%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV250-2 : 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 : 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 02:50:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV250-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n018.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 08:38:14 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.14/0.60 % Refutation found
% 0.14/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.60 fof(f1,negated_conjecture,(
% 0.14/0.60 c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f2,negated_conjecture,(
% 0.14/0.60 ~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f3,axiom,(
% 0.14/0.60 (![V_G,V_H]: (c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)) ))),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f4,axiom,(
% 0.14/0.60 (![V_G,V_H]: (c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ))),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f5,axiom,(
% 0.14/0.60 (![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) ) ))),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f6,axiom,(
% 0.14/0.60 (![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) ) ))),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f7,axiom,(
% 0.14/0.60 (![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) ) ))),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f8,plain,(
% 0.14/0.60 c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.60 fof(f9,plain,(
% 0.14/0.60 ~c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.60 fof(f10,plain,(
% 0.14/0.60 ![X0,X1]: (c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg))=c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.60 fof(f11,plain,(
% 0.14/0.60 ![X0,X1]: (c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg))=c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.60 fof(f12,plain,(
% 0.14/0.60 ![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))),
% 0.14/0.60 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.60 fof(f13,plain,(
% 0.14/0.60 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.60 fof(f14,plain,(
% 0.14/0.60 ![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)))),
% 0.14/0.60 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.60 fof(f15,plain,(
% 0.14/0.60 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.60 fof(f16,plain,(
% 0.14/0.60 ![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)))),
% 0.14/0.60 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.60 fof(f17,plain,(
% 0.14/0.60 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.60 fof(f20,plain,(
% 0.14/0.60 ~c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),
% 0.14/0.60 inference(resolution,[status(thm)],[f15,f9])).
% 0.14/0.60 fof(f26,plain,(
% 0.14/0.60 ![X0,X1,X2]: (~c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f11,f13])).
% 0.14/0.60 fof(f106,plain,(
% 0.14/0.60 c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)|c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.14/0.60 inference(resolution,[status(thm)],[f26,f8])).
% 0.14/0.60 fof(f108,plain,(
% 0.14/0.60 c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)|c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.14/0.61 inference(forward_demodulation,[status(thm)],[f10,f106])).
% 0.14/0.61 fof(f109,plain,(
% 0.14/0.61 c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.14/0.61 inference(forward_subsumption_resolution,[status(thm)],[f108,f20])).
% 0.14/0.61 fof(f132,plain,(
% 0.14/0.61 ![X0]: (c_in(v_x,c_union(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg))),
% 0.14/0.61 inference(resolution,[status(thm)],[f109,f17])).
% 0.14/0.61 fof(f144,plain,(
% 0.14/0.61 $false),
% 0.14/0.61 inference(backward_subsumption_resolution,[status(thm)],[f9,f132])).
% 0.14/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.63 % Elapsed time: 0.059403 seconds
% 0.14/0.63 % CPU time: 0.167184 seconds
% 0.14/0.63 % Total memory used: 101.842 MB
% 0.14/0.63 % Net memory used: 101.371 MB
%------------------------------------------------------------------------------