%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR116+44 : 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 : n003.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 07:04:56 AM UTC 2026
% Result : Theorem 57.94s 12.32s
% Output : CNFRefutation 57.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 36 ( 18 unt; 0 def)
% Number of atoms : 358 ( 0 equ)
% Maximal formula atoms : 173 ( 9 avg)
% Number of connectives : 459 ( 137 ~; 120 |; 202 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 173 ( 11 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 46 con; 0-0 aty)
% Number of variables : 91 ( 29 sgn 0 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_010_mn3_310,hypothesis,
( 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)
& 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(c8,'varia$uc')
& refer(c8,indet)
& quant(c8,one)
& gener(c8,sp)
& fact(c8,real)
& etype(c8,int0)
& card(c8,int1)
& sort(c8,na)
& varia(c7,'varia$uc')
& refer(c7,indet)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,na)
& gener('rprs$u0','gener$uc')
& fact('rprs$u0',real)
& sort('rprs$u0',st)
& sort('s$u$u374dafrika$u0',fe)
& varia('name$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$u1',na)
& varia('land$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$u1',d)
& varia(c38,'varia$uc')
& refer(c38,indet)
& quant(c38,one)
& gener(c38,sp)
& fact(c38,real)
& etype(c38,int0)
& card(c38,int1)
& sort(c38,na)
& varia(c37,con)
& refer(c37,det)
& quant(c37,one)
& gener(c37,sp)
& fact(c37,real)
& etype(c37,int0)
& card(c37,int1)
& sort(c37,io)
& sort(c37,d)
& gener('ernennen$u1$u2',ge)
& fact('ernennen$u1$u2',real)
& sort('ernennen$u1$u2',da)
& gener(c42,sp)
& fact(c42,real)
& sort(c42,st)
& varia(c6,con)
& refer(c6,det)
& quant(c6,one)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& sort(c6,d)
& gener(c27,sp)
& fact(c27,real)
& sort(c27,da)
& varia('staatpr$u$u344sident$u1$u1','varia$uc')
& refer('staatpr$u$u344sident$u1$u1','refer$uc')
& quant('staatpr$u$u344sident$u1$u1',one)
& gener('staatpr$u$u344sident$u1$u1',ge)
& fact('staatpr$u$u344sident$u1$u1',real)
& etype('staatpr$u$u344sident$u1$u1',int0)
& card('staatpr$u$u344sident$u1$u1',int1)
& sort('staatpr$u$u344sident$u1$u1',d)
& card('erst$u1$u1',int1)
& sort('erst$u1$u1',oq)
& varia(c25,'varia$uc')
& refer(c25,'refer$uc')
& quant(c25,one)
& gener(c25,ge)
& fact(c25,real)
& etype(c25,int0)
& card(c25,int1)
& sort(c25,d)
& sort('schwarz$u1$u1',tq)
& varia(c23,con)
& refer(c23,det)
& quant(c23,one)
& gener(c23,sp)
& fact(c23,real)
& etype(c23,int0)
& card(c23,int1)
& sort(c23,d)
& varia('montag$u$u1$u1','varia$uc')
& refer('montag$u$u1$u1','refer$uc')
& quant('montag$u$u1$u1',one)
& gener('montag$u$u1$u1',ge)
& fact('montag$u$u1$u1',real)
& etype('montag$u$u1$u1',int0)
& card('montag$u$u1$u1',int1)
& sort('montag$u$u1$u1',ta)
& varia(c16,con)
& refer(c16,det)
& quant(c16,one)
& gener(c16,sp)
& fact(c16,real)
& etype(c16,int0)
& card(c16,int1)
& sort(c16,ta)
& sub('staatpr$u$u344sident$u1$u1','pr$u$u344sident$u1$u1')
& assoc('staatpr$u$u344sident$u1$u1','land$u1$u1')
& val(c8,'mandela$u0')
& sub(c8,'familiename$u1$u1')
& val(c7,'nelson$u0')
& sub(c7,'eigenname$u1$u1')
& sub(c6,'mensch$u1$u1')
& attr(c6,c8)
& attr(c6,c7)
& subr(c42,'rprs$u0')
& arg2(c42,c23)
& arg1(c42,c6)
& val(c38,'s$u$u374dafrika$u0')
& sub(c38,'name$u1$u1')
& sub(c37,'land$u1$u1')
& attr(c37,c38)
& attch(c37,c23)
& temp(c27,c16)
& subs(c27,'ernennen$u1$u2')
& rslt(c27,c42)
& obj(c27,c6)
& pmod(c25,'erst$u1$u1','staatpr$u$u344sident$u1$u1')
& sub(c23,c25)
& prop(c23,'schwarz$u1$u1')
& sub(c16,'montag$u$u1$u1') ) ).
fof(synth_qa07_010_mn3_310,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,'s$u$u374dafrika$u0')
& val(X2,'nelson$u0')
& val(X1,'mandela$u0')
& subr(X3,'rprs$u0')
& sub(X6,'name$u1$u1')
& sub(X4,X8)
& sub(X2,'eigenname$u1$u1')
& sub(X1,'familiename$u1$u1')
& rslt(X7,X3)
& prop(X4,'schwarz$u1$u1')
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,'s$u$u374dafrika$u0')
& val(X2,'nelson$u0')
& val(X1,'mandela$u0')
& subr(X3,'rprs$u0')
& sub(X6,'name$u1$u1')
& sub(X4,X8)
& sub(X2,'eigenname$u1$u1')
& sub(X1,'familiename$u1$u1')
& rslt(X7,X3)
& prop(X4,'schwarz$u1$u1')
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
inference(negate_conjecture,[status(cth)],[synth_qa07_010_mn3_310]) ).
cnf(c1,plain,
prop(c23,'schwarz$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c2,plain,
sub(c23,c25),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c4,plain,
obj(c27,c6),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c5,plain,
rslt(c27,c42),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c9,plain,
attr(c37,c38),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c11,plain,
sub(c38,'name$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c12,plain,
val(c38,'s$u$u374dafrika$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c13,plain,
arg1(c42,c6),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c14,plain,
arg2(c42,c23),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c15,plain,
subr(c42,'rprs$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c16,plain,
attr(c6,c7),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c17,plain,
attr(c6,c8),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c19,plain,
sub(c7,'eigenname$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c20,plain,
val(c7,'nelson$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c21,plain,
sub(c8,'familiename$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c22,plain,
val(c8,'mandela$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mn3_310]) ).
cnf(c413,plain,
( ~ attr(X2,X7)
| ~ val(X5,'s$u$u374dafrika$u0')
| ~ sub(X6,'eigenname$u1$u1')
| ~ sub(X7,'familiename$u1$u1')
| ~ arg1(X3,X2)
| ~ subr(X3,'rprs$u0')
| ~ arg2(X3,X0)
| ~ sub(X0,X8)
| ~ val(X7,'mandela$u0')
| ~ val(X6,'nelson$u0')
| ~ attr(X2,X6)
| ~ sub(X5,'name$u1$u1')
| ~ attr(X4,X5)
| ~ rslt(X1,X3)
| ~ obj(X1,X2)
| ~ prop(X0,'schwarz$u1$u1') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ arg2(c42,X2)
| ~ arg1(c42,X6)
| ~ val(X4,'nelson$u0')
| ~ val(X1,'mandela$u0')
| ~ val(X0,'s$u$u374dafrika$u0')
| ~ attr(X6,X4)
| ~ attr(X6,X1)
| ~ attr(X7,X0)
| ~ rslt(X5,c42)
| ~ obj(X5,X6)
| ~ prop(X2,'schwarz$u1$u1')
| ~ sub(X4,'eigenname$u1$u1')
| ~ sub(X2,X3)
| ~ sub(X1,'familiename$u1$u1')
| ~ sub(X0,'name$u1$u1') ),
inference(resolution,[status(thm)],[c413,c15]) ).
cnf(d1,plain,
( ~ arg1(c42,X5)
| ~ val(X3,'s$u$u374dafrika$u0')
| ~ val(X2,'mandela$u0')
| ~ val(X0,'nelson$u0')
| ~ attr(X5,X2)
| ~ attr(X5,X0)
| ~ attr(X6,X3)
| ~ rslt(X4,c42)
| ~ obj(X4,X5)
| ~ prop(c23,'schwarz$u1$u1')
| ~ sub(X3,'name$u1$u1')
| ~ sub(X2,'familiename$u1$u1')
| ~ sub(c23,X1)
| ~ sub(X0,'eigenname$u1$u1') ),
inference(resolution,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
( ~ arg1(c42,X5)
| ~ val(X2,'nelson$u0')
| ~ val(X1,'mandela$u0')
| ~ val(X0,'s$u$u374dafrika$u0')
| ~ attr(X5,X2)
| ~ attr(X5,X1)
| ~ attr(X6,X0)
| ~ rslt(X4,c42)
| ~ obj(X4,X5)
| ~ sub(c23,X3)
| ~ sub(X2,'eigenname$u1$u1')
| ~ sub(X1,'familiename$u1$u1')
| ~ sub(X0,'name$u1$u1') ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( ~ val(X2,'s$u$u374dafrika$u0')
| ~ val(X1,'mandela$u0')
| ~ val(X0,'nelson$u0')
| ~ attr(c6,X1)
| ~ attr(c6,X0)
| ~ attr(X5,X2)
| ~ rslt(X4,c42)
| ~ obj(X4,c6)
| ~ sub(c23,X3)
| ~ sub(X2,'name$u1$u1')
| ~ sub(X1,'familiename$u1$u1')
| ~ sub(X0,'eigenname$u1$u1') ),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d4,plain,
( ~ val(X1,'mandela$u0')
| ~ val(X0,'s$u$u374dafrika$u0')
| ~ attr(c6,c7)
| ~ attr(c6,X1)
| ~ attr(X4,X0)
| ~ rslt(X3,c42)
| ~ obj(X3,c6)
| ~ sub(c23,X2)
| ~ sub(c7,'eigenname$u1$u1')
| ~ sub(X1,'familiename$u1$u1')
| ~ sub(X0,'name$u1$u1') ),
inference(resolution,[status(thm)],[d3,c20]) ).
cnf(d5,plain,
( ~ val(X1,'s$u$u374dafrika$u0')
| ~ val(X0,'mandela$u0')
| ~ attr(c6,X0)
| ~ attr(X4,X1)
| ~ rslt(X3,c42)
| ~ obj(X3,c6)
| ~ sub(c7,'eigenname$u1$u1')
| ~ sub(c23,X2)
| ~ sub(X1,'name$u1$u1')
| ~ sub(X0,'familiename$u1$u1') ),
inference(resolution,[status(thm)],[c16,d4]) ).
cnf(d6,plain,
( ~ val(X1,'mandela$u0')
| ~ val(X0,'s$u$u374dafrika$u0')
| ~ attr(c6,X1)
| ~ attr(X4,X0)
| ~ rslt(X3,c42)
| ~ obj(X3,c6)
| ~ sub(c23,X2)
| ~ sub(X1,'familiename$u1$u1')
| ~ sub(X0,'name$u1$u1') ),
inference(resolution,[status(thm)],[c19,d5]) ).
cnf(d7,plain,
( ~ val(X0,'mandela$u0')
| ~ attr(c6,X0)
| ~ attr(X3,c38)
| ~ rslt(X2,c42)
| ~ obj(X2,c6)
| ~ sub(c23,X1)
| ~ sub(c38,'name$u1$u1')
| ~ sub(X0,'familiename$u1$u1') ),
inference(resolution,[status(thm)],[d6,c12]) ).
cnf(d8,plain,
( ~ val(X0,'mandela$u0')
| ~ attr(c6,X0)
| ~ attr(X3,c38)
| ~ rslt(X2,c42)
| ~ obj(X2,c6)
| ~ sub(c23,X1)
| ~ sub(X0,'familiename$u1$u1') ),
inference(resolution,[status(thm)],[c11,d7]) ).
cnf(d9,plain,
( ~ attr(c6,c8)
| ~ attr(X2,c38)
| ~ rslt(X1,c42)
| ~ obj(X1,c6)
| ~ sub(c23,X0)
| ~ sub(c8,'familiename$u1$u1') ),
inference(resolution,[status(thm)],[d8,c22]) ).
cnf(d10,plain,
( ~ attr(X2,c38)
| ~ rslt(X1,c42)
| ~ obj(X1,c6)
| ~ sub(c8,'familiename$u1$u1')
| ~ sub(c23,X0) ),
inference(resolution,[status(thm)],[c17,d9]) ).
cnf(d11,plain,
( ~ attr(X2,c38)
| ~ rslt(X1,c42)
| ~ obj(X1,c6)
| ~ sub(c23,X0) ),
inference(resolution,[status(thm)],[c21,d10]) ).
cnf(d12,plain,
( ~ rslt(X1,c42)
| ~ obj(X1,c6)
| ~ sub(c23,X0) ),
inference(resolution,[status(thm)],[d11,c9]) ).
cnf(d13,plain,
( ~ obj(c27,c6)
| ~ sub(c23,X0) ),
inference(resolution,[status(thm)],[d12,c5]) ).
cnf(d14,plain,
~ sub(c23,X0),
inference(resolution,[status(thm)],[c4,d13]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[d14,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+44 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 01:17:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.94/12.32 % SZS status Theorem for theBenchmark.p
% 57.94/12.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------