%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV274-2 : 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 : n013.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 02:50:24 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV274-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:37:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![V_X,V_G,V_H]: (( ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![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 ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,axiom,(
% 0.12/0.39 (![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)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (![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)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,negated_conjecture,(
% 0.12/0.39 c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,negated_conjecture,(
% 0.12/0.39 c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,negated_conjecture,(
% 0.12/0.39 ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,plain,(
% 0.12/0.39 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f10,plain,(
% 0.12/0.39 ![V_X,V_H]: ((![V_G]: (~c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)|~c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))))|c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.39 fof(f11,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|~c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))|c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f12,plain,(
% 0.12/0.39 ![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)),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.39 fof(f13,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f16,plain,(
% 0.12/0.39 c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f17,plain,(
% 0.12/0.39 c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f18,plain,(
% 0.12/0.39 ~c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f20,plain,(
% 0.12/0.39 ![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)),
% 0.12/0.39 inference(resolution,[status(thm)],[f14,f13])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 ![X0,X1]: (c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 0.12/0.39 inference(resolution,[status(thm)],[f15,f9])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 ![X0,X1]: (c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))|c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg)=X0)),
% 0.12/0.39 inference(resolution,[status(thm)],[f38,f20])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 ![X0,X1]: (c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg)=X0)),
% 0.12/0.39 inference(duplicate_literals_removal,[status(thm)],[f55])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 ![X0]: (~c_in(v_Y,c_Message_Osynth(X0),tc_Message_Omsg)|~c_lessequals(X0,c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f11,f18])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 ~c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))),
% 0.12/0.39 inference(resolution,[status(thm)],[f69,f16])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)=v_X),
% 0.12/0.39 inference(resolution,[status(thm)],[f65,f70])).
% 0.12/0.39 fof(f108,plain,(
% 0.12/0.39 ~c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)|c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f100,f15])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f108,f17])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f70,f112])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.058926 seconds
% 0.12/0.41 % CPU time: 0.179979 seconds
% 0.12/0.41 % Total memory used: 81.808 MB
% 0.12/0.41 % Net memory used: 81.338 MB
%------------------------------------------------------------------------------