%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV245-1 : 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 : n016.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 0.13s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV245-1 : 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 : n016.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 08:40:38 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.13/0.45 % Refutation found
% 0.13/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.45 fof(f1326,axiom,(
% 0.13/0.45 (![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) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f1327,axiom,(
% 0.13/0.45 (![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) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f1328,axiom,(
% 0.13/0.45 (![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) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f1363,axiom,(
% 0.13/0.45 (![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) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f1367,axiom,(
% 0.13/0.45 (![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) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f1377,axiom,(
% 0.13/0.45 (![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) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f1402,negated_conjecture,(
% 0.13/0.45 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) ),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f1403,negated_conjecture,(
% 0.13/0.45 ~ 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) ),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f2831,plain,(
% 0.13/0.45 ![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)))),
% 0.13/0.45 inference(miniscoping,[status(thm)],[f1326])).
% 0.13/0.45 fof(f2832,plain,(
% 0.13/0.45 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f2831])).
% 0.13/0.45 fof(f2833,plain,(
% 0.13/0.45 ![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)))),
% 0.13/0.45 inference(miniscoping,[status(thm)],[f1327])).
% 0.13/0.45 fof(f2834,plain,(
% 0.13/0.45 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f2833])).
% 0.13/0.45 fof(f2835,plain,(
% 0.13/0.45 ![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))),
% 0.13/0.45 inference(miniscoping,[status(thm)],[f1328])).
% 0.13/0.45 fof(f2836,plain,(
% 0.13/0.45 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f2835])).
% 0.13/0.45 fof(f2886,plain,(
% 0.13/0.45 ![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))),
% 0.13/0.45 inference(miniscoping,[status(thm)],[f1363])).
% 0.13/0.45 fof(f2887,plain,(
% 0.13/0.45 ![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))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f2886])).
% 0.13/0.45 fof(f2893,plain,(
% 0.13/0.45 ![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))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f1367])).
% 0.13/0.45 fof(f2904,plain,(
% 0.13/0.45 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f1377])).
% 0.13/0.45 fof(f2934,plain,(
% 0.13/0.45 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)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f1402])).
% 0.13/0.45 fof(f2935,plain,(
% 0.13/0.45 ~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)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f1403])).
% 0.13/0.45 fof(f2948,plain,(
% 0.13/0.45 ~c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)),
% 0.13/0.46 inference(resolution,[status(thm)],[f2832,f2935])).
% 0.13/0.46 fof(f2953,plain,(
% 0.13/0.46 ~c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.13/0.46 inference(resolution,[status(thm)],[f2834,f2935])).
% 0.13/0.46 fof(f2955,plain,(
% 0.13/0.46 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)),
% 0.13/0.46 inference(resolution,[status(thm)],[f2836,f2934])).
% 0.13/0.46 fof(f2959,definition,(
% 0.13/0.46 sQ1_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f2960,plain,(
% 0.13/0.46 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ1_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f2959])).
% 0.13/0.46 fof(f2962,definition,(
% 0.13/0.46 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))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f2963,plain,(
% 0.13/0.46 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),
% 0.13/0.46 inference(component_clause,[status(thm)],[f2962])).
% 0.13/0.46 fof(f2964,plain,(
% 0.13/0.46 ~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),
% 0.13/0.46 inference(component_clause,[status(thm)],[f2962])).
% 0.13/0.46 fof(f2965,plain,(
% 0.13/0.46 sQ1_spl|sQ2_spl),
% 0.13/0.46 inference(split_clause,[status(thm)],[f2955,f2959,f2962])).
% 0.13/0.46 fof(f3004,definition,(
% 0.13/0.46 sQ4_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f3005,plain,(
% 0.13/0.46 c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)|~sQ4_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f3004])).
% 0.13/0.46 fof(f3012,plain,(
% 0.13/0.46 c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)|~sQ2_spl),
% 0.13/0.46 inference(resolution,[status(thm)],[f2963,f2887])).
% 0.13/0.46 fof(f3017,plain,(
% 0.13/0.46 $false|~sQ2_spl),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3012,f2953])).
% 0.13/0.46 fof(f3018,plain,(
% 0.13/0.46 ~sQ2_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f3017])).
% 0.13/0.46 fof(f3019,plain,(
% 0.13/0.46 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)|~sQ1_spl),
% 0.13/0.46 inference(resolution,[status(thm)],[f2960,f2893])).
% 0.13/0.46 fof(f3024,definition,(
% 0.13/0.46 sQ5_spl <=> (c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f3025,plain,(
% 0.13/0.46 c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)|~sQ5_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f3024])).
% 0.13/0.46 fof(f3027,plain,(
% 0.13/0.46 sQ5_spl|sQ4_spl|~sQ1_spl),
% 0.13/0.46 inference(split_clause,[status(thm)],[f3019,f3024,f3004,f2959])).
% 0.13/0.46 fof(f3038,plain,(
% 0.13/0.46 ~c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)|sQ2_spl),
% 0.13/0.46 inference(resolution,[status(thm)],[f2964,f2904])).
% 0.13/0.46 fof(f3039,plain,(
% 0.13/0.46 ~c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)|sQ2_spl),
% 0.13/0.46 inference(resolution,[status(thm)],[f3038,f2834])).
% 0.13/0.46 fof(f3041,plain,(
% 0.13/0.46 $false|~sQ4_spl|sQ2_spl),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3039,f3005])).
% 0.13/0.46 fof(f3042,plain,(
% 0.13/0.46 ~sQ4_spl|sQ2_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f3041])).
% 0.13/0.46 fof(f3043,plain,(
% 0.13/0.46 $false|~sQ5_spl),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3025,f2948])).
% 0.13/0.46 fof(f3044,plain,(
% 0.13/0.46 ~sQ5_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f3043])).
% 0.13/0.46 fof(f3045,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(sat_refutation,[status(thm)],[f2965,f3018,f3027,f3042,f3044])).
% 0.13/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.49 % Elapsed time: 0.122692 seconds
% 0.13/0.49 % CPU time: 0.425105 seconds
% 0.13/0.49 % Total memory used: 146.821 MB
% 0.13/0.49 % Net memory used: 146.478 MB
%------------------------------------------------------------------------------