%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV261-2 : 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 : n008.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 02:50:21 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV261-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:37:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f1,negated_conjecture,(
% 0.14/0.44 c_in(v_X,v_G,tc_Message_Omsg) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f2,negated_conjecture,(
% 0.14/0.44 ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f3,axiom,(
% 0.14/0.44 (![V_G,V_H]: (c_lessequals(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f4,axiom,(
% 0.14/0.44 (![V_G,V_H]: (( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f5,axiom,(
% 0.14/0.44 (![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) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f6,axiom,(
% 0.14/0.44 (![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) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f7,axiom,(
% 0.14/0.44 (![V_a,V_b,V_A,T_a]: (( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)| c_in(V_a,V_A,T_a)| V_a = V_b ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f8,axiom,(
% 0.14/0.44 (![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)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f9,axiom,(
% 0.14/0.44 (![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)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f10,axiom,(
% 0.14/0.44 (![V_B,V_C,T_a,V_A]: (( ~ c_lessequals(V_B,V_C,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_lessequals(V_A,V_C,tc_set(T_a)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f11,plain,(
% 0.14/0.44 c_in(v_X,v_G,tc_Message_Omsg)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.44 fof(f12,plain,(
% 0.14/0.44 ~c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.44 fof(f13,plain,(
% 0.14/0.44 ![X0,X1]: (c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.44 fof(f14,plain,(
% 0.14/0.44 ![X0,X1]: (~c_lessequals(X0,X1,tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.44 fof(f15,plain,(
% 0.14/0.44 ![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)))),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.44 fof(f16,plain,(
% 0.14/0.44 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.44 fof(f17,plain,(
% 0.14/0.44 ![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)))),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.44 fof(f18,plain,(
% 0.14/0.44 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.44 fof(f19,plain,(
% 0.14/0.44 ![V_a,V_b]: ((![V_A,T_a]: (~c_in(V_a,c_insert(V_b,V_A,T_a),T_a)|c_in(V_a,V_A,T_a)))|V_a=V_b)),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.44 fof(f20,plain,(
% 0.14/0.44 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.44 fof(f21,plain,(
% 0.14/0.44 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.44 fof(f22,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.45 fof(f23,plain,(
% 0.14/0.45 ![V_C,T_a,V_A]: ((![V_B]: (~c_lessequals(V_B,V_C,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_lessequals(V_A,V_C,tc_set(T_a)))),
% 0.14/0.45 inference(miniscoping,[status(thm)],[f10])).
% 0.14/0.45 fof(f24,plain,(
% 0.14/0.45 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X3,X0,tc_set(X2))|c_lessequals(X3,X1,tc_set(X2)))),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.45 fof(f25,plain,(
% 0.14/0.45 ![X0,X1,X2,X3]: (c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)|c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2)=X0)),
% 0.14/0.45 inference(resolution,[status(thm)],[f21,f20])).
% 0.14/0.45 fof(f27,plain,(
% 0.14/0.45 ![X0,X1,X2,X3]: (c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3))),
% 0.14/0.45 inference(resolution,[status(thm)],[f22,f18])).
% 0.14/0.45 fof(f28,plain,(
% 0.14/0.45 ![X0,X1,X2,X3]: (c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3))),
% 0.14/0.45 inference(resolution,[status(thm)],[f22,f16])).
% 0.14/0.45 fof(f30,plain,(
% 0.14/0.45 ![X0]: (~c_lessequals(X0,c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))|~c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg)))),
% 0.14/0.45 inference(resolution,[status(thm)],[f24,f12])).
% 0.14/0.45 fof(f34,plain,(
% 0.14/0.45 ![X0]: (~c_lessequals(c_Message_Oparts(X0),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))|~c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_set(tc_Message_Omsg)))),
% 0.14/0.45 inference(resolution,[status(thm)],[f30,f14])).
% 0.14/0.45 fof(f37,plain,(
% 0.14/0.45 ~c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))),
% 0.14/0.45 inference(resolution,[status(thm)],[f34,f13])).
% 0.14/0.45 fof(f46,plain,(
% 0.14/0.45 ![X0,X1,X2,X3]: (c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))|c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))|c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_union(X3,X1,X2),X2)=X0)),
% 0.14/0.45 inference(resolution,[status(thm)],[f28,f25])).
% 0.14/0.45 fof(f50,plain,(
% 0.14/0.45 ![X0,X1,X2,X3]: (c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))|c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_union(X3,X1,X2),X2)=X0)),
% 0.14/0.45 inference(duplicate_literals_removal,[status(thm)],[f46])).
% 0.14/0.45 fof(f105,plain,(
% 0.14/0.45 c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)=v_X),
% 0.14/0.45 inference(resolution,[status(thm)],[f50,f37])).
% 0.14/0.45 fof(f125,plain,(
% 0.14/0.45 c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|~c_in(v_X,v_G,tc_Message_Omsg)),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f105,f27])).
% 0.14/0.45 fof(f129,plain,(
% 0.14/0.45 ~c_in(v_X,v_G,tc_Message_Omsg)),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f125,f37])).
% 0.14/0.45 fof(f130,plain,(
% 0.14/0.45 $false),
% 0.14/0.45 inference(backward_subsumption_resolution,[status(thm)],[f11,f129])).
% 0.14/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.47 % Elapsed time: 0.085197 seconds
% 0.14/0.47 % CPU time: 0.414271 seconds
% 0.14/0.47 % Total memory used: 82.750 MB
% 0.14/0.47 % Net memory used: 82.228 MB
%------------------------------------------------------------------------------