%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV277-2 : 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 02:50:24 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:39:58 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (![V_H]: (c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (![V_G,V_H]: (( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))| c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_set(tc_nat)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f3,axiom,(
% 0.08/0.38 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,negated_conjecture,(
% 0.08/0.38 ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f5,negated_conjecture,(
% 0.08/0.38 c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f6,plain,(
% 0.08/0.39 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.39 fof(f7,plain,(
% 0.08/0.39 ![X0,X1]: (~c_lessequals(X0,X1,tc_set(tc_Message_Omsg))|c_lessequals(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_set(tc_nat)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.39 fof(f8,plain,(
% 0.08/0.39 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.39 fof(f9,plain,(
% 0.08/0.39 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.39 fof(f10,plain,(
% 0.08/0.39 ~c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.39 fof(f11,plain,(
% 0.08/0.39 c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.39 fof(f12,plain,(
% 0.08/0.39 ![X0]: (~c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),X0,tc_set(tc_nat))|c_in(v_K,X0,tc_nat))),
% 0.08/0.39 inference(resolution,[status(thm)],[f9,f11])).
% 0.08/0.39 fof(f13,plain,(
% 0.08/0.39 ![X0]: (c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X0)),c_Message_OkeysFor(c_Message_Oparts(X0)),tc_set(tc_nat)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f7,f6])).
% 0.08/0.39 fof(f14,plain,(
% 0.08/0.39 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)),
% 0.08/0.39 inference(resolution,[status(thm)],[f13,f12])).
% 0.08/0.39 fof(f15,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f14,f10])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.063441 seconds
% 0.13/0.42 % CPU time: 0.186255 seconds
% 0.13/0.42 % Total memory used: 50.164 MB
% 0.13/0.42 % Net memory used: 49.645 MB
%------------------------------------------------------------------------------