%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV247-2 : 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 : n019.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 02:50:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV247-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:36:20 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![V_K,V_H]: (( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (![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) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (![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) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,axiom,(
% 0.14/0.38 (![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) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,negated_conjecture,(
% 0.14/0.38 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,negated_conjecture,(
% 0.14/0.38 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f10,negated_conjecture,(
% 0.14/0.38 ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![V_X,V_H]: ((![V_K]: (~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)))|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0,X1]: (~c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![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)))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 ![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)))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![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))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.38 fof(f21,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.38 fof(f23,plain,(
% 0.14/0.38 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 ~c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.38 fof(f25,plain,(
% 0.14/0.38 ~c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)),
% 0.14/0.38 inference(resolution,[status(thm)],[f17,f24])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 ~c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.14/0.38 inference(resolution,[status(thm)],[f19,f24])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),X2,tc_Message_Omsg))),
% 0.14/0.38 inference(resolution,[status(thm)],[f13,f15])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.14/0.38 inference(resolution,[status(thm)],[f21,f23])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.14/0.38 inference(resolution,[status(thm)],[f21,f22])).
% 0.14/0.38 fof(f35,definition,(
% 0.14/0.38 sQ0_spl <=> (c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ0_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f35])).
% 0.14/0.38 fof(f38,definition,(
% 0.14/0.38 sQ1_spl <=> (c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ1_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f38])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 sQ0_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f31,f35,f38])).
% 0.14/0.38 fof(f42,definition,(
% 0.14/0.39 sQ2_spl <=> (c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f42])).
% 0.14/0.39 fof(f45,definition,(
% 0.14/0.39 sQ3_spl <=> (c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f45])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 ~c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f45])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 sQ2_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f32,f42,f45])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)|~sQ2_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f43,f11])).
% 0.14/0.39 fof(f50,definition,(
% 0.14/0.39 sQ4_spl <=> (c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f50])).
% 0.14/0.39 fof(f53,definition,(
% 0.14/0.39 sQ5_spl <=> (c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)|~sQ5_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f53])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 sQ4_spl|sQ5_spl|~sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f49,f50,f53,f42])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)|~sQ0_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f36,f14])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)|~sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f30,f46])).
% 0.14/0.39 fof(f59,plain,(
% 0.14/0.39 ![X0,X1,X2]: (c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X2)),X1,tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))),
% 0.14/0.39 inference(resolution,[status(thm)],[f30,f15])).
% 0.14/0.39 fof(f60,definition,(
% 0.14/0.39 sQ6_spl <=> (c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f60])).
% 0.14/0.39 fof(f63,definition,(
% 0.14/0.39 sQ7_spl <=> (c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 ~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)|sQ7_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 sQ6_spl|~sQ7_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f58,f60,f63,f45])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 $false|~sQ4_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f51,f25])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ~sQ4_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f67])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 c_in(v_X,c_Message_Oanalz(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)),
% 0.14/0.39 inference(resolution,[status(thm)],[f59,f22])).
% 0.14/0.39 fof(f80,definition,(
% 0.14/0.39 sQ9_spl <=> (c_in(v_X,c_Message_Oanalz(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg)),tc_Message_Omsg))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f83,definition,(
% 0.14/0.39 sQ10_spl <=> (c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f85,plain,(
% 0.14/0.39 ~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)|sQ10_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.39 fof(f86,plain,(
% 0.14/0.39 sQ9_spl|~sQ10_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f72,f80,f83])).
% 0.14/0.39 fof(f87,plain,(
% 0.14/0.39 $false|sQ10_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f85,f23])).
% 0.14/0.39 fof(f88,plain,(
% 0.14/0.39 sQ10_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f87])).
% 0.14/0.39 fof(f89,plain,(
% 0.14/0.39 ![X0]: (~c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ1_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f39,f13])).
% 0.14/0.39 fof(f98,plain,(
% 0.14/0.39 $false|~sQ6_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f61,f26])).
% 0.14/0.39 fof(f99,plain,(
% 0.14/0.39 ~sQ6_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f98])).
% 0.14/0.39 fof(f109,plain,(
% 0.14/0.39 ~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)|sQ7_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f65,f19])).
% 0.14/0.39 fof(f112,plain,(
% 0.14/0.39 c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f89,f46])).
% 0.14/0.39 fof(f114,plain,(
% 0.14/0.39 sQ6_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f112,f60,f38,f45])).
% 0.14/0.39 fof(f115,plain,(
% 0.14/0.39 $false|sQ7_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f57,f109])).
% 0.14/0.39 fof(f116,plain,(
% 0.14/0.39 sQ7_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f115])).
% 0.14/0.39 fof(f123,plain,(
% 0.14/0.39 ~c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)|sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f47,f15])).
% 0.14/0.39 fof(f124,plain,(
% 0.14/0.39 ~c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)|sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f123,f19])).
% 0.14/0.39 fof(f126,plain,(
% 0.14/0.39 $false|~sQ5_spl|sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f124,f54])).
% 0.14/0.39 fof(f127,plain,(
% 0.14/0.39 ~sQ5_spl|sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f126])).
% 0.14/0.39 fof(f128,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f41,f48,f56,f66,f68,f86,f88,f99,f114,f116,f127])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.038299 seconds
% 0.14/0.41 % CPU time: 0.116252 seconds
% 0.14/0.41 % Total memory used: 17.704 MB
% 0.14/0.41 % Net memory used: 17.292 MB
%------------------------------------------------------------------------------