TSTP Solution File: CSR116+11 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR116+11 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 20:15:34 EDT 2024

% Result   : Theorem 12.84s 2.06s
% Output   : CNFRefutation 13.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR116+11 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n006.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 23:50:20 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.43  % Drodi V3.6.0
% 12.84/2.06  % Refutation found
% 12.84/2.06  % SZS status Theorem for theBenchmark: Theorem is valid
% 12.84/2.06  % SZS output start CNFRefutation for theBenchmark
% 12.84/2.06  fof(f1,axiom,(
% 12.84/2.06    (! [X0,X1] : member(X0,cons(X0,X1)) )),
% 12.84/2.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.84/2.06  fof(f2,axiom,(
% 12.84/2.06    (! [X0,X1,X2] :( member(X0,X2)=> member(X0,cons(X1,X2)) ) )),
% 12.84/2.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.84/2.06  fof(f159,axiom,(
% 12.84/2.06    (! [X0,X1,X2] :( ( attr(X2,X0)& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))& sub(X0,X1) )=> (? [X3] :( arg1(X3,X2)& arg2(X3,X2)& subs(X3,hei__337en_1_1) ) )) )),
% 12.84/2.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.84/2.06  fof(f161,axiom,(
% 12.84/2.06    (! [X0,X1,X2] :( ( arg1(X0,X1)& arg2(X0,X2)& subs(X0,hei__337en_1_1) )=> (? [X3,X4] :( arg1(X4,X1)& arg2(X4,X2)& hsit(X0,X3)& mcont(X3,X4)& obj(X3,X1)& subr(X4,rprs_0)& subs(X3,bezeichnen_1_1) ) )) )),
% 12.84/2.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.84/2.06  fof(f10188,conjecture,(
% 12.84/2.06    (? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :( pmod(X8,erst_1_1,pr__344sident_1_1)& arg1(X3,X0)& attr(X0,X1)& attr(X0,X2)& attr(X5,X6)& obj(X7,X0)& prop(X4,schwarz_1_1)& sub(X1,familiename_1_1)& sub(X2,eigenname_1_1)& sub(X4,X8)& subr(X3,rprs_0)& val(X1,mandela_0)& val(X2,nelson_0) ) )),
% 12.84/2.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.84/2.06  fof(f10189,negated_conjecture,(
% 12.84/2.06    ~((? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :( pmod(X8,erst_1_1,pr__344sident_1_1)& arg1(X3,X0)& attr(X0,X1)& attr(X0,X2)& attr(X5,X6)& obj(X7,X0)& prop(X4,schwarz_1_1)& sub(X1,familiename_1_1)& sub(X2,eigenname_1_1)& sub(X4,X8)& subr(X3,rprs_0)& val(X1,mandela_0)& val(X2,nelson_0) ) ))),
% 12.84/2.06    inference(negated_conjecture,[status(cth)],[f10188])).
% 12.84/2.06  fof(f10190,hypothesis,(
% 12.84/2.06    ( attr(c5,c6)& attr(c5,c7)& sub(c5,mensch_1_1)& sub(c6,eigenname_1_1)& val(c6,nelson_0)& sub(c7,familiename_1_1)& val(c7,mandela_0)& agt(c9,c5)& assoc(c9,c5)& obj(c9,c90)& subs(c9,stellen_1_4)& prop(c90,schwarz_1_1)& sub(c90,c92)& pmod(c92,erst_1_1,pr__344sident_1_1)& attch(c98,c90)& sub(c98,land_1_1)& sort(c5,d)& card(c5,int1)& etype(c5,int0)& fact(c5,real)& gener(c5,sp)& quant(c5,one)& refer(c5,det)& varia(c5,con)& sort(c6,na)& card(c6,int1)& etype(c6,int0)& fact(c6,real)& gener(c6,sp)& quant(c6,one)& refer(c6,indet)& varia(c6,varia_c)& sort(c7,na)& card(c7,int1)& etype(c7,int0)& fact(c7,real)& gener(c7,sp)& quant(c7,one)& refer(c7,indet)& varia(c7,varia_c)& sort(mensch_1_1,d)& card(mensch_1_1,int1)& etype(mensch_1_1,int0)& fact(mensch_1_1,real)& gener(mensch_1_1,ge)& quant(mensch_1_1,one)& refer(mensch_1_1,refer_c)& varia(mensch_1_1,varia_c)& sort(eigenname_1_1,na)& card(eigenname_1_1,int1)& etype(eigenname_1_1,int0)& fact(eigenname_1_1,real)& gener(eigenname_1_1,ge)& quant(eigenname_1_1,one)& refer(eigenname_1_1,refer_c)& varia(eigenname_1_1,varia_c)& sort(nelson_0,fe)& sort(familiename_1_1,na)& card(familiename_1_1,int1)& etype(familiename_1_1,int0)& fact(familiename_1_1,real)& gener(familiename_1_1,ge)& quant(familiename_1_1,one)& refer(familiename_1_1,refer_c)& varia(familiename_1_1,varia_c)& sort(mandela_0,fe)& sort(c9,da)& fact(c9,real)& gener(c9,sp)& sort(c90,d)& card(c90,int1)& etype(c90,int0)& fact(c90,real)& gener(c90,sp)& quant(c90,one)& refer(c90,det)& varia(c90,con)& sort(stellen_1_4,da)& fact(stellen_1_4,real)& gener(stellen_1_4,ge)& sort(schwarz_1_1,tq)& sort(c92,d)& card(c92,int1)& etype(c92,int0)& fact(c92,real)& gener(c92,ge)& quant(c92,one)& refer(c92,refer_c)& varia(c92,varia_c)& sort(erst_1_1,oq)& card(erst_1_1,int1)& sort(pr__344sident_1_1,d)& card(pr__344sident_1_1,int1)& etype(pr__344sident_1_1,int0)& fact(pr__344sident_1_1,real)& gener(pr__344sident_1_1,ge)& quant(pr__344sident_1_1,one)& refer(pr__344sident_1_1,refer_c)& varia(pr__344sident_1_1,varia_c)& sort(c98,d)& sort(c98,io)& card(c98,int1)& etype(c98,int0)& fact(c98,real)& gener(c98,sp)& quant(c98,one)& refer(c98,det)& varia(c98,con)& sort(land_1_1,d)& sort(land_1_1,io)& card(land_1_1,int1)& etype(land_1_1,int0)& fact(land_1_1,real)& gener(land_1_1,ge)& quant(land_1_1,one)& refer(land_1_1,refer_c)& varia(land_1_1,varia_c) ) ),
% 12.84/2.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.84/2.06  fof(f10191,plain,(
% 12.84/2.06    ![X0,X1]: (member(X0,cons(X0,X1)))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f1])).
% 12.84/2.06  fof(f10192,plain,(
% 12.84/2.06    ![X0,X1,X2]: (~member(X0,X2)|member(X0,cons(X1,X2)))),
% 12.84/2.06    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 12.84/2.06  fof(f10193,plain,(
% 12.84/2.06    ![X0,X2]: (~member(X0,X2)|(![X1]: member(X0,cons(X1,X2))))),
% 12.84/2.06    inference(miniscoping,[status(esa)],[f10192])).
% 12.84/2.06  fof(f10194,plain,(
% 12.84/2.06    ![X0,X1,X2]: (~member(X0,X1)|member(X0,cons(X2,X1)))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10193])).
% 12.84/2.06  fof(f10692,plain,(
% 12.84/2.06    ![X0,X1,X2]: (((~attr(X2,X0)|~member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))))|~sub(X0,X1))|(?[X3]: ((arg1(X3,X2)&arg2(X3,X2))&subs(X3,hei__337en_1_1))))),
% 12.84/2.06    inference(pre_NNF_transformation,[status(esa)],[f159])).
% 12.84/2.06  fof(f10693,plain,(
% 12.84/2.06    ![X2]: ((![X0,X1]: ((~attr(X2,X0)|~member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))))|~sub(X0,X1)))|(?[X3]: ((arg1(X3,X2)&arg2(X3,X2))&subs(X3,hei__337en_1_1))))),
% 12.84/2.06    inference(miniscoping,[status(esa)],[f10692])).
% 12.84/2.06  fof(f10694,plain,(
% 12.84/2.06    ![X2]: ((![X0,X1]: ((~attr(X2,X0)|~member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))))|~sub(X0,X1)))|((arg1(sk0_50(X2),X2)&arg2(sk0_50(X2),X2))&subs(sk0_50(X2),hei__337en_1_1)))),
% 12.84/2.06    inference(skolemization,[status(esa)],[f10693])).
% 12.84/2.06  fof(f10695,plain,(
% 12.84/2.06    ![X0,X1,X2]: (~attr(X0,X1)|~member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))|~sub(X1,X2)|arg1(sk0_50(X0),X0))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10694])).
% 12.84/2.06  fof(f10696,plain,(
% 12.84/2.06    ![X0,X1,X2]: (~attr(X0,X1)|~member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))|~sub(X1,X2)|arg2(sk0_50(X0),X0))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10694])).
% 12.84/2.06  fof(f10697,plain,(
% 12.84/2.06    ![X0,X1,X2]: (~attr(X0,X1)|~member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))|~sub(X1,X2)|subs(sk0_50(X0),hei__337en_1_1))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10694])).
% 12.84/2.06  fof(f10705,plain,(
% 12.84/2.06    ![X0,X1,X2]: (((~arg1(X0,X1)|~arg2(X0,X2))|~subs(X0,hei__337en_1_1))|(?[X3,X4]: ((((((arg1(X4,X1)&arg2(X4,X2))&hsit(X0,X3))&mcont(X3,X4))&obj(X3,X1))&subr(X4,rprs_0))&subs(X3,bezeichnen_1_1))))),
% 12.84/2.06    inference(pre_NNF_transformation,[status(esa)],[f161])).
% 12.84/2.06  fof(f10706,plain,(
% 12.84/2.06    ![X0,X1,X2]: (((~arg1(X0,X1)|~arg2(X0,X2))|~subs(X0,hei__337en_1_1))|(?[X3]: ((?[X4]: (((((arg1(X4,X1)&arg2(X4,X2))&hsit(X0,X3))&mcont(X3,X4))&obj(X3,X1))&subr(X4,rprs_0)))&subs(X3,bezeichnen_1_1))))),
% 12.84/2.06    inference(miniscoping,[status(esa)],[f10705])).
% 12.84/2.06  fof(f10707,plain,(
% 12.84/2.06    ![X0,X1,X2]: (((~arg1(X0,X1)|~arg2(X0,X2))|~subs(X0,hei__337en_1_1))|((((((arg1(sk0_53(X2,X1,X0),X1)&arg2(sk0_53(X2,X1,X0),X2))&hsit(X0,sk0_52(X2,X1,X0)))&mcont(sk0_52(X2,X1,X0),sk0_53(X2,X1,X0)))&obj(sk0_52(X2,X1,X0),X1))&subr(sk0_53(X2,X1,X0),rprs_0))&subs(sk0_52(X2,X1,X0),bezeichnen_1_1)))),
% 12.84/2.06    inference(skolemization,[status(esa)],[f10706])).
% 12.84/2.06  fof(f10708,plain,(
% 12.84/2.06    ![X0,X1,X2]: (~arg1(X0,X1)|~arg2(X0,X2)|~subs(X0,hei__337en_1_1)|arg1(sk0_53(X2,X1,X0),X1))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10707])).
% 12.84/2.06  fof(f10712,plain,(
% 12.84/2.06    ![X0,X1,X2]: (~arg1(X0,X1)|~arg2(X0,X2)|~subs(X0,hei__337en_1_1)|obj(sk0_52(X2,X1,X0),X1))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10707])).
% 12.84/2.06  fof(f10713,plain,(
% 12.84/2.06    ![X0,X1,X2]: (~arg1(X0,X1)|~arg2(X0,X2)|~subs(X0,hei__337en_1_1)|subr(sk0_53(X2,X1,X0),rprs_0))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10707])).
% 12.84/2.06  fof(f20815,plain,(
% 12.84/2.06    (![X0,X1,X2,X3,X4,X5,X6,X7,X8]: ((((((((((((~pmod(X8,erst_1_1,pr__344sident_1_1)|~arg1(X3,X0))|~attr(X0,X1))|~attr(X0,X2))|~attr(X5,X6))|~obj(X7,X0))|~prop(X4,schwarz_1_1))|~sub(X1,familiename_1_1))|~sub(X2,eigenname_1_1))|~sub(X4,X8))|~subr(X3,rprs_0))|~val(X1,mandela_0))|~val(X2,nelson_0)))),
% 12.84/2.06    inference(pre_NNF_transformation,[status(esa)],[f10189])).
% 12.84/2.06  fof(f20816,plain,(
% 12.84/2.06    ![X2]: ((![X1]: ((![X3]: ((![X4,X8]: (((((![X0]: (((((~pmod(X8,erst_1_1,pr__344sident_1_1)|~arg1(X3,X0))|~attr(X0,X1))|~attr(X0,X2))|(![X5,X6]: ~attr(X5,X6)))|(![X7]: ~obj(X7,X0))))|~prop(X4,schwarz_1_1))|~sub(X1,familiename_1_1))|~sub(X2,eigenname_1_1))|~sub(X4,X8)))|~subr(X3,rprs_0)))|~val(X1,mandela_0)))|~val(X2,nelson_0))),
% 12.84/2.06    inference(miniscoping,[status(esa)],[f20815])).
% 12.84/2.06  fof(f20817,plain,(
% 12.84/2.06    ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~pmod(X0,erst_1_1,pr__344sident_1_1)|~arg1(X1,X2)|~attr(X2,X3)|~attr(X2,X4)|~attr(X5,X6)|~obj(X7,X2)|~prop(X8,schwarz_1_1)|~sub(X3,familiename_1_1)|~sub(X4,eigenname_1_1)|~sub(X8,X0)|~subr(X1,rprs_0)|~val(X3,mandela_0)|~val(X4,nelson_0))),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f20816])).
% 12.84/2.06  fof(f20818,plain,(
% 12.84/2.06    attr(c5,c6)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20819,plain,(
% 12.84/2.06    attr(c5,c7)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20821,plain,(
% 12.84/2.06    sub(c6,eigenname_1_1)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20822,plain,(
% 12.84/2.06    val(c6,nelson_0)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20823,plain,(
% 12.84/2.06    sub(c7,familiename_1_1)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20824,plain,(
% 12.84/2.06    val(c7,mandela_0)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20829,plain,(
% 12.84/2.06    prop(c90,schwarz_1_1)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20830,plain,(
% 12.84/2.06    sub(c90,c92)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20831,plain,(
% 12.84/2.06    pmod(c92,erst_1_1,pr__344sident_1_1)),
% 12.84/2.06    inference(cnf_transformation,[status(esa)],[f10190])).
% 12.84/2.06  fof(f20953,plain,(
% 12.84/2.06    spl0_0 <=> ~pmod(X0,erst_1_1,pr__344sident_1_1)|~prop(X8,schwarz_1_1)|~sub(X8,X0)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f20954,plain,(
% 12.84/2.06    ![X0,X1]: (~pmod(X0,erst_1_1,pr__344sident_1_1)|~prop(X1,schwarz_1_1)|~sub(X1,X0)|~spl0_0)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f20953])).
% 12.84/2.06  fof(f20956,plain,(
% 12.84/2.06    spl0_1 <=> ~arg1(X1,X2)|~attr(X2,X3)|~attr(X2,X4)|~obj(X7,X2)|~sub(X3,familiename_1_1)|~sub(X4,eigenname_1_1)|~subr(X1,rprs_0)|~val(X3,mandela_0)|~val(X4,nelson_0)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f20957,plain,(
% 12.84/2.06    ![X0,X1,X2,X3,X4]: (~arg1(X0,X1)|~attr(X1,X2)|~attr(X1,X3)|~obj(X4,X1)|~sub(X2,familiename_1_1)|~sub(X3,eigenname_1_1)|~subr(X0,rprs_0)|~val(X2,mandela_0)|~val(X3,nelson_0)|~spl0_1)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f20956])).
% 12.84/2.06  fof(f20959,plain,(
% 12.84/2.06    spl0_2 <=> ~attr(X5,X6)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f20960,plain,(
% 12.84/2.06    ![X0,X1]: (~attr(X0,X1)|~spl0_2)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f20959])).
% 12.84/2.06  fof(f20962,plain,(
% 12.84/2.06    spl0_0|spl0_1|spl0_2),
% 12.84/2.06    inference(split_clause,[status(thm)],[f20817,f20953,f20956,f20959])).
% 12.84/2.06  fof(f20966,plain,(
% 12.84/2.06    ![X0,X1,X2]: (member(X0,cons(X1,cons(X0,X2))))),
% 12.84/2.06    inference(resolution,[status(thm)],[f10194,f10191])).
% 12.84/2.06  fof(f20967,plain,(
% 12.84/2.06    $false|~spl0_2),
% 12.84/2.06    inference(backward_subsumption_resolution,[status(thm)],[f20819,f20960])).
% 12.84/2.06  fof(f20968,plain,(
% 12.84/2.06    ~spl0_2),
% 12.84/2.06    inference(contradiction_clause,[status(thm)],[f20967])).
% 12.84/2.06  fof(f20969,plain,(
% 12.84/2.06    ![X0]: (~prop(X0,schwarz_1_1)|~sub(X0,c92)|~spl0_0)),
% 12.84/2.06    inference(resolution,[status(thm)],[f20954,f20831])).
% 12.84/2.06  fof(f20970,plain,(
% 12.84/2.06    ~sub(c90,c92)|~spl0_0),
% 12.84/2.06    inference(resolution,[status(thm)],[f20969,f20829])).
% 12.84/2.06  fof(f20973,plain,(
% 12.84/2.06    $false|~spl0_0),
% 12.84/2.06    inference(forward_subsumption_resolution,[status(thm)],[f20830,f20970])).
% 12.84/2.06  fof(f20974,plain,(
% 12.84/2.06    ~spl0_0),
% 12.84/2.06    inference(contradiction_clause,[status(thm)],[f20973])).
% 12.84/2.06  fof(f21098,plain,(
% 12.84/2.06    spl0_3 <=> ~attr(c5,X0)|~sub(X0,familiename_1_1)|~val(X0,mandela_0)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21099,plain,(
% 12.84/2.06    ![X0]: (~attr(c5,X0)|~sub(X0,familiename_1_1)|~val(X0,mandela_0)|~spl0_3)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21098])).
% 12.84/2.06  fof(f21101,plain,(
% 12.84/2.06    spl0_4 <=> ~attr(c5,X1)|~sub(X1,eigenname_1_1)|~val(X1,nelson_0)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21102,plain,(
% 12.84/2.06    ![X0]: (~attr(c5,X0)|~sub(X0,eigenname_1_1)|~val(X0,nelson_0)|~spl0_4)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21101])).
% 12.84/2.06  fof(f21104,plain,(
% 12.84/2.06    spl0_5 <=> ~obj(X2,c5)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21105,plain,(
% 12.84/2.06    ![X0]: (~obj(X0,c5)|~spl0_5)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21104])).
% 12.84/2.06  fof(f21186,plain,(
% 12.84/2.06    spl0_19 <=> arg1(sk0_50(c5),c5)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21187,plain,(
% 12.84/2.06    arg1(sk0_50(c5),c5)|~spl0_19),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21186])).
% 12.84/2.06  fof(f21191,plain,(
% 12.84/2.06    spl0_20 <=> ~member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))|~sub(c7,X0)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21192,plain,(
% 12.84/2.06    ![X0]: (~member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))|~sub(c7,X0)|~spl0_20)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21191])).
% 12.84/2.06  fof(f21194,plain,(
% 12.84/2.06    ![X0]: (~member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))|~sub(c7,X0)|arg1(sk0_50(c5),c5))),
% 12.84/2.06    inference(resolution,[status(thm)],[f10695,f20819])).
% 12.84/2.06  fof(f21195,plain,(
% 12.84/2.06    spl0_20|spl0_19),
% 12.84/2.06    inference(split_clause,[status(thm)],[f21194,f21191,f21186])).
% 12.84/2.06  fof(f21214,plain,(
% 12.84/2.06    spl0_25 <=> ~arg2(sk0_50(c5),X0)|obj(sk0_52(X0,c5,sk0_50(c5)),c5)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21215,plain,(
% 12.84/2.06    ![X0]: (~arg2(sk0_50(c5),X0)|obj(sk0_52(X0,c5,sk0_50(c5)),c5)|~spl0_25)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21214])).
% 12.84/2.06  fof(f21217,plain,(
% 12.84/2.06    spl0_26 <=> subs(sk0_50(c5),hei__337en_1_1)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21220,plain,(
% 12.84/2.06    ![X0]: (~arg2(sk0_50(c5),X0)|~subs(sk0_50(c5),hei__337en_1_1)|obj(sk0_52(X0,c5,sk0_50(c5)),c5)|~spl0_19)),
% 12.84/2.06    inference(resolution,[status(thm)],[f21187,f10712])).
% 12.84/2.06  fof(f21221,plain,(
% 12.84/2.06    spl0_25|~spl0_26|~spl0_19),
% 12.84/2.06    inference(split_clause,[status(thm)],[f21220,f21214,f21217,f21186])).
% 12.84/2.06  fof(f21222,plain,(
% 12.84/2.06    spl0_27 <=> ~arg2(sk0_50(c5),X0)|arg1(sk0_53(X0,c5,sk0_50(c5)),c5)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21223,plain,(
% 12.84/2.06    ![X0]: (~arg2(sk0_50(c5),X0)|arg1(sk0_53(X0,c5,sk0_50(c5)),c5)|~spl0_27)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21222])).
% 12.84/2.06  fof(f21225,plain,(
% 12.84/2.06    ![X0]: (~arg2(sk0_50(c5),X0)|~subs(sk0_50(c5),hei__337en_1_1)|arg1(sk0_53(X0,c5,sk0_50(c5)),c5)|~spl0_19)),
% 12.84/2.06    inference(resolution,[status(thm)],[f21187,f10708])).
% 12.84/2.06  fof(f21226,plain,(
% 12.84/2.06    spl0_27|~spl0_26|~spl0_19),
% 12.84/2.06    inference(split_clause,[status(thm)],[f21225,f21222,f21217,f21186])).
% 12.84/2.06  fof(f21237,plain,(
% 12.84/2.06    spl0_30 <=> ~arg2(sk0_50(c5),X0)|subr(sk0_53(X0,c5,sk0_50(c5)),rprs_0)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21238,plain,(
% 12.84/2.06    ![X0]: (~arg2(sk0_50(c5),X0)|subr(sk0_53(X0,c5,sk0_50(c5)),rprs_0)|~spl0_30)),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21237])).
% 12.84/2.06  fof(f21240,plain,(
% 12.84/2.06    ![X0]: (~arg2(sk0_50(c5),X0)|~subs(sk0_50(c5),hei__337en_1_1)|subr(sk0_53(X0,c5,sk0_50(c5)),rprs_0)|~spl0_19)),
% 12.84/2.06    inference(resolution,[status(thm)],[f21187,f10713])).
% 12.84/2.06  fof(f21241,plain,(
% 12.84/2.06    spl0_30|~spl0_26|~spl0_19),
% 12.84/2.06    inference(split_clause,[status(thm)],[f21240,f21237,f21217,f21186])).
% 12.84/2.06  fof(f21244,plain,(
% 12.84/2.06    spl0_31 <=> arg2(sk0_50(c5),c5)),
% 12.84/2.06    introduced(split_symbol_definition)).
% 12.84/2.06  fof(f21245,plain,(
% 12.84/2.06    arg2(sk0_50(c5),c5)|~spl0_31),
% 12.84/2.06    inference(component_clause,[status(thm)],[f21244])).
% 12.84/2.06  fof(f21249,plain,(
% 12.84/2.06    ![X0]: (~member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))|~sub(c7,X0)|arg2(sk0_50(c5),c5))),
% 12.84/2.06    inference(resolution,[status(thm)],[f10696,f20819])).
% 12.84/2.06  fof(f21250,plain,(
% 12.84/2.06    spl0_20|spl0_31),
% 12.84/2.06    inference(split_clause,[status(thm)],[f21249,f21191,f21244])).
% 12.84/2.06  fof(f21252,plain,(
% 12.84/2.06    ~sub(c7,familiename_1_1)|~spl0_20),
% 12.84/2.06    inference(resolution,[status(thm)],[f21192,f20966])).
% 12.84/2.06  fof(f21253,plain,(
% 12.84/2.06    $false|~spl0_20),
% 12.84/2.06    inference(forward_subsumption_resolution,[status(thm)],[f21252,f20823])).
% 12.84/2.06  fof(f21254,plain,(
% 12.84/2.06    ~spl0_20),
% 12.84/2.06    inference(contradiction_clause,[status(thm)],[f21253])).
% 12.84/2.06  fof(f21319,plain,(
% 12.84/2.06    ![X0]: (~member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))|~sub(c7,X0)|subs(sk0_50(c5),hei__337en_1_1))),
% 12.84/2.06    inference(resolution,[status(thm)],[f10697,f20819])).
% 12.84/2.06  fof(f21320,plain,(
% 12.84/2.06    spl0_20|spl0_26),
% 12.84/2.06    inference(split_clause,[status(thm)],[f21319,f21191,f21217])).
% 12.84/2.06  fof(f21321,plain,(
% 12.84/2.06    obj(sk0_52(c5,c5,sk0_50(c5)),c5)|~spl0_25|~spl0_31),
% 12.84/2.06    inference(resolution,[status(thm)],[f21215,f21245])).
% 12.84/2.06  fof(f21322,plain,(
% 12.84/2.06    arg1(sk0_53(c5,c5,sk0_50(c5)),c5)|~spl0_27|~spl0_31),
% 12.84/2.06    inference(resolution,[status(thm)],[f21223,f21245])).
% 12.84/2.06  fof(f21323,plain,(
% 12.84/2.06    subr(sk0_53(c5,c5,sk0_50(c5)),rprs_0)|~spl0_30|~spl0_31),
% 12.84/2.06    inference(resolution,[status(thm)],[f21238,f21245])).
% 13.43/2.13  fof(f21388,plain,(
% 13.43/2.13    spl0_51 <=> subr(sk0_53(c5,c5,sk0_50(c5)),rprs_0)),
% 13.43/2.13    introduced(split_symbol_definition)).
% 13.43/2.13  fof(f21390,plain,(
% 13.43/2.13    ~subr(sk0_53(c5,c5,sk0_50(c5)),rprs_0)|spl0_51),
% 13.43/2.13    inference(component_clause,[status(thm)],[f21388])).
% 13.43/2.13  fof(f21424,plain,(
% 13.43/2.13    ![X0,X1,X2]: (~attr(c5,X0)|~attr(c5,X1)|~obj(X2,c5)|~sub(X0,familiename_1_1)|~sub(X1,eigenname_1_1)|~subr(sk0_53(c5,c5,sk0_50(c5)),rprs_0)|~val(X0,mandela_0)|~val(X1,nelson_0)|~spl0_27|~spl0_31|~spl0_1)),
% 13.43/2.13    inference(resolution,[status(thm)],[f21322,f20957])).
% 13.43/2.13  fof(f21425,plain,(
% 13.43/2.13    spl0_3|spl0_4|spl0_5|~spl0_51|~spl0_27|~spl0_31|~spl0_1),
% 13.43/2.13    inference(split_clause,[status(thm)],[f21424,f21098,f21101,f21104,f21388,f21222,f21244,f20956])).
% 13.43/2.13  fof(f21436,plain,(
% 13.43/2.13    $false|~spl0_30|~spl0_31|spl0_51),
% 13.43/2.13    inference(forward_subsumption_resolution,[status(thm)],[f21390,f21323])).
% 13.43/2.13  fof(f21437,plain,(
% 13.43/2.13    ~spl0_30|~spl0_31|spl0_51),
% 13.43/2.13    inference(contradiction_clause,[status(thm)],[f21436])).
% 13.43/2.13  fof(f21440,plain,(
% 13.43/2.13    $false|~spl0_5|~spl0_25|~spl0_31),
% 13.43/2.13    inference(backward_subsumption_resolution,[status(thm)],[f21321,f21105])).
% 13.43/2.13  fof(f21441,plain,(
% 13.43/2.13    ~spl0_5|~spl0_25|~spl0_31),
% 13.43/2.13    inference(contradiction_clause,[status(thm)],[f21440])).
% 13.43/2.13  fof(f21442,plain,(
% 13.43/2.13    spl0_61 <=> attr(c5,c7)),
% 13.43/2.13    introduced(split_symbol_definition)).
% 13.43/2.13  fof(f21444,plain,(
% 13.43/2.13    ~attr(c5,c7)|spl0_61),
% 13.43/2.13    inference(component_clause,[status(thm)],[f21442])).
% 13.43/2.13  fof(f21445,plain,(
% 13.43/2.13    spl0_62 <=> sub(c7,familiename_1_1)),
% 13.43/2.13    introduced(split_symbol_definition)).
% 13.43/2.13  fof(f21447,plain,(
% 13.43/2.13    ~sub(c7,familiename_1_1)|spl0_62),
% 13.43/2.13    inference(component_clause,[status(thm)],[f21445])).
% 13.43/2.13  fof(f21448,plain,(
% 13.43/2.13    ~attr(c5,c7)|~sub(c7,familiename_1_1)|~spl0_3),
% 13.43/2.13    inference(resolution,[status(thm)],[f21099,f20824])).
% 13.43/2.13  fof(f21449,plain,(
% 13.43/2.13    ~spl0_61|~spl0_62|~spl0_3),
% 13.43/2.13    inference(split_clause,[status(thm)],[f21448,f21442,f21445,f21098])).
% 13.43/2.13  fof(f21450,plain,(
% 13.43/2.13    $false|spl0_62),
% 13.43/2.13    inference(forward_subsumption_resolution,[status(thm)],[f21447,f20823])).
% 13.43/2.13  fof(f21451,plain,(
% 13.43/2.13    spl0_62),
% 13.43/2.13    inference(contradiction_clause,[status(thm)],[f21450])).
% 13.43/2.13  fof(f21452,plain,(
% 13.43/2.13    $false|spl0_61),
% 13.43/2.13    inference(forward_subsumption_resolution,[status(thm)],[f21444,f20819])).
% 13.43/2.13  fof(f21453,plain,(
% 13.43/2.13    spl0_61),
% 13.43/2.13    inference(contradiction_clause,[status(thm)],[f21452])).
% 13.43/2.13  fof(f21454,plain,(
% 13.43/2.13    spl0_63 <=> attr(c5,c6)),
% 13.43/2.13    introduced(split_symbol_definition)).
% 13.43/2.13  fof(f21456,plain,(
% 13.43/2.13    ~attr(c5,c6)|spl0_63),
% 13.43/2.13    inference(component_clause,[status(thm)],[f21454])).
% 13.43/2.13  fof(f21457,plain,(
% 13.43/2.13    spl0_64 <=> sub(c6,eigenname_1_1)),
% 13.43/2.13    introduced(split_symbol_definition)).
% 13.43/2.13  fof(f21459,plain,(
% 13.43/2.13    ~sub(c6,eigenname_1_1)|spl0_64),
% 13.43/2.13    inference(component_clause,[status(thm)],[f21457])).
% 13.43/2.13  fof(f21460,plain,(
% 13.43/2.13    ~attr(c5,c6)|~sub(c6,eigenname_1_1)|~spl0_4),
% 13.43/2.13    inference(resolution,[status(thm)],[f21102,f20822])).
% 13.43/2.13  fof(f21461,plain,(
% 13.43/2.13    ~spl0_63|~spl0_64|~spl0_4),
% 13.43/2.13    inference(split_clause,[status(thm)],[f21460,f21454,f21457,f21101])).
% 13.43/2.13  fof(f21462,plain,(
% 13.43/2.13    $false|spl0_63),
% 13.43/2.13    inference(forward_subsumption_resolution,[status(thm)],[f21456,f20818])).
% 13.43/2.13  fof(f21463,plain,(
% 13.43/2.13    spl0_63),
% 13.43/2.13    inference(contradiction_clause,[status(thm)],[f21462])).
% 13.43/2.13  fof(f21464,plain,(
% 13.43/2.13    $false|spl0_64),
% 13.43/2.13    inference(forward_subsumption_resolution,[status(thm)],[f21459,f20821])).
% 13.43/2.13  fof(f21465,plain,(
% 13.43/2.13    spl0_64),
% 13.43/2.13    inference(contradiction_clause,[status(thm)],[f21464])).
% 13.43/2.13  fof(f21466,plain,(
% 13.43/2.13    $false),
% 13.43/2.13    inference(sat_refutation,[status(thm)],[f20962,f20968,f20974,f21195,f21221,f21226,f21241,f21250,f21254,f21320,f21425,f21437,f21441,f21449,f21451,f21453,f21461,f21463,f21465])).
% 13.43/2.13  % SZS output end CNFRefutation for theBenchmark.p
% 13.43/2.15  % Elapsed time: 1.805326 seconds
% 13.43/2.15  % CPU time: 13.198574 seconds
% 13.43/2.15  % Total memory used: 445.625 MB
% 13.43/2.15  % Net memory used: 445.051 MB
%------------------------------------------------------------------------------