2.603948 seconds
% 20.14/2.97 % CPU time: 19.969671 seconds
% 20.14/2.97 % Total memory used: 400.468 MB
% 20.14/2.97 % Net memory used: 395.295 MB
%------------------------------------------------------------------------------