%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+38 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 1.81s 0.68s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 586 ( 0 equ)
% Maximal formula atoms : 282 ( 8 avg)
% Number of connectives : 710 ( 190 ~; 175 |; 343 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 282 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-10 aty)
% Number of functors : 79 ( 79 usr; 75 con; 0-3 aty)
% Number of variables : 135 ( 17 sgn 50 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
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_wp_726,axiom,
( varia(gemeinschaft_1_1,varia_c)
& refer(gemeinschaft_1_1,refer_c)
& quant(gemeinschaft_1_1,quant_c)
& gener(gemeinschaft_1_1,ge)
& fact(gemeinschaft_1_1,real)
& etype(gemeinschaft_1_1,int1)
& card(gemeinschaft_1_1,card_c)
& sort(gemeinschaft_1_1,d)
& varia(nicht_2_1,varia_c)
& refer(nicht_2_1,refer_c)
& quant(nicht_2_1,one)
& gener(nicht_2_1,ge)
& fact(nicht_2_1,real)
& etype(nicht_2_1,int0)
& card(nicht_2_1,int1)
& sort(nicht_2_1,o)
& card(c85,int1994)
& sort(c85,nu)
& varia(jahr__1_1,varia_c)
& refer(jahr__1_1,refer_c)
& quant(jahr__1_1,quant_c)
& gener(jahr__1_1,ge)
& fact(jahr__1_1,real)
& etype(jahr__1_1,etype_c)
& card(jahr__1_1,card_c)
& sort(jahr__1_1,ta)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,me)
& card(c86,int4)
& sort(c86,nu)
& varia(monat_1_1,varia_c)
& refer(monat_1_1,refer_c)
& quant(monat_1_1,quant_c)
& gener(monat_1_1,ge)
& fact(monat_1_1,real)
& etype(monat_1_1,etype_c)
& card(monat_1_1,card_c)
& sort(monat_1_1,ta)
& sort(monat_1_1,oa)
& sort(monat_1_1,me)
& varia(c89,varia_c)
& refer(c89,refer_c)
& quant(c89,quant_c)
& gener(c89,sp)
& fact(c89,real)
& etype(c89,etype_c)
& card(c89,card_c)
& sort(c89,ta)
& sort(c89,oa)
& sort(c89,me)
& varia(c88,varia_c)
& refer(c88,refer_c)
& quant(c88,quant_c)
& gener(c88,sp)
& fact(c88,real)
& etype(c88,etype_c)
& card(c88,card_c)
& sort(c88,ta)
& sort(c88,oa)
& sort(c88,me)
& varia(c81,varia_c)
& refer(c81,refer_c)
& quant(c81,one)
& gener(c81,ge)
& fact(c81,real)
& etype(c81,int0)
& card(c81,int1)
& sort(c81,ad)
& varia(c145,varia_c)
& refer(c145,det)
& quant(c145,one)
& gener(c145,sp)
& fact(c145,real)
& etype(c145,int0)
& card(c145,int1)
& sort(c145,o)
& varia(c97,varia_c)
& refer(c97,indet)
& quant(c97,mult)
& gener(c97,gener_c)
& fact(c97,real)
& etype(c97,int1)
& card(c97,cons(x_constant,cons(int1,nil)))
& sort(c97,o)
& varia(c87,con)
& refer(c87,det)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,t)
& varia(c78,con)
& refer(c78,det)
& quant(c78,mult)
& gener(c78,sp)
& fact(c78,real)
& etype(c78,int1)
& card(c78,cons(x_constant,cons(int1,nil)))
& sort(c78,ad)
& varia(c217,varia_c)
& refer(c217,refer_c)
& quant(c217,quant_c)
& gener(c217,gener_c)
& fact(c217,real)
& etype(c217,etype_c)
& card(c217,card_c)
& sort(c217,ent)
& 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(c176,con)
& refer(c176,det)
& quant(c176,one)
& gener(c176,sp)
& fact(c176,real)
& etype(c176,int0)
& card(c176,int1)
& sort(c176,io)
& sort(c176,d)
& varia(l__344ndergemeinschaft_1_1,varia_c)
& refer(l__344ndergemeinschaft_1_1,refer_c)
& quant(l__344ndergemeinschaft_1_1,quant_c)
& gener(l__344ndergemeinschaft_1_1,ge)
& fact(l__344ndergemeinschaft_1_1,real)
& etype(l__344ndergemeinschaft_1_1,int1)
& card(l__344ndergemeinschaft_1_1,card_c)
& sort(l__344ndergemeinschaft_1_1,d)
& sort(erdweit_1_1,tq)
& varia(c169,con)
& refer(c169,det)
& quant(c169,one)
& gener(c169,sp)
& fact(c169,real)
& etype(c169,int1)
& card(c169,int1)
& sort(c169,d)
& varia(sanktion_1_1,varia_c)
& refer(sanktion_1_1,refer_c)
& quant(sanktion_1_1,one)
& gener(sanktion_1_1,ge)
& fact(sanktion_1_1,real)
& etype(sanktion_1_1,int0)
& card(sanktion_1_1,int1)
& sort(sanktion_1_1,io)
& sort(sanktion_1_1,ad)
& varia(c142,varia_c)
& refer(c142,refer_c)
& quant(c142,most)
& gener(c142,gener_c)
& fact(c142,real)
& etype(c142,int1)
& card(c142,cons(x_constant,cons(int1,nil)))
& sort(c142,io)
& sort(c142,ad)
& 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)
& sort(schwarz_1_1,tq)
& varia(c134,varia_c)
& refer(c134,indet)
& quant(c134,one)
& gener(c134,sp)
& fact(c134,real)
& etype(c134,int0)
& card(c134,int1)
& sort(c134,na)
& varia(c133,varia_c)
& refer(c133,indet)
& quant(c133,one)
& gener(c133,sp)
& fact(c133,real)
& etype(c133,int0)
& card(c133,int1)
& sort(c133,na)
& varia(c132,con)
& refer(c132,det)
& quant(c132,one)
& gener(c132,sp)
& fact(c132,real)
& etype(c132,int0)
& card(c132,int1)
& sort(c132,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(c128,varia_c)
& refer(c128,refer_c)
& quant(c128,one)
& gener(c128,ge)
& fact(c128,real)
& etype(c128,int0)
& card(c128,int1)
& sort(c128,d)
& varia(wahl_1_1,varia_c)
& refer(wahl_1_1,refer_c)
& quant(wahl_1_1,one)
& gener(wahl_1_1,ge)
& fact(wahl_1_1,real)
& etype(wahl_1_1,int0)
& card(wahl_1_1,int1)
& sort(wahl_1_1,ad)
& varia(c120,con)
& refer(c120,det)
& quant(c120,one)
& gener(c120,sp)
& fact(c120,real)
& etype(c120,int0)
& card(c120,int1)
& sort(c120,ad)
& varia(weizen__1_1,varia_c)
& refer(weizen__1_1,refer_c)
& quant(weizen__1_1,one)
& gener(weizen__1_1,ge)
& fact(weizen__1_1,real)
& etype(weizen__1_1,int0)
& card(weizen__1_1,int1)
& sort(weizen__1_1,d)
& varia(c102,varia_c)
& refer(c102,indet)
& quant(c102,mult)
& gener(c102,gener_c)
& fact(c102,real)
& etype(c102,int1)
& card(c102,cons(x_constant,cons(int1,nil)))
& sort(c102,d)
& sub(l__344ndergemeinschaft_1_1,gemeinschaft_1_1)
& assoc(l__344ndergemeinschaft_1_1,land_1_1)
& pred(c97,nicht_2_1)
& val(c89,c85)
& sub(c89,jahr__1_1)
& val(c88,c86)
& sub(c88,monat_1_1)
& attr(c87,c89)
& attr(c87,c88)
& pmod(c81,erst_1_1,wahl_1_1)
& preds(c78,c81)
& tupl_p10(c217,c78,c87,c97,c102,c120,c142,c145,c169,c176)
& sub(c176,land_1_1)
& sub(c169,l__344ndergemeinschaft_1_1)
& prop(c169,erdweit_1_1)
& pred(c142,sanktion_1_1)
& val(c134,mandela_0)
& sub(c134,familiename_1_1)
& val(c133,nelson_0)
& sub(c133,eigenname_1_1)
& sub(c132,c128)
& prop(c132,schwarz_1_1)
& attr(c132,c134)
& attr(c132,c133)
& attch(c132,c120)
& pmod(c128,erst_1_1,pr__344sident_1_1)
& subs(c120,wahl_1_1)
& pred(c102,weizen__1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_726) ).
fof(synth_qa07_010_mira_wp_726,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)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('theBenchmark.p',synth_qa07_010_mira_wp_726) ).
fof(synth_qa07_010_mira_wp_726_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)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_wp_726]) ).
cnf(c_142,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_36,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(sK0(X0,X1,X2),hei__337en_1_1)
& arg2(sK0(X0,X1,X2),X2)
& arg1(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_36]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(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(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] :
( arg1(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_hei__337en_1_1_sk]) ).
cnf(c_210,plain,
( arg1(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_hei__337en_1_1]) ).
cnf(c_211,plain,
( arg2(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_hei__337en_1_1]) ).
cnf(c_212,plain,
( subs(sK0(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_37,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(sK2(X0,X1,X2),bezeichnen_1_1)
& subr(sK1(X0,X1,X2),rprs_0)
& obj(sK2(X0,X1,X2),X1)
& mcont(sK2(X0,X1,X2),sK1(X0,X1,X2))
& hsit(X0,sK2(X0,X1,X2))
& arg2(sK1(X0,X1,X2),X2)
& arg1(sK1(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2))],[nnf_37]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK2(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(sK1(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(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) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK2(VAR_0,VAR_1,VAR_2),sK1(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,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] :
( arg2(sK1(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(sK1(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_213,plain,
( arg1(sK1(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_214,plain,
( arg2(sK1(A,B,C),C)
| ~ 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_217,plain,
( obj(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_218,plain,
( subr(sK1(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_256,plain,
pmod(c128,erst_1_1,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_258,plain,
attr(c132,c133),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_259,plain,
attr(c132,c134),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_260,plain,
prop(c132,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_261,plain,
sub(c132,c128),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_262,plain,
sub(c133,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_263,plain,
val(c133,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_264,plain,
sub(c134,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_265,plain,
val(c134,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_274,plain,
attr(c87,c89),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_726]) ).
cnf(c_536,negated_conjecture,
( ~ val(F,nelson_0)
| ~ val(E,mandela_0)
| ~ subr(B,rprs_0)
| ~ sub(D,A)
| ~ sub(F,eigenname_1_1)
| ~ sub(E,familiename_1_1)
| ~ prop(D,schwarz_1_1)
| ~ obj(V8,C)
| ~ attr(V6,V7)
| ~ attr(C,F)
| ~ attr(C,E)
| ~ arg2(B,D)
| ~ arg1(B,C)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_wp_726_neg]) ).
cnf(c_1269,plain,
( arg1(sK0(c133,A,c132),c132)
| ~ sub(c133,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_210,c_258]) ).
cnf(c_1270,plain,
( arg1(sK0(c133,eigenname_1_1,c132),c132)
| ~ sub(c133,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1269,c_142]) ).
cnf(c_673,plain,
arg1(sK0(c133,eigenname_1_1,c132),c132),
inference(resolve,[status(thm)],[c_1270,c_262]) ).
cnf(c_1271,plain,
( arg2(sK0(c133,A,c132),c132)
| ~ sub(c133,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_211,c_258]) ).
cnf(c_1272,plain,
( arg2(sK0(c133,eigenname_1_1,c132),c132)
| ~ sub(c133,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1271,c_142]) ).
cnf(c_682,plain,
arg2(sK0(c133,eigenname_1_1,c132),c132),
inference(resolve,[status(thm)],[c_1272,c_262]) ).
cnf(c_1273,plain,
( subs(sK0(c133,A,c132),hei__337en_1_1)
| ~ sub(c133,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_212,c_258]) ).
cnf(c_1274,plain,
( subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1)
| ~ sub(c133,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1273,c_142]) ).
cnf(c_683,plain,
subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1274,c_262]) ).
cnf(c_1275,plain,
( subr(sK1(sK0(c133,eigenname_1_1,c132),c132,A),rprs_0)
| ~ subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1)
| ~ arg2(sK0(c133,eigenname_1_1,c132),A) ),
inference(resolve,[status(thm)],[c_218,c_673]) ).
cnf(c_1276,plain,
( subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1275,c_682]) ).
cnf(c_1082,plain,
subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0),
inference(resolve,[status(thm)],[c_1276,c_683]) ).
cnf(c_1277,plain,
( obj(sK2(sK0(c133,eigenname_1_1,c132),c132,A),c132)
| ~ subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1)
| ~ arg2(sK0(c133,eigenname_1_1,c132),A) ),
inference(resolve,[status(thm)],[c_217,c_673]) ).
cnf(c_1278,plain,
( obj(sK2(sK0(c133,eigenname_1_1,c132),c132,c132),c132)
| ~ subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1277,c_682]) ).
cnf(c_1083,plain,
obj(sK2(sK0(c133,eigenname_1_1,c132),c132,c132),c132),
inference(resolve,[status(thm)],[c_1278,c_683]) ).
cnf(c_1279,plain,
( arg2(sK1(sK0(c133,eigenname_1_1,c132),c132,A),A)
| ~ subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1)
| ~ arg2(sK0(c133,eigenname_1_1,c132),A) ),
inference(resolve,[status(thm)],[c_214,c_673]) ).
cnf(c_1280,plain,
( arg2(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132)
| ~ subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1279,c_682]) ).
cnf(c_1086,plain,
arg2(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132),
inference(resolve,[status(thm)],[c_1280,c_683]) ).
cnf(c_1281,plain,
( arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,A),c132)
| ~ subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1)
| ~ arg2(sK0(c133,eigenname_1_1,c132),A) ),
inference(resolve,[status(thm)],[c_213,c_673]) ).
cnf(c_1282,plain,
( arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132)
| ~ subs(sK0(c133,eigenname_1_1,c132),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1281,c_682]) ).
cnf(c_1087,plain,
arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132),
inference(resolve,[status(thm)],[c_1282,c_683]) ).
cnf(c_1283,negated_conjecture,
( ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(C,c128)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ prop(C,schwarz_1_1)
| ~ obj(V7,B)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_536,c_256]) ).
cnf(c_1284,negated_conjecture,
( ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ sub(c132,c128)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ prop(c132,schwarz_1_1)
| ~ obj(F,A)
| ~ attr(D,E)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),A) ),
inference(resolve,[status(thm)],[c_1283,c_1086]) ).
cnf(c_1285,negated_conjecture,
( ~ val(A,nelson_0)
| ~ val(c134,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ sub(c132,c128)
| ~ sub(A,eigenname_1_1)
| ~ sub(c134,familiename_1_1)
| ~ prop(c132,schwarz_1_1)
| ~ obj(D,c132)
| ~ attr(B,C)
| ~ attr(c132,A)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1284,c_259]) ).
cnf(c_1286,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ val(c134,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ sub(c132,c128)
| ~ sub(c133,eigenname_1_1)
| ~ sub(c134,familiename_1_1)
| ~ prop(c132,schwarz_1_1)
| ~ obj(C,c132)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1285,c_258]) ).
cnf(c_1287,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ val(c134,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ sub(c132,c128)
| ~ sub(c133,eigenname_1_1)
| ~ sub(c134,familiename_1_1)
| ~ prop(c132,schwarz_1_1)
| ~ obj(A,c132)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1286,c_274]) ).
cnf(c_1288,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ val(c134,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ sub(c132,c128)
| ~ sub(c133,eigenname_1_1)
| ~ sub(c134,familiename_1_1)
| ~ prop(c132,schwarz_1_1)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1287,c_1083]) ).
cnf(c_1289,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ val(c134,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ sub(c132,c128)
| ~ sub(c133,eigenname_1_1)
| ~ sub(c134,familiename_1_1)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1288,c_260]) ).
cnf(c_1290,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ val(c134,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ sub(c132,c128)
| ~ sub(c133,eigenname_1_1)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1289,c_264]) ).
cnf(c_1291,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ val(c134,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ sub(c132,c128)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1290,c_262]) ).
cnf(c_1292,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ val(c134,mandela_0)
| ~ subr(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),rprs_0)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1291,c_261]) ).
cnf(c_1293,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ val(c134,mandela_0)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1292,c_1082]) ).
cnf(c_1294,negated_conjecture,
( ~ val(c133,nelson_0)
| ~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132) ),
inference(resolve,[status(thm)],[c_1293,c_265]) ).
cnf(c_1295,negated_conjecture,
~ arg1(sK1(sK0(c133,eigenname_1_1,c132),c132,c132),c132),
inference(resolve,[status(thm)],[c_1294,c_263]) ).
cnf(c_1268,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1087,c_1295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+38 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 01:15:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 1535917 was started by sandbox on n009,
% 0.10/0.37 % Sun Sep 27 01:15:29 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.81/0.68
% 1.81/0.68 % SInE (scan): 90 to sos (tol 1.5x), 26 to usable (tol 2.0x), 10072 zapped, of 10188 axioms (depth 3).
% 1.81/0.68
% 1.81/0.68 % From the command line: assign(max_seconds, 300).
% 1.81/0.68
% 1.81/0.68 % given #500 (A,wt=5): 641 has_fact_leq(pr__344sident_1_1,fact_c). [ur(152,a,327,a,b,153,a)].
% 1.81/0.68
% 1.81/0.68 % SZS status Theorem for theBenchmark
% 1.81/0.68
% 1.81/0.68 % Proof 1 at 0.18 (+ 0.05) seconds.
% 1.81/0.68 % Length of proof is 32.
% 1.81/0.68 % Level of proof is 4.
% 1.81/0.68 % Maximum clause weight is 45.000.
% 1.81/0.68 % Given clauses 971.
% 1.81/0.68
% 1.81/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------