%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV246-1 : 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 : n008.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 0.12s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV246-1 : 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 : n008.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 08:36:24 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.12/0.46 % Refutation found
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.46 fof(f1326,axiom,(
% 0.12/0.46 (![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) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f1327,axiom,(
% 0.12/0.46 (![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) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f1328,axiom,(
% 0.12/0.46 (![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) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f1362,axiom,(
% 0.12/0.46 (![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_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f1366,axiom,(
% 0.12/0.46 (![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_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f1377,axiom,(
% 0.12/0.46 (![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) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f1402,negated_conjecture,(
% 0.12/0.46 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) ),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f1403,negated_conjecture,(
% 0.12/0.46 ~ c_in(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) ),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f2831,plain,(
% 0.12/0.46 ![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)))),
% 0.12/0.46 inference(miniscoping,[status(thm)],[f1326])).
% 0.12/0.46 fof(f2832,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f2831])).
% 0.12/0.46 fof(f2833,plain,(
% 0.12/0.46 ![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)))),
% 0.12/0.46 inference(miniscoping,[status(thm)],[f1327])).
% 0.12/0.46 fof(f2834,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f2833])).
% 0.12/0.46 fof(f2835,plain,(
% 0.12/0.46 ![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))),
% 0.12/0.46 inference(miniscoping,[status(thm)],[f1328])).
% 0.12/0.46 fof(f2836,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f2835])).
% 0.12/0.46 fof(f2884,plain,(
% 0.12/0.46 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.12/0.46 inference(miniscoping,[status(thm)],[f1362])).
% 0.12/0.46 fof(f2885,plain,(
% 0.12/0.46 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f2884])).
% 0.12/0.46 fof(f2892,plain,(
% 0.12/0.46 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f1366])).
% 0.12/0.46 fof(f2904,plain,(
% 0.12/0.46 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f1377])).
% 0.12/0.46 fof(f2934,plain,(
% 0.12/0.46 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)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f1402])).
% 0.12/0.46 fof(f2935,plain,(
% 0.12/0.46 ~c_in(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)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f1403])).
% 0.12/0.46 fof(f2948,plain,(
% 0.12/0.46 ~c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)),
% 0.12/0.48 inference(resolution,[status(thm)],[f2832,f2935])).
% 0.12/0.48 fof(f2953,plain,(
% 0.12/0.48 ~c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.12/0.48 inference(resolution,[status(thm)],[f2834,f2935])).
% 0.12/0.48 fof(f2955,plain,(
% 0.12/0.48 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)),
% 0.12/0.48 inference(resolution,[status(thm)],[f2836,f2934])).
% 0.12/0.48 fof(f2959,definition,(
% 0.12/0.48 sQ1_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f2960,plain,(
% 0.12/0.48 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ1_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f2959])).
% 0.12/0.48 fof(f2962,definition,(
% 0.12/0.48 sQ2_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))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f2963,plain,(
% 0.12/0.48 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)|~sQ2_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f2962])).
% 0.12/0.48 fof(f2964,plain,(
% 0.12/0.48 ~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)|sQ2_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f2962])).
% 0.12/0.48 fof(f2965,plain,(
% 0.12/0.48 sQ1_spl|sQ2_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f2955,f2959,f2962])).
% 0.12/0.48 fof(f2999,plain,(
% 0.12/0.48 c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)|~sQ1_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f2892,f2960])).
% 0.12/0.48 fof(f3001,definition,(
% 0.12/0.48 sQ3_spl <=> (c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f3002,plain,(
% 0.12/0.48 c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ3_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f3001])).
% 0.12/0.48 fof(f3004,definition,(
% 0.12/0.48 sQ4_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f3005,plain,(
% 0.12/0.48 c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)|~sQ4_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f3004])).
% 0.12/0.48 fof(f3007,plain,(
% 0.12/0.48 sQ3_spl|sQ4_spl|~sQ1_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f2999,f3001,f3004,f2959])).
% 0.12/0.48 fof(f3013,plain,(
% 0.12/0.48 c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ2_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f2963,f2885])).
% 0.12/0.48 fof(f3017,plain,(
% 0.12/0.48 $false|~sQ2_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f3013,f2953])).
% 0.12/0.48 fof(f3018,plain,(
% 0.12/0.48 ~sQ2_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f3017])).
% 0.12/0.48 fof(f3019,plain,(
% 0.12/0.48 $false|~sQ3_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f3002,f2948])).
% 0.12/0.48 fof(f3020,plain,(
% 0.12/0.48 ~sQ3_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f3019])).
% 0.12/0.48 fof(f3040,plain,(
% 0.12/0.48 ~c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)|sQ2_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f2964,f2904])).
% 0.12/0.48 fof(f3041,plain,(
% 0.12/0.48 ~c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)|sQ2_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f3040,f2834])).
% 0.12/0.48 fof(f3043,plain,(
% 0.12/0.48 $false|~sQ4_spl|sQ2_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f3041,f3005])).
% 0.12/0.48 fof(f3044,plain,(
% 0.12/0.48 ~sQ4_spl|sQ2_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f3043])).
% 0.12/0.48 fof(f3045,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(sat_refutation,[status(thm)],[f2965,f3007,f3018,f3020,f3044])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.50 % Elapsed time: 0.143159 seconds
% 0.20/0.50 % CPU time: 0.505916 seconds
% 0.20/0.50 % Total memory used: 158.717 MB
% 0.20/0.50 % Net memory used: 158.237 MB
%------------------------------------------------------------------------------