%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+11 : 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 : n008.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 07:07:50 AM UTC 2026
% Result : Theorem 1.74s 0.69s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 67 ( 20 unt; 0 def)
% Number of atoms : 436 ( 0 equ)
% Maximal formula atoms : 117 ( 6 avg)
% Number of connectives : 558 ( 189 ~; 175 |; 190 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 117 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 41 con; 0-3 aty)
% Number of variables : 169 ( 17 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_mira_news_1668,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('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1668) ).
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_mira_news_1668,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('theBenchmark.p',synth_qa07_010_mira_news_1668) ).
fof(synth_qa07_010_mira_news_1668_neg,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(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1668]) ).
fof(nnf_65,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_65]) ).
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_127,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_162,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_163,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
fof(nnf_38,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_38]) ).
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_225,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_226,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_227,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_39,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_39]) ).
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_228,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_233,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_252,plain,
attr(c5,c6),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_253,plain,
attr(c5,c7),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_255,plain,
sub(c6,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_256,plain,
val(c6,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_257,plain,
sub(c7,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_258,plain,
val(c7,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_263,plain,
prop(c90,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_264,plain,
sub(c90,c92),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_265,plain,
pmod(c92,erst_1_1,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).
cnf(c_369,negated_conjecture,
( ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(B,rprs_0)
| ~ 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_mira_news_1668_neg]) ).
cnf(c_370,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_163,c_162]) ).
cnf(c_768,plain,
( arg1(sK1(c6,A,c5),c5)
| ~ sub(c6,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_225,c_252]) ).
cnf(c_769,plain,
( arg1(sK1(c6,eigenname_1_1,c5),c5)
| ~ sub(c6,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_768,c_162]) ).
cnf(c_558,plain,
arg1(sK1(c6,eigenname_1_1,c5),c5),
inference(resolve,[status(thm)],[c_769,c_255]) ).
cnf(c_770,plain,
( arg2(sK1(c6,A,c5),c5)
| ~ sub(c6,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_226,c_252]) ).
cnf(c_771,plain,
( arg2(sK1(c6,eigenname_1_1,c5),c5)
| ~ sub(c6,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_770,c_162]) ).
cnf(c_559,plain,
arg2(sK1(c6,eigenname_1_1,c5),c5),
inference(resolve,[status(thm)],[c_771,c_255]) ).
cnf(c_772,plain,
( subs(sK1(c6,A,c5),hei__337en_1_1)
| ~ sub(c6,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_227,c_252]) ).
cnf(c_773,plain,
( subs(sK1(c6,eigenname_1_1,c5),hei__337en_1_1)
| ~ sub(c6,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_772,c_162]) ).
cnf(c_568,plain,
subs(sK1(c6,eigenname_1_1,c5),hei__337en_1_1),
inference(resolve,[status(thm)],[c_773,c_255]) ).
cnf(c_774,plain,
( obj(sK0(c7,A,c5),c5)
| ~ sub(c7,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_127,c_253]) ).
cnf(c_775,plain,
( obj(sK0(c7,familiename_1_1,c5),c5)
| ~ sub(c7,familiename_1_1) ),
inference(resolve,[status(thm)],[c_774,c_370]) ).
cnf(c_632,plain,
obj(sK0(c7,familiename_1_1,c5),c5),
inference(resolve,[status(thm)],[c_775,c_257]) ).
cnf(c_776,plain,
( subr(sK2(sK1(c6,eigenname_1_1,c5),c5,A),rprs_0)
| ~ subs(sK1(c6,eigenname_1_1,c5),hei__337en_1_1)
| ~ arg2(sK1(c6,eigenname_1_1,c5),A) ),
inference(resolve,[status(thm)],[c_233,c_558]) ).
cnf(c_777,plain,
( subr(sK2(sK1(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ subs(sK1(c6,eigenname_1_1,c5),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_776,c_559]) ).
cnf(c_639,plain,
subr(sK2(sK1(c6,eigenname_1_1,c5),c5,c5),rprs_0),
inference(resolve,[status(thm)],[c_777,c_568]) ).
cnf(c_778,plain,
( arg1(sK2(sK1(c6,eigenname_1_1,c5),c5,A),c5)
| ~ subs(sK1(c6,eigenname_1_1,c5),hei__337en_1_1)
| ~ arg2(sK1(c6,eigenname_1_1,c5),A) ),
inference(resolve,[status(thm)],[c_228,c_558]) ).
cnf(c_779,plain,
( arg1(sK2(sK1(c6,eigenname_1_1,c5),c5,c5),c5)
| ~ subs(sK1(c6,eigenname_1_1,c5),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_778,c_559]) ).
cnf(c_644,plain,
arg1(sK2(sK1(c6,eigenname_1_1,c5),c5,c5),c5),
inference(resolve,[status(thm)],[c_779,c_568]) ).
cnf(c_780,negated_conjecture,
( ~ val(D,nelson_0)
| ~ val(C,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(V7,c92)
| ~ 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_369,c_265]) ).
cnf(c_781,negated_conjecture,
( ~ val(B,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(F,c92)
| ~ sub(B,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ prop(F,schwarz_1_1)
| ~ obj(E,c5)
| ~ attr(C,D)
| ~ attr(c5,B)
| ~ arg1(A,c5) ),
inference(resolve,[status(thm)],[c_780,c_253]) ).
cnf(c_782,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(E,c92)
| ~ sub(c6,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ prop(E,schwarz_1_1)
| ~ obj(D,c5)
| ~ attr(B,C)
| ~ arg1(A,c5) ),
inference(resolve,[status(thm)],[c_781,c_252]) ).
cnf(c_783,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(C,c92)
| ~ sub(c6,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ prop(C,schwarz_1_1)
| ~ obj(B,c5)
| ~ arg1(A,c5) ),
inference(resolve,[status(thm)],[c_782,c_253]) ).
cnf(c_784,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(B,c92)
| ~ sub(c6,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ prop(B,schwarz_1_1)
| ~ arg1(A,c5) ),
inference(resolve,[status(thm)],[c_783,c_632]) ).
cnf(c_785,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c90,c92)
| ~ sub(c6,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ arg1(A,c5) ),
inference(resolve,[status(thm)],[c_784,c_263]) ).
cnf(c_786,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c90,c92)
| ~ sub(c6,eigenname_1_1)
| ~ arg1(A,c5) ),
inference(resolve,[status(thm)],[c_785,c_257]) ).
cnf(c_787,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c90,c92)
| ~ arg1(A,c5) ),
inference(resolve,[status(thm)],[c_786,c_255]) ).
cnf(c_788,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(A,rprs_0)
| ~ arg1(A,c5) ),
inference(resolve,[status(thm)],[c_787,c_264]) ).
cnf(c_789,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ arg1(sK2(sK1(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_788,c_639]) ).
cnf(c_790,negated_conjecture,
( ~ val(c6,nelson_0)
| ~ arg1(sK2(sK1(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_789,c_258]) ).
cnf(c_791,negated_conjecture,
~ arg1(sK2(sK1(c6,eigenname_1_1,c5),c5,c5),c5),
inference(resolve,[status(thm)],[c_790,c_256]) ).
cnf(c_767,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_644,c_791]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+11 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 01:14:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 739413 was started by sandbox2 on n008,
% 0.08/0.36 % Sun Sep 27 01:14:39 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.74/0.69
% 1.74/0.69 % SInE (scan): 80 to sos (tol 1.5x), 27 to usable (tol 2.0x), 10081 zapped, of 10188 axioms (depth 3).
% 1.74/0.69
% 1.74/0.69 % From the command line: assign(max_seconds, 300).
% 1.74/0.69
% 1.74/0.69 % given #500 (W,wt=5): 710 sort_leq(eigenname_1_1,ent). [ur(181,a,300,a,b,684,a)].
% 1.74/0.69
% 1.74/0.69 % SZS status Theorem for theBenchmark
% 1.74/0.69
% 1.74/0.69 % Proof 1 at 0.16 (+ 0.07) seconds.
% 1.74/0.69 % Length of proof is 33.
% 1.74/0.69 % Level of proof is 4.
% 1.74/0.69 % Maximum clause weight is 112.000.
% 1.74/0.69 % Given clauses 530.
% 1.74/0.69
% 1.74/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------