%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV486+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:51:00 PM UTC 2026
% Result : Theorem 5.47s 1.27s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV486+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:53:05 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 5.47/1.27 % Refutation found
% 5.47/1.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.47/1.27 % SZS output start CNFRefutation for theBenchmark
% 5.47/1.27 fof(f1,axiom,(
% 5.47/1.27 (! [I,J] :( int_leq(I,J)<=> ( int_less(I,J)| I = J ) ) )),
% 5.47/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.47/1.27 fof(f2,axiom,(
% 5.47/1.27 (! [I,J,K] :( ( int_less(I,J)& int_less(J,K) )=> int_less(I,K) ) )),
% 5.47/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.47/1.27 fof(f9,axiom,(
% 5.47/1.27 (! [I,J] :( int_less(I,J)<=> (? [K] :( plus(I,K) = J& int_less(int_zero,K) ) )) )),
% 5.47/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.47/1.27 fof(f10,axiom,(
% 5.47/1.27 (! [I] :( int_less(int_zero,I)<=> int_leq(int_one,I) ) )),
% 5.47/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.47/1.27 fof(f12,hypothesis,(
% 5.47/1.27 (! [I,J] :( ( int_leq(int_one,I)& int_leq(I,n)& int_leq(int_one,J)& int_leq(J,n) )=> ( (! [C] :( ( int_less(int_zero,C)& I = plus(J,C) )=> (! [K] :( ( int_leq(int_one,K)& int_leq(K,J) )=> a(plus(K,C),K) = real_zero ) )))& (! [K] :( ( int_leq(int_one,K)& int_leq(K,J) )=> a(K,K) = real_one ))& (! [C] :( ( int_less(int_zero,C)& J = plus(I,C) )=> (! [K] :( ( int_leq(int_one,K)& int_leq(K,I) )=> a(K,plus(K,C)) = real_zero ) )) )) ) )),
% 5.47/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.47/1.27 fof(f13,conjecture,(
% 5.47/1.27 (! [I,J] :( ( int_leq(int_one,I)& int_less(I,J)& int_leq(J,n) )=> a(I,J) = real_zero ) )),
% 5.47/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.47/1.27 fof(f14,negated_conjecture,(
% 5.47/1.27 ~((! [I,J] :( ( int_leq(int_one,I)& int_less(I,J)& int_leq(J,n) )=> a(I,J) = real_zero ) ))),
% 5.47/1.27 inference(negated_conjecture,[status(cth)],[f13])).
% 5.47/1.27 fof(f15,plain,(
% 5.47/1.27 ![I,J]: ((~int_leq(I,J)|(int_less(I,J)|I=J))&(int_leq(I,J)|(~int_less(I,J)&~I=J)))),
% 5.47/1.27 inference(NNF_transformation,[status(thm)],[f1])).
% 5.47/1.27 fof(f16,plain,(
% 5.47/1.27 (![I,J]: (~int_leq(I,J)|(int_less(I,J)|I=J)))&(![I,J]: (int_leq(I,J)|(~int_less(I,J)&~I=J)))),
% 5.47/1.27 inference(miniscoping,[status(thm)],[f15])).
% 5.47/1.27 fof(f17,plain,(
% 5.47/1.27 ![X0,X1]: (~int_leq(X0,X1)|int_less(X0,X1)|X0=X1)),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f16])).
% 5.47/1.27 fof(f18,plain,(
% 5.47/1.27 ![X0,X1]: (int_leq(X0,X1)|~int_less(X0,X1))),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f16])).
% 5.47/1.27 fof(f19,plain,(
% 5.47/1.27 ![X0,X1]: (int_leq(X0,X1)|~X0=X1)),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f16])).
% 5.47/1.27 fof(f20,plain,(
% 5.47/1.27 ![I,J,K]: ((~int_less(I,J)|~int_less(J,K))|int_less(I,K))),
% 5.47/1.27 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 5.47/1.27 fof(f21,plain,(
% 5.47/1.27 ![I,K]: ((![J]: (~int_less(I,J)|~int_less(J,K)))|int_less(I,K))),
% 5.47/1.27 inference(miniscoping,[status(thm)],[f20])).
% 5.47/1.27 fof(f22,plain,(
% 5.47/1.27 ![X0,X1,X2]: (~int_less(X0,X1)|~int_less(X1,X2)|int_less(X0,X2))),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f21])).
% 5.47/1.27 fof(f31,plain,(
% 5.47/1.27 ![I,J]: ((~int_less(I,J)|(?[K]: (plus(I,K)=J&int_less(int_zero,K))))&(int_less(I,J)|(![K]: (~plus(I,K)=J|~int_less(int_zero,K)))))),
% 5.47/1.27 inference(NNF_transformation,[status(thm)],[f9])).
% 5.47/1.27 fof(f32,plain,(
% 5.47/1.27 (![I,J]: (~int_less(I,J)|(?[K]: (plus(I,K)=J&int_less(int_zero,K)))))&(![I,J]: (int_less(I,J)|(![K]: (~plus(I,K)=J|~int_less(int_zero,K)))))),
% 5.47/1.27 inference(miniscoping,[status(thm)],[f31])).
% 5.47/1.27 fof(f33,plain,(
% 5.47/1.27 (![I,J]: (~int_less(I,J)|(plus(I,sK0_skl(J,I))=J&int_less(int_zero,sK0_skl(J,I)))))&(![I,J]: (int_less(I,J)|(![K]: (~plus(I,K)=J|~int_less(int_zero,K)))))),
% 5.47/1.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(K,sK0_skl(J,I))],[f32])).
% 5.47/1.27 fof(f34,plain,(
% 5.47/1.27 ![X0,X1]: (~int_less(X0,X1)|plus(X0,sK0_skl(X1,X0))=X1)),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f33])).
% 5.47/1.27 fof(f35,plain,(
% 5.47/1.27 ![X0,X1]: (~int_less(X0,X1)|int_less(int_zero,sK0_skl(X1,X0)))),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f33])).
% 5.47/1.27 fof(f37,plain,(
% 5.47/1.27 ![I]: ((~int_less(int_zero,I)|int_leq(int_one,I))&(int_less(int_zero,I)|~int_leq(int_one,I)))),
% 5.47/1.27 inference(NNF_transformation,[status(thm)],[f10])).
% 5.47/1.27 fof(f38,plain,(
% 5.47/1.27 (![I]: (~int_less(int_zero,I)|int_leq(int_one,I)))&(![I]: (int_less(int_zero,I)|~int_leq(int_one,I)))),
% 5.47/1.27 inference(miniscoping,[status(thm)],[f37])).
% 5.47/1.27 fof(f39,plain,(
% 5.47/1.27 ![X0]: (~int_less(int_zero,X0)|int_leq(int_one,X0))),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f38])).
% 5.47/1.27 fof(f40,plain,(
% 5.47/1.27 ![X0]: (int_less(int_zero,X0)|~int_leq(int_one,X0))),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f38])).
% 5.47/1.27 fof(f42,plain,(
% 5.47/1.27 ![I,J]: ((((~int_leq(int_one,I)|~int_leq(I,n))|~int_leq(int_one,J))|~int_leq(J,n))|(((![C]: ((~int_less(int_zero,C)|~I=plus(J,C))|(![K]: ((~int_leq(int_one,K)|~int_leq(K,J))|a(plus(K,C),K)=real_zero))))&(![K]: ((~int_leq(int_one,K)|~int_leq(K,J))|a(K,K)=real_one)))&(![C]: ((~int_less(int_zero,C)|~J=plus(I,C))|(![K]: ((~int_leq(int_one,K)|~int_leq(K,I))|a(K,plus(K,C))=real_zero))))))),
% 5.47/1.27 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 5.47/1.27 fof(f45,plain,(
% 5.47/1.27 ![X0,X1,X2,X3]: (~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,X1)|~int_leq(X1,n)|~int_less(int_zero,X2)|~X1=plus(X0,X2)|~int_leq(int_one,X3)|~int_leq(X3,X0)|a(X3,plus(X3,X2))=real_zero)),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f42])).
% 5.47/1.27 fof(f46,plain,(
% 5.47/1.27 (?[I,J]: (((int_leq(int_one,I)&int_less(I,J))&int_leq(J,n))&~a(I,J)=real_zero))),
% 5.47/1.27 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 5.47/1.27 fof(f47,plain,(
% 5.47/1.27 (((int_leq(int_one,sK1_skl)&int_less(sK1_skl,sK2_skl))&int_leq(sK2_skl,n))&~a(sK1_skl,sK2_skl)=real_zero)),
% 5.47/1.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(I,sK1_skl),skolemize(J,sK2_skl)],[f46])).
% 5.47/1.27 fof(f48,plain,(
% 5.47/1.27 int_leq(int_one,sK1_skl)),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f47])).
% 5.47/1.27 fof(f49,plain,(
% 5.47/1.27 int_less(sK1_skl,sK2_skl)),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f47])).
% 5.47/1.27 fof(f50,plain,(
% 5.47/1.27 int_leq(sK2_skl,n)),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f47])).
% 5.47/1.27 fof(f51,plain,(
% 5.47/1.27 ~a(sK1_skl,sK2_skl)=real_zero),
% 5.47/1.27 inference(cnf_transformation,[status(thm)],[f47])).
% 5.47/1.27 fof(f59,plain,(
% 5.47/1.27 ![X0]: (int_leq(X0,X0))),
% 5.47/1.27 inference(destructive_equality_resolution,[status(thm)],[f19])).
% 5.47/1.27 fof(f63,plain,(
% 5.47/1.27 ![X0,X1,X2]: (~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_less(int_zero,X1)|~int_leq(int_one,X2)|~int_leq(X2,X0)|a(X2,plus(X2,X1))=real_zero)),
% 5.47/1.27 inference(destructive_equality_resolution,[status(thm)],[f45])).
% 5.47/1.27 fof(f73,plain,(
% 5.47/1.27 int_leq(sK1_skl,sK2_skl)),
% 5.47/1.27 inference(resolution,[status(thm)],[f18,f49])).
% 5.47/1.27 fof(f76,plain,(
% 5.47/1.27 ![X0]: (~int_less(sK2_skl,X0)|int_less(sK1_skl,X0))),
% 5.47/1.27 inference(resolution,[status(thm)],[f22,f49])).
% 5.47/1.27 fof(f78,plain,(
% 5.47/1.27 ![X0]: (~int_less(X0,sK1_skl)|int_less(X0,sK2_skl))),
% 5.47/1.27 inference(resolution,[status(thm)],[f22,f49])).
% 5.47/1.27 fof(f93,plain,(
% 5.47/1.27 int_less(sK2_skl,n)|sK2_skl=n),
% 5.47/1.27 inference(resolution,[status(thm)],[f50,f17])).
% 5.47/1.27 fof(f94,definition,(
% 5.47/1.27 sQ4_spl <=> (int_less(sK2_skl,n))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f95,plain,(
% 5.47/1.27 int_less(sK2_skl,n)|~sQ4_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f94])).
% 5.47/1.27 fof(f97,definition,(
% 5.47/1.27 sQ5_spl <=> (sK2_skl=n)),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f98,plain,(
% 5.47/1.27 sK2_skl=n|~sQ5_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f97])).
% 5.47/1.27 fof(f100,plain,(
% 5.47/1.27 sQ4_spl|sQ5_spl),
% 5.47/1.27 inference(split_clause,[status(thm)],[f93,f94,f97])).
% 5.47/1.27 fof(f152,plain,(
% 5.47/1.27 plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl))=sK2_skl),
% 5.47/1.27 inference(resolution,[status(thm)],[f34,f49])).
% 5.47/1.27 fof(f160,plain,(
% 5.47/1.27 int_less(int_zero,sK0_skl(sK2_skl,sK1_skl))),
% 5.47/1.27 inference(resolution,[status(thm)],[f35,f49])).
% 5.47/1.27 fof(f167,definition,(
% 5.47/1.27 sQ10_spl <=> (int_less(int_zero,sK1_skl))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f168,plain,(
% 5.47/1.27 int_less(int_zero,sK1_skl)|~sQ10_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f167])).
% 5.47/1.27 fof(f169,plain,(
% 5.47/1.27 ~int_less(int_zero,sK1_skl)|sQ10_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f167])).
% 5.47/1.27 fof(f208,plain,(
% 5.47/1.27 int_less(sK1_skl,n)|~sQ4_spl),
% 5.47/1.27 inference(resolution,[status(thm)],[f76,f95])).
% 5.47/1.27 fof(f210,plain,(
% 5.47/1.27 int_less(int_zero,sK2_skl)|~sQ10_spl),
% 5.47/1.27 inference(resolution,[status(thm)],[f78,f168])).
% 5.47/1.27 fof(f267,plain,(
% 5.47/1.27 int_leq(sK1_skl,n)|~sQ4_spl),
% 5.47/1.27 inference(resolution,[status(thm)],[f208,f18])).
% 5.47/1.27 fof(f354,plain,(
% 5.47/1.27 int_less(int_zero,sK1_skl)),
% 5.47/1.27 inference(resolution,[status(thm)],[f40,f48])).
% 5.47/1.27 fof(f395,plain,(
% 5.47/1.27 int_leq(int_one,sK2_skl)|~sQ10_spl),
% 5.47/1.27 inference(resolution,[status(thm)],[f210,f39])).
% 5.47/1.27 fof(f492,definition,(
% 5.47/1.27 sQ16_spl <=> (int_leq(sK1_skl,n))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f494,plain,(
% 5.47/1.27 ~int_leq(sK1_skl,n)|sQ16_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f492])).
% 5.47/1.27 fof(f503,definition,(
% 5.47/1.27 sQ19_spl <=> (int_leq(sK1_skl,sK1_skl))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f505,plain,(
% 5.47/1.27 ~int_leq(sK1_skl,sK1_skl)|sQ19_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f503])).
% 5.47/1.27 fof(f513,definition,(
% 5.47/1.27 sQ21_spl <=> (int_leq(sK1_skl,sK2_skl))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f515,plain,(
% 5.47/1.27 ~int_leq(sK1_skl,sK2_skl)|sQ21_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f513])).
% 5.47/1.27 fof(f516,definition,(
% 5.47/1.27 sQ22_spl <=> (int_leq(sK2_skl,n))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f518,plain,(
% 5.47/1.27 ~int_leq(sK2_skl,n)|sQ22_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f516])).
% 5.47/1.27 fof(f547,plain,(
% 5.47/1.27 $false|~sQ4_spl|sQ16_spl),
% 5.47/1.27 inference(forward_subsumption_resolution,[status(thm)],[f494,f267])).
% 5.47/1.27 fof(f548,plain,(
% 5.47/1.27 ~sQ4_spl|sQ16_spl),
% 5.47/1.27 inference(contradiction_clause,[status(thm)],[f547])).
% 5.47/1.27 fof(f549,plain,(
% 5.47/1.27 $false|sQ21_spl),
% 5.47/1.27 inference(forward_subsumption_resolution,[status(thm)],[f515,f73])).
% 5.47/1.27 fof(f550,plain,(
% 5.47/1.27 sQ21_spl),
% 5.47/1.27 inference(contradiction_clause,[status(thm)],[f549])).
% 5.47/1.27 fof(f609,definition,(
% 5.47/1.27 sQ35_spl <=> (int_leq(int_one,sK1_skl))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f611,plain,(
% 5.47/1.27 ~int_leq(int_one,sK1_skl)|sQ35_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f609])).
% 5.47/1.27 fof(f616,definition,(
% 5.47/1.27 sQ37_spl <=> (int_leq(int_one,sK2_skl))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f617,plain,(
% 5.47/1.27 int_leq(int_one,sK2_skl)|~sQ37_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f616])).
% 5.47/1.27 fof(f618,plain,(
% 5.47/1.27 ~int_leq(int_one,sK2_skl)|sQ37_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f616])).
% 5.47/1.27 fof(f638,plain,(
% 5.47/1.27 $false|~sQ10_spl|sQ37_spl),
% 5.47/1.27 inference(forward_subsumption_resolution,[status(thm)],[f618,f395])).
% 5.47/1.27 fof(f639,plain,(
% 5.47/1.27 ~sQ10_spl|sQ37_spl),
% 5.47/1.27 inference(contradiction_clause,[status(thm)],[f638])).
% 5.47/1.27 fof(f640,plain,(
% 5.47/1.27 $false|sQ35_spl),
% 5.47/1.27 inference(forward_subsumption_resolution,[status(thm)],[f611,f48])).
% 5.47/1.27 fof(f641,plain,(
% 5.47/1.27 sQ35_spl),
% 5.47/1.27 inference(contradiction_clause,[status(thm)],[f640])).
% 5.47/1.27 fof(f642,plain,(
% 5.47/1.27 $false|sQ22_spl),
% 5.47/1.27 inference(forward_subsumption_resolution,[status(thm)],[f518,f50])).
% 5.47/1.27 fof(f643,plain,(
% 5.47/1.27 sQ22_spl),
% 5.47/1.27 inference(contradiction_clause,[status(thm)],[f642])).
% 5.47/1.27 fof(f646,plain,(
% 5.47/1.27 $false|sQ19_spl),
% 5.47/1.27 inference(forward_subsumption_resolution,[status(thm)],[f505,f59])).
% 5.47/1.27 fof(f647,plain,(
% 5.47/1.27 sQ19_spl),
% 5.47/1.27 inference(contradiction_clause,[status(thm)],[f646])).
% 5.47/1.27 fof(f652,plain,(
% 5.47/1.27 ~int_leq(sK1_skl,sK2_skl)|~sQ5_spl|sQ16_spl),
% 5.47/1.27 inference(backward_demodulation,[status(thm)],[f98,f494])).
% 5.47/1.27 fof(f668,plain,(
% 5.47/1.27 ~sQ21_spl|~sQ5_spl|sQ16_spl),
% 5.47/1.27 inference(split_clause,[status(thm)],[f652,f513,f97,f492])).
% 5.47/1.27 fof(f798,plain,(
% 5.47/1.27 ![X0,X1]: (~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_less(int_zero,X1)|~int_leq(sK1_skl,X0)|a(sK1_skl,plus(sK1_skl,X1))=real_zero)),
% 5.47/1.27 inference(resolution,[status(thm)],[f63,f48])).
% 5.47/1.27 fof(f1147,plain,(
% 5.47/1.27 $false|sQ10_spl),
% 5.47/1.27 inference(forward_subsumption_resolution,[status(thm)],[f169,f354])).
% 5.47/1.27 fof(f1148,plain,(
% 5.47/1.27 sQ10_spl),
% 5.47/1.27 inference(contradiction_clause,[status(thm)],[f1147])).
% 5.47/1.27 fof(f1715,definition,(
% 5.47/1.27 sQ86_spl <=> (int_leq(int_one,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl))))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 5.47/1.27 fof(f1717,plain,(
% 5.47/1.27 ~int_leq(int_one,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))|sQ86_spl),
% 5.47/1.27 inference(component_clause,[status(thm)],[f1715])).
% 5.47/1.27 fof(f1718,definition,(
% 5.47/1.27 sQ87_spl <=> (int_less(int_zero,sK0_skl(sK2_skl,sK1_skl)))),
% 5.47/1.27 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 5.47/1.29 fof(f1720,plain,(
% 5.47/1.29 ~int_less(int_zero,sK0_skl(sK2_skl,sK1_skl))|sQ87_spl),
% 5.47/1.29 inference(component_clause,[status(thm)],[f1718])).
% 5.47/1.29 fof(f1729,plain,(
% 5.47/1.29 $false|sQ87_spl),
% 5.47/1.29 inference(forward_subsumption_resolution,[status(thm)],[f1720,f160])).
% 5.47/1.29 fof(f1730,plain,(
% 5.47/1.29 sQ87_spl),
% 5.47/1.29 inference(contradiction_clause,[status(thm)],[f1729])).
% 5.47/1.29 fof(f1731,plain,(
% 5.47/1.29 ~int_leq(int_one,sK2_skl)|sQ86_spl),
% 5.47/1.29 inference(forward_demodulation,[status(thm)],[f152,f1717])).
% 5.47/1.29 fof(f1732,plain,(
% 5.47/1.29 $false|~sQ37_spl|sQ86_spl),
% 5.47/1.29 inference(forward_subsumption_resolution,[status(thm)],[f1731,f617])).
% 5.47/1.29 fof(f1733,plain,(
% 5.47/1.29 ~sQ37_spl|sQ86_spl),
% 5.47/1.29 inference(contradiction_clause,[status(thm)],[f1732])).
% 5.47/1.29 fof(f2059,plain,(
% 5.47/1.29 ~int_leq(int_one,sK1_skl)|~int_leq(sK1_skl,n)|~int_leq(int_one,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))|~int_leq(sK2_skl,n)|~int_less(int_zero,sK0_skl(sK2_skl,sK1_skl))|~int_leq(sK1_skl,sK1_skl)|a(sK1_skl,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))=real_zero),
% 5.47/1.29 inference(paramodulation,[status(thm)],[f152,f798])).
% 5.47/1.29 fof(f2064,definition,(
% 5.47/1.29 sQ111_spl <=> (a(sK1_skl,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))=real_zero)),
% 5.47/1.29 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 5.47/1.29 fof(f2065,plain,(
% 5.47/1.29 a(sK1_skl,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))=real_zero|~sQ111_spl),
% 5.47/1.29 inference(component_clause,[status(thm)],[f2064])).
% 5.47/1.29 fof(f2067,plain,(
% 5.47/1.29 ~sQ35_spl|~sQ16_spl|~sQ86_spl|~sQ22_spl|~sQ87_spl|~sQ19_spl|sQ111_spl),
% 5.47/1.29 inference(split_clause,[status(thm)],[f2059,f609,f492,f1715,f516,f1718,f503,f2064])).
% 5.47/1.29 fof(f2079,plain,(
% 5.47/1.29 a(sK1_skl,sK2_skl)=real_zero|~sQ111_spl),
% 5.47/1.29 inference(forward_demodulation,[status(thm)],[f152,f2065])).
% 5.47/1.29 fof(f2080,plain,(
% 5.47/1.29 $false|~sQ111_spl),
% 5.47/1.29 inference(forward_subsumption_resolution,[status(thm)],[f2079,f51])).
% 5.47/1.29 fof(f2081,plain,(
% 5.47/1.29 ~sQ111_spl),
% 5.47/1.29 inference(contradiction_clause,[status(thm)],[f2080])).
% 5.47/1.29 fof(f2082,plain,(
% 5.47/1.29 $false),
% 5.47/1.29 inference(sat_refutation,[status(thm)],[f100,f548,f550,f639,f641,f643,f647,f668,f1148,f1730,f1733,f2067,f2081])).
% 5.47/1.29 % SZS output end CNFRefutation for theBenchmark.p
% 1.75/1.31 % Elapsed time: 0.926962 seconds
% 1.75/1.31 % CPU time: 6.925711 seconds
% 1.75/1.31 % Total memory used: 146.463 MB
% 1.75/1.31 % Net memory used: 137.617 MB
%------------------------------------------------------------------------------