%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.11s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.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 08:35:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.37 fof(f1,negated_conjecture,(
% 0.11/0.37 (![V_U,V_V]: (( V_U = V_V| c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg) ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f2,axiom,(
% 0.11/0.37 (![V_a_H,V_list_H,T_a]: (c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f3,axiom,(
% 0.11/0.37 (![V_n,V_m]: (c_lessequals(V_n,c_plus(V_m,V_n,tc_nat),tc_nat) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f4,axiom,(
% 0.11/0.37 (![V_m,V_k,V_n]: (( c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat)| V_m = V_n ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f5,axiom,(
% 0.11/0.37 (![V_y]: (c_plus(c_0,V_y,tc_nat) = V_y ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f6,axiom,(
% 0.11/0.37 (![V_U,V_evs]: (( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg)| ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat) ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f7,plain,(
% 0.11/0.37 ![V_U]: ((![V_V]: (V_U=V_V|c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)))|c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg))),
% 0.11/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.37 fof(f8,plain,(
% 0.11/0.37 ![X0,X1]: (X0=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.37 fof(f9,plain,(
% 0.11/0.37 ![X0,X1,X2]: (~c_List_Olist_ONil=c_List_Olist_OCons(X0,X1,X2))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.37 fof(f10,plain,(
% 0.11/0.37 ![X0,X1]: (c_lessequals(X0,c_plus(X1,X0,tc_nat),tc_nat))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.37 fof(f11,plain,(
% 0.11/0.37 ![V_m,V_n]: ((![V_k]: ~c_plus(V_m,V_k,tc_nat)=c_plus(V_n,V_k,tc_nat))|V_m=V_n)),
% 0.11/0.37 inference(miniscoping,[status(thm)],[f4])).
% 0.11/0.37 fof(f12,plain,(
% 0.11/0.37 ![X0,X1,X2]: (~c_plus(X0,X1,tc_nat)=c_plus(X2,X1,tc_nat)|X0=X2)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.37 fof(f13,plain,(
% 0.11/0.37 ![X0]: (c_plus(c_0,X0,tc_nat)=X0)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.37 fof(f14,plain,(
% 0.11/0.37 ![X0,X1]: (~c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg)|~c_lessequals(v_sko__urX(X1),X0,tc_nat))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.37 fof(f15,plain,(
% 0.11/0.37 ![X0]: (c_lessequals(X0,X0,tc_nat))),
% 0.11/0.37 inference(paramodulation,[status(thm)],[f13,f10])).
% 0.11/0.37 fof(f30,plain,(
% 0.11/0.37 ![X0,X1]: (~c_lessequals(v_sko__urX(v_evs),X0,tc_nat)|X0=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg))),
% 0.11/0.37 inference(resolution,[status(thm)],[f14,f8])).
% 0.11/0.37 fof(f33,plain,(
% 0.11/0.37 ![X0]: (v_sko__urX(v_evs)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg))),
% 0.11/0.37 inference(resolution,[status(thm)],[f30,f15])).
% 0.11/0.37 fof(f34,plain,(
% 0.11/0.37 ![X0]: (v_sko__urX(v_evs)=X0|~c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat))),
% 0.11/0.37 inference(resolution,[status(thm)],[f33,f14])).
% 0.11/0.37 fof(f35,plain,(
% 0.11/0.37 ![X0]: (v_sko__urX(v_evs)=c_plus(X0,v_sko__urX(v_evs_H),tc_nat))),
% 0.11/0.37 inference(resolution,[status(thm)],[f34,f10])).
% 0.11/0.37 fof(f36,plain,(
% 0.11/0.37 v_sko__urX(v_evs)=v_sko__urX(v_evs_H)),
% 0.11/0.37 inference(resolution,[status(thm)],[f34,f15])).
% 0.11/0.37 fof(f38,plain,(
% 0.11/0.37 ![X0]: (v_sko__urX(v_evs)=c_plus(X0,v_sko__urX(v_evs),tc_nat))),
% 0.11/0.37 inference(forward_demodulation,[status(thm)],[f36,f35])).
% 0.11/0.37 fof(f43,plain,(
% 0.11/0.37 ![X0,X1]: (~c_plus(X0,v_sko__urX(v_evs),tc_nat)=v_sko__urX(v_evs)|X0=X1)),
% 0.11/0.37 inference(paramodulation,[status(thm)],[f38,f12])).
% 0.11/0.37 fof(f53,plain,(
% 0.11/0.37 ![X0,X1]: (~v_sko__urX(v_evs)=v_sko__urX(v_evs)|X0=X1)),
% 0.11/0.37 inference(forward_demodulation,[status(thm)],[f38,f43])).
% 0.11/0.37 fof(f54,plain,(
% 0.11/0.37 ![X0,X1]: (X0=X1)),
% 0.11/0.37 inference(trivial_equality_resolution,[status(thm)],[f53])).
% 0.11/0.37 fof(f60,plain,(
% 0.11/0.37 $false),
% 0.11/0.37 inference(backward_subsumption_resolution,[status(thm)],[f9,f54])).
% 0.11/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.037374 seconds
% 0.11/0.40 % CPU time: 0.129635 seconds
% 0.11/0.40 % Total memory used: 94.993 MB
% 0.11/0.40 % Net memory used: 94.505 MB
%------------------------------------------------------------------------------