TSTP Solution File: SWV276-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV276-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 : Wed May 31 12:41:09 EDT 2023
% Result : Unsatisfiable 1.81s 0.63s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:44:33 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 1.81/0.63 % Refutation found
% 1.81/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.81/0.63 % SZS output start CNFRefutation for theBenchmark
% 1.81/0.63 fof(f1,axiom,(
% 1.81/0.63 (![V_K,V_H]: (( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Osynth(V_H)),tc_nat)| c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)| c_in(c_Message_Omsg_OKey(v_sko__uhi(V_H,V_K)),V_H,tc_Message_Omsg) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f2,axiom,(
% 1.81/0.63 (![V_K,V_H]: (( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Osynth(V_H)),tc_nat)| c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)| V_K = c_Message_OinvKey(v_sko__uhi(V_H,V_K)) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f3,axiom,(
% 1.81/0.63 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f4,axiom,(
% 1.81/0.63 (![V_H]: (c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f5,axiom,(
% 1.81/0.63 (![V_y]: (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f6,axiom,(
% 1.81/0.63 (![V_G,V_H]: (( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))| c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_set(tc_nat)) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f7,axiom,(
% 1.81/0.63 (![V_H,V_H_H]: (c_Message_OkeysFor(c_union(V_H,V_H_H,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(V_H),c_Message_OkeysFor(V_H_H),tc_nat) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f8,axiom,(
% 1.81/0.63 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f9,axiom,(
% 1.81/0.63 (![V_X,V_G,V_H]: (( ~ c_in(V_X,V_G,tc_Message_Omsg)| c_lessequals(c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f10,axiom,(
% 1.81/0.63 (![V_H]: (c_Message_Oparts(c_Message_Osynth(V_H)) = c_union(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_Message_Omsg) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f11,axiom,(
% 1.81/0.63 (![V_G,V_H]: (c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f12,axiom,(
% 1.81/0.63 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f13,axiom,(
% 1.81/0.63 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,V_A,T_a) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f14,axiom,(
% 1.81/0.63 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f15,axiom,(
% 1.81/0.63 (![V_c,V_B,T_a,V_A]: (( ~ c_in(V_c,V_B,T_a)| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ))),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f16,negated_conjecture,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat) ),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f17,negated_conjecture,(
% 1.81/0.63 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg) ),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f18,negated_conjecture,(
% 1.81/0.63 ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat) ),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f19,negated_conjecture,(
% 1.81/0.63 ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg) ),
% 1.81/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.63 fof(f20,plain,(
% 1.81/0.63 ![X0,X1]: (~c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat)|c_in(X0,c_Message_OkeysFor(X1),tc_nat)|c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X0)),X1,tc_Message_Omsg))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f1])).
% 1.81/0.63 fof(f21,plain,(
% 1.81/0.63 ![X0,X1]: (~c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat)|c_in(X0,c_Message_OkeysFor(X1),tc_nat)|X0=c_Message_OinvKey(v_sko__uhi(X1,X0)))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f2])).
% 1.81/0.63 fof(f22,plain,(
% 1.81/0.63 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f3])).
% 1.81/0.63 fof(f23,plain,(
% 1.81/0.63 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f4])).
% 1.81/0.63 fof(f24,plain,(
% 1.81/0.63 ![X0]: (c_Message_OinvKey(c_Message_OinvKey(X0))=X0)),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f5])).
% 1.81/0.63 fof(f25,plain,(
% 1.81/0.63 ![X0,X1]: (~c_lessequals(X0,X1,tc_set(tc_Message_Omsg))|c_lessequals(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_set(tc_nat)))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f6])).
% 1.81/0.63 fof(f26,plain,(
% 1.81/0.63 ![X0,X1]: (c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg))=c_union(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_nat))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f7])).
% 1.81/0.63 fof(f27,plain,(
% 1.81/0.63 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f8])).
% 1.81/0.63 fof(f28,plain,(
% 1.81/0.63 ![V_X,V_G]: (~c_in(V_X,V_G,tc_Message_Omsg)|(![V_H]: c_lessequals(c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))))),
% 1.81/0.63 inference(miniscoping,[status(esa)],[f9])).
% 1.81/0.63 fof(f29,plain,(
% 1.81/0.63 ![X0,X1,X2]: (~c_in(X0,X1,tc_Message_Omsg)|c_lessequals(c_Message_Oparts(c_insert(X0,X2,tc_Message_Omsg)),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f28])).
% 1.81/0.63 fof(f30,plain,(
% 1.81/0.63 ![X0]: (c_Message_Oparts(c_Message_Osynth(X0))=c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f10])).
% 1.81/0.63 fof(f31,plain,(
% 1.81/0.63 ![X0,X1]: (c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg))=c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f11])).
% 1.81/0.63 fof(f32,plain,(
% 1.81/0.63 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 1.81/0.63 inference(miniscoping,[status(esa)],[f12])).
% 1.81/0.63 fof(f33,plain,(
% 1.81/0.63 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f32])).
% 1.81/0.63 fof(f34,plain,(
% 1.81/0.63 ![V_c,V_A,T_a]: ((![V_B]: (~c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)))|c_in(V_c,V_A,T_a))),
% 1.81/0.63 inference(miniscoping,[status(esa)],[f13])).
% 1.81/0.63 fof(f35,plain,(
% 1.81/0.63 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f34])).
% 1.81/0.63 fof(f36,plain,(
% 1.81/0.63 ![V_c,V_A,T_a]: (~c_in(V_c,V_A,T_a)|(![V_B]: c_in(V_c,c_union(V_A,V_B,T_a),T_a)))),
% 1.81/0.63 inference(miniscoping,[status(esa)],[f14])).
% 1.81/0.63 fof(f37,plain,(
% 1.81/0.63 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f36])).
% 1.81/0.63 fof(f38,plain,(
% 1.81/0.63 ![V_c,V_B,T_a]: (~c_in(V_c,V_B,T_a)|(![V_A]: c_in(V_c,c_union(V_A,V_B,T_a),T_a)))),
% 1.81/0.63 inference(miniscoping,[status(esa)],[f15])).
% 1.81/0.63 fof(f39,plain,(
% 1.81/0.63 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f38])).
% 1.81/0.63 fof(f40,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat)),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f16])).
% 1.81/0.63 fof(f41,plain,(
% 1.81/0.63 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg)),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f17])).
% 1.81/0.63 fof(f42,plain,(
% 1.81/0.63 ~c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat)),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f18])).
% 1.81/0.63 fof(f43,plain,(
% 1.81/0.63 ~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg)),
% 1.81/0.63 inference(cnf_transformation,[status(esa)],[f19])).
% 1.81/0.63 fof(f46,plain,(
% 1.81/0.63 ![X0]: (c_in(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X0,tc_Message_Omsg),tc_Message_Omsg))),
% 1.81/0.63 inference(resolution,[status(thm)],[f37,f41])).
% 1.81/0.63 fof(f50,plain,(
% 1.81/0.63 ![X0]: (c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0)))=c_union(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f27,f30])).
% 1.81/0.63 fof(f66,plain,(
% 1.81/0.63 ![X0,X1,X2]: (~c_in(X0,X1,tc_Message_Omsg)|c_lessequals(c_Message_Oparts(c_insert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 1.81/0.63 inference(backward_demodulation,[status(thm)],[f31,f29])).
% 1.81/0.63 fof(f67,plain,(
% 1.81/0.63 ![X0,X1]: (c_Message_Oparts(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg))=c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f27,f31])).
% 1.81/0.63 fof(f68,plain,(
% 1.81/0.63 ![X0,X1]: (c_Message_Oparts(c_union(X0,c_Message_Oanalz(X1),tc_Message_Omsg))=c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f27,f31])).
% 1.81/0.63 fof(f71,plain,(
% 1.81/0.63 spl0_0 <=> c_in(v_X,X0,tc_Message_Omsg)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f72,plain,(
% 1.81/0.63 ![X0]: (c_in(v_X,X0,tc_Message_Omsg)|~spl0_0)),
% 1.81/0.63 inference(component_clause,[status(thm)],[f71])).
% 1.81/0.63 fof(f74,plain,(
% 1.81/0.63 spl0_1 <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f75,plain,(
% 1.81/0.63 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg)|~spl0_1),
% 1.81/0.63 inference(component_clause,[status(thm)],[f74])).
% 1.81/0.63 fof(f77,plain,(
% 1.81/0.63 ![X0]: (c_in(v_X,X0,tc_Message_Omsg)|c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg))),
% 1.81/0.63 inference(resolution,[status(thm)],[f35,f46])).
% 1.81/0.63 fof(f78,plain,(
% 1.81/0.63 spl0_0|spl0_1),
% 1.81/0.63 inference(split_clause,[status(thm)],[f77,f71,f74])).
% 1.81/0.63 fof(f81,plain,(
% 1.81/0.63 ![X0,X1,X2]: (~c_in(X0,c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)),tc_nat)|c_in(X0,c_Message_OkeysFor(X2),tc_nat)|c_in(X0,c_Message_OkeysFor(X1),tc_nat))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f26,f35])).
% 1.81/0.63 fof(f117,plain,(
% 1.81/0.63 ![X0]: (c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X0)),c_Message_OkeysFor(c_Message_Oparts(X0)),tc_set(tc_nat)))),
% 1.81/0.63 inference(resolution,[status(thm)],[f25,f23])).
% 1.81/0.63 fof(f133,plain,(
% 1.81/0.63 ![X0,X1]: (c_lessequals(c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg)),c_Message_Oparts(c_union(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~spl0_0)),
% 1.81/0.63 inference(resolution,[status(thm)],[f72,f66])).
% 1.81/0.63 fof(f136,plain,(
% 1.81/0.63 ![X0,X1]: (c_lessequals(c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg))),c_Message_OkeysFor(c_Message_Oparts(c_union(X1,X0,tc_Message_Omsg))),tc_set(tc_nat))|~spl0_0)),
% 1.81/0.63 inference(resolution,[status(thm)],[f133,f25])).
% 1.81/0.63 fof(f143,plain,(
% 1.81/0.63 ![X0,X1,X2]: (~c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,X1,tc_Message_Omsg))),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X2,X1,tc_Message_Omsg))),tc_nat)|~spl0_0)),
% 1.81/0.63 inference(resolution,[status(thm)],[f136,f33])).
% 1.81/0.63 fof(f161,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)|~spl0_0)),
% 1.81/0.63 inference(resolution,[status(thm)],[f143,f40])).
% 1.81/0.63 fof(f162,plain,(
% 1.81/0.63 ![X0,X1]: (c_in(v_K,c_union(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,v_G,tc_Message_Omsg))),tc_nat),tc_nat)|~spl0_0)),
% 1.81/0.63 inference(resolution,[status(thm)],[f161,f39])).
% 1.81/0.63 fof(f164,plain,(
% 1.81/0.63 spl0_3 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f165,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)|~spl0_3)),
% 1.81/0.63 inference(component_clause,[status(thm)],[f164])).
% 1.81/0.63 fof(f167,plain,(
% 1.81/0.63 spl0_4 <=> c_in(v_K,X1,tc_nat)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f168,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,X0,tc_nat)|~spl0_4)),
% 1.81/0.63 inference(component_clause,[status(thm)],[f167])).
% 1.81/0.63 fof(f170,plain,(
% 1.81/0.63 ![X0,X1]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)|c_in(v_K,X1,tc_nat)|~spl0_0)),
% 1.81/0.63 inference(resolution,[status(thm)],[f162,f35])).
% 1.81/0.63 fof(f171,plain,(
% 1.81/0.63 spl0_3|spl0_4|~spl0_0),
% 1.81/0.63 inference(split_clause,[status(thm)],[f170,f164,f167,f71])).
% 1.81/0.63 fof(f209,plain,(
% 1.81/0.63 $false|~spl0_4),
% 1.81/0.63 inference(backward_subsumption_resolution,[status(thm)],[f42,f168])).
% 1.81/0.63 fof(f210,plain,(
% 1.81/0.63 ~spl0_4),
% 1.81/0.63 inference(contradiction_clause,[status(thm)],[f209])).
% 1.81/0.63 fof(f211,plain,(
% 1.81/0.63 ![X0]: (c_lessequals(c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg)),c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~spl0_1)),
% 1.81/0.63 inference(resolution,[status(thm)],[f75,f66])).
% 1.81/0.63 fof(f237,plain,(
% 1.81/0.63 ![X0]: (c_lessequals(c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg))),c_Message_OkeysFor(c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X0,tc_Message_Omsg))),tc_set(tc_nat))|~spl0_1)),
% 1.81/0.63 inference(resolution,[status(thm)],[f211,f25])).
% 1.81/0.63 fof(f270,plain,(
% 1.81/0.63 ![X0,X1]: (~c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat))),
% 1.81/0.63 inference(resolution,[status(thm)],[f117,f33])).
% 1.81/0.63 fof(f319,plain,(
% 1.81/0.63 ![X0,X1]: (c_Message_Oparts(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg))=c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f31,f67])).
% 1.81/0.63 fof(f340,plain,(
% 1.81/0.63 ![X0,X1]: (c_Message_Oparts(c_union(X0,c_Message_Oanalz(X1),tc_Message_Omsg))=c_Message_Oparts(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f67,f68])).
% 1.81/0.63 fof(f341,plain,(
% 1.81/0.63 ![X0,X1]: (c_Message_Oparts(c_union(X0,c_Message_Oanalz(X1),tc_Message_Omsg))=c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f31,f68])).
% 1.81/0.63 fof(f382,plain,(
% 1.81/0.63 ![X0,X1,X2]: (~c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,c_Message_Oanalz(X2),tc_Message_Omsg))),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X2)),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f68,f81])).
% 1.81/0.63 fof(f383,plain,(
% 1.81/0.63 ![X0,X1,X2]: (~c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg))),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X2)),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat))),
% 1.81/0.63 inference(forward_demodulation,[status(thm)],[f341,f382])).
% 1.81/0.63 fof(f387,plain,(
% 1.81/0.63 ![X0,X1]: (~c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1)))),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(X1))),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat))),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f50,f81])).
% 1.81/0.63 fof(f740,plain,(
% 1.81/0.63 ![X0,X1]: (~c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,X1,tc_Message_Omsg))),tc_nat)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X1,tc_Message_Omsg))),tc_nat)|~spl0_1)),
% 1.81/0.63 inference(resolution,[status(thm)],[f237,f33])).
% 1.81/0.63 fof(f2339,plain,(
% 1.81/0.63 spl0_71 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f2340,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)|~spl0_71)),
% 1.81/0.63 inference(component_clause,[status(thm)],[f2339])).
% 1.81/0.63 fof(f3270,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),v_G,tc_Message_Omsg))),tc_nat)|~spl0_1),
% 1.81/0.63 inference(resolution,[status(thm)],[f740,f40])).
% 1.81/0.63 fof(f4976,plain,(
% 1.81/0.63 spl0_93 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f4977,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)|~spl0_93),
% 1.81/0.63 inference(component_clause,[status(thm)],[f4976])).
% 1.81/0.63 fof(f4979,plain,(
% 1.81/0.63 spl0_94 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f4980,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)|~spl0_94),
% 1.81/0.63 inference(component_clause,[status(thm)],[f4979])).
% 1.81/0.63 fof(f4982,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)|c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)|~spl0_1),
% 1.81/0.63 inference(resolution,[status(thm)],[f3270,f383])).
% 1.81/0.63 fof(f4983,plain,(
% 1.81/0.63 spl0_93|spl0_94|~spl0_1),
% 1.81/0.63 inference(split_clause,[status(thm)],[f4982,f4976,f4979,f74])).
% 1.81/0.63 fof(f4987,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_union(c_Message_OkeysFor(c_Message_Oparts(v_G)),X0,tc_nat),tc_nat)|~spl0_93)),
% 1.81/0.63 inference(resolution,[status(thm)],[f4977,f37])).
% 1.81/0.63 fof(f4997,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_union(c_Message_Oparts(v_G),X0,tc_Message_Omsg)),tc_nat)|~spl0_93)),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f26,f4987])).
% 1.81/0.63 fof(f5013,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,c_Message_Oanalz(X0),tc_Message_Omsg))),tc_nat)|~spl0_93)),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f68,f4997])).
% 1.81/0.63 fof(f5014,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Message_Oanalz(v_G),X0,tc_Message_Omsg))),tc_nat)|~spl0_93)),
% 1.81/0.63 inference(forward_demodulation,[status(thm)],[f340,f5013])).
% 1.81/0.63 fof(f5015,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,X0,tc_Message_Omsg))),tc_nat)|~spl0_93)),
% 1.81/0.63 inference(forward_demodulation,[status(thm)],[f319,f5014])).
% 1.81/0.63 fof(f5046,plain,(
% 1.81/0.63 spl0_98 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f5047,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)|~spl0_98),
% 1.81/0.63 inference(component_clause,[status(thm)],[f5046])).
% 1.81/0.63 fof(f5049,plain,(
% 1.81/0.63 spl0_99 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f5050,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|~spl0_99),
% 1.81/0.63 inference(component_clause,[status(thm)],[f5049])).
% 1.81/0.63 fof(f5052,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)|c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|~spl0_94),
% 1.81/0.63 inference(resolution,[status(thm)],[f4980,f387])).
% 1.81/0.63 fof(f5053,plain,(
% 1.81/0.63 spl0_98|spl0_99|~spl0_94),
% 1.81/0.63 inference(split_clause,[status(thm)],[f5052,f5046,f5049,f4979])).
% 1.81/0.63 fof(f5064,plain,(
% 1.81/0.63 spl0_101 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f5065,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)|~spl0_101),
% 1.81/0.63 inference(component_clause,[status(thm)],[f5064])).
% 1.81/0.63 fof(f5067,plain,(
% 1.81/0.63 spl0_102 <=> v_K=c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f5068,plain,(
% 1.81/0.63 v_K=c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))|~spl0_102),
% 1.81/0.63 inference(component_clause,[status(thm)],[f5067])).
% 1.81/0.63 fof(f5070,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)|v_K=c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))|~spl0_98),
% 1.81/0.63 inference(resolution,[status(thm)],[f5047,f21])).
% 1.81/0.63 fof(f5071,plain,(
% 1.81/0.63 spl0_101|spl0_102|~spl0_98),
% 1.81/0.63 inference(split_clause,[status(thm)],[f5070,f5064,f5067,f5046])).
% 1.81/0.63 fof(f5072,plain,(
% 1.81/0.63 spl0_103 <=> c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f5073,plain,(
% 1.81/0.63 c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)|~spl0_103),
% 1.81/0.63 inference(component_clause,[status(thm)],[f5072])).
% 1.81/0.63 fof(f5075,plain,(
% 1.81/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)|c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)|~spl0_98),
% 1.81/0.63 inference(resolution,[status(thm)],[f5047,f20])).
% 1.81/0.63 fof(f5076,plain,(
% 1.81/0.63 spl0_101|spl0_103|~spl0_98),
% 1.81/0.63 inference(split_clause,[status(thm)],[f5075,f5064,f5072,f5046])).
% 1.81/0.63 fof(f5081,plain,(
% 1.81/0.63 c_Message_OinvKey(v_K)=v_sko__uhi(c_Message_Oanalz(v_H),v_K)|~spl0_102),
% 1.81/0.63 inference(paramodulation,[status(thm)],[f5068,f24])).
% 1.81/0.63 fof(f5083,plain,(
% 1.81/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)|c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)|~spl0_3)),
% 2.23/0.63 inference(resolution,[status(thm)],[f165,f383])).
% 2.23/0.63 fof(f5084,plain,(
% 2.23/0.63 spl0_93|spl0_71|~spl0_3),
% 2.23/0.63 inference(split_clause,[status(thm)],[f5083,f4976,f2339,f164])).
% 2.23/0.63 fof(f5131,plain,(
% 2.23/0.63 $false|~spl0_71),
% 2.23/0.63 inference(forward_subsumption_resolution,[status(thm)],[f42,f2340])).
% 2.23/0.63 fof(f5132,plain,(
% 2.23/0.63 ~spl0_71),
% 2.23/0.63 inference(contradiction_clause,[status(thm)],[f5131])).
% 2.23/0.63 fof(f5871,plain,(
% 2.23/0.63 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|~spl0_101),
% 2.23/0.63 inference(resolution,[status(thm)],[f5065,f270])).
% 2.23/0.63 fof(f5872,plain,(
% 2.23/0.63 ![X0]: (c_in(v_K,c_union(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),tc_nat)|~spl0_101)),
% 2.23/0.63 inference(resolution,[status(thm)],[f5871,f39])).
% 2.23/0.63 fof(f5949,plain,(
% 2.23/0.63 $false|~spl0_93),
% 2.23/0.63 inference(backward_subsumption_resolution,[status(thm)],[f42,f5015])).
% 2.23/0.63 fof(f5950,plain,(
% 2.23/0.63 ~spl0_93),
% 2.23/0.63 inference(contradiction_clause,[status(thm)],[f5949])).
% 2.23/0.63 fof(f5953,plain,(
% 2.23/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|c_in(v_K,X0,tc_nat)|~spl0_101)),
% 2.23/0.63 inference(resolution,[status(thm)],[f5872,f35])).
% 2.23/0.63 fof(f5954,plain,(
% 2.23/0.63 spl0_99|spl0_4|~spl0_101),
% 2.23/0.63 inference(split_clause,[status(thm)],[f5953,f5049,f167,f5064])).
% 2.23/0.63 fof(f6582,plain,(
% 2.23/0.63 ![X0]: (c_in(v_K,c_union(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),tc_nat)|~spl0_99)),
% 2.23/0.63 inference(resolution,[status(thm)],[f5050,f39])).
% 2.23/0.63 fof(f6588,plain,(
% 2.23/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_union(X0,c_Message_Oparts(v_H),tc_Message_Omsg)),tc_nat)|~spl0_99)),
% 2.23/0.63 inference(paramodulation,[status(thm)],[f26,f6582])).
% 2.23/0.63 fof(f6599,plain,(
% 2.23/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,c_Message_Oanalz(v_H),tc_Message_Omsg))),tc_nat)|~spl0_99)),
% 2.23/0.63 inference(paramodulation,[status(thm)],[f68,f6588])).
% 2.23/0.63 fof(f6600,plain,(
% 2.23/0.63 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_H,tc_Message_Omsg))),tc_nat)|~spl0_99)),
% 2.23/0.63 inference(forward_demodulation,[status(thm)],[f341,f6599])).
% 2.23/0.63 fof(f6624,plain,(
% 2.23/0.63 $false|~spl0_99),
% 2.23/0.63 inference(backward_subsumption_resolution,[status(thm)],[f42,f6600])).
% 2.23/0.63 fof(f6625,plain,(
% 2.23/0.63 ~spl0_99),
% 2.23/0.63 inference(contradiction_clause,[status(thm)],[f6624])).
% 2.23/0.63 fof(f6630,plain,(
% 2.23/0.63 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)|~spl0_102|~spl0_103),
% 2.23/0.63 inference(forward_demodulation,[status(thm)],[f5081,f5073])).
% 2.23/0.63 fof(f6631,plain,(
% 2.23/0.63 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg)|~spl0_102|~spl0_103),
% 2.23/0.63 inference(resolution,[status(thm)],[f6630,f22])).
% 2.23/0.63 fof(f6632,plain,(
% 2.23/0.63 $false|~spl0_102|~spl0_103),
% 2.23/0.63 inference(forward_subsumption_resolution,[status(thm)],[f6631,f43])).
% 2.23/0.63 fof(f6633,plain,(
% 2.23/0.63 ~spl0_102|~spl0_103),
% 2.23/0.63 inference(contradiction_clause,[status(thm)],[f6632])).
% 2.23/0.63 fof(f6634,plain,(
% 2.23/0.63 $false),
% 2.23/0.63 inference(sat_refutation,[status(thm)],[f78,f171,f210,f4983,f5053,f5071,f5076,f5084,f5132,f5950,f5954,f6625,f6633])).
% 2.23/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 2.23/0.65 % Elapsed time: 0.312998 seconds
% 2.23/0.65 % CPU time: 2.337555 seconds
% 2.23/0.65 % Memory used: 111.302 MB
%------------------------------------------------------------------------------