TSTP Solution File: SWV282-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n007.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 20:46:31 EDT 2024
% Result : Unsatisfiable 5.14s 1.14s
% Output : CNFRefutation 5.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:39:47 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 5.14/1.14 % Refutation found
% 5.14/1.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.14/1.14 % SZS output start CNFRefutation for theBenchmark
% 5.14/1.14 fof(f1,negated_conjecture,(
% 5.14/1.14 (![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) ) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f2,axiom,(
% 5.14/1.14 (![V_y]: (c_Binomial_Obinomial(V_y,c_Suc(c_0)) = V_y ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f3,axiom,(
% 5.14/1.14 (![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) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f4,axiom,(
% 5.14/1.14 (![V_n]: (c_Binomial_Obinomial(V_n,c_0) = c_1 ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f5,axiom,(
% 5.14/1.14 c_1 = c_Suc(c_0) ),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f6,axiom,(
% 5.14/1.14 (![V_m,V_n]: (( c_minus(V_m,V_n,tc_nat) != c_0| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f7,axiom,(
% 5.14/1.14 (![V_m]: (c_minus(V_m,V_m,tc_nat) = c_0 ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f8,axiom,(
% 5.14/1.14 (![V_n,V_m]: (c_lessequals(V_n,c_plus(V_n,V_m,tc_nat),tc_nat) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f9,axiom,(
% 5.14/1.14 (![V_n]: (c_less(V_n,c_Suc(V_n),tc_nat) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f10,axiom,(
% 5.14/1.14 (![V_m,V_n]: (( ~ c_lessequals(V_m,V_n,tc_nat)| c_less(V_m,c_Suc(V_n),tc_nat) ) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f11,axiom,(
% 5.14/1.14 (![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) ) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f12,axiom,(
% 5.14/1.14 (![V_j,V_i]: (~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f13,axiom,(
% 5.14/1.14 (![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) ) ))),
% 5.14/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.14/1.14 fof(f15,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(miniscoping,[status(esa)],[f1])).
% 5.14/1.14 fof(f16,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f15])).
% 5.14/1.14 fof(f17,plain,(
% 5.14/1.14 ![X0]: (c_Binomial_Obinomial(X0,c_Suc(c_0))=X0)),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f2])).
% 5.14/1.14 fof(f18,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f3])).
% 5.14/1.14 fof(f19,plain,(
% 5.14/1.14 ![X0]: (c_Binomial_Obinomial(X0,c_0)=c_1)),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f4])).
% 5.14/1.14 fof(f20,plain,(
% 5.14/1.14 c_1=c_Suc(c_0)),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f5])).
% 5.14/1.14 fof(f21,plain,(
% 5.14/1.14 ![X0,X1]: (~c_minus(X0,X1,tc_nat)=c_0|c_lessequals(X0,X1,tc_nat))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f6])).
% 5.14/1.14 fof(f22,plain,(
% 5.14/1.14 ![X0]: (c_minus(X0,X0,tc_nat)=c_0)),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f7])).
% 5.14/1.14 fof(f23,plain,(
% 5.14/1.14 ![X0,X1]: (c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f8])).
% 5.14/1.14 fof(f24,plain,(
% 5.14/1.14 ![X0]: (c_less(X0,c_Suc(X0),tc_nat))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f9])).
% 5.14/1.14 fof(f25,plain,(
% 5.14/1.14 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|c_less(X0,c_Suc(X1),tc_nat))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f10])).
% 5.14/1.14 fof(f26,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(miniscoping,[status(esa)],[f11])).
% 5.14/1.14 fof(f27,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f26])).
% 5.14/1.14 fof(f28,plain,(
% 5.14/1.14 ![X0,X1]: (~c_less(c_plus(X0,X1,tc_nat),X1,tc_nat))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f12])).
% 5.14/1.14 fof(f29,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(cnf_transformation,[status(esa)],[f13])).
% 5.14/1.14 fof(f31,plain,(
% 5.14/1.14 ![X0]: (c_Binomial_Obinomial(X0,c_1)=X0)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f20,f17])).
% 5.14/1.14 fof(f32,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f19,f18])).
% 5.14/1.14 fof(f33,plain,(
% 5.14/1.14 ![X0]: (c_Binomial_Obinomial(c_Suc(X0),c_1)=c_plus(c_1,c_Binomial_Obinomial(X0,c_Suc(c_0)),tc_nat))),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f20,f32])).
% 5.14/1.14 fof(f34,plain,(
% 5.14/1.14 ![X0]: (c_Suc(X0)=c_plus(c_1,c_Binomial_Obinomial(X0,c_Suc(c_0)),tc_nat))),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f31,f33])).
% 5.14/1.14 fof(f35,plain,(
% 5.14/1.14 ![X0]: (c_Suc(X0)=c_plus(c_1,c_Binomial_Obinomial(X0,c_1),tc_nat))),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f20,f34])).
% 5.14/1.14 fof(f36,plain,(
% 5.14/1.14 ![X0]: (c_Suc(X0)=c_plus(c_1,X0,tc_nat))),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f31,f35])).
% 5.14/1.14 fof(f37,plain,(
% 5.14/1.14 ![X0]: (c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_1))=c_plus(X0,c_Binomial_Obinomial(X0,c_Suc(c_1)),tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f31,f18])).
% 5.14/1.14 fof(f44,plain,(
% 5.14/1.14 ![X0]: (c_lessequals(c_1,c_Suc(X0),tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f36,f23])).
% 5.14/1.14 fof(f45,plain,(
% 5.14/1.14 ![X0,X1]: (c_lessequals(c_Binomial_Obinomial(X0,X1),c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)),tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f18,f23])).
% 5.14/1.14 fof(f47,plain,(
% 5.14/1.14 ![X0]: (~c_less(c_Suc(X0),X0,tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f36,f28])).
% 5.14/1.14 fof(f48,plain,(
% 5.14/1.14 ![X0,X1]: (~c_less(c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)),c_Binomial_Obinomial(X0,c_Suc(X1)),tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f18,f28])).
% 5.14/1.14 fof(f50,plain,(
% 5.14/1.14 ![X0]: (c_lessequals(X0,X0,tc_nat))),
% 5.14/1.14 inference(resolution,[status(thm)],[f21,f22])).
% 5.14/1.14 fof(f51,plain,(
% 5.14/1.14 spl0_0 <=> c_0=c_0),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f53,plain,(
% 5.14/1.14 ~c_0=c_0|spl0_0),
% 5.14/1.14 inference(component_clause,[status(thm)],[f51])).
% 5.14/1.14 fof(f54,plain,(
% 5.14/1.14 spl0_1 <=> c_lessequals(X0,X0,tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f57,plain,(
% 5.14/1.14 ![X0]: (~c_0=c_0|c_lessequals(X0,X0,tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f22,f21])).
% 5.14/1.14 fof(f58,plain,(
% 5.14/1.14 ~spl0_0|spl0_1),
% 5.14/1.14 inference(split_clause,[status(thm)],[f57,f51,f54])).
% 5.14/1.14 fof(f59,plain,(
% 5.14/1.14 $false|spl0_0),
% 5.14/1.14 inference(trivial_equality_resolution,[status(esa)],[f53])).
% 5.14/1.14 fof(f60,plain,(
% 5.14/1.14 spl0_0),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f59])).
% 5.14/1.14 fof(f62,plain,(
% 5.14/1.14 ![X0,X1]: (c_less(X0,c_Suc(c_plus(X0,X1,tc_nat)),tc_nat))),
% 5.14/1.14 inference(resolution,[status(thm)],[f25,f23])).
% 5.14/1.14 fof(f66,plain,(
% 5.14/1.14 ![X0,X1]: (c_less(c_Binomial_Obinomial(X0,X1),c_Suc(c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1))),tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f18,f62])).
% 5.14/1.14 fof(f71,plain,(
% 5.14/1.14 ![X0]: (c_lessequals(X0,c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_1)),tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f31,f45])).
% 5.14/1.14 fof(f76,plain,(
% 5.14/1.14 ![X0]: (c_less(X0,c_Suc(c_Binomial_Obinomial(c_Suc(X0),c_Suc(c_1))),tc_nat))),
% 5.14/1.14 inference(resolution,[status(thm)],[f71,f25])).
% 5.14/1.14 fof(f88,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(resolution,[status(thm)],[f29,f16])).
% 5.14/1.14 fof(f89,plain,(
% 5.14/1.14 ![X0,X1,X2]: (~c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)|X1=X2|X0=X2|X1=X0|c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg))),
% 5.14/1.14 inference(resolution,[status(thm)],[f29,f16])).
% 5.14/1.14 fof(f93,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(resolution,[status(thm)],[f88,f50])).
% 5.14/1.14 fof(f94,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(resolution,[status(thm)],[f93,f29])).
% 5.14/1.14 fof(f95,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(resolution,[status(thm)],[f93,f29])).
% 5.14/1.14 fof(f96,plain,(
% 5.14/1.14 spl0_2 <=> v_sko__urX(v_evs)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f97,plain,(
% 5.14/1.14 v_sko__urX(v_evs)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|~spl0_2),
% 5.14/1.14 inference(component_clause,[status(thm)],[f96])).
% 5.14/1.14 fof(f99,plain,(
% 5.14/1.14 spl0_3 <=> X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|v_sko__urX(v_evs)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f100,plain,(
% 5.14/1.14 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|v_sko__urX(v_evs)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_3)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f99])).
% 5.14/1.14 fof(f102,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|v_sko__urX(v_evs)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg))),
% 5.14/1.14 inference(resolution,[status(thm)],[f94,f71])).
% 5.14/1.14 fof(f103,plain,(
% 5.14/1.14 spl0_2|spl0_3),
% 5.14/1.14 inference(split_clause,[status(thm)],[f102,f96,f99])).
% 5.14/1.14 fof(f104,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(resolution,[status(thm)],[f94,f23])).
% 5.14/1.14 fof(f105,plain,(
% 5.14/1.14 spl0_4 <=> v_sko__urX(v_evs)=v_sko__urX(v_evs_H_H)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f106,plain,(
% 5.14/1.14 v_sko__urX(v_evs)=v_sko__urX(v_evs_H_H)|~spl0_4),
% 5.14/1.14 inference(component_clause,[status(thm)],[f105])).
% 5.14/1.14 fof(f108,plain,(
% 5.14/1.14 spl0_5 <=> 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)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f109,plain,(
% 5.14/1.14 ![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_5)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f108])).
% 5.14/1.14 fof(f111,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(resolution,[status(thm)],[f94,f50])).
% 5.14/1.14 fof(f112,plain,(
% 5.14/1.14 spl0_4|spl0_5),
% 5.14/1.14 inference(split_clause,[status(thm)],[f111,f105,f108])).
% 5.14/1.14 fof(f113,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|~spl0_4|~spl0_2),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f106,f97])).
% 5.14/1.14 fof(f114,plain,(
% 5.14/1.14 ![X0,X1]: (v_sko__urX(v_evs)=X0|X1=X0|v_sko__urX(v_evs_H_H)=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)|~spl0_4)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f106,f94])).
% 5.14/1.14 fof(f115,plain,(
% 5.14/1.14 ![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(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f106,f114])).
% 5.14/1.14 fof(f119,plain,(
% 5.14/1.14 ![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_H_H)=X1|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_4)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f106,f104])).
% 5.14/1.14 fof(f120,plain,(
% 5.14/1.14 ![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_4)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f106,f119])).
% 5.14/1.14 fof(f121,plain,(
% 5.14/1.14 ![X0,X1]: (v_sko__urX(v_evs)=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_4)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f106,f95])).
% 5.14/1.14 fof(f122,plain,(
% 5.14/1.14 ![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_4)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f106,f121])).
% 5.14/1.14 fof(f136,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))=c_plus(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f113,f18])).
% 5.14/1.14 fof(f139,plain,(
% 5.14/1.14 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H)=X1|X0=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg))),
% 5.14/1.14 inference(resolution,[status(thm)],[f89,f50])).
% 5.14/1.14 fof(f155,plain,(
% 5.14/1.14 spl0_6 <=> v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f156,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|~spl0_6),
% 5.14/1.14 inference(component_clause,[status(thm)],[f155])).
% 5.14/1.14 fof(f157,plain,(
% 5.14/1.14 ~v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|spl0_6),
% 5.14/1.14 inference(component_clause,[status(thm)],[f155])).
% 5.14/1.14 fof(f163,plain,(
% 5.14/1.14 spl0_8 <=> v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f164,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|~spl0_8),
% 5.14/1.14 inference(component_clause,[status(thm)],[f163])).
% 5.14/1.14 fof(f166,plain,(
% 5.14/1.14 spl0_9 <=> X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|v_sko__urX(v_evs_H_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f167,plain,(
% 5.14/1.14 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|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_9)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f166])).
% 5.14/1.14 fof(f169,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|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_4)),
% 5.14/1.14 inference(resolution,[status(thm)],[f115,f71])).
% 5.14/1.14 fof(f170,plain,(
% 5.14/1.14 spl0_8|spl0_9|~spl0_4),
% 5.14/1.14 inference(split_clause,[status(thm)],[f169,f163,f166,f105])).
% 5.14/1.14 fof(f172,plain,(
% 5.14/1.14 spl0_10 <=> v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f175,plain,(
% 5.14/1.14 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)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f176,plain,(
% 5.14/1.14 ![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)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f175])).
% 5.14/1.14 fof(f178,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|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_4)),
% 5.14/1.14 inference(resolution,[status(thm)],[f115,f50])).
% 5.14/1.14 fof(f179,plain,(
% 5.14/1.14 spl0_10|spl0_11|~spl0_4),
% 5.14/1.14 inference(split_clause,[status(thm)],[f178,f172,f175,f105])).
% 5.14/1.14 fof(f180,plain,(
% 5.14/1.14 ![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_8|~spl0_3)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f164,f100])).
% 5.14/1.14 fof(f181,plain,(
% 5.14/1.14 ![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_4|~spl0_8|~spl0_3)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f106,f180])).
% 5.14/1.14 fof(f182,plain,(
% 5.14/1.14 ![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_4|~spl0_8|~spl0_3)),
% 5.14/1.14 inference(duplicate_literals_removal,[status(esa)],[f181])).
% 5.14/1.14 fof(f197,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_4|~spl0_8|~spl0_3)),
% 5.14/1.14 inference(resolution,[status(thm)],[f182,f29])).
% 5.14/1.14 fof(f199,plain,(
% 5.14/1.14 ![X0]: (c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_4|~spl0_8|~spl0_3)),
% 5.14/1.14 inference(resolution,[status(thm)],[f197,f23])).
% 5.14/1.14 fof(f200,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H)=v_sko__urX(v_evs_H_H)|~spl0_4|~spl0_8|~spl0_3),
% 5.14/1.14 inference(resolution,[status(thm)],[f197,f50])).
% 5.14/1.14 fof(f207,plain,(
% 5.14/1.14 ![X0]: (c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_4|~spl0_8|~spl0_3)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f200,f199])).
% 5.14/1.14 fof(f218,plain,(
% 5.14/1.14 ![X0]: (~c_less(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4|~spl0_8|~spl0_3)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f207,f28])).
% 5.14/1.14 fof(f220,plain,(
% 5.14/1.14 $false|~spl0_4|~spl0_8|~spl0_3),
% 5.14/1.14 inference(resolution,[status(thm)],[f218,f76])).
% 5.14/1.14 fof(f221,plain,(
% 5.14/1.14 ~spl0_4|~spl0_8|~spl0_3),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f220])).
% 5.14/1.14 fof(f223,plain,(
% 5.14/1.14 spl0_8|~spl0_4|~spl0_2),
% 5.14/1.14 inference(split_clause,[status(thm)],[f113,f163,f105,f96])).
% 5.14/1.14 fof(f224,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f156,f136])).
% 5.14/1.14 fof(f262,plain,(
% 5.14/1.14 spl0_12 <=> v_sko__urX(v_evs_H_H)=X0|c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f263,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=X0|c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~spl0_12)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f262])).
% 5.14/1.14 fof(f265,plain,(
% 5.14/1.14 spl0_13 <=> v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f266,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))|~spl0_13),
% 5.14/1.14 inference(component_clause,[status(thm)],[f265])).
% 5.14/1.14 fof(f268,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=X0|c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))=X0|v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~spl0_4)),
% 5.14/1.14 inference(resolution,[status(thm)],[f122,f71])).
% 5.14/1.14 fof(f269,plain,(
% 5.14/1.14 spl0_12|spl0_13|~spl0_4),
% 5.14/1.14 inference(split_clause,[status(thm)],[f268,f262,f265,f105])).
% 5.14/1.14 fof(f271,plain,(
% 5.14/1.14 spl0_14 <=> 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)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f272,plain,(
% 5.14/1.14 ![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_14)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f271])).
% 5.14/1.14 fof(f274,plain,(
% 5.14/1.14 spl0_15 <=> v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f275,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H)|~spl0_15),
% 5.14/1.14 inference(component_clause,[status(thm)],[f274])).
% 5.14/1.14 fof(f277,plain,(
% 5.14/1.14 ![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_4)),
% 5.14/1.14 inference(resolution,[status(thm)],[f122,f50])).
% 5.14/1.14 fof(f278,plain,(
% 5.14/1.14 spl0_14|spl0_15|~spl0_4),
% 5.14/1.14 inference(split_clause,[status(thm)],[f277,f271,f274,f105])).
% 5.14/1.14 fof(f285,plain,(
% 5.14/1.14 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H)=X1|X0=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat))),
% 5.14/1.14 inference(resolution,[status(thm)],[f139,f29])).
% 5.14/1.14 fof(f286,plain,(
% 5.14/1.14 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H)=X1|X0=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs),X0,tc_nat))),
% 5.14/1.14 inference(resolution,[status(thm)],[f139,f29])).
% 5.14/1.14 fof(f287,plain,(
% 5.14/1.14 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H)=X1|X0=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f106,f286])).
% 5.14/1.14 fof(f291,plain,(
% 5.14/1.14 ![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_14)),
% 5.14/1.14 inference(resolution,[status(thm)],[f272,f29])).
% 5.14/1.14 fof(f292,plain,(
% 5.14/1.14 spl0_16 <=> v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f293,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))|~spl0_16),
% 5.14/1.14 inference(component_clause,[status(thm)],[f292])).
% 5.14/1.14 fof(f300,plain,(
% 5.14/1.14 spl0_18 <=> v_sko__urX(v_evs_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f301,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|~spl0_18),
% 5.14/1.14 inference(component_clause,[status(thm)],[f300])).
% 5.14/1.14 fof(f303,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|v_sko__urX(v_evs_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|~spl0_14),
% 5.14/1.14 inference(resolution,[status(thm)],[f291,f71])).
% 5.14/1.14 fof(f304,plain,(
% 5.14/1.14 spl0_8|spl0_18|~spl0_14),
% 5.14/1.14 inference(split_clause,[status(thm)],[f303,f163,f300,f271])).
% 5.14/1.14 fof(f305,plain,(
% 5.14/1.14 ![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_14)),
% 5.14/1.14 inference(resolution,[status(thm)],[f291,f23])).
% 5.14/1.14 fof(f333,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=X0|c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~spl0_15|~spl0_12)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f275,f263])).
% 5.14/1.14 fof(f334,plain,(
% 5.14/1.14 ![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_8|~spl0_15|~spl0_12)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f164,f333])).
% 5.14/1.14 fof(f348,plain,(
% 5.14/1.14 spl0_19 <=> v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f349,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_19)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f348])).
% 5.14/1.14 fof(f363,plain,(
% 5.14/1.14 ![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)),
% 5.14/1.14 inference(duplicate_literals_removal,[status(esa)],[f176])).
% 5.14/1.14 fof(f409,plain,(
% 5.14/1.14 ![X0]: (~c_less(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_19)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f349,f28])).
% 5.14/1.14 fof(f411,plain,(
% 5.14/1.14 $false|~spl0_19),
% 5.14/1.14 inference(resolution,[status(thm)],[f409,f76])).
% 5.14/1.14 fof(f412,plain,(
% 5.14/1.14 ~spl0_19),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f411])).
% 5.14/1.14 fof(f435,plain,(
% 5.14/1.14 ![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_8|~spl0_15|~spl0_12)),
% 5.14/1.14 inference(duplicate_literals_removal,[status(esa)],[f334])).
% 5.14/1.14 fof(f457,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=X0|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_8|~spl0_15|~spl0_12)),
% 5.14/1.14 inference(resolution,[status(thm)],[f435,f29])).
% 5.14/1.14 fof(f459,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_8|~spl0_15|~spl0_12)),
% 5.14/1.14 inference(resolution,[status(thm)],[f457,f23])).
% 5.14/1.14 fof(f460,plain,(
% 5.14/1.14 spl0_19|~spl0_8|~spl0_15|~spl0_12),
% 5.14/1.14 inference(split_clause,[status(thm)],[f459,f348,f163,f274,f262])).
% 5.14/1.14 fof(f471,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_11)),
% 5.14/1.14 inference(resolution,[status(thm)],[f363,f29])).
% 5.14/1.14 fof(f473,plain,(
% 5.14/1.14 ![X0]: (c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_11)),
% 5.14/1.14 inference(resolution,[status(thm)],[f471,f23])).
% 5.14/1.14 fof(f474,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H)=v_sko__urX(v_evs_H_H)|~spl0_11),
% 5.14/1.14 inference(resolution,[status(thm)],[f471,f50])).
% 5.14/1.14 fof(f475,plain,(
% 5.14/1.14 spl0_15|~spl0_11),
% 5.14/1.14 inference(split_clause,[status(thm)],[f474,f274,f175])).
% 5.14/1.14 fof(f518,plain,(
% 5.14/1.14 c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)|~spl0_2),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f97,f76])).
% 5.14/1.14 fof(f522,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_1))=c_plus(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_1),v_sko__urX(v_evs),tc_nat)|~spl0_2),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f97,f18])).
% 5.14/1.14 fof(f523,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_1))=c_plus(c_Suc(v_sko__urX(v_evs_H_H)),v_sko__urX(v_evs),tc_nat)|~spl0_2),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f31,f522])).
% 5.14/1.14 fof(f525,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))=c_plus(v_sko__urX(v_evs),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_2),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f97,f18])).
% 5.14/1.14 fof(f528,plain,(
% 5.14/1.14 ![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_5)),
% 5.14/1.14 inference(resolution,[status(thm)],[f109,f29])).
% 5.14/1.14 fof(f529,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=X0|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_15|~spl0_5)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f275,f528])).
% 5.14/1.14 fof(f535,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|~spl0_15|~spl0_5),
% 5.14/1.14 inference(resolution,[status(thm)],[f529,f71])).
% 5.14/1.14 fof(f536,plain,(
% 5.14/1.14 spl0_8|spl0_2|~spl0_15|~spl0_5),
% 5.14/1.14 inference(split_clause,[status(thm)],[f535,f163,f96,f274,f108])).
% 5.14/1.14 fof(f537,plain,(
% 5.14/1.14 ![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_15|~spl0_5)),
% 5.14/1.14 inference(resolution,[status(thm)],[f529,f23])).
% 5.14/1.14 fof(f538,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs)=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_5),
% 5.14/1.14 inference(resolution,[status(thm)],[f529,f50])).
% 5.14/1.14 fof(f539,plain,(
% 5.14/1.14 spl0_10|spl0_4|~spl0_15|~spl0_5),
% 5.14/1.14 inference(split_clause,[status(thm)],[f538,f172,f105,f274,f108])).
% 5.14/1.14 fof(f541,plain,(
% 5.14/1.14 spl0_22 <=> c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f542,plain,(
% 5.14/1.14 c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)|~spl0_22),
% 5.14/1.14 inference(component_clause,[status(thm)],[f541])).
% 5.14/1.14 fof(f544,plain,(
% 5.14/1.14 ![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_15|~spl0_5)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f537,f62])).
% 5.14/1.14 fof(f545,plain,(
% 5.14/1.14 spl0_22|spl0_19|~spl0_15|~spl0_5),
% 5.14/1.14 inference(split_clause,[status(thm)],[f544,f541,f348,f274,f108])).
% 5.14/1.14 fof(f546,plain,(
% 5.14/1.14 ![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_15|~spl0_5)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f537,f28])).
% 5.14/1.14 fof(f556,plain,(
% 5.14/1.14 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_15|~spl0_5),
% 5.14/1.14 inference(resolution,[status(thm)],[f546,f24])).
% 5.14/1.14 fof(f565,plain,(
% 5.14/1.14 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat)|~spl0_15|~spl0_5),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f556,f28])).
% 5.14/1.14 fof(f566,plain,(
% 5.14/1.14 $false|~spl0_2|~spl0_15|~spl0_5),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f565,f518])).
% 5.14/1.14 fof(f567,plain,(
% 5.14/1.14 ~spl0_2|~spl0_15|~spl0_5),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f566])).
% 5.14/1.14 fof(f599,plain,(
% 5.14/1.14 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|v_sko__urX(v_evs_H_H)=X0|~c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_9)),
% 5.14/1.14 inference(resolution,[status(thm)],[f167,f29])).
% 5.14/1.14 fof(f600,plain,(
% 5.14/1.14 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|v_sko__urX(v_evs_H_H)=X0|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_15|~spl0_9)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f275,f599])).
% 5.14/1.14 fof(f606,plain,(
% 5.14/1.14 ![X0]: (c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_15|~spl0_9)),
% 5.14/1.14 inference(resolution,[status(thm)],[f600,f23])).
% 5.14/1.14 fof(f609,plain,(
% 5.14/1.14 spl0_26 <=> X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f610,plain,(
% 5.14/1.14 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~spl0_26)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f609])).
% 5.14/1.14 fof(f615,plain,(
% 5.14/1.14 spl0_27 <=> X0=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f616,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~spl0_27)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f615])).
% 5.14/1.14 fof(f621,plain,(
% 5.14/1.14 spl0_28 <=> c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))=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)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f622,plain,(
% 5.14/1.14 ![X0]: (c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))=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_28)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f621])).
% 5.14/1.14 fof(f627,plain,(
% 5.14/1.14 spl0_29 <=> 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)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f628,plain,(
% 5.14/1.14 ![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_29)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f627])).
% 5.14/1.14 fof(f653,plain,(
% 5.14/1.14 ![X0]: (~c_less(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_15|~spl0_9)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f606,f28])).
% 5.14/1.14 fof(f654,plain,(
% 5.14/1.14 spl0_31 <=> 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)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f671,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Suc(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),tc_nat)|~spl0_15|~spl0_9),
% 5.14/1.14 inference(resolution,[status(thm)],[f653,f24])).
% 5.14/1.14 fof(f682,plain,(
% 5.14/1.14 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),tc_nat)|~spl0_15|~spl0_9),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f671,f28])).
% 5.14/1.14 fof(f683,plain,(
% 5.14/1.14 $false|~spl0_15|~spl0_9),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f682,f76])).
% 5.14/1.14 fof(f684,plain,(
% 5.14/1.14 ~spl0_15|~spl0_9),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f683])).
% 5.14/1.14 fof(f752,plain,(
% 5.14/1.14 spl0_33 <=> v_sko__urX(v_evs)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f753,plain,(
% 5.14/1.14 v_sko__urX(v_evs)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))|~spl0_33),
% 5.14/1.14 inference(component_clause,[status(thm)],[f752])).
% 5.14/1.14 fof(f754,plain,(
% 5.14/1.14 ~v_sko__urX(v_evs)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))|spl0_33),
% 5.14/1.14 inference(component_clause,[status(thm)],[f752])).
% 5.14/1.14 fof(f757,plain,(
% 5.14/1.14 ![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_5)),
% 5.14/1.14 inference(resolution,[status(thm)],[f528,f23])).
% 5.14/1.14 fof(f758,plain,(
% 5.14/1.14 spl0_34 <=> v_sko__urX(v_evs)=v_sko__urX(v_evs_H)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f759,plain,(
% 5.14/1.14 v_sko__urX(v_evs)=v_sko__urX(v_evs_H)|~spl0_34),
% 5.14/1.14 inference(component_clause,[status(thm)],[f758])).
% 5.14/1.14 fof(f760,plain,(
% 5.14/1.14 ~v_sko__urX(v_evs)=v_sko__urX(v_evs_H)|spl0_34),
% 5.14/1.14 inference(component_clause,[status(thm)],[f758])).
% 5.14/1.14 fof(f761,plain,(
% 5.14/1.14 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_5),
% 5.14/1.14 inference(resolution,[status(thm)],[f528,f50])).
% 5.14/1.14 fof(f762,plain,(
% 5.14/1.14 spl0_15|spl0_34|~spl0_5),
% 5.14/1.14 inference(split_clause,[status(thm)],[f761,f274,f758,f108])).
% 5.14/1.14 fof(f776,plain,(
% 5.14/1.14 ![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_34|~spl0_5)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f759,f757])).
% 5.14/1.14 fof(f810,plain,(
% 5.14/1.14 c_less(v_sko__urX(v_evs_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_13),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f266,f76])).
% 5.14/1.14 fof(f841,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))|~spl0_34|~spl0_33),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f759,f753])).
% 5.14/1.14 fof(f842,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H)=v_sko__urX(v_evs_H_H)|~spl0_13|~spl0_34|~spl0_33),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f266,f841])).
% 5.14/1.14 fof(f862,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1))=c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1)))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f36,f37])).
% 5.14/1.14 fof(f875,plain,(
% 5.14/1.14 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)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f862,f37])).
% 5.14/1.14 fof(f876,plain,(
% 5.14/1.14 ~c_less(c_Binomial_Obinomial(c_Suc(c_Suc(c_1)),c_Suc(c_1)),c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f862,f48])).
% 5.14/1.14 fof(f881,plain,(
% 5.14/1.14 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)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f862,f18])).
% 5.14/1.14 fof(f884,plain,(
% 5.14/1.14 ![X0,X1]: (~c_lessequals(c_Suc(X0),c_plus(c_1,X1,tc_nat),tc_nat)|c_lessequals(X0,X1,tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f36,f27])).
% 5.14/1.14 fof(f885,plain,(
% 5.14/1.14 ![X0,X1]: (~c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)|c_lessequals(X0,X1,tc_nat))),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f36,f884])).
% 5.14/1.14 fof(f886,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f18,f27])).
% 5.14/1.14 fof(f887,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f37,f27])).
% 5.14/1.14 fof(f890,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f18,f27])).
% 5.14/1.14 fof(f891,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f37,f27])).
% 5.14/1.14 fof(f895,plain,(
% 5.14/1.14 ![X0]: (~c_lessequals(c_Suc(X0),c_1,tc_nat)|c_lessequals(X0,c_0,tc_nat))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f20,f885])).
% 5.14/1.14 fof(f898,plain,(
% 5.14/1.14 spl0_37 <=> c_lessequals(c_1,c_1,tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f900,plain,(
% 5.14/1.14 ~c_lessequals(c_1,c_1,tc_nat)|spl0_37),
% 5.14/1.14 inference(component_clause,[status(thm)],[f898])).
% 5.14/1.14 fof(f901,plain,(
% 5.14/1.14 spl0_38 <=> c_lessequals(c_0,c_0,tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f904,plain,(
% 5.14/1.14 ~c_lessequals(c_1,c_1,tc_nat)|c_lessequals(c_0,c_0,tc_nat)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f20,f895])).
% 5.14/1.14 fof(f905,plain,(
% 5.14/1.14 ~spl0_37|spl0_38),
% 5.14/1.14 inference(split_clause,[status(thm)],[f904,f898,f901])).
% 5.14/1.14 fof(f906,plain,(
% 5.14/1.14 $false|spl0_37),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f900,f50])).
% 5.14/1.14 fof(f907,plain,(
% 5.14/1.14 spl0_37),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f906])).
% 5.14/1.14 fof(f908,plain,(
% 5.14/1.14 spl0_39 <=> v_sko__urX(v_evs_H)=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f909,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H)=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|~spl0_39),
% 5.14/1.14 inference(component_clause,[status(thm)],[f908])).
% 5.14/1.14 fof(f937,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))=c_plus(v_sko__urX(v_evs_H),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_39),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f909,f18])).
% 5.14/1.14 fof(f960,plain,(
% 5.14/1.14 ![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_29)),
% 5.14/1.14 inference(duplicate_literals_removal,[status(esa)],[f628])).
% 5.14/1.14 fof(f961,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~spl0_27)),
% 5.14/1.14 inference(duplicate_literals_removal,[status(esa)],[f616])).
% 5.14/1.14 fof(f971,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=X0|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_29)),
% 5.14/1.14 inference(resolution,[status(thm)],[f960,f29])).
% 5.14/1.14 fof(f975,plain,(
% 5.14/1.14 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_29)),
% 5.14/1.14 inference(resolution,[status(thm)],[f971,f23])).
% 5.14/1.14 fof(f976,plain,(
% 5.14/1.14 spl0_19|~spl0_29),
% 5.14/1.14 inference(split_clause,[status(thm)],[f975,f348,f627])).
% 5.14/1.14 fof(f980,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs),X0,tc_nat)|~spl0_27)),
% 5.14/1.14 inference(resolution,[status(thm)],[f961,f29])).
% 5.14/1.14 fof(f981,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)|~spl0_34|~spl0_27)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f759,f980])).
% 5.14/1.14 fof(f982,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))=v_sko__urX(v_evs_H_H)|~spl0_34|~spl0_27),
% 5.14/1.14 inference(resolution,[status(thm)],[f981,f71])).
% 5.14/1.14 fof(f983,plain,(
% 5.14/1.14 spl0_13|~spl0_34|~spl0_27),
% 5.14/1.14 inference(split_clause,[status(thm)],[f982,f265,f758,f615])).
% 5.14/1.14 fof(f985,plain,(
% 5.14/1.14 v_sko__urX(v_evs_H)=v_sko__urX(v_evs_H_H)|~spl0_34|~spl0_27),
% 5.14/1.14 inference(resolution,[status(thm)],[f981,f50])).
% 5.14/1.14 fof(f986,plain,(
% 5.14/1.14 spl0_15|~spl0_34|~spl0_27),
% 5.14/1.14 inference(split_clause,[status(thm)],[f985,f274,f758,f615])).
% 5.14/1.14 fof(f1000,plain,(
% 5.14/1.14 spl0_42 <=> c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f1001,plain,(
% 5.14/1.14 ![X0]: (c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_42)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1000])).
% 5.14/1.14 fof(f1014,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))=v_sko__urX(v_evs_H_H)|~spl0_42|~spl0_39),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f1001,f937])).
% 5.14/1.14 fof(f1066,plain,(
% 5.14/1.14 ![X0,X1]: (~c_lessequals(v_sko__urX(v_evs_H),c_plus(v_sko__urX(v_evs_H),X0,tc_nat),tc_nat)|c_lessequals(X1,X0,tc_nat)|c_plus(v_sko__urX(v_evs_H),X1,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_34|~spl0_5)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f776,f27])).
% 5.14/1.14 fof(f1067,plain,(
% 5.14/1.14 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_34|~spl0_5)),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f1066,f23])).
% 5.14/1.14 fof(f1073,plain,(
% 5.14/1.14 ![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_34|~spl0_5)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f776,f28])).
% 5.14/1.14 fof(f1108,plain,(
% 5.14/1.14 spl0_47 <=> c_lessequals(X0,X1,tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f1109,plain,(
% 5.14/1.14 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~spl0_47)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1108])).
% 5.14/1.14 fof(f1152,plain,(
% 5.14/1.14 $false|~spl0_15|~spl0_5|~spl0_22),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f542,f565])).
% 5.14/1.14 fof(f1153,plain,(
% 5.14/1.14 ~spl0_15|~spl0_5|~spl0_22),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f1152])).
% 5.14/1.14 fof(f1170,plain,(
% 5.14/1.14 ![X0,X1]: (c_less(X0,c_Suc(X1),tc_nat)|~spl0_47)),
% 5.14/1.14 inference(backward_subsumption_resolution,[status(thm)],[f25,f1109])).
% 5.14/1.14 fof(f1198,plain,(
% 5.14/1.14 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=X1|X0=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_15|~spl0_4)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f275,f287])).
% 5.14/1.14 fof(f1226,plain,(
% 5.14/1.14 $false|~spl0_47),
% 5.14/1.14 inference(backward_subsumption_resolution,[status(thm)],[f876,f1170])).
% 5.14/1.14 fof(f1227,plain,(
% 5.14/1.14 ~spl0_47),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f1226])).
% 5.14/1.14 fof(f1237,plain,(
% 5.14/1.14 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=X1|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_15|~spl0_4)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f275,f1198])).
% 5.14/1.14 fof(f1265,plain,(
% 5.14/1.14 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=X1|X0=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)|~spl0_15)),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f275,f285])).
% 5.14/1.14 fof(f1270,plain,(
% 5.14/1.14 ![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_8|~spl0_28)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f164,f622])).
% 5.14/1.14 fof(f1271,plain,(
% 5.14/1.14 spl0_29|~spl0_8|~spl0_28),
% 5.14/1.14 inference(split_clause,[status(thm)],[f1270,f627,f163,f621])).
% 5.14/1.14 fof(f1272,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~spl0_8|~spl0_26)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f164,f610])).
% 5.14/1.14 fof(f1273,plain,(
% 5.14/1.14 spl0_27|~spl0_8|~spl0_26),
% 5.14/1.14 inference(split_clause,[status(thm)],[f1272,f615,f163,f609])).
% 5.14/1.14 fof(f1388,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f20,f886])).
% 5.14/1.14 fof(f1396,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f37,f886])).
% 5.14/1.14 fof(f1397,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f862,f886])).
% 5.14/1.14 fof(f1406,plain,(
% 5.14/1.14 ![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))),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f37,f890])).
% 5.14/1.14 fof(f1469,plain,(
% 5.14/1.14 spl0_52 <=> c_plus(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat)=v_sko__urX(v_evs_H_H)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f1470,plain,(
% 5.14/1.14 c_plus(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_52),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1469])).
% 5.14/1.14 fof(f1471,plain,(
% 5.14/1.14 ~c_plus(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat)=v_sko__urX(v_evs_H_H)|spl0_52),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1469])).
% 5.14/1.14 fof(f1480,plain,(
% 5.14/1.14 ![X0,X1]: (c_plus(v_sko__urX(v_evs_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|c_less(X0,c_Suc(X1),tc_nat)|~spl0_34|~spl0_5)),
% 5.14/1.14 inference(resolution,[status(thm)],[f1067,f25])).
% 5.14/1.14 fof(f1485,plain,(
% 5.14/1.14 ![X0]: (~c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H),X0,tc_nat),tc_nat)|c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_52)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f1470,f27])).
% 5.14/1.14 fof(f1523,plain,(
% 5.14/1.14 ![X0,X1]: (c_plus(v_sko__urX(v_evs_H),c_plus(X0,c_Suc(X1),tc_nat),tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_34|~spl0_5)),
% 5.14/1.14 inference(resolution,[status(thm)],[f1480,f28])).
% 5.14/1.14 fof(f1538,plain,(
% 5.14/1.14 ![X0]: (c_plus(v_sko__urX(v_evs_H),c_plus(X0,c_1,tc_nat),tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_34|~spl0_5)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f20,f1523])).
% 5.14/1.14 fof(f1580,plain,(
% 5.14/1.14 c_less(v_sko__urX(v_evs_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_34|~spl0_5),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f1538,f62])).
% 5.14/1.14 fof(f1626,plain,(
% 5.14/1.14 spl0_57 <=> c_less(X0,c_1,tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f1627,plain,(
% 5.14/1.14 ![X0]: (c_less(X0,c_1,tc_nat)|~spl0_57)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1626])).
% 5.14/1.14 fof(f1631,plain,(
% 5.14/1.14 spl0_58 <=> c_less(X0,c_Suc(X1),tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f1632,plain,(
% 5.14/1.14 ![X0,X1]: (c_less(X0,c_Suc(X1),tc_nat)|~spl0_58)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1631])).
% 5.14/1.14 fof(f1640,plain,(
% 5.14/1.14 spl0_59 <=> c_lessequals(c_Binomial_Obinomial(X0,c_Suc(X1)),X2,tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f1641,plain,(
% 5.14/1.14 ![X0,X1,X2]: (c_lessequals(c_Binomial_Obinomial(X0,c_Suc(X1)),X2,tc_nat)|~spl0_59)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1640])).
% 5.14/1.14 fof(f1645,plain,(
% 5.14/1.14 spl0_60 <=> c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f1647,plain,(
% 5.14/1.14 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|spl0_60),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1645])).
% 5.14/1.14 fof(f1688,plain,(
% 5.14/1.14 spl0_69 <=> c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f1689,plain,(
% 5.14/1.14 ![X0]: (c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_69)),
% 5.14/1.14 inference(component_clause,[status(thm)],[f1688])).
% 5.14/1.14 fof(f1691,plain,(
% 5.14/1.14 ![X0]: (~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_42|~spl0_52)),
% 5.14/1.14 inference(backward_demodulation,[status(thm)],[f1001,f1485])).
% 5.14/1.14 fof(f1692,plain,(
% 5.14/1.14 ~spl0_60|spl0_69|~spl0_42|~spl0_52),
% 5.14/1.14 inference(split_clause,[status(thm)],[f1691,f1645,f1688,f1000,f1469])).
% 5.14/1.14 fof(f1740,plain,(
% 5.14/1.14 $false|spl0_60),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f1647,f50])).
% 5.14/1.14 fof(f1741,plain,(
% 5.14/1.14 spl0_60),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f1740])).
% 5.14/1.14 fof(f1748,plain,(
% 5.14/1.14 ~v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|~spl0_42|spl0_52),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f1001,f1471])).
% 5.14/1.14 fof(f1749,plain,(
% 5.14/1.14 $false|~spl0_42|spl0_52),
% 5.14/1.14 inference(trivial_equality_resolution,[status(esa)],[f1748])).
% 5.14/1.14 fof(f1750,plain,(
% 5.14/1.14 ~spl0_42|spl0_52),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f1749])).
% 5.14/1.14 fof(f1891,plain,(
% 5.14/1.14 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_34|~spl0_5),
% 5.14/1.14 inference(resolution,[status(thm)],[f1073,f1580])).
% 5.14/1.14 fof(f1904,plain,(
% 5.14/1.14 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_34|~spl0_5),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f1891,f28])).
% 5.14/1.14 fof(f1905,plain,(
% 5.14/1.14 $false|~spl0_34|~spl0_5),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f1904,f24])).
% 5.14/1.14 fof(f1906,plain,(
% 5.14/1.14 ~spl0_34|~spl0_5),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f1905])).
% 5.14/1.14 fof(f1953,plain,(
% 5.14/1.14 c_lessequals(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1),v_sko__urX(v_evs_H),tc_nat)|~spl0_18),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f301,f45])).
% 5.14/1.14 fof(f1954,plain,(
% 5.14/1.14 c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)|~spl0_18),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f31,f1953])).
% 5.14/1.14 fof(f1965,plain,(
% 5.14/1.14 c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)|~spl0_18),
% 5.14/1.14 inference(resolution,[status(thm)],[f1954,f25])).
% 5.14/1.14 fof(f2006,plain,(
% 5.14/1.14 c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),tc_nat)|~spl0_16),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f293,f45])).
% 5.14/1.14 fof(f2048,plain,(
% 5.14/1.14 spl0_74 <=> c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f2049,plain,(
% 5.14/1.14 c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)|~spl0_74),
% 5.14/1.14 inference(component_clause,[status(thm)],[f2048])).
% 5.14/1.14 fof(f2051,plain,(
% 5.14/1.14 ![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_14)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f305,f62])).
% 5.14/1.14 fof(f2052,plain,(
% 5.14/1.14 spl0_74|spl0_19|~spl0_14),
% 5.14/1.14 inference(split_clause,[status(thm)],[f2051,f2048,f348,f271])).
% 5.14/1.14 fof(f2060,plain,(
% 5.14/1.14 ![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_14)),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f305,f28])).
% 5.14/1.14 fof(f2088,plain,(
% 5.14/1.14 spl0_77 <=> X0=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)),
% 5.14/1.14 introduced(split_symbol_definition)).
% 5.14/1.14 fof(f2091,plain,(
% 5.14/1.14 ![X0]: (X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H)=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg))),
% 5.14/1.14 inference(resolution,[status(thm)],[f285,f50])).
% 5.14/1.14 fof(f2092,plain,(
% 5.14/1.14 spl0_77|spl0_15),
% 5.14/1.14 inference(split_clause,[status(thm)],[f2091,f2088,f274])).
% 5.14/1.14 fof(f2169,plain,(
% 5.14/1.14 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_14|~spl0_13),
% 5.14/1.14 inference(resolution,[status(thm)],[f2060,f810])).
% 5.14/1.14 fof(f2173,plain,(
% 5.14/1.14 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_14),
% 5.14/1.14 inference(resolution,[status(thm)],[f2060,f24])).
% 5.14/1.14 fof(f2186,plain,(
% 5.14/1.14 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H_H)),tc_nat)|~spl0_14|~spl0_13),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f2169,f28])).
% 5.14/1.14 fof(f2187,plain,(
% 5.14/1.14 $false|~spl0_14|~spl0_13),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f2186,f24])).
% 5.14/1.14 fof(f2188,plain,(
% 5.14/1.14 ~spl0_14|~spl0_13),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f2187])).
% 5.14/1.14 fof(f2189,plain,(
% 5.14/1.14 ~v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H)|~spl0_39|spl0_6),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f909,f157])).
% 5.14/1.14 fof(f2194,plain,(
% 5.14/1.14 ~v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H)),c_Suc(c_1))|~spl0_4|spl0_33),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f106,f754])).
% 5.14/1.14 fof(f2233,plain,(
% 5.14/1.14 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs_H)),tc_nat)|~spl0_14),
% 5.14/1.14 inference(paramodulation,[status(thm)],[f2173,f28])).
% 5.14/1.14 fof(f2234,plain,(
% 5.14/1.14 $false|~spl0_18|~spl0_14),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f2233,f1965])).
% 5.14/1.14 fof(f2235,plain,(
% 5.14/1.14 ~spl0_18|~spl0_14),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f2234])).
% 5.14/1.14 fof(f2241,plain,(
% 5.14/1.14 $false|~spl0_14|~spl0_74),
% 5.14/1.14 inference(forward_subsumption_resolution,[status(thm)],[f2049,f2233])).
% 5.14/1.14 fof(f2242,plain,(
% 5.14/1.14 ~spl0_14|~spl0_74),
% 5.14/1.14 inference(contradiction_clause,[status(thm)],[f2241])).
% 5.14/1.14 fof(f2245,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_1))=c_plus(c_Suc(v_sko__urX(v_evs_H_H)),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.14 inference(forward_demodulation,[status(thm)],[f106,f523])).
% 5.14/1.14 fof(f2246,plain,(
% 5.14/1.14 c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))=c_plus(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f106,f525])).
% 5.14/1.15 fof(f2259,plain,(
% 5.14/1.15 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))|~spl0_4|~spl0_2),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f106,f97])).
% 5.14/1.15 fof(f2261,plain,(
% 5.14/1.15 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2246,f224])).
% 5.14/1.15 fof(f2284,plain,(
% 5.14/1.15 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=X1|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)|~spl0_15)),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f275,f1265])).
% 5.14/1.15 fof(f2352,plain,(
% 5.14/1.15 ~v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H)|~spl0_4|spl0_34),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f106,f760])).
% 5.14/1.15 fof(f2353,plain,(
% 5.14/1.15 ~spl0_15|~spl0_4|spl0_34),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2352,f274,f105,f758])).
% 5.14/1.15 fof(f2502,plain,(
% 5.14/1.15 c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2259,f45])).
% 5.14/1.15 fof(f2504,plain,(
% 5.14/1.15 c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))=c_plus(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2259,f18])).
% 5.14/1.15 fof(f2537,plain,(
% 5.14/1.15 ![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))),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f875,f27])).
% 5.14/1.15 fof(f2542,plain,(
% 5.14/1.15 ![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))),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f20,f887])).
% 5.14/1.15 fof(f2543,plain,(
% 5.14/1.15 spl0_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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2545,plain,(
% 5.14/1.15 ~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_81),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2543])).
% 5.14/1.15 fof(f2546,plain,(
% 5.14/1.15 spl0_82 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2549,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f875,f887])).
% 5.14/1.15 fof(f2550,plain,(
% 5.14/1.15 ~spl0_81|spl0_82),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2549,f2543,f2546])).
% 5.14/1.15 fof(f2551,plain,(
% 5.14/1.15 spl0_83 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2553,plain,(
% 5.14/1.15 ~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_83),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2551])).
% 5.14/1.15 fof(f2554,plain,(
% 5.14/1.15 spl0_84 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2557,plain,(
% 5.14/1.15 ~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)|c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2245,f887])).
% 5.14/1.15 fof(f2558,plain,(
% 5.14/1.15 ~spl0_83|spl0_84|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2557,f2551,f2554,f105,f96])).
% 5.14/1.15 fof(f2559,plain,(
% 5.14/1.15 spl0_85 <=> c_lessequals(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2568,plain,(
% 5.14/1.15 $false|spl0_83),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2553,f50])).
% 5.14/1.15 fof(f2569,plain,(
% 5.14/1.15 spl0_83),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f2568])).
% 5.14/1.15 fof(f2570,plain,(
% 5.14/1.15 $false|spl0_81),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2545,f50])).
% 5.14/1.15 fof(f2571,plain,(
% 5.14/1.15 spl0_81),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f2570])).
% 5.14/1.15 fof(f2584,plain,(
% 5.14/1.15 spl0_86 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2587,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f875,f891])).
% 5.14/1.15 fof(f2588,plain,(
% 5.14/1.15 ~spl0_81|spl0_86),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2587,f2543,f2584])).
% 5.14/1.15 fof(f2589,plain,(
% 5.14/1.15 ~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)|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_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2245,f891])).
% 5.14/1.15 fof(f2590,plain,(
% 5.14/1.15 ~spl0_83|spl0_31|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2589,f2551,f654,f105,f96])).
% 5.14/1.15 fof(f2604,plain,(
% 5.14/1.15 spl0_88 <=> X0=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2605,plain,(
% 5.14/1.15 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~spl0_88)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2604])).
% 5.14/1.15 fof(f2607,plain,(
% 5.14/1.15 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~spl0_15|~spl0_4|~spl0_2)),
% 5.14/1.15 inference(resolution,[status(thm)],[f2284,f2502])).
% 5.14/1.15 fof(f2608,plain,(
% 5.14/1.15 spl0_88|spl0_6|~spl0_15|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2607,f2604,f155,f274,f105,f96])).
% 5.14/1.15 fof(f2665,plain,(
% 5.14/1.15 ![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))),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f37,f1388])).
% 5.14/1.15 fof(f2673,plain,(
% 5.14/1.15 spl0_90 <=> c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1)),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2675,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1)),c_Suc(c_1)),tc_nat)|spl0_90),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2673])).
% 5.14/1.15 fof(f2676,plain,(
% 5.14/1.15 spl0_91 <=> c_lessequals(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),c_Binomial_Obinomial(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2679,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),c_Binomial_Obinomial(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1),c_Suc(c_1)),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2259,f1396])).
% 5.14/1.15 fof(f2680,plain,(
% 5.14/1.15 ~spl0_90|spl0_91|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2679,f2673,f2676,f105,f96])).
% 5.14/1.15 fof(f2681,plain,(
% 5.14/1.15 spl0_92 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2683,plain,(
% 5.14/1.15 ~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_92),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2681])).
% 5.14/1.15 fof(f2684,plain,(
% 5.14/1.15 spl0_93 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2687,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f862,f1396])).
% 5.14/1.15 fof(f2688,plain,(
% 5.14/1.15 ~spl0_92|spl0_93),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2687,f2681,f2684])).
% 5.14/1.15 fof(f2697,plain,(
% 5.14/1.15 spl0_94 <=> 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(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2698,plain,(
% 5.14/1.15 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(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|~spl0_94),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2697])).
% 5.14/1.15 fof(f2699,plain,(
% 5.14/1.15 ~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(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|spl0_94),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2697])).
% 5.14/1.15 fof(f2700,plain,(
% 5.14/1.15 spl0_95 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2703,plain,(
% 5.14/1.15 ~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(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Suc(c_1)),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2259,f1396])).
% 5.14/1.15 fof(f2704,plain,(
% 5.14/1.15 ~spl0_94|spl0_95|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2703,f2697,f2700,f105,f96])).
% 5.14/1.15 fof(f2722,plain,(
% 5.14/1.15 ~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_90),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f31,f2675])).
% 5.14/1.15 fof(f2723,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_90),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f2722])).
% 5.14/1.15 fof(f2724,plain,(
% 5.14/1.15 $false|~spl0_4|~spl0_2|spl0_90),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2723,f50])).
% 5.14/1.15 fof(f2725,plain,(
% 5.14/1.15 ~spl0_4|~spl0_2|spl0_90),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f2724])).
% 5.14/1.15 fof(f2726,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_94),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f2699])).
% 5.14/1.15 fof(f2727,plain,(
% 5.14/1.15 ~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_92),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f31,f2683])).
% 5.14/1.15 fof(f2728,plain,(
% 5.14/1.15 ~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_92),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f862,f2727])).
% 5.14/1.15 fof(f2729,plain,(
% 5.14/1.15 $false|spl0_92),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2728,f50])).
% 5.14/1.15 fof(f2730,plain,(
% 5.14/1.15 spl0_92),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f2729])).
% 5.14/1.15 fof(f2738,plain,(
% 5.14/1.15 spl0_98 <=> c_lessequals(c_Binomial_Obinomial(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_Suc(c_1))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2740,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(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_Suc(c_1))),tc_nat)|spl0_98),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2738])).
% 5.14/1.15 fof(f2741,plain,(
% 5.14/1.15 spl0_99 <=> c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2744,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(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_Suc(c_1))),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2259,f1406])).
% 5.14/1.15 fof(f2745,plain,(
% 5.14/1.15 ~spl0_98|spl0_99|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2744,f2738,f2741,f105,f96])).
% 5.14/1.15 fof(f2763,plain,(
% 5.14/1.15 spl0_102 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2765,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|spl0_102),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2763])).
% 5.14/1.15 fof(f2766,plain,(
% 5.14/1.15 spl0_103 <=> c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1),c_Suc(c_1)),c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2769,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_1),c_Suc(c_1)),c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2259,f1406])).
% 5.14/1.15 fof(f2770,plain,(
% 5.14/1.15 ~spl0_102|spl0_103|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2769,f2763,f2766,f105,f96])).
% 5.14/1.15 fof(f2771,plain,(
% 5.14/1.15 spl0_104 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2773,plain,(
% 5.14/1.15 ~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_104),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2771])).
% 5.14/1.15 fof(f2774,plain,(
% 5.14/1.15 spl0_105 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2777,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f862,f1406])).
% 5.14/1.15 fof(f2778,plain,(
% 5.14/1.15 ~spl0_104|spl0_105),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2777,f2771,f2774])).
% 5.14/1.15 fof(f2779,plain,(
% 5.14/1.15 ![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))),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f20,f1406])).
% 5.14/1.15 fof(f2787,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_4|~spl0_2|spl0_98),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f2740])).
% 5.14/1.15 fof(f2788,plain,(
% 5.14/1.15 $false|~spl0_4|~spl0_2|spl0_98),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2787,f2502])).
% 5.14/1.15 fof(f2789,plain,(
% 5.14/1.15 ~spl0_4|~spl0_2|spl0_98),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f2788])).
% 5.14/1.15 fof(f2790,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|spl0_102),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f31,f2765])).
% 5.14/1.15 fof(f2791,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_102),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f2790])).
% 5.14/1.15 fof(f2792,plain,(
% 5.14/1.15 $false|~spl0_4|~spl0_2|spl0_102),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2791,f50])).
% 5.14/1.15 fof(f2793,plain,(
% 5.14/1.15 ~spl0_4|~spl0_2|spl0_102),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f2792])).
% 5.14/1.15 fof(f2794,plain,(
% 5.14/1.15 ~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_104),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f31,f2773])).
% 5.14/1.15 fof(f2795,plain,(
% 5.14/1.15 ~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_104),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f862,f2794])).
% 5.14/1.15 fof(f2796,plain,(
% 5.14/1.15 $false|spl0_104),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2795,f50])).
% 5.14/1.15 fof(f2797,plain,(
% 5.14/1.15 spl0_104),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f2796])).
% 5.14/1.15 fof(f2839,plain,(
% 5.14/1.15 spl0_108 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2841,plain,(
% 5.14/1.15 ~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_108),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2839])).
% 5.14/1.15 fof(f2842,plain,(
% 5.14/1.15 spl0_109 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2845,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f881,f1397])).
% 5.14/1.15 fof(f2846,plain,(
% 5.14/1.15 ~spl0_108|spl0_109),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2845,f2839,f2842])).
% 5.14/1.15 fof(f2849,plain,(
% 5.14/1.15 $false|spl0_108),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f2841,f50])).
% 5.14/1.15 fof(f2850,plain,(
% 5.14/1.15 spl0_108),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f2849])).
% 5.14/1.15 fof(f2903,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_6|~spl0_4|~spl0_2|spl0_94),
% 5.14/1.15 inference(backward_demodulation,[status(thm)],[f2261,f2726])).
% 5.14/1.15 fof(f2904,plain,(
% 5.14/1.15 ~spl0_60|~spl0_6|~spl0_4|~spl0_2|spl0_94),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2903,f1645,f155,f105,f96,f2697])).
% 5.14/1.15 fof(f2943,plain,(
% 5.14/1.15 ![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_4)),
% 5.14/1.15 inference(resolution,[status(thm)],[f120,f29])).
% 5.14/1.15 fof(f2944,plain,(
% 5.14/1.15 ![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_15|~spl0_4)),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f275,f2943])).
% 5.14/1.15 fof(f2958,plain,(
% 5.14/1.15 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs),X0,tc_nat)|~spl0_88)),
% 5.14/1.15 inference(resolution,[status(thm)],[f2605,f29])).
% 5.14/1.15 fof(f2959,plain,(
% 5.14/1.15 spl0_113 <=> v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2960,plain,(
% 5.14/1.15 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_113)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2959])).
% 5.14/1.15 fof(f2964,plain,(
% 5.14/1.15 spl0_114 <=> v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2965,plain,(
% 5.14/1.15 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_114)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2964])).
% 5.14/1.15 fof(f2969,plain,(
% 5.14/1.15 ![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_15|~spl0_4)),
% 5.14/1.15 inference(resolution,[status(thm)],[f2944,f23])).
% 5.14/1.15 fof(f2970,plain,(
% 5.14/1.15 spl0_115 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2971,plain,(
% 5.14/1.15 ![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_115)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2970])).
% 5.14/1.15 fof(f2983,plain,(
% 5.14/1.15 spl0_116 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2985,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),v_sko__urX(v_evs_H_H),tc_nat)|spl0_116),
% 5.14/1.15 inference(component_clause,[status(thm)],[f2983])).
% 5.14/1.15 fof(f2986,plain,(
% 5.14/1.15 spl0_117 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f2991,plain,(
% 5.14/1.15 ~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(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2504,f891])).
% 5.14/1.15 fof(f2992,plain,(
% 5.14/1.15 ~spl0_94|spl0_117|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2991,f2697,f2986,f105,f96])).
% 5.14/1.15 fof(f2993,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(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_Suc(c_1))),tc_nat)|c_lessequals(c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_Suc(c_1))),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2504,f887])).
% 5.14/1.15 fof(f2994,plain,(
% 5.14/1.15 ~spl0_98|spl0_85|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f2993,f2738,f2559,f105,f96])).
% 5.14/1.15 fof(f3000,plain,(
% 5.14/1.15 c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|~spl0_94),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f2698])).
% 5.14/1.15 fof(f3001,plain,(
% 5.14/1.15 $false|spl0_116|~spl0_4|~spl0_2|~spl0_94),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3000,f2985])).
% 5.14/1.15 fof(f3002,plain,(
% 5.14/1.15 spl0_116|~spl0_4|~spl0_2|~spl0_94),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f3001])).
% 5.14/1.15 fof(f3039,plain,(
% 5.14/1.15 spl0_118 <=> c_lessequals(X0,c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3040,plain,(
% 5.14/1.15 ![X0]: (c_lessequals(X0,c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)|~spl0_118)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3039])).
% 5.14/1.15 fof(f3049,plain,(
% 5.14/1.15 spl0_119 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3051,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),v_sko__urX(v_evs_H_H),tc_nat)|spl0_119),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3049])).
% 5.14/1.15 fof(f3119,plain,(
% 5.14/1.15 spl0_127 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3121,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|spl0_127),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3119])).
% 5.14/1.15 fof(f3124,plain,(
% 5.14/1.15 spl0_128 <=> c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3126,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),c_Suc(c_1)),tc_nat)|spl0_128),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3124])).
% 5.14/1.15 fof(f3138,plain,(
% 5.14/1.15 spl0_129 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),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_Suc(c_1)))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3140,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),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_Suc(c_1)))),tc_nat)|spl0_129),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3138])).
% 5.14/1.15 fof(f3141,plain,(
% 5.14/1.15 spl0_130 <=> c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3144,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),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_Suc(c_1)))),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2261,f1406])).
% 5.14/1.15 fof(f3145,plain,(
% 5.14/1.15 ~spl0_129|spl0_130|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3144,f3138,f3141,f155,f105,f96])).
% 5.14/1.15 fof(f3146,plain,(
% 5.14/1.15 spl0_131 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3148,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|spl0_131),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3146])).
% 5.14/1.15 fof(f3149,plain,(
% 5.14/1.15 spl0_132 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),c_Binomial_Obinomial(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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3152,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),c_Binomial_Obinomial(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_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2261,f1396])).
% 5.14/1.15 fof(f3153,plain,(
% 5.14/1.15 ~spl0_131|spl0_132|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3152,f3146,f3149,f155,f105,f96])).
% 5.14/1.15 fof(f3164,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_4|~spl0_2|spl0_129),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f3140])).
% 5.14/1.15 fof(f3165,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_16|~spl0_4|~spl0_2|spl0_129),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f293,f3164])).
% 5.14/1.15 fof(f3166,plain,(
% 5.14/1.15 $false|~spl0_16|~spl0_4|~spl0_2|spl0_129),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3165,f50])).
% 5.14/1.15 fof(f3167,plain,(
% 5.14/1.15 ~spl0_16|~spl0_4|~spl0_2|spl0_129),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f3166])).
% 5.14/1.15 fof(f3168,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_131),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f3148])).
% 5.14/1.15 fof(f3199,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_16|~spl0_4|~spl0_2|spl0_131),
% 5.14/1.15 inference(backward_demodulation,[status(thm)],[f293,f3168])).
% 5.14/1.15 fof(f3200,plain,(
% 5.14/1.15 ~spl0_60|~spl0_16|~spl0_4|~spl0_2|spl0_131),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3199,f1645,f292,f105,f96,f3146])).
% 5.14/1.15 fof(f3235,plain,(
% 5.14/1.15 ![X0]: (X0=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|X0=v_sko__urX(v_evs_H_H)|~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4|~spl0_88)),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f106,f2958])).
% 5.14/1.15 fof(f3334,plain,(
% 5.14/1.15 c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))=c_plus(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2261,f18])).
% 5.14/1.15 fof(f3335,plain,(
% 5.14/1.15 v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_16|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f293,f3334])).
% 5.14/1.15 fof(f3346,plain,(
% 5.14/1.15 spl0_135 <=> c_lessequals(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)),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3348,plain,(
% 5.14/1.15 ~c_lessequals(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)),v_sko__urX(v_evs_H_H),tc_nat)|spl0_135),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3346])).
% 5.14/1.15 fof(f3351,plain,(
% 5.14/1.15 spl0_136 <=> c_lessequals(v_sko__urX(v_evs_H_H),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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3353,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),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_136),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3351])).
% 5.14/1.15 fof(f3367,plain,(
% 5.14/1.15 spl0_137 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3369,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),tc_nat)|spl0_137),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3367])).
% 5.14/1.15 fof(f3370,plain,(
% 5.14/1.15 spl0_138 <=> c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),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_Suc(c_Suc(c_1))))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3373,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),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_Suc(c_Suc(c_1))))),tc_nat)|~spl0_16),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f293,f1406])).
% 5.14/1.15 fof(f3374,plain,(
% 5.14/1.15 ~spl0_137|spl0_138|~spl0_16),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3373,f3367,f3370,f292])).
% 5.14/1.15 fof(f3375,plain,(
% 5.14/1.15 spl0_139 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3377,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|spl0_139),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3375])).
% 5.14/1.15 fof(f3378,plain,(
% 5.14/1.15 spl0_140 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3381,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),c_Suc(c_1)),tc_nat)|~spl0_16),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f293,f1396])).
% 5.14/1.15 fof(f3382,plain,(
% 5.14/1.15 ~spl0_139|spl0_140|~spl0_16),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3381,f3375,f3378,f292])).
% 5.14/1.15 fof(f3388,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),tc_nat)|~spl0_4|~spl0_2|spl0_137),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f3369])).
% 5.14/1.15 fof(f3389,plain,(
% 5.14/1.15 $false|~spl0_16|~spl0_4|~spl0_2|spl0_137),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3388,f2006])).
% 5.14/1.15 fof(f3390,plain,(
% 5.14/1.15 ~spl0_16|~spl0_4|~spl0_2|spl0_137),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f3389])).
% 5.14/1.15 fof(f3391,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_139),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f3377])).
% 5.14/1.15 fof(f3393,plain,(
% 5.14/1.15 spl0_141 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3396,plain,(
% 5.14/1.15 ~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)|c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1)),tc_nat)|~spl0_16|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f3335,f891])).
% 5.14/1.15 fof(f3397,plain,(
% 5.14/1.15 ~spl0_31|spl0_141|~spl0_16|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3396,f654,f3393,f292,f155,f105,f96])).
% 5.14/1.15 fof(f3398,plain,(
% 5.14/1.15 spl0_142 <=> c_lessequals(c_Binomial_Obinomial(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_Suc(c_Suc(c_1)))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3401,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|c_lessequals(c_Binomial_Obinomial(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_Suc(c_Suc(c_1)))),tc_nat)|~spl0_16|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f3335,f887])).
% 5.14/1.15 fof(f3402,plain,(
% 5.14/1.15 ~spl0_84|spl0_142|~spl0_16|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3401,f2554,f3398,f292,f155,f105,f96])).
% 5.14/1.15 fof(f3561,plain,(
% 5.14/1.15 spl0_143 <=> c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3563,plain,(
% 5.14/1.15 ~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_143),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3561])).
% 5.14/1.15 fof(f3564,plain,(
% 5.14/1.15 spl0_144 <=> c_lessequals(c_Binomial_Obinomial(c_0,c_Suc(c_1)),c_Binomial_Obinomial(c_0,c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3567,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f37,f2542])).
% 5.14/1.15 fof(f3568,plain,(
% 5.14/1.15 ~spl0_143|spl0_144),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3567,f3561,f3564])).
% 5.14/1.15 fof(f3569,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)|spl0_143),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f20,f3563])).
% 5.14/1.15 fof(f3570,plain,(
% 5.14/1.15 $false|spl0_143),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3569,f50])).
% 5.14/1.15 fof(f3571,plain,(
% 5.14/1.15 spl0_143),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f3570])).
% 5.14/1.15 fof(f3573,plain,(
% 5.14/1.15 spl0_145 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_0),c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3575,plain,(
% 5.14/1.15 ~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_145),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3573])).
% 5.14/1.15 fof(f3585,plain,(
% 5.14/1.15 spl0_147 <=> v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3586,plain,(
% 5.14/1.15 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))|~spl0_147),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3585])).
% 5.14/1.15 fof(f3587,plain,(
% 5.14/1.15 ~v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))|spl0_147),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3585])).
% 5.14/1.15 fof(f3593,plain,(
% 5.14/1.15 spl0_148 <=> X0=c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))|v_sko__urX(v_evs_H_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3596,plain,(
% 5.14/1.15 ![X0]: (v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))|X0=c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))|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_16|~spl0_4)),
% 5.14/1.15 inference(resolution,[status(thm)],[f2006,f115])).
% 5.14/1.15 fof(f3597,plain,(
% 5.14/1.15 spl0_147|spl0_148|~spl0_16|~spl0_4),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3596,f3585,f3593,f292,f105])).
% 5.14/1.15 fof(f3613,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_147|~spl0_4|~spl0_2|spl0_139),
% 5.14/1.15 inference(backward_demodulation,[status(thm)],[f3586,f3391])).
% 5.14/1.15 fof(f3614,plain,(
% 5.14/1.15 ~spl0_60|~spl0_147|~spl0_4|~spl0_2|spl0_139),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3613,f1645,f3585,f105,f96,f3375])).
% 5.14/1.15 fof(f3648,plain,(
% 5.14/1.15 spl0_151 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3650,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|spl0_151),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3648])).
% 5.14/1.15 fof(f3651,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),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_Suc(c_Suc(c_1))))),tc_nat)|~spl0_147),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f3586,f1406])).
% 5.14/1.15 fof(f3652,plain,(
% 5.14/1.15 ~spl0_151|spl0_138|~spl0_147),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3651,f3648,f3370,f3585])).
% 5.14/1.15 fof(f3653,plain,(
% 5.14/1.15 spl0_152 <=> c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3655,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),tc_nat)|spl0_152),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3653])).
% 5.14/1.15 fof(f3656,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1)))),c_Suc(c_1)),tc_nat)|~spl0_147),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f3586,f1396])).
% 5.14/1.15 fof(f3657,plain,(
% 5.14/1.15 ~spl0_152|spl0_140|~spl0_147),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3656,f3653,f3378,f3585])).
% 5.14/1.15 fof(f3669,plain,(
% 5.14/1.15 spl0_153 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3671,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),tc_nat)|spl0_153),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3669])).
% 5.14/1.15 fof(f3672,plain,(
% 5.14/1.15 spl0_154 <=> c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3675,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),tc_nat)|~spl0_147),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f3586,f1406])).
% 5.14/1.15 fof(f3676,plain,(
% 5.14/1.15 ~spl0_153|spl0_154|~spl0_147),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3675,f3669,f3672,f3585])).
% 5.14/1.15 fof(f3677,plain,(
% 5.14/1.15 spl0_155 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3679,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|spl0_155),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3677])).
% 5.14/1.15 fof(f3680,plain,(
% 5.14/1.15 spl0_156 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3683,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),tc_nat)|c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),c_Binomial_Obinomial(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_1))))),c_Suc(c_1)),tc_nat)|~spl0_147),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f3586,f1396])).
% 5.14/1.15 fof(f3684,plain,(
% 5.14/1.15 ~spl0_155|spl0_156|~spl0_147),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3683,f3677,f3680,f3585])).
% 5.14/1.15 fof(f3688,plain,(
% 5.14/1.15 c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),tc_nat)|~spl0_147),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f3586,f45])).
% 5.14/1.15 fof(f3689,plain,(
% 5.14/1.15 c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1))))))=c_plus(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),tc_nat)|~spl0_147),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f3586,f18])).
% 5.14/1.15 fof(f3690,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),tc_nat)|~spl0_4|~spl0_2|spl0_153),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f3671])).
% 5.14/1.15 fof(f3691,plain,(
% 5.14/1.15 $false|~spl0_147|~spl0_4|~spl0_2|spl0_153),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3690,f3688])).
% 5.14/1.15 fof(f3692,plain,(
% 5.14/1.15 ~spl0_147|~spl0_4|~spl0_2|spl0_153),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f3691])).
% 5.14/1.15 fof(f3693,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_155),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f3679])).
% 5.14/1.15 fof(f3731,plain,(
% 5.14/1.15 spl0_158 <=> ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),c_Suc(c_1)),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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3732,plain,(
% 5.14/1.15 ![X0]: (~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1))),c_Suc(c_1)),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_158)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3731])).
% 5.14/1.15 fof(f3793,plain,(
% 5.14/1.15 ![X0]: (~c_less(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1))),X0,tc_nat)|v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_113)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2960,f28])).
% 5.14/1.15 fof(f3894,plain,(
% 5.14/1.15 c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))=c_plus(v_sko__urX(v_evs_H_H),c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2261,f18])).
% 5.14/1.15 fof(f3902,plain,(
% 5.14/1.15 spl0_166 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3904,plain,(
% 5.14/1.15 ~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_166),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3902])).
% 5.14/1.15 fof(f3905,plain,(
% 5.14/1.15 spl0_167 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3910,plain,(
% 5.14/1.15 spl0_168 <=> c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_0)),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3912,plain,(
% 5.14/1.15 ~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_168),
% 5.14/1.15 inference(component_clause,[status(thm)],[f3910])).
% 5.14/1.15 fof(f3913,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f19,f2665])).
% 5.14/1.15 fof(f3914,plain,(
% 5.14/1.15 ~spl0_168|spl0_167),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3913,f3910,f3905])).
% 5.14/1.15 fof(f3915,plain,(
% 5.14/1.15 spl0_169 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3918,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f31,f2665])).
% 5.14/1.15 fof(f3919,plain,(
% 5.14/1.15 ~spl0_143|spl0_169),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3918,f3561,f3915])).
% 5.14/1.15 fof(f3920,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_1,c_1),c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|spl0_168),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f20,f3912])).
% 5.14/1.15 fof(f3921,plain,(
% 5.14/1.15 ~c_lessequals(c_1,c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|spl0_168),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f31,f3920])).
% 5.14/1.15 fof(f3922,plain,(
% 5.14/1.15 ~c_lessequals(c_1,c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|spl0_168),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f862,f3921])).
% 5.14/1.15 fof(f3923,plain,(
% 5.14/1.15 $false|spl0_168),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3922,f44])).
% 5.14/1.15 fof(f3924,plain,(
% 5.14/1.15 spl0_168),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f3923])).
% 5.14/1.15 fof(f3940,plain,(
% 5.14/1.15 spl0_172 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3943,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f31,f2779])).
% 5.14/1.15 fof(f3944,plain,(
% 5.14/1.15 ~spl0_145|spl0_172),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3943,f3573,f3940])).
% 5.14/1.15 fof(f3955,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_1,c_Suc(c_1)),c_Binomial_Obinomial(c_1,c_Suc(c_1)),tc_nat)|spl0_145),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f20,f3575])).
% 5.14/1.15 fof(f3956,plain,(
% 5.14/1.15 $false|spl0_145),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3955,f50])).
% 5.14/1.15 fof(f3957,plain,(
% 5.14/1.15 spl0_145),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f3956])).
% 5.14/1.15 fof(f3960,plain,(
% 5.14/1.15 spl0_174 <=> 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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f3963,plain,(
% 5.14/1.15 ~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)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f875,f2537])).
% 5.14/1.15 fof(f3964,plain,(
% 5.14/1.15 ~spl0_81|spl0_174),
% 5.14/1.15 inference(split_clause,[status(thm)],[f3963,f2543,f3960])).
% 5.14/1.15 fof(f4027,plain,(
% 5.14/1.15 ![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_15|~spl0_4)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f2969,f28])).
% 5.14/1.15 fof(f4052,plain,(
% 5.14/1.15 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_115)),
% 5.14/1.15 inference(duplicate_literals_removal,[status(esa)],[f2971])).
% 5.14/1.15 fof(f4081,plain,(
% 5.14/1.15 ![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_115|~spl0_4)),
% 5.14/1.15 inference(backward_demodulation,[status(thm)],[f4052,f120])).
% 5.14/1.15 fof(f4082,plain,(
% 5.14/1.15 spl0_19|spl0_11|~spl0_115|~spl0_4),
% 5.14/1.15 inference(split_clause,[status(thm)],[f4081,f348,f175,f2970,f105])).
% 5.14/1.15 fof(f4095,plain,(
% 5.14/1.15 c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1))))))=v_sko__urX(v_evs_H_H)|~spl0_115|~spl0_147),
% 5.14/1.15 inference(backward_demodulation,[status(thm)],[f4052,f3689])).
% 5.14/1.15 fof(f4122,plain,(
% 5.14/1.15 spl0_188 <=> c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4124,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))))),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_1)))))),v_sko__urX(v_evs_H_H),tc_nat)|spl0_188),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4122])).
% 5.14/1.15 fof(f4145,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_115|~spl0_147|~spl0_4|~spl0_2|spl0_155),
% 5.14/1.15 inference(backward_demodulation,[status(thm)],[f4095,f3693])).
% 5.14/1.15 fof(f4146,plain,(
% 5.14/1.15 ~spl0_60|~spl0_115|~spl0_147|~spl0_4|~spl0_2|spl0_155),
% 5.14/1.15 inference(split_clause,[status(thm)],[f4145,f1645,f2970,f3585,f105,f96,f3677])).
% 5.14/1.15 fof(f4244,plain,(
% 5.14/1.15 spl0_193 <=> v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4245,plain,(
% 5.14/1.15 v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_193),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4244])).
% 5.14/1.15 fof(f4246,plain,(
% 5.14/1.15 ~v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|spl0_193),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4244])).
% 5.14/1.15 fof(f4262,plain,(
% 5.14/1.15 spl0_197 <=> v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4263,plain,(
% 5.14/1.15 v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))|~spl0_197),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4262])).
% 5.14/1.15 fof(f4264,plain,(
% 5.14/1.15 ~v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))|spl0_197),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4262])).
% 5.14/1.15 fof(f4265,plain,(
% 5.14/1.15 spl0_198 <=> X0=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))|v_sko__urX(v_evs_H_H)=X0|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4266,plain,(
% 5.14/1.15 ![X0]: (X0=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))|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_198)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4265])).
% 5.14/1.15 fof(f4270,plain,(
% 5.14/1.15 spl0_199 <=> X0=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4271,plain,(
% 5.14/1.15 ![X0]: (X0=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~spl0_199)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4270])).
% 5.14/1.15 fof(f4275,plain,(
% 5.14/1.15 spl0_200 <=> c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))=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)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4276,plain,(
% 5.14/1.15 ![X0]: (c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))=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_200)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4275])).
% 5.14/1.15 fof(f4309,plain,(
% 5.14/1.15 ![X0]: (~c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat)|c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_193)),
% 5.14/1.15 inference(paramodulation,[status(thm)],[f4245,f27])).
% 5.14/1.15 fof(f4310,plain,(
% 5.14/1.15 ![X0]: (c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_193)),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4309,f23])).
% 5.14/1.15 fof(f4315,plain,(
% 5.14/1.15 ![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(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)|~spl0_193|~spl0_4)),
% 5.14/1.15 inference(backward_subsumption_resolution,[status(thm)],[f115,f4310])).
% 5.14/1.15 fof(f4325,plain,(
% 5.14/1.15 ![X0,X1]: (v_sko__urX(v_evs_H_H)=X0|X1=X0|v_sko__urX(v_evs_H_H)=X1|~c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat)|~spl0_193|~spl0_4)),
% 5.14/1.15 inference(resolution,[status(thm)],[f4315,f29])).
% 5.14/1.15 fof(f4326,plain,(
% 5.14/1.15 ![X0,X1]: (v_sko__urX(v_evs_H_H)=X0|X1=X0|v_sko__urX(v_evs_H_H)=X1|~c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)|~spl0_15|~spl0_193|~spl0_4)),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f275,f4325])).
% 5.14/1.15 fof(f4327,plain,(
% 5.14/1.15 ![X0,X1]: (v_sko__urX(v_evs_H_H)=X0|X1=X0|v_sko__urX(v_evs_H_H)=X1|~spl0_15|~spl0_193|~spl0_4)),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4326,f4310])).
% 5.14/1.15 fof(f4328,plain,(
% 5.14/1.15 spl0_206 <=> v_sko__urX(v_evs_H_H)=c_0),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4330,plain,(
% 5.14/1.15 ~v_sko__urX(v_evs_H_H)=c_0|spl0_206),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4328])).
% 5.14/1.15 fof(f4338,plain,(
% 5.14/1.15 spl0_208 <=> X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4339,plain,(
% 5.14/1.15 ![X0,X1,X2]: (X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=X0|~spl0_208)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4338])).
% 5.14/1.15 fof(f4347,plain,(
% 5.14/1.15 spl0_209 <=> v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4348,plain,(
% 5.14/1.15 ![X0,X1,X2]: (v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=X0|~spl0_209)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4347])).
% 5.14/1.15 fof(f4350,plain,(
% 5.14/1.15 spl0_210 <=> v_sko__urX(v_evs_H_H)=v_evs_H_H),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4351,plain,(
% 5.14/1.15 v_sko__urX(v_evs_H_H)=v_evs_H_H|~spl0_210),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4350])).
% 5.14/1.15 fof(f4477,plain,(
% 5.14/1.15 spl0_211 <=> ~X0=X0|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4478,plain,(
% 5.14/1.15 ![X0]: (~X0=X0|v_sko__urX(v_evs_H_H)=X0|~spl0_211)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4477])).
% 5.14/1.15 fof(f4482,plain,(
% 5.14/1.15 spl0_212 <=> v_sko__urX(v_evs_H_H)=X0|~X0=v_sko__urX(v_evs_H_H)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4487,plain,(
% 5.14/1.15 spl0_213 <=> X0=X0|X0=v_sko__urX(v_evs_H_H)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4490,plain,(
% 5.14/1.15 ![X0]: (X0=X0|~v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_193|~spl0_4)),
% 5.14/1.15 inference(equality_factoring,[status(esa)],[f4327])).
% 5.14/1.15 fof(f4491,plain,(
% 5.14/1.15 spl0_213|~spl0_10|~spl0_15|~spl0_193|~spl0_4),
% 5.14/1.15 inference(split_clause,[status(thm)],[f4490,f4487,f172,f274,f4244,f105])).
% 5.14/1.15 fof(f4496,plain,(
% 5.14/1.15 spl0_214 <=> X1=v_sko__urX(v_evs_H_H)),
% 5.14/1.15 introduced(split_symbol_definition)).
% 5.14/1.15 fof(f4497,plain,(
% 5.14/1.15 ![X0]: (X0=v_sko__urX(v_evs_H_H)|~spl0_214)),
% 5.14/1.15 inference(component_clause,[status(thm)],[f4496])).
% 5.14/1.15 fof(f4513,plain,(
% 5.14/1.15 ~c_lessequals(c_1,c_Binomial_Obinomial(c_Suc(c_Binomial_Obinomial(c_0,c_0)),c_Suc(c_1)),tc_nat)|spl0_166),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f31,f3904])).
% 5.14/1.15 fof(f4514,plain,(
% 5.14/1.15 ~c_lessequals(c_1,c_Binomial_Obinomial(c_Suc(c_1),c_Suc(c_1)),tc_nat)|spl0_166),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f19,f4513])).
% 5.14/1.15 fof(f4515,plain,(
% 5.14/1.15 ~c_lessequals(c_1,c_Suc(c_Binomial_Obinomial(c_1,c_Suc(c_1))),tc_nat)|spl0_166),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f862,f4514])).
% 5.14/1.15 fof(f4516,plain,(
% 5.14/1.15 $false|spl0_166),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4515,f44])).
% 5.14/1.15 fof(f4517,plain,(
% 5.14/1.15 spl0_166),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f4516])).
% 5.14/1.15 fof(f4518,plain,(
% 5.14/1.15 ~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_16|spl0_152),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f293,f3655])).
% 5.14/1.15 fof(f4519,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|~spl0_16|spl0_152),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f4518])).
% 5.14/1.15 fof(f4520,plain,(
% 5.14/1.15 $false|~spl0_4|~spl0_2|~spl0_16|spl0_152),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4519,f50])).
% 5.14/1.15 fof(f4521,plain,(
% 5.14/1.15 ~spl0_4|~spl0_2|~spl0_16|spl0_152),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f4520])).
% 5.14/1.15 fof(f4522,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_16|spl0_151),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f293,f3650])).
% 5.14/1.15 fof(f4523,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|~spl0_16|spl0_151),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f4522])).
% 5.14/1.15 fof(f4524,plain,(
% 5.14/1.15 $false|~spl0_4|~spl0_2|~spl0_16|spl0_151),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4523,f50])).
% 5.14/1.15 fof(f4525,plain,(
% 5.14/1.15 ~spl0_4|~spl0_2|~spl0_16|spl0_151),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f4524])).
% 5.14/1.15 fof(f4526,plain,(
% 5.14/1.15 ~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_6|~spl0_4|~spl0_2|spl0_136),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2261,f3353])).
% 5.14/1.15 fof(f4527,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_6|~spl0_4|~spl0_2|spl0_136),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f4526])).
% 5.14/1.15 fof(f4528,plain,(
% 5.14/1.15 $false|~spl0_6|~spl0_4|~spl0_2|spl0_136),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4527,f50])).
% 5.14/1.15 fof(f4529,plain,(
% 5.14/1.15 ~spl0_6|~spl0_4|~spl0_2|spl0_136),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f4528])).
% 5.14/1.15 fof(f4530,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_6|~spl0_4|~spl0_2|spl0_135),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2261,f3348])).
% 5.14/1.15 fof(f4531,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_6|~spl0_4|~spl0_2|spl0_135),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f4530])).
% 5.14/1.15 fof(f4532,plain,(
% 5.14/1.15 $false|~spl0_6|~spl0_4|~spl0_2|spl0_135),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4531,f50])).
% 5.14/1.15 fof(f4533,plain,(
% 5.14/1.15 ~spl0_6|~spl0_4|~spl0_2|spl0_135),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f4532])).
% 5.14/1.15 fof(f4534,plain,(
% 5.14/1.15 ~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_4|~spl0_2|spl0_128),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f3126])).
% 5.14/1.15 fof(f4535,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_128),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f4534])).
% 5.14/1.15 fof(f4536,plain,(
% 5.14/1.15 $false|~spl0_4|~spl0_2|spl0_128),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4535,f50])).
% 5.14/1.15 fof(f4537,plain,(
% 5.14/1.15 ~spl0_4|~spl0_2|spl0_128),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f4536])).
% 5.14/1.15 fof(f4538,plain,(
% 5.14/1.15 ~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_127),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f3121])).
% 5.14/1.15 fof(f4539,plain,(
% 5.14/1.15 ~c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_4|~spl0_2|spl0_127),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f2259,f4538])).
% 5.14/1.15 fof(f4540,plain,(
% 5.14/1.15 $false|~spl0_4|~spl0_2|spl0_127),
% 5.14/1.15 inference(forward_subsumption_resolution,[status(thm)],[f4539,f50])).
% 5.14/1.15 fof(f4541,plain,(
% 5.14/1.15 ~spl0_4|~spl0_2|spl0_127),
% 5.14/1.15 inference(contradiction_clause,[status(thm)],[f4540])).
% 5.14/1.15 fof(f4543,plain,(
% 5.14/1.15 ![X0]: (c_lessequals(X0,v_sko__urX(v_evs_H_H),tc_nat)|~spl0_197|~spl0_118)),
% 5.14/1.15 inference(forward_demodulation,[status(thm)],[f4263,f3040])).
% 5.14/1.15 fof(f4544,plain,(
% 5.14/1.15 ![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_4|~spl0_2|~spl0_114)),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f2259,f2965])).
% 5.14/1.16 fof(f4545,plain,(
% 5.14/1.16 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4|~spl0_2|~spl0_114)),
% 5.14/1.16 inference(duplicate_literals_removal,[status(esa)],[f4544])).
% 5.14/1.16 fof(f4582,plain,(
% 5.14/1.16 $false|~spl0_214|spl0_147),
% 5.14/1.16 inference(forward_subsumption_resolution,[status(thm)],[f3587,f4497])).
% 5.14/1.16 fof(f4583,plain,(
% 5.14/1.16 ~spl0_214|spl0_147),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f4582])).
% 5.14/1.16 fof(f4584,plain,(
% 5.14/1.16 $false|~spl0_197|~spl0_118|spl0_116),
% 5.14/1.16 inference(forward_subsumption_resolution,[status(thm)],[f2985,f4543])).
% 5.14/1.16 fof(f4585,plain,(
% 5.14/1.16 ~spl0_197|~spl0_118|spl0_116),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f4584])).
% 5.14/1.16 fof(f4586,plain,(
% 5.14/1.16 ![X0]: (c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))|c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_4|~spl0_88)),
% 5.14/1.16 inference(resolution,[status(thm)],[f3235,f23])).
% 5.14/1.16 fof(f4601,plain,(
% 5.14/1.16 spl0_19|~spl0_4|~spl0_2|~spl0_114),
% 5.14/1.16 inference(split_clause,[status(thm)],[f4545,f348,f105,f96,f2964])).
% 5.14/1.16 fof(f4606,plain,(
% 5.14/1.16 ![X0]: (v_sko__urX(v_evs_H_H)=X0|~spl0_211)),
% 5.14/1.16 inference(trivial_equality_resolution,[status(esa)],[f4478])).
% 5.14/1.16 fof(f4607,plain,(
% 5.14/1.16 spl0_214|~spl0_211),
% 5.14/1.16 inference(split_clause,[status(thm)],[f4606,f4496,f4477])).
% 5.14/1.16 fof(f4659,plain,(
% 5.14/1.16 ![X0]: (~c_lessequals(c_Binomial_Obinomial(c_Suc(v_sko__urX(v_evs_H_H)),c_Suc(c_1)),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_4|~spl0_2|~spl0_158)),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f2259,f3732])).
% 5.14/1.16 fof(f4660,plain,(
% 5.14/1.16 ![X0]: (~c_lessequals(v_sko__urX(v_evs_H_H),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_4|~spl0_2|~spl0_158)),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f2259,f4659])).
% 5.14/1.16 fof(f4729,plain,(
% 5.14/1.16 ~spl0_13|~spl0_4|spl0_33),
% 5.14/1.16 inference(split_clause,[status(thm)],[f2194,f265,f105,f752])).
% 5.14/1.16 fof(f4781,plain,(
% 5.14/1.16 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_210|spl0_119),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f4351,f3051])).
% 5.14/1.16 fof(f4782,plain,(
% 5.14/1.16 ~c_lessequals(c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_evs_H_H))),c_Suc(c_Suc(c_Suc(c_1)))),v_evs_H_H,tc_nat)|~spl0_210|spl0_119),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f4351,f4781])).
% 5.14/1.16 fof(f4783,plain,(
% 5.14/1.16 $false|~spl0_59|~spl0_210|spl0_119),
% 5.14/1.16 inference(forward_subsumption_resolution,[status(thm)],[f4782,f1641])).
% 5.14/1.16 fof(f4784,plain,(
% 5.14/1.16 ~spl0_59|~spl0_210|spl0_119),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f4783])).
% 5.14/1.16 fof(f4787,plain,(
% 5.14/1.16 $false|~spl0_58),
% 5.14/1.16 inference(backward_subsumption_resolution,[status(thm)],[f876,f1632])).
% 5.14/1.16 fof(f4788,plain,(
% 5.14/1.16 ~spl0_58),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f4787])).
% 5.14/1.16 fof(f4802,plain,(
% 5.14/1.16 $false|~spl0_197|~spl0_118|spl0_188),
% 5.14/1.16 inference(backward_subsumption_resolution,[status(thm)],[f4124,f4543])).
% 5.14/1.16 fof(f4803,plain,(
% 5.14/1.16 ~spl0_197|~spl0_118|spl0_188),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f4802])).
% 5.14/1.16 fof(f4806,plain,(
% 5.14/1.16 spl0_42|~spl0_11),
% 5.14/1.16 inference(split_clause,[status(thm)],[f473,f1000,f175])).
% 5.14/1.16 fof(f4887,plain,(
% 5.14/1.16 spl0_113|~spl0_4|~spl0_88),
% 5.14/1.16 inference(split_clause,[status(thm)],[f4586,f2959,f105,f2604])).
% 5.14/1.16 fof(f4941,plain,(
% 5.14/1.16 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=X1|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)|~spl0_69|~spl0_15|~spl0_4)),
% 5.14/1.16 inference(forward_subsumption_resolution,[status(thm)],[f1237,f1689])).
% 5.14/1.16 fof(f4958,plain,(
% 5.14/1.16 ![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_197|~spl0_200)),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f4263,f4276])).
% 5.14/1.16 fof(f4962,plain,(
% 5.14/1.16 ![X0]: (X0=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)|~spl0_197|~spl0_199)),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f4263,f4271])).
% 5.14/1.16 fof(f4966,plain,(
% 5.14/1.16 ![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_197|~spl0_198)),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f4263,f4266])).
% 5.14/1.16 fof(f5224,plain,(
% 5.14/1.16 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_4|~spl0_2|~spl0_158)),
% 5.14/1.16 inference(backward_subsumption_resolution,[status(thm)],[f4660,f23])).
% 5.14/1.16 fof(f5225,plain,(
% 5.14/1.16 spl0_19|~spl0_4|~spl0_2|~spl0_158),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5224,f348,f105,f96,f3731])).
% 5.14/1.16 fof(f5240,plain,(
% 5.14/1.16 ~c_plus(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_13|~spl0_34|~spl0_33|spl0_52),
% 5.14/1.16 inference(backward_demodulation,[status(thm)],[f842,f1471])).
% 5.14/1.16 fof(f5288,plain,(
% 5.14/1.16 $false|~spl0_57),
% 5.14/1.16 inference(resolution,[status(thm)],[f1627,f47])).
% 5.14/1.16 fof(f5289,plain,(
% 5.14/1.16 ~spl0_57),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f5288])).
% 5.14/1.16 fof(f5298,plain,(
% 5.14/1.16 spl0_215 <=> X0=c_0|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5299,plain,(
% 5.14/1.16 ![X0]: (X0=c_0|v_sko__urX(v_evs_H_H)=X0|~spl0_215)),
% 5.14/1.16 inference(component_clause,[status(thm)],[f5298])).
% 5.14/1.16 fof(f5303,plain,(
% 5.14/1.16 $false|~spl0_208|spl0_206),
% 5.14/1.16 inference(resolution,[status(thm)],[f4339,f4330])).
% 5.14/1.16 fof(f5304,plain,(
% 5.14/1.16 ~spl0_208|spl0_206),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f5303])).
% 5.14/1.16 fof(f5361,plain,(
% 5.14/1.16 ![X0,X1]: (X0=c_0|X1=X0|X1=c_0|~spl0_215)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f5299,f5299])).
% 5.14/1.16 fof(f5363,plain,(
% 5.14/1.16 spl0_216 <=> X0=c_0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5364,plain,(
% 5.14/1.16 ![X0]: (X0=c_0|~spl0_216)),
% 5.14/1.16 inference(component_clause,[status(thm)],[f5363])).
% 5.14/1.16 fof(f5366,plain,(
% 5.14/1.16 ![X0]: (~v_sko__urX(v_evs_H_H)=c_0|X0=c_0|~spl0_215)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f5299])).
% 5.14/1.16 fof(f5367,plain,(
% 5.14/1.16 ~spl0_206|spl0_216|~spl0_215),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5366,f4328,f5363,f5298])).
% 5.14/1.16 fof(f5370,plain,(
% 5.14/1.16 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|~spl0_216)),
% 5.14/1.16 inference(backward_subsumption_resolution,[status(thm)],[f21,f5364])).
% 5.14/1.16 fof(f5371,plain,(
% 5.14/1.16 spl0_47|~spl0_216),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5370,f1108,f5363])).
% 5.14/1.16 fof(f5384,plain,(
% 5.14/1.16 spl0_217 <=> X0=X1|X2=X0|X2=c_0|X1=c_0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5385,plain,(
% 5.14/1.16 ![X0,X1,X2]: (X0=X1|X2=X0|X2=c_0|X1=c_0|~spl0_217)),
% 5.14/1.16 inference(component_clause,[status(thm)],[f5384])).
% 5.14/1.16 fof(f5399,plain,(
% 5.14/1.16 spl0_218 <=> X0=X0|X0=c_0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5402,plain,(
% 5.14/1.16 ![X0]: (X0=X0|~c_0=c_0|X0=c_0|~spl0_215)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f5361])).
% 5.14/1.16 fof(f5403,plain,(
% 5.14/1.16 spl0_218|~spl0_0|~spl0_215),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5402,f5399,f51,f5298])).
% 5.14/1.16 fof(f5409,plain,(
% 5.14/1.16 spl0_220 <=> c_0=X0|~X0=c_0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5416,plain,(
% 5.14/1.16 ![X0,X1]: (X0=c_0|~X0=c_0|X1=c_0|~spl0_215)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f5361])).
% 5.14/1.16 fof(f5417,plain,(
% 5.14/1.16 spl0_220|spl0_216|~spl0_215),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5416,f5409,f5363,f5298])).
% 5.14/1.16 fof(f5594,plain,(
% 5.14/1.16 $false|~spl0_217|spl0_206),
% 5.14/1.16 inference(resolution,[status(thm)],[f5385,f4330])).
% 5.14/1.16 fof(f5595,plain,(
% 5.14/1.16 ~spl0_217|spl0_206),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f5594])).
% 5.14/1.16 fof(f5608,plain,(
% 5.14/1.16 spl0_221 <=> X0=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5611,plain,(
% 5.14/1.16 ![X0]: (X0=c_Binomial_Obinomial(v_sko__urX(v_evs_H_H),c_Suc(c_1))|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H_H)=v_evs_H_H|~spl0_209|spl0_197)),
% 5.14/1.16 inference(resolution,[status(thm)],[f4348,f4264])).
% 5.14/1.16 fof(f5612,plain,(
% 5.14/1.16 spl0_221|spl0_210|~spl0_209|spl0_197),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5611,f5608,f4350,f4347,f4262])).
% 5.14/1.16 fof(f5615,plain,(
% 5.14/1.16 ![X0]: (X0=c_0|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H_H)=v_evs_H_H|~spl0_209|spl0_206)),
% 5.14/1.16 inference(resolution,[status(thm)],[f4348,f4330])).
% 5.14/1.16 fof(f5616,plain,(
% 5.14/1.16 spl0_215|spl0_210|~spl0_209|spl0_206),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5615,f5298,f4350,f4347,f4328])).
% 5.14/1.16 fof(f5625,plain,(
% 5.14/1.16 spl0_223 <=> v_sko__urX(X0)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5640,plain,(
% 5.14/1.16 spl0_226 <=> v_sko__urX(c_0)=c_0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5643,plain,(
% 5.14/1.16 v_sko__urX(c_0)=c_0|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|~spl0_209|spl0_206),
% 5.14/1.16 inference(resolution,[status(thm)],[f4348,f4330])).
% 5.14/1.16 fof(f5644,plain,(
% 5.14/1.16 spl0_226|spl0_10|~spl0_209|spl0_206),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5643,f5640,f172,f4347,f4328])).
% 5.14/1.16 fof(f5645,plain,(
% 5.14/1.16 spl0_227 <=> v_sko__urX(X0)=c_0|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5648,plain,(
% 5.14/1.16 ![X0]: (v_sko__urX(X0)=c_0|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X0|~spl0_209|spl0_206)),
% 5.14/1.16 inference(resolution,[status(thm)],[f4348,f4330])).
% 5.14/1.16 fof(f5649,plain,(
% 5.14/1.16 spl0_227|spl0_10|~spl0_209|spl0_206),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5648,f5645,f172,f4347,f4328])).
% 5.14/1.16 fof(f5664,plain,(
% 5.14/1.16 ![X0]: (v_sko__urX(X0)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=c_0|v_sko__urX(v_evs_H_H)=X0|~spl0_209|spl0_206)),
% 5.14/1.16 inference(resolution,[status(thm)],[f4348,f4330])).
% 5.14/1.16 fof(f5665,plain,(
% 5.14/1.16 spl0_223|spl0_206|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5664,f5625,f4328,f4347])).
% 5.14/1.16 fof(f5684,plain,(
% 5.14/1.16 spl0_231 <=> v_sko__urX(v_evs_H_H)=X3|v_sko__urX(X4)=v_sko__urX(X3)|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5687,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=X3|v_sko__urX(X4)=v_sko__urX(X3)|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5688,plain,(
% 5.14/1.16 spl0_208|spl0_231|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5687,f4338,f5684,f4347])).
% 5.14/1.16 fof(f5689,plain,(
% 5.14/1.16 spl0_232 <=> v_sko__urX(v_evs_H_H)=X0|X1=X0|v_sko__urX(v_evs_H_H)=X1),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5692,plain,(
% 5.14/1.16 spl0_233 <=> v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X3)=X4|v_sko__urX(X2)=X4|v_sko__urX(v_evs_H_H)=X3),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5695,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(v_evs_H_H)=X0|X1=X0|v_sko__urX(v_evs_H_H)=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X3)=X4|v_sko__urX(X2)=X4|v_sko__urX(v_evs_H_H)=X3|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5696,plain,(
% 5.14/1.16 spl0_232|spl0_233|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5695,f5689,f5692,f4347])).
% 5.14/1.16 fof(f5697,plain,(
% 5.14/1.16 spl0_234 <=> v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_sko__urX(X2))=X3|X4=X3|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5700,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(v_evs_H_H)=X0|X1=X0|v_sko__urX(v_evs_H_H)=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_sko__urX(X2))=X3|X4=X3|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5701,plain,(
% 5.14/1.16 spl0_232|spl0_234|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5700,f5689,f5697,f4347])).
% 5.14/1.16 fof(f5702,plain,(
% 5.14/1.16 spl0_235 <=> X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X0)=X3|X4=X3|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5705,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=v_evs_H_H|v_sko__urX(X0)=X3|X4=X3|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5706,plain,(
% 5.14/1.16 spl0_235|spl0_210|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5705,f5702,f4350,f4347])).
% 5.14/1.16 fof(f5707,plain,(
% 5.14/1.16 spl0_236 <=> X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X3)=X4|X0=X4|v_sko__urX(v_evs_H_H)=X3),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5710,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=v_evs_H_H|v_sko__urX(X3)=X4|X0=X4|v_sko__urX(v_evs_H_H)=X3|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5711,plain,(
% 5.14/1.16 spl0_236|spl0_210|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5710,f5707,f4350,f4347])).
% 5.14/1.16 fof(f5722,plain,(
% 5.14/1.16 spl0_239 <=> X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|X4=X0|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5725,plain,(
% 5.14/1.16 spl0_240 <=> v_sko__urX(v_evs_H_H)=X3|v_sko__urX(v_evs_H_H)=X3),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5728,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (X0=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=X3|X4=X0|v_sko__urX(v_evs_H_H)=X4|v_sko__urX(v_evs_H_H)=X3|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5729,plain,(
% 5.14/1.16 spl0_239|spl0_240|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5728,f5722,f5725,f4347])).
% 5.14/1.16 fof(f5730,plain,(
% 5.14/1.16 spl0_241 <=> v_sko__urX(X0)=X1|X2=X1|v_sko__urX(X3)=X2|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(v_evs_H_H)=X3),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5733,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(X0)=X1|X2=X1|v_sko__urX(X3)=X2|v_sko__urX(v_evs_H_H)=X0|X4=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X4|v_sko__urX(v_evs_H_H)=X3|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5734,plain,(
% 5.14/1.16 spl0_241|spl0_240|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5733,f5730,f5725,f4347])).
% 5.14/1.16 fof(f5735,plain,(
% 5.14/1.16 spl0_242 <=> v_sko__urX(X0)=X1|X2=X1|X3=X2|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(X4)=X3|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5738,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(X0)=X1|X2=X1|X3=X2|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(X4)=X3|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5739,plain,(
% 5.14/1.16 spl0_242|spl0_10|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5738,f5735,f172,f4347])).
% 5.14/1.16 fof(f5746,plain,(
% 5.14/1.16 spl0_243 <=> v_sko__urX(X0)=X1|X2=X1|v_sko__urX(X3)=X2|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(X4)=X3|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5749,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(X0)=X1|X2=X1|v_sko__urX(X3)=X2|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(X4)=X3|v_sko__urX(v_evs_H_H)=v_evs_H_H|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5750,plain,(
% 5.14/1.16 spl0_243|spl0_210|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5749,f5746,f4350,f4347])).
% 5.14/1.16 fof(f5751,plain,(
% 5.14/1.16 spl0_244 <=> v_sko__urX(X4)=v_evs_H_H|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5754,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(X0)=X1|X2=X1|v_sko__urX(X3)=X2|v_sko__urX(v_evs_H_H)=X0|v_sko__urX(X4)=v_evs_H_H|v_sko__urX(v_evs_H_H)=X3|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5755,plain,(
% 5.14/1.16 spl0_241|spl0_244|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5754,f5730,f5751,f4347])).
% 5.14/1.16 fof(f5756,plain,(
% 5.14/1.16 spl0_245 <=> v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X3)=X0|v_sko__urX(v_evs_H_H)=X3),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5759,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X3)=X0|X4=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X4|v_sko__urX(v_evs_H_H)=X3|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5760,plain,(
% 5.14/1.16 spl0_245|spl0_240|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5759,f5756,f5725,f4347])).
% 5.14/1.16 fof(f5761,plain,(
% 5.14/1.16 spl0_246 <=> v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|X3=X0|v_sko__urX(X4)=X3|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5764,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|X3=X0|v_sko__urX(X4)=X3|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5765,plain,(
% 5.14/1.16 spl0_246|spl0_10|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5764,f5761,f172,f4347])).
% 5.14/1.16 fof(f5775,plain,(
% 5.14/1.16 spl0_248 <=> v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X3)=X0|v_sko__urX(X4)=X3|v_sko__urX(v_evs_H_H)=X4),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5778,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X3)=X0|v_sko__urX(X4)=X3|v_sko__urX(v_evs_H_H)=v_evs_H_H|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5779,plain,(
% 5.14/1.16 spl0_248|spl0_210|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5778,f5775,f4350,f4347])).
% 5.14/1.16 fof(f5780,plain,(
% 5.14/1.16 ![X0,X1,X2,X3,X4]: (v_sko__urX(X0)=X1|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(X3)=X0|v_sko__urX(X4)=v_evs_H_H|v_sko__urX(v_evs_H_H)=X3|v_sko__urX(v_evs_H_H)=X4|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4348])).
% 5.14/1.16 fof(f5781,plain,(
% 5.14/1.16 spl0_245|spl0_244|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5780,f5756,f5751,f4347])).
% 5.14/1.16 fof(f5806,plain,(
% 5.14/1.16 spl0_253 <=> c_lessequals(X0,c_Binomial_Obinomial(X1,c_Suc(c_1)),tc_nat)|X2=X1|v_sko__urX(v_evs_H_H)=X2),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5809,plain,(
% 5.14/1.16 ![X0,X1,X2]: (c_lessequals(X0,c_Binomial_Obinomial(X1,c_Suc(c_1)),tc_nat)|X2=X1|v_sko__urX(v_evs_H_H)=X2|v_sko__urX(v_evs_H_H)=v_evs_H_H|~spl0_118|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f3040])).
% 5.14/1.16 fof(f5810,plain,(
% 5.14/1.16 spl0_253|spl0_210|~spl0_118|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5809,f5806,f4350,f3039,f4347])).
% 5.14/1.16 fof(f5811,plain,(
% 5.14/1.16 spl0_254 <=> ~v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(X0,c_Suc(c_1))|X1=X0|v_sko__urX(v_evs_H_H)=X1),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5814,plain,(
% 5.14/1.16 ![X0,X1]: (~v_sko__urX(v_evs_H_H)=c_Binomial_Obinomial(X0,c_Suc(c_1))|X1=X0|v_sko__urX(v_evs_H_H)=X1|v_sko__urX(v_evs_H_H)=v_evs_H_H|spl0_197|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4264])).
% 5.14/1.16 fof(f5815,plain,(
% 5.14/1.16 spl0_254|spl0_210|spl0_197|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5814,f5811,f4350,f4262,f4347])).
% 5.14/1.16 fof(f5831,plain,(
% 5.14/1.16 spl0_258 <=> ~X0=c_0|X1=X0|v_sko__urX(v_evs_H_H)=X1),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5834,plain,(
% 5.14/1.16 ![X0,X1]: (~X0=c_0|X1=X0|v_sko__urX(v_evs_H_H)=X1|v_sko__urX(v_evs_H_H)=v_evs_H_H|spl0_206|~spl0_209)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f4348,f4330])).
% 5.14/1.16 fof(f5835,plain,(
% 5.14/1.16 spl0_258|spl0_210|spl0_206|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5834,f5831,f4350,f4328,f4347])).
% 5.14/1.16 fof(f5860,plain,(
% 5.14/1.16 spl0_259 <=> X0=X1|~X1=X0|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5863,plain,(
% 5.14/1.16 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=v_evs_H_H|~X1=X0|v_sko__urX(v_evs_H_H)=X0|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5864,plain,(
% 5.14/1.16 spl0_259|spl0_210|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5863,f5860,f4350,f4347])).
% 5.14/1.16 fof(f5868,plain,(
% 5.14/1.16 spl0_260 <=> X0=X1|v_sko__urX(v_evs_H_H)=X0|~X1=v_evs_H_H),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5871,plain,(
% 5.14/1.16 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=X0|~X1=v_evs_H_H|v_sko__urX(v_evs_H_H)=v_evs_H_H|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5872,plain,(
% 5.14/1.16 spl0_260|spl0_210|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5871,f5868,f4350,f4347])).
% 5.14/1.16 fof(f5878,plain,(
% 5.14/1.16 spl0_261 <=> v_sko__urX(v_evs_H_H)=X1|~v_sko__urX(X1)=v_sko__urX(v_evs_H_H)),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5881,plain,(
% 5.14/1.16 ![X0,X1]: (X0=X0|v_sko__urX(v_evs_H_H)=X1|~v_sko__urX(X1)=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5882,plain,(
% 5.14/1.16 spl0_213|spl0_261|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5881,f4487,f5878,f4347])).
% 5.14/1.16 fof(f5883,plain,(
% 5.14/1.16 spl0_262 <=> ~v_sko__urX(X1)=X1|v_sko__urX(v_evs_H_H)=X1),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5886,plain,(
% 5.14/1.16 ![X0,X1]: (X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X0|~v_sko__urX(X1)=X1|v_sko__urX(v_evs_H_H)=X1|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5887,plain,(
% 5.14/1.16 spl0_240|spl0_262|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5886,f5725,f5883,f4347])).
% 5.14/1.16 fof(f5890,plain,(
% 5.14/1.16 spl0_263 <=> v_sko__urX(X0)=X1|v_sko__urX(v_evs_H_H)=X0|~X1=v_sko__urX(v_evs_H_H)),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5893,plain,(
% 5.14/1.16 ![X0,X1]: (v_sko__urX(X0)=X1|v_sko__urX(v_evs_H_H)=X0|~X1=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5894,plain,(
% 5.14/1.16 spl0_263|spl0_10|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5893,f5890,f172,f4347])).
% 5.14/1.16 fof(f5895,plain,(
% 5.14/1.16 ![X0,X1,X2]: (v_sko__urX(X0)=X1|v_sko__urX(v_evs_H_H)=X0|~X1=v_sko__urX(v_evs_H_H)|X2=v_sko__urX(v_evs_H_H)|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5896,plain,(
% 5.14/1.16 spl0_263|spl0_214|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5895,f5890,f4496,f4347])).
% 5.14/1.16 fof(f5897,plain,(
% 5.14/1.16 spl0_264 <=> v_sko__urX(X0)=X1|~X1=X0|v_sko__urX(v_evs_H_H)=X0),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5900,plain,(
% 5.14/1.16 ![X0,X1]: (v_sko__urX(X0)=X1|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|~X1=X0|v_sko__urX(v_evs_H_H)=X0|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5901,plain,(
% 5.14/1.16 spl0_264|spl0_10|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5900,f5897,f172,f4347])).
% 5.14/1.16 fof(f5907,plain,(
% 5.14/1.16 ![X0,X1]: (v_sko__urX(X0)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X0|~X1=X1|v_sko__urX(v_evs_H_H)=X1|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5908,plain,(
% 5.14/1.16 spl0_223|spl0_211|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5907,f5625,f4477,f4347])).
% 5.14/1.16 fof(f5912,plain,(
% 5.14/1.16 spl0_265 <=> v_sko__urX(X0)=X0|X0=v_sko__urX(v_evs_H_H)),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5915,plain,(
% 5.14/1.16 ![X0,X1]: (v_sko__urX(X0)=X0|v_sko__urX(v_evs_H_H)=X1|~X1=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5916,plain,(
% 5.14/1.16 spl0_265|spl0_212|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5915,f5912,f4482,f4347])).
% 5.14/1.16 fof(f5917,plain,(
% 5.14/1.16 spl0_266 <=> X0=X1|~X0=X1|v_sko__urX(v_evs_H_H)=X1),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5920,plain,(
% 5.14/1.16 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=v_evs_H_H|~X0=X1|v_sko__urX(v_evs_H_H)=X1|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5921,plain,(
% 5.14/1.16 spl0_266|spl0_210|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5920,f5917,f4350,f4347])).
% 5.14/1.16 fof(f5929,plain,(
% 5.14/1.16 spl0_267 <=> v_sko__urX(v_sko__urX(v_evs_H_H))=X0|X1=X0|~X1=v_sko__urX(v_evs_H_H)),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5932,plain,(
% 5.14/1.16 ![X0,X1]: (v_sko__urX(v_sko__urX(v_evs_H_H))=X0|X1=X0|~X1=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5933,plain,(
% 5.14/1.16 spl0_267|spl0_10|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5932,f5929,f172,f4347])).
% 5.14/1.16 fof(f5939,plain,(
% 5.14/1.16 spl0_268 <=> v_sko__urX(X0)=X1|X0=X1|X0=v_sko__urX(v_evs_H_H)),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5942,plain,(
% 5.14/1.16 ![X0,X1]: (v_sko__urX(X0)=X1|X0=X1|~v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|X0=v_sko__urX(v_evs_H_H)|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5943,plain,(
% 5.14/1.16 spl0_268|~spl0_10|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5942,f5939,f172,f4347])).
% 5.14/1.16 fof(f5946,plain,(
% 5.14/1.16 spl0_269 <=> ~X1=v_sko__urX(X1)|v_sko__urX(v_evs_H_H)=v_sko__urX(X1)),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5949,plain,(
% 5.14/1.16 ![X0,X1]: (X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=X0|~X1=v_sko__urX(X1)|v_sko__urX(v_evs_H_H)=v_sko__urX(X1)|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5950,plain,(
% 5.14/1.16 spl0_240|spl0_269|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5949,f5725,f5946,f4347])).
% 5.14/1.16 fof(f5951,plain,(
% 5.14/1.16 spl0_270 <=> v_sko__urX(X0)=X1|~X0=X1|v_sko__urX(v_evs_H_H)=X1),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5954,plain,(
% 5.14/1.16 ![X0,X1]: (v_sko__urX(X0)=X1|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|~X0=X1|v_sko__urX(v_evs_H_H)=X1|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5955,plain,(
% 5.14/1.16 spl0_270|spl0_10|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5954,f5951,f172,f4347])).
% 5.14/1.16 fof(f5961,plain,(
% 5.14/1.16 spl0_271 <=> v_sko__urX(X0)=X1|v_sko__urX(v_evs_H_H)=X1|~X0=v_sko__urX(v_evs_H_H)),
% 5.14/1.16 introduced(split_symbol_definition)).
% 5.14/1.16 fof(f5964,plain,(
% 5.14/1.16 ![X0,X1]: (v_sko__urX(X0)=X1|v_sko__urX(v_evs_H_H)=X1|~X0=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|~spl0_209)),
% 5.14/1.16 inference(equality_factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5965,plain,(
% 5.14/1.16 spl0_271|spl0_10|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5964,f5961,f172,f4347])).
% 5.14/1.16 fof(f5972,plain,(
% 5.14/1.16 v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|v_sko__urX(v_evs_H_H)=v_evs_H_H|~spl0_209),
% 5.14/1.16 inference(factoring,[status(esa)],[f4348])).
% 5.14/1.16 fof(f5973,plain,(
% 5.14/1.16 spl0_10|spl0_210|~spl0_209),
% 5.14/1.16 inference(split_clause,[status(thm)],[f5972,f172,f4350,f4347])).
% 5.14/1.16 fof(f5987,plain,(
% 5.14/1.16 v_evs_H_H=v_sko__urX(v_evs_H)|~spl0_210|~spl0_15),
% 5.14/1.16 inference(backward_demodulation,[status(thm)],[f4351,f275])).
% 5.14/1.16 fof(f5988,plain,(
% 5.14/1.16 v_evs_H_H=v_sko__urX(v_evs_H_H)|~spl0_13|~spl0_34|~spl0_33|~spl0_210|~spl0_15),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f842,f5987])).
% 5.14/1.16 fof(f6102,plain,(
% 5.14/1.16 v_evs_H_H=c_plus(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)|~spl0_13|~spl0_34|~spl0_33|~spl0_210|~spl0_15|~spl0_193),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f5988,f4245])).
% 5.14/1.16 fof(f6103,plain,(
% 5.14/1.16 v_evs_H_H=c_plus(v_evs_H_H,v_sko__urX(v_evs_H_H),tc_nat)|~spl0_13|~spl0_34|~spl0_33|~spl0_210|~spl0_15|~spl0_193),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f5988,f6102])).
% 5.14/1.16 fof(f6104,plain,(
% 5.14/1.16 v_evs_H_H=c_plus(v_evs_H_H,v_evs_H_H,tc_nat)|~spl0_13|~spl0_34|~spl0_33|~spl0_210|~spl0_15|~spl0_193),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f5988,f6103])).
% 5.14/1.16 fof(f6211,plain,(
% 5.14/1.16 ~c_plus(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)=v_evs_H_H|~spl0_210|~spl0_15|~spl0_13|~spl0_34|~spl0_33|spl0_52),
% 5.14/1.16 inference(backward_demodulation,[status(thm)],[f5988,f5240])).
% 5.14/1.16 fof(f6212,plain,(
% 5.14/1.16 ~c_plus(v_evs_H_H,v_sko__urX(v_evs_H_H),tc_nat)=v_evs_H_H|~spl0_210|~spl0_15|~spl0_13|~spl0_34|~spl0_33|spl0_52),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f5988,f6211])).
% 5.14/1.16 fof(f6213,plain,(
% 5.14/1.16 ~c_plus(v_evs_H_H,v_evs_H_H,tc_nat)=v_evs_H_H|~spl0_210|~spl0_15|~spl0_13|~spl0_34|~spl0_33|spl0_52),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f5988,f6212])).
% 5.14/1.16 fof(f6214,plain,(
% 5.14/1.16 ~v_evs_H_H=v_evs_H_H|~spl0_193|~spl0_210|~spl0_15|~spl0_13|~spl0_34|~spl0_33|spl0_52),
% 5.14/1.16 inference(forward_demodulation,[status(thm)],[f6104,f6213])).
% 5.14/1.16 fof(f6215,plain,(
% 5.14/1.16 $false|~spl0_193|~spl0_210|~spl0_15|~spl0_13|~spl0_34|~spl0_33|spl0_52),
% 5.14/1.16 inference(trivial_equality_resolution,[status(esa)],[f6214])).
% 5.14/1.16 fof(f6216,plain,(
% 5.14/1.16 ~spl0_193|~spl0_210|~spl0_15|~spl0_13|~spl0_34|~spl0_33|spl0_52),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f6215])).
% 5.14/1.16 fof(f6545,plain,(
% 5.14/1.16 spl0_11|~spl0_197|~spl0_198),
% 5.14/1.16 inference(split_clause,[status(thm)],[f4966,f175,f4262,f4265])).
% 5.14/1.16 fof(f6546,plain,(
% 5.14/1.16 spl0_27|~spl0_197|~spl0_199),
% 5.14/1.16 inference(split_clause,[status(thm)],[f4962,f615,f4262,f4270])).
% 5.14/1.16 fof(f6547,plain,(
% 5.14/1.16 spl0_29|~spl0_197|~spl0_200),
% 5.14/1.16 inference(split_clause,[status(thm)],[f4958,f627,f4262,f4275])).
% 5.14/1.16 fof(f6716,plain,(
% 5.14/1.16 ~spl0_15|~spl0_39|spl0_6),
% 5.14/1.16 inference(split_clause,[status(thm)],[f2189,f274,f908,f155])).
% 5.14/1.16 fof(f6818,plain,(
% 5.14/1.16 ![X0,X1]: (~c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)|X1=X0|v_sko__urX(v_evs_H_H)=X0|X1=v_sko__urX(v_evs_H_H)|~spl0_69|~spl0_15|~spl0_4)),
% 5.14/1.16 inference(resolution,[status(thm)],[f29,f4941])).
% 5.14/1.16 fof(f6819,plain,(
% 5.14/1.16 ![X0,X1]: (X0=X1|v_sko__urX(v_evs_H_H)=X1|X0=v_sko__urX(v_evs_H_H)|~spl0_69|~spl0_15|~spl0_4)),
% 5.14/1.16 inference(forward_subsumption_resolution,[status(thm)],[f6818,f1689])).
% 5.14/1.16 fof(f6857,plain,(
% 5.14/1.16 ![X0]: (X0=c_0|X0=v_sko__urX(v_evs_H_H)|~spl0_69|~spl0_15|~spl0_4|spl0_206)),
% 5.14/1.16 inference(resolution,[status(thm)],[f6819,f4330])).
% 5.14/1.16 fof(f6858,plain,(
% 5.14/1.16 spl0_215|~spl0_69|~spl0_15|~spl0_4|spl0_206),
% 5.14/1.16 inference(split_clause,[status(thm)],[f6857,f5298,f1688,f274,f105,f4328])).
% 5.14/1.16 fof(f6943,plain,(
% 5.14/1.16 c_less(v_sko__urX(v_evs_H_H),c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_4|~spl0_2),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f2259,f66])).
% 5.14/1.16 fof(f7202,plain,(
% 5.14/1.16 v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_113),
% 5.14/1.16 inference(resolution,[status(thm)],[f3793,f24])).
% 5.14/1.16 fof(f7225,plain,(
% 5.14/1.16 ~c_less(v_sko__urX(v_evs_H_H),c_Suc(c_Binomial_Obinomial(c_Suc(c_Suc(v_sko__urX(v_evs_H_H))),c_Suc(c_Suc(c_1)))),tc_nat)|~spl0_113),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f7202,f28])).
% 5.14/1.16 fof(f7226,plain,(
% 5.14/1.16 $false|~spl0_4|~spl0_2|~spl0_113),
% 5.14/1.16 inference(forward_subsumption_resolution,[status(thm)],[f7225,f6943])).
% 5.14/1.16 fof(f7227,plain,(
% 5.14/1.16 ~spl0_4|~spl0_2|~spl0_113),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f7226])).
% 5.14/1.16 fof(f7348,plain,(
% 5.14/1.16 ![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_15|~spl0_4)),
% 5.14/1.16 inference(resolution,[status(thm)],[f4027,f24])).
% 5.14/1.16 fof(f7395,plain,(
% 5.14/1.16 ![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_15|~spl0_4)),
% 5.14/1.16 inference(paramodulation,[status(thm)],[f7348,f28])).
% 5.14/1.16 fof(f7396,plain,(
% 5.14/1.16 ![X0]: (v_sko__urX(v_evs_H_H)=c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)|~spl0_15|~spl0_4)),
% 5.14/1.16 inference(forward_subsumption_resolution,[status(thm)],[f7395,f62])).
% 5.14/1.16 fof(f7397,plain,(
% 5.14/1.16 ![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)=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_4)),
% 5.14/1.16 inference(backward_demodulation,[status(thm)],[f7396,f7348])).
% 5.14/1.16 fof(f7398,plain,(
% 5.14/1.16 spl0_19|spl0_10|~spl0_15|~spl0_4),
% 5.14/1.16 inference(split_clause,[status(thm)],[f7397,f348,f172,f274,f105])).
% 5.14/1.16 fof(f7399,plain,(
% 5.14/1.16 ~v_sko__urX(v_evs_H_H)=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_4|spl0_193),
% 5.14/1.16 inference(backward_demodulation,[status(thm)],[f7396,f4246])).
% 5.14/1.16 fof(f7400,plain,(
% 5.14/1.16 $false|~spl0_15|~spl0_4|spl0_193),
% 5.14/1.16 inference(trivial_equality_resolution,[status(esa)],[f7399])).
% 5.14/1.16 fof(f7401,plain,(
% 5.14/1.16 ~spl0_15|~spl0_4|spl0_193),
% 5.14/1.16 inference(contradiction_clause,[status(thm)],[f7400])).
% 5.14/1.16 fof(f7404,plain,(
% 5.14/1.16 ![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_15|~spl0_4)),
% 5.14/1.16 inference(backward_demodulation,[status(thm)],[f7396,f120])).
% 5.14/1.16 fof(f7405,plain,(
% 5.14/1.16 spl0_19|spl0_11|~spl0_15|~spl0_4),
% 5.14/1.16 inference(split_clause,[status(thm)],[f7404,f348,f175,f274,f105])).
% 5.14/1.16 fof(f7431,plain,(
% 5.14/1.16 c_Binomial_Obinomial(c_Suc(c_Suc(c_Suc(v_sko__urX(v_evs_H_H)))),c_Suc(c_Suc(c_Suc(c_1))))=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.16 inference(backward_demodulation,[status(thm)],[f7396,f3894])).
% 5.14/1.16 fof(f7432,plain,(
% 5.14/1.16 spl0_16|~spl0_15|~spl0_6|~spl0_4|~spl0_2),
% 5.14/1.16 inference(split_clause,[status(thm)],[f7431,f292,f274,f155,f105,f96])).
% 5.14/1.16 fof(f7508,plain,(
% 5.14/1.16 ![X0]: (c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)=v_sko__urX(v_evs_H_H)|~spl0_15|~spl0_42)),
% 5.14/1.16 inference(backward_demodulation,[status(thm)],[f275,f1001])).
% 5.14/1.16 fof(f7509,plain,(
% 5.14/1.16 spl0_19|~spl0_15|~spl0_42),
% 5.14/1.16 inference(split_clause,[status(thm)],[f7508,f348,f274,f1000])).
% 5.14/1.16 fof(f7510,plain,(
% 5.14/1.16 spl0_16|~spl0_42|~spl0_39),
% 5.14/1.16 inference(split_clause,[status(thm)],[f1014,f292,f1000,f908])).
% 5.14/1.16 fof(f7559,plain,(
% 5.14/1.16 $false),
% 5.14/1.16 inference(sat_refutation,[status(thm)],[f58,f60,f103,f112,f170,f179,f221,f223,f269,f278,f304,f412,f460,f475,f536,f539,f545,f567,f684,f762,f905,f907,f976,f983,f986,f1153,f1227,f1271,f1273,f1692,f1741,f1750,f1906,f2052,f2092,f2188,f2235,f2242,f2353,f2550,f2558,f2569,f2571,f2588,f2590,f2608,f2680,f2688,f2704,f2725,f2730,f2745,f2770,f2778,f2789,f2793,f2797,f2846,f2850,f2904,f2992,f2994,f3002,f3145,f3153,f3167,f3200,f3374,f3382,f3390,f3397,f3402,f3568,f3571,f3597,f3614,f3652,f3657,f3676,f3684,f3692,f3914,f3919,f3924,f3944,f3957,f3964,f4082,f4146,f4491,f4517,f4521,f4525,f4529,f4533,f4537,f4541,f4583,f4585,f4601,f4607,f4729,f4784,f4788,f4803,f4806,f4887,f5225,f5289,f5304,f5367,f5371,f5403,f5417,f5595,f5612,f5616,f5644,f5649,f5665,f5688,f5696,f5701,f5706,f5711,f5729,f5734,f5739,f5750,f5755,f5760,f5765,f5779,f5781,f5810,f5815,f5835,f5864,f5872,f5882,f5887,f5894,f5896,f5901,f5908,f5916,f5921,f5933,f5943,f5950,f5955,f5965,f5973,f6216,f6545,f6546,f6547,f6716,f6858,f7227,f7398,f7401,f7405,f7432,f7509,f7510])).
% 5.14/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 5.50/1.18 % Elapsed time: 0.840513 seconds
% 5.50/1.18 % CPU time: 5.588254 seconds
% 5.50/1.18 % Total memory used: 137.599 MB
% 5.50/1.18 % Net memory used: 134.444 MB
%------------------------------------------------------------------------------