%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV239-2 : 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 : n001.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 02:50:17 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV239-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 08:40:59 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.09/0.36 % Refutation found
% 0.09/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.36 fof(f1,negated_conjecture,(
% 0.09/0.36 ~ c_lessequals(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)),tc_set(tc_Message_Omsg)) ),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f2,axiom,(
% 0.09/0.36 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f3,axiom,(
% 0.09/0.36 (![V_H,V_H_H,V_G,V_G_H]: (( ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_set(tc_Message_Omsg))| ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_set(tc_Message_Omsg))| c_lessequals(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(V_G_H,V_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ))),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f4,axiom,(
% 0.09/0.36 (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f5,axiom,(
% 0.09/0.36 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f6,axiom,(
% 0.09/0.36 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f7,plain,(
% 0.09/0.36 ~c_lessequals(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)),tc_set(tc_Message_Omsg))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.36 fof(f8,plain,(
% 0.09/0.36 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.36 fof(f9,plain,(
% 0.09/0.36 ![X0,X1,X2,X3]: (~c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))|~c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.36 fof(f10,plain,(
% 0.09/0.36 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.36 fof(f11,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.36 fof(f12,plain,(
% 0.09/0.36 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.36 fof(f13,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(c_union(X0,X2,tc_Message_Omsg)),c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.09/0.36 inference(resolution,[status(thm)],[f12,f9])).
% 0.09/0.36 fof(f16,plain,(
% 0.09/0.36 ![X0,X1]: (c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg))),
% 0.09/0.36 inference(resolution,[status(thm)],[f10,f8])).
% 0.09/0.36 fof(f18,plain,(
% 0.09/0.36 ![X0]: (c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)))),
% 0.09/0.36 inference(resolution,[status(thm)],[f16,f11])).
% 0.09/0.36 fof(f20,plain,(
% 0.09/0.36 ![X0]: (c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)))),
% 0.09/0.36 inference(duplicate_literals_removal,[status(thm)],[f18])).
% 0.09/0.36 fof(f21,plain,(
% 0.09/0.36 ![X0,X1]: (c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.09/0.36 inference(resolution,[status(thm)],[f20,f13])).
% 0.09/0.36 fof(f24,plain,(
% 0.09/0.36 $false),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f7,f21])).
% 0.09/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.040834 seconds
% 0.14/0.39 % CPU time: 0.108464 seconds
% 0.14/0.39 % Total memory used: 16.805 MB
% 0.14/0.39 % Net memory used: 16.301 MB
%------------------------------------------------------------------------------