%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV255-2 : 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 : n005.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 02:50:20 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV255-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:36:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,negated_conjecture,(
% 0.09/0.39 (![V_U]: (c_lessequals(V_U,v_xb(V_U),tc_nat) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,negated_conjecture,(
% 0.09/0.39 (![V_U]: (( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)| ~ c_lessequals(v_x,V_U,tc_nat) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,negated_conjecture,(
% 0.09/0.39 (![V_U]: (( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)| ~ c_lessequals(v_xa,V_U,tc_nat) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,negated_conjecture,(
% 0.09/0.39 (![V_U]: (( c_in(c_Message_Omsg_ONonce(v_xb(V_U)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(v_xb(V_U)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,axiom,(
% 0.09/0.39 (![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) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,axiom,(
% 0.09/0.39 (![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) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 ![X0]: (c_lessequals(X0,v_xb(X0),tc_nat))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 ![X0]: (~c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)|~c_lessequals(v_x,X0,tc_nat))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 ![X0]: (~c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)|~c_lessequals(v_xa,X0,tc_nat))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ![X0]: (c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 ![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))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)|c_lessequals(X1,X2,tc_nat))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f13,plain,(
% 0.09/0.39 ![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))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.39 fof(f14,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)|c_lessequals(X0,X2,tc_nat))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 ![X0]: (c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)|~c_lessequals(v_x,v_xb(X0),tc_nat))),
% 0.09/0.39 inference(resolution,[status(thm)],[f10,f8])).
% 0.09/0.39 fof(f18,plain,(
% 0.09/0.39 ![X0,X1]: (c_lessequals(X0,v_xb(c_plus(X1,X0,tc_nat)),tc_nat))),
% 0.09/0.39 inference(resolution,[status(thm)],[f12,f7])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0]: (c_in(c_Message_Omsg_ONonce(v_xb(c_plus(X0,v_x,tc_nat))),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg))),
% 0.09/0.39 inference(resolution,[status(thm)],[f18,f15])).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 ![X0]: (~c_lessequals(v_xa,v_xb(c_plus(X0,v_x,tc_nat)),tc_nat))),
% 0.09/0.39 inference(resolution,[status(thm)],[f20,f9])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 ![X0,X1]: (c_lessequals(X0,v_xb(c_plus(X0,X1,tc_nat)),tc_nat))),
% 0.09/0.39 inference(resolution,[status(thm)],[f14,f7])).
% 0.09/0.39 fof(f32,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(resolution,[status(thm)],[f29,f23])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.042525 seconds
% 0.09/0.41 % CPU time: 0.112122 seconds
% 0.09/0.41 % Total memory used: 16.761 MB
% 0.09/0.41 % Net memory used: 16.276 MB
%------------------------------------------------------------------------------