TSTP Solution File: SWV282-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 : Wed May 31 12:41:11 EDT 2023
% Result : Unsatisfiable 2.64s 0.80s
% Output : CNFRefutation 2.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:41:03 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 2.64/0.80 % Refutation found
% 2.64/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.64/0.80 % SZS output start CNFRefutation for theBenchmark
% 2.64/0.80 fof(f1,negated_conjecture,(
% 2.64/0.80 (![V_U,V_W,V_V]: (( V_U = V_W| V_V = V_W| V_U = V_V| c_in(c_Message_Omsg_ONonce(V_W),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)| 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) ) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f2,axiom,(
% 2.64/0.80 (![V_y]: (c_Binomial_Obinomial(V_y,c_Suc(c_0)) = V_y ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f3,axiom,(
% 2.64/0.80 (![V_n,V_k]: (c_Binomial_Obinomial(c_Suc(V_n),c_Suc(V_k)) = c_plus(c_Binomial_Obinomial(V_n,V_k),c_Binomial_Obinomial(V_n,c_Suc(V_k)),tc_nat) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f4,axiom,(
% 2.64/0.80 (![V_n]: (c_Binomial_Obinomial(V_n,c_0) = c_1 ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f5,axiom,(
% 2.64/0.80 c_1 = c_Suc(c_0) ),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f6,axiom,(
% 2.64/0.80 (![V_m,V_n]: (( c_minus(V_m,V_n,tc_nat) != c_0| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f7,axiom,(
% 2.64/0.80 (![V_m]: (c_minus(V_m,V_m,tc_nat) = c_0 ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f8,axiom,(
% 2.64/0.80 (![V_n,V_m]: (c_lessequals(V_n,c_plus(V_n,V_m,tc_nat),tc_nat) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f9,axiom,(
% 2.64/0.80 (![V_n]: (c_less(V_n,c_Suc(V_n),tc_nat) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f10,axiom,(
% 2.64/0.80 (![V_m,V_n]: (( ~ c_lessequals(V_m,V_n,tc_nat)| c_less(V_m,c_Suc(V_n),tc_nat) ) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f11,axiom,(
% 2.64/0.80 (![V_k,V_m,V_n]: (( ~ c_lessequals(c_plus(V_k,V_m,tc_nat),c_plus(V_k,V_n,tc_nat),tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f12,axiom,(
% 2.64/0.80 (![V_j,V_i]: (~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f13,axiom,(
% 2.64/0.80 (![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) ) ))),
% 2.64/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.64/0.80 fof(f15,plain,(
% 2.64/0.80 ![V_U]: ((![V_V]: ((![V_W]: (((V_U=V_W|V_V=V_W)|V_U=V_V)|c_in(c_Message_Omsg_ONonce(V_W),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)))|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))),
% 2.64/0.80 inference(miniscoping,[status(esa)],[f1])).
% 2.64/0.80 fof(f16,plain,(
% 2.64/0.80 ![X0,X1,X2]: (X0=X1|X2=X1|X0=X2|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f15])).
% 2.64/0.80 fof(f17,plain,(
% 2.64/0.80 ![X0]: (c_Binomial_Obinomial(X0,c_Suc(c_0))=X0)),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f2])).
% 2.64/0.80 fof(f18,plain,(
% 2.64/0.80 ![X0,X1]: (c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1))=c_plus(c_Binomial_Obinomial(X0,X1),c_Binomial_Obinomial(X0,c_Suc(X1)),tc_nat))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f3])).
% 2.64/0.80 fof(f19,plain,(
% 2.64/0.80 ![X0]: (c_Binomial_Obinomial(X0,c_0)=c_1)),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f4])).
% 2.64/0.80 fof(f20,plain,(
% 2.64/0.80 c_1=c_Suc(c_0)),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f5])).
% 2.64/0.80 fof(f21,plain,(
% 2.64/0.80 ![X0,X1]: (~c_minus(X0,X1,tc_nat)=c_0|c_lessequals(X0,X1,tc_nat))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f6])).
% 2.64/0.80 fof(f22,plain,(
% 2.64/0.80 ![X0]: (c_minus(X0,X0,tc_nat)=c_0)),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f7])).
% 2.64/0.80 fof(f23,plain,(
% 2.64/0.80 ![X0,X1]: (c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f8])).
% 2.64/0.80 fof(f24,plain,(
% 2.64/0.80 ![X0]: (c_less(X0,c_Suc(X0),tc_nat))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f9])).
% 2.64/0.80 fof(f25,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|c_less(X0,c_Suc(X1),tc_nat))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f10])).
% 2.64/0.80 fof(f26,plain,(
% 2.64/0.80 ![V_m,V_n]: ((![V_k]: ~c_lessequals(c_plus(V_k,V_m,tc_nat),c_plus(V_k,V_n,tc_nat),tc_nat))|c_lessequals(V_m,V_n,tc_nat))),
% 2.64/0.80 inference(miniscoping,[status(esa)],[f11])).
% 2.64/0.80 fof(f27,plain,(
% 2.64/0.80 ![X0,X1,X2]: (~c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)|c_lessequals(X1,X2,tc_nat))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f26])).
% 2.64/0.80 fof(f28,plain,(
% 2.64/0.80 ![X0,X1]: (~c_less(c_plus(X0,X1,tc_nat),X1,tc_nat))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f12])).
% 2.64/0.80 fof(f29,plain,(
% 2.64/0.80 ![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))),
% 2.64/0.80 inference(cnf_transformation,[status(esa)],[f13])).
% 2.64/0.80 fof(f32,plain,(
% 2.64/0.80 ![X0]: (c_Binomial_Obinomial(X0,c_1)=X0)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f20,f17])).
% 2.64/0.80 fof(f33,plain,(
% 2.64/0.80 ![X0]: (c_lessequals(X0,X0,tc_nat))),
% 2.64/0.80 inference(resolution,[status(thm)],[f21,f22])).
% 2.64/0.80 fof(f34,plain,(
% 2.64/0.80 spl0_0 <=> c_0=c_0),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f36,plain,(
% 2.64/0.80 ~c_0=c_0|spl0_0),
% 2.64/0.80 inference(component_clause,[status(thm)],[f34])).
% 2.64/0.80 fof(f37,plain,(
% 2.64/0.80 spl0_1 <=> c_lessequals(X0,X0,tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f40,plain,(
% 2.64/0.80 ![X0]: (~c_0=c_0|c_lessequals(X0,X0,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f22,f21])).
% 2.64/0.80 fof(f41,plain,(
% 2.64/0.80 ~spl0_0|spl0_1),
% 2.64/0.80 inference(split_clause,[status(thm)],[f40,f34,f37])).
% 2.64/0.80 fof(f42,plain,(
% 2.64/0.80 $false|spl0_0),
% 2.64/0.80 inference(trivial_equality_resolution,[status(esa)],[f36])).
% 2.64/0.80 fof(f43,plain,(
% 2.64/0.80 spl0_0),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f42])).
% 2.64/0.80 fof(f44,plain,(
% 2.64/0.80 ![X0,X1]: (c_less(X0,c_Suc(c_plus(X0,X1,tc_nat)),tc_nat))),
% 2.64/0.80 inference(resolution,[status(thm)],[f25,f23])).
% 2.64/0.80 fof(f46,plain,(
% 2.64/0.80 ![X0,X1,X2]: (~c_lessequals(v_sko__urX(v_evs),X0,tc_nat)|X0=X1|X2=X1|X0=X2|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg))),
% 2.64/0.80 inference(resolution,[status(thm)],[f29,f16])).
% 2.64/0.80 fof(f50,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs)=X0|X1=X0|v_sko__urX(v_evs)=X1|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg))),
% 2.64/0.80 inference(resolution,[status(thm)],[f46,f33])).
% 2.64/0.80 fof(f53,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs)=X0|X1=X0|v_sko__urX(v_evs)=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat))),
% 2.64/0.80 inference(resolution,[status(thm)],[f50,f29])).
% 2.64/0.80 fof(f54,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs)=X0|X1=X0|v_sko__urX(v_evs)=X1|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat))),
% 2.64/0.80 inference(resolution,[status(thm)],[f50,f29])).
% 2.64/0.80 fof(f55,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs)=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg))),
% 2.64/0.80 inference(resolution,[status(thm)],[f53,f23])).
% 2.64/0.80 fof(f56,plain,(
% 2.64/0.80 spl0_2 <=> v_sko__urX(v_evs)=v_sko__urX(v_evs_H_H)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f57,plain,(
% 2.64/0.80 v_sko__urX(v_evs)=v_sko__urX(v_evs_H_H)|~spl0_2),
% 2.64/0.80 inference(component_clause,[status(thm)],[f56])).
% 2.64/0.80 fof(f59,plain,(
% 2.64/0.80 spl0_3 <=> X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f60,plain,(
% 2.64/0.80 ![X0]: (X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_3)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f59])).
% 2.64/0.80 fof(f62,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs)=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg))),
% 2.64/0.80 inference(resolution,[status(thm)],[f53,f33])).
% 2.64/0.80 fof(f63,plain,(
% 2.64/0.80 spl0_2|spl0_3),
% 2.64/0.80 inference(split_clause,[status(thm)],[f62,f56,f59])).
% 2.64/0.80 fof(f69,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs_H_H)=X0|X1=X0|v_sko__urX(v_evs)=X1|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat)|~spl0_2)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f57,f54])).
% 2.64/0.80 fof(f70,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs_H_H)=X0|X1=X0|v_sko__urX(v_evs_H_H)=X1|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat)|~spl0_2)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f57,f69])).
% 2.64/0.80 fof(f72,plain,(
% 2.64/0.80 spl0_4 <=> v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f73,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~spl0_4)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f72])).
% 2.64/0.80 fof(f75,plain,(
% 2.64/0.80 spl0_5 <=> v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f76,plain,(
% 2.64/0.80 v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H)|~spl0_5),
% 2.64/0.80 inference(component_clause,[status(thm)],[f75])).
% 2.64/0.80 fof(f78,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H)=X0|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~spl0_2)),
% 2.64/0.80 inference(resolution,[status(thm)],[f70,f33])).
% 2.64/0.80 fof(f79,plain,(
% 2.64/0.80 spl0_4|spl0_5|~spl0_2),
% 2.64/0.80 inference(split_clause,[status(thm)],[f78,f72,f75,f56])).
% 2.64/0.80 fof(f81,plain,(
% 2.64/0.80 ![X0]: (X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=X0|~c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_3)),
% 2.64/0.80 inference(resolution,[status(thm)],[f60,f29])).
% 2.64/0.80 fof(f89,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H)=X0|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4)),
% 2.64/0.80 inference(resolution,[status(thm)],[f73,f29])).
% 2.64/0.80 fof(f90,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4)),
% 2.64/0.80 inference(resolution,[status(thm)],[f89,f23])).
% 2.64/0.80 fof(f97,plain,(
% 2.64/0.80 spl0_7 <=> v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f98,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~spl0_7)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f97])).
% 2.64/0.80 fof(f106,plain,(
% 2.64/0.80 spl0_8 <=> c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f107,plain,(
% 2.64/0.80 c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)|~spl0_8),
% 2.64/0.80 inference(component_clause,[status(thm)],[f106])).
% 2.64/0.80 fof(f109,plain,(
% 2.64/0.80 spl0_9 <=> v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f110,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_9)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f109])).
% 2.64/0.80 fof(f112,plain,(
% 2.64/0.80 ![X0]: (c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f90,f44])).
% 2.64/0.80 fof(f113,plain,(
% 2.64/0.80 spl0_8|spl0_9|~spl0_4),
% 2.64/0.80 inference(split_clause,[status(thm)],[f112,f106,f109,f72])).
% 2.64/0.80 fof(f114,plain,(
% 2.64/0.80 ![X0]: (~c_less(v_sko__urX(v_evs_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f90,f28])).
% 2.64/0.80 fof(f130,plain,(
% 2.64/0.80 spl0_11 <=> X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f131,plain,(
% 2.64/0.80 ![X0]: (X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_11)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f130])).
% 2.64/0.80 fof(f163,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs)=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_2)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f57,f55])).
% 2.64/0.80 fof(f164,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_2)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f57,f163])).
% 2.64/0.80 fof(f165,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=X1|~c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat)|~spl0_2)),
% 2.64/0.80 inference(resolution,[status(thm)],[f164,f29])).
% 2.64/0.80 fof(f166,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=X1|~c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)|~spl0_5|~spl0_2)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f76,f165])).
% 2.64/0.80 fof(f167,plain,(
% 2.64/0.80 ![X0,X1]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat)|~spl0_5|~spl0_2)),
% 2.64/0.80 inference(resolution,[status(thm)],[f166,f23])).
% 2.64/0.80 fof(f168,plain,(
% 2.64/0.80 spl0_13 <=> v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f169,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_13)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f168])).
% 2.64/0.80 fof(f182,plain,(
% 2.64/0.80 spl0_14 <=> X1=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X1|~c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f183,plain,(
% 2.64/0.80 ![X0]: (X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X0|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_14)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f182])).
% 2.64/0.80 fof(f190,plain,(
% 2.64/0.80 ![X0]: (~c_less(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_9)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f110,f28])).
% 2.64/0.80 fof(f192,plain,(
% 2.64/0.80 $false|~spl0_9),
% 2.64/0.80 inference(resolution,[status(thm)],[f190,f44])).
% 2.64/0.80 fof(f193,plain,(
% 2.64/0.80 ~spl0_9),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f192])).
% 2.64/0.80 fof(f202,plain,(
% 2.64/0.80 ![X0]: (c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=c_plus(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_3)),
% 2.64/0.80 inference(resolution,[status(thm)],[f81,f23])).
% 2.64/0.80 fof(f203,plain,(
% 2.64/0.80 spl0_15 <=> v_sko__urX(v_evs)=v_sko__urX(v_evs_H)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f204,plain,(
% 2.64/0.80 v_sko__urX(v_evs)=v_sko__urX(v_evs_H)|~spl0_15),
% 2.64/0.80 inference(component_clause,[status(thm)],[f203])).
% 2.64/0.80 fof(f206,plain,(
% 2.64/0.80 v_sko__urX(v_evs_H)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=v_sko__urX(v_evs_H)|~spl0_3),
% 2.64/0.80 inference(resolution,[status(thm)],[f81,f33])).
% 2.64/0.80 fof(f207,plain,(
% 2.64/0.80 spl0_5|spl0_15|~spl0_3),
% 2.64/0.80 inference(split_clause,[status(thm)],[f206,f75,f203,f59])).
% 2.64/0.80 fof(f217,plain,(
% 2.64/0.80 ![X0]: (c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=c_plus(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_5|~spl0_3)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f76,f202])).
% 2.64/0.80 fof(f218,plain,(
% 2.64/0.80 ![X0]: (c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_5|~spl0_3)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f76,f217])).
% 2.64/0.80 fof(f219,plain,(
% 2.64/0.80 spl0_16 <=> c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f220,plain,(
% 2.64/0.80 c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)|~spl0_16),
% 2.64/0.80 inference(component_clause,[status(thm)],[f219])).
% 2.64/0.80 fof(f222,plain,(
% 2.64/0.80 ![X0]: (c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)|c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_5|~spl0_3)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f218,f44])).
% 2.64/0.80 fof(f223,plain,(
% 2.64/0.80 spl0_16|spl0_9|~spl0_5|~spl0_3),
% 2.64/0.80 inference(split_clause,[status(thm)],[f222,f219,f109,f75,f59])).
% 2.64/0.80 fof(f224,plain,(
% 2.64/0.80 ![X0]: (~c_less(v_sko__urX(v_evs),X0,tc_nat)|c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_5|~spl0_3)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f218,f28])).
% 2.64/0.80 fof(f246,plain,(
% 2.64/0.80 ![X0]: (c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H)=c_plus(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_15|~spl0_3)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f204,f202])).
% 2.64/0.80 fof(f250,plain,(
% 2.64/0.80 spl0_20 <=> c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f251,plain,(
% 2.64/0.80 ![X0]: (c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_20)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f250])).
% 2.64/0.80 fof(f255,plain,(
% 2.64/0.80 ![X0]: (~c_less(v_sko__urX(v_evs_H),X0,tc_nat)|c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_3)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f246,f28])).
% 2.64/0.80 fof(f266,plain,(
% 2.64/0.80 ![X0]: (~c_less(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_20)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f251,f28])).
% 2.64/0.80 fof(f268,plain,(
% 2.64/0.80 $false|~spl0_20),
% 2.64/0.80 inference(resolution,[status(thm)],[f266,f44])).
% 2.64/0.80 fof(f269,plain,(
% 2.64/0.80 ~spl0_20),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f268])).
% 2.64/0.80 fof(f271,plain,(
% 2.64/0.80 c_plus(v_sko__urX(v_evs_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_3),
% 2.64/0.80 inference(resolution,[status(thm)],[f255,f24])).
% 2.64/0.80 fof(f272,plain,(
% 2.64/0.80 c_less(v_sko__urX(v_evs_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_15|~spl0_3),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f271,f44])).
% 2.64/0.80 fof(f278,plain,(
% 2.64/0.80 c_plus(v_sko__urX(v_evs_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_3),
% 2.64/0.80 inference(resolution,[status(thm)],[f272,f255])).
% 2.64/0.80 fof(f280,plain,(
% 2.64/0.80 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_15|~spl0_3),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f278,f28])).
% 2.64/0.80 fof(f281,plain,(
% 2.64/0.80 $false|~spl0_15|~spl0_3),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f280,f24])).
% 2.64/0.80 fof(f282,plain,(
% 2.64/0.80 ~spl0_15|~spl0_3),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f281])).
% 2.64/0.80 fof(f298,plain,(
% 2.64/0.80 c_plus(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_5|~spl0_3),
% 2.64/0.80 inference(resolution,[status(thm)],[f224,f24])).
% 2.64/0.80 fof(f300,plain,(
% 2.64/0.80 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)|~spl0_5|~spl0_3),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f298,f28])).
% 2.64/0.80 fof(f301,plain,(
% 2.64/0.80 $false|~spl0_16|~spl0_5|~spl0_3),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f300,f220])).
% 2.64/0.80 fof(f302,plain,(
% 2.64/0.80 ~spl0_16|~spl0_5|~spl0_3),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f301])).
% 2.64/0.80 fof(f345,plain,(
% 2.64/0.80 ![X0]: (c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_0))=c_plus(c_1,c_Binomial_Obinomial(X0,c_Suc(c_0)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f19,f18])).
% 2.64/0.80 fof(f346,plain,(
% 2.64/0.80 ![X0]: (c_Binomial_Obinomial(c_Suc(X0),c_1)=c_plus(c_1,c_Binomial_Obinomial(X0,c_Suc(c_0)),tc_nat))),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f20,f345])).
% 2.64/0.80 fof(f347,plain,(
% 2.64/0.80 ![X0]: (c_Suc(X0)=c_plus(c_1,c_Binomial_Obinomial(X0,c_Suc(c_0)),tc_nat))),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f32,f346])).
% 2.64/0.80 fof(f348,plain,(
% 2.64/0.80 ![X0]: (c_Suc(X0)=c_plus(c_1,c_Binomial_Obinomial(X0,c_1),tc_nat))),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f20,f347])).
% 2.64/0.80 fof(f349,plain,(
% 2.64/0.80 ![X0]: (c_Suc(X0)=c_plus(c_1,X0,tc_nat))),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f32,f348])).
% 2.64/0.80 fof(f350,plain,(
% 2.64/0.80 ![X0]: (c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_1))=c_plus(X0,c_Binomial_Obinomial(X0,c_Suc(c_1)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f32,f18])).
% 2.64/0.80 fof(f358,plain,(
% 2.64/0.80 ![X0,X1]: (c_lessequals(c_Binomial_Obinomial(X0,X1),c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f18,f23])).
% 2.64/0.80 fof(f360,plain,(
% 2.64/0.80 ![X0]: (c_lessequals(c_1,c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_0)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f19,f358])).
% 2.64/0.80 fof(f361,plain,(
% 2.64/0.80 ![X0]: (c_lessequals(c_1,c_Binomial_Obinomial(c_Suc(X0),c_1),tc_nat))),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f20,f360])).
% 2.64/0.80 fof(f362,plain,(
% 2.64/0.80 ![X0]: (c_lessequals(c_1,c_Suc(X0),tc_nat))),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f32,f361])).
% 2.64/0.80 fof(f363,plain,(
% 2.64/0.80 ![X0]: (c_lessequals(X0,c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_1)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f32,f358])).
% 2.64/0.80 fof(f379,plain,(
% 2.64/0.80 ![X0]: (~c_less(c_Suc(X0),X0,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f349,f28])).
% 2.64/0.80 fof(f453,plain,(
% 2.64/0.80 c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1))=c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1)))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f349,f350])).
% 2.64/0.80 fof(f466,plain,(
% 2.64/0.80 c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1))=c_plus(c_Suc(c_1),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f453,f350])).
% 2.64/0.80 fof(f472,plain,(
% 2.64/0.80 c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_Suc(c_1)))=c_plus(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_Suc(c_1))),tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f453,f18])).
% 2.64/0.80 fof(f474,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(c_Suc(X0),c_plus(c_1,X1,tc_nat),tc_nat)|c_lessequals(X0,X1,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f349,f27])).
% 2.64/0.80 fof(f475,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)|c_lessequals(X0,X1,tc_nat))),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f349,f474])).
% 2.64/0.80 fof(f476,plain,(
% 2.64/0.80 ![X0,X1,X2]: (~c_lessequals(c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)),c_plus(c_Binomial_Obinomial(X0,X1),X2,tc_nat),tc_nat)|c_lessequals(c_Binomial_Obinomial(X0,c_Suc(X1)),X2,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f18,f27])).
% 2.64/0.80 fof(f477,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_1)),c_plus(X0,X1,tc_nat),tc_nat)|c_lessequals(c_Binomial_Obinomial(X0,c_Suc(c_1)),X1,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f350,f27])).
% 2.64/0.80 fof(f480,plain,(
% 2.64/0.80 ![X0,X1,X2]: (~c_lessequals(c_plus(c_Binomial_Obinomial(X0,X1),X2,tc_nat),c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)),tc_nat)|c_lessequals(X2,c_Binomial_Obinomial(X0,c_Suc(X1)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f18,f27])).
% 2.64/0.80 fof(f481,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(c_plus(X0,X1,tc_nat),c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_1)),tc_nat)|c_lessequals(X1,c_Binomial_Obinomial(X0,c_Suc(c_1)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f350,f27])).
% 2.64/0.80 fof(f483,plain,(
% 2.64/0.80 ![X0]: (~c_lessequals(c_1,c_Suc(X0),tc_nat)|c_lessequals(c_0,X0,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f20,f475])).
% 2.64/0.80 fof(f484,plain,(
% 2.64/0.80 ![X0]: (c_lessequals(c_0,X0,tc_nat))),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f483,f362])).
% 2.64/0.80 fof(f485,plain,(
% 2.64/0.80 ![X0]: (~c_lessequals(c_Suc(X0),c_1,tc_nat)|c_lessequals(X0,c_0,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f20,f475])).
% 2.64/0.80 fof(f488,plain,(
% 2.64/0.80 spl0_27 <=> c_lessequals(c_1,c_1,tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f490,plain,(
% 2.64/0.80 ~c_lessequals(c_1,c_1,tc_nat)|spl0_27),
% 2.64/0.80 inference(component_clause,[status(thm)],[f488])).
% 2.64/0.80 fof(f491,plain,(
% 2.64/0.80 spl0_28 <=> c_lessequals(c_0,c_0,tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f494,plain,(
% 2.64/0.80 ~c_lessequals(c_1,c_1,tc_nat)|c_lessequals(c_0,c_0,tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f20,f485])).
% 2.64/0.80 fof(f495,plain,(
% 2.64/0.80 ~spl0_27|spl0_28),
% 2.64/0.80 inference(split_clause,[status(thm)],[f494,f488,f491])).
% 2.64/0.80 fof(f496,plain,(
% 2.64/0.80 $false|spl0_27),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f490,f33])).
% 2.64/0.80 fof(f497,plain,(
% 2.64/0.80 spl0_27),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f496])).
% 2.64/0.80 fof(f602,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(X0)),c_plus(c_Binomial_Obinomial(c_0,X0),X1,tc_nat),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(X0)),X1,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f20,f476])).
% 2.64/0.80 fof(f610,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(X0,X1)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(X0,c_Suc(X1)),c_Binomial_Obinomial(c_Binomial_Obinomial(X0,X1),c_Suc(c_1)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f350,f476])).
% 2.64/0.80 fof(f612,plain,(
% 2.64/0.80 ![X0]: (~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_Suc(c_1))),c_plus(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),X0,tc_nat),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_Suc(c_1))),X0,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f453,f476])).
% 2.64/0.80 fof(f621,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(X0,X1)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(X0,X1),c_Suc(c_1)),c_Binomial_Obinomial(X0,c_Suc(X1)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f350,f480])).
% 2.64/0.80 fof(f635,plain,(
% 2.64/0.80 ![X0,X1]: (~c_lessequals(c_plus(c_Binomial_Obinomial(c_0,X0),X1,tc_nat),c_Binomial_Obinomial(c_1,c_Suc(X0)),tc_nat)|c_lessequals(X1,c_Binomial_Obinomial(c_0,c_Suc(X0)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f20,f480])).
% 2.64/0.80 fof(f988,plain,(
% 2.64/0.80 ![X0]: (~c_lessequals(c_plus(c_Suc(c_1),X0,tc_nat),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),tc_nat)|c_lessequals(X0,c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f466,f27])).
% 2.64/0.80 fof(f996,plain,(
% 2.64/0.80 ![X0]: (~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_plus(c_0,X0,tc_nat),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(c_1)),X0,tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f20,f477])).
% 2.64/0.80 fof(f997,plain,(
% 2.64/0.80 spl0_51 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f999,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),tc_nat)|spl0_51),
% 2.64/0.80 inference(component_clause,[status(thm)],[f997])).
% 2.64/0.80 fof(f1000,plain,(
% 2.64/0.80 spl0_52 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1003,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f466,f477])).
% 2.64/0.80 fof(f1004,plain,(
% 2.64/0.80 ~spl0_51|spl0_52),
% 2.64/0.80 inference(split_clause,[status(thm)],[f1003,f997,f1000])).
% 2.64/0.80 fof(f1005,plain,(
% 2.64/0.80 spl0_53 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1007,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_1)),tc_nat)|spl0_53),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1005])).
% 2.64/0.80 fof(f1014,plain,(
% 2.64/0.80 $false|spl0_51),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f999,f33])).
% 2.64/0.80 fof(f1015,plain,(
% 2.64/0.80 spl0_51),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1014])).
% 2.64/0.80 fof(f1016,plain,(
% 2.64/0.80 $false|spl0_53),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1007,f33])).
% 2.64/0.80 fof(f1017,plain,(
% 2.64/0.80 spl0_53),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1016])).
% 2.64/0.80 fof(f1019,plain,(
% 2.64/0.80 spl0_54 <=> c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1022,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f466,f481])).
% 2.64/0.80 fof(f1023,plain,(
% 2.64/0.80 ~spl0_51|spl0_54),
% 2.64/0.80 inference(split_clause,[status(thm)],[f1022,f997,f1019])).
% 2.64/0.80 fof(f1024,plain,(
% 2.64/0.80 spl0_55 <=> c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1026,plain,(
% 2.64/0.80 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|spl0_55),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1024])).
% 2.64/0.80 fof(f1039,plain,(
% 2.64/0.80 spl0_56 <=> c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1041,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),tc_nat)|spl0_56),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1039])).
% 2.64/0.80 fof(f1042,plain,(
% 2.64/0.80 spl0_57 <=> c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(c_1)),c_Binomial_Obinomial(c_0,c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1045,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(c_1)),c_Binomial_Obinomial(c_0,c_Suc(c_1)),tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f350,f996])).
% 2.64/0.80 fof(f1046,plain,(
% 2.64/0.80 ~spl0_56|spl0_57),
% 2.64/0.80 inference(split_clause,[status(thm)],[f1045,f1039,f1042])).
% 2.64/0.80 fof(f1047,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)|spl0_56),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f20,f1041])).
% 2.64/0.80 fof(f1048,plain,(
% 2.64/0.80 $false|spl0_56),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1047,f33])).
% 2.64/0.80 fof(f1049,plain,(
% 2.64/0.80 spl0_56),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1048])).
% 2.64/0.80 fof(f1051,plain,(
% 2.64/0.80 spl0_58 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1053,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)|spl0_58),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1051])).
% 2.64/0.80 fof(f1056,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)|spl0_58),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f20,f1053])).
% 2.64/0.80 fof(f1057,plain,(
% 2.64/0.80 $false|spl0_58),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1056,f33])).
% 2.64/0.80 fof(f1058,plain,(
% 2.64/0.80 spl0_58),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1057])).
% 2.64/0.80 fof(f1068,plain,(
% 2.64/0.80 ![X0]: (~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(X0)),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_0,X0)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(X0)),c_Binomial_Obinomial(c_Binomial_Obinomial(c_0,X0),c_Suc(c_1)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f350,f602])).
% 2.64/0.80 fof(f1078,plain,(
% 2.64/0.80 ![X0]: (~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_0,X0)),c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(X0)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_0,X0),c_Suc(c_1)),c_Binomial_Obinomial(c_0,c_Suc(X0)),tc_nat))),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f350,f635])).
% 2.64/0.80 fof(f1117,plain,(
% 2.64/0.80 spl0_61 <=> c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1119,plain,(
% 2.64/0.80 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|spl0_61),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1117])).
% 2.64/0.80 fof(f1120,plain,(
% 2.64/0.80 spl0_62 <=> c_lessequals(X0,c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1121,plain,(
% 2.64/0.80 ![X0]: (c_lessequals(X0,c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)|~spl0_62)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1120])).
% 2.64/0.80 fof(f1149,plain,(
% 2.64/0.80 $false|spl0_61),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1119,f33])).
% 2.64/0.80 fof(f1150,plain,(
% 2.64/0.80 spl0_61),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1149])).
% 2.64/0.80 fof(f1151,plain,(
% 2.64/0.80 ![X0]: (X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_14)),
% 2.64/0.80 inference(duplicate_literals_removal,[status(esa)],[f183])).
% 2.64/0.80 fof(f1155,plain,(
% 2.64/0.80 ![X0]: (c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_14)),
% 2.64/0.80 inference(resolution,[status(thm)],[f1151,f23])).
% 2.64/0.80 fof(f1156,plain,(
% 2.64/0.80 spl0_9|~spl0_14),
% 2.64/0.80 inference(split_clause,[status(thm)],[f1155,f109,f182])).
% 2.64/0.80 fof(f1160,plain,(
% 2.64/0.80 ![X0]: (c_less(X0,c_Suc(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))),tc_nat)|~spl0_62)),
% 2.64/0.80 inference(resolution,[status(thm)],[f1121,f25])).
% 2.64/0.80 fof(f1161,plain,(
% 2.64/0.80 $false|~spl0_62),
% 2.64/0.80 inference(resolution,[status(thm)],[f1160,f379])).
% 2.64/0.80 fof(f1162,plain,(
% 2.64/0.80 ~spl0_62),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1161])).
% 2.64/0.80 fof(f1288,plain,(
% 2.64/0.80 spl0_68 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1290,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))),c_Suc(c_1)),tc_nat)|spl0_68),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1288])).
% 2.64/0.80 fof(f1312,plain,(
% 2.64/0.80 spl0_74 <=> c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_1,c_1)),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1314,plain,(
% 2.64/0.80 ~c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_1,c_1)),c_Suc(c_1)),tc_nat)|spl0_74),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1312])).
% 2.64/0.80 fof(f1315,plain,(
% 2.64/0.80 spl0_75 <=> c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_Binomial_Obinomial(c_1,c_1),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1318,plain,(
% 2.64/0.80 ~c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_1,c_1)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_Binomial_Obinomial(c_1,c_1),c_Suc(c_1)),tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f453,f610])).
% 2.64/0.80 fof(f1319,plain,(
% 2.64/0.80 ~spl0_74|spl0_75),
% 2.64/0.80 inference(split_clause,[status(thm)],[f1318,f1312,f1315])).
% 2.64/0.80 fof(f1369,plain,(
% 2.64/0.80 $false|spl0_68),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1290,f363])).
% 2.64/0.80 fof(f1370,plain,(
% 2.64/0.80 spl0_68),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1369])).
% 2.64/0.80 fof(f1376,plain,(
% 2.64/0.80 ~c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|spl0_74),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f32,f1314])).
% 2.64/0.80 fof(f1377,plain,(
% 2.64/0.80 ~c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|spl0_74),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f453,f1376])).
% 2.64/0.80 fof(f1378,plain,(
% 2.64/0.80 $false|spl0_74),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1377,f33])).
% 2.64/0.80 fof(f1379,plain,(
% 2.64/0.80 spl0_74),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1378])).
% 2.64/0.80 fof(f1438,plain,(
% 2.64/0.80 spl0_94 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_1,c_1)),c_Suc(c_1)),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1440,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_1,c_1)),c_Suc(c_1)),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|spl0_94),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1438])).
% 2.64/0.80 fof(f1441,plain,(
% 2.64/0.80 spl0_95 <=> c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_1,c_1),c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1444,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_1,c_1)),c_Suc(c_1)),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_1,c_1),c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f453,f621])).
% 2.64/0.80 fof(f1445,plain,(
% 2.64/0.80 ~spl0_94|spl0_95),
% 2.64/0.80 inference(split_clause,[status(thm)],[f1444,f1438,f1441])).
% 2.64/0.80 fof(f1461,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|spl0_94),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f32,f1440])).
% 2.64/0.80 fof(f1462,plain,(
% 2.64/0.80 ~c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|spl0_94),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f453,f1461])).
% 2.64/0.80 fof(f1463,plain,(
% 2.64/0.80 $false|spl0_94),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1462,f33])).
% 2.64/0.80 fof(f1464,plain,(
% 2.64/0.80 spl0_94),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1463])).
% 2.64/0.80 fof(f1498,plain,(
% 2.64/0.80 spl0_98 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_Suc(c_1))),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1500,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_Suc(c_1))),tc_nat)|spl0_98),
% 2.64/0.80 inference(component_clause,[status(thm)],[f1498])).
% 2.64/0.80 fof(f1501,plain,(
% 2.64/0.80 spl0_99 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_Suc(c_1))),tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f1504,plain,(
% 2.64/0.80 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_Suc(c_1))),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_Suc(c_1))),tc_nat)),
% 2.64/0.80 inference(paramodulation,[status(thm)],[f472,f612])).
% 2.64/0.80 fof(f1505,plain,(
% 2.64/0.80 ~spl0_98|spl0_99),
% 2.64/0.80 inference(split_clause,[status(thm)],[f1504,f1498,f1501])).
% 2.64/0.80 fof(f1508,plain,(
% 2.64/0.80 $false|spl0_98),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1500,f33])).
% 2.64/0.80 fof(f1509,plain,(
% 2.64/0.80 spl0_98),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f1508])).
% 2.64/0.80 fof(f2193,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_13)),
% 2.64/0.80 inference(duplicate_literals_removal,[status(esa)],[f169])).
% 2.64/0.80 fof(f2195,plain,(
% 2.64/0.80 ![X0]: (X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_11)),
% 2.64/0.80 inference(duplicate_literals_removal,[status(esa)],[f131])).
% 2.64/0.80 fof(f2198,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~spl0_7)),
% 2.64/0.80 inference(duplicate_literals_removal,[status(esa)],[f98])).
% 2.64/0.80 fof(f2250,plain,(
% 2.64/0.80 ![X0]: (X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_11)),
% 2.64/0.80 inference(resolution,[status(thm)],[f2195,f29])).
% 2.64/0.80 fof(f2251,plain,(
% 2.64/0.80 ![X0]: (X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_5|~spl0_11)),
% 2.64/0.80 inference(forward_demodulation,[status(thm)],[f76,f2250])).
% 2.64/0.80 fof(f2253,plain,(
% 2.64/0.80 ![X0]: (c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_5|~spl0_11)),
% 2.64/0.80 inference(resolution,[status(thm)],[f2251,f23])).
% 2.64/0.80 fof(f2254,plain,(
% 2.64/0.80 spl0_9|~spl0_5|~spl0_11),
% 2.64/0.80 inference(split_clause,[status(thm)],[f2253,f109,f75,f130])).
% 2.64/0.80 fof(f2255,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=X0|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_7)),
% 2.64/0.80 inference(resolution,[status(thm)],[f2198,f29])).
% 2.64/0.80 fof(f2257,plain,(
% 2.64/0.80 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_7)),
% 2.64/0.80 inference(resolution,[status(thm)],[f2255,f23])).
% 2.64/0.80 fof(f2258,plain,(
% 2.64/0.80 spl0_9|~spl0_7),
% 2.64/0.80 inference(split_clause,[status(thm)],[f2257,f109,f97])).
% 2.64/0.80 fof(f2468,plain,(
% 2.64/0.80 spl0_144 <=> c_lessequals(c_Suc(c_Suc(X0)),X0,tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f2469,plain,(
% 2.64/0.80 ![X0]: (c_lessequals(c_Suc(c_Suc(X0)),X0,tc_nat)|~spl0_144)),
% 2.64/0.80 inference(component_clause,[status(thm)],[f2468])).
% 2.64/0.80 fof(f2539,plain,(
% 2.64/0.80 ![X0]: (c_less(c_Suc(c_Suc(X0)),c_Suc(X0),tc_nat)|~spl0_144)),
% 2.64/0.80 inference(resolution,[status(thm)],[f2469,f25])).
% 2.64/0.80 fof(f2540,plain,(
% 2.64/0.80 $false|~spl0_144),
% 2.64/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2539,f379])).
% 2.64/0.80 fof(f2541,plain,(
% 2.64/0.80 ~spl0_144),
% 2.64/0.80 inference(contradiction_clause,[status(thm)],[f2540])).
% 2.64/0.80 fof(f2990,plain,(
% 2.64/0.80 spl0_154 <=> c_lessequals(c_Suc(c_1),c_0,tc_nat)),
% 2.64/0.80 introduced(split_symbol_definition)).
% 2.64/0.80 fof(f2991,plain,(
% 2.64/0.80 c_lessequals(c_Suc(c_1),c_0,tc_nat)|~spl0_154),
% 2.64/0.80 inference(component_clause,[status(thm)],[f2990])).
% 2.64/0.81 fof(f2995,plain,(
% 2.64/0.81 c_less(c_Suc(c_1),c_Suc(c_0),tc_nat)|~spl0_154),
% 2.64/0.81 inference(resolution,[status(thm)],[f2991,f25])).
% 2.64/0.81 fof(f2996,plain,(
% 2.64/0.81 c_less(c_Suc(c_1),c_1,tc_nat)|~spl0_154),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f20,f2995])).
% 2.64/0.81 fof(f2997,plain,(
% 2.64/0.81 $false|~spl0_154),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2996,f379])).
% 2.64/0.81 fof(f2998,plain,(
% 2.64/0.81 ~spl0_154),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f2997])).
% 2.64/0.81 fof(f3006,plain,(
% 2.64/0.81 spl0_155 <=> c_lessequals(c_0,c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f3008,plain,(
% 2.64/0.81 ~c_lessequals(c_0,c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|spl0_155),
% 2.64/0.81 inference(component_clause,[status(thm)],[f3006])).
% 2.64/0.81 fof(f3023,plain,(
% 2.64/0.81 $false|spl0_155),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f3008,f484])).
% 2.64/0.81 fof(f3024,plain,(
% 2.64/0.81 spl0_155),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f3023])).
% 2.64/0.81 fof(f3712,plain,(
% 2.64/0.81 spl0_164 <=> c_lessequals(c_Binomial_Obinomial(c_1,c_1),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_0,c_0)),c_Suc(c_1)),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f3714,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_1,c_1),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_0,c_0)),c_Suc(c_1)),tc_nat)|spl0_164),
% 2.64/0.81 inference(component_clause,[status(thm)],[f3712])).
% 2.64/0.81 fof(f3715,plain,(
% 2.64/0.81 spl0_165 <=> c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(c_0)),c_Binomial_Obinomial(c_Binomial_Obinomial(c_0,c_0),c_Suc(c_1)),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f3720,plain,(
% 2.64/0.81 spl0_166 <=> c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_0)),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f3722,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_0)),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|spl0_166),
% 2.64/0.81 inference(component_clause,[status(thm)],[f3720])).
% 2.64/0.81 fof(f3723,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_0)),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(c_0)),c_Binomial_Obinomial(c_Binomial_Obinomial(c_0,c_0),c_Suc(c_1)),tc_nat)),
% 2.64/0.81 inference(paramodulation,[status(thm)],[f19,f1068])).
% 2.64/0.81 fof(f3724,plain,(
% 2.64/0.81 ~spl0_166|spl0_165),
% 2.64/0.81 inference(split_clause,[status(thm)],[f3723,f3720,f3715])).
% 2.64/0.81 fof(f3725,plain,(
% 2.64/0.81 spl0_167 <=> c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(c_1)),c_Binomial_Obinomial(c_Binomial_Obinomial(c_0,c_1),c_Suc(c_1)),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f3728,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(c_1)),c_Binomial_Obinomial(c_Binomial_Obinomial(c_0,c_1),c_Suc(c_1)),tc_nat)),
% 2.64/0.81 inference(paramodulation,[status(thm)],[f32,f1068])).
% 2.64/0.81 fof(f3729,plain,(
% 2.64/0.81 ~spl0_56|spl0_167),
% 2.64/0.81 inference(split_clause,[status(thm)],[f3728,f1039,f3725])).
% 2.64/0.81 fof(f3730,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_1,c_1),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|spl0_166),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f20,f3722])).
% 2.64/0.81 fof(f3731,plain,(
% 2.64/0.81 ~c_lessequals(c_1,c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|spl0_166),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f32,f3730])).
% 2.64/0.81 fof(f3732,plain,(
% 2.64/0.81 ~c_lessequals(c_1,c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|spl0_166),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f453,f3731])).
% 2.64/0.81 fof(f3733,plain,(
% 2.64/0.81 $false|spl0_166),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f3732,f362])).
% 2.64/0.81 fof(f3734,plain,(
% 2.64/0.81 spl0_166),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f3733])).
% 2.64/0.81 fof(f3735,plain,(
% 2.64/0.81 ~c_lessequals(c_1,c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_0,c_0)),c_Suc(c_1)),tc_nat)|spl0_164),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f32,f3714])).
% 2.64/0.81 fof(f3736,plain,(
% 2.64/0.81 ~c_lessequals(c_1,c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|spl0_164),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f19,f3735])).
% 2.64/0.81 fof(f3737,plain,(
% 2.64/0.81 ~c_lessequals(c_1,c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|spl0_164),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f453,f3736])).
% 2.64/0.81 fof(f3738,plain,(
% 2.64/0.81 $false|spl0_164),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f3737,f362])).
% 2.64/0.81 fof(f3739,plain,(
% 2.64/0.81 spl0_164),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f3738])).
% 2.64/0.81 fof(f3758,plain,(
% 2.64/0.81 spl0_170 <=> c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_0,c_1),c_Suc(c_1)),c_Binomial_Obinomial(c_0,c_Suc(c_1)),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f3761,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_0,c_1),c_Suc(c_1)),c_Binomial_Obinomial(c_0,c_Suc(c_1)),tc_nat)),
% 2.64/0.81 inference(paramodulation,[status(thm)],[f32,f1078])).
% 2.64/0.81 fof(f3762,plain,(
% 2.64/0.81 ~spl0_58|spl0_170),
% 2.64/0.81 inference(split_clause,[status(thm)],[f3761,f1051,f3758])).
% 2.64/0.81 fof(f3819,plain,(
% 2.64/0.81 ![X0,X1]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs)=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_2)),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f57,f55])).
% 2.64/0.81 fof(f3820,plain,(
% 2.64/0.81 ![X0,X1]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_2)),
% 2.64/0.81 inference(forward_demodulation,[status(thm)],[f57,f3819])).
% 2.64/0.81 fof(f3826,plain,(
% 2.64/0.81 spl0_172 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_1))),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f3828,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_1))),tc_nat)|spl0_172),
% 2.64/0.81 inference(component_clause,[status(thm)],[f3826])).
% 2.64/0.81 fof(f3854,plain,(
% 2.64/0.81 $false|spl0_172),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f3828,f33])).
% 2.64/0.81 fof(f3855,plain,(
% 2.64/0.81 spl0_172),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f3854])).
% 2.64/0.81 fof(f4074,plain,(
% 2.64/0.81 spl0_200 <=> c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f4077,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)),
% 2.64/0.81 inference(paramodulation,[status(thm)],[f466,f988])).
% 2.64/0.81 fof(f4078,plain,(
% 2.64/0.81 ~spl0_51|spl0_200),
% 2.64/0.81 inference(split_clause,[status(thm)],[f4077,f997,f4074])).
% 2.64/0.81 fof(f5415,plain,(
% 2.64/0.81 ![X0,X1]: (~c_less(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),X1,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat)|~spl0_5|~spl0_2)),
% 2.64/0.81 inference(paramodulation,[status(thm)],[f167,f28])).
% 2.64/0.81 fof(f5448,plain,(
% 2.64/0.81 spl0_9|~spl0_13),
% 2.64/0.81 inference(split_clause,[status(thm)],[f2193,f109,f168])).
% 2.64/0.81 fof(f6367,plain,(
% 2.64/0.81 spl0_318 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f6369,plain,(
% 2.64/0.81 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),tc_nat)|spl0_318),
% 2.64/0.81 inference(component_clause,[status(thm)],[f6367])).
% 2.64/0.81 fof(f6396,plain,(
% 2.64/0.81 $false|spl0_318),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f6369,f33])).
% 2.64/0.81 fof(f6397,plain,(
% 2.64/0.81 spl0_318),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f6396])).
% 2.64/0.81 fof(f7258,plain,(
% 2.64/0.81 spl0_325 <=> v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f7259,plain,(
% 2.64/0.81 v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_325),
% 2.64/0.81 inference(component_clause,[status(thm)],[f7258])).
% 2.64/0.81 fof(f7361,plain,(
% 2.64/0.81 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_325),
% 2.64/0.81 inference(paramodulation,[status(thm)],[f7259,f28])).
% 2.64/0.81 fof(f7362,plain,(
% 2.64/0.81 $false|~spl0_325),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f7361,f24])).
% 2.64/0.81 fof(f7363,plain,(
% 2.64/0.81 ~spl0_325),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f7362])).
% 2.64/0.81 fof(f7691,plain,(
% 2.64/0.81 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Suc(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),tc_nat)|~spl0_5|~spl0_2)),
% 2.64/0.81 inference(resolution,[status(thm)],[f5415,f24])).
% 2.64/0.81 fof(f7692,plain,(
% 2.64/0.81 spl0_336 <=> ~c_less(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),
% 2.64/0.81 introduced(split_symbol_definition)).
% 2.64/0.81 fof(f7693,plain,(
% 2.64/0.81 ![X0]: (~c_less(v_sko__urX(v_evs_H_H),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_336)),
% 2.64/0.81 inference(component_clause,[status(thm)],[f7692])).
% 2.64/0.81 fof(f7807,plain,(
% 2.64/0.81 ![X0]: (~c_less(v_sko__urX(v_evs_H_H),c_Suc(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_5|~spl0_2)),
% 2.64/0.81 inference(paramodulation,[status(thm)],[f7691,f28])).
% 2.64/0.81 fof(f7808,plain,(
% 2.64/0.81 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_5|~spl0_2)),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f7807,f44])).
% 2.64/0.81 fof(f7863,plain,(
% 2.64/0.81 ![X0,X1]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_5|~spl0_2)),
% 2.64/0.81 inference(backward_demodulation,[status(thm)],[f7808,f3820])).
% 2.64/0.81 fof(f7864,plain,(
% 2.64/0.81 spl0_9|spl0_11|~spl0_5|~spl0_2),
% 2.64/0.81 inference(split_clause,[status(thm)],[f7863,f109,f130,f75,f56])).
% 2.64/0.81 fof(f7919,plain,(
% 2.64/0.81 $false|spl0_55),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f1026,f363])).
% 2.64/0.81 fof(f7920,plain,(
% 2.64/0.81 spl0_55),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f7919])).
% 2.64/0.81 fof(f7933,plain,(
% 2.64/0.81 v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_336),
% 2.64/0.81 inference(resolution,[status(thm)],[f7693,f24])).
% 2.64/0.81 fof(f7934,plain,(
% 2.64/0.81 spl0_325|~spl0_336),
% 2.64/0.81 inference(split_clause,[status(thm)],[f7933,f7258,f7692])).
% 2.64/0.81 fof(f8253,plain,(
% 2.64/0.81 v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)|~spl0_4),
% 2.64/0.81 inference(resolution,[status(thm)],[f114,f24])).
% 2.64/0.81 fof(f8255,plain,(
% 2.64/0.81 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)|~spl0_4),
% 2.64/0.81 inference(paramodulation,[status(thm)],[f8253,f28])).
% 2.64/0.81 fof(f8256,plain,(
% 2.64/0.81 $false|~spl0_8|~spl0_4),
% 2.64/0.81 inference(forward_subsumption_resolution,[status(thm)],[f8255,f107])).
% 2.64/0.81 fof(f8257,plain,(
% 2.64/0.81 ~spl0_8|~spl0_4),
% 2.64/0.81 inference(contradiction_clause,[status(thm)],[f8256])).
% 2.64/0.81 fof(f8258,plain,(
% 2.64/0.81 $false),
% 2.64/0.81 inference(sat_refutation,[status(thm)],[f41,f43,f63,f79,f113,f193,f207,f223,f269,f282,f302,f495,f497,f1004,f1015,f1017,f1023,f1046,f1049,f1058,f1150,f1156,f1162,f1319,f1370,f1379,f1445,f1464,f1505,f1509,f2254,f2258,f2541,f2998,f3024,f3724,f3729,f3734,f3739,f3762,f3855,f4078,f5448,f6397,f7363,f7864,f7920,f7934,f8257])).
% 2.64/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 3.25/0.82 % Elapsed time: 0.498613 seconds
% 3.25/0.82 % CPU time: 3.268018 seconds
% 3.25/0.82 % Memory used: 96.348 MB
%------------------------------------------------------------------------------