%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR116+33 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 07:04:54 AM UTC 2026
% Result : Theorem 68.20s 10.75s
% Output : CNFRefutation 68.20s
% 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 : 89 ( 21 sgn 0 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_010_mira_wp_676,hypothesis,
( varia('demokratie$u$u1$u1','varia$uc')
& refer('demokratie$u$u1$u1','refer$uc')
& quant('demokratie$u$u1$u1',one)
& gener('demokratie$u$u1$u1',ge)
& fact('demokratie$u$u1$u1',real)
& etype('demokratie$u$u1$u1',int0)
& card('demokratie$u$u1$u1',int1)
& sort('demokratie$u$u1$u1',io)
& varia('gewinn$u2$u1','varia$uc')
& refer('gewinn$u2$u1','refer$uc')
& quant('gewinn$u2$u1',one)
& gener('gewinn$u2$u1',ge)
& fact('gewinn$u2$u1',real)
& etype('gewinn$u2$u1',int0)
& card('gewinn$u2$u1',int1)
& sort('gewinn$u2$u1',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$u0','gener$uc')
& fact('rprs$u0',real)
& sort('rprs$u0',st)
& gener('w$u$u344hlen$u1$u2',ge)
& fact('w$u$u344hlen$u1$u2',real)
& sort('w$u$u344hlen$u1$u2',da)
& gener(c55,sp)
& fact(c55,real)
& sort(c55,st)
& gener(c43,sp)
& fact(c43,real)
& sort(c43,da)
& varia('pr$u$u344sident$u1$u1','varia$uc')
& refer('pr$u$u344sident$u1$u1','refer$uc')
& quant('pr$u$u344sident$u1$u1',one)
& gener('pr$u$u344sident$u1$u1',ge)
& fact('pr$u$u344sident$u1$u1',real)
& etype('pr$u$u344sident$u1$u1',int0)
& card('pr$u$u344sident$u1$u1',int1)
& sort('pr$u$u344sident$u1$u1',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$u0',fe)
& varia('familiename$u1$u1','varia$uc')
& refer('familiename$u1$u1','refer$uc')
& quant('familiename$u1$u1',one)
& gener('familiename$u1$u1',ge)
& fact('familiename$u1$u1',real)
& etype('familiename$u1$u1',int0)
& card('familiename$u1$u1',int1)
& sort('familiename$u1$u1',na)
& sort('nelson$u0',fe)
& varia('eigenname$u1$u1','varia$uc')
& refer('eigenname$u1$u1','refer$uc')
& quant('eigenname$u1$u1',one)
& gener('eigenname$u1$u1',ge)
& fact('eigenname$u1$u1',real)
& etype('eigenname$u1$u1',int0)
& card('eigenname$u1$u1',int1)
& sort('eigenname$u1$u1',na)
& varia('mensch$u1$u1','varia$uc')
& refer('mensch$u1$u1','refer$uc')
& quant('mensch$u1$u1',one)
& gener('mensch$u1$u1',ge)
& fact('mensch$u1$u1',real)
& etype('mensch$u1$u1',int0)
& card('mensch$u1$u1',int1)
& sort('mensch$u1$u1',d)
& varia(c35,'varia$uc')
& refer(c35,indet)
& quant(c35,one)
& gener(c35,sp)
& fact(c35,real)
& etype(c35,int0)
& card(c35,int1)
& sort(c35,na)
& varia(c34,'varia$uc')
& 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$u$u374dafrika$u0',fe)
& varia('land$u1$u1','varia$uc')
& refer('land$u1$u1','refer$uc')
& quant('land$u1$u1',one)
& gener('land$u1$u1',ge)
& fact('land$u1$u1',real)
& etype('land$u1$u1',int0)
& card('land$u1$u1',int1)
& sort('land$u1$u1',io)
& sort('land$u1$u1',d)
& varia(c29,'varia$uc')
& 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$u1$u1','varia$uc')
& refer('wahl$u1$u1','refer$uc')
& quant('wahl$u1$u1',one)
& gener('wahl$u1$u1',ge)
& fact('wahl$u1$u1',real)
& etype('wahl$u1$u1',int0)
& card('wahl$u1$u1',int1)
& sort('wahl$u1$u1',ad)
& card('erst$u1$u1',int1)
& sort('erst$u1$u1',oq)
& sort('demokratisch$u$u1$u1',nq)
& varia(c22,'varia$uc')
& refer(c22,'refer$uc')
& quant(c22,one)
& gener(c22,ge)
& fact(c22,real)
& etype(c22,int0)
& card(c22,int1)
& sort(c22,ad)
& varia(c54,con)
& refer(c54,det)
& quant(c54,one)
& gener(c54,sp)
& fact(c54,real)
& etype(c54,int0)
& card(c54,int1)
& sort(c54,l)
& varia(c20,con)
& refer(c20,det)
& quant(c20,mult)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,int1)
& card(c20,cons('x$uconstant',cons(int1,nil)))
& sort(c20,ad)
& sort('anc$u0',fe)
& varia('name$u1$u1','varia$uc')
& refer('name$u1$u1','refer$uc')
& quant('name$u1$u1',one)
& gener('name$u1$u1',ge)
& fact('name$u1$u1',real)
& etype('name$u1$u1',int0)
& card('name$u1$u1',int1)
& sort('name$u1$u1',na)
& varia('einrichtung$u1$u2','varia$uc')
& refer('einrichtung$u1$u2','refer$uc')
& quant('einrichtung$u1$u2','quant$uc')
& gener('einrichtung$u1$u2',ge)
& fact('einrichtung$u1$u2',real)
& etype('einrichtung$u1$u2',int1)
& card('einrichtung$u1$u2','card$uc')
& sort('einrichtung$u1$u2',io)
& sort('einrichtung$u1$u2',d)
& varia(c14,'varia$uc')
& 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$u$u1$u1','demokratie$u$u1$u1')
& subs(c7,'gewinn$u2$u1')
& exp(c7,c13)
& circ(c7,c20)
& ante(c7,c43)
& subr(c55,'rprs$u0')
& arg2(c55,c38)
& arg1(c55,c33)
& in(c54,c28)
& subs(c43,'w$u$u344hlen$u1$u2')
& rslt(c43,c55)
& obj(c43,c33)
& sub(c38,'pr$u$u344sident$u1$u1')
& val(c35,'mandela$u0')
& sub(c35,'familiename$u1$u1')
& val(c34,'nelson$u0')
& sub(c34,'eigenname$u1$u1')
& sub(c33,'mensch$u1$u1')
& attr(c33,c35)
& attr(c33,c34)
& val(c29,'s$u$u374dafrika$u0')
& sub(c29,'name$u1$u1')
& sub(c28,'land$u1$u1')
& attr(c28,c29)
& pmod(c22,'erst$u1$u1','wahl$u1$u1')
& prop(c20,'demokratisch$u$u1$u1')
& preds(c20,c22)
& loc(c20,c54)
& val(c14,'anc$u0')
& sub(c14,'name$u1$u1')
& sub(c13,'einrichtung$u1$u2')
& attr(c13,c14) ) ).
fof(synth_qa07_010_mira_wp_676,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,'s$u$u374dafrika$u0')
& val(X2,'nelson$u0')
& val(X1,'mandela$u0')
& subs(X8,'w$u$u344hlen$u1$u2')
& subr(X3,'rprs$u0')
& sub(X7,'name$u1$u1')
& sub(X4,X9)
& sub(X2,'eigenname$u1$u1')
& sub(X1,'familiename$u1$u1')
& rslt(X8,X3)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,'s$u$u374dafrika$u0')
& val(X2,'nelson$u0')
& val(X1,'mandela$u0')
& subs(X8,'w$u$u344hlen$u1$u2')
& subr(X3,'rprs$u0')
& sub(X7,'name$u1$u1')
& sub(X4,X9)
& sub(X2,'eigenname$u1$u1')
& sub(X1,'familiename$u1$u1')
& 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(negate_conjecture,[status(cth)],[synth_qa07_010_mira_wp_676]) ).
cnf(c8,plain,
attr(c28,c29),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c10,plain,
sub(c29,'name$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c11,plain,
val(c29,'s$u$u374dafrika$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c12,plain,
attr(c33,c34),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c13,plain,
attr(c33,c35),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c15,plain,
sub(c34,'eigenname$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c16,plain,
val(c34,'nelson$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c17,plain,
sub(c35,'familiename$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c18,plain,
val(c35,'mandela$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c19,plain,
sub(c38,'pr$u$u344sident$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c20,plain,
obj(c43,c33),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c21,plain,
rslt(c43,c55),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c22,plain,
subs(c43,'w$u$u344hlen$u1$u2'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c23,plain,
in(c54,c28),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c24,plain,
arg1(c55,c33),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c25,plain,
arg2(c55,c38),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c26,plain,
subr(c55,'rprs$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_wp_676]) ).
cnf(c487,plain,
( ~ val(X4,'nelson$u0')
| ~ sub(X5,'familiename$u1$u1')
| ~ attr(X1,X4)
| ~ arg2(X0,X2)
| ~ subs(X8,'w$u$u344hlen$u1$u2')
| ~ val(X9,'s$u$u374dafrika$u0')
| ~ val(X5,'mandela$u0')
| ~ attr(X7,X9)
| ~ sub(X9,'name$u1$u1')
| ~ obj(X8,X1)
| ~ rslt(X8,X0)
| ~ in(X6,X7)
| ~ attr(X1,X5)
| ~ sub(X4,'eigenname$u1$u1')
| ~ sub(X2,X3)
| ~ subr(X0,'rprs$u0')
| ~ arg1(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ arg2(c55,X5)
| ~ arg1(c55,X2)
| ~ in(X8,X0)
| ~ subs(X7,'w$u$u344hlen$u1$u2')
| ~ rslt(X7,c55)
| ~ obj(X7,X2)
| ~ val(X1,'s$u$u374dafrika$u0')
| ~ val(X4,'nelson$u0')
| ~ val(X3,'mandela$u0')
| ~ sub(X1,'name$u1$u1')
| ~ sub(X4,'eigenname$u1$u1')
| ~ sub(X3,'familiename$u1$u1')
| ~ sub(X5,X6)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[c487,c26]) ).
cnf(d1,plain,
( ~ arg1(c55,X0)
| ~ in(X7,X3)
| ~ subs(X6,'w$u$u344hlen$u1$u2')
| ~ rslt(X6,c55)
| ~ obj(X6,X0)
| ~ val(X4,'s$u$u374dafrika$u0')
| ~ val(X2,'mandela$u0')
| ~ val(X1,'nelson$u0')
| ~ sub(X4,'name$u1$u1')
| ~ sub(X2,'familiename$u1$u1')
| ~ sub(X1,'eigenname$u1$u1')
| ~ sub(c38,X5)
| ~ attr(X3,X4)
| ~ attr(X0,X2)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[d0,c25]) ).
cnf(d2,plain,
( ~ in(X6,X0)
| ~ subs(X5,'w$u$u344hlen$u1$u2')
| ~ rslt(X5,c55)
| ~ obj(X5,c33)
| ~ val(X3,'nelson$u0')
| ~ val(X2,'mandela$u0')
| ~ val(X1,'s$u$u374dafrika$u0')
| ~ sub(c38,X4)
| ~ sub(X3,'eigenname$u1$u1')
| ~ sub(X2,'familiename$u1$u1')
| ~ sub(X1,'name$u1$u1')
| ~ attr(c33,X3)
| ~ attr(c33,X2)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[d1,c24]) ).
cnf(d3,plain,
( ~ subs(X4,'w$u$u344hlen$u1$u2')
| ~ rslt(X4,c55)
| ~ obj(X4,c33)
| ~ val(X0,'s$u$u374dafrika$u0')
| ~ val(X2,'mandela$u0')
| ~ val(X1,'nelson$u0')
| ~ sub(c38,X3)
| ~ sub(X0,'name$u1$u1')
| ~ sub(X2,'familiename$u1$u1')
| ~ sub(X1,'eigenname$u1$u1')
| ~ attr(c33,X2)
| ~ attr(c33,X1)
| ~ attr(c28,X0) ),
inference(resolution,[status(thm)],[d2,c23]) ).
cnf(d4,plain,
( ~ rslt(c43,c55)
| ~ obj(c43,c33)
| ~ val(X0,'s$u$u374dafrika$u0')
| ~ val(X2,'nelson$u0')
| ~ val(X1,'mandela$u0')
| ~ sub(c38,X3)
| ~ sub(X0,'name$u1$u1')
| ~ sub(X2,'eigenname$u1$u1')
| ~ sub(X1,'familiename$u1$u1')
| ~ attr(c33,X2)
| ~ attr(c33,X1)
| ~ attr(c28,X0) ),
inference(resolution,[status(thm)],[d3,c22]) ).
cnf(d5,plain,
( ~ rslt(c43,c55)
| ~ val(X0,'s$u$u374dafrika$u0')
| ~ val(X2,'mandela$u0')
| ~ val(X1,'nelson$u0')
| ~ sub(c38,X3)
| ~ sub(X0,'name$u1$u1')
| ~ sub(X2,'familiename$u1$u1')
| ~ sub(X1,'eigenname$u1$u1')
| ~ attr(c33,X2)
| ~ attr(c33,X1)
| ~ attr(c28,X0) ),
inference(resolution,[status(thm)],[c20,d4]) ).
cnf(d6,plain,
( ~ val(X0,'s$u$u374dafrika$u0')
| ~ val(X2,'nelson$u0')
| ~ val(X1,'mandela$u0')
| ~ sub(c38,X3)
| ~ sub(X0,'name$u1$u1')
| ~ sub(X2,'eigenname$u1$u1')
| ~ sub(X1,'familiename$u1$u1')
| ~ attr(c33,X2)
| ~ attr(c33,X1)
| ~ attr(c28,X0) ),
inference(resolution,[status(thm)],[c21,d5]) ).
cnf(d7,plain,
( ~ val(X1,'mandela$u0')
| ~ val(X0,'nelson$u0')
| ~ sub(c38,X2)
| ~ sub(c29,'name$u1$u1')
| ~ sub(X1,'familiename$u1$u1')
| ~ sub(X0,'eigenname$u1$u1')
| ~ attr(c33,X1)
| ~ attr(c33,X0)
| ~ attr(c28,c29) ),
inference(resolution,[status(thm)],[d6,c11]) ).
cnf(d8,plain,
( ~ val(X1,'nelson$u0')
| ~ val(X0,'mandela$u0')
| ~ sub(c38,X2)
| ~ sub(c29,'name$u1$u1')
| ~ sub(X1,'eigenname$u1$u1')
| ~ sub(X0,'familiename$u1$u1')
| ~ attr(c33,X1)
| ~ attr(c33,X0) ),
inference(resolution,[status(thm)],[c8,d7]) ).
cnf(d9,plain,
( ~ val(X1,'mandela$u0')
| ~ val(X0,'nelson$u0')
| ~ sub(c38,X2)
| ~ sub(X1,'familiename$u1$u1')
| ~ sub(X0,'eigenname$u1$u1')
| ~ attr(c33,X1)
| ~ attr(c33,X0) ),
inference(resolution,[status(thm)],[c10,d8]) ).
cnf(d10,plain,
( ~ val(X0,'mandela$u0')
| ~ sub(c38,X1)
| ~ sub(c34,'eigenname$u1$u1')
| ~ sub(X0,'familiename$u1$u1')
| ~ attr(c33,c34)
| ~ attr(c33,X0) ),
inference(resolution,[status(thm)],[d9,c16]) ).
cnf(d11,plain,
( ~ val(X0,'mandela$u0')
| ~ sub(c38,X1)
| ~ sub(c34,'eigenname$u1$u1')
| ~ sub(X0,'familiename$u1$u1')
| ~ attr(c33,X0) ),
inference(resolution,[status(thm)],[c12,d10]) ).
cnf(d12,plain,
( ~ val(X0,'mandela$u0')
| ~ sub(c38,X1)
| ~ sub(X0,'familiename$u1$u1')
| ~ attr(c33,X0) ),
inference(resolution,[status(thm)],[c15,d11]) ).
cnf(d13,plain,
( ~ sub(c38,X0)
| ~ sub(c35,'familiename$u1$u1')
| ~ attr(c33,c35) ),
inference(resolution,[status(thm)],[d12,c18]) ).
cnf(d14,plain,
( ~ sub(c38,X0)
| ~ sub(c35,'familiename$u1$u1') ),
inference(resolution,[status(thm)],[c13,d13]) ).
cnf(d15,plain,
~ sub(c38,X0),
inference(resolution,[status(thm)],[c17,d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,c19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+33 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.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 01:20:01 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.20/10.75 % SZS status Theorem for theBenchmark.p
% 68.20/10.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------