0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.09/0.30 % Computer : n027.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Aug 9 04:12:36 EDT 2022 0.09/0.30 % CPUTime : 0.09/0.31 % Drodi V3.3.3 9.89/1.77 % Refutation found 9.89/1.77 % SZS status Theorem for theBenchmark: Theorem is valid 9.89/1.77 % SZS output start CNFRefutation for theBenchmark 9.89/1.77 fof(f2,axiom,( 9.89/1.77 (! [X,Y,Z] :( ( lesseq(X,Z)& lesseq(Y,Z) )<=> ub(X,Y,Z) ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f3,conjecture,( 9.89/1.77 (! [X,Y,Z] :( minsol_model_ub(X,Y,Z)<=> minsol_model_max(X,Y,Z) ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f4,negated_conjecture,( 9.89/1.77 ~((! [X,Y,Z] :( minsol_model_ub(X,Y,Z)<=> minsol_model_max(X,Y,Z) ) ))), 9.89/1.77 inference(negated_conjecture,[status(cth)],[f3])). 9.89/1.77 fof(f5,axiom,( 9.89/1.77 (! [X,Y,N] :( N = max(X,Y)<=> model_max(X,Y,N) ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f6,axiom,( 9.89/1.77 (! [X,Y] :( ( lesseq(Y,X)& lesseq(X,Y) )=> Y = X ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f7,axiom,( 9.89/1.77 (! [X,Y] :( lesseq(Y,X)| lesseq(X,Y) ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f8,axiom,( 9.89/1.77 (! [X,Y] :( ~ lesseq(Y,X)| max(X,Y) = X ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f9,axiom,( 9.89/1.77 (! [X,Y,N] :( model_ub(X,Y,N)<=> ub(X,Y,N) ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f10,axiom,( 9.89/1.77 (! [X] : lesseq(X,X) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f12,axiom,( 9.89/1.77 (! [X,Y,N] :( minsol_model_ub(X,Y,N)<=> ( model_ub(X,Y,N)& (! [Z] :( model_ub(X,Y,Z)=> lesseq(N,Z) ) )) ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f13,axiom,( 9.89/1.77 (! [X,Y] :( ~ lesseq(X,Y)| max(X,Y) = Y ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f15,axiom,( 9.89/1.77 (! [X,Y,N] :( ( (! [Z] :( lesseq(N,Z)<= model_max(X,Y,Z) ))& model_max(X,Y,N) )<=> minsol_model_max(X,Y,N) ) )), 9.89/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 9.89/1.77 fof(f20,plain,( 9.89/1.77 ![X,Y,Z]: (((~lesseq(X,Z)|~lesseq(Y,Z))|ub(X,Y,Z))&((lesseq(X,Z)&lesseq(Y,Z))|~ub(X,Y,Z)))), 9.89/1.77 inference(NNF_transformation,[status(esa)],[f2])). 9.89/1.77 fof(f21,plain,( 9.89/1.77 (![X,Y,Z]: ((~lesseq(X,Z)|~lesseq(Y,Z))|ub(X,Y,Z)))&(![X,Y,Z]: ((lesseq(X,Z)&lesseq(Y,Z))|~ub(X,Y,Z)))), 9.89/1.77 inference(miniscoping,[status(esa)],[f20])). 9.89/1.77 fof(f22,plain,( 9.89/1.77 ![X0,X1,X2]: (~lesseq(X0,X1)|~lesseq(X2,X1)|ub(X0,X2,X1))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f21])). 9.89/1.77 fof(f23,plain,( 9.89/1.77 ![X0,X1,X2]: (lesseq(X0,X1)|~ub(X0,X2,X1))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f21])). 9.89/1.77 fof(f24,plain,( 9.89/1.77 ![X0,X1,X2]: (lesseq(X0,X1)|~ub(X2,X0,X1))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f21])). 9.89/1.77 fof(f25,plain,( 9.89/1.77 (?[X,Y,Z]: (minsol_model_ub(X,Y,Z)<~>minsol_model_max(X,Y,Z)))), 9.89/1.77 inference(pre_NNF_transformation,[status(esa)],[f4])). 9.89/1.77 fof(f26,plain,( 9.89/1.77 ?[X,Y,Z]: ((minsol_model_ub(X,Y,Z)|minsol_model_max(X,Y,Z))&(~minsol_model_ub(X,Y,Z)|~minsol_model_max(X,Y,Z)))), 9.89/1.77 inference(NNF_transformation,[status(esa)],[f25])). 9.89/1.77 fof(f27,plain,( 9.89/1.77 ((minsol_model_ub(sk0_0,sk0_1,sk0_2)|minsol_model_max(sk0_0,sk0_1,sk0_2))&(~minsol_model_ub(sk0_0,sk0_1,sk0_2)|~minsol_model_max(sk0_0,sk0_1,sk0_2)))), 9.89/1.77 inference(skolemization,[status(esa)],[f26])). 9.89/1.77 fof(f28,plain,( 9.89/1.77 minsol_model_ub(sk0_0,sk0_1,sk0_2)|minsol_model_max(sk0_0,sk0_1,sk0_2)), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f27])). 9.89/1.77 fof(f29,plain,( 9.89/1.77 ~minsol_model_ub(sk0_0,sk0_1,sk0_2)|~minsol_model_max(sk0_0,sk0_1,sk0_2)), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f27])). 9.89/1.77 fof(f30,plain,( 9.89/1.77 ![X,Y,N]: ((~N=max(X,Y)|model_max(X,Y,N))&(N=max(X,Y)|~model_max(X,Y,N)))), 9.89/1.77 inference(NNF_transformation,[status(esa)],[f5])). 9.89/1.77 fof(f31,plain,( 9.89/1.77 (![X,Y,N]: (~N=max(X,Y)|model_max(X,Y,N)))&(![X,Y,N]: (N=max(X,Y)|~model_max(X,Y,N)))), 9.89/1.77 inference(miniscoping,[status(esa)],[f30])). 9.89/1.77 fof(f32,plain,( 9.89/1.77 ![X0,X1,X2]: (~X0=max(X1,X2)|model_max(X1,X2,X0))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f31])). 9.89/1.77 fof(f33,plain,( 9.89/1.77 ![X0,X1,X2]: (X0=max(X1,X2)|~model_max(X1,X2,X0))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f31])). 9.89/1.77 fof(f34,plain,( 9.89/1.77 ![X,Y]: ((~lesseq(Y,X)|~lesseq(X,Y))|Y=X)), 9.89/1.77 inference(pre_NNF_transformation,[status(esa)],[f6])). 9.89/1.77 fof(f35,plain,( 9.89/1.77 ![X0,X1]: (~lesseq(X0,X1)|~lesseq(X1,X0)|X0=X1)), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f34])). 9.89/1.77 fof(f36,plain,( 9.89/1.77 ![X0,X1]: (lesseq(X0,X1)|lesseq(X1,X0))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f7])). 9.89/1.77 fof(f37,plain,( 9.89/1.77 ![X0,X1]: (~lesseq(X0,X1)|max(X1,X0)=X1)), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f8])). 9.89/1.77 fof(f38,plain,( 9.89/1.77 ![X,Y,N]: ((~model_ub(X,Y,N)|ub(X,Y,N))&(model_ub(X,Y,N)|~ub(X,Y,N)))), 9.89/1.77 inference(NNF_transformation,[status(esa)],[f9])). 9.89/1.77 fof(f39,plain,( 9.89/1.77 (![X,Y,N]: (~model_ub(X,Y,N)|ub(X,Y,N)))&(![X,Y,N]: (model_ub(X,Y,N)|~ub(X,Y,N)))), 9.89/1.77 inference(miniscoping,[status(esa)],[f38])). 9.89/1.77 fof(f40,plain,( 9.89/1.77 ![X0,X1,X2]: (~model_ub(X0,X1,X2)|ub(X0,X1,X2))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f39])). 9.89/1.77 fof(f41,plain,( 9.89/1.77 ![X0,X1,X2]: (model_ub(X0,X1,X2)|~ub(X0,X1,X2))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f39])). 9.89/1.77 fof(f42,plain,( 9.89/1.77 ![X0]: (lesseq(X0,X0))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f10])). 9.89/1.77 fof(f47,plain,( 9.89/1.77 ![X,Y,N]: (minsol_model_ub(X,Y,N)<=>(model_ub(X,Y,N)&(![Z]: (~model_ub(X,Y,Z)|lesseq(N,Z)))))), 9.89/1.77 inference(pre_NNF_transformation,[status(esa)],[f12])). 9.89/1.77 fof(f48,plain,( 9.89/1.77 ![X,Y,N]: ((~minsol_model_ub(X,Y,N)|(model_ub(X,Y,N)&(![Z]: (~model_ub(X,Y,Z)|lesseq(N,Z)))))&(minsol_model_ub(X,Y,N)|(~model_ub(X,Y,N)|(?[Z]: (model_ub(X,Y,Z)&~lesseq(N,Z))))))), 9.89/1.77 inference(NNF_transformation,[status(esa)],[f47])). 9.89/1.77 fof(f49,plain,( 9.89/1.77 (![X,Y,N]: (~minsol_model_ub(X,Y,N)|(model_ub(X,Y,N)&(![Z]: (~model_ub(X,Y,Z)|lesseq(N,Z))))))&(![X,Y,N]: (minsol_model_ub(X,Y,N)|(~model_ub(X,Y,N)|(?[Z]: (model_ub(X,Y,Z)&~lesseq(N,Z))))))), 9.89/1.77 inference(miniscoping,[status(esa)],[f48])). 9.89/1.77 fof(f50,plain,( 9.89/1.77 (![X,Y,N]: (~minsol_model_ub(X,Y,N)|(model_ub(X,Y,N)&(![Z]: (~model_ub(X,Y,Z)|lesseq(N,Z))))))&(![X,Y,N]: (minsol_model_ub(X,Y,N)|(~model_ub(X,Y,N)|(model_ub(X,Y,sk0_3(N,Y,X))&~lesseq(N,sk0_3(N,Y,X))))))), 9.89/1.77 inference(skolemization,[status(esa)],[f49])). 9.89/1.77 fof(f51,plain,( 9.89/1.77 ![X0,X1,X2]: (~minsol_model_ub(X0,X1,X2)|model_ub(X0,X1,X2))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f50])). 9.89/1.77 fof(f52,plain,( 9.89/1.77 ![X0,X1,X2,X3]: (~minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X3)|lesseq(X2,X3))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f50])). 9.89/1.77 fof(f53,plain,( 9.89/1.77 ![X0,X1,X2]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|model_ub(X0,X1,sk0_3(X2,X1,X0)))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f50])). 9.89/1.77 fof(f54,plain,( 9.89/1.77 ![X0,X1,X2]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|~lesseq(X2,sk0_3(X2,X1,X0)))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f50])). 9.89/1.77 fof(f55,plain,( 9.89/1.77 ![X0,X1]: (~lesseq(X0,X1)|max(X0,X1)=X1)), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f13])). 9.89/1.77 fof(f59,plain,( 9.89/1.77 ![X,Y,N]: (((![Z]: (lesseq(N,Z)|~model_max(X,Y,Z)))&model_max(X,Y,N))<=>minsol_model_max(X,Y,N))), 9.89/1.77 inference(pre_NNF_transformation,[status(esa)],[f15])). 9.89/1.77 fof(f60,plain,( 9.89/1.77 ![X,Y,N]: ((((?[Z]: (~lesseq(N,Z)&model_max(X,Y,Z)))|~model_max(X,Y,N))|minsol_model_max(X,Y,N))&(((![Z]: (lesseq(N,Z)|~model_max(X,Y,Z)))&model_max(X,Y,N))|~minsol_model_max(X,Y,N)))), 9.89/1.77 inference(NNF_transformation,[status(esa)],[f59])). 9.89/1.77 fof(f61,plain,( 9.89/1.77 (![X,Y,N]: (((?[Z]: (~lesseq(N,Z)&model_max(X,Y,Z)))|~model_max(X,Y,N))|minsol_model_max(X,Y,N)))&(![X,Y,N]: (((![Z]: (lesseq(N,Z)|~model_max(X,Y,Z)))&model_max(X,Y,N))|~minsol_model_max(X,Y,N)))), 9.89/1.77 inference(miniscoping,[status(esa)],[f60])). 9.89/1.77 fof(f62,plain,( 9.89/1.77 (![X,Y,N]: (((~lesseq(N,sk0_4(N,Y,X))&model_max(X,Y,sk0_4(N,Y,X)))|~model_max(X,Y,N))|minsol_model_max(X,Y,N)))&(![X,Y,N]: (((![Z]: (lesseq(N,Z)|~model_max(X,Y,Z)))&model_max(X,Y,N))|~minsol_model_max(X,Y,N)))), 9.89/1.77 inference(skolemization,[status(esa)],[f61])). 9.89/1.77 fof(f63,plain,( 9.89/1.77 ![X0,X1,X2]: (~lesseq(X0,sk0_4(X0,X1,X2))|~model_max(X2,X1,X0)|minsol_model_max(X2,X1,X0))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f62])). 9.89/1.77 fof(f64,plain,( 9.89/1.77 ![X0,X1,X2]: (model_max(X0,X1,sk0_4(X2,X1,X0))|~model_max(X0,X1,X2)|minsol_model_max(X0,X1,X2))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f62])). 9.89/1.77 fof(f66,plain,( 9.89/1.77 ![X0,X1,X2]: (model_max(X0,X1,X2)|~minsol_model_max(X0,X1,X2))), 9.89/1.77 inference(cnf_transformation,[status(esa)],[f62])). 9.89/1.77 fof(f67,plain,( 9.89/1.77 spl0_0 <=> minsol_model_ub(sk0_0,sk0_1,sk0_2)), 10.52/1.78 introduced(split_symbol_definition)). 10.52/1.78 fof(f68,plain,( 10.52/1.78 minsol_model_ub(sk0_0,sk0_1,sk0_2)|~spl0_0), 10.52/1.78 inference(component_clause,[status(thm)],[f67])). 10.52/1.78 fof(f69,plain,( 10.52/1.78 ~minsol_model_ub(sk0_0,sk0_1,sk0_2)|spl0_0), 10.52/1.78 inference(component_clause,[status(thm)],[f67])). 10.52/1.78 fof(f70,plain,( 10.52/1.78 spl0_1 <=> minsol_model_max(sk0_0,sk0_1,sk0_2)), 10.52/1.78 introduced(split_symbol_definition)). 10.52/1.78 fof(f71,plain,( 10.52/1.78 minsol_model_max(sk0_0,sk0_1,sk0_2)|~spl0_1), 10.52/1.78 inference(component_clause,[status(thm)],[f70])). 10.52/1.78 fof(f72,plain,( 10.52/1.78 ~minsol_model_max(sk0_0,sk0_1,sk0_2)|spl0_1), 10.52/1.78 inference(component_clause,[status(thm)],[f70])). 10.52/1.78 fof(f73,plain,( 10.52/1.78 spl0_0|spl0_1), 10.52/1.78 inference(split_clause,[status(thm)],[f28,f67,f70])). 10.52/1.78 fof(f74,plain,( 10.52/1.78 ~spl0_0|~spl0_1), 10.52/1.78 inference(split_clause,[status(thm)],[f29,f67,f70])). 10.52/1.78 fof(f75,plain,( 10.52/1.78 ![X0,X1]: (model_max(X0,X1,max(X0,X1)))), 10.52/1.78 inference(destructive_equality_resolution,[status(esa)],[f32])). 10.52/1.78 fof(f76,plain,( 10.52/1.78 ![X0,X1,X2]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|ub(X0,X1,sk0_3(X2,X1,X0)))), 10.52/1.78 inference(resolution,[status(thm)],[f53,f40])). 10.52/1.78 fof(f78,plain,( 10.52/1.78 ![X0]: (max(X0,X0)=X0)), 10.52/1.78 inference(resolution,[status(thm)],[f37,f42])). 10.52/1.78 fof(f79,plain,( 10.52/1.78 ![X0]: (model_max(X0,X0,X0))), 10.52/1.78 inference(paramodulation,[status(thm)],[f78,f75])). 10.52/1.78 fof(f81,plain,( 10.52/1.78 ![X0,X1,X2]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|lesseq(X1,sk0_3(X2,X1,X0)))), 10.52/1.78 inference(resolution,[status(thm)],[f76,f24])). 10.52/1.78 fof(f82,plain,( 10.52/1.78 ![X0,X1,X2]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|lesseq(X0,sk0_3(X2,X1,X0)))), 10.52/1.78 inference(resolution,[status(thm)],[f76,f23])). 10.52/1.78 fof(f83,plain,( 10.52/1.78 ![X0,X1,X2]: (sk0_4(X0,X1,X2)=max(X2,X1)|~model_max(X2,X1,X0)|minsol_model_max(X2,X1,X0))), 10.52/1.78 inference(resolution,[status(thm)],[f33,f64])). 10.52/1.78 fof(f90,plain,( 10.52/1.78 ![X0,X1]: (lesseq(X0,X1)|max(X0,X1)=X0)), 10.52/1.78 inference(resolution,[status(thm)],[f36,f37])). 10.52/1.78 fof(f95,plain,( 10.52/1.78 ![X0,X1]: (max(X0,X1)=X1|lesseq(X1,X0))), 10.52/1.78 inference(resolution,[status(thm)],[f55,f36])). 10.52/1.78 fof(f100,plain,( 10.52/1.78 ![X0,X1]: (max(X0,X1)=X0|max(X0,X1)=X1)), 10.52/1.78 inference(resolution,[status(thm)],[f90,f55])). 10.52/1.78 fof(f103,plain,( 10.52/1.78 ![X0,X1]: (max(X0,X1)=X0|max(X1,X0)=X1)), 10.52/1.78 inference(resolution,[status(thm)],[f90,f37])). 10.52/1.78 fof(f132,plain,( 10.52/1.78 ![X0,X1,X2,X3]: (~minsol_model_ub(X0,X1,X2)|lesseq(X2,X3)|~minsol_model_ub(X0,X1,X3))), 10.52/1.78 inference(resolution,[status(thm)],[f52,f51])). 10.52/1.78 fof(f137,plain,( 10.52/1.78 ![X0,X1,X2,X3]: (~minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X3)|~lesseq(X3,X2)|X3=X2)), 10.52/1.78 inference(resolution,[status(thm)],[f52,f35])). 10.52/1.78 fof(f143,plain,( 10.52/1.78 ![X0,X1,X2,X3]: (~minsol_model_ub(X0,X1,X2)|~minsol_model_ub(X0,X1,X3)|~lesseq(X3,X2)|X3=X2)), 10.52/1.78 inference(resolution,[status(thm)],[f132,f35])). 10.52/1.78 fof(f144,plain,( 10.52/1.78 ![X0,X1,X2,X3]: (~minsol_model_ub(X0,X1,X2)|~minsol_model_ub(X0,X1,X3)|X3=X2)), 10.52/1.78 inference(forward_subsumption_resolution,[status(thm)],[f143,f132])). 10.52/1.78 fof(f165,plain,( 10.52/1.78 ![X0,X1]: (max(X0,X1)=X1|max(X1,X0)=X0)), 10.52/1.78 inference(resolution,[status(thm)],[f95,f55])). 10.52/1.78 fof(f304,plain,( 10.52/1.78 ![X0,X1,X2]: (~minsol_model_max(X0,X1,X2)|X2=max(X0,X1))), 10.52/1.78 inference(resolution,[status(thm)],[f66,f33])). 10.52/1.78 fof(f309,plain,( 10.52/1.78 sk0_2=max(sk0_0,sk0_1)|~spl0_1), 10.52/1.78 inference(resolution,[status(thm)],[f304,f71])). 10.52/1.78 fof(f310,plain,( 10.52/1.78 spl0_2 <=> sk0_2=sk0_1), 10.52/1.78 introduced(split_symbol_definition)). 10.52/1.78 fof(f311,plain,( 10.52/1.78 sk0_2=sk0_1|~spl0_2), 10.52/1.78 inference(component_clause,[status(thm)],[f310])). 10.52/1.78 fof(f312,plain,( 10.52/1.78 ~sk0_2=sk0_1|spl0_2), 10.52/1.78 inference(component_clause,[status(thm)],[f310])). 10.52/1.78 fof(f313,plain,( 10.52/1.78 spl0_3 <=> max(sk0_1,sk0_0)=sk0_0), 10.52/1.78 introduced(split_symbol_definition)). 10.52/1.78 fof(f314,plain,( 10.52/1.78 max(sk0_1,sk0_0)=sk0_0|~spl0_3), 10.52/1.78 inference(component_clause,[status(thm)],[f313])). 10.52/1.78 fof(f315,plain,( 10.52/1.78 ~max(sk0_1,sk0_0)=sk0_0|spl0_3), 10.52/1.78 inference(component_clause,[status(thm)],[f313])). 10.52/1.78 fof(f316,plain,( 10.52/1.78 sk0_2=sk0_1|max(sk0_1,sk0_0)=sk0_0|~spl0_1), 10.52/1.78 inference(paramodulation,[status(thm)],[f165,f309])). 10.52/1.78 fof(f317,plain,( 10.52/1.78 spl0_2|spl0_3|~spl0_1), 10.52/1.78 inference(split_clause,[status(thm)],[f316,f310,f313,f70])). 10.52/1.78 fof(f320,plain,( 10.52/1.78 spl0_4 <=> sk0_2=sk0_0), 10.52/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f321,plain,( 10.58/1.78 sk0_2=sk0_0|~spl0_4), 10.58/1.78 inference(component_clause,[status(thm)],[f320])). 10.58/1.78 fof(f322,plain,( 10.58/1.78 ~sk0_2=sk0_0|spl0_4), 10.58/1.78 inference(component_clause,[status(thm)],[f320])). 10.58/1.78 fof(f323,plain,( 10.58/1.78 spl0_5 <=> max(sk0_1,sk0_0)=sk0_1), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f324,plain,( 10.58/1.78 max(sk0_1,sk0_0)=sk0_1|~spl0_5), 10.58/1.78 inference(component_clause,[status(thm)],[f323])). 10.58/1.78 fof(f326,plain,( 10.58/1.78 sk0_2=sk0_0|max(sk0_1,sk0_0)=sk0_1|~spl0_1), 10.58/1.78 inference(paramodulation,[status(thm)],[f103,f309])). 10.58/1.78 fof(f327,plain,( 10.58/1.78 spl0_4|spl0_5|~spl0_1), 10.58/1.78 inference(split_clause,[status(thm)],[f326,f320,f323,f70])). 10.58/1.78 fof(f330,plain,( 10.58/1.78 spl0_6 <=> max(sk0_0,sk0_1)=sk0_0), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f331,plain,( 10.58/1.78 max(sk0_0,sk0_1)=sk0_0|~spl0_6), 10.58/1.78 inference(component_clause,[status(thm)],[f330])). 10.58/1.78 fof(f333,plain,( 10.58/1.78 sk0_2=sk0_1|max(sk0_0,sk0_1)=sk0_0|~spl0_1), 10.58/1.78 inference(paramodulation,[status(thm)],[f100,f309])). 10.58/1.78 fof(f334,plain,( 10.58/1.78 spl0_2|spl0_6|~spl0_1), 10.58/1.78 inference(split_clause,[status(thm)],[f333,f310,f330,f70])). 10.58/1.78 fof(f335,plain,( 10.58/1.78 spl0_7 <=> max(sk0_0,sk0_1)=sk0_1), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f336,plain,( 10.58/1.78 max(sk0_0,sk0_1)=sk0_1|~spl0_7), 10.58/1.78 inference(component_clause,[status(thm)],[f335])). 10.58/1.78 fof(f397,plain,( 10.58/1.78 sk0_1=sk0_0|~spl0_2|~spl0_4), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f311,f321])). 10.58/1.78 fof(f438,plain,( 10.58/1.78 ![X0,X1]: (minsol_model_ub(X0,X1,X1)|~model_ub(X0,X1,X1)|minsol_model_ub(X0,X1,X1)|~model_ub(X0,X1,X1))), 10.58/1.78 inference(resolution,[status(thm)],[f81,f54])). 10.58/1.78 fof(f439,plain,( 10.58/1.78 ![X0,X1]: (minsol_model_ub(X0,X1,X1)|~model_ub(X0,X1,X1))), 10.58/1.78 inference(duplicate_literals_removal,[status(esa)],[f438])). 10.58/1.78 fof(f575,plain,( 10.58/1.78 ![X0,X1]: (minsol_model_ub(X0,X1,X1)|~ub(X0,X1,X1))), 10.58/1.78 inference(resolution,[status(thm)],[f439,f41])). 10.58/1.78 fof(f598,plain,( 10.58/1.78 ![X0,X1,X2]: (~ub(X0,X1,X1)|~minsol_model_ub(X0,X1,X2)|lesseq(X2,X1))), 10.58/1.78 inference(resolution,[status(thm)],[f575,f132])). 10.58/1.78 fof(f600,plain,( 10.58/1.78 ![X0,X1,X2]: (~ub(X0,X1,X1)|lesseq(X1,X2)|~minsol_model_ub(X0,X1,X2))), 10.58/1.78 inference(resolution,[status(thm)],[f575,f132])). 10.58/1.78 fof(f602,plain,( 10.58/1.78 spl0_8 <=> lesseq(sk0_0,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f604,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_0)|spl0_8), 10.58/1.78 inference(component_clause,[status(thm)],[f602])). 10.58/1.78 fof(f607,plain,( 10.58/1.78 $false|spl0_8), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f604,f42])). 10.58/1.78 fof(f608,plain,( 10.58/1.78 spl0_8), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f607])). 10.58/1.78 fof(f609,plain,( 10.58/1.78 ~sk0_1=sk0_0|~spl0_2|spl0_4), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f311,f322])). 10.58/1.78 fof(f611,plain,( 10.58/1.78 ![X0,X1]: (minsol_model_ub(X0,X1,X0)|~model_ub(X0,X1,X0)|minsol_model_ub(X0,X1,X0)|~model_ub(X0,X1,X0))), 10.58/1.78 inference(resolution,[status(thm)],[f82,f54])). 10.58/1.78 fof(f612,plain,( 10.58/1.78 ![X0,X1]: (minsol_model_ub(X0,X1,X0)|~model_ub(X0,X1,X0))), 10.58/1.78 inference(duplicate_literals_removal,[status(esa)],[f611])). 10.58/1.78 fof(f634,plain,( 10.58/1.78 spl0_9 <=> sk0_0=sk0_1), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f635,plain,( 10.58/1.78 sk0_0=sk0_1|~spl0_9), 10.58/1.78 inference(component_clause,[status(thm)],[f634])). 10.58/1.78 fof(f636,plain,( 10.58/1.78 ~sk0_0=sk0_1|spl0_9), 10.58/1.78 inference(component_clause,[status(thm)],[f634])). 10.58/1.78 fof(f641,plain,( 10.58/1.78 spl0_10 <=> sk0_1=sk0_1), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f650,plain,( 10.58/1.78 sk0_1=sk0_1|max(sk0_1,sk0_0)=sk0_0|~spl0_5), 10.58/1.78 inference(paramodulation,[status(thm)],[f100,f324])). 10.58/1.78 fof(f651,plain,( 10.58/1.78 spl0_10|spl0_3|~spl0_5), 10.58/1.78 inference(split_clause,[status(thm)],[f650,f641,f313,f323])). 10.58/1.78 fof(f665,plain,( 10.58/1.78 sk0_1=sk0_0|~spl0_5|~spl0_3), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f324,f314])). 10.58/1.78 fof(f665,plain,( 10.58/1.78 sk0_1=sk0_0|~spl0_5|~spl0_3), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f324,f314])). 10.58/1.78 fof(f679,plain,( 10.58/1.78 minsol_model_max(sk0_0,sk0_0,sk0_2)|~spl0_5|~spl0_3|~spl0_1), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f665,f71])). 10.58/1.78 fof(f686,plain,( 10.58/1.78 sk0_2=max(sk0_0,sk0_0)|~spl0_5|~spl0_3|~spl0_1), 10.58/1.78 inference(resolution,[status(thm)],[f679,f304])). 10.58/1.78 fof(f687,plain,( 10.58/1.78 sk0_2=sk0_0|~spl0_5|~spl0_3|~spl0_1), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f78,f686])). 10.58/1.78 fof(f688,plain,( 10.58/1.78 $false|spl0_4|~spl0_5|~spl0_3|~spl0_1), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f687,f322])). 10.58/1.78 fof(f689,plain,( 10.58/1.78 spl0_4|~spl0_5|~spl0_3|~spl0_1), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f688])). 10.58/1.78 fof(f757,plain,( 10.58/1.78 ~sk0_0=sk0_1|~spl0_4|spl0_2), 10.58/1.78 inference(backward_demodulation,[status(thm)],[f321,f312])). 10.58/1.78 fof(f763,plain,( 10.58/1.78 spl0_11 <=> sk0_0=sk0_0), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f828,plain,( 10.58/1.78 sk0_1=max(sk0_0,sk0_1)|~spl0_2|~spl0_1), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f311,f309])). 10.58/1.78 fof(f906,plain,( 10.58/1.78 ![X0,X1,X2]: (~minsol_model_ub(X0,X1,X2)|lesseq(X2,X1)|~lesseq(X0,X1)|~lesseq(X1,X1))), 10.58/1.78 inference(resolution,[status(thm)],[f598,f22])). 10.58/1.78 fof(f907,plain,( 10.58/1.78 ![X0,X1,X2]: (~minsol_model_ub(X0,X1,X2)|lesseq(X2,X1)|~lesseq(X0,X1))), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f906,f42])). 10.58/1.78 fof(f911,plain,( 10.58/1.78 ![X0,X1,X2]: (lesseq(X0,X1)|~minsol_model_ub(X2,X0,X1)|~lesseq(X2,X0)|~lesseq(X0,X0))), 10.58/1.78 inference(resolution,[status(thm)],[f600,f22])). 10.58/1.78 fof(f912,plain,( 10.58/1.78 ![X0,X1,X2]: (lesseq(X0,X1)|~minsol_model_ub(X2,X0,X1)|~lesseq(X2,X0))), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f911,f42])). 10.58/1.78 fof(f943,plain,( 10.58/1.78 spl0_12 <=> sk0_4(sk0_1,sk0_1,sk0_0)=max(sk0_0,sk0_1)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f944,plain,( 10.58/1.78 sk0_4(sk0_1,sk0_1,sk0_0)=max(sk0_0,sk0_1)|~spl0_12), 10.58/1.78 inference(component_clause,[status(thm)],[f943])). 10.58/1.78 fof(f946,plain,( 10.58/1.78 spl0_13 <=> minsol_model_max(sk0_0,sk0_1,sk0_1)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f947,plain,( 10.58/1.78 minsol_model_max(sk0_0,sk0_1,sk0_1)|~spl0_13), 10.58/1.78 inference(component_clause,[status(thm)],[f946])). 10.58/1.78 fof(f1064,plain,( 10.58/1.78 ~minsol_model_ub(sk0_0,sk0_1,sk0_1)|~spl0_2|spl0_0), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f311,f69])). 10.58/1.78 fof(f1065,plain,( 10.58/1.78 ~ub(sk0_0,sk0_1,sk0_1)|~spl0_2|spl0_0), 10.58/1.78 inference(resolution,[status(thm)],[f1064,f575])). 10.58/1.78 fof(f1067,plain,( 10.58/1.78 spl0_14 <=> sk0_4(sk0_1,sk0_0,sk0_1)=max(sk0_1,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1068,plain,( 10.58/1.78 sk0_4(sk0_1,sk0_0,sk0_1)=max(sk0_1,sk0_0)|~spl0_14), 10.58/1.78 inference(component_clause,[status(thm)],[f1067])). 10.58/1.78 fof(f1070,plain,( 10.58/1.78 spl0_15 <=> minsol_model_max(sk0_1,sk0_0,sk0_1)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1071,plain,( 10.58/1.78 minsol_model_max(sk0_1,sk0_0,sk0_1)|~spl0_15), 10.58/1.78 inference(component_clause,[status(thm)],[f1070])). 10.58/1.78 fof(f1078,plain,( 10.58/1.78 ![X0,X1]: (minsol_model_ub(X0,X1,X0)|~ub(X0,X1,X0))), 10.58/1.78 inference(resolution,[status(thm)],[f612,f41])). 10.58/1.78 fof(f1100,plain,( 10.58/1.78 spl0_16 <=> lesseq(sk0_0,sk0_1)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1101,plain,( 10.58/1.78 lesseq(sk0_0,sk0_1)|~spl0_16), 10.58/1.78 inference(component_clause,[status(thm)],[f1100])). 10.58/1.78 fof(f1102,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_1)|spl0_16), 10.58/1.78 inference(component_clause,[status(thm)],[f1100])). 10.58/1.78 fof(f1103,plain,( 10.58/1.78 spl0_17 <=> lesseq(sk0_1,sk0_1)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1105,plain,( 10.58/1.78 ~lesseq(sk0_1,sk0_1)|spl0_17), 10.58/1.78 inference(component_clause,[status(thm)],[f1103])). 10.58/1.78 fof(f1106,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_1)|~lesseq(sk0_1,sk0_1)|~spl0_2|spl0_0), 10.58/1.78 inference(resolution,[status(thm)],[f1065,f22])). 10.58/1.78 fof(f1107,plain,( 10.58/1.78 ~spl0_16|~spl0_17|~spl0_2|spl0_0), 10.58/1.78 inference(split_clause,[status(thm)],[f1106,f1100,f1103,f310,f67])). 10.58/1.78 fof(f1120,plain,( 10.58/1.78 max(sk0_1,sk0_0)=sk0_0|spl0_16), 10.58/1.78 inference(resolution,[status(thm)],[f1102,f95])). 10.58/1.78 fof(f1121,plain,( 10.58/1.78 spl0_3|spl0_16), 10.58/1.78 inference(split_clause,[status(thm)],[f1120,f313,f1100])). 10.58/1.78 fof(f1125,plain,( 10.58/1.78 max(sk0_0,sk0_1)=sk0_0|spl0_16), 10.58/1.78 inference(resolution,[status(thm)],[f1102,f90])). 10.58/1.78 fof(f1126,plain,( 10.58/1.78 sk0_1=sk0_0|~spl0_2|~spl0_1|spl0_16), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f828,f1125])). 10.58/1.78 fof(f1127,plain,( 10.58/1.78 $false|spl0_4|~spl0_2|~spl0_1|spl0_16), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f1126,f609])). 10.58/1.78 fof(f1128,plain,( 10.58/1.78 spl0_4|~spl0_2|~spl0_1|spl0_16), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f1127])). 10.58/1.78 fof(f1129,plain,( 10.58/1.78 sk0_1=sk0_0|~spl0_5|~spl0_3), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f324,f314])). 10.58/1.78 fof(f1141,plain,( 10.58/1.78 spl0_18 <=> lesseq(sk0_0,sk0_2)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1142,plain,( 10.58/1.78 lesseq(sk0_0,sk0_2)|~spl0_18), 10.58/1.78 inference(component_clause,[status(thm)],[f1141])). 10.58/1.78 fof(f1143,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_2)|spl0_18), 10.58/1.78 inference(component_clause,[status(thm)],[f1141])). 10.58/1.78 fof(f1225,plain,( 10.58/1.78 $false|~spl0_4|spl0_2|~spl0_5|~spl0_3), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f1129,f757])). 10.58/1.78 fof(f1226,plain,( 10.58/1.78 ~spl0_4|spl0_2|~spl0_5|~spl0_3), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f1225])). 10.58/1.78 fof(f1227,plain,( 10.58/1.78 sk0_1=sk0_0|max(sk0_1,sk0_0)=sk0_0|~spl0_6), 10.58/1.78 inference(paramodulation,[status(thm)],[f165,f331])). 10.58/1.78 fof(f1228,plain,( 10.58/1.78 spl0_9|spl0_3|~spl0_6), 10.58/1.78 inference(split_clause,[status(thm)],[f1227,f634,f313,f330])). 10.58/1.78 fof(f1251,plain,( 10.58/1.78 model_max(sk0_0,sk0_1,sk0_0)|~spl0_6), 10.58/1.78 inference(paramodulation,[status(thm)],[f331,f75])). 10.58/1.78 fof(f1295,plain,( 10.58/1.78 sk0_1=sk0_0|max(sk0_0,sk0_1)=sk0_0|~spl0_3), 10.58/1.78 inference(paramodulation,[status(thm)],[f103,f314])). 10.58/1.78 fof(f1296,plain,( 10.58/1.78 spl0_9|spl0_6|~spl0_3), 10.58/1.78 inference(split_clause,[status(thm)],[f1295,f634,f330,f313])). 10.58/1.78 fof(f1315,plain,( 10.58/1.78 model_max(sk0_1,sk0_0,sk0_0)|~spl0_3), 10.58/1.78 inference(paramodulation,[status(thm)],[f314,f75])). 10.58/1.78 fof(f1316,plain,( 10.58/1.78 $false|~spl0_4|spl0_2|~spl0_9), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f635,f757])). 10.58/1.78 fof(f1317,plain,( 10.58/1.78 ~spl0_4|spl0_2|~spl0_9), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f1316])). 10.58/1.78 fof(f1318,plain,( 10.58/1.78 sk0_4(sk0_1,sk0_0,sk0_1)=sk0_0|~spl0_3|~spl0_14), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f314,f1068])). 10.58/1.78 fof(f1352,plain,( 10.58/1.78 spl0_20 <=> ub(sk0_0,sk0_0,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1354,plain,( 10.58/1.78 ~ub(sk0_0,sk0_0,sk0_0)|spl0_20), 10.58/1.78 inference(component_clause,[status(thm)],[f1352])). 10.58/1.78 fof(f1408,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_0)|~lesseq(sk0_0,sk0_0)|spl0_20), 10.58/1.78 inference(resolution,[status(thm)],[f1354,f22])). 10.58/1.78 fof(f1409,plain,( 10.58/1.78 ~spl0_8|spl0_20), 10.58/1.78 inference(split_clause,[status(thm)],[f1408,f602,f1352])). 10.58/1.78 fof(f1420,plain,( 10.58/1.78 spl0_9|~spl0_5|~spl0_3), 10.58/1.78 inference(split_clause,[status(thm)],[f665,f634,f323,f313])). 10.58/1.78 fof(f1434,plain,( 10.58/1.78 spl0_22 <=> lesseq(sk0_1,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1436,plain,( 10.58/1.78 ~lesseq(sk0_1,sk0_0)|spl0_22), 10.58/1.78 inference(component_clause,[status(thm)],[f1434])). 10.58/1.78 fof(f1437,plain,( 10.58/1.78 ~lesseq(sk0_1,sk0_0)|sk0_1=sk0_0|~spl0_16), 10.58/1.78 inference(resolution,[status(thm)],[f1101,f35])). 10.58/1.78 fof(f1438,plain,( 10.58/1.78 ~spl0_22|spl0_9|~spl0_16), 10.58/1.78 inference(split_clause,[status(thm)],[f1437,f1434,f634,f1100])). 10.58/1.78 fof(f1442,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_1)|~spl0_2|spl0_18), 10.58/1.78 inference(backward_demodulation,[status(thm)],[f311,f1143])). 10.58/1.78 fof(f1443,plain,( 10.58/1.78 ~spl0_16|~spl0_2|spl0_18), 10.58/1.78 inference(split_clause,[status(thm)],[f1442,f1100,f310,f1141])). 10.58/1.78 fof(f1457,plain,( 10.58/1.78 max(sk0_0,sk0_1)=sk0_1|spl0_22), 10.58/1.78 inference(resolution,[status(thm)],[f1436,f95])). 10.58/1.78 fof(f1461,plain,( 10.58/1.78 max(sk0_1,sk0_0)=sk0_1|spl0_22), 10.58/1.78 inference(resolution,[status(thm)],[f1436,f90])). 10.58/1.78 fof(f1491,plain,( 10.58/1.78 max(sk0_0,sk0_2)=sk0_2|~spl0_18), 10.58/1.78 inference(resolution,[status(thm)],[f1142,f55])). 10.58/1.78 fof(f1496,plain,( 10.58/1.78 max(sk0_2,sk0_0)=sk0_2|~spl0_18), 10.58/1.78 inference(resolution,[status(thm)],[f1142,f37])). 10.58/1.78 fof(f1523,plain,( 10.58/1.78 spl0_23 <=> lesseq(sk0_1,sk0_2)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1524,plain,( 10.58/1.78 lesseq(sk0_1,sk0_2)|~spl0_23), 10.58/1.78 inference(component_clause,[status(thm)],[f1523])). 10.58/1.78 fof(f1526,plain,( 10.58/1.78 lesseq(sk0_1,sk0_2)|~lesseq(sk0_0,sk0_1)|~spl0_0), 10.58/1.78 inference(resolution,[status(thm)],[f68,f912])). 10.58/1.78 fof(f1527,plain,( 10.58/1.78 spl0_23|~spl0_16|~spl0_0), 10.58/1.78 inference(split_clause,[status(thm)],[f1526,f1523,f1100,f67])). 10.58/1.78 fof(f1528,plain,( 10.58/1.78 spl0_24 <=> ub(sk0_0,sk0_1,sk0_1)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1530,plain,( 10.58/1.78 ~ub(sk0_0,sk0_1,sk0_1)|spl0_24), 10.58/1.78 inference(component_clause,[status(thm)],[f1528])). 10.58/1.78 fof(f1533,plain,( 10.58/1.78 spl0_25 <=> lesseq(sk0_2,sk0_1)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f1536,plain,( 10.58/1.78 lesseq(sk0_2,sk0_1)|~lesseq(sk0_0,sk0_1)|~spl0_0), 10.58/1.78 inference(resolution,[status(thm)],[f68,f907])). 10.58/1.78 fof(f1537,plain,( 10.58/1.78 spl0_25|~spl0_16|~spl0_0), 10.58/1.78 inference(split_clause,[status(thm)],[f1536,f1533,f1100,f67])). 10.58/1.78 fof(f1541,plain,( 10.58/1.78 ![X0]: (~minsol_model_ub(sk0_0,sk0_1,X0)|X0=sk0_2|~spl0_0)), 10.58/1.78 inference(resolution,[status(thm)],[f68,f144])). 10.58/1.78 fof(f1558,plain,( 10.58/1.78 ~lesseq(sk0_2,sk0_1)|sk0_2=sk0_1|~spl0_23), 10.58/1.78 inference(resolution,[status(thm)],[f1524,f35])). 10.58/1.78 fof(f1559,plain,( 10.58/1.78 ~spl0_25|spl0_2|~spl0_23), 10.58/1.78 inference(split_clause,[status(thm)],[f1558,f1533,f310,f1523])). 10.58/1.78 fof(f1563,plain,( 10.58/1.78 $false|spl0_17), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f1105,f42])). 10.58/1.78 fof(f1564,plain,( 10.58/1.78 spl0_17), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f1563])). 10.58/1.78 fof(f1586,plain,( 10.58/1.78 sk0_0=sk0_1|max(sk0_1,sk0_0)=sk0_1|~spl0_7), 10.58/1.78 inference(paramodulation,[status(thm)],[f103,f336])). 10.58/1.78 fof(f1587,plain,( 10.58/1.78 spl0_9|spl0_5|~spl0_7), 10.58/1.78 inference(split_clause,[status(thm)],[f1586,f634,f323,f335])). 10.58/1.78 fof(f1607,plain,( 10.58/1.78 lesseq(sk0_0,sk0_1)|~spl0_2|~spl0_18), 10.58/1.78 inference(backward_demodulation,[status(thm)],[f311,f1142])). 10.58/1.78 fof(f1608,plain,( 10.58/1.78 spl0_16|~spl0_2|~spl0_18), 10.58/1.78 inference(split_clause,[status(thm)],[f1607,f1100,f310,f1141])). 10.58/1.78 fof(f1662,plain,( 10.58/1.78 sk0_2=sk0_0|~spl0_9|~spl0_2), 10.58/1.78 inference(backward_demodulation,[status(thm)],[f635,f311])). 10.58/1.78 fof(f1665,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_0)|~spl0_9|spl0_22), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f635,f1436])). 10.58/1.78 fof(f1666,plain,( 10.58/1.78 $false|~spl0_9|spl0_22), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f1665,f42])). 10.58/1.78 fof(f1667,plain,( 10.58/1.78 ~spl0_9|spl0_22), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f1666])). 10.58/1.78 fof(f1982,plain,( 10.58/1.78 ~minsol_model_max(sk0_0,sk0_0,sk0_2)|~spl0_2|~spl0_4|spl0_1), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f397,f72])). 10.58/1.78 fof(f1983,plain,( 10.58/1.78 ~minsol_model_max(sk0_0,sk0_0,sk0_0)|~spl0_9|~spl0_2|~spl0_4|spl0_1), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f1662,f1982])). 10.58/1.78 fof(f2040,plain,( 10.58/1.78 sk0_4(sk0_0,sk0_0,sk0_1)=sk0_0|~spl0_2|~spl0_4|~spl0_3|~spl0_14), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f397,f1318])). 10.58/1.78 fof(f2041,plain,( 10.58/1.78 sk0_4(sk0_0,sk0_0,sk0_0)=sk0_0|~spl0_2|~spl0_4|~spl0_3|~spl0_14), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f397,f2040])). 10.58/1.78 fof(f2042,plain,( 10.58/1.78 spl0_26 <=> model_max(sk0_0,sk0_0,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2044,plain,( 10.58/1.78 ~model_max(sk0_0,sk0_0,sk0_0)|spl0_26), 10.58/1.78 inference(component_clause,[status(thm)],[f2042])). 10.58/1.78 fof(f2045,plain,( 10.58/1.78 spl0_27 <=> minsol_model_max(sk0_0,sk0_0,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2046,plain,( 10.58/1.78 minsol_model_max(sk0_0,sk0_0,sk0_0)|~spl0_27), 10.58/1.78 inference(component_clause,[status(thm)],[f2045])). 10.58/1.78 fof(f2063,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_0)|~model_max(sk0_0,sk0_0,sk0_0)|minsol_model_max(sk0_0,sk0_0,sk0_0)|~spl0_2|~spl0_4|~spl0_3|~spl0_14), 10.58/1.78 inference(paramodulation,[status(thm)],[f2041,f63])). 10.58/1.78 fof(f2064,plain,( 10.58/1.78 ~spl0_8|~spl0_26|spl0_27|~spl0_2|~spl0_4|~spl0_3|~spl0_14), 10.58/1.78 inference(split_clause,[status(thm)],[f2063,f602,f2042,f2045,f310,f320,f313,f1067])). 10.58/1.78 fof(f2067,plain,( 10.58/1.78 $false|spl0_26), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f2044,f79])). 10.58/1.78 fof(f2068,plain,( 10.58/1.78 spl0_26), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f2067])). 10.58/1.78 fof(f2073,plain,( 10.58/1.78 minsol_model_max(sk0_0,sk0_0,sk0_1)|~spl0_2|~spl0_4|~spl0_15), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f397,f1071])). 10.58/1.78 fof(f2074,plain,( 10.58/1.78 minsol_model_max(sk0_0,sk0_0,sk0_0)|~spl0_2|~spl0_4|~spl0_15), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f397,f2073])). 10.58/1.78 fof(f2075,plain,( 10.58/1.78 $false|~spl0_9|spl0_1|~spl0_2|~spl0_4|~spl0_15), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f2074,f1983])). 10.58/1.78 fof(f2076,plain,( 10.58/1.78 ~spl0_9|spl0_1|~spl0_2|~spl0_4|~spl0_15), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f2075])). 10.58/1.78 fof(f2083,plain,( 10.58/1.78 $false|~spl0_9|~spl0_2|~spl0_4|spl0_1|~spl0_27), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f2046,f1983])). 10.58/1.78 fof(f2084,plain,( 10.58/1.78 ~spl0_9|~spl0_2|~spl0_4|spl0_1|~spl0_27), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f2083])). 10.58/1.78 fof(f2112,plain,( 10.58/1.78 ~sk0_0=sk0_0|~spl0_2|~spl0_4|spl0_9), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f397,f636])). 10.58/1.78 fof(f2113,plain,( 10.58/1.78 $false|~spl0_2|~spl0_4|spl0_9), 10.58/1.78 inference(trivial_equality_resolution,[status(esa)],[f2112])). 10.58/1.78 fof(f2114,plain,( 10.58/1.78 ~spl0_2|~spl0_4|spl0_9), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f2113])). 10.58/1.78 fof(f2115,plain,( 10.58/1.78 ~max(sk0_0,sk0_0)=sk0_0|~spl0_2|~spl0_4|spl0_3), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f397,f315])). 10.58/1.78 fof(f2116,plain,( 10.58/1.78 ~sk0_0=sk0_0|~spl0_2|~spl0_4|spl0_3), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f78,f2115])). 10.58/1.78 fof(f2117,plain,( 10.58/1.78 $false|~spl0_2|~spl0_4|spl0_3), 10.58/1.78 inference(trivial_equality_resolution,[status(esa)],[f2116])). 10.58/1.78 fof(f2118,plain,( 10.58/1.78 ~spl0_2|~spl0_4|spl0_3), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f2117])). 10.58/1.78 fof(f2164,plain,( 10.58/1.78 spl0_33 <=> ~minsol_model_ub(X0,X1,sk0_1)|~model_ub(X0,X1,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2167,plain,( 10.58/1.78 ![X0,X1]: (~minsol_model_ub(X0,X1,sk0_1)|~model_ub(X0,X1,sk0_0)|sk0_0=sk0_1|~spl0_16)), 10.58/1.78 inference(resolution,[status(thm)],[f1101,f137])). 10.58/1.78 fof(f2168,plain,( 10.58/1.78 spl0_33|spl0_9|~spl0_16), 10.58/1.78 inference(split_clause,[status(thm)],[f2167,f2164,f634,f1100])). 10.58/1.78 fof(f2269,plain,( 10.58/1.78 spl0_35 <=> ub(sk0_0,sk0_1,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2271,plain,( 10.58/1.78 ~ub(sk0_0,sk0_1,sk0_0)|spl0_35), 10.58/1.78 inference(component_clause,[status(thm)],[f2269])). 10.58/1.78 fof(f2388,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_0)|~lesseq(sk0_1,sk0_0)|spl0_35), 10.58/1.78 inference(resolution,[status(thm)],[f2271,f22])). 10.58/1.78 fof(f2389,plain,( 10.58/1.78 ~spl0_8|~spl0_22|spl0_35), 10.58/1.78 inference(split_clause,[status(thm)],[f2388,f602,f1434,f2269])). 10.58/1.78 fof(f2434,plain,( 10.58/1.78 spl0_7|spl0_22), 10.58/1.78 inference(split_clause,[status(thm)],[f1457,f335,f1434])). 10.58/1.78 fof(f2435,plain,( 10.58/1.78 spl0_5|spl0_22), 10.58/1.78 inference(split_clause,[status(thm)],[f1461,f323,f1434])). 10.58/1.78 fof(f2508,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_0)|~spl0_4|spl0_18), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f321,f1143])). 10.58/1.78 fof(f2509,plain,( 10.58/1.78 $false|~spl0_4|spl0_18), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f2508,f42])). 10.58/1.78 fof(f2510,plain,( 10.58/1.78 ~spl0_4|spl0_18), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f2509])). 10.58/1.78 fof(f2548,plain,( 10.58/1.78 minsol_model_ub(sk0_0,sk0_1,sk0_0)|~spl0_4|~spl0_0), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f321,f68])). 10.58/1.78 fof(f2581,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_1)|~lesseq(sk0_1,sk0_1)|spl0_24), 10.58/1.78 inference(resolution,[status(thm)],[f1530,f22])). 10.58/1.78 fof(f2582,plain,( 10.58/1.78 ~spl0_16|~spl0_17|spl0_24), 10.58/1.78 inference(split_clause,[status(thm)],[f2581,f1100,f1103,f1528])). 10.58/1.78 fof(f2583,plain,( 10.58/1.78 ~minsol_model_ub(sk0_0,sk0_1,sk0_0)|~spl0_4|spl0_0), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f321,f69])). 10.58/1.78 fof(f2661,plain,( 10.58/1.78 spl0_37 <=> sk0_4(sk0_0,sk0_0,sk0_1)=max(sk0_1,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2662,plain,( 10.58/1.78 sk0_4(sk0_0,sk0_0,sk0_1)=max(sk0_1,sk0_0)|~spl0_37), 10.58/1.78 inference(component_clause,[status(thm)],[f2661])). 10.58/1.78 fof(f2664,plain,( 10.58/1.78 spl0_38 <=> minsol_model_max(sk0_1,sk0_0,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2667,plain,( 10.58/1.78 sk0_4(sk0_0,sk0_0,sk0_1)=max(sk0_1,sk0_0)|minsol_model_max(sk0_1,sk0_0,sk0_0)|~spl0_3), 10.58/1.78 inference(resolution,[status(thm)],[f1315,f83])). 10.58/1.78 fof(f2668,plain,( 10.58/1.78 spl0_37|spl0_38|~spl0_3), 10.58/1.78 inference(split_clause,[status(thm)],[f2667,f2661,f2664,f313])). 10.58/1.78 fof(f2671,plain,( 10.58/1.78 sk0_4(sk0_0,sk0_0,sk0_1)=sk0_0|~spl0_3|~spl0_37), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f314,f2662])). 10.58/1.78 fof(f2673,plain,( 10.58/1.78 spl0_39 <=> sk0_4(sk0_0,sk0_1,sk0_0)=max(sk0_0,sk0_1)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2674,plain,( 10.58/1.78 sk0_4(sk0_0,sk0_1,sk0_0)=max(sk0_0,sk0_1)|~spl0_39), 10.58/1.78 inference(component_clause,[status(thm)],[f2673])). 10.58/1.78 fof(f2676,plain,( 10.58/1.78 spl0_40 <=> minsol_model_max(sk0_0,sk0_1,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2677,plain,( 10.58/1.78 minsol_model_max(sk0_0,sk0_1,sk0_0)|~spl0_40), 10.58/1.78 inference(component_clause,[status(thm)],[f2676])). 10.58/1.78 fof(f2679,plain,( 10.58/1.78 sk0_4(sk0_0,sk0_1,sk0_0)=max(sk0_0,sk0_1)|minsol_model_max(sk0_0,sk0_1,sk0_0)|~spl0_6), 10.58/1.78 inference(resolution,[status(thm)],[f1251,f83])). 10.58/1.78 fof(f2680,plain,( 10.58/1.78 spl0_39|spl0_40|~spl0_6), 10.58/1.78 inference(split_clause,[status(thm)],[f2679,f2673,f2676,f330])). 10.58/1.78 fof(f2683,plain,( 10.58/1.78 sk0_4(sk0_0,sk0_1,sk0_0)=sk0_0|spl0_16|~spl0_39), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f1125,f2674])). 10.58/1.78 fof(f2727,plain,( 10.58/1.78 ~ub(sk0_0,sk0_1,sk0_0)|~spl0_4|spl0_0), 10.58/1.78 inference(resolution,[status(thm)],[f2583,f1078])). 10.58/1.78 fof(f2728,plain,( 10.58/1.78 ~spl0_35|~spl0_4|spl0_0), 10.58/1.78 inference(split_clause,[status(thm)],[f2727,f2269,f320,f67])). 10.58/1.78 fof(f2817,plain,( 10.58/1.78 spl0_41 <=> max(sk0_0,sk0_2)=sk0_2), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f2818,plain,( 10.58/1.78 max(sk0_0,sk0_2)=sk0_2|~spl0_41), 10.58/1.78 inference(component_clause,[status(thm)],[f2817])). 10.58/1.78 fof(f2820,plain,( 10.58/1.78 sk0_0=sk0_2|max(sk0_0,sk0_2)=sk0_2|~spl0_18), 10.58/1.78 inference(paramodulation,[status(thm)],[f165,f1496])). 10.58/1.78 fof(f2821,plain,( 10.58/1.78 spl0_4|spl0_41|~spl0_18), 10.58/1.78 inference(split_clause,[status(thm)],[f2820,f320,f2817,f1141])). 10.58/1.78 fof(f2856,plain,( 10.58/1.78 model_max(sk0_2,sk0_0,sk0_2)|~spl0_18), 10.58/1.78 inference(paramodulation,[status(thm)],[f1496,f75])). 10.58/1.78 fof(f2881,plain,( 10.58/1.78 model_max(sk0_0,sk0_2,sk0_2)|~spl0_18), 10.58/1.78 inference(paramodulation,[status(thm)],[f1491,f75])). 10.58/1.78 fof(f2909,plain,( 10.58/1.78 ![X0]: (~minsol_model_ub(sk0_0,sk0_1,X0)|X0=sk0_2|~spl0_0)), 10.58/1.78 inference(resolution,[status(thm)],[f68,f144])). 10.58/1.78 fof(f2916,plain,( 10.58/1.78 sk0_0=sk0_2|~ub(sk0_0,sk0_1,sk0_0)|~spl0_0), 10.58/1.78 inference(resolution,[status(thm)],[f1541,f1078])). 10.58/1.78 fof(f2917,plain,( 10.58/1.78 spl0_4|~spl0_35|~spl0_0), 10.58/1.78 inference(split_clause,[status(thm)],[f2916,f320,f2269,f67])). 10.58/1.78 fof(f2939,plain,( 10.58/1.78 ~ub(sk0_0,sk0_1,sk0_1)|lesseq(sk0_1,sk0_0)|~spl0_4|~spl0_0), 10.58/1.78 inference(resolution,[status(thm)],[f2548,f600])). 10.58/1.78 fof(f2940,plain,( 10.58/1.78 ~spl0_24|spl0_22|~spl0_4|~spl0_0), 10.58/1.78 inference(split_clause,[status(thm)],[f2939,f1528,f1434,f320,f67])). 10.58/1.78 fof(f2965,plain,( 10.58/1.78 ![X0]: (~minsol_model_ub(sk0_0,sk0_1,X0)|X0=sk0_0|~spl0_4|~spl0_0)), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f321,f2909])). 10.58/1.78 fof(f2966,plain,( 10.58/1.78 sk0_0=sk0_0|~ub(sk0_0,sk0_1,sk0_0)|~spl0_4|~spl0_0), 10.58/1.78 inference(resolution,[status(thm)],[f2965,f1078])). 10.58/1.78 fof(f2967,plain,( 10.58/1.78 spl0_11|~spl0_35|~spl0_4|~spl0_0), 10.58/1.78 inference(split_clause,[status(thm)],[f2966,f763,f2269,f320,f67])). 10.58/1.78 fof(f3009,plain,( 10.58/1.78 ~minsol_model_max(sk0_0,sk0_1,sk0_0)|~spl0_4|spl0_1), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f321,f72])). 10.58/1.78 fof(f3014,plain,( 10.58/1.78 spl0_46 <=> model_max(sk0_1,sk0_0,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f3016,plain,( 10.58/1.78 ~model_max(sk0_1,sk0_0,sk0_0)|spl0_46), 10.58/1.78 inference(component_clause,[status(thm)],[f3014])). 10.58/1.78 fof(f3023,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_0)|~model_max(sk0_1,sk0_0,sk0_0)|minsol_model_max(sk0_1,sk0_0,sk0_0)|~spl0_3|~spl0_37), 10.58/1.78 inference(paramodulation,[status(thm)],[f2671,f63])). 10.58/1.78 fof(f3024,plain,( 10.58/1.78 ~spl0_8|~spl0_46|spl0_38|~spl0_3|~spl0_37), 10.58/1.78 inference(split_clause,[status(thm)],[f3023,f602,f3014,f2664,f313,f2661])). 10.58/1.78 fof(f3027,plain,( 10.58/1.78 $false|~spl0_3|spl0_46), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f3016,f1315])). 10.58/1.78 fof(f3028,plain,( 10.58/1.78 ~spl0_3|spl0_46), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f3027])). 10.58/1.78 fof(f3039,plain,( 10.58/1.78 spl0_47 <=> model_max(sk0_0,sk0_1,sk0_0)), 10.58/1.78 introduced(split_symbol_definition)). 10.58/1.78 fof(f3041,plain,( 10.58/1.78 ~model_max(sk0_0,sk0_1,sk0_0)|spl0_47), 10.58/1.78 inference(component_clause,[status(thm)],[f3039])). 10.58/1.78 fof(f3048,plain,( 10.58/1.78 ~lesseq(sk0_0,sk0_0)|~model_max(sk0_0,sk0_1,sk0_0)|minsol_model_max(sk0_0,sk0_1,sk0_0)|spl0_16|~spl0_39), 10.58/1.78 inference(paramodulation,[status(thm)],[f2683,f63])). 10.58/1.78 fof(f3049,plain,( 10.58/1.78 ~spl0_8|~spl0_47|spl0_40|spl0_16|~spl0_39), 10.58/1.78 inference(split_clause,[status(thm)],[f3048,f602,f3039,f2676,f1100,f2673])). 10.58/1.78 fof(f3052,plain,( 10.58/1.78 $false|~spl0_6|spl0_47), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f3041,f1251])). 10.58/1.78 fof(f3053,plain,( 10.58/1.78 ~spl0_6|spl0_47), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f3052])). 10.58/1.78 fof(f3054,plain,( 10.58/1.78 $false|~spl0_4|spl0_1|~spl0_40), 10.58/1.78 inference(forward_subsumption_resolution,[status(thm)],[f2677,f3009])). 10.58/1.78 fof(f3055,plain,( 10.58/1.78 ~spl0_4|spl0_1|~spl0_40), 10.58/1.78 inference(contradiction_clause,[status(thm)],[f3054])). 10.58/1.78 fof(f3177,plain,( 10.58/1.78 max(sk0_0,sk0_1)=sk0_2|~spl0_2|~spl0_41), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f311,f2818])). 10.58/1.78 fof(f3178,plain,( 10.58/1.78 max(sk0_0,sk0_1)=sk0_1|~spl0_2|~spl0_41), 10.58/1.78 inference(forward_demodulation,[status(thm)],[f311,f3177])). 10.58/1.79 fof(f4625,plain,( 10.58/1.79 model_max(sk0_0,sk0_1,sk0_2)|~spl0_2|~spl0_18), 10.58/1.79 inference(forward_demodulation,[status(thm)],[f311,f2881])). 10.58/1.79 fof(f4626,plain,( 10.58/1.79 model_max(sk0_0,sk0_1,sk0_1)|~spl0_2|~spl0_18), 10.58/1.79 inference(forward_demodulation,[status(thm)],[f311,f4625])). 10.58/1.79 fof(f4628,plain,( 10.58/1.79 sk0_4(sk0_1,sk0_1,sk0_0)=max(sk0_0,sk0_1)|minsol_model_max(sk0_0,sk0_1,sk0_1)|~spl0_2|~spl0_18), 10.58/1.79 inference(resolution,[status(thm)],[f4626,f83])). 10.58/1.79 fof(f4629,plain,( 10.58/1.79 spl0_12|spl0_13|~spl0_2|~spl0_18), 10.58/1.79 inference(split_clause,[status(thm)],[f4628,f943,f946,f310,f1141])). 10.58/1.79 fof(f4632,plain,( 10.58/1.79 sk0_4(sk0_1,sk0_1,sk0_0)=sk0_1|~spl0_2|~spl0_41|~spl0_12), 10.58/1.79 inference(forward_demodulation,[status(thm)],[f3178,f944])). 10.58/1.79 fof(f4633,plain,( 10.58/1.79 model_max(sk0_1,sk0_0,sk0_2)|~spl0_2|~spl0_18), 10.58/1.79 inference(forward_demodulation,[status(thm)],[f311,f2856])). 10.58/1.79 fof(f4634,plain,( 10.58/1.79 model_max(sk0_1,sk0_0,sk0_1)|~spl0_2|~spl0_18), 10.58/1.79 inference(forward_demodulation,[status(thm)],[f311,f4633])). 10.58/1.79 fof(f4636,plain,( 10.58/1.79 sk0_4(sk0_1,sk0_0,sk0_1)=max(sk0_1,sk0_0)|minsol_model_max(sk0_1,sk0_0,sk0_1)|~spl0_2|~spl0_18), 10.58/1.79 inference(resolution,[status(thm)],[f4634,f83])). 10.58/1.79 fof(f4637,plain,( 10.58/1.79 spl0_14|spl0_15|~spl0_2|~spl0_18), 10.58/1.79 inference(split_clause,[status(thm)],[f4636,f1067,f1070,f310,f1141])). 10.58/1.79 fof(f4681,plain,( 10.58/1.79 ~minsol_model_max(sk0_0,sk0_1,sk0_1)|~spl0_2|spl0_1), 10.58/1.79 inference(forward_demodulation,[status(thm)],[f311,f72])). 10.58/1.79 fof(f5104,plain,( 10.58/1.79 spl0_79 <=> model_max(sk0_0,sk0_1,sk0_1)), 10.58/1.79 introduced(split_symbol_definition)). 10.58/1.79 fof(f5106,plain,( 10.58/1.79 ~model_max(sk0_0,sk0_1,sk0_1)|spl0_79), 10.58/1.79 inference(component_clause,[status(thm)],[f5104])). 10.58/1.79 fof(f5115,plain,( 10.58/1.79 ~lesseq(sk0_1,sk0_1)|~model_max(sk0_0,sk0_1,sk0_1)|minsol_model_max(sk0_0,sk0_1,sk0_1)|~spl0_2|~spl0_41|~spl0_12), 10.58/1.79 inference(paramodulation,[status(thm)],[f4632,f63])). 10.58/1.79 fof(f5116,plain,( 10.58/1.79 ~spl0_17|~spl0_79|spl0_13|~spl0_2|~spl0_41|~spl0_12), 10.58/1.79 inference(split_clause,[status(thm)],[f5115,f1103,f5104,f946,f310,f2817,f943])). 10.58/1.79 fof(f5119,plain,( 10.58/1.79 $false|~spl0_2|~spl0_18|spl0_79), 10.58/1.79 inference(forward_subsumption_resolution,[status(thm)],[f5106,f4626])). 10.58/1.79 fof(f5120,plain,( 10.58/1.79 ~spl0_2|~spl0_18|spl0_79), 10.58/1.79 inference(contradiction_clause,[status(thm)],[f5119])). 10.58/1.79 fof(f5122,plain,( 10.58/1.79 $false|~spl0_2|spl0_1|~spl0_13), 10.58/1.79 inference(forward_subsumption_resolution,[status(thm)],[f947,f4681])). 10.58/1.79 fof(f5123,plain,( 10.58/1.79 ~spl0_2|spl0_1|~spl0_13), 10.58/1.79 inference(contradiction_clause,[status(thm)],[f5122])). 10.58/1.79 fof(f5124,plain,( 10.58/1.79 $false), 10.58/1.79 inference(sat_refutation,[status(thm)],[f73,f74,f317,f327,f334,f608,f651,f689,f1107,f1121,f1128,f1226,f1228,f1296,f1317,f1409,f1420,f1438,f1443,f1527,f1537,f1559,f1564,f1587,f1608,f1667,f2064,f2068,f2076,f2084,f2114,f2118,f2168,f2389,f2434,f2435,f2510,f2582,f2668,f2680,f2728,f2821,f2917,f2940,f2967,f3024,f3028,f3049,f3053,f3055,f4629,f4637,f5116,f5120,f5123])). 10.58/1.79 % SZS output end CNFRefutation for theBenchmark.p 10.58/1.79 % Elapsed time: 1.486516 seconds 10.58/1.79 % CPU time: 10.633549 seconds 10.58/1.79 % Memory used: 126.414 MB 10.58/1.79 EOF