%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+32 : 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 : n005.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 07:07:54 AM UTC 2026
% Result : Theorem 1.30s 0.63s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 40 ( 20 unt; 0 def)
% Number of atoms : 564 ( 0 equ)
% Maximal formula atoms : 338 ( 14 avg)
% Number of connectives : 696 ( 172 ~; 153 |; 371 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 338 ( 15 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 85 ( 85 usr; 84 con; 0-2 aty)
% Number of variables : 56 ( 5 sgn 0 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_010_mira_wp_674,axiom,
( varia(demokratie__1_1,varia_c)
& refer(demokratie__1_1,refer_c)
& quant(demokratie__1_1,one)
& gener(demokratie__1_1,ge)
& fact(demokratie__1_1,real)
& etype(demokratie__1_1,int0)
& card(demokratie__1_1,int1)
& sort(demokratie__1_1,io)
& card(c3,int1994)
& sort(c3,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)
& varia(c8,varia_c)
& refer(c8,refer_c)
& quant(c8,quant_c)
& gener(c8,sp)
& fact(c8,real)
& etype(c8,etype_c)
& card(c8,card_c)
& sort(c8,ta)
& sort(c8,oa)
& sort(c8,me)
& varia(c7,con)
& refer(c7,det)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,t)
& gener(gewinnen_1_1,ge)
& fact(gewinnen_1_1,real)
& sort(gewinnen_1_1,dn)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& sort(s__374dafrika_0,fe)
& 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(c319,varia_c)
& refer(c319,indet)
& quant(c319,one)
& gener(c319,sp)
& fact(c319,real)
& etype(c319,int0)
& card(c319,int1)
& sort(c319,na)
& varia(c318,con)
& refer(c318,det)
& quant(c318,one)
& gener(c318,sp)
& fact(c318,real)
& etype(c318,int0)
& card(c318,int1)
& sort(c318,io)
& sort(c318,d)
& gener(w__344hlen_1_2,ge)
& fact(w__344hlen_1_2,real)
& sort(w__344hlen_1_2,da)
& gener(c6,sp)
& fact(c6,real)
& sort(c6,dn)
& gener(c322,sp)
& fact(c322,real)
& sort(c322,st)
& gener(c309,sp)
& fact(c309,real)
& sort(c309,da)
& 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)
& varia(c303,varia_c)
& refer(c303,refer_c)
& quant(c303,one)
& gener(c303,ge)
& fact(c303,real)
& etype(c303,int0)
& card(c303,int1)
& sort(c303,d)
& sort(schwarz_1_1,tq)
& varia(c301,con)
& refer(c301,det)
& quant(c301,one)
& gener(c301,sp)
& fact(c301,real)
& etype(c301,int0)
& card(c301,int1)
& sort(c301,d)
& varia(abgeordneten_haus_1_2,varia_c)
& refer(abgeordneten_haus_1_2,refer_c)
& quant(abgeordneten_haus_1_2,one)
& gener(abgeordneten_haus_1_2,ge)
& fact(abgeordneten_haus_1_2,real)
& etype(abgeordneten_haus_1_2,int0)
& card(abgeordneten_haus_1_2,int1)
& sort(abgeordneten_haus_1_2,io)
& sort(abgeordneten_haus_1_2,d)
& sort(neo_1_1,nq)
& varia(c294,con)
& refer(c294,det)
& quant(c294,one)
& gener(c294,sp)
& fact(c294,real)
& etype(c294,int0)
& card(c294,int1)
& sort(c294,io)
& sort(c294,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(c290,varia_c)
& refer(c290,indet)
& quant(c290,one)
& gener(c290,sp)
& fact(c290,real)
& etype(c290,int0)
& card(c290,int1)
& sort(c290,na)
& varia(c289,varia_c)
& refer(c289,indet)
& quant(c289,one)
& gener(c289,sp)
& fact(c289,real)
& etype(c289,int0)
& card(c289,int1)
& sort(c289,na)
& varia(c288,con)
& refer(c288,det)
& quant(c288,one)
& gener(c288,sp)
& fact(c288,real)
& etype(c288,int0)
& card(c288,int1)
& sort(c288,d)
& card(c279,int5)
& sort(c279,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)
& card(c278,int9)
& sort(c278,nu)
& varia(tag_1_1,varia_c)
& refer(tag_1_1,refer_c)
& quant(tag_1_1,quant_c)
& gener(tag_1_1,ge)
& fact(tag_1_1,real)
& etype(tag_1_1,etype_c)
& card(tag_1_1,card_c)
& sort(tag_1_1,ta)
& sort(tag_1_1,oa)
& sort(tag_1_1,me)
& varia(c282,varia_c)
& refer(c282,det)
& quant(c282,quant_c)
& gener(c282,sp)
& fact(c282,real)
& etype(c282,etype_c)
& card(c282,card_c)
& sort(c282,ta)
& sort(c282,oa)
& sort(c282,me)
& varia(c281,varia_c)
& refer(c281,det)
& quant(c281,quant_c)
& gener(c281,sp)
& fact(c281,real)
& etype(c281,etype_c)
& card(c281,card_c)
& sort(c281,ta)
& sort(c281,oa)
& sort(c281,me)
& varia(c280,con)
& refer(c280,det)
& quant(c280,one)
& gener(c280,sp)
& fact(c280,real)
& etype(c280,int0)
& card(c280,int1)
& sort(c280,t)
& 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)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& sort(demokratisch__1_1,nq)
& varia(c22,varia_c)
& refer(c22,refer_c)
& quant(c22,one)
& gener(c22,ge)
& fact(c22,real)
& etype(c22,int0)
& card(c22,int1)
& sort(c22,ad)
& varia(c20,con)
& refer(c20,det)
& quant(c20,mult)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,int1)
& card(c20,cons(x_constant,cons(int1,nil)))
& sort(c20,ad)
& sort(anc_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(einrichtung_1_2,varia_c)
& refer(einrichtung_1_2,refer_c)
& quant(einrichtung_1_2,quant_c)
& gener(einrichtung_1_2,ge)
& fact(einrichtung_1_2,real)
& etype(einrichtung_1_2,int1)
& card(einrichtung_1_2,card_c)
& sort(einrichtung_1_2,io)
& sort(einrichtung_1_2,d)
& varia(c16,varia_c)
& refer(c16,indet)
& quant(c16,one)
& gener(c16,sp)
& fact(c16,real)
& etype(c16,int0)
& card(c16,int1)
& sort(c16,na)
& varia(c15,con)
& refer(c15,det)
& quant(c15,one)
& gener(c15,sp)
& fact(c15,real)
& etype(c15,int1)
& card(c15,int1)
& sort(c15,io)
& sort(c15,d)
& assoc(demokratisch__1_1,demokratie__1_1)
& val(c8,c3)
& sub(c8,jahr__1_1)
& attr(c7,c8)
& temp(c6,c7)
& subs(c6,gewinnen_1_1)
& obj(c6,c20)
& exp(c6,c15)
& subr(c322,rprs_0)
& arg2(c322,c301)
& arg1(c322,c288)
& val(c319,s__374dafrika_0)
& sub(c319,name_1_1)
& sub(c318,land_1_1)
& attr(c318,c319)
& attch(c318,c301)
& temp(c309,c280)
& subs(c309,w__344hlen_1_2)
& semrel(c309,c6)
& rslt(c309,c322)
& obj(c309,c288)
& agt(c309,c294)
& pmod(c303,erst_1_1,pr__344sident_1_1)
& sub(c301,c303)
& prop(c301,schwarz_1_1)
& sub(c294,abgeordneten_haus_1_2)
& prop(c294,neo_1_1)
& val(c290,mandela_0)
& sub(c290,familiename_1_1)
& val(c289,nelson_0)
& sub(c289,eigenname_1_1)
& sub(c288,mensch_1_1)
& attr(c288,c290)
& attr(c288,c289)
& val(c282,c279)
& sub(c282,monat_1_1)
& val(c281,c278)
& sub(c281,tag_1_1)
& attr(c280,c282)
& attr(c280,c281)
& pmod(c22,erst_1_1,wahl_1_1)
& prop(c20,demokratisch__1_1)
& preds(c20,c22)
& val(c16,anc_0)
& sub(c16,name_1_1)
& sub(c15,einrichtung_1_2)
& attr(c15,c16) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_674) ).
fof(synth_qa07_010_mira_wp_674,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subs(X7,w__344hlen_1_2)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X7,X3)
& 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_674) ).
fof(synth_qa07_010_mira_wp_674_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)
& subs(X7,w__344hlen_1_2)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X7,X3)
& 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_674]) ).
cnf(c_302,plain,
attr(c288,c289),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_303,plain,
attr(c288,c290),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_305,plain,
sub(c289,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_306,plain,
val(c289,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_307,plain,
sub(c290,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_308,plain,
val(c290,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_311,plain,
prop(c301,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_312,plain,
sub(c301,c303),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_313,plain,
pmod(c303,erst_1_1,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_315,plain,
obj(c309,c288),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_316,plain,
rslt(c309,c322),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_318,plain,
subs(c309,w__344hlen_1_2),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_321,plain,
attr(c318,c319),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_323,plain,
sub(c319,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_324,plain,
val(c319,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_325,plain,
arg1(c322,c288),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_326,plain,
arg2(c322,c301),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_327,plain,
subr(c322,rprs_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_674]) ).
cnf(c_627,negated_conjecture,
( ~ val(V7,s__374dafrika_0)
| ~ val(F,nelson_0)
| ~ val(E,mandela_0)
| ~ subs(V8,w__344hlen_1_2)
| ~ subr(B,rprs_0)
| ~ sub(V7,name_1_1)
| ~ sub(D,A)
| ~ sub(F,eigenname_1_1)
| ~ sub(E,familiename_1_1)
| ~ rslt(V8,B)
| ~ 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_674_neg]) ).
cnf(c_665,negated_conjecture,
( ~ val(F,s__374dafrika_0)
| ~ val(D,nelson_0)
| ~ val(C,mandela_0)
| ~ subs(V6,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(F,name_1_1)
| ~ sub(B,A)
| ~ sub(D,eigenname_1_1)
| ~ sub(C,familiename_1_1)
| ~ rslt(V6,c322)
| ~ prop(B,schwarz_1_1)
| ~ obj(V6,c288)
| ~ attr(E,F)
| ~ attr(c288,D)
| ~ attr(c288,C)
| ~ arg2(c322,B)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_627,c_325]) ).
cnf(c_666,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subs(F,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c301,A)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ rslt(F,c322)
| ~ prop(c301,schwarz_1_1)
| ~ obj(F,c288)
| ~ attr(D,E)
| ~ attr(c288,C)
| ~ attr(c288,B)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_665,c_326]) ).
cnf(c_667,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(E,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c301,A)
| ~ sub(B,eigenname_1_1)
| ~ sub(c290,familiename_1_1)
| ~ rslt(E,c322)
| ~ prop(c301,schwarz_1_1)
| ~ obj(E,c288)
| ~ attr(C,D)
| ~ attr(c288,B)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_666,c_303]) ).
cnf(c_668,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(D,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c301,A)
| ~ sub(c289,eigenname_1_1)
| ~ sub(c290,familiename_1_1)
| ~ rslt(D,c322)
| ~ prop(c301,schwarz_1_1)
| ~ obj(D,c288)
| ~ attr(B,C)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_667,c_302]) ).
cnf(c_669,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(B,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(c319,name_1_1)
| ~ sub(c301,A)
| ~ sub(c289,eigenname_1_1)
| ~ sub(c290,familiename_1_1)
| ~ rslt(B,c322)
| ~ prop(c301,schwarz_1_1)
| ~ obj(B,c288)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_668,c_321]) ).
cnf(c_670,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(c309,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(c319,name_1_1)
| ~ sub(c301,A)
| ~ sub(c289,eigenname_1_1)
| ~ sub(c290,familiename_1_1)
| ~ rslt(c309,c322)
| ~ prop(c301,schwarz_1_1)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_669,c_315]) ).
cnf(c_671,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(c309,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(c319,name_1_1)
| ~ sub(c301,A)
| ~ sub(c289,eigenname_1_1)
| ~ sub(c290,familiename_1_1)
| ~ rslt(c309,c322)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_670,c_311]) ).
cnf(c_672,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(c309,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(c319,name_1_1)
| ~ sub(c301,A)
| ~ sub(c289,eigenname_1_1)
| ~ sub(c290,familiename_1_1)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_671,c_316]) ).
cnf(c_673,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(c309,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(c319,name_1_1)
| ~ sub(c301,A)
| ~ sub(c289,eigenname_1_1)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_672,c_307]) ).
cnf(c_674,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(c309,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(c319,name_1_1)
| ~ sub(c301,A)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_673,c_305]) ).
cnf(c_675,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(c309,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ sub(c319,name_1_1)
| ~ pmod(c303,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_674,c_312]) ).
cnf(c_676,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(c309,w__344hlen_1_2)
| ~ subr(c322,rprs_0)
| ~ pmod(c303,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_675,c_323]) ).
cnf(c_677,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ subs(c309,w__344hlen_1_2)
| ~ pmod(c303,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_676,c_327]) ).
cnf(c_678,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ val(c290,mandela_0)
| ~ pmod(c303,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_677,c_318]) ).
cnf(c_679,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ val(c289,nelson_0)
| ~ pmod(c303,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_678,c_308]) ).
cnf(c_680,negated_conjecture,
( ~ val(c319,s__374dafrika_0)
| ~ pmod(c303,erst_1_1,pr__344sident_1_1) ),
inference(resolve,[status(thm)],[c_679,c_306]) ).
cnf(c_681,negated_conjecture,
~ pmod(c303,erst_1_1,pr__344sident_1_1),
inference(resolve,[status(thm)],[c_680,c_324]) ).
cnf(c_664,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_313,c_681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+32 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 01:15:02 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 3508387 was started by sandbox2 on n005,
% 0.12/0.36 % Sun Sep 27 01:15:02 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.30/0.63
% 1.30/0.63 % SInE (scan): 104 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10056 zapped, of 10188 axioms (depth 3).
% 1.30/0.63
% 1.30/0.63 % From the command line: assign(max_seconds, 300).
% 1.30/0.63
% 1.30/0.63 % SZS status Theorem for theBenchmark
% 1.30/0.63
% 1.30/0.63 % Proof 1 at 0.12 (+ 0.03) seconds.
% 1.30/0.63 % Length of proof is 22.
% 1.30/0.63 % Level of proof is 2.
% 1.30/0.63 % Maximum clause weight is 57.000.
% 1.30/0.63 % Given clauses 95.
% 1.30/0.63
% 1.30/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------