TSTP Solution File: CSR116+11 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR116+11 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 05:03:20 EDT 2024
% Result : Theorem 2.62s 0.87s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 19 unt; 0 def)
% Number of atoms : 898 ( 0 equ)
% Maximal formula atoms : 117 ( 9 avg)
% Number of connectives : 981 ( 175 ~; 148 |; 646 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 117 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 7 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 41 con; 0-3 aty)
% Number of variables : 195 ( 149 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22823,plain,
$false,
inference(avatar_sat_refutation,[],[f20974,f22193,f22683,f22812,f22813,f22817,f22821]) ).
fof(f22821,plain,
~ spl78_40,
inference(avatar_contradiction_clause,[],[f22819]) ).
fof(f22819,plain,
( $false
| ~ spl78_40 ),
inference(resolution,[],[f22673,f22701]) ).
fof(f22701,plain,
obj(sK38(c5),c5),
inference(resolution,[],[f22501,f10707]) ).
fof(f10707,plain,
attr(c5,c6),
inference(cnf_transformation,[],[f10347]) ).
fof(f10347,plain,
( fact(land_1_1,real)
& etype(land_1_1,int0)
& fact(c98,real)
& etype(c98,int0)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& fact(c92,real)
& etype(c92,int0)
& fact(stellen_1_4,real)
& fact(c90,real)
& etype(c90,int0)
& fact(c9,real)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& fact(c7,real)
& etype(c7,int0)
& fact(c6,real)
& etype(c6,int0)
& fact(c5,real)
& etype(c5,int0)
& sub(c98,land_1_1)
& attch(c98,c90)
& pmod(c92,erst_1_1,pr__344sident_1_1)
& sub(c90,c92)
& prop(c90,schwarz_1_1)
& subs(c9,stellen_1_4)
& obj(c9,c90)
& assoc(c9,c5)
& agt(c9,c5)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6) ),
inference(pure_predicate_removal,[],[f10340]) ).
fof(f10340,plain,
( gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& gener(c92,ge)
& fact(c92,real)
& etype(c92,int0)
& gener(stellen_1_4,ge)
& fact(stellen_1_4,real)
& gener(c90,sp)
& fact(c90,real)
& etype(c90,int0)
& gener(c9,sp)
& fact(c9,real)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& sub(c98,land_1_1)
& attch(c98,c90)
& pmod(c92,erst_1_1,pr__344sident_1_1)
& sub(c90,c92)
& prop(c90,schwarz_1_1)
& subs(c9,stellen_1_4)
& obj(c9,c90)
& assoc(c9,c5)
& agt(c9,c5)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6) ),
inference(pure_predicate_removal,[],[f10337]) ).
fof(f10337,plain,
( varia(land_1_1,varia_c)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& varia(c98,con)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& varia(pr__344sident_1_1,varia_c)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& varia(c92,varia_c)
& gener(c92,ge)
& fact(c92,real)
& etype(c92,int0)
& gener(stellen_1_4,ge)
& fact(stellen_1_4,real)
& varia(c90,con)
& gener(c90,sp)
& fact(c90,real)
& etype(c90,int0)
& gener(c9,sp)
& fact(c9,real)
& varia(familiename_1_1,varia_c)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& varia(eigenname_1_1,varia_c)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& varia(mensch_1_1,varia_c)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& varia(c7,varia_c)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& varia(c6,varia_c)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& varia(c5,con)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& sub(c98,land_1_1)
& attch(c98,c90)
& pmod(c92,erst_1_1,pr__344sident_1_1)
& sub(c90,c92)
& prop(c90,schwarz_1_1)
& subs(c9,stellen_1_4)
& obj(c9,c90)
& assoc(c9,c5)
& agt(c9,c5)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6) ),
inference(pure_predicate_removal,[],[f10332]) ).
fof(f10332,plain,
( varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& varia(c98,con)
& refer(c98,det)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& varia(c92,varia_c)
& refer(c92,refer_c)
& gener(c92,ge)
& fact(c92,real)
& etype(c92,int0)
& gener(stellen_1_4,ge)
& fact(stellen_1_4,real)
& varia(c90,con)
& refer(c90,det)
& gener(c90,sp)
& fact(c90,real)
& etype(c90,int0)
& gener(c9,sp)
& fact(c9,real)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& varia(c7,varia_c)
& refer(c7,indet)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& varia(c6,varia_c)
& refer(c6,indet)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& varia(c5,con)
& refer(c5,det)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& sub(c98,land_1_1)
& attch(c98,c90)
& pmod(c92,erst_1_1,pr__344sident_1_1)
& sub(c90,c92)
& prop(c90,schwarz_1_1)
& subs(c9,stellen_1_4)
& obj(c9,c90)
& assoc(c9,c5)
& agt(c9,c5)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6) ),
inference(pure_predicate_removal,[],[f10329]) ).
fof(f10329,plain,
( varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& varia(c98,con)
& refer(c98,det)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& card(c98,int1)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& card(erst_1_1,int1)
& varia(c92,varia_c)
& refer(c92,refer_c)
& gener(c92,ge)
& fact(c92,real)
& etype(c92,int0)
& card(c92,int1)
& gener(stellen_1_4,ge)
& fact(stellen_1_4,real)
& varia(c90,con)
& refer(c90,det)
& gener(c90,sp)
& fact(c90,real)
& etype(c90,int0)
& card(c90,int1)
& gener(c9,sp)
& fact(c9,real)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& varia(c7,varia_c)
& refer(c7,indet)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& varia(c6,varia_c)
& refer(c6,indet)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& varia(c5,con)
& refer(c5,det)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sub(c98,land_1_1)
& attch(c98,c90)
& pmod(c92,erst_1_1,pr__344sident_1_1)
& sub(c90,c92)
& prop(c90,schwarz_1_1)
& subs(c9,stellen_1_4)
& obj(c9,c90)
& assoc(c9,c5)
& agt(c9,c5)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6) ),
inference(pure_predicate_removal,[],[f10326]) ).
fof(f10326,plain,
( varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& varia(c98,con)
& refer(c98,det)
& quant(c98,one)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& card(c98,int1)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& quant(pr__344sident_1_1,one)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& card(erst_1_1,int1)
& varia(c92,varia_c)
& refer(c92,refer_c)
& quant(c92,one)
& gener(c92,ge)
& fact(c92,real)
& etype(c92,int0)
& card(c92,int1)
& gener(stellen_1_4,ge)
& fact(stellen_1_4,real)
& varia(c90,con)
& refer(c90,det)
& quant(c90,one)
& gener(c90,sp)
& fact(c90,real)
& etype(c90,int0)
& card(c90,int1)
& gener(c9,sp)
& fact(c9,real)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& varia(c7,varia_c)
& refer(c7,indet)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& varia(c6,varia_c)
& refer(c6,indet)
& quant(c6,one)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& varia(c5,con)
& refer(c5,det)
& quant(c5,one)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sub(c98,land_1_1)
& attch(c98,c90)
& pmod(c92,erst_1_1,pr__344sident_1_1)
& sub(c90,c92)
& prop(c90,schwarz_1_1)
& subs(c9,stellen_1_4)
& obj(c9,c90)
& assoc(c9,c5)
& agt(c9,c5)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6) ),
inference(pure_predicate_removal,[],[f10190]) ).
fof(f10190,axiom,
( varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c98,con)
& refer(c98,det)
& quant(c98,one)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& card(c98,int1)
& sort(c98,io)
& sort(c98,d)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& quant(pr__344sident_1_1,one)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& sort(pr__344sident_1_1,d)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c92,varia_c)
& refer(c92,refer_c)
& quant(c92,one)
& gener(c92,ge)
& fact(c92,real)
& etype(c92,int0)
& card(c92,int1)
& sort(c92,d)
& sort(schwarz_1_1,tq)
& gener(stellen_1_4,ge)
& fact(stellen_1_4,real)
& sort(stellen_1_4,da)
& varia(c90,con)
& refer(c90,det)
& quant(c90,one)
& gener(c90,sp)
& fact(c90,real)
& etype(c90,int0)
& card(c90,int1)
& sort(c90,d)
& gener(c9,sp)
& fact(c9,real)
& sort(c9,da)
& sort(mandela_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& sort(nelson_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c7,varia_c)
& refer(c7,indet)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,na)
& varia(c6,varia_c)
& refer(c6,indet)
& quant(c6,one)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& sort(c6,na)
& varia(c5,con)
& refer(c5,det)
& quant(c5,one)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sort(c5,d)
& sub(c98,land_1_1)
& attch(c98,c90)
& pmod(c92,erst_1_1,pr__344sident_1_1)
& sub(c90,c92)
& prop(c90,schwarz_1_1)
& subs(c9,stellen_1_4)
& obj(c9,c90)
& assoc(c9,c5)
& agt(c9,c5)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1668) ).
fof(f22501,plain,
! [X0] :
( ~ attr(X0,c6)
| obj(sK38(X0),X0) ),
inference(resolution,[],[f22419,f10710]) ).
fof(f10710,plain,
sub(c6,eigenname_1_1),
inference(cnf_transformation,[],[f10347]) ).
fof(f22419,plain,
! [X0,X1] :
( ~ sub(X0,eigenname_1_1)
| obj(sK38(X1),X1)
| ~ attr(X1,X0) ),
inference(resolution,[],[f20778,f20683]) ).
fof(f20683,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_first) ).
fof(f20778,plain,
! [X2,X0,X1] :
( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X0,X1)
| obj(sK38(X2),X2)
| ~ attr(X2,X0) ),
inference(cnf_transformation,[],[f10628]) ).
fof(f10628,plain,
! [X0,X1,X2] :
( ( subs(sK38(X2),stehen_1_b)
& scar(sK38(X2),X2)
& obj(sK38(X2),X2)
& mcont(sK38(X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f10416,f10627]) ).
fof(f10627,plain,
! [X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
=> ( subs(sK38(X2),stehen_1_b)
& scar(sK38(X2),X2)
& obj(sK38(X2),X2)
& mcont(sK38(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f10416,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(flattening,[],[f10415]) ).
fof(f10415,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).
fof(f22673,plain,
( ! [X0] : ~ obj(X0,c5)
| ~ spl78_40 ),
inference(avatar_component_clause,[],[f22672]) ).
fof(f22672,plain,
( spl78_40
<=> ! [X0] : ~ obj(X0,c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_40])]) ).
fof(f22817,plain,
~ spl78_39,
inference(avatar_contradiction_clause,[],[f22816]) ).
fof(f22816,plain,
( $false
| ~ spl78_39 ),
inference(subsumption_resolution,[],[f22815,f10713]) ).
fof(f10713,plain,
val(c7,mandela_0),
inference(cnf_transformation,[],[f10347]) ).
fof(f22815,plain,
( ~ val(c7,mandela_0)
| ~ spl78_39 ),
inference(subsumption_resolution,[],[f22814,f10708]) ).
fof(f10708,plain,
attr(c5,c7),
inference(cnf_transformation,[],[f10347]) ).
fof(f22814,plain,
( ~ attr(c5,c7)
| ~ val(c7,mandela_0)
| ~ spl78_39 ),
inference(resolution,[],[f22670,f10712]) ).
fof(f10712,plain,
sub(c7,familiename_1_1),
inference(cnf_transformation,[],[f10347]) ).
fof(f22670,plain,
( ! [X1] :
( ~ sub(X1,familiename_1_1)
| ~ attr(c5,X1)
| ~ val(X1,mandela_0) )
| ~ spl78_39 ),
inference(avatar_component_clause,[],[f22669]) ).
fof(f22669,plain,
( spl78_39
<=> ! [X1] :
( ~ attr(c5,X1)
| ~ sub(X1,familiename_1_1)
| ~ val(X1,mandela_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_39])]) ).
fof(f22813,plain,
( spl78_38
| spl78_39
| spl78_40
| ~ spl78_3 ),
inference(avatar_split_clause,[],[f22688,f20972,f22672,f22669,f22666]) ).
fof(f22666,plain,
( spl78_38
<=> ! [X2] :
( ~ subr(X2,rprs_0)
| ~ arg1(X2,c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_38])]) ).
fof(f20972,plain,
( spl78_3
<=> ! [X0,X7,X3,X2,X1] :
( ~ val(X2,nelson_0)
| ~ attr(X0,X1)
| ~ obj(X7,X0)
| ~ attr(X0,X2)
| ~ sub(X2,eigenname_1_1)
| ~ subr(X3,rprs_0)
| ~ arg1(X3,X0)
| ~ val(X1,mandela_0)
| ~ sub(X1,familiename_1_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_3])]) ).
fof(f22688,plain,
( ! [X2,X0,X1] :
( ~ obj(X0,c5)
| ~ attr(c5,X1)
| ~ subr(X2,rprs_0)
| ~ arg1(X2,c5)
| ~ val(X1,mandela_0)
| ~ sub(X1,familiename_1_1) )
| ~ spl78_3 ),
inference(resolution,[],[f22687,f10707]) ).
fof(f22687,plain,
( ! [X2,X3,X0,X1] :
( ~ attr(X0,c6)
| ~ obj(X2,X0)
| ~ attr(X0,X1)
| ~ subr(X3,rprs_0)
| ~ arg1(X3,X0)
| ~ val(X1,mandela_0)
| ~ sub(X1,familiename_1_1) )
| ~ spl78_3 ),
inference(subsumption_resolution,[],[f22686,f10711]) ).
fof(f10711,plain,
val(c6,nelson_0),
inference(cnf_transformation,[],[f10347]) ).
fof(f22686,plain,
( ! [X2,X3,X0,X1] :
( ~ attr(X0,X1)
| ~ obj(X2,X0)
| ~ attr(X0,c6)
| ~ val(c6,nelson_0)
| ~ subr(X3,rprs_0)
| ~ arg1(X3,X0)
| ~ val(X1,mandela_0)
| ~ sub(X1,familiename_1_1) )
| ~ spl78_3 ),
inference(resolution,[],[f20973,f10710]) ).
fof(f20973,plain,
( ! [X2,X3,X0,X1,X7] :
( ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X1)
| ~ obj(X7,X0)
| ~ attr(X0,X2)
| ~ val(X2,nelson_0)
| ~ subr(X3,rprs_0)
| ~ arg1(X3,X0)
| ~ val(X1,mandela_0)
| ~ sub(X1,familiename_1_1) )
| ~ spl78_3 ),
inference(avatar_component_clause,[],[f20972]) ).
fof(f22812,plain,
~ spl78_38,
inference(avatar_contradiction_clause,[],[f22811]) ).
fof(f22811,plain,
( $false
| ~ spl78_38 ),
inference(resolution,[],[f22810,f10709]) ).
fof(f10709,plain,
sub(c5,mensch_1_1),
inference(cnf_transformation,[],[f10347]) ).
fof(f22810,plain,
( ! [X0] : ~ sub(c5,X0)
| ~ spl78_38 ),
inference(resolution,[],[f22809,f22803]) ).
fof(f22803,plain,
! [X0,X1] :
( sP4(X0,X1,sK19(X1,X0))
| ~ sub(X1,X0) ),
inference(duplicate_literal_removal,[],[f22802]) ).
fof(f22802,plain,
! [X0,X1] :
( sP4(X0,X1,sK19(X1,X0))
| ~ sub(X1,X0)
| ~ sub(X1,X0) ),
inference(resolution,[],[f22663,f20700]) ).
fof(f20700,plain,
! [X0,X1] :
( arg1(sK19(X0,X1),X0)
| ~ sub(X0,X1) ),
inference(cnf_transformation,[],[f10590]) ).
fof(f10590,plain,
! [X0,X1] :
( ( subr(sK19(X0,X1),sub_0)
& arg2(sK19(X0,X1),X1)
& arg1(sK19(X0,X1),X0) )
| ~ sub(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f10357,f10589]) ).
fof(f10589,plain,
! [X0,X1] :
( ? [X2] :
( subr(X2,sub_0)
& arg2(X2,X1)
& arg1(X2,X0) )
=> ( subr(sK19(X0,X1),sub_0)
& arg2(sK19(X0,X1),X1)
& arg1(sK19(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f10357,plain,
! [X0,X1] :
( ? [X2] :
( subr(X2,sub_0)
& arg2(X2,X1)
& arg1(X2,X0) )
| ~ sub(X0,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,axiom,
! [X0,X1] :
( sub(X0,X1)
=> ? [X2] :
( subr(X2,sub_0)
& arg2(X2,X1)
& arg1(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sub__sub_0_expansion) ).
fof(f22663,plain,
! [X2,X0,X1] :
( ~ arg1(sK19(X2,X0),X1)
| sP4(X0,X1,sK19(X2,X0))
| ~ sub(X2,X0) ),
inference(duplicate_literal_removal,[],[f22662]) ).
fof(f22662,plain,
! [X2,X0,X1] :
( sP4(X0,X1,sK19(X2,X0))
| ~ arg1(sK19(X2,X0),X1)
| ~ sub(X2,X0)
| ~ sub(X2,X0) ),
inference(resolution,[],[f22367,f20701]) ).
fof(f20701,plain,
! [X0,X1] :
( arg2(sK19(X0,X1),X1)
| ~ sub(X0,X1) ),
inference(cnf_transformation,[],[f10590]) ).
fof(f22367,plain,
! [X2,X3,X0,X1] :
( ~ arg2(sK19(X2,X3),X0)
| sP4(X0,X1,sK19(X2,X3))
| ~ arg1(sK19(X2,X3),X1)
| ~ sub(X2,X3) ),
inference(resolution,[],[f20792,f20702]) ).
fof(f20702,plain,
! [X0,X1] :
( subr(sK19(X0,X1),sub_0)
| ~ sub(X0,X1) ),
inference(cnf_transformation,[],[f10590]) ).
fof(f20792,plain,
! [X2,X0,X1] :
( ~ subr(X0,sub_0)
| sP4(X2,X1,X0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[],[f10560]) ).
fof(f10560,plain,
! [X0,X1,X2] :
( sP4(X2,X1,X0)
| ~ subr(X0,sub_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(definition_folding,[],[f10420,f10559]) ).
fof(f10559,plain,
! [X2,X1,X0] :
( ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) )
| ~ sP4(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f10420,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) )
| ~ subr(X0,sub_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(flattening,[],[f10419]) ).
fof(f10419,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) )
| ~ subr(X0,sub_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,axiom,
! [X0,X1,X2] :
( ( subr(X0,sub_0)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sub__bezeichnen_1_1_als) ).
fof(f22809,plain,
( ! [X0,X1] : ~ sP4(X0,c5,X1)
| ~ spl78_38 ),
inference(duplicate_literal_removal,[],[f22808]) ).
fof(f22808,plain,
( ! [X0,X1] :
( ~ sP4(X0,c5,X1)
| ~ sP4(X0,c5,X1) )
| ~ spl78_38 ),
inference(resolution,[],[f22684,f20784]) ).
fof(f20784,plain,
! [X2,X0,X1] :
( arg1(sK41(X0,X1,X2),X1)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f10634]) ).
fof(f10634,plain,
! [X0,X1,X2] :
( ( subs(sK40(X0,X1,X2),bezeichnen_1_1)
& subr(sK41(X0,X1,X2),rprs_0)
& sub(sK42(X0,X1,X2),X0)
& obj(sK40(X0,X1,X2),X1)
& mcont(sK40(X0,X1,X2),sK41(X0,X1,X2))
& hsit(X2,sK40(X0,X1,X2))
& arg2(sK41(X0,X1,X2),sK42(X0,X1,X2))
& arg1(sK41(X0,X1,X2),X1) )
| ~ sP4(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42])],[f10632,f10633]) ).
fof(f10633,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X2,X3)
& arg2(X4,X5)
& arg1(X4,X1) )
=> ( subs(sK40(X0,X1,X2),bezeichnen_1_1)
& subr(sK41(X0,X1,X2),rprs_0)
& sub(sK42(X0,X1,X2),X0)
& obj(sK40(X0,X1,X2),X1)
& mcont(sK40(X0,X1,X2),sK41(X0,X1,X2))
& hsit(X2,sK40(X0,X1,X2))
& arg2(sK41(X0,X1,X2),sK42(X0,X1,X2))
& arg1(sK41(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f10632,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X2,X3)
& arg2(X4,X5)
& arg1(X4,X1) )
| ~ sP4(X0,X1,X2) ),
inference(rectify,[],[f10631]) ).
fof(f10631,plain,
! [X2,X1,X0] :
( ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) )
| ~ sP4(X2,X1,X0) ),
inference(nnf_transformation,[],[f10559]) ).
fof(f22684,plain,
( ! [X2,X0,X1] :
( ~ arg1(sK41(X0,X1,X2),c5)
| ~ sP4(X0,X1,X2) )
| ~ spl78_38 ),
inference(resolution,[],[f22667,f20790]) ).
fof(f20790,plain,
! [X2,X0,X1] :
( subr(sK41(X0,X1,X2),rprs_0)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f10634]) ).
fof(f22667,plain,
( ! [X2] :
( ~ subr(X2,rprs_0)
| ~ arg1(X2,c5) )
| ~ spl78_38 ),
inference(avatar_component_clause,[],[f22666]) ).
fof(f22683,plain,
~ spl78_1,
inference(avatar_contradiction_clause,[],[f22676]) ).
fof(f22676,plain,
( $false
| ~ spl78_1 ),
inference(resolution,[],[f20967,f10707]) ).
fof(f20967,plain,
( ! [X6,X5] : ~ attr(X5,X6)
| ~ spl78_1 ),
inference(avatar_component_clause,[],[f20966]) ).
fof(f20966,plain,
( spl78_1
<=> ! [X6,X5] : ~ attr(X5,X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_1])]) ).
fof(f22193,plain,
~ spl78_2,
inference(avatar_contradiction_clause,[],[f22192]) ).
fof(f22192,plain,
( $false
| ~ spl78_2 ),
inference(subsumption_resolution,[],[f22191,f10719]) ).
fof(f10719,plain,
sub(c90,c92),
inference(cnf_transformation,[],[f10347]) ).
fof(f22191,plain,
( ~ sub(c90,c92)
| ~ spl78_2 ),
inference(resolution,[],[f22188,f10718]) ).
fof(f10718,plain,
prop(c90,schwarz_1_1),
inference(cnf_transformation,[],[f10347]) ).
fof(f22188,plain,
( ! [X0] :
( ~ prop(X0,schwarz_1_1)
| ~ sub(X0,c92) )
| ~ spl78_2 ),
inference(resolution,[],[f20970,f10720]) ).
fof(f10720,plain,
pmod(c92,erst_1_1,pr__344sident_1_1),
inference(cnf_transformation,[],[f10347]) ).
fof(f20970,plain,
( ! [X8,X4] :
( ~ pmod(X8,erst_1_1,pr__344sident_1_1)
| ~ sub(X4,X8)
| ~ prop(X4,schwarz_1_1) )
| ~ spl78_2 ),
inference(avatar_component_clause,[],[f20969]) ).
fof(f20969,plain,
( spl78_2
<=> ! [X4,X8] :
( ~ sub(X4,X8)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1)
| ~ prop(X4,schwarz_1_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_2])]) ).
fof(f20974,plain,
( spl78_1
| spl78_2
| spl78_3 ),
inference(avatar_split_clause,[],[f10706,f20972,f20969,f20966]) ).
fof(f10706,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ prop(X4,schwarz_1_1)
| ~ obj(X7,X0)
| ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(cnf_transformation,[],[f10348]) ).
fof(f10348,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ prop(X4,schwarz_1_1)
| ~ obj(X7,X0)
| ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(ennf_transformation,[],[f10189]) ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(negated_conjecture,[],[f10188]) ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_010_mira_news_1668) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR116+11 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n015.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 : Fri May 3 20:18:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (11018)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.55 % (11019)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.55 % (11020)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.55 % (11021)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.19/0.55 % (11022)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.55 % (11023)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.55 % (11024)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.55 % (11025)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 1.48/0.70 TRYING [1]
% 1.48/0.73 TRYING [1]
% 1.48/0.74 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.48/0.74 Detected maximum model sizes of [max,max,4,1,2,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 1.48/0.74 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.48/0.76 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.48/0.76 Detected maximum model sizes of [max,max,4,1,2,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 1.48/0.76 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.92/0.81 TRYING [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.92/0.86 % (11024)First to succeed.
% 2.62/0.86 % (11024)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11018"
% 2.62/0.87 % (11024)Refutation found. Thanks to Tanya!
% 2.62/0.87 % SZS status Theorem for theBenchmark
% 2.62/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/0.87 % (11024)------------------------------
% 2.62/0.87 % (11024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.62/0.87 % (11024)Termination reason: Refutation
% 2.62/0.87
% 2.62/0.87 % (11024)Memory used [KB]: 13739
% 2.62/0.87 % (11024)Time elapsed: 0.315 s
% 2.62/0.87 % (11024)Instructions burned: 1060 (million)
% 2.62/0.87 % (11018)Success in time 0.502 s
%------------------------------------------------------------------------------