TSTP Solution File: SWV276-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n022.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 20:46:30 EDT 2024
% Result : Unsatisfiable 2.52s 0.72s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 00:51:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 2.52/0.72 % Refutation found
% 2.52/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.52/0.72 % SZS output start CNFRefutation for theBenchmark
% 2.52/0.72 fof(f1,axiom,(
% 2.52/0.72 (![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) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f2,axiom,(
% 2.52/0.72 (![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)) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f3,axiom,(
% 2.52/0.72 (![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) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f4,axiom,(
% 2.52/0.72 (![V_H]: (c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f5,axiom,(
% 2.52/0.72 (![V_y]: (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f6,axiom,(
% 2.52/0.72 (![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)) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f7,axiom,(
% 2.52/0.72 (![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) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f8,axiom,(
% 2.52/0.72 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f9,axiom,(
% 2.52/0.72 (![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)) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f10,axiom,(
% 2.52/0.72 (![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) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f11,axiom,(
% 2.52/0.72 (![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) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f12,axiom,(
% 2.52/0.72 (![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) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f13,axiom,(
% 2.52/0.72 (![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) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f14,axiom,(
% 2.52/0.72 (![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) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f15,axiom,(
% 2.52/0.72 (![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) ) ))),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f16,negated_conjecture,(
% 2.52/0.72 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat) ),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f17,negated_conjecture,(
% 2.52/0.72 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg) ),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f18,negated_conjecture,(
% 2.52/0.72 ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat) ),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f19,negated_conjecture,(
% 2.52/0.72 ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg) ),
% 2.52/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.52/0.72 fof(f20,plain,(
% 2.52/0.72 ![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))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f1])).
% 2.52/0.73 fof(f21,plain,(
% 2.52/0.73 ![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)))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f2])).
% 2.52/0.73 fof(f22,plain,(
% 2.52/0.73 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f3])).
% 2.52/0.73 fof(f23,plain,(
% 2.52/0.73 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f4])).
% 2.52/0.73 fof(f24,plain,(
% 2.52/0.73 ![X0]: (c_Message_OinvKey(c_Message_OinvKey(X0))=X0)),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f5])).
% 2.52/0.73 fof(f25,plain,(
% 2.52/0.73 ![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)))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f6])).
% 2.52/0.73 fof(f26,plain,(
% 2.52/0.73 ![X0,X1]: (c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg))=c_union(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_nat))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f7])).
% 2.52/0.73 fof(f27,plain,(
% 2.52/0.73 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f8])).
% 2.52/0.73 fof(f28,plain,(
% 2.52/0.73 ![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))))),
% 2.52/0.73 inference(miniscoping,[status(esa)],[f9])).
% 2.52/0.73 fof(f29,plain,(
% 2.52/0.73 ![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)))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f28])).
% 2.52/0.73 fof(f30,plain,(
% 2.52/0.73 ![X0]: (c_Message_Oparts(c_Message_Osynth(X0))=c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f10])).
% 2.52/0.73 fof(f31,plain,(
% 2.52/0.73 ![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))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f11])).
% 2.52/0.73 fof(f32,plain,(
% 2.52/0.73 ![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))),
% 2.52/0.73 inference(miniscoping,[status(esa)],[f12])).
% 2.52/0.73 fof(f33,plain,(
% 2.52/0.73 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f32])).
% 2.52/0.73 fof(f34,plain,(
% 2.52/0.73 ![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))),
% 2.52/0.73 inference(miniscoping,[status(esa)],[f13])).
% 2.52/0.73 fof(f35,plain,(
% 2.52/0.73 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f34])).
% 2.52/0.73 fof(f36,plain,(
% 2.52/0.73 ![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)))),
% 2.52/0.73 inference(miniscoping,[status(esa)],[f14])).
% 2.52/0.73 fof(f37,plain,(
% 2.52/0.73 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f36])).
% 2.52/0.73 fof(f38,plain,(
% 2.52/0.73 ![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)))),
% 2.52/0.73 inference(miniscoping,[status(esa)],[f15])).
% 2.52/0.73 fof(f39,plain,(
% 2.52/0.73 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f38])).
% 2.52/0.73 fof(f40,plain,(
% 2.52/0.73 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat)),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f16])).
% 2.52/0.73 fof(f41,plain,(
% 2.52/0.73 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg)),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f17])).
% 2.52/0.73 fof(f42,plain,(
% 2.52/0.73 ~c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat)),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f18])).
% 2.52/0.73 fof(f43,plain,(
% 2.52/0.73 ~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg)),
% 2.52/0.73 inference(cnf_transformation,[status(esa)],[f19])).
% 2.52/0.73 fof(f46,plain,(
% 2.52/0.73 ![X0]: (c_in(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X0,tc_Message_Omsg),tc_Message_Omsg))),
% 2.52/0.73 inference(resolution,[status(thm)],[f37,f41])).
% 2.52/0.73 fof(f50,plain,(
% 2.52/0.73 ![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))),
% 2.52/0.73 inference(paramodulation,[status(thm)],[f27,f30])).
% 2.52/0.73 fof(f63,plain,(
% 2.52/0.73 ![X0]: (~c_lessequals(c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),X0,tc_set(tc_nat))|c_in(v_K,X0,tc_nat))),
% 2.52/0.73 inference(resolution,[status(thm)],[f33,f40])).
% 2.52/0.73 fof(f68,plain,(
% 2.52/0.73 ![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)))),
% 2.52/0.73 inference(backward_demodulation,[status(thm)],[f31,f29])).
% 2.52/0.73 fof(f96,plain,(
% 2.52/0.73 spl0_0 <=> c_in(v_X,X0,tc_Message_Omsg)),
% 2.52/0.73 introduced(split_symbol_definition)).
% 2.52/0.73 fof(f97,plain,(
% 2.52/0.73 ![X0]: (c_in(v_X,X0,tc_Message_Omsg)|~spl0_0)),
% 2.52/0.73 inference(component_clause,[status(thm)],[f96])).
% 2.52/0.73 fof(f99,plain,(
% 2.52/0.73 spl0_1 <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg)),
% 2.52/0.73 introduced(split_symbol_definition)).
% 2.52/0.73 fof(f100,plain,(
% 2.52/0.73 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg)|~spl0_1),
% 2.52/0.73 inference(component_clause,[status(thm)],[f99])).
% 2.52/0.73 fof(f102,plain,(
% 2.52/0.73 ![X0]: (c_in(v_X,X0,tc_Message_Omsg)|c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg))),
% 2.52/0.73 inference(resolution,[status(thm)],[f35,f46])).
% 2.52/0.73 fof(f103,plain,(
% 2.52/0.73 spl0_0|spl0_1),
% 2.52/0.73 inference(split_clause,[status(thm)],[f102,f96,f99])).
% 2.52/0.73 fof(f106,plain,(
% 2.52/0.73 ![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))),
% 2.52/0.73 inference(paramodulation,[status(thm)],[f26,f35])).
% 2.52/0.73 fof(f149,plain,(
% 2.52/0.73 ![X0]: (c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X0)),c_Message_OkeysFor(c_Message_Oparts(X0)),tc_set(tc_nat)))),
% 2.52/0.73 inference(resolution,[status(thm)],[f25,f23])).
% 2.52/0.73 fof(f163,plain,(
% 2.52/0.73 ![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)),
% 2.52/0.73 inference(resolution,[status(thm)],[f97,f68])).
% 2.52/0.73 fof(f167,plain,(
% 2.52/0.73 ![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)),
% 2.52/0.73 inference(resolution,[status(thm)],[f163,f25])).
% 2.52/0.73 fof(f296,plain,(
% 2.52/0.73 spl0_3 <=> c_in(v_K,X0,tc_nat)),
% 2.52/0.73 introduced(split_symbol_definition)).
% 2.52/0.73 fof(f297,plain,(
% 2.52/0.73 ![X0]: (c_in(v_K,X0,tc_nat)|~spl0_3)),
% 2.52/0.73 inference(component_clause,[status(thm)],[f296])).
% 2.52/0.73 fof(f386,plain,(
% 2.52/0.73 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)|~spl0_0)),
% 2.52/0.73 inference(resolution,[status(thm)],[f63,f167])).
% 2.52/0.73 fof(f394,plain,(
% 2.52/0.73 ![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))),
% 2.52/0.73 inference(paramodulation,[status(thm)],[f31,f106])).
% 2.52/0.73 fof(f396,plain,(
% 2.52/0.73 ![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))),
% 2.52/0.73 inference(paramodulation,[status(thm)],[f50,f106])).
% 2.52/0.73 fof(f412,plain,(
% 2.52/0.73 ![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)),
% 2.52/0.73 inference(resolution,[status(thm)],[f386,f39])).
% 2.52/0.73 fof(f415,plain,(
% 2.52/0.73 spl0_7 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)),
% 2.52/0.73 introduced(split_symbol_definition)).
% 2.52/0.73 fof(f416,plain,(
% 2.52/0.73 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)|~spl0_7)),
% 2.52/0.73 inference(component_clause,[status(thm)],[f415])).
% 2.52/0.73 fof(f418,plain,(
% 2.52/0.73 ![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)),
% 2.52/0.73 inference(resolution,[status(thm)],[f412,f35])).
% 2.52/0.73 fof(f419,plain,(
% 2.52/0.73 spl0_7|spl0_3|~spl0_0),
% 2.52/0.73 inference(split_clause,[status(thm)],[f418,f415,f296,f96])).
% 2.52/0.73 fof(f426,plain,(
% 2.52/0.73 $false|~spl0_3),
% 2.52/0.73 inference(backward_subsumption_resolution,[status(thm)],[f42,f297])).
% 2.52/0.73 fof(f427,plain,(
% 2.52/0.73 ~spl0_3),
% 2.52/0.73 inference(contradiction_clause,[status(thm)],[f426])).
% 2.52/0.73 fof(f437,plain,(
% 2.52/0.73 ![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)),
% 2.52/0.73 inference(resolution,[status(thm)],[f100,f68])).
% 2.52/0.73 fof(f441,plain,(
% 2.52/0.73 ![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)),
% 2.52/0.73 inference(resolution,[status(thm)],[f437,f25])).
% 2.52/0.73 fof(f739,plain,(
% 2.52/0.73 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),
% 2.52/0.73 inference(resolution,[status(thm)],[f63,f441])).
% 2.52/0.73 fof(f3422,plain,(
% 2.52/0.73 spl0_124 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)),
% 2.52/0.73 introduced(split_symbol_definition)).
% 2.52/0.73 fof(f3423,plain,(
% 2.52/0.73 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)|~spl0_124)),
% 2.52/0.73 inference(component_clause,[status(thm)],[f3422])).
% 2.52/0.73 fof(f3429,plain,(
% 2.52/0.73 spl0_125 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)),
% 2.52/0.73 introduced(split_symbol_definition)).
% 2.52/0.73 fof(f3430,plain,(
% 2.52/0.73 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)|~spl0_125),
% 2.52/0.73 inference(component_clause,[status(thm)],[f3429])).
% 2.52/0.73 fof(f3432,plain,(
% 2.52/0.73 spl0_126 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)),
% 2.52/0.73 introduced(split_symbol_definition)).
% 2.52/0.73 fof(f3433,plain,(
% 2.52/0.73 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)|~spl0_126),
% 2.52/0.73 inference(component_clause,[status(thm)],[f3432])).
% 2.52/0.73 fof(f3435,plain,(
% 2.52/0.73 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),
% 2.52/0.73 inference(resolution,[status(thm)],[f394,f739])).
% 2.52/0.73 fof(f3436,plain,(
% 2.52/0.73 spl0_125|spl0_126|~spl0_1),
% 2.52/0.73 inference(split_clause,[status(thm)],[f3435,f3429,f3432,f99])).
% 2.52/0.73 fof(f3503,plain,(
% 2.52/0.73 ![X0]: (c_in(v_K,c_union(c_Message_OkeysFor(c_Message_Oparts(v_G)),X0,tc_nat),tc_nat)|~spl0_125)),
% 2.52/0.73 inference(resolution,[status(thm)],[f3430,f37])).
% 2.52/0.73 fof(f3515,plain,(
% 2.52/0.73 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_union(c_Message_Oparts(v_G),X0,tc_Message_Omsg)),tc_nat)|~spl0_125)),
% 2.52/0.73 inference(paramodulation,[status(thm)],[f26,f3503])).
% 2.52/0.73 fof(f3527,plain,(
% 2.52/0.73 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,X0,tc_Message_Omsg))),tc_nat)|~spl0_125)),
% 2.52/0.73 inference(paramodulation,[status(thm)],[f31,f3515])).
% 2.52/0.73 fof(f3728,plain,(
% 2.52/0.74 spl0_145 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)),
% 2.52/0.74 introduced(split_symbol_definition)).
% 2.52/0.74 fof(f3729,plain,(
% 2.52/0.74 c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)|~spl0_145),
% 2.52/0.74 inference(component_clause,[status(thm)],[f3728])).
% 2.52/0.74 fof(f3731,plain,(
% 2.52/0.74 spl0_146 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)),
% 2.52/0.74 introduced(split_symbol_definition)).
% 2.52/0.74 fof(f3732,plain,(
% 2.52/0.74 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|~spl0_146),
% 2.52/0.74 inference(component_clause,[status(thm)],[f3731])).
% 2.52/0.74 fof(f3733,plain,(
% 2.52/0.74 ~c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|spl0_146),
% 2.52/0.74 inference(component_clause,[status(thm)],[f3731])).
% 2.52/0.74 fof(f3734,plain,(
% 2.52/0.74 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_126),
% 2.52/0.74 inference(resolution,[status(thm)],[f3433,f396])).
% 2.52/0.74 fof(f3735,plain,(
% 2.52/0.74 spl0_145|spl0_146|~spl0_126),
% 2.52/0.74 inference(split_clause,[status(thm)],[f3734,f3728,f3731,f3432])).
% 2.52/0.74 fof(f3748,plain,(
% 2.52/0.74 spl0_148 <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)),
% 2.52/0.74 introduced(split_symbol_definition)).
% 2.52/0.74 fof(f3749,plain,(
% 2.52/0.74 c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)|~spl0_148),
% 2.52/0.74 inference(component_clause,[status(thm)],[f3748])).
% 2.52/0.74 fof(f3751,plain,(
% 2.52/0.74 spl0_149 <=> v_K=c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))),
% 2.52/0.74 introduced(split_symbol_definition)).
% 2.52/0.74 fof(f3752,plain,(
% 2.52/0.74 v_K=c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))|~spl0_149),
% 2.52/0.74 inference(component_clause,[status(thm)],[f3751])).
% 2.52/0.74 fof(f3754,plain,(
% 2.52/0.74 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_145),
% 2.52/0.74 inference(resolution,[status(thm)],[f3729,f21])).
% 2.52/0.74 fof(f3755,plain,(
% 2.52/0.74 spl0_148|spl0_149|~spl0_145),
% 2.52/0.74 inference(split_clause,[status(thm)],[f3754,f3748,f3751,f3728])).
% 2.52/0.74 fof(f3756,plain,(
% 2.52/0.74 spl0_150 <=> c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)),
% 2.52/0.74 introduced(split_symbol_definition)).
% 2.52/0.74 fof(f3757,plain,(
% 2.52/0.74 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_150),
% 2.52/0.74 inference(component_clause,[status(thm)],[f3756])).
% 2.52/0.74 fof(f3759,plain,(
% 2.52/0.74 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_145),
% 2.52/0.74 inference(resolution,[status(thm)],[f3729,f20])).
% 2.52/0.74 fof(f3760,plain,(
% 2.52/0.74 spl0_148|spl0_150|~spl0_145),
% 2.52/0.74 inference(split_clause,[status(thm)],[f3759,f3748,f3756,f3728])).
% 2.52/0.74 fof(f3764,plain,(
% 2.52/0.74 ![X0]: (~c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),X0,tc_set(tc_nat))|c_in(v_K,X0,tc_nat)|~spl0_148)),
% 2.52/0.74 inference(resolution,[status(thm)],[f3749,f33])).
% 2.52/0.74 fof(f3767,plain,(
% 2.52/0.74 c_Message_OinvKey(v_K)=v_sko__uhi(c_Message_Oanalz(v_H),v_K)|~spl0_149),
% 2.52/0.74 inference(paramodulation,[status(thm)],[f3752,f24])).
% 2.52/0.74 fof(f4328,plain,(
% 2.52/0.74 ![X0]: (c_in(v_K,c_union(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),tc_nat)|~spl0_146)),
% 2.52/0.74 inference(resolution,[status(thm)],[f3732,f39])).
% 2.52/0.74 fof(f4400,plain,(
% 2.52/0.74 $false|~spl0_125),
% 2.52/0.74 inference(backward_subsumption_resolution,[status(thm)],[f42,f3527])).
% 2.52/0.74 fof(f4401,plain,(
% 2.52/0.74 ~spl0_125),
% 2.52/0.74 inference(contradiction_clause,[status(thm)],[f4400])).
% 2.52/0.74 fof(f4658,plain,(
% 2.52/0.74 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_union(X0,c_Message_Oparts(v_H),tc_Message_Omsg)),tc_nat)|~spl0_146)),
% 2.52/0.74 inference(paramodulation,[status(thm)],[f26,f4328])).
% 2.52/0.74 fof(f4698,plain,(
% 2.52/0.74 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_H,tc_Message_Omsg))),tc_nat)|~spl0_146)),
% 2.52/0.74 inference(paramodulation,[status(thm)],[f31,f4658])).
% 2.52/0.74 fof(f4715,plain,(
% 2.52/0.74 $false|~spl0_146),
% 2.52/0.74 inference(backward_subsumption_resolution,[status(thm)],[f42,f4698])).
% 2.52/0.74 fof(f4716,plain,(
% 2.52/0.74 ~spl0_146),
% 2.52/0.74 inference(contradiction_clause,[status(thm)],[f4715])).
% 2.52/0.74 fof(f4820,plain,(
% 2.52/0.74 ![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_7)),
% 2.52/0.74 inference(resolution,[status(thm)],[f416,f394])).
% 2.52/0.74 fof(f4821,plain,(
% 2.52/0.74 spl0_125|spl0_124|~spl0_7),
% 2.52/0.74 inference(split_clause,[status(thm)],[f4820,f3429,f3422,f415])).
% 2.52/0.74 fof(f4828,plain,(
% 2.52/0.74 $false|~spl0_124|spl0_146),
% 2.52/0.74 inference(backward_subsumption_resolution,[status(thm)],[f3733,f3423])).
% 2.52/0.74 fof(f4829,plain,(
% 2.52/0.74 ~spl0_124|spl0_146),
% 2.52/0.74 inference(contradiction_clause,[status(thm)],[f4828])).
% 2.52/0.74 fof(f5813,plain,(
% 2.52/0.74 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|~spl0_148),
% 2.52/0.74 inference(resolution,[status(thm)],[f3764,f149])).
% 2.52/0.74 fof(f5814,plain,(
% 2.52/0.74 spl0_146|~spl0_148),
% 2.52/0.74 inference(split_clause,[status(thm)],[f5813,f3731,f3748])).
% 2.52/0.74 fof(f5815,plain,(
% 2.52/0.74 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)|~spl0_149|~spl0_150),
% 2.52/0.74 inference(forward_demodulation,[status(thm)],[f3767,f3757])).
% 2.52/0.74 fof(f5816,plain,(
% 2.52/0.74 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg)|~spl0_149|~spl0_150),
% 2.52/0.74 inference(resolution,[status(thm)],[f5815,f22])).
% 2.52/0.74 fof(f5817,plain,(
% 2.52/0.74 $false|~spl0_149|~spl0_150),
% 2.52/0.74 inference(forward_subsumption_resolution,[status(thm)],[f5816,f43])).
% 2.52/0.74 fof(f5818,plain,(
% 2.52/0.74 ~spl0_149|~spl0_150),
% 2.52/0.74 inference(contradiction_clause,[status(thm)],[f5817])).
% 2.52/0.74 fof(f5819,plain,(
% 2.52/0.74 $false),
% 2.52/0.74 inference(sat_refutation,[status(thm)],[f103,f419,f427,f3436,f3735,f3755,f3760,f4401,f4716,f4821,f4829,f5814,f5818])).
% 2.52/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 2.74/0.76 % Elapsed time: 0.393825 seconds
% 2.74/0.76 % CPU time: 2.958045 seconds
% 2.74/0.76 % Total memory used: 142.998 MB
% 2.74/0.76 % Net memory used: 140.659 MB
%------------------------------------------------------------------------------