%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV245-2 : 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 : n018.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 02:50:18 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV245-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:37:44 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f1,negated_conjecture,(
% 0.09/0.38 c_in(c_Message_Omsg_OMPair(v_X,v_Y),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) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f2,negated_conjecture,(
% 0.09/0.38 ~ 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) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,axiom,(
% 0.09/0.38 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f4,axiom,(
% 0.09/0.38 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),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_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f5,axiom,(
% 0.09/0.38 (![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) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f6,axiom,(
% 0.09/0.38 (![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) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f7,axiom,(
% 0.09/0.38 (![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) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f8,axiom,(
% 0.09/0.38 (![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) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f9,plain,(
% 0.09/0.38 c_in(c_Message_Omsg_OMPair(v_X,v_Y),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)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.38 fof(f10,plain,(
% 0.09/0.38 ~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)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f11,plain,(
% 0.09/0.38 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.38 fof(f12,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.38 fof(f13,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.38 fof(f14,plain,(
% 0.09/0.38 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.38 fof(f15,plain,(
% 0.09/0.38 ![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)))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.38 fof(f16,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.38 fof(f17,plain,(
% 0.09/0.38 ![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)))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.38 fof(f18,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.38 fof(f19,plain,(
% 0.09/0.38 ![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))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.38 fof(f20,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.38 fof(f21,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.09/0.38 inference(resolution,[status(thm)],[f14,f12])).
% 0.09/0.38 fof(f22,plain,(
% 0.09/0.38 ~c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)),
% 0.09/0.38 inference(resolution,[status(thm)],[f16,f10])).
% 0.09/0.38 fof(f23,plain,(
% 0.09/0.38 ~c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.09/0.38 inference(resolution,[status(thm)],[f18,f10])).
% 0.09/0.38 fof(f25,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (c_in(X0,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg))),
% 0.09/0.38 inference(resolution,[status(thm)],[f21,f18])).
% 0.09/0.38 fof(f41,plain,(
% 0.09/0.38 ![X0]: (~c_in(c_Message_Omsg_OMPair(v_X,X0),v_G,tc_Message_Omsg))),
% 0.09/0.38 inference(resolution,[status(thm)],[f25,f23])).
% 0.09/0.38 fof(f46,plain,(
% 0.09/0.38 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.09/0.38 inference(resolution,[status(thm)],[f20,f9])).
% 0.09/0.38 fof(f49,definition,(
% 0.09/0.38 sQ0_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f50,plain,(
% 0.09/0.38 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ0_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.09/0.38 fof(f52,definition,(
% 0.09/0.38 sQ1_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f53,plain,(
% 0.09/0.38 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ1_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f52])).
% 0.09/0.38 fof(f55,plain,(
% 0.09/0.38 sQ0_spl|sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f46,f49,f52])).
% 0.09/0.38 fof(f56,plain,(
% 0.09/0.38 c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)|~sQ0_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f50,f13])).
% 0.09/0.38 fof(f59,definition,(
% 0.09/0.38 sQ2_spl <=> (c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f60,plain,(
% 0.09/0.38 c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ2_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f59])).
% 0.09/0.38 fof(f62,definition,(
% 0.09/0.38 sQ3_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f63,plain,(
% 0.09/0.38 c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)|~sQ3_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f62])).
% 0.09/0.38 fof(f65,plain,(
% 0.09/0.38 sQ2_spl|sQ3_spl|~sQ0_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f56,f59,f62,f49])).
% 0.09/0.38 fof(f66,plain,(
% 0.09/0.38 $false|~sQ3_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f63,f41])).
% 0.09/0.38 fof(f67,plain,(
% 0.09/0.38 ~sQ3_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f66])).
% 0.09/0.38 fof(f68,plain,(
% 0.09/0.38 $false|~sQ2_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f60,f22])).
% 0.09/0.38 fof(f69,plain,(
% 0.09/0.38 ~sQ2_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f68])).
% 0.09/0.38 fof(f70,plain,(
% 0.09/0.38 c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ1_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f53,f12])).
% 0.09/0.38 fof(f73,plain,(
% 0.09/0.38 $false|~sQ1_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f70,f23])).
% 0.09/0.38 fof(f74,plain,(
% 0.09/0.38 ~sQ1_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f73])).
% 0.09/0.38 fof(f75,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(sat_refutation,[status(thm)],[f55,f65,f67,f69,f74])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.042289 seconds
% 0.13/0.41 % CPU time: 0.116129 seconds
% 0.13/0.41 % Total memory used: 17.157 MB
% 0.13/0.41 % Net memory used: 16.702 MB
%------------------------------------------------------------------------------