TSTP Solution File: NUM858+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM858+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:35:58 EDT 2024
% Result : Theorem 172.27s 22.04s
% Output : CNFRefutation 172.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM858+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:14:16 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 172.27/22.04 % Refutation found
% 172.27/22.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 172.27/22.04 % SZS output start CNFRefutation for theBenchmark
% 172.27/22.04 fof(f1,axiom,(
% 172.27/22.04 (! [X] : lesseq(X,X) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f3,axiom,(
% 172.27/22.04 (! [X,Y] :( ( lesseq(X,Y)& lesseq(Y,X) )=> X = Y ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f4,axiom,(
% 172.27/22.04 (! [X,Y] :( lesseq(X,Y)| lesseq(Y,X) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f7,axiom,(
% 172.27/22.04 (! [X,Y] :( max(X,Y) = X| ~ lesseq(Y,X) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f8,axiom,(
% 172.27/22.04 (! [X,Y] :( max(X,Y) = Y| ~ lesseq(X,Y) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f9,axiom,(
% 172.27/22.04 (! [X,Y,Z] :( ub(X,Y,Z)<=> ( lesseq(X,Z)& lesseq(Y,Z) ) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f10,axiom,(
% 172.27/22.04 (! [X,Y,N] :( model_max(X,Y,N)<=> N = max(X,Y) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f11,axiom,(
% 172.27/22.04 (! [X,Y,N] :( model_ub(X,Y,N)<=> ub(X,Y,N) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f12,axiom,(
% 172.27/22.04 (! [X,Y,N] :( minsol_model_max(X,Y,N)<=> ( model_max(X,Y,N)& (! [Z] :( model_max(X,Y,Z)=> lesseq(N,Z) ) )) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f13,axiom,(
% 172.27/22.04 (! [X,Y,N] :( minsol_model_ub(X,Y,N)<=> ( model_ub(X,Y,N)& (! [Z] :( model_ub(X,Y,Z)=> lesseq(N,Z) ) )) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f14,conjecture,(
% 172.27/22.04 (! [X,Y,Z] :( minsol_model_ub(X,Y,Z)<=> minsol_model_max(X,Y,Z) ) )),
% 172.27/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.27/22.04 fof(f15,negated_conjecture,(
% 172.27/22.04 ~((! [X,Y,Z] :( minsol_model_ub(X,Y,Z)<=> minsol_model_max(X,Y,Z) ) ))),
% 172.27/22.04 inference(negated_conjecture,[status(cth)],[f14])).
% 172.27/22.04 fof(f16,plain,(
% 172.27/22.04 ![X0]: (lesseq(X0,X0))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f1])).
% 172.27/22.04 fof(f20,plain,(
% 172.27/22.04 ![X,Y]: ((~lesseq(X,Y)|~lesseq(Y,X))|X=Y)),
% 172.27/22.04 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 172.27/22.04 fof(f21,plain,(
% 172.27/22.04 ![X0,X1]: (~lesseq(X0,X1)|~lesseq(X1,X0)|X0=X1)),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f20])).
% 172.27/22.04 fof(f22,plain,(
% 172.27/22.04 ![X0,X1]: (lesseq(X0,X1)|lesseq(X1,X0))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f4])).
% 172.27/22.04 fof(f31,plain,(
% 172.27/22.04 ![X0,X1]: (max(X0,X1)=X0|~lesseq(X1,X0))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f7])).
% 172.27/22.04 fof(f32,plain,(
% 172.27/22.04 ![X0,X1]: (max(X0,X1)=X1|~lesseq(X0,X1))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f8])).
% 172.27/22.04 fof(f33,plain,(
% 172.27/22.04 ![X,Y,Z]: ((~ub(X,Y,Z)|(lesseq(X,Z)&lesseq(Y,Z)))&(ub(X,Y,Z)|(~lesseq(X,Z)|~lesseq(Y,Z))))),
% 172.27/22.04 inference(NNF_transformation,[status(esa)],[f9])).
% 172.27/22.04 fof(f34,plain,(
% 172.27/22.04 (![X,Y,Z]: (~ub(X,Y,Z)|(lesseq(X,Z)&lesseq(Y,Z))))&(![X,Y,Z]: (ub(X,Y,Z)|(~lesseq(X,Z)|~lesseq(Y,Z))))),
% 172.27/22.04 inference(miniscoping,[status(esa)],[f33])).
% 172.27/22.04 fof(f35,plain,(
% 172.27/22.04 ![X0,X1,X2]: (~ub(X0,X1,X2)|lesseq(X0,X2))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f34])).
% 172.27/22.04 fof(f36,plain,(
% 172.27/22.04 ![X0,X1,X2]: (~ub(X0,X1,X2)|lesseq(X1,X2))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f34])).
% 172.27/22.04 fof(f37,plain,(
% 172.27/22.04 ![X0,X1,X2]: (ub(X0,X1,X2)|~lesseq(X0,X2)|~lesseq(X1,X2))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f34])).
% 172.27/22.04 fof(f38,plain,(
% 172.27/22.04 ![X,Y,N]: ((~model_max(X,Y,N)|N=max(X,Y))&(model_max(X,Y,N)|~N=max(X,Y)))),
% 172.27/22.04 inference(NNF_transformation,[status(esa)],[f10])).
% 172.27/22.04 fof(f39,plain,(
% 172.27/22.04 (![X,Y,N]: (~model_max(X,Y,N)|N=max(X,Y)))&(![X,Y,N]: (model_max(X,Y,N)|~N=max(X,Y)))),
% 172.27/22.04 inference(miniscoping,[status(esa)],[f38])).
% 172.27/22.04 fof(f40,plain,(
% 172.27/22.04 ![X0,X1,X2]: (~model_max(X0,X1,X2)|X2=max(X0,X1))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f39])).
% 172.27/22.04 fof(f41,plain,(
% 172.27/22.04 ![X0,X1,X2]: (model_max(X0,X1,X2)|~X2=max(X0,X1))),
% 172.27/22.04 inference(cnf_transformation,[status(esa)],[f39])).
% 172.27/22.04 fof(f42,plain,(
% 172.27/22.04 ![X,Y,N]: ((~model_ub(X,Y,N)|ub(X,Y,N))&(model_ub(X,Y,N)|~ub(X,Y,N)))),
% 172.27/22.04 inference(NNF_transformation,[status(esa)],[f11])).
% 172.27/22.04 fof(f43,plain,(
% 172.27/22.04 (![X,Y,N]: (~model_ub(X,Y,N)|ub(X,Y,N)))&(![X,Y,N]: (model_ub(X,Y,N)|~ub(X,Y,N)))),
% 172.27/22.04 inference(miniscoping,[status(esa)],[f42])).
% 172.27/22.04 fof(f44,plain,(
% 172.27/22.04 ![X0,X1,X2]: (~model_ub(X0,X1,X2)|ub(X0,X1,X2))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f43])).
% 172.27/22.05 fof(f45,plain,(
% 172.27/22.05 ![X0,X1,X2]: (model_ub(X0,X1,X2)|~ub(X0,X1,X2))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f43])).
% 172.27/22.05 fof(f46,plain,(
% 172.27/22.05 ![X,Y,N]: (minsol_model_max(X,Y,N)<=>(model_max(X,Y,N)&(![Z]: (~model_max(X,Y,Z)|lesseq(N,Z)))))),
% 172.27/22.05 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 172.27/22.05 fof(f47,plain,(
% 172.27/22.05 ![X,Y,N]: ((~minsol_model_max(X,Y,N)|(model_max(X,Y,N)&(![Z]: (~model_max(X,Y,Z)|lesseq(N,Z)))))&(minsol_model_max(X,Y,N)|(~model_max(X,Y,N)|(?[Z]: (model_max(X,Y,Z)&~lesseq(N,Z))))))),
% 172.27/22.05 inference(NNF_transformation,[status(esa)],[f46])).
% 172.27/22.05 fof(f48,plain,(
% 172.27/22.05 (![X,Y,N]: (~minsol_model_max(X,Y,N)|(model_max(X,Y,N)&(![Z]: (~model_max(X,Y,Z)|lesseq(N,Z))))))&(![X,Y,N]: (minsol_model_max(X,Y,N)|(~model_max(X,Y,N)|(?[Z]: (model_max(X,Y,Z)&~lesseq(N,Z))))))),
% 172.27/22.05 inference(miniscoping,[status(esa)],[f47])).
% 172.27/22.05 fof(f49,plain,(
% 172.27/22.05 (![X,Y,N]: (~minsol_model_max(X,Y,N)|(model_max(X,Y,N)&(![Z]: (~model_max(X,Y,Z)|lesseq(N,Z))))))&(![X,Y,N]: (minsol_model_max(X,Y,N)|(~model_max(X,Y,N)|(model_max(X,Y,sk0_0(N,Y,X))&~lesseq(N,sk0_0(N,Y,X))))))),
% 172.27/22.05 inference(skolemization,[status(esa)],[f48])).
% 172.27/22.05 fof(f50,plain,(
% 172.27/22.05 ![X0,X1,X2]: (~minsol_model_max(X0,X1,X2)|model_max(X0,X1,X2))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f49])).
% 172.27/22.05 fof(f52,plain,(
% 172.27/22.05 ![X0,X1,X2]: (minsol_model_max(X0,X1,X2)|~model_max(X0,X1,X2)|model_max(X0,X1,sk0_0(X2,X1,X0)))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f49])).
% 172.27/22.05 fof(f53,plain,(
% 172.27/22.05 ![X0,X1,X2]: (minsol_model_max(X0,X1,X2)|~model_max(X0,X1,X2)|~lesseq(X2,sk0_0(X2,X1,X0)))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f49])).
% 172.27/22.05 fof(f54,plain,(
% 172.27/22.05 ![X,Y,N]: (minsol_model_ub(X,Y,N)<=>(model_ub(X,Y,N)&(![Z]: (~model_ub(X,Y,Z)|lesseq(N,Z)))))),
% 172.27/22.05 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 172.27/22.05 fof(f55,plain,(
% 172.27/22.05 ![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))))))),
% 172.27/22.05 inference(NNF_transformation,[status(esa)],[f54])).
% 172.27/22.05 fof(f56,plain,(
% 172.27/22.05 (![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))))))),
% 172.27/22.05 inference(miniscoping,[status(esa)],[f55])).
% 172.27/22.05 fof(f57,plain,(
% 172.27/22.05 (![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_1(N,Y,X))&~lesseq(N,sk0_1(N,Y,X))))))),
% 172.27/22.05 inference(skolemization,[status(esa)],[f56])).
% 172.27/22.05 fof(f58,plain,(
% 172.27/22.05 ![X0,X1,X2]: (~minsol_model_ub(X0,X1,X2)|model_ub(X0,X1,X2))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f57])).
% 172.27/22.05 fof(f59,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (~minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X3)|lesseq(X2,X3))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f57])).
% 172.27/22.05 fof(f60,plain,(
% 172.27/22.05 ![X0,X1,X2]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|model_ub(X0,X1,sk0_1(X2,X1,X0)))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f57])).
% 172.27/22.05 fof(f61,plain,(
% 172.27/22.05 ![X0,X1,X2]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|~lesseq(X2,sk0_1(X2,X1,X0)))),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f57])).
% 172.27/22.05 fof(f62,plain,(
% 172.27/22.05 (?[X,Y,Z]: (minsol_model_ub(X,Y,Z)<~>minsol_model_max(X,Y,Z)))),
% 172.27/22.05 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 172.27/22.05 fof(f63,plain,(
% 172.27/22.05 ?[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)))),
% 172.27/22.05 inference(NNF_transformation,[status(esa)],[f62])).
% 172.27/22.05 fof(f64,plain,(
% 172.27/22.05 ((minsol_model_ub(sk0_2,sk0_3,sk0_4)|minsol_model_max(sk0_2,sk0_3,sk0_4))&(~minsol_model_ub(sk0_2,sk0_3,sk0_4)|~minsol_model_max(sk0_2,sk0_3,sk0_4)))),
% 172.27/22.05 inference(skolemization,[status(esa)],[f63])).
% 172.27/22.05 fof(f65,plain,(
% 172.27/22.05 minsol_model_ub(sk0_2,sk0_3,sk0_4)|minsol_model_max(sk0_2,sk0_3,sk0_4)),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f64])).
% 172.27/22.05 fof(f66,plain,(
% 172.27/22.05 ~minsol_model_ub(sk0_2,sk0_3,sk0_4)|~minsol_model_max(sk0_2,sk0_3,sk0_4)),
% 172.27/22.05 inference(cnf_transformation,[status(esa)],[f64])).
% 172.27/22.05 fof(f67,plain,(
% 172.27/22.05 spl0_0 <=> minsol_model_ub(sk0_2,sk0_3,sk0_4)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f68,plain,(
% 172.27/22.05 minsol_model_ub(sk0_2,sk0_3,sk0_4)|~spl0_0),
% 172.27/22.05 inference(component_clause,[status(thm)],[f67])).
% 172.27/22.05 fof(f69,plain,(
% 172.27/22.05 ~minsol_model_ub(sk0_2,sk0_3,sk0_4)|spl0_0),
% 172.27/22.05 inference(component_clause,[status(thm)],[f67])).
% 172.27/22.05 fof(f70,plain,(
% 172.27/22.05 spl0_1 <=> minsol_model_max(sk0_2,sk0_3,sk0_4)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f71,plain,(
% 172.27/22.05 minsol_model_max(sk0_2,sk0_3,sk0_4)|~spl0_1),
% 172.27/22.05 inference(component_clause,[status(thm)],[f70])).
% 172.27/22.05 fof(f72,plain,(
% 172.27/22.05 ~minsol_model_max(sk0_2,sk0_3,sk0_4)|spl0_1),
% 172.27/22.05 inference(component_clause,[status(thm)],[f70])).
% 172.27/22.05 fof(f73,plain,(
% 172.27/22.05 spl0_0|spl0_1),
% 172.27/22.05 inference(split_clause,[status(thm)],[f65,f67,f70])).
% 172.27/22.05 fof(f74,plain,(
% 172.27/22.05 ~spl0_0|~spl0_1),
% 172.27/22.05 inference(split_clause,[status(thm)],[f66,f67,f70])).
% 172.27/22.05 fof(f75,plain,(
% 172.27/22.05 ![X0,X1]: (model_max(X0,X1,max(X0,X1)))),
% 172.27/22.05 inference(destructive_equality_resolution,[status(esa)],[f41])).
% 172.27/22.05 fof(f76,plain,(
% 172.27/22.05 model_max(sk0_2,sk0_3,sk0_4)|~spl0_1),
% 172.27/22.05 inference(resolution,[status(thm)],[f50,f71])).
% 172.27/22.05 fof(f77,plain,(
% 172.27/22.05 ![X0,X1,X2]: (max(X0,X1)=X0|~ub(X2,X1,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f31,f36])).
% 172.27/22.05 fof(f78,plain,(
% 172.27/22.05 ![X0,X1,X2]: (max(X0,X1)=X0|~ub(X1,X2,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f31,f35])).
% 172.27/22.05 fof(f79,plain,(
% 172.27/22.05 ![X0,X1]: (max(X0,X1)=X0|lesseq(X0,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f31,f22])).
% 172.27/22.05 fof(f80,plain,(
% 172.27/22.05 ![X0]: (max(X0,X0)=X0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f31,f16])).
% 172.27/22.05 fof(f87,plain,(
% 172.27/22.05 ![X0]: (model_max(X0,X0,X0))),
% 172.27/22.05 inference(paramodulation,[status(thm)],[f80,f75])).
% 172.27/22.05 fof(f88,plain,(
% 172.27/22.05 ![X0,X1]: (max(X0,X1)=X0|max(X1,X0)=X1)),
% 172.27/22.05 inference(resolution,[status(thm)],[f79,f31])).
% 172.27/22.05 fof(f91,plain,(
% 172.27/22.05 ![X0,X1,X2]: (max(X0,X1)=X1|~ub(X0,X2,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f32,f35])).
% 172.27/22.05 fof(f92,plain,(
% 172.27/22.05 ![X0,X1]: (max(X0,X1)=X1|lesseq(X1,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f32,f22])).
% 172.27/22.05 fof(f100,plain,(
% 172.27/22.05 ![X0,X1]: (max(X0,X1)=X1|max(X1,X0)=X0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f92,f32])).
% 172.27/22.05 fof(f104,plain,(
% 172.27/22.05 ![X0,X1,X2]: (~lesseq(X0,X1)|X0=X1|~ub(X2,X1,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f21,f36])).
% 172.27/22.05 fof(f105,plain,(
% 172.27/22.05 ![X0,X1,X2]: (~lesseq(X0,X1)|X0=X1|~ub(X1,X2,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f21,f35])).
% 172.27/22.05 fof(f123,plain,(
% 172.27/22.05 spl0_2 <=> sk0_4=sk0_4),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f126,plain,(
% 172.27/22.05 spl0_3 <=> ~ub(X0,sk0_4,sk0_4)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f127,plain,(
% 172.27/22.05 ![X0]: (~ub(X0,sk0_4,sk0_4)|~spl0_3)),
% 172.27/22.05 inference(component_clause,[status(thm)],[f126])).
% 172.27/22.05 fof(f131,plain,(
% 172.27/22.05 spl0_4 <=> max(sk0_2,sk0_3)=sk0_4),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f132,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_4|~spl0_4),
% 172.27/22.05 inference(component_clause,[status(thm)],[f131])).
% 172.27/22.05 fof(f133,plain,(
% 172.27/22.05 ~max(sk0_2,sk0_3)=sk0_4|spl0_4),
% 172.27/22.05 inference(component_clause,[status(thm)],[f131])).
% 172.27/22.05 fof(f148,plain,(
% 172.27/22.05 spl0_6 <=> ~ub(sk0_4,X0,sk0_4)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f149,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_4,X0,sk0_4)|~spl0_6)),
% 172.27/22.05 inference(component_clause,[status(thm)],[f148])).
% 172.27/22.05 fof(f171,plain,(
% 172.27/22.05 spl0_10 <=> max(sk0_3,sk0_2)=sk0_3),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f172,plain,(
% 172.27/22.05 max(sk0_3,sk0_2)=sk0_3|~spl0_10),
% 172.27/22.05 inference(component_clause,[status(thm)],[f171])).
% 172.27/22.05 fof(f174,plain,(
% 172.27/22.05 spl0_11 <=> sk0_4=sk0_2),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f175,plain,(
% 172.27/22.05 sk0_4=sk0_2|~spl0_11),
% 172.27/22.05 inference(component_clause,[status(thm)],[f174])).
% 172.27/22.05 fof(f177,plain,(
% 172.27/22.05 max(sk0_3,sk0_2)=sk0_3|sk0_4=sk0_2|~spl0_4),
% 172.27/22.05 inference(paramodulation,[status(thm)],[f132,f88])).
% 172.27/22.05 fof(f178,plain,(
% 172.27/22.05 spl0_10|spl0_11|~spl0_4),
% 172.27/22.05 inference(split_clause,[status(thm)],[f177,f171,f174,f131])).
% 172.27/22.05 fof(f186,plain,(
% 172.27/22.05 spl0_13 <=> max(sk0_2,sk0_3)=sk0_2),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f187,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_2|~spl0_13),
% 172.27/22.05 inference(component_clause,[status(thm)],[f186])).
% 172.27/22.05 fof(f224,plain,(
% 172.27/22.05 sk0_4=max(sk0_2,sk0_3)|~spl0_1),
% 172.27/22.05 inference(resolution,[status(thm)],[f76,f40])).
% 172.27/22.05 fof(f270,plain,(
% 172.27/22.05 spl0_17 <=> ~ub(sk0_2,X0,sk0_4)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f271,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_2,X0,sk0_4)|~spl0_17)),
% 172.27/22.05 inference(component_clause,[status(thm)],[f270])).
% 172.27/22.05 fof(f286,plain,(
% 172.27/22.05 spl0_20 <=> sk0_4=sk0_3),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f287,plain,(
% 172.27/22.05 sk0_4=sk0_3|~spl0_20),
% 172.27/22.05 inference(component_clause,[status(thm)],[f286])).
% 172.27/22.05 fof(f288,plain,(
% 172.27/22.05 ~sk0_4=sk0_3|spl0_20),
% 172.27/22.05 inference(component_clause,[status(thm)],[f286])).
% 172.27/22.05 fof(f291,plain,(
% 172.27/22.05 spl0_21 <=> sk0_3=sk0_2),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f292,plain,(
% 172.27/22.05 sk0_3=sk0_2|~spl0_21),
% 172.27/22.05 inference(component_clause,[status(thm)],[f291])).
% 172.27/22.05 fof(f293,plain,(
% 172.27/22.05 ~sk0_3=sk0_2|spl0_21),
% 172.27/22.05 inference(component_clause,[status(thm)],[f291])).
% 172.27/22.05 fof(f501,plain,(
% 172.27/22.05 spl0_25 <=> max(sk0_2,sk0_3)=sk0_3),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f502,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_3|~spl0_25),
% 172.27/22.05 inference(component_clause,[status(thm)],[f501])).
% 172.27/22.05 fof(f618,plain,(
% 172.27/22.05 spl0_36 <=> ~ub(sk0_2,X0,sk0_2)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f619,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_2,X0,sk0_2)|~spl0_36)),
% 172.27/22.05 inference(component_clause,[status(thm)],[f618])).
% 172.27/22.05 fof(f693,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_3|sk0_3=sk0_2|~spl0_10),
% 172.27/22.05 inference(paramodulation,[status(thm)],[f172,f100])).
% 172.27/22.05 fof(f694,plain,(
% 172.27/22.05 spl0_25|spl0_21|~spl0_10),
% 172.27/22.05 inference(split_clause,[status(thm)],[f693,f501,f291,f171])).
% 172.27/22.05 fof(f703,plain,(
% 172.27/22.05 ![X0,X1]: (model_max(X0,X1,X1)|max(X1,X0)=X0)),
% 172.27/22.05 inference(paramodulation,[status(thm)],[f100,f75])).
% 172.27/22.05 fof(f718,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (X0=X1|~ub(X2,X1,X0)|~ub(X3,X0,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f104,f36])).
% 172.27/22.05 fof(f719,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (X0=X1|~ub(X2,X1,X0)|~ub(X0,X3,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f104,f35])).
% 172.27/22.05 fof(f726,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (X0=X1|~ub(X1,X2,X0)|~ub(X0,X3,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f105,f35])).
% 172.27/22.05 fof(f803,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (ub(X0,X1,X2)|~lesseq(X0,X2)|~ub(X1,X3,X2))),
% 172.27/22.05 inference(resolution,[status(thm)],[f37,f35])).
% 172.27/22.05 fof(f805,plain,(
% 172.27/22.05 ![X0,X1]: (ub(X0,X1,X1)|~lesseq(X0,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f37,f16])).
% 172.27/22.05 fof(f815,plain,(
% 172.27/22.05 ![X0,X1]: (ub(X0,X1,X1)|max(X1,X0)=X0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f805,f92])).
% 172.27/22.05 fof(f816,plain,(
% 172.27/22.05 ![X0,X1]: (ub(X0,X1,X1)|max(X0,X1)=X0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f805,f79])).
% 172.27/22.05 fof(f817,plain,(
% 172.27/22.05 ![X0,X1,X2]: (ub(X0,X1,X1)|~ub(X2,X0,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f805,f36])).
% 172.27/22.05 fof(f819,plain,(
% 172.27/22.05 ![X0,X1]: (ub(X0,X1,X1)|lesseq(X1,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f805,f22])).
% 172.27/22.05 fof(f820,plain,(
% 172.27/22.05 ![X0]: (ub(X0,X0,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f805,f16])).
% 172.27/22.05 fof(f821,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (ub(X0,X1,X1)|~minsol_model_ub(X2,X3,X0)|~model_ub(X2,X3,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f805,f59])).
% 172.27/22.05 fof(f828,plain,(
% 172.27/22.05 ![X0,X1]: (ub(X0,X1,X1)|ub(X1,X0,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f819,f805])).
% 172.27/22.05 fof(f1279,plain,(
% 172.27/22.05 ![X0,X1,X2]: (ub(X0,X1,X0)|~ub(X1,X2,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f803,f16])).
% 172.27/22.05 fof(f1524,plain,(
% 172.27/22.05 ![X0,X1,X2]: (minsol_model_max(X0,X1,X2)|~model_max(X0,X1,X2)|sk0_0(X2,X1,X0)=max(X0,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f52,f40])).
% 172.27/22.05 fof(f1541,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (minsol_model_max(X0,X1,X2)|~model_max(X0,X1,X2)|~ub(X2,X3,sk0_0(X2,X1,X0)))),
% 172.27/22.05 inference(resolution,[status(thm)],[f53,f35])).
% 172.27/22.05 fof(f1545,plain,(
% 172.27/22.05 ![X0,X1,X2]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|ub(X0,X1,sk0_1(X2,X1,X0)))),
% 172.27/22.05 inference(resolution,[status(thm)],[f60,f44])).
% 172.27/22.05 fof(f1561,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|~ub(X3,X2,sk0_1(X2,X1,X0)))),
% 172.27/22.05 inference(resolution,[status(thm)],[f61,f36])).
% 172.27/22.05 fof(f1562,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (minsol_model_ub(X0,X1,X2)|~model_ub(X0,X1,X2)|~ub(X2,X3,sk0_1(X2,X1,X0)))),
% 172.27/22.05 inference(resolution,[status(thm)],[f61,f35])).
% 172.27/22.05 fof(f2117,plain,(
% 172.27/22.05 spl0_40 <=> ~ub(X0,sk0_2,sk0_2)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f2118,plain,(
% 172.27/22.05 ![X0]: (~ub(X0,sk0_2,sk0_2)|~spl0_40)),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2117])).
% 172.27/22.05 fof(f2252,plain,(
% 172.27/22.05 spl0_45 <=> sk0_3=sk0_0(sk0_3,sk0_3,sk0_2)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f2253,plain,(
% 172.27/22.05 sk0_3=sk0_0(sk0_3,sk0_3,sk0_2)|~spl0_45),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2252])).
% 172.27/22.05 fof(f2254,plain,(
% 172.27/22.05 ~sk0_3=sk0_0(sk0_3,sk0_3,sk0_2)|spl0_45),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2252])).
% 172.27/22.05 fof(f2262,plain,(
% 172.27/22.05 spl0_47 <=> sk0_0(sk0_3,sk0_3,sk0_2)=sk0_0(sk0_3,sk0_3,sk0_2)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f2264,plain,(
% 172.27/22.05 ~sk0_0(sk0_3,sk0_3,sk0_2)=sk0_0(sk0_3,sk0_3,sk0_2)|spl0_47),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2262])).
% 172.27/22.05 fof(f2281,plain,(
% 172.27/22.05 spl0_49 <=> minsol_model_max(sk0_2,sk0_3,sk0_3)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f2282,plain,(
% 172.27/22.05 minsol_model_max(sk0_2,sk0_3,sk0_3)|~spl0_49),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2281])).
% 172.27/22.05 fof(f2283,plain,(
% 172.27/22.05 ~minsol_model_max(sk0_2,sk0_3,sk0_3)|spl0_49),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2281])).
% 172.27/22.05 fof(f2284,plain,(
% 172.27/22.05 spl0_50 <=> model_max(sk0_2,sk0_3,sk0_3)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f2286,plain,(
% 172.27/22.05 ~model_max(sk0_2,sk0_3,sk0_3)|spl0_50),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2284])).
% 172.27/22.05 fof(f2287,plain,(
% 172.27/22.05 spl0_51 <=> lesseq(sk0_3,sk0_3)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f2289,plain,(
% 172.27/22.05 ~lesseq(sk0_3,sk0_3)|spl0_51),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2287])).
% 172.27/22.05 fof(f2290,plain,(
% 172.27/22.05 minsol_model_max(sk0_2,sk0_3,sk0_3)|~model_max(sk0_2,sk0_3,sk0_3)|~lesseq(sk0_3,sk0_3)|~spl0_45),
% 172.27/22.05 inference(paramodulation,[status(thm)],[f2253,f53])).
% 172.27/22.05 fof(f2291,plain,(
% 172.27/22.05 spl0_49|~spl0_50|~spl0_51|~spl0_45),
% 172.27/22.05 inference(split_clause,[status(thm)],[f2290,f2281,f2284,f2287,f2252])).
% 172.27/22.05 fof(f2294,plain,(
% 172.27/22.05 $false|spl0_51),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f2289,f16])).
% 172.27/22.05 fof(f2295,plain,(
% 172.27/22.05 spl0_51),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f2294])).
% 172.27/22.05 fof(f2342,plain,(
% 172.27/22.05 spl0_55 <=> max(sk0_3,max(sk0_2,sk0_3))=sk0_3),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f2343,plain,(
% 172.27/22.05 max(sk0_3,max(sk0_2,sk0_3))=sk0_3|~spl0_55),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2342])).
% 172.27/22.05 fof(f2344,plain,(
% 172.27/22.05 ~max(sk0_3,max(sk0_2,sk0_3))=sk0_3|spl0_55),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2342])).
% 172.27/22.05 fof(f2816,plain,(
% 172.27/22.05 ![X0,X1,X2,X3]: (ub(X0,X1,X1)|~minsol_model_ub(X2,X3,X0)|~ub(X2,X3,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f821,f45])).
% 172.27/22.05 fof(f2873,plain,(
% 172.27/22.05 spl0_65 <=> ub(sk0_3,sk0_2,sk0_2)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f2874,plain,(
% 172.27/22.05 ub(sk0_3,sk0_2,sk0_2)|~spl0_65),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2873])).
% 172.27/22.05 fof(f2875,plain,(
% 172.27/22.05 ~ub(sk0_3,sk0_2,sk0_2)|spl0_65),
% 172.27/22.05 inference(component_clause,[status(thm)],[f2873])).
% 172.27/22.05 fof(f6303,plain,(
% 172.27/22.05 $false|spl0_47),
% 172.27/22.05 inference(trivial_equality_resolution,[status(esa)],[f2264])).
% 172.27/22.05 fof(f6304,plain,(
% 172.27/22.05 spl0_47),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f6303])).
% 172.27/22.05 fof(f7172,plain,(
% 172.27/22.05 max(sk0_2,sk0_2)=sk0_4|~spl0_21|~spl0_4),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f292,f132])).
% 172.27/22.05 fof(f7173,plain,(
% 172.27/22.05 sk0_2=sk0_4|~spl0_21|~spl0_4),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f80,f7172])).
% 172.27/22.05 fof(f7173,plain,(
% 172.27/22.05 sk0_2=sk0_4|~spl0_21|~spl0_4),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f80,f7172])).
% 172.27/22.05 fof(f7326,plain,(
% 172.27/22.05 ~sk0_2=sk0_3|~spl0_21|~spl0_4|spl0_20),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f7173,f288])).
% 172.27/22.05 fof(f7327,plain,(
% 172.27/22.05 ~sk0_2=sk0_2|~spl0_21|~spl0_4|spl0_20),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f292,f7326])).
% 172.27/22.05 fof(f7328,plain,(
% 172.27/22.05 $false|~spl0_21|~spl0_4|spl0_20),
% 172.27/22.05 inference(trivial_equality_resolution,[status(esa)],[f7327])).
% 172.27/22.05 fof(f7329,plain,(
% 172.27/22.05 ~spl0_21|~spl0_4|spl0_20),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f7328])).
% 172.27/22.05 fof(f7540,plain,(
% 172.27/22.05 ub(sk0_2,sk0_3,sk0_2)|~spl0_65),
% 172.27/22.05 inference(resolution,[status(thm)],[f2874,f1279])).
% 172.27/22.05 fof(f7550,plain,(
% 172.27/22.05 max(sk0_3,sk0_2)=sk0_2|~spl0_65),
% 172.27/22.05 inference(resolution,[status(thm)],[f2874,f91])).
% 172.27/22.05 fof(f7552,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_2|~spl0_65),
% 172.27/22.05 inference(resolution,[status(thm)],[f2874,f78])).
% 172.27/22.05 fof(f7553,plain,(
% 172.27/22.05 sk0_3=sk0_2|~spl0_25|~spl0_65),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f502,f7552])).
% 172.27/22.05 fof(f7554,plain,(
% 172.27/22.05 $false|spl0_21|~spl0_25|~spl0_65),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f7553,f293])).
% 172.27/22.05 fof(f7555,plain,(
% 172.27/22.05 spl0_21|~spl0_25|~spl0_65),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f7554])).
% 172.27/22.05 fof(f7556,plain,(
% 172.27/22.05 ![X0]: (ub(sk0_4,X0,X0)|~ub(sk0_2,sk0_3,X0)|~spl0_0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f68,f2816])).
% 172.27/22.05 fof(f7564,plain,(
% 172.27/22.05 model_ub(sk0_2,sk0_3,sk0_4)|~spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f68,f58])).
% 172.27/22.05 fof(f7565,plain,(
% 172.27/22.05 ![X0]: (ub(X0,sk0_4,sk0_4)|~minsol_model_ub(sk0_2,sk0_3,X0)|~spl0_0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f7564,f821])).
% 172.27/22.05 fof(f7566,plain,(
% 172.27/22.05 ![X0]: (~minsol_model_ub(sk0_2,sk0_3,X0)|~spl0_3|~spl0_0)),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f7565,f127])).
% 172.27/22.05 fof(f7567,plain,(
% 172.27/22.05 ub(sk0_2,sk0_3,sk0_4)|~spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f7564,f44])).
% 172.27/22.05 fof(f7568,plain,(
% 172.27/22.05 $false|~spl0_17|~spl0_0),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f7567,f271])).
% 172.27/22.05 fof(f7569,plain,(
% 172.27/22.05 ~spl0_17|~spl0_0),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f7568])).
% 172.27/22.05 fof(f7572,plain,(
% 172.27/22.05 $false|~spl0_3|~spl0_0),
% 172.27/22.05 inference(backward_subsumption_resolution,[status(thm)],[f68,f7566])).
% 172.27/22.05 fof(f7573,plain,(
% 172.27/22.05 ~spl0_3|~spl0_0),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f7572])).
% 172.27/22.05 fof(f7660,plain,(
% 172.27/22.05 model_max(sk0_2,sk0_3,sk0_4)|~spl0_4),
% 172.27/22.05 inference(paramodulation,[status(thm)],[f132,f75])).
% 172.27/22.05 fof(f8198,plain,(
% 172.27/22.05 ub(sk0_4,sk0_2,sk0_4)|~spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f7567,f1279])).
% 172.27/22.05 fof(f8199,plain,(
% 172.27/22.05 $false|~spl0_6|~spl0_0),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f8198,f149])).
% 172.27/22.05 fof(f8200,plain,(
% 172.27/22.05 ~spl0_6|~spl0_0),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f8199])).
% 172.27/22.05 fof(f8772,plain,(
% 172.27/22.05 ub(sk0_3,sk0_4,sk0_4)|~spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f7567,f817])).
% 172.27/22.05 fof(f8773,plain,(
% 172.27/22.05 spl0_77 <=> ~ub(sk0_4,X0,sk0_2)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f8774,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_4,X0,sk0_2)|~spl0_77)),
% 172.27/22.05 inference(component_clause,[status(thm)],[f8773])).
% 172.27/22.05 fof(f8776,plain,(
% 172.27/22.05 ![X0]: (sk0_4=sk0_2|~ub(sk0_4,X0,sk0_2)|~spl0_0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f7567,f726])).
% 172.27/22.05 fof(f8777,plain,(
% 172.27/22.05 spl0_11|spl0_77|~spl0_0),
% 172.27/22.05 inference(split_clause,[status(thm)],[f8776,f174,f8773,f67])).
% 172.27/22.05 fof(f8778,plain,(
% 172.27/22.05 spl0_78 <=> ~ub(sk0_4,X0,sk0_3)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f8779,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_4,X0,sk0_3)|~spl0_78)),
% 172.27/22.05 inference(component_clause,[status(thm)],[f8778])).
% 172.27/22.05 fof(f8781,plain,(
% 172.27/22.05 ![X0]: (sk0_4=sk0_3|~ub(sk0_4,X0,sk0_3)|~spl0_0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f7567,f719])).
% 172.27/22.05 fof(f8782,plain,(
% 172.27/22.05 spl0_20|spl0_78|~spl0_0),
% 172.27/22.05 inference(split_clause,[status(thm)],[f8781,f286,f8778,f67])).
% 172.27/22.05 fof(f8783,plain,(
% 172.27/22.05 spl0_79 <=> ~ub(X0,sk0_4,sk0_3)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f8784,plain,(
% 172.27/22.05 ![X0]: (~ub(X0,sk0_4,sk0_3)|~spl0_79)),
% 172.27/22.05 inference(component_clause,[status(thm)],[f8783])).
% 172.27/22.05 fof(f8786,plain,(
% 172.27/22.05 ![X0]: (sk0_3=sk0_4|~ub(X0,sk0_4,sk0_3)|~spl0_0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f7567,f718])).
% 172.27/22.05 fof(f8787,plain,(
% 172.27/22.05 spl0_20|spl0_79|~spl0_0),
% 172.27/22.05 inference(split_clause,[status(thm)],[f8786,f286,f8783,f67])).
% 172.27/22.05 fof(f8788,plain,(
% 172.27/22.05 max(sk0_2,sk0_4)=sk0_4|~spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f7567,f91])).
% 172.27/22.05 fof(f8792,plain,(
% 172.27/22.05 max(sk0_4,sk0_3)=sk0_4|~spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f7567,f77])).
% 172.27/22.05 fof(f8803,plain,(
% 172.27/22.05 sk0_3=sk0_2|~spl0_20|~spl0_11),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f287,f175])).
% 172.27/22.05 fof(f8809,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_4|~spl0_20|~spl0_0),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f287,f8788])).
% 172.27/22.05 fof(f8967,plain,(
% 172.27/22.05 ~sk0_2=sk0_2|~spl0_20|~spl0_11|spl0_21),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f8803,f293])).
% 172.27/22.05 fof(f8968,plain,(
% 172.27/22.05 $false|~spl0_20|~spl0_11|spl0_21),
% 172.27/22.05 inference(trivial_equality_resolution,[status(esa)],[f8967])).
% 172.27/22.05 fof(f8969,plain,(
% 172.27/22.05 ~spl0_20|~spl0_11|spl0_21),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f8968])).
% 172.27/22.05 fof(f8976,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_3,X0,sk0_3)|~spl0_20|~spl0_78)),
% 172.27/22.05 inference(backward_demodulation,[status(thm)],[f287,f8779])).
% 172.27/22.05 fof(f8977,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_2,X0,sk0_3)|~spl0_11|~spl0_20|~spl0_78)),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f8803,f8976])).
% 172.27/22.05 fof(f8978,plain,(
% 172.27/22.05 ![X0]: (~ub(X0,sk0_3,sk0_3)|~spl0_20|~spl0_79)),
% 172.27/22.05 inference(backward_demodulation,[status(thm)],[f287,f8784])).
% 172.27/22.05 fof(f8998,plain,(
% 172.27/22.05 ~sk0_2=sk0_4|~spl0_13|spl0_4),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f187,f133])).
% 172.27/22.05 fof(f9108,plain,(
% 172.27/22.05 $false|~spl0_13|spl0_4|~spl0_11),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f175,f8998])).
% 172.27/22.05 fof(f9109,plain,(
% 172.27/22.05 ~spl0_13|spl0_4|~spl0_11),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f9108])).
% 172.27/22.05 fof(f9119,plain,(
% 172.27/22.05 spl0_11|~spl0_21|~spl0_4),
% 172.27/22.05 inference(split_clause,[status(thm)],[f7173,f174,f291,f131])).
% 172.27/22.05 fof(f9121,plain,(
% 172.27/22.05 max(sk0_2,sk0_2)=sk0_4|~spl0_21|~spl0_4),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f292,f132])).
% 172.27/22.05 fof(f9122,plain,(
% 172.27/22.05 sk0_2=sk0_4|~spl0_21|~spl0_4),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f80,f9121])).
% 172.27/22.05 fof(f9197,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_2,X0,sk0_2)|~spl0_21|~spl0_4|~spl0_77)),
% 172.27/22.05 inference(backward_demodulation,[status(thm)],[f9122,f8774])).
% 172.27/22.05 fof(f9198,plain,(
% 172.27/22.05 spl0_36|~spl0_21|~spl0_4|~spl0_77),
% 172.27/22.05 inference(split_clause,[status(thm)],[f9197,f618,f291,f131,f8773])).
% 172.27/22.05 fof(f9209,plain,(
% 172.27/22.05 ![X0]: (~ub(sk0_2,X0,sk0_2)|~spl0_11|~spl0_20|~spl0_78)),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f8803,f8977])).
% 172.27/22.05 fof(f9210,plain,(
% 172.27/22.05 spl0_36|~spl0_11|~spl0_20|~spl0_78),
% 172.27/22.05 inference(split_clause,[status(thm)],[f9209,f618,f174,f286,f8778])).
% 172.27/22.05 fof(f9285,plain,(
% 172.27/22.05 ![X0]: (~ub(X0,sk0_2,sk0_3)|~spl0_11|~spl0_79)),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f175,f8784])).
% 172.27/22.05 fof(f9287,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_4|~spl0_11|~spl0_0),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f175,f8792])).
% 172.27/22.05 fof(f9288,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_2|~spl0_11|~spl0_0),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f175,f9287])).
% 172.27/22.05 fof(f9294,plain,(
% 172.27/22.05 ~minsol_model_ub(sk0_2,sk0_3,sk0_2)|~spl0_11|spl0_0),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f175,f69])).
% 172.27/22.05 fof(f9309,plain,(
% 172.27/22.05 spl0_4|~spl0_1),
% 172.27/22.05 inference(split_clause,[status(thm)],[f224,f131,f70])).
% 172.27/22.05 fof(f9325,plain,(
% 172.27/22.05 max(sk0_3,sk0_2)=sk0_3|~spl0_11|~spl0_0|~spl0_55),
% 172.27/22.05 inference(backward_demodulation,[status(thm)],[f9288,f2343])).
% 172.27/22.05 fof(f9326,plain,(
% 172.27/22.05 sk0_2=sk0_3|~spl0_65|~spl0_11|~spl0_0|~spl0_55),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f7550,f9325])).
% 172.27/22.05 fof(f9369,plain,(
% 172.27/22.05 sk0_2=sk0_4|~spl0_65|~spl0_4),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f7552,f132])).
% 172.27/22.05 fof(f9456,plain,(
% 172.27/22.05 spl0_80 <=> model_max(sk0_2,sk0_2,sk0_2)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f9458,plain,(
% 172.27/22.05 ~model_max(sk0_2,sk0_2,sk0_2)|spl0_80),
% 172.27/22.05 inference(component_clause,[status(thm)],[f9456])).
% 172.27/22.05 fof(f9464,plain,(
% 172.27/22.05 $false|spl0_80),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f9458,f87])).
% 172.27/22.05 fof(f9465,plain,(
% 172.27/22.05 spl0_80),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f9464])).
% 172.27/22.05 fof(f9472,plain,(
% 172.27/22.05 $false|~spl0_36|~spl0_65),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f7540,f619])).
% 172.27/22.05 fof(f9473,plain,(
% 172.27/22.05 ~spl0_36|~spl0_65),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f9472])).
% 172.27/22.05 fof(f9476,plain,(
% 172.27/22.05 spl0_4|~spl0_20|~spl0_0),
% 172.27/22.05 inference(split_clause,[status(thm)],[f8809,f131,f286,f67])).
% 172.27/22.05 fof(f9494,plain,(
% 172.27/22.05 ![X0]: (ub(X0,sk0_3,sk0_4)|~minsol_model_ub(sk0_2,sk0_3,X0)|~spl0_20|~spl0_0)),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f287,f7565])).
% 172.27/22.05 fof(f9495,plain,(
% 172.27/22.05 ![X0]: (ub(X0,sk0_3,sk0_3)|~minsol_model_ub(sk0_2,sk0_3,X0)|~spl0_20|~spl0_0)),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f287,f9494])).
% 172.27/22.05 fof(f9496,plain,(
% 172.27/22.05 ![X0]: (~minsol_model_ub(sk0_2,sk0_3,X0)|~spl0_79|~spl0_20|~spl0_0)),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f9495,f8978])).
% 172.27/22.05 fof(f9498,plain,(
% 172.27/22.05 minsol_model_ub(sk0_2,sk0_3,sk0_3)|~spl0_20|~spl0_0),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f287,f68])).
% 172.27/22.05 fof(f9499,plain,(
% 172.27/22.05 $false|~spl0_79|~spl0_20|~spl0_0),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f9498,f9496])).
% 172.27/22.05 fof(f9500,plain,(
% 172.27/22.05 ~spl0_79|~spl0_20|~spl0_0),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f9499])).
% 172.27/22.05 fof(f9540,plain,(
% 172.27/22.05 ![X0]: (sk0_4=sk0_4|~ub(X0,sk0_4,sk0_4)|~spl0_0)),
% 172.27/22.05 inference(resolution,[status(thm)],[f8772,f718])).
% 172.27/22.05 fof(f9541,plain,(
% 172.27/22.05 spl0_2|spl0_3|~spl0_0),
% 172.27/22.05 inference(split_clause,[status(thm)],[f9540,f123,f126,f67])).
% 172.27/22.05 fof(f9590,plain,(
% 172.27/22.05 spl0_83 <=> model_max(sk0_2,sk0_3,sk0_4)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f9592,plain,(
% 172.27/22.05 ~model_max(sk0_2,sk0_3,sk0_4)|spl0_83),
% 172.27/22.05 inference(component_clause,[status(thm)],[f9590])).
% 172.27/22.05 fof(f9593,plain,(
% 172.27/22.05 spl0_84 <=> sk0_0(sk0_4,sk0_3,sk0_2)=max(sk0_2,sk0_3)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f9594,plain,(
% 172.27/22.05 sk0_0(sk0_4,sk0_3,sk0_2)=max(sk0_2,sk0_3)|~spl0_84),
% 172.27/22.05 inference(component_clause,[status(thm)],[f9593])).
% 172.27/22.05 fof(f9596,plain,(
% 172.27/22.05 ~model_max(sk0_2,sk0_3,sk0_4)|sk0_0(sk0_4,sk0_3,sk0_2)=max(sk0_2,sk0_3)|spl0_1),
% 172.27/22.05 inference(resolution,[status(thm)],[f72,f1524])).
% 172.27/22.05 fof(f9597,plain,(
% 172.27/22.05 ~spl0_83|spl0_84|spl0_1),
% 172.27/22.05 inference(split_clause,[status(thm)],[f9596,f9590,f9593,f70])).
% 172.27/22.05 fof(f9599,plain,(
% 172.27/22.05 ub(sk0_2,sk0_3,sk0_3)|spl0_65),
% 172.27/22.05 inference(resolution,[status(thm)],[f2875,f828])).
% 172.27/22.05 fof(f9600,plain,(
% 172.27/22.05 max(sk0_3,sk0_2)=sk0_3|spl0_65),
% 172.27/22.05 inference(resolution,[status(thm)],[f2875,f816])).
% 172.27/22.05 fof(f9601,plain,(
% 172.27/22.05 spl0_10|spl0_65),
% 172.27/22.05 inference(split_clause,[status(thm)],[f9600,f171,f2873])).
% 172.27/22.05 fof(f9602,plain,(
% 172.27/22.05 max(sk0_2,sk0_3)=sk0_3|spl0_65),
% 172.27/22.05 inference(resolution,[status(thm)],[f2875,f815])).
% 172.27/22.05 fof(f9613,plain,(
% 172.27/22.05 ![X0]: (~ub(X0,sk0_2,sk0_2)|~spl0_65|~spl0_0|~spl0_55|~spl0_11|~spl0_79)),
% 172.27/22.05 inference(backward_demodulation,[status(thm)],[f9326,f9285])).
% 172.27/22.05 fof(f9614,plain,(
% 172.27/22.05 spl0_40|~spl0_65|~spl0_0|~spl0_55|~spl0_11|~spl0_79),
% 172.27/22.05 inference(split_clause,[status(thm)],[f9613,f2117,f2873,f67,f2342,f174,f8783])).
% 172.27/22.05 fof(f9629,plain,(
% 172.27/22.05 model_max(sk0_2,sk0_3,sk0_2)|~spl0_65|~spl0_4),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f9369,f7660])).
% 172.27/22.05 fof(f9645,plain,(
% 172.27/22.05 ~model_max(sk0_2,sk0_3,sk0_2)|~spl0_65|~spl0_4|spl0_83),
% 172.27/22.05 inference(backward_demodulation,[status(thm)],[f9369,f9592])).
% 172.27/22.05 fof(f9646,plain,(
% 172.27/22.05 $false|~spl0_65|~spl0_4|spl0_83),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f9645,f9629])).
% 172.27/22.05 fof(f9647,plain,(
% 172.27/22.05 ~spl0_65|~spl0_4|spl0_83),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f9646])).
% 172.27/22.05 fof(f9721,plain,(
% 172.27/22.05 ~ub(sk0_2,sk0_2,sk0_2)|~spl0_20|~spl0_11|spl0_65),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f8803,f2875])).
% 172.27/22.05 fof(f9722,plain,(
% 172.27/22.05 $false|~spl0_20|~spl0_11|spl0_65),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f9721,f820])).
% 172.27/22.05 fof(f9723,plain,(
% 172.27/22.05 ~spl0_20|~spl0_11|spl0_65),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f9722])).
% 172.27/22.05 fof(f9724,plain,(
% 172.27/22.05 ~ub(sk0_2,sk0_2,sk0_2)|~spl0_21|spl0_65),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f292,f2875])).
% 172.27/22.05 fof(f9725,plain,(
% 172.27/22.05 $false|~spl0_21|spl0_65),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f9724,f820])).
% 172.27/22.05 fof(f9726,plain,(
% 172.27/22.05 ~spl0_21|spl0_65),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f9725])).
% 172.27/22.05 fof(f9862,plain,(
% 172.27/22.05 max(sk0_3,sk0_2)=sk0_3|spl0_65),
% 172.27/22.05 inference(resolution,[status(thm)],[f9599,f78])).
% 172.27/22.05 fof(f10294,plain,(
% 172.27/22.05 spl0_90 <=> lesseq(sk0_0(sk0_3,sk0_3,sk0_2),sk0_0(sk0_3,sk0_3,sk0_2))),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f10296,plain,(
% 172.27/22.05 ~lesseq(sk0_0(sk0_3,sk0_3,sk0_2),sk0_0(sk0_3,sk0_3,sk0_2))|spl0_90),
% 172.27/22.05 inference(component_clause,[status(thm)],[f10294])).
% 172.27/22.05 fof(f10301,plain,(
% 172.27/22.05 $false|spl0_90),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f10296,f16])).
% 172.27/22.05 fof(f10302,plain,(
% 172.27/22.05 spl0_90),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f10301])).
% 172.27/22.05 fof(f10305,plain,(
% 172.27/22.05 max(sk0_3,sk0_2)=sk0_2|spl0_50),
% 172.27/22.05 inference(resolution,[status(thm)],[f2286,f703])).
% 172.27/22.05 fof(f10306,plain,(
% 172.27/22.05 sk0_3=sk0_2|spl0_65|spl0_50),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f9862,f10305])).
% 172.27/22.05 fof(f10307,plain,(
% 172.27/22.05 $false|spl0_21|spl0_65|spl0_50),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f10306,f293])).
% 172.27/22.05 fof(f10308,plain,(
% 172.27/22.05 spl0_21|spl0_65|spl0_50),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f10307])).
% 172.27/22.05 fof(f10333,plain,(
% 172.27/22.05 $false|~spl0_40|~spl0_65),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f2874,f2118])).
% 172.27/22.05 fof(f10334,plain,(
% 172.27/22.05 ~spl0_40|~spl0_65),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f10333])).
% 172.27/22.05 fof(f10375,plain,(
% 172.27/22.05 spl0_91 <=> sk0_0(sk0_3,sk0_3,sk0_2)=max(sk0_2,sk0_3)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f10376,plain,(
% 172.27/22.05 sk0_0(sk0_3,sk0_3,sk0_2)=max(sk0_2,sk0_3)|~spl0_91),
% 172.27/22.05 inference(component_clause,[status(thm)],[f10375])).
% 172.27/22.05 fof(f10378,plain,(
% 172.27/22.05 ~model_max(sk0_2,sk0_3,sk0_3)|sk0_0(sk0_3,sk0_3,sk0_2)=max(sk0_2,sk0_3)|spl0_49),
% 172.27/22.05 inference(resolution,[status(thm)],[f2283,f1524])).
% 172.27/22.05 fof(f10379,plain,(
% 172.27/22.05 ~spl0_50|spl0_91|spl0_49),
% 172.27/22.05 inference(split_clause,[status(thm)],[f10378,f2284,f10375,f2281])).
% 172.27/22.05 fof(f10380,plain,(
% 172.27/22.05 sk0_0(sk0_3,sk0_3,sk0_2)=sk0_3|spl0_65|~spl0_91),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f9602,f10376])).
% 172.27/22.05 fof(f10381,plain,(
% 172.27/22.05 $false|spl0_45|spl0_65|~spl0_91),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f10380,f2254])).
% 172.27/22.05 fof(f10382,plain,(
% 172.27/22.05 spl0_45|spl0_65|~spl0_91),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f10381])).
% 172.27/22.05 fof(f10386,plain,(
% 172.27/22.05 sk0_0(sk0_4,sk0_3,sk0_2)=sk0_2|~spl0_65|~spl0_84),
% 172.27/22.05 inference(backward_demodulation,[status(thm)],[f7552,f9594])).
% 172.27/22.05 fof(f10391,plain,(
% 172.27/22.05 ~max(sk0_3,sk0_2)=sk0_3|~spl0_65|spl0_55),
% 172.27/22.05 inference(backward_demodulation,[status(thm)],[f7552,f2344])).
% 172.27/22.05 fof(f10619,plain,(
% 172.27/22.05 ~sk0_2=sk0_3|~spl0_65|spl0_55),
% 172.27/22.05 inference(forward_demodulation,[status(thm)],[f7550,f10391])).
% 172.27/22.05 fof(f10620,plain,(
% 172.27/22.05 ~spl0_21|~spl0_65|spl0_55),
% 172.27/22.05 inference(split_clause,[status(thm)],[f10619,f291,f2873,f2342])).
% 172.27/22.05 fof(f12269,plain,(
% 172.27/22.05 sk0_3=sk0_2|max(sk0_2,sk0_3)=sk0_2|~spl0_65),
% 172.27/22.05 inference(paramodulation,[status(thm)],[f88,f7550])).
% 172.27/22.05 fof(f12270,plain,(
% 172.27/22.05 spl0_21|spl0_13|~spl0_65),
% 172.27/22.05 inference(split_clause,[status(thm)],[f12269,f291,f186,f2873])).
% 172.27/22.05 fof(f12491,plain,(
% 172.27/22.05 ![X0,X1]: (minsol_model_ub(X0,X1,X1)|~model_ub(X0,X1,X1)|minsol_model_ub(X0,X1,X1)|~model_ub(X0,X1,X1))),
% 172.27/22.05 inference(resolution,[status(thm)],[f1561,f1545])).
% 172.27/22.05 fof(f12492,plain,(
% 172.27/22.05 ![X0,X1]: (minsol_model_ub(X0,X1,X1)|~model_ub(X0,X1,X1))),
% 172.27/22.05 inference(duplicate_literals_removal,[status(esa)],[f12491])).
% 172.27/22.05 fof(f12496,plain,(
% 172.27/22.05 ![X0,X1]: (minsol_model_ub(X0,X1,X0)|~model_ub(X0,X1,X0)|minsol_model_ub(X0,X1,X0)|~model_ub(X0,X1,X0))),
% 172.27/22.05 inference(resolution,[status(thm)],[f1562,f1545])).
% 172.27/22.05 fof(f12497,plain,(
% 172.27/22.05 ![X0,X1]: (minsol_model_ub(X0,X1,X0)|~model_ub(X0,X1,X0))),
% 172.27/22.05 inference(duplicate_literals_removal,[status(esa)],[f12496])).
% 172.27/22.05 fof(f12756,plain,(
% 172.27/22.05 ![X0]: (minsol_model_max(sk0_2,sk0_3,sk0_4)|~model_max(sk0_2,sk0_3,sk0_4)|~ub(sk0_4,X0,sk0_2)|~spl0_65|~spl0_84)),
% 172.27/22.05 inference(paramodulation,[status(thm)],[f10386,f1541])).
% 172.27/22.05 fof(f12757,plain,(
% 172.27/22.05 spl0_1|~spl0_83|spl0_77|~spl0_65|~spl0_84),
% 172.27/22.05 inference(split_clause,[status(thm)],[f12756,f70,f9590,f8773,f2873,f9593])).
% 172.27/22.05 fof(f12944,plain,(
% 172.27/22.05 ub(sk0_4,sk0_2,sk0_2)|~spl0_0|~spl0_65),
% 172.27/22.05 inference(resolution,[status(thm)],[f7556,f7540])).
% 172.27/22.05 fof(f12945,plain,(
% 172.27/22.05 $false|~spl0_77|~spl0_0|~spl0_65),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f12944,f8774])).
% 172.27/22.05 fof(f12946,plain,(
% 172.27/22.05 ~spl0_77|~spl0_0|~spl0_65),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f12945])).
% 172.27/22.05 fof(f14298,plain,(
% 172.27/22.05 ~model_ub(sk0_2,sk0_3,sk0_2)|~spl0_11|spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f12497,f9294])).
% 172.27/22.05 fof(f14356,plain,(
% 172.27/22.05 ~ub(sk0_2,sk0_3,sk0_2)|~spl0_11|spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f14298,f45])).
% 172.27/22.05 fof(f14357,plain,(
% 172.27/22.05 $false|~spl0_65|~spl0_11|spl0_0),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f14356,f7540])).
% 172.27/22.05 fof(f14358,plain,(
% 172.27/22.05 ~spl0_65|~spl0_11|spl0_0),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f14357])).
% 172.27/22.05 fof(f14370,plain,(
% 172.27/22.05 spl0_190 <=> ub(sk0_4,sk0_3,sk0_3)),
% 172.27/22.05 introduced(split_symbol_definition)).
% 172.27/22.05 fof(f14371,plain,(
% 172.27/22.05 ub(sk0_4,sk0_3,sk0_3)|~spl0_190),
% 172.27/22.05 inference(component_clause,[status(thm)],[f14370])).
% 172.27/22.05 fof(f14379,plain,(
% 172.27/22.05 ub(sk0_4,sk0_3,sk0_3)|ub(sk0_3,sk0_2,sk0_2)|~spl0_0),
% 172.27/22.05 inference(resolution,[status(thm)],[f7556,f828])).
% 172.27/22.05 fof(f14380,plain,(
% 172.27/22.05 spl0_190|spl0_65|~spl0_0),
% 172.27/22.05 inference(split_clause,[status(thm)],[f14379,f14370,f2873,f67])).
% 172.27/22.05 fof(f14388,plain,(
% 172.27/22.05 $false|~spl0_78|~spl0_190),
% 172.27/22.05 inference(forward_subsumption_resolution,[status(thm)],[f14371,f8779])).
% 172.27/22.05 fof(f14389,plain,(
% 172.27/22.05 ~spl0_78|~spl0_190),
% 172.27/22.05 inference(contradiction_clause,[status(thm)],[f14388])).
% 172.27/22.05 fof(f14392,plain,(
% 172.27/22.08 sk0_3=sk0_4|~spl0_25|~spl0_4),
% 172.27/22.08 inference(forward_demodulation,[status(thm)],[f502,f132])).
% 172.27/22.08 fof(f14393,plain,(
% 172.27/22.08 ~minsol_model_ub(sk0_2,sk0_3,sk0_3)|~spl0_25|~spl0_4|spl0_0),
% 172.27/22.08 inference(forward_demodulation,[status(thm)],[f14392,f69])).
% 172.27/22.08 fof(f14475,plain,(
% 172.27/22.08 ~model_ub(sk0_2,sk0_3,sk0_3)|~spl0_25|~spl0_4|spl0_0),
% 172.27/22.08 inference(resolution,[status(thm)],[f14393,f12492])).
% 172.27/22.08 fof(f14476,plain,(
% 172.27/22.08 ~ub(sk0_2,sk0_3,sk0_3)|~spl0_25|~spl0_4|spl0_0),
% 172.27/22.08 inference(resolution,[status(thm)],[f14475,f45])).
% 172.27/22.08 fof(f14477,plain,(
% 172.27/22.08 $false|spl0_65|~spl0_25|~spl0_4|spl0_0),
% 172.27/22.08 inference(forward_subsumption_resolution,[status(thm)],[f14476,f9599])).
% 172.27/22.08 fof(f14478,plain,(
% 172.27/22.08 spl0_65|~spl0_25|~spl0_4|spl0_0),
% 172.27/22.08 inference(contradiction_clause,[status(thm)],[f14477])).
% 172.27/22.08 fof(f14610,plain,(
% 172.27/22.08 ~minsol_model_max(sk0_2,sk0_3,sk0_3)|~spl0_25|~spl0_4|spl0_1),
% 172.27/22.08 inference(forward_demodulation,[status(thm)],[f14392,f72])).
% 172.27/22.08 fof(f14611,plain,(
% 172.27/22.08 $false|~spl0_49|~spl0_25|~spl0_4|spl0_1),
% 172.27/22.08 inference(forward_subsumption_resolution,[status(thm)],[f14610,f2282])).
% 172.27/22.08 fof(f14612,plain,(
% 172.27/22.08 ~spl0_49|~spl0_25|~spl0_4|spl0_1),
% 172.27/22.08 inference(contradiction_clause,[status(thm)],[f14611])).
% 172.27/22.08 fof(f14613,plain,(
% 172.27/22.08 $false),
% 172.27/22.08 inference(sat_refutation,[status(thm)],[f73,f74,f178,f694,f2291,f2295,f6304,f7329,f7555,f7569,f7573,f8200,f8777,f8782,f8787,f8969,f9109,f9119,f9198,f9210,f9309,f9465,f9473,f9476,f9500,f9541,f9597,f9601,f9614,f9647,f9723,f9726,f10302,f10308,f10334,f10379,f10382,f10620,f12270,f12757,f12946,f14358,f14380,f14389,f14478,f14612])).
% 172.27/22.08 % SZS output end CNFRefutation for theBenchmark.p
% 172.89/22.11 % Elapsed time: 21.746542 seconds
% 172.89/22.11 % CPU time: 172.832701 seconds
% 172.89/22.11 % Total memory used: 363.811 MB
% 172.89/22.11 % Net memory used: 333.324 MB
%------------------------------------------------------------------------------