TSTP Solution File: SWV283-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:46:32 EDT 2024
% Result : Unsatisfiable 0.09s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n015.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 01:05:47 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.31 fof(f1,axiom,(
% 0.09/0.31 (![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) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f2,axiom,(
% 0.09/0.31 (![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) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f3,axiom,(
% 0.09/0.31 (![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) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f4,negated_conjecture,(
% 0.09/0.31 (![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) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f5,negated_conjecture,(
% 0.09/0.31 (![V_W,V_U]: (( c_lessequals(V_W,v_xd(V_W),tc_nat)| c_lessequals(V_U,v_xd(V_U),tc_nat) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f6,negated_conjecture,(
% 0.09/0.31 (![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) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f7,plain,(
% 0.09/0.31 ![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))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.09/0.31 fof(f8,plain,(
% 0.09/0.31 ![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))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f2])).
% 0.09/0.31 fof(f9,plain,(
% 0.09/0.31 ![X0,X1,X2]: (~c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)|c_lessequals(X1,X2,tc_nat))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.31 fof(f10,plain,(
% 0.09/0.31 ![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))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f3])).
% 0.09/0.31 fof(f11,plain,(
% 0.09/0.31 ![X0,X1,X2]: (~c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)|c_lessequals(X0,X2,tc_nat))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f10])).
% 0.09/0.31 fof(f12,plain,(
% 0.09/0.31 ![X0]: (~c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)|~c_lessequals(v_x,X0,tc_nat))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f4])).
% 0.09/0.31 fof(f13,plain,(
% 0.09/0.31 (![V_W]: c_lessequals(V_W,v_xd(V_W),tc_nat))|(![V_U]: c_lessequals(V_U,v_xd(V_U),tc_nat))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f5])).
% 0.09/0.31 fof(f14,plain,(
% 0.09/0.31 ![X0,X1]: (c_lessequals(X0,v_xd(X0),tc_nat)|c_lessequals(X1,v_xd(X1),tc_nat))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.09/0.31 fof(f15,plain,(
% 0.09/0.31 ![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))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f6])).
% 0.09/0.31 fof(f16,plain,(
% 0.09/0.31 ![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))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f15])).
% 0.09/0.31 fof(f17,plain,(
% 0.09/0.31 spl0_0 <=> c_lessequals(X0,v_xd(X0),tc_nat)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.15/0.31 fof(f18,plain,(
% 0.15/0.31 ![X0]: (c_lessequals(X0,v_xd(X0),tc_nat)|~spl0_0)),
% 0.15/0.31 inference(component_clause,[status(thm)],[f17])).
% 0.15/0.31 fof(f20,plain,(
% 0.15/0.31 spl0_0),
% 0.15/0.31 inference(split_clause,[status(thm)],[f14,f17])).
% 0.15/0.31 fof(f21,plain,(
% 0.15/0.31 spl0_1 <=> 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)),
% 0.15/0.31 introduced(split_symbol_definition)).
% 0.15/0.31 fof(f22,plain,(
% 0.15/0.31 ![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)|~spl0_1)),
% 0.15/0.31 inference(component_clause,[status(thm)],[f21])).
% 0.15/0.31 fof(f24,plain,(
% 0.15/0.31 spl0_1),
% 0.15/0.31 inference(split_clause,[status(thm)],[f16,f21])).
% 0.15/0.31 fof(f25,plain,(
% 0.15/0.31 ![X0,X1]: (c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat)|~spl0_0)),
% 0.15/0.31 inference(resolution,[status(thm)],[f18,f11])).
% 0.15/0.31 fof(f26,plain,(
% 0.15/0.31 ![X0,X1]: (c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat)|~spl0_0)),
% 0.15/0.31 inference(resolution,[status(thm)],[f18,f9])).
% 0.15/0.31 fof(f27,plain,(
% 0.15/0.31 ![X0]: (c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)|~c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat)|~spl0_1)),
% 0.15/0.31 inference(resolution,[status(thm)],[f22,f7])).
% 0.15/0.31 fof(f28,plain,(
% 0.15/0.31 ![X0,X1,X2]: (c_lessequals(X0,v_xd(c_plus(c_plus(X0,X1,tc_nat),X2,tc_nat)),tc_nat)|~spl0_0)),
% 0.15/0.31 inference(resolution,[status(thm)],[f25,f11])).
% 0.15/0.31 fof(f33,plain,(
% 0.15/0.31 ![X0,X1,X2,X3]: (c_lessequals(X0,v_xd(c_plus(c_plus(c_plus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat)),tc_nat)|~spl0_0)),
% 0.15/0.31 inference(resolution,[status(thm)],[f28,f9])).
% 0.15/0.31 fof(f56,plain,(
% 0.15/0.31 ![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)|~spl0_1|~spl0_0)),
% 0.15/0.31 inference(resolution,[status(thm)],[f27,f26])).
% 0.15/0.31 fof(f59,plain,(
% 0.15/0.31 ![X0]: (~c_lessequals(v_x,v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat)),tc_nat)|~spl0_1|~spl0_0)),
% 0.15/0.31 inference(resolution,[status(thm)],[f56,f12])).
% 0.15/0.31 fof(f61,plain,(
% 0.15/0.31 $false|~spl0_1|~spl0_0),
% 0.15/0.31 inference(resolution,[status(thm)],[f59,f33])).
% 0.15/0.31 fof(f62,plain,(
% 0.15/0.31 ~spl0_1|~spl0_0),
% 0.15/0.31 inference(contradiction_clause,[status(thm)],[f61])).
% 0.15/0.31 fof(f63,plain,(
% 0.15/0.31 $false),
% 0.15/0.31 inference(sat_refutation,[status(thm)],[f20,f24,f62])).
% 0.15/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.32 % Elapsed time: 0.013466 seconds
% 0.15/0.32 % CPU time: 0.035407 seconds
% 0.15/0.32 % Total memory used: 3.050 MB
% 0.15/0.32 % Net memory used: 3.022 MB
%------------------------------------------------------------------------------