%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 02:50:24 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:39:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.51 % Refutation found
% 0.12/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.51 fof(f1,axiom,(
% 0.12/0.51 (![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) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f2,axiom,(
% 0.12/0.51 (![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)) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f3,axiom,(
% 0.12/0.51 (![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) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f4,axiom,(
% 0.12/0.51 (![V_H]: (c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f5,axiom,(
% 0.12/0.51 (![V_y]: (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f6,axiom,(
% 0.12/0.51 (![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)) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f7,axiom,(
% 0.12/0.51 (![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) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f8,axiom,(
% 0.12/0.51 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f9,axiom,(
% 0.12/0.51 (![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)) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f10,axiom,(
% 0.12/0.51 (![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) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f11,axiom,(
% 0.12/0.51 (![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) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f12,axiom,(
% 0.12/0.51 (![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) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f13,axiom,(
% 0.12/0.51 (![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) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f14,axiom,(
% 0.12/0.51 (![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) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f15,axiom,(
% 0.12/0.51 (![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) ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f16,negated_conjecture,(
% 0.12/0.51 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat) ),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f17,negated_conjecture,(
% 0.12/0.51 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg) ),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f18,negated_conjecture,(
% 0.12/0.51 ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat) ),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f19,negated_conjecture,(
% 0.12/0.51 ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg) ),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f20,plain,(
% 0.12/0.51 ![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))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.52 fof(f21,plain,(
% 0.12/0.52 ![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)))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.52 fof(f22,plain,(
% 0.12/0.52 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.52 fof(f23,plain,(
% 0.12/0.52 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.52 fof(f24,plain,(
% 0.12/0.52 ![X0]: (c_Message_OinvKey(c_Message_OinvKey(X0))=X0)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.52 fof(f25,plain,(
% 0.12/0.52 ![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)))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.52 fof(f26,plain,(
% 0.12/0.52 ![X0,X1]: (c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg))=c_union(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_nat))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.52 fof(f27,plain,(
% 0.12/0.52 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.52 fof(f28,plain,(
% 0.12/0.52 ![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))))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.52 fof(f29,plain,(
% 0.12/0.52 ![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)))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.52 fof(f30,plain,(
% 0.12/0.52 ![X0]: (c_Message_Oparts(c_Message_Osynth(X0))=c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.52 fof(f31,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.52 fof(f32,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f12])).
% 0.12/0.52 fof(f33,plain,(
% 0.12/0.52 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.52 fof(f34,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f13])).
% 0.12/0.52 fof(f35,plain,(
% 0.12/0.52 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.52 fof(f36,plain,(
% 0.12/0.52 ![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)))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f14])).
% 0.12/0.52 fof(f37,plain,(
% 0.12/0.52 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.52 fof(f38,plain,(
% 0.12/0.52 ![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)))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.52 fof(f39,plain,(
% 0.12/0.52 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.52 fof(f40,plain,(
% 0.12/0.52 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.52 fof(f41,plain,(
% 0.12/0.52 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.52 fof(f42,plain,(
% 0.12/0.52 ~c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.52 fof(f43,plain,(
% 0.12/0.52 ~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.52 fof(f50,plain,(
% 0.12/0.52 ![X0]: (c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X0)),c_Message_OkeysFor(c_Message_Oparts(X0)),tc_set(tc_nat)))),
% 0.12/0.52 inference(resolution,[status(thm)],[f25,f23])).
% 0.12/0.52 fof(f53,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f27,f30])).
% 0.12/0.52 fof(f54,plain,(
% 0.12/0.52 ![X0]: (c_lessequals(c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg)),c_union(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),c_Message_Oparts(X0),tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 0.12/0.52 inference(resolution,[status(thm)],[f29,f41])).
% 0.12/0.52 fof(f63,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(resolution,[status(thm)],[f33,f40])).
% 0.12/0.52 fof(f67,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f26,f35])).
% 0.12/0.52 fof(f131,plain,(
% 0.12/0.52 ![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)))),
% 0.12/0.52 inference(forward_demodulation,[status(thm)],[f31,f54])).
% 0.12/0.52 fof(f132,plain,(
% 0.12/0.52 ![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)))),
% 0.12/0.52 inference(resolution,[status(thm)],[f131,f25])).
% 0.12/0.52 fof(f179,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f31,f67])).
% 0.12/0.52 fof(f180,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f53,f67])).
% 0.12/0.52 fof(f316,plain,(
% 0.12/0.52 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)),
% 0.12/0.52 inference(resolution,[status(thm)],[f132,f63])).
% 0.12/0.52 fof(f687,plain,(
% 0.12/0.52 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)),
% 0.12/0.52 inference(resolution,[status(thm)],[f179,f316])).
% 0.12/0.52 fof(f707,definition,(
% 0.12/0.52 sQ11_spl <=> (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat))),
% 0.12/0.52 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.52 fof(f708,plain,(
% 0.12/0.52 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)|~sQ11_spl),
% 0.12/0.52 inference(component_clause,[status(thm)],[f707])).
% 0.12/0.52 fof(f710,definition,(
% 0.12/0.52 sQ12_spl <=> (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat))),
% 0.12/0.52 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.52 fof(f711,plain,(
% 0.12/0.52 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)|~sQ12_spl),
% 0.12/0.52 inference(component_clause,[status(thm)],[f710])).
% 0.12/0.52 fof(f713,plain,(
% 0.12/0.52 sQ11_spl|sQ12_spl),
% 0.12/0.52 inference(split_clause,[status(thm)],[f687,f707,f710])).
% 0.12/0.52 fof(f723,plain,(
% 0.12/0.52 ![X0]: (c_in(v_K,c_union(c_Message_OkeysFor(c_Message_Oparts(v_G)),X0,tc_nat),tc_nat)|~sQ11_spl)),
% 0.12/0.52 inference(resolution,[status(thm)],[f708,f37])).
% 0.12/0.52 fof(f734,plain,(
% 0.12/0.52 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_union(c_Message_Oparts(v_G),X0,tc_Message_Omsg)),tc_nat)|~sQ11_spl)),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f26,f723])).
% 0.12/0.52 fof(f761,plain,(
% 0.12/0.52 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,X0,tc_Message_Omsg))),tc_nat)|~sQ11_spl)),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f31,f734])).
% 0.12/0.52 fof(f791,plain,(
% 0.12/0.52 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)|~sQ12_spl),
% 0.12/0.52 inference(resolution,[status(thm)],[f711,f180])).
% 0.12/0.52 fof(f796,definition,(
% 0.12/0.52 sQ19_spl <=> (c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat))),
% 0.12/0.52 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.52 fof(f797,plain,(
% 0.12/0.52 c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)|~sQ19_spl),
% 0.12/0.52 inference(component_clause,[status(thm)],[f796])).
% 0.12/0.52 fof(f799,definition,(
% 0.12/0.52 sQ20_spl <=> (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat))),
% 0.12/0.52 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.52 fof(f800,plain,(
% 0.12/0.52 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|~sQ20_spl),
% 0.12/0.52 inference(component_clause,[status(thm)],[f799])).
% 0.12/0.52 fof(f802,plain,(
% 0.12/0.52 sQ19_spl|sQ20_spl|~sQ12_spl),
% 0.12/0.52 inference(split_clause,[status(thm)],[f791,f796,f799,f710])).
% 0.12/0.52 fof(f840,plain,(
% 0.12/0.52 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))|~sQ19_spl),
% 0.12/0.52 inference(resolution,[status(thm)],[f797,f21])).
% 0.12/0.52 fof(f841,plain,(
% 0.12/0.52 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)|~sQ19_spl),
% 0.12/0.52 inference(resolution,[status(thm)],[f797,f20])).
% 0.12/0.52 fof(f845,definition,(
% 0.12/0.52 sQ22_spl <=> (c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat))),
% 0.12/0.52 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.52 fof(f846,plain,(
% 0.12/0.52 c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)|~sQ22_spl),
% 0.12/0.52 inference(component_clause,[status(thm)],[f845])).
% 0.12/0.52 fof(f848,definition,(
% 0.12/0.52 sQ23_spl <=> (v_K=c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)))),
% 0.12/0.52 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.52 fof(f849,plain,(
% 0.12/0.52 v_K=c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))|~sQ23_spl),
% 0.12/0.52 inference(component_clause,[status(thm)],[f848])).
% 0.12/0.52 fof(f851,plain,(
% 0.12/0.52 sQ22_spl|sQ23_spl|~sQ19_spl),
% 0.12/0.52 inference(split_clause,[status(thm)],[f840,f845,f848,f796])).
% 0.12/0.52 fof(f852,definition,(
% 0.12/0.52 sQ24_spl <=> (c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg))),
% 0.12/0.52 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.52 fof(f853,plain,(
% 0.12/0.52 c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)|~sQ24_spl),
% 0.12/0.52 inference(component_clause,[status(thm)],[f852])).
% 0.12/0.52 fof(f855,plain,(
% 0.12/0.52 sQ22_spl|sQ24_spl|~sQ19_spl),
% 0.12/0.52 inference(split_clause,[status(thm)],[f841,f845,f852,f796])).
% 0.12/0.52 fof(f889,plain,(
% 0.12/0.52 ![X0]: (~c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),X0,tc_set(tc_nat))|c_in(v_K,X0,tc_nat)|~sQ22_spl)),
% 0.12/0.52 inference(resolution,[status(thm)],[f846,f33])).
% 0.12/0.52 fof(f893,plain,(
% 0.12/0.52 c_Message_OinvKey(v_K)=v_sko__uhi(c_Message_Oanalz(v_H),v_K)|~sQ23_spl),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f849,f24])).
% 0.12/0.52 fof(f1034,plain,(
% 0.12/0.52 ![X0]: (c_in(v_K,c_union(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),tc_nat)|~sQ20_spl)),
% 0.12/0.52 inference(resolution,[status(thm)],[f800,f39])).
% 0.12/0.52 fof(f1184,plain,(
% 0.12/0.52 $false|~sQ11_spl),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f42,f761])).
% 0.12/0.52 fof(f1192,plain,(
% 0.12/0.52 ~sQ11_spl),
% 0.12/0.52 inference(contradiction_clause,[status(thm)],[f1184])).
% 0.12/0.52 fof(f1307,plain,(
% 0.12/0.52 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_union(X0,c_Message_Oparts(v_H),tc_Message_Omsg)),tc_nat)|~sQ20_spl)),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f26,f1034])).
% 0.12/0.52 fof(f1442,plain,(
% 0.12/0.52 ![X0]: (c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_H,tc_Message_Omsg))),tc_nat)|~sQ20_spl)),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f31,f1307])).
% 0.12/0.52 fof(f1578,plain,(
% 0.12/0.52 $false|~sQ20_spl),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f42,f1442])).
% 0.12/0.52 fof(f1586,plain,(
% 0.12/0.52 ~sQ20_spl),
% 0.12/0.52 inference(contradiction_clause,[status(thm)],[f1578])).
% 0.12/0.52 fof(f1934,plain,(
% 0.12/0.52 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)|~sQ22_spl),
% 0.12/0.52 inference(resolution,[status(thm)],[f889,f50])).
% 0.12/0.52 fof(f1935,plain,(
% 0.12/0.52 sQ20_spl|~sQ22_spl),
% 0.12/0.52 inference(split_clause,[status(thm)],[f1934,f799,f845])).
% 0.12/0.52 fof(f2116,plain,(
% 0.12/0.52 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)|~sQ23_spl|~sQ24_spl),
% 0.12/0.52 inference(forward_demodulation,[status(thm)],[f893,f853])).
% 0.12/0.52 fof(f2117,plain,(
% 0.12/0.52 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg)|~sQ23_spl|~sQ24_spl),
% 0.12/0.52 inference(resolution,[status(thm)],[f2116,f22])).
% 0.12/0.52 fof(f2122,plain,(
% 0.12/0.52 $false|~sQ23_spl|~sQ24_spl),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2117,f43])).
% 0.12/0.52 fof(f2123,plain,(
% 0.12/0.52 ~sQ23_spl|~sQ24_spl),
% 0.12/0.52 inference(contradiction_clause,[status(thm)],[f2122])).
% 0.12/0.52 fof(f2124,plain,(
% 0.12/0.52 $false),
% 0.12/0.52 inference(sat_refutation,[status(thm)],[f713,f802,f851,f855,f1192,f1586,f1935,f2123])).
% 0.12/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.54 % Elapsed time: 0.175022 seconds
% 0.12/0.54 % CPU time: 1.056275 seconds
% 0.12/0.54 % Total memory used: 134.415 MB
% 0.12/0.54 % Net memory used: 133.678 MB
%------------------------------------------------------------------------------