%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+5 : 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 : n017.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 07:07:56 AM UTC 2026
% Result : Theorem 1.51s 0.69s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 40 ( 19 unt; 0 def)
% Number of atoms : 343 ( 0 equ)
% Maximal formula atoms : 162 ( 8 avg)
% Number of connectives : 431 ( 128 ~; 111 |; 191 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 162 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 50 ( 50 usr; 50 con; 0-0 aty)
% Number of variables : 69 ( 19 sgn 4 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(drop_first_name_component,axiom,
! [X0,X1,X2,X3] :
( ( val(X0,X1)
& sub(X0,eigenname_1_1)
& tupl(X1,X2,X3) )
=> val(X0,X2) ),
file('theBenchmark.p',drop_first_name_component) ).
fof(ave07_era5_synth_qa07_010_mira_news_1606_a671,axiom,
( gener(w__344hlen_1_2,ge)
& fact(w__344hlen_1_2,real)
& sort(w__344hlen_1_2,da)
& varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,quant_c)
& gener(land_1_1,gener_c)
& fact(land_1_1,real)
& etype(land_1_1,etype_c)
& card(land_1_1,card_c)
& sort(land_1_1,ent)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& sort(s__374dafrika_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(republik__1_1,varia_c)
& refer(republik__1_1,refer_c)
& quant(republik__1_1,one)
& gener(republik__1_1,ge)
& fact(republik__1_1,real)
& etype(republik__1_1,int0)
& card(republik__1_1,int1)
& sort(republik__1_1,io)
& sort(republik__1_1,d)
& varia(c392,varia_c)
& refer(c392,indet)
& quant(c392,one)
& gener(c392,sp)
& fact(c392,real)
& etype(c392,int0)
& card(c392,int1)
& sort(c392,na)
& varia(c391,con)
& refer(c391,det)
& quant(c391,one)
& gener(c391,sp)
& fact(c391,real)
& etype(c391,int0)
& card(c391,int1)
& sort(c391,io)
& sort(c391,d)
& sort(c1,tq)
& sort(amtlich_1_1,tq)
& 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)
& sort(c382,tq)
& varia(c381,con)
& refer(c381,det)
& quant(c381,one)
& gener(c381,sp)
& fact(c381,real)
& etype(c381,int0)
& card(c381,int1)
& sort(c381,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(rolihlahla_0,fe)
& sort(nelson_0,fe)
& sort(c347,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(c348,varia_c)
& refer(c348,indet)
& quant(c348,one)
& gener(c348,sp)
& fact(c348,real)
& etype(c348,int0)
& card(c348,int1)
& sort(c348,na)
& varia(c346,varia_c)
& refer(c346,indet)
& quant(c346,one)
& gener(c346,sp)
& fact(c346,real)
& etype(c346,int0)
& card(c346,int1)
& sort(c346,na)
& gener(erkl__344ren_1_4,ge)
& fact(erkl__344ren_1_4,real)
& sort(erkl__344ren_1_4,da)
& gener(c394,sp)
& fact(c394,real)
& sort(c394,st)
& varia(c345,con)
& refer(c345,det)
& quant(c345,one)
& gener(c345,sp)
& fact(c345,real)
& etype(c345,int0)
& card(c345,int1)
& sort(c345,d)
& varia(c3,varia_c)
& refer(c3,det)
& quant(c3,one)
& gener(c3,sp)
& fact(c3,real)
& etype(c3,int0)
& card(c3,int1)
& sort(c3,d)
& gener(c15,sp)
& fact(c15,real)
& sort(c15,da)
& chsp2(w__344hlen_1_2,c1)
& sub(republik__1_1,land_1_1)
& subr(c394,rprs_0)
& arg2(c394,c381)
& arg1(c394,c345)
& val(c392,s__374dafrika_0)
& sub(c392,name_1_1)
& sub(c391,republik__1_1)
& attr(c391,c392)
& attch(c391,c381)
& modp(c382,amtlich_1_1,c1)
& sub(c381,pr__344sident_1_1)
& prop(c381,c382)
& val(c348,mandela_0)
& sub(c348,familiename_1_1)
& tupl(c347,nelson_0,rolihlahla_0)
& val(c346,c347)
& sub(c346,eigenname_1_1)
& sub(c345,mensch_1_1)
& attr(c345,c348)
& attr(c345,c346)
& subs(c15,erkl__344ren_1_4)
& rslt(c15,c394)
& obj(c15,c345)
& agt(c15,c3) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1606_a671) ).
fof(synth_qa07_010_mira_news_1606_a671,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& 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)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
file('theBenchmark.p',synth_qa07_010_mira_news_1606_a671) ).
fof(synth_qa07_010_mira_news_1606_a671_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)
& 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)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_235,plain,
( val(D,B)
| ~ val(D,A)
| ~ sub(D,eigenname_1_1)
| ~ tupl(A,B,C) ),
inference(clausify,[status(thm)],[drop_first_name_component]) ).
cnf(c_264,plain,
obj(c15,c345),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_265,plain,
rslt(c15,c394),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_267,plain,
attr(c345,c346),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_268,plain,
attr(c345,c348),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_270,plain,
sub(c346,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_271,plain,
val(c346,c347),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_272,plain,
tupl(c347,nelson_0,rolihlahla_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_273,plain,
sub(c348,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_274,plain,
val(c348,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_276,plain,
sub(c381,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_279,plain,
attr(c391,c392),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_281,plain,
sub(c392,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_282,plain,
val(c392,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_283,plain,
arg1(c394,c345),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_284,plain,
arg2(c394,c381),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_285,plain,
subr(c394,rprs_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).
cnf(c_425,negated_conjecture,
( ~ val(V6,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(V6,name_1_1)
| ~ sub(C,V8)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ rslt(V7,A)
| ~ obj(V7,B)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_news_1606_a671_neg]) ).
cnf(c_627,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(A,V6)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ rslt(F,c394)
| ~ obj(F,c345)
| ~ attr(D,E)
| ~ attr(c345,C)
| ~ attr(c345,B)
| ~ arg2(c394,A) ),
inference(resolve,[status(thm)],[c_425,c_283]) ).
cnf(c_628,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(A,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c381,F)
| ~ sub(B,eigenname_1_1)
| ~ sub(A,familiename_1_1)
| ~ rslt(E,c394)
| ~ obj(E,c345)
| ~ attr(C,D)
| ~ attr(c345,B)
| ~ attr(c345,A) ),
inference(resolve,[status(thm)],[c_627,c_284]) ).
cnf(c_629,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c381,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c348,familiename_1_1)
| ~ rslt(D,c394)
| ~ obj(D,c345)
| ~ attr(B,C)
| ~ attr(c345,A) ),
inference(resolve,[status(thm)],[c_628,c_268]) ).
cnf(c_630,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c381,D)
| ~ sub(c346,eigenname_1_1)
| ~ sub(c348,familiename_1_1)
| ~ rslt(C,c394)
| ~ obj(C,c345)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_629,c_267]) ).
cnf(c_631,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(c392,name_1_1)
| ~ sub(c381,B)
| ~ sub(c346,eigenname_1_1)
| ~ sub(c348,familiename_1_1)
| ~ rslt(A,c394)
| ~ obj(A,c345) ),
inference(resolve,[status(thm)],[c_630,c_279]) ).
cnf(c_632,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(c392,name_1_1)
| ~ sub(c381,A)
| ~ sub(c346,eigenname_1_1)
| ~ sub(c348,familiename_1_1)
| ~ rslt(c15,c394) ),
inference(resolve,[status(thm)],[c_631,c_264]) ).
cnf(c_633,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(c392,name_1_1)
| ~ sub(c381,A)
| ~ sub(c346,eigenname_1_1)
| ~ sub(c348,familiename_1_1) ),
inference(resolve,[status(thm)],[c_632,c_265]) ).
cnf(c_634,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(c392,name_1_1)
| ~ sub(c381,A)
| ~ sub(c346,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_633,c_273]) ).
cnf(c_635,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(c392,name_1_1)
| ~ sub(c381,A) ),
inference(resolve,[status(thm)],[c_634,c_270]) ).
cnf(c_636,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0)
| ~ sub(c392,name_1_1) ),
inference(resolve,[status(thm)],[c_635,c_276]) ).
cnf(c_637,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0)
| ~ subr(c394,rprs_0) ),
inference(resolve,[status(thm)],[c_636,c_281]) ).
cnf(c_638,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0)
| ~ val(c348,mandela_0) ),
inference(resolve,[status(thm)],[c_637,c_285]) ).
cnf(c_639,negated_conjecture,
( ~ val(c392,s__374dafrika_0)
| ~ val(c346,nelson_0) ),
inference(resolve,[status(thm)],[c_638,c_274]) ).
cnf(c_444,negated_conjecture,
~ val(c346,nelson_0),
inference(resolve,[status(thm)],[c_639,c_282]) ).
cnf(c_640,plain,
( val(c346,B)
| ~ val(c346,A)
| ~ tupl(A,B,C) ),
inference(resolve,[status(thm)],[c_235,c_270]) ).
cnf(c_641,plain,
( val(c346,A)
| ~ tupl(c347,A,B) ),
inference(resolve,[status(thm)],[c_640,c_271]) ).
cnf(c_625,plain,
~ tupl(c347,nelson_0,A),
inference(resolve,[status(thm)],[c_641,c_444]) ).
cnf(c_626,plain,
$false,
inference(resolve,[status(thm)],[c_625,c_272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 01:11:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 2054597 was started by sandbox on n017,
% 0.10/0.38 % Sun Sep 27 01:11:19 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.51/0.69
% 1.51/0.69 % SInE (scan): 83 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10075 zapped, of 10188 axioms (depth 3).
% 1.51/0.69
% 1.51/0.69 % From the command line: assign(max_seconds, 300).
% 1.51/0.69
% 1.51/0.69 % SZS status Theorem for theBenchmark
% 1.51/0.69
% 1.51/0.69 % Proof 1 at 0.08 (+ 0.03) seconds.
% 1.51/0.69 % Length of proof is 24.
% 1.51/0.69 % Level of proof is 4.
% 1.51/0.69 % Maximum clause weight is 47.000.
% 1.51/0.69 % Given clauses 200.
% 1.51/0.69
% 1.51/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------