%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV262-2 : 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 : n012.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 0.03s 0.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 08:36:36 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.30 % Refutation found
% 0.03/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.30 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.30 fof(f1,negated_conjecture,(
% 0.03/0.30 c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) ),
% 0.03/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.30 fof(f2,axiom,(
% 0.03/0.30 (![V_G,V_H]: (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) ))),
% 0.03/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.30 fof(f3,axiom,(
% 0.03/0.30 (![V_y,T_a]: (c_union(c_emptyset,V_y,T_a) = V_y ))),
% 0.03/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.30 fof(f4,axiom,(
% 0.03/0.30 (![V_a,V_B,T_a,V_C]: (c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a) ))),
% 0.03/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.30 fof(f5,plain,(
% 0.03/0.30 ~c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))=c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg)),
% 0.03/0.30 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.30 fof(f6,plain,(
% 0.03/0.30 ![X0,X1]: (c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg))=c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.03/0.30 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.30 fof(f7,plain,(
% 0.03/0.30 ![X0,X1]: (c_union(c_emptyset,X0,X1)=X0)),
% 0.03/0.30 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.30 fof(f8,plain,(
% 0.03/0.30 ![X0,X1,X2,X3]: (c_union(c_insert(X0,X1,X2),X3,X2)=c_insert(X0,c_union(X1,X3,X2),X2))),
% 0.03/0.30 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.30 fof(f20,plain,(
% 0.03/0.30 ~c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))=c_union(c_Message_Oparts(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg)),
% 0.03/0.30 inference(backward_demodulation,[status(thm)],[f6,f5])).
% 0.03/0.30 fof(f21,plain,(
% 0.03/0.30 ~c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))=c_Message_Oparts(c_union(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg))),
% 0.03/0.30 inference(forward_demodulation,[status(thm)],[f6,f20])).
% 0.03/0.30 fof(f22,plain,(
% 0.03/0.30 ~c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))=c_Message_Oparts(c_union(c_insert(v_X,c_union(c_emptyset,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg))),
% 0.03/0.30 inference(forward_demodulation,[status(thm)],[f8,f21])).
% 0.03/0.30 fof(f23,plain,(
% 0.03/0.30 ~c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))=c_Message_Oparts(c_insert(v_X,c_union(c_union(c_emptyset,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg),tc_Message_Omsg))),
% 0.03/0.30 inference(forward_demodulation,[status(thm)],[f8,f22])).
% 0.03/0.30 fof(f24,plain,(
% 0.03/0.30 ~c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))=c_Message_Oparts(c_insert(v_X,c_union(c_insert(v_Y,c_emptyset,tc_Message_Omsg),v_H,tc_Message_Omsg),tc_Message_Omsg))),
% 0.03/0.30 inference(forward_demodulation,[status(thm)],[f7,f23])).
% 0.03/0.30 fof(f25,plain,(
% 0.03/0.30 ~c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))=c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_union(c_emptyset,v_H,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),
% 0.03/0.30 inference(forward_demodulation,[status(thm)],[f8,f24])).
% 0.03/0.30 fof(f26,plain,(
% 0.03/0.30 ~c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))=c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))),
% 0.03/0.30 inference(forward_demodulation,[status(thm)],[f7,f25])).
% 0.03/0.30 fof(f27,plain,(
% 0.03/0.30 $false),
% 0.03/0.30 inference(trivial_equality_resolution,[status(thm)],[f26])).
% 0.03/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.31 % Elapsed time: 0.012668 seconds
% 0.03/0.31 % CPU time: 0.014576 seconds
% 0.03/0.31 % Total memory used: 731.328 KB
% 0.03/0.31 % Net memory used: 700.864 KB
%------------------------------------------------------------------------------