%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+33 : 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 : n006.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 0.66s 0.48s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 436 ( 0 equ)
% Maximal formula atoms : 231 ( 11 avg)
% Number of connectives : 552 ( 154 ~; 136 |; 262 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 231 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 60 ( 60 usr; 59 con; 0-2 aty)
% Number of variables : 62 ( 12 sgn 0 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_010_mira_wp_676,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)
& varia(gewinn_2_1,varia_c)
& refer(gewinn_2_1,refer_c)
& quant(gewinn_2_1,one)
& gener(gewinn_2_1,ge)
& fact(gewinn_2_1,real)
& etype(gewinn_2_1,int0)
& card(gewinn_2_1,int1)
& sort(gewinn_2_1,ad)
& varia(c7,con)
& refer(c7,det)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,ad)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& gener(w__344hlen_1_2,ge)
& fact(w__344hlen_1_2,real)
& sort(w__344hlen_1_2,da)
& gener(c55,sp)
& fact(c55,real)
& sort(c55,st)
& gener(c43,sp)
& fact(c43,real)
& sort(c43,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(c38,con)
& refer(c38,det)
& quant(c38,one)
& gener(c38,sp)
& fact(c38,real)
& etype(c38,int0)
& card(c38,int1)
& sort(c38,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(c35,varia_c)
& refer(c35,indet)
& quant(c35,one)
& gener(c35,sp)
& fact(c35,real)
& etype(c35,int0)
& card(c35,int1)
& sort(c35,na)
& varia(c34,varia_c)
& refer(c34,indet)
& quant(c34,one)
& gener(c34,sp)
& fact(c34,real)
& etype(c34,int0)
& card(c34,int1)
& sort(c34,na)
& varia(c33,con)
& refer(c33,det)
& quant(c33,one)
& gener(c33,sp)
& fact(c33,real)
& etype(c33,int0)
& card(c33,int1)
& sort(c33,d)
& 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(c29,varia_c)
& refer(c29,indet)
& quant(c29,one)
& gener(c29,sp)
& fact(c29,real)
& etype(c29,int0)
& card(c29,int1)
& sort(c29,na)
& varia(c28,con)
& refer(c28,det)
& quant(c28,one)
& gener(c28,sp)
& fact(c28,real)
& etype(c28,int0)
& card(c28,int1)
& sort(c28,io)
& sort(c28,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)
& 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(c54,con)
& refer(c54,det)
& quant(c54,one)
& gener(c54,sp)
& fact(c54,real)
& etype(c54,int0)
& card(c54,int1)
& sort(c54,l)
& 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(c14,varia_c)
& refer(c14,indet)
& quant(c14,one)
& gener(c14,sp)
& fact(c14,real)
& etype(c14,int0)
& card(c14,int1)
& sort(c14,na)
& varia(c13,con)
& refer(c13,det)
& quant(c13,one)
& gener(c13,sp)
& fact(c13,real)
& etype(c13,int1)
& card(c13,int1)
& sort(c13,io)
& sort(c13,d)
& assoc(demokratisch__1_1,demokratie__1_1)
& subs(c7,gewinn_2_1)
& exp(c7,c13)
& circ(c7,c20)
& ante(c7,c43)
& subr(c55,rprs_0)
& arg2(c55,c38)
& arg1(c55,c33)
& in(c54,c28)
& subs(c43,w__344hlen_1_2)
& rslt(c43,c55)
& obj(c43,c33)
& sub(c38,pr__344sident_1_1)
& val(c35,mandela_0)
& sub(c35,familiename_1_1)
& val(c34,nelson_0)
& sub(c34,eigenname_1_1)
& sub(c33,mensch_1_1)
& attr(c33,c35)
& attr(c33,c34)
& val(c29,s__374dafrika_0)
& sub(c29,name_1_1)
& sub(c28,land_1_1)
& attr(c28,c29)
& pmod(c22,erst_1_1,wahl_1_1)
& prop(c20,demokratisch__1_1)
& preds(c20,c22)
& loc(c20,c54)
& val(c14,anc_0)
& sub(c14,name_1_1)
& sub(c13,einrichtung_1_2)
& attr(c13,c14) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_676) ).
fof(synth_qa07_010_mira_wp_676,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subs(X8,w__344hlen_1_2)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X8,X3)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
file('theBenchmark.p',synth_qa07_010_mira_wp_676) ).
fof(synth_qa07_010_mira_wp_676_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subs(X8,w__344hlen_1_2)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X8,X3)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_wp_676]) ).
cnf(c_292,plain,
attr(c28,c29),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_294,plain,
sub(c29,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_295,plain,
val(c29,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_296,plain,
attr(c33,c34),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_297,plain,
attr(c33,c35),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_299,plain,
sub(c34,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_300,plain,
val(c34,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_301,plain,
sub(c35,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_302,plain,
val(c35,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_303,plain,
sub(c38,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_304,plain,
obj(c43,c33),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_305,plain,
rslt(c43,c55),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_306,plain,
subs(c43,w__344hlen_1_2),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_307,plain,
in(c54,c28),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_308,plain,
arg1(c55,c33),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_309,plain,
arg2(c55,c38),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_310,plain,
subr(c55,rprs_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c_515,negated_conjecture,
( ~ val(V7,s__374dafrika_0)
| ~ val(V6,nelson_0)
| ~ val(F,mandela_0)
| ~ subs(V8,w__344hlen_1_2)
| ~ subr(C,rprs_0)
| ~ sub(V7,name_1_1)
| ~ sub(E,V9)
| ~ sub(V6,eigenname_1_1)
| ~ sub(F,familiename_1_1)
| ~ rslt(V8,C)
| ~ obj(V8,D)
| ~ attr(B,V7)
| ~ attr(D,V6)
| ~ attr(D,F)
| ~ arg2(C,E)
| ~ arg1(C,D)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_wp_676_neg]) ).
cnf(c_540,negated_conjecture,
( ~ val(F,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subs(V6,w__344hlen_1_2)
| ~ subr(A,rprs_0)
| ~ sub(F,name_1_1)
| ~ sub(C,V7)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ rslt(V6,A)
| ~ obj(V6,B)
| ~ attr(c28,F)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_515,c_307]) ).
cnf(c_541,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subs(E,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(A,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ rslt(E,c55)
| ~ obj(E,c33)
| ~ attr(c28,D)
| ~ attr(c33,C)
| ~ attr(c33,B)
| ~ arg2(c55,A) ),
inference(resolve,[status(thm)],[c_540,c_308]) ).
cnf(c_542,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(A,mandela_0)
| ~ subs(D,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c38,E)
| ~ sub(B,eigenname_1_1)
| ~ sub(A,familiename_1_1)
| ~ rslt(D,c55)
| ~ obj(D,c33)
| ~ attr(c28,C)
| ~ attr(c33,B)
| ~ attr(c33,A) ),
inference(resolve,[status(thm)],[c_541,c_309]) ).
cnf(c_543,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(C,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c38,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c35,familiename_1_1)
| ~ rslt(C,c55)
| ~ obj(C,c33)
| ~ attr(c28,B)
| ~ attr(c33,A) ),
inference(resolve,[status(thm)],[c_542,c_297]) ).
cnf(c_544,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(B,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c38,C)
| ~ sub(c34,eigenname_1_1)
| ~ sub(c35,familiename_1_1)
| ~ rslt(B,c55)
| ~ obj(B,c33)
| ~ attr(c28,A) ),
inference(resolve,[status(thm)],[c_543,c_296]) ).
cnf(c_545,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(A,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(c29,name_1_1)
| ~ sub(c38,B)
| ~ sub(c34,eigenname_1_1)
| ~ sub(c35,familiename_1_1)
| ~ rslt(A,c55)
| ~ obj(A,c33) ),
inference(resolve,[status(thm)],[c_544,c_292]) ).
cnf(c_546,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(c43,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(c29,name_1_1)
| ~ sub(c38,A)
| ~ sub(c34,eigenname_1_1)
| ~ sub(c35,familiename_1_1)
| ~ rslt(c43,c55) ),
inference(resolve,[status(thm)],[c_545,c_304]) ).
cnf(c_547,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(c43,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(c29,name_1_1)
| ~ sub(c38,A)
| ~ sub(c34,eigenname_1_1)
| ~ sub(c35,familiename_1_1) ),
inference(resolve,[status(thm)],[c_546,c_305]) ).
cnf(c_548,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(c43,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(c29,name_1_1)
| ~ sub(c38,A)
| ~ sub(c34,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_547,c_301]) ).
cnf(c_549,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(c43,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(c29,name_1_1)
| ~ sub(c38,A) ),
inference(resolve,[status(thm)],[c_548,c_299]) ).
cnf(c_550,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(c43,w__344hlen_1_2)
| ~ subr(c55,rprs_0)
| ~ sub(c29,name_1_1) ),
inference(resolve,[status(thm)],[c_549,c_303]) ).
cnf(c_551,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subs(c43,w__344hlen_1_2)
| ~ subr(c55,rprs_0) ),
inference(resolve,[status(thm)],[c_550,c_294]) ).
cnf(c_552,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ val(c35,mandela_0)
| ~ subr(c55,rprs_0) ),
inference(resolve,[status(thm)],[c_551,c_306]) ).
cnf(c_553,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ val(c34,nelson_0)
| ~ subr(c55,rprs_0) ),
inference(resolve,[status(thm)],[c_552,c_302]) ).
cnf(c_554,negated_conjecture,
( ~ val(c29,s__374dafrika_0)
| ~ subr(c55,rprs_0) ),
inference(resolve,[status(thm)],[c_553,c_300]) ).
cnf(c_555,negated_conjecture,
~ subr(c55,rprs_0),
inference(resolve,[status(thm)],[c_554,c_295]) ).
cnf(c_539,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_310,c_555]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+33 : 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 : n006.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
% 0.08/0.36 % DateTime : Sun Sep 27 01:14:55 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 2491674 was started by sandbox2 on n006,
% 0.08/0.36 % Sun Sep 27 01:14:55 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.66/0.48
% 0.66/0.48 % SInE (scan): 96 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10064 zapped, of 10188 axioms (depth 3).
% 0.66/0.48
% 0.66/0.48 % From the command line: assign(max_seconds, 300).
% 0.66/0.48
% 0.66/0.48 % SZS status Theorem for theBenchmark
% 0.66/0.48
% 0.66/0.48 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.66/0.48 % Length of proof is 21.
% 0.66/0.48 % Level of proof is 2.
% 0.66/0.48 % Maximum clause weight is 53.000.
% 0.66/0.48 % Given clauses 63.
% 0.66/0.48
% 0.66/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
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