%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV271-1 : 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 : n004.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 02:50:23 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV271-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 08:37:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.23/0.49 % Drodi V4.1.1
% 0.23/0.67 % Refutation found
% 0.23/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.67 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.67 fof(f2640,axiom,(
% 0.23/0.67 (![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) ) ))),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f2641,axiom,(
% 0.23/0.67 (![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) ) ))),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f2642,axiom,(
% 0.23/0.67 (![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) ) ))),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f2728,axiom,(
% 0.23/0.67 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f2767,axiom,(
% 0.23/0.67 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f2781,axiom,(
% 0.23/0.67 (![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) ) ))),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f2827,negated_conjecture,(
% 0.23/0.67 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f2828,negated_conjecture,(
% 0.23/0.67 ~ c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f6050,plain,(
% 0.23/0.67 ![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))),
% 0.23/0.67 inference(miniscoping,[status(thm)],[f2640])).
% 0.23/0.67 fof(f6051,plain,(
% 0.23/0.67 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f6050])).
% 0.23/0.67 fof(f6052,plain,(
% 0.23/0.67 ![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)))),
% 0.23/0.67 inference(miniscoping,[status(thm)],[f2641])).
% 0.23/0.67 fof(f6053,plain,(
% 0.23/0.67 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f6052])).
% 0.23/0.67 fof(f6054,plain,(
% 0.23/0.67 ![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)))),
% 0.23/0.67 inference(miniscoping,[status(thm)],[f2642])).
% 0.23/0.67 fof(f6055,plain,(
% 0.23/0.67 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f6054])).
% 0.23/0.67 fof(f6170,plain,(
% 0.23/0.67 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.23/0.67 inference(miniscoping,[status(thm)],[f2728])).
% 0.23/0.67 fof(f6171,plain,(
% 0.23/0.67 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f6170])).
% 0.23/0.67 fof(f6215,plain,(
% 0.23/0.67 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f2767])).
% 0.23/0.67 fof(f6233,plain,(
% 0.23/0.67 ![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))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f2781])).
% 0.23/0.67 fof(f6284,plain,(
% 0.23/0.67 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f2827])).
% 0.23/0.67 fof(f6285,plain,(
% 0.23/0.67 ~c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f2828])).
% 0.23/0.67 fof(f6686,plain,(
% 0.23/0.67 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)),
% 1.12/0.69 inference(resolution,[status(thm)],[f6051,f6284])).
% 1.12/0.69 fof(f6714,definition,(
% 1.12/0.69 sQ11_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg))),
% 1.12/0.69 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 1.12/0.69 fof(f6715,plain,(
% 1.12/0.69 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)|~sQ11_spl),
% 1.12/0.69 inference(component_clause,[status(thm)],[f6714])).
% 1.12/0.69 fof(f6717,definition,(
% 1.12/0.69 sQ12_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg))),
% 1.12/0.69 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 1.12/0.69 fof(f6718,plain,(
% 1.12/0.69 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)|~sQ12_spl),
% 1.12/0.69 inference(component_clause,[status(thm)],[f6717])).
% 1.12/0.69 fof(f6720,plain,(
% 1.12/0.69 sQ11_spl|sQ12_spl),
% 1.12/0.69 inference(split_clause,[status(thm)],[f6686,f6714,f6717])).
% 1.12/0.69 fof(f7200,plain,(
% 1.12/0.69 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)|~sQ11_spl),
% 1.12/0.69 inference(resolution,[status(thm)],[f6233,f6715])).
% 1.12/0.69 fof(f7228,definition,(
% 1.12/0.69 sQ25_spl <=> (c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg))),
% 1.12/0.69 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 1.12/0.69 fof(f7229,plain,(
% 1.12/0.69 c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)|~sQ25_spl),
% 1.12/0.69 inference(component_clause,[status(thm)],[f7228])).
% 1.12/0.69 fof(f7231,definition,(
% 1.12/0.69 sQ26_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg))),
% 1.12/0.69 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 1.12/0.69 fof(f7232,plain,(
% 1.12/0.69 c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)|~sQ26_spl),
% 1.12/0.69 inference(component_clause,[status(thm)],[f7231])).
% 1.12/0.69 fof(f7234,plain,(
% 1.12/0.69 sQ25_spl|sQ26_spl|~sQ11_spl),
% 1.12/0.69 inference(split_clause,[status(thm)],[f7200,f7228,f7231,f6714])).
% 1.12/0.69 fof(f7273,plain,(
% 1.12/0.69 c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg)|~sQ12_spl),
% 1.12/0.69 inference(resolution,[status(thm)],[f6718,f6171])).
% 1.12/0.69 fof(f7287,plain,(
% 1.12/0.69 ![X0]: (c_in(v_Y,c_union(c_Message_Oparts(v_H),X0,tc_Message_Omsg),tc_Message_Omsg)|~sQ12_spl)),
% 1.12/0.69 inference(resolution,[status(thm)],[f7273,f6053])).
% 1.12/0.69 fof(f7987,plain,(
% 1.12/0.69 ![X0]: (c_in(v_Y,c_union(X0,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)|~sQ25_spl)),
% 1.12/0.69 inference(resolution,[status(thm)],[f7229,f6055])).
% 1.12/0.69 fof(f8109,plain,(
% 1.12/0.69 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)|~sQ26_spl),
% 1.12/0.69 inference(resolution,[status(thm)],[f7232,f6215])).
% 1.12/0.69 fof(f8605,plain,(
% 1.12/0.69 sQ12_spl|~sQ26_spl),
% 1.12/0.69 inference(split_clause,[status(thm)],[f8109,f6717,f7231])).
% 1.12/0.69 fof(f9345,plain,(
% 1.12/0.69 $false|~sQ12_spl),
% 1.12/0.69 inference(backward_subsumption_resolution,[status(thm)],[f6285,f7287])).
% 1.12/0.69 fof(f9359,plain,(
% 1.12/0.69 ~sQ12_spl),
% 1.12/0.69 inference(contradiction_clause,[status(thm)],[f9345])).
% 1.12/0.69 fof(f9500,plain,(
% 1.12/0.69 $false|~sQ25_spl),
% 1.12/0.69 inference(backward_subsumption_resolution,[status(thm)],[f6285,f7987])).
% 1.12/0.69 fof(f9511,plain,(
% 1.12/0.69 ~sQ25_spl),
% 1.12/0.69 inference(contradiction_clause,[status(thm)],[f9500])).
% 1.12/0.69 fof(f9512,plain,(
% 1.12/0.69 $false),
% 1.12/0.69 inference(sat_refutation,[status(thm)],[f6720,f7234,f8605,f9359,f9511])).
% 1.12/0.69 % SZS output end CNFRefutation for theBenchmark.p
% 1.12/0.71 % Elapsed time: 0.329423 seconds
% 1.12/0.71 % CPU time: 1.520320 seconds
% 1.12/0.71 % Total memory used: 237.062 MB
% 1.12/0.71 % Net memory used: 236.063 MB
%------------------------------------------------------------------------------