%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+40 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:07:55 AM UTC 2026
% Result : Theorem 1.94s 0.78s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 72 ( 23 unt; 0 def)
% Number of atoms : 547 ( 0 equ)
% Maximal formula atoms : 192 ( 7 avg)
% Number of connectives : 693 ( 218 ~; 202 |; 269 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 192 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-4 aty)
% Number of functors : 59 ( 59 usr; 54 con; 0-3 aty)
% Number of variables : 170 ( 13 sgn 74 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(member_second,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('theBenchmark.p',member_second) ).
fof(attr_name_hei__337en_1_1,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,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('theBenchmark.p',attr_name_hei__337en_1_1) ).
fof(hei__337en_1_1__bezeichnen_1_1_als,axiom,
! [X0,X1,X2] :
( ( subs(X0,hei__337en_1_1)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) ),
file('theBenchmark.p',hei__337en_1_1__bezeichnen_1_1_als) ).
fof(ave07_era5_synth_qa07_010_mn3_278,axiom,
( varia(artefakt_1_1,varia_c)
& refer(artefakt_1_1,refer_c)
& quant(artefakt_1_1,one)
& gener(artefakt_1_1,ge)
& fact(artefakt_1_1,real)
& etype(artefakt_1_1,int0)
& card(artefakt_1_1,int1)
& sort(artefakt_1_1,io)
& sort(artefakt_1_1,d)
& varia(leben_1_1,varia_c)
& refer(leben_1_1,refer_c)
& quant(leben_1_1,one)
& gener(leben_1_1,ge)
& fact(leben_1_1,real)
& etype(leben_1_1,int0)
& card(leben_1_1,int1)
& sort(leben_1_1,ad)
& varia(c485,varia_c)
& refer(c485,refer_c)
& quant(c485,quant_c)
& gener(c485,gener_c)
& fact(c485,real)
& etype(c485,etype_c)
& card(c485,card_c)
& sort(c485,ent)
& sort(s__374dafrika_0,fe)
& varia(name_1_1,varia_c)
& refer(name_1_1,refer_c)
& quant(name_1_1,one)
& gener(name_1_1,ge)
& fact(name_1_1,real)
& etype(name_1_1,int0)
& card(name_1_1,int1)
& sort(name_1_1,na)
& 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(c482,varia_c)
& refer(c482,indet)
& quant(c482,one)
& gener(c482,sp)
& fact(c482,real)
& etype(c482,int0)
& card(c482,int1)
& sort(c482,na)
& varia(c481,con)
& refer(c481,det)
& quant(c481,one)
& gener(c481,sp)
& fact(c481,real)
& etype(c481,int0)
& card(c481,int1)
& sort(c481,io)
& sort(c481,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(c476,varia_c)
& refer(c476,refer_c)
& quant(c476,one)
& gener(c476,ge)
& fact(c476,real)
& etype(c476,int0)
& card(c476,int1)
& sort(c476,d)
& sort(schwarz_1_1,tq)
& varia(c474,con)
& refer(c474,det)
& quant(c474,one)
& gener(c474,sp)
& fact(c474,real)
& etype(c474,int0)
& card(c474,int1)
& sort(c474,d)
& 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(c463,varia_c)
& refer(c463,indet)
& quant(c463,one)
& gener(c463,sp)
& fact(c463,real)
& etype(c463,int0)
& card(c463,int1)
& sort(c463,na)
& varia(c462,varia_c)
& refer(c462,indet)
& quant(c462,one)
& gener(c462,sp)
& fact(c462,real)
& etype(c462,int0)
& card(c462,int1)
& sort(c462,na)
& varia(c461,con)
& refer(c461,det)
& quant(c461,one)
& gener(c461,sp)
& fact(c461,real)
& etype(c461,int0)
& card(c461,int1)
& sort(c461,d)
& varia(lebenswerk_1_1,varia_c)
& refer(lebenswerk_1_1,refer_c)
& quant(lebenswerk_1_1,one)
& gener(lebenswerk_1_1,ge)
& fact(lebenswerk_1_1,real)
& etype(lebenswerk_1_1,int0)
& card(lebenswerk_1_1,int1)
& sort(lebenswerk_1_1,io)
& sort(lebenswerk_1_1,d)
& varia(kr__366nung_1_2,varia_c)
& refer(kr__366nung_1_2,refer_c)
& quant(kr__366nung_1_2,one)
& gener(kr__366nung_1_2,ge)
& fact(kr__366nung_1_2,real)
& etype(kr__366nung_1_2,int0)
& card(kr__366nung_1_2,int1)
& sort(kr__366nung_1_2,as)
& varia(c451,varia_c)
& refer(c451,indet)
& quant(c451,one)
& gener(c451,sp)
& fact(c451,real)
& etype(c451,int0)
& card(c451,int1)
& sort(c451,io)
& sort(c451,d)
& varia(c338,con)
& refer(c338,det)
& quant(c338,one)
& gener(c338,sp)
& fact(c338,real)
& etype(c338,int0)
& card(c338,int1)
& sort(c338,as)
& sub(lebenswerk_1_1,artefakt_1_1)
& assoc(lebenswerk_1_1,leben_1_1)
& tupl_p4(c485,c338,c461,c474)
& val(c482,s__374dafrika_0)
& sub(c482,name_1_1)
& sub(c481,land_1_1)
& attr(c481,c482)
& attch(c481,c474)
& pmod(c476,erst_1_1,pr__344sident_1_1)
& sub(c474,c476)
& prop(c474,schwarz_1_1)
& val(c463,mandela_0)
& sub(c463,familiename_1_1)
& val(c462,nelson_0)
& sub(c462,eigenname_1_1)
& sub(c461,mensch_1_1)
& attr(c461,c463)
& attr(c461,c462)
& sub(c451,lebenswerk_1_1)
& subs(c338,kr__366nung_1_2)
& sspe(c338,c451) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mn3_278) ).
fof(attr_name__abk__374rzung_stehen_1_b_f__374r,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('theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).
fof(synth_qa07_010_mn3_278,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& 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('theBenchmark.p',synth_qa07_010_mn3_278) ).
fof(synth_qa07_010_mn3_278_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& 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(assume_negation,[status(cth)],[synth_qa07_010_mn3_278]) ).
fof(nnf_70,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(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk,plain,
! [X0,X1,X2] :
( ( subs(sK0(X0,X1,X2),stehen_1_b)
& scar(sK0(X0,X1,X2),X2)
& obj(sK0(X0,X1,X2),X2)
& mcont(sK0(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_70]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_1,VAR_2,VAR_0),stehen_1_b)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( scar(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk]) ).
cnf(c_145,plain,
( obj(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r]) ).
cnf(c_176,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_177,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
fof(nnf_40,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(fof_nnf,[status(thm)],[attr_name_hei__337en_1_1]) ).
fof(sk_attr_name_hei__337en_1_1_sk,plain,
! [X0,X1,X2] :
( ( subs(sK1(X0,X1,X2),hei__337en_1_1)
& arg2(sK1(X0,X1,X2),X2)
& arg1(sK1(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[nnf_40]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK1(VAR_1,VAR_2,VAR_0),hei__337en_1_1)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK1(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK1(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name_hei__337en_1_1_sk]) ).
cnf(c_245,plain,
( arg1(sK1(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_246,plain,
( arg2(sK1(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_247,plain,
( subs(sK1(B,C,A),hei__337en_1_1)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
fof(nnf_41,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(fof_nnf,[status(thm)],[hei__337en_1_1__bezeichnen_1_1_als]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als_sk,plain,
! [X0,X1,X2] :
( ( subs(sK3(X0,X1,X2),bezeichnen_1_1)
& subr(sK2(X0,X1,X2),rprs_0)
& obj(sK3(X0,X1,X2),X1)
& mcont(sK3(X0,X1,X2),sK2(X0,X1,X2))
& hsit(X0,sK3(X0,X1,X2))
& arg2(sK2(X0,X1,X2),X2)
& arg1(sK2(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2))],[nnf_41]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK3(VAR_0,VAR_1,VAR_2),bezeichnen_1_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( subr(sK2(VAR_0,VAR_1,VAR_2),rprs_0)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK3(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK3(VAR_0,VAR_1,VAR_2),sK2(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( hsit(VAR_0,sK3(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK2(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK2(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als_sk]) ).
cnf(c_248,plain,
( arg1(sK2(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_253,plain,
( subr(sK2(A,B,C),rprs_0)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_283,plain,
attr(c461,c462),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_284,plain,
attr(c461,c463),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_286,plain,
sub(c462,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_287,plain,
val(c462,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_288,plain,
sub(c463,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_289,plain,
val(c463,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_290,plain,
prop(c474,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_291,plain,
sub(c474,c476),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_292,plain,
pmod(c476,erst_1_1,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_294,plain,
attr(c481,c482),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_296,plain,
sub(c482,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_297,plain,
val(c482,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_278]) ).
cnf(c_472,negated_conjecture,
( ~ val(V6,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(B,rprs_0)
| ~ sub(V6,name_1_1)
| ~ sub(V8,A)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ prop(V8,schwarz_1_1)
| ~ obj(V7,C)
| ~ attr(F,V6)
| ~ attr(C,E)
| ~ attr(C,D)
| ~ arg1(B,C)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(clausify,[status(thm)],[synth_qa07_010_mn3_278_neg]) ).
cnf(c_473,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_177,c_176]) ).
cnf(c_1053,plain,
( arg1(sK1(c462,A,c461),c461)
| ~ sub(c462,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_245,c_283]) ).
cnf(c_1054,plain,
( arg1(sK1(c462,eigenname_1_1,c461),c461)
| ~ sub(c462,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1053,c_176]) ).
cnf(c_669,plain,
arg1(sK1(c462,eigenname_1_1,c461),c461),
inference(resolve,[status(thm)],[c_1054,c_286]) ).
cnf(c_1055,plain,
( arg2(sK1(c462,A,c461),c461)
| ~ sub(c462,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_246,c_283]) ).
cnf(c_1056,plain,
( arg2(sK1(c462,eigenname_1_1,c461),c461)
| ~ sub(c462,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1055,c_176]) ).
cnf(c_676,plain,
arg2(sK1(c462,eigenname_1_1,c461),c461),
inference(resolve,[status(thm)],[c_1056,c_286]) ).
cnf(c_1057,plain,
( subs(sK1(c462,A,c461),hei__337en_1_1)
| ~ sub(c462,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_247,c_283]) ).
cnf(c_1058,plain,
( subs(sK1(c462,eigenname_1_1,c461),hei__337en_1_1)
| ~ sub(c462,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1057,c_176]) ).
cnf(c_677,plain,
subs(sK1(c462,eigenname_1_1,c461),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1058,c_286]) ).
cnf(c_1059,plain,
( obj(sK0(c463,A,c461),c461)
| ~ sub(c463,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_145,c_284]) ).
cnf(c_1060,plain,
( obj(sK0(c463,familiename_1_1,c461),c461)
| ~ sub(c463,familiename_1_1) ),
inference(resolve,[status(thm)],[c_1059,c_473]) ).
cnf(c_858,plain,
obj(sK0(c463,familiename_1_1,c461),c461),
inference(resolve,[status(thm)],[c_1060,c_288]) ).
cnf(c_1061,plain,
( subr(sK2(sK1(c462,eigenname_1_1,c461),c461,A),rprs_0)
| ~ subs(sK1(c462,eigenname_1_1,c461),hei__337en_1_1)
| ~ arg2(sK1(c462,eigenname_1_1,c461),A) ),
inference(resolve,[status(thm)],[c_253,c_669]) ).
cnf(c_1062,plain,
( subr(sK2(sK1(c462,eigenname_1_1,c461),c461,c461),rprs_0)
| ~ subs(sK1(c462,eigenname_1_1,c461),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1061,c_676]) ).
cnf(c_877,plain,
subr(sK2(sK1(c462,eigenname_1_1,c461),c461,c461),rprs_0),
inference(resolve,[status(thm)],[c_1062,c_677]) ).
cnf(c_1063,plain,
( arg1(sK2(sK1(c462,eigenname_1_1,c461),c461,A),c461)
| ~ subs(sK1(c462,eigenname_1_1,c461),hei__337en_1_1)
| ~ arg2(sK1(c462,eigenname_1_1,c461),A) ),
inference(resolve,[status(thm)],[c_248,c_669]) ).
cnf(c_1064,plain,
( arg1(sK2(sK1(c462,eigenname_1_1,c461),c461,c461),c461)
| ~ subs(sK1(c462,eigenname_1_1,c461),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1063,c_676]) ).
cnf(c_882,plain,
arg1(sK2(sK1(c462,eigenname_1_1,c461),c461,c461),c461),
inference(resolve,[status(thm)],[c_1064,c_677]) ).
cnf(c_1065,negated_conjecture,
( ~ val(F,s__374dafrika_0)
| ~ val(D,nelson_0)
| ~ val(C,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(F,name_1_1)
| ~ sub(V7,c476)
| ~ sub(D,eigenname_1_1)
| ~ sub(C,familiename_1_1)
| ~ prop(V7,schwarz_1_1)
| ~ obj(V6,B)
| ~ attr(E,F)
| ~ attr(B,D)
| ~ attr(B,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_472,c_292]) ).
cnf(c_1066,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(F,c476)
| ~ sub(B,eigenname_1_1)
| ~ sub(c463,familiename_1_1)
| ~ prop(F,schwarz_1_1)
| ~ obj(E,c461)
| ~ attr(C,D)
| ~ attr(c461,B)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1065,c_284]) ).
cnf(c_1067,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(E,c476)
| ~ sub(c462,eigenname_1_1)
| ~ sub(c463,familiename_1_1)
| ~ prop(E,schwarz_1_1)
| ~ obj(D,c461)
| ~ attr(B,C)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1066,c_283]) ).
cnf(c_1068,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c482,name_1_1)
| ~ sub(C,c476)
| ~ sub(c462,eigenname_1_1)
| ~ sub(c463,familiename_1_1)
| ~ prop(C,schwarz_1_1)
| ~ obj(B,c461)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1067,c_294]) ).
cnf(c_1069,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c482,name_1_1)
| ~ sub(B,c476)
| ~ sub(c462,eigenname_1_1)
| ~ sub(c463,familiename_1_1)
| ~ prop(B,schwarz_1_1)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1068,c_858]) ).
cnf(c_1070,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c482,name_1_1)
| ~ sub(c474,c476)
| ~ sub(c462,eigenname_1_1)
| ~ sub(c463,familiename_1_1)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1069,c_290]) ).
cnf(c_1071,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c482,name_1_1)
| ~ sub(c474,c476)
| ~ sub(c462,eigenname_1_1)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1070,c_288]) ).
cnf(c_1072,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c482,name_1_1)
| ~ sub(c474,c476)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1071,c_286]) ).
cnf(c_1073,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c482,name_1_1)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1072,c_291]) ).
cnf(c_1074,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ subr(A,rprs_0)
| ~ arg1(A,c461) ),
inference(resolve,[status(thm)],[c_1073,c_296]) ).
cnf(c_1075,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ val(c463,mandela_0)
| ~ arg1(sK2(sK1(c462,eigenname_1_1,c461),c461,c461),c461) ),
inference(resolve,[status(thm)],[c_1074,c_877]) ).
cnf(c_1076,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ val(c462,nelson_0)
| ~ arg1(sK2(sK1(c462,eigenname_1_1,c461),c461,c461),c461) ),
inference(resolve,[status(thm)],[c_1075,c_289]) ).
cnf(c_1077,negated_conjecture,
( ~ val(c482,s__374dafrika_0)
| ~ arg1(sK2(sK1(c462,eigenname_1_1,c461),c461,c461),c461) ),
inference(resolve,[status(thm)],[c_1076,c_287]) ).
cnf(c_1078,negated_conjecture,
~ arg1(sK2(sK1(c462,eigenname_1_1,c461),c461,c461),c461),
inference(resolve,[status(thm)],[c_1077,c_297]) ).
cnf(c_1052,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_882,c_1078]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+40 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 01:17:25 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.37 % Process 4182633 was started by sandbox2 on n003,
% 0.12/0.37 % Sun Sep 27 01:17:25 2026
% 0.12/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.94/0.78
% 1.94/0.78 % SInE (scan): 82 to sos (tol 1.5x), 33 to usable (tol 2.0x), 10073 zapped, of 10188 axioms (depth 3).
% 1.94/0.78
% 1.94/0.78 % From the command line: assign(max_seconds, 300).
% 1.94/0.78
% 1.94/0.78 % given #500 (A,wt=5): 675 sort_leq(pr__344sident_1_1,d). [ur(195,a,404,a,b,196,a)].
% 1.94/0.78
% 1.94/0.78 % SZS status Theorem for theBenchmark
% 1.94/0.78
% 1.94/0.78 % Proof 1 at 0.20 (+ 0.07) seconds.
% 1.94/0.78 % Length of proof is 36.
% 1.94/0.78 % Level of proof is 4.
% 1.94/0.78 % Maximum clause weight is 112.000.
% 1.94/0.78 % Given clauses 747.
% 1.94/0.78
% 1.94/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------