%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV272-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.21s 0.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV272-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Mon Sep 21 08:38:18 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.21/0.48 % Drodi V4.1.1
% 0.21/0.64 % Refutation found
% 0.21/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.64 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.64 fof(f2640,axiom,(
% 0.21/0.64 (![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) ) ))),
% 0.21/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f2641,axiom,(
% 0.21/0.64 (![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) ) ))),
% 0.21/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f2642,axiom,(
% 0.21/0.64 (![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) ) ))),
% 0.21/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f2767,axiom,(
% 0.21/0.64 (![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) ) ))),
% 0.21/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f2773,axiom,(
% 0.21/0.64 (![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) ) ))),
% 0.21/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f2823,axiom,(
% 0.21/0.64 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.21/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f2827,negated_conjecture,(
% 0.21/0.64 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
% 0.21/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f2828,negated_conjecture,(
% 0.21/0.64 ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
% 0.21/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f6050,plain,(
% 0.21/0.64 ![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))),
% 0.21/0.64 inference(miniscoping,[status(thm)],[f2640])).
% 0.21/0.64 fof(f6051,plain,(
% 0.21/0.64 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f6050])).
% 0.21/0.64 fof(f6052,plain,(
% 0.21/0.64 ![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)))),
% 0.21/0.64 inference(miniscoping,[status(thm)],[f2641])).
% 0.21/0.64 fof(f6053,plain,(
% 0.21/0.64 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f6052])).
% 0.21/0.64 fof(f6054,plain,(
% 0.21/0.64 ![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)))),
% 0.21/0.64 inference(miniscoping,[status(thm)],[f2642])).
% 0.21/0.64 fof(f6055,plain,(
% 0.21/0.64 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f6054])).
% 0.21/0.64 fof(f6215,plain,(
% 0.21/0.64 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f2767])).
% 0.21/0.64 fof(f6221,plain,(
% 0.21/0.64 ![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))),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f2773])).
% 0.21/0.64 fof(f6279,plain,(
% 0.21/0.64 ![V_X,V_H]: ((![V_K]: ~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.21/0.64 inference(miniscoping,[status(thm)],[f2823])).
% 0.21/0.64 fof(f6280,plain,(
% 0.21/0.64 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f6279])).
% 0.21/0.64 fof(f6284,plain,(
% 0.21/0.64 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f2827])).
% 0.21/0.64 fof(f6285,plain,(
% 0.21/0.64 ~c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f2828])).
% 0.21/0.64 fof(f6686,plain,(
% 0.21/0.64 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)),
% 0.21/0.66 inference(resolution,[status(thm)],[f6051,f6284])).
% 0.21/0.66 fof(f6714,definition,(
% 0.21/0.66 sQ11_spl <=> (c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg))),
% 0.21/0.66 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.21/0.66 fof(f6715,plain,(
% 0.21/0.66 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)|~sQ11_spl),
% 0.21/0.66 inference(component_clause,[status(thm)],[f6714])).
% 0.21/0.66 fof(f6717,definition,(
% 0.21/0.66 sQ12_spl <=> (c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg))),
% 0.21/0.66 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.21/0.66 fof(f6718,plain,(
% 0.21/0.66 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)|~sQ12_spl),
% 0.21/0.66 inference(component_clause,[status(thm)],[f6717])).
% 0.21/0.66 fof(f6720,plain,(
% 0.21/0.66 sQ11_spl|sQ12_spl),
% 0.21/0.66 inference(split_clause,[status(thm)],[f6686,f6714,f6717])).
% 0.21/0.66 fof(f7038,plain,(
% 0.21/0.66 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)|~sQ11_spl),
% 0.21/0.66 inference(resolution,[status(thm)],[f6221,f6715])).
% 0.21/0.66 fof(f7072,definition,(
% 0.21/0.66 sQ28_spl <=> (c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg))),
% 0.21/0.66 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.21/0.66 fof(f7073,plain,(
% 0.21/0.66 c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)|~sQ28_spl),
% 0.21/0.66 inference(component_clause,[status(thm)],[f7072])).
% 0.21/0.66 fof(f7075,definition,(
% 0.21/0.66 sQ29_spl <=> (c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg))),
% 0.21/0.66 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.21/0.66 fof(f7076,plain,(
% 0.21/0.66 c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)|~sQ29_spl),
% 0.21/0.66 inference(component_clause,[status(thm)],[f7075])).
% 0.21/0.66 fof(f7078,plain,(
% 0.21/0.66 sQ28_spl|sQ29_spl|~sQ11_spl),
% 0.21/0.66 inference(split_clause,[status(thm)],[f7038,f7072,f7075,f6714])).
% 0.21/0.66 fof(f7674,plain,(
% 0.21/0.66 c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)|~sQ12_spl),
% 0.21/0.66 inference(resolution,[status(thm)],[f6280,f6718])).
% 0.21/0.66 fof(f7924,plain,(
% 0.21/0.66 ![X0]: (c_in(v_X,c_union(c_Message_Oparts(v_H),X0,tc_Message_Omsg),tc_Message_Omsg)|~sQ12_spl)),
% 0.21/0.66 inference(resolution,[status(thm)],[f7674,f6053])).
% 0.21/0.66 fof(f8052,plain,(
% 0.21/0.66 ![X0]: (c_in(v_X,c_union(X0,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)|~sQ28_spl)),
% 0.21/0.66 inference(resolution,[status(thm)],[f7073,f6055])).
% 0.21/0.66 fof(f8703,plain,(
% 0.21/0.66 $false|~sQ28_spl),
% 0.21/0.66 inference(backward_subsumption_resolution,[status(thm)],[f6285,f8052])).
% 0.21/0.66 fof(f8716,plain,(
% 0.21/0.66 ~sQ28_spl),
% 0.21/0.66 inference(contradiction_clause,[status(thm)],[f8703])).
% 0.21/0.66 fof(f8719,plain,(
% 0.21/0.66 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)|~sQ29_spl),
% 0.21/0.66 inference(resolution,[status(thm)],[f7076,f6215])).
% 0.21/0.66 fof(f8883,plain,(
% 0.21/0.66 sQ12_spl|~sQ29_spl),
% 0.21/0.66 inference(split_clause,[status(thm)],[f8719,f6717,f7075])).
% 0.21/0.66 fof(f9003,plain,(
% 0.21/0.66 $false|~sQ12_spl),
% 0.21/0.66 inference(backward_subsumption_resolution,[status(thm)],[f6285,f7924])).
% 0.21/0.66 fof(f9017,plain,(
% 0.21/0.66 ~sQ12_spl),
% 0.21/0.66 inference(contradiction_clause,[status(thm)],[f9003])).
% 0.21/0.66 fof(f9018,plain,(
% 0.21/0.66 $false),
% 0.21/0.66 inference(sat_refutation,[status(thm)],[f6720,f7078,f8716,f8883,f9017])).
% 0.21/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 0.32/0.68 % Elapsed time: 0.310459 seconds
% 0.32/0.68 % CPU time: 1.413939 seconds
% 0.32/0.68 % Total memory used: 240.821 MB
% 0.32/0.68 % Net memory used: 239.700 MB
%------------------------------------------------------------------------------