%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV283-2 : 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 02:50:25 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV283-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n013.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 08:37:35 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f1,axiom,(
% 0.19/0.49 (![V_U,V_msg]: (( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(V_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)| ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f2,axiom,(
% 0.19/0.49 (![V_m,V_k,V_n]: (( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)| c_lessequals(V_k,V_n,tc_nat) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f3,axiom,(
% 0.19/0.49 (![V_m,V_k,V_n]: (( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f4,negated_conjecture,(
% 0.19/0.49 (![V_U]: (( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg)| ~ c_lessequals(v_x,V_U,tc_nat) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f5,negated_conjecture,(
% 0.19/0.49 (![V_W,V_U]: (( c_lessequals(V_W,v_xd(V_W),tc_nat)| c_lessequals(V_U,v_xd(V_U),tc_nat) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f6,negated_conjecture,(
% 0.19/0.49 (![V_X,V_U]: (( c_in(c_Message_Omsg_ONonce(v_xd(V_X)),c_Event_Oused(v_list),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(v_xd(V_X)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(v_xd(V_U)),c_Event_Oused(v_list),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(v_xd(V_U)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f7,plain,(
% 0.19/0.49 ![X0,X1]: (~c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)|~c_lessequals(v_sko__upX(X1),X0,tc_nat))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.19/0.49 fof(f8,plain,(
% 0.19/0.49 ![V_k,V_n]: ((![V_m]: ~c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat))|c_lessequals(V_k,V_n,tc_nat))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f2])).
% 0.19/0.49 fof(f9,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)|c_lessequals(X1,X2,tc_nat))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f8])).
% 0.19/0.49 fof(f10,plain,(
% 0.19/0.49 ![V_m,V_n]: ((![V_k]: ~c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat))|c_lessequals(V_m,V_n,tc_nat))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f3])).
% 0.19/0.49 fof(f11,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)|c_lessequals(X0,X2,tc_nat))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f10])).
% 0.19/0.49 fof(f12,plain,(
% 0.19/0.49 ![X0]: (~c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)|~c_lessequals(v_x,X0,tc_nat))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.49 fof(f13,plain,(
% 0.19/0.49 (![V_W]: c_lessequals(V_W,v_xd(V_W),tc_nat))|(![V_U]: c_lessequals(V_U,v_xd(V_U),tc_nat))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f5])).
% 0.19/0.49 fof(f14,plain,(
% 0.19/0.49 ![X0,X1]: (c_lessequals(X0,v_xd(X0),tc_nat)|c_lessequals(X1,v_xd(X1),tc_nat))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f13])).
% 0.19/0.49 fof(f15,plain,(
% 0.19/0.49 ![V_U]: (((![V_X]: (c_in(c_Message_Omsg_ONonce(v_xd(V_X)),c_Event_Oused(v_list),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(v_xd(V_X)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)))|c_in(c_Message_Omsg_ONonce(v_xd(V_U)),c_Event_Oused(v_list),tc_Message_Omsg))|c_in(c_Message_Omsg_ONonce(v_xd(V_U)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f6])).
% 0.19/0.49 fof(f16,plain,(
% 0.19/0.49 ![X0,X1]: (c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f15])).
% 0.19/0.49 fof(f17,definition,(
% 0.19/0.49 ![X0]: (sQ0_spl <=> (c_lessequals(X0,v_xd(X0),tc_nat)))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f18,plain,(
% 0.19/0.50 ![X0]: (c_lessequals(X0,v_xd(X0),tc_nat)|~sQ0_spl)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f17])).
% 0.19/0.50 fof(f20,plain,(
% 0.19/0.50 sQ0_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f14,f17])).
% 0.19/0.50 fof(f21,definition,(
% 0.19/0.50 ![X0]: (sQ1_spl <=> (c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f22,plain,(
% 0.19/0.50 ![X0]: (c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)|~sQ1_spl)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f21])).
% 0.19/0.50 fof(f24,plain,(
% 0.19/0.50 sQ1_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f16,f21])).
% 0.19/0.50 fof(f25,plain,(
% 0.19/0.50 ![X0]: (~c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat)|c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)|~sQ1_spl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f7,f22])).
% 0.19/0.50 fof(f28,plain,(
% 0.19/0.50 ![X0,X1]: (c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat)|~sQ0_spl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f9,f18])).
% 0.19/0.50 fof(f30,plain,(
% 0.19/0.50 ![X0]: (c_in(c_Message_Omsg_ONonce(v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg)|~sQ0_spl|~sQ1_spl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f28,f25])).
% 0.19/0.50 fof(f33,plain,(
% 0.19/0.50 ![X0]: (~c_lessequals(v_x,v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat)),tc_nat)|~sQ0_spl|~sQ1_spl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f30,f12])).
% 0.19/0.50 fof(f39,plain,(
% 0.19/0.50 ![X0,X1]: (c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat)|~sQ0_spl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f11,f18])).
% 0.19/0.50 fof(f43,plain,(
% 0.19/0.50 $false|~sQ1_spl|~sQ0_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f33,f39])).
% 0.19/0.50 fof(f44,plain,(
% 0.19/0.50 ~sQ1_spl|~sQ0_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f43])).
% 0.19/0.50 fof(f45,plain,(
% 0.19/0.50 $false),
% 0.19/0.50 inference(sat_refutation,[status(thm)],[f20,f24,f44])).
% 0.19/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.57 % Elapsed time: 0.097681 seconds
% 0.19/0.57 % CPU time: 0.055598 seconds
% 0.19/0.57 % Total memory used: 565.664 KB
% 0.19/0.57 % Net memory used: 563.792 KB
%------------------------------------------------------------------------------