%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+35 : 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 : n007.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 1.51s 0.66s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 547 ( 0 equ)
% Maximal formula atoms : 160 ( 6 avg)
% Number of connectives : 697 ( 233 ~; 217 |; 244 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 160 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 55 con; 0-3 aty)
% Number of variables : 191 ( 17 sgn 77 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(attr_name_hei__337en_1_1,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('theBenchmark.p',attr_name_hei__337en_1_1) ).
fof(hei__337en_1_1__bezeichnen_1_1_als,axiom,
! [X0,X1,X2] :
( ( subs(X0,hei__337en_1_1)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) ),
file('theBenchmark.p',hei__337en_1_1__bezeichnen_1_1_als) ).
fof(ave07_era5_synth_qa07_010_mira_wp_714,axiom,
( gener(abmurksen_1_1,ge)
& fact(abmurksen_1_1,real)
& sort(abmurksen_1_1,da)
& varia(geisterglaube_1_1,varia_c)
& refer(geisterglaube_1_1,refer_c)
& quant(geisterglaube_1_1,one)
& gener(geisterglaube_1_1,ge)
& fact(geisterglaube_1_1,real)
& etype(geisterglaube_1_1,int0)
& card(geisterglaube_1_1,int1)
& sort(geisterglaube_1_1,o)
& gener(c40,sp)
& fact(c40,real)
& sort(c40,da)
& varia(c38,varia_c)
& refer(c38,refer_c)
& quant(c38,one)
& gener(c38,gener_c)
& fact(c38,real)
& etype(c38,int0)
& card(c38,int1)
& sort(c38,o)
& 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(c34,varia_c)
& refer(c34,indet)
& quant(c34,nfquant)
& gener(c34,sp)
& fact(c34,real)
& etype(c34,int1)
& card(c34,int100)
& sort(c34,d)
& varia(mehrere_2_1,varia_c)
& refer(mehrere_2_1,refer_c)
& quant(mehrere_2_1,mult)
& gener(mehrere_2_1,gener_c)
& fact(mehrere_2_1,real)
& etype(mehrere_2_1,int1)
& card(mehrere_2_1,cons(x_constant,cons(int1,nil)))
& sort(mehrere_2_1,o)
& varia(c24,varia_c)
& refer(c24,indet)
& quant(c24,mult)
& gener(c24,sp)
& fact(c24,real)
& etype(c24,int3)
& etype(c24,int2)
& etype(c24,int1)
& card(c24,cons(x_constant,cons(int1,nil)))
& sort(c24,o)
& 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(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(s__374dafrikanisch_1_1,nq)
& varia(c18,varia_c)
& refer(c18,indet)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,na)
& varia(c17,varia_c)
& refer(c17,indet)
& quant(c17,one)
& gener(c17,sp)
& fact(c17,real)
& etype(c17,int0)
& card(c17,int1)
& sort(c17,na)
& varia(c7,con)
& refer(c7,det)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,ta)
& varia(c16,con)
& refer(c16,det)
& quant(c16,one)
& gener(c16,sp)
& fact(c16,real)
& etype(c16,int0)
& card(c16,int1)
& sort(c16,d)
& varia(zeit_1_1,varia_c)
& refer(zeit_1_1,refer_c)
& quant(zeit_1_1,one)
& gener(zeit_1_1,ge)
& fact(zeit_1_1,real)
& etype(zeit_1_1,int0)
& card(zeit_1_1,int1)
& sort(zeit_1_1,ta)
& varia(amt_1_2,varia_c)
& refer(amt_1_2,refer_c)
& quant(amt_1_2,one)
& gener(amt_1_2,ge)
& fact(amt_1_2,real)
& etype(amt_1_2,int0)
& card(amt_1_2,int1)
& sort(amt_1_2,io)
& sort(amt_1_2,ad)
& varia(amtszeit__1_1,varia_c)
& refer(amtszeit__1_1,refer_c)
& quant(amtszeit__1_1,one)
& gener(amtszeit__1_1,ge)
& fact(amtszeit__1_1,real)
& etype(amtszeit__1_1,int0)
& card(amtszeit__1_1,int1)
& sort(amtszeit__1_1,ta)
& sub(c7,amtszeit__1_1)
& temp(c40,c7)
& subs(c40,abmurksen_1_1)
& benf(c40,c34)
& aff(c40,c24)
& sub(c38,geisterglaube_1_1)
& just(c38,c40)
& pred(c34,mensch_1_1)
& pred(c24,mehrere_2_1)
& val(c18,mandela_0)
& sub(c18,familiename_1_1)
& val(c17,nelson_0)
& sub(c17,eigenname_1_1)
& sub(c16,pr__344sident_1_1)
& prop(c16,s__374dafrikanisch_1_1)
& attr(c16,c18)
& attr(c16,c17)
& attch(c16,c7)
& sub(amtszeit__1_1,zeit_1_1)
& assoc(amtszeit__1_1,amt_1_2) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_714) ).
fof(state_adjective__in_state,axiom,
! [X0,X1,X2] :
( ( state_adjective_state_binding(X1,X2)
& prop(X0,X1) )
=> ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ),
file('theBenchmark.p',state_adjective__in_state) ).
fof(synth_qa07_010_mira_wp_714,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& 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_714) ).
fof(synth_qa07_010_mira_wp_714_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)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& 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_714]) ).
fof(nnf_69,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(fof_nnf,[status(thm)],[state_adjective__in_state]) ).
fof(sk_state_adjective__in_state_sk,plain,
! [X0,X1,X2] :
( ( val(sK2(X0,X1,X2),X2)
& sub(sK2(X0,X1,X2),name_1_1)
& sub(sK1(X0,X1,X2),land_1_1)
& loc(X0,sK0(X0,X1,X2))
& attr(sK1(X0,X1,X2),sK2(X0,X1,X2))
& in(sK0(X0,X1,X2),sK1(X0,X1,X2)) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2)),skolemize(X5,sK0(X0,X1,X2))],[nnf_69]) ).
fof(sk_state_adjective__in_state,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( val(sK2(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK2(VAR_0,VAR_1,VAR_2),name_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK1(VAR_0,VAR_1,VAR_2),land_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( loc(VAR_0,sK0(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( attr(sK1(VAR_0,VAR_1,VAR_2),sK2(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( in(sK0(VAR_0,VAR_1,VAR_2),sK1(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_state_adjective__in_state_sk]) ).
cnf(c_124,plain,
( in(sK0(A,B,C),sK1(A,B,C))
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
cnf(c_125,plain,
( attr(sK1(A,B,C),sK2(A,B,C))
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
cnf(c_128,plain,
( sub(sK2(A,B,C),name_1_1)
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
cnf(c_129,plain,
( val(sK2(A,B,C),C)
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
fof(fact_8980,axiom,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
file('theBenchmark.p',fact_8980) ).
cnf(c_163,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_167,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_48,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(fof_nnf,[status(thm)],[attr_name_hei__337en_1_1]) ).
fof(sk_attr_name_hei__337en_1_1_sk,plain,
! [X0,X1,X2] :
( ( subs(sK3(X0,X1,X2),hei__337en_1_1)
& arg2(sK3(X0,X1,X2),X2)
& arg1(sK3(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[nnf_48]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK3(VAR_1,VAR_2,VAR_0),hei__337en_1_1)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK3(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK3(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name_hei__337en_1_1_sk]) ).
cnf(c_244,plain,
( arg1(sK3(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_245,plain,
( arg2(sK3(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_246,plain,
( subs(sK3(B,C,A),hei__337en_1_1)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
fof(nnf_49,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(fof_nnf,[status(thm)],[hei__337en_1_1__bezeichnen_1_1_als]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als_sk,plain,
! [X0,X1,X2] :
( ( subs(sK5(X0,X1,X2),bezeichnen_1_1)
& subr(sK4(X0,X1,X2),rprs_0)
& obj(sK5(X0,X1,X2),X1)
& mcont(sK5(X0,X1,X2),sK4(X0,X1,X2))
& hsit(X0,sK5(X0,X1,X2))
& arg2(sK4(X0,X1,X2),X2)
& arg1(sK4(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2))],[nnf_49]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK5(VAR_0,VAR_1,VAR_2),bezeichnen_1_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( subr(sK4(VAR_0,VAR_1,VAR_2),rprs_0)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK5(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK5(VAR_0,VAR_1,VAR_2),sK4(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( hsit(VAR_0,sK5(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK4(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK4(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als_sk]) ).
cnf(c_247,plain,
( arg1(sK4(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_248,plain,
( arg2(sK4(A,B,C),C)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_251,plain,
( obj(sK5(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_252,plain,
( subr(sK4(A,B,C),rprs_0)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_279,plain,
attr(c16,c17),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_714]) ).
cnf(c_280,plain,
attr(c16,c18),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_714]) ).
cnf(c_281,plain,
prop(c16,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_714]) ).
cnf(c_282,plain,
sub(c16,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_714]) ).
cnf(c_283,plain,
sub(c17,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_714]) ).
cnf(c_284,plain,
val(c17,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_714]) ).
cnf(c_285,plain,
sub(c18,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_714]) ).
cnf(c_286,plain,
val(c18,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_714]) ).
cnf(c_436,negated_conjecture,
( ~ val(V7,s__374dafrika_0)
| ~ val(V6,nelson_0)
| ~ val(F,mandela_0)
| ~ subr(C,rprs_0)
| ~ sub(V7,name_1_1)
| ~ sub(E,V9)
| ~ sub(V6,eigenname_1_1)
| ~ sub(F,familiename_1_1)
| ~ 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_714_neg]) ).
cnf(c_988,plain,
( val(sK2(c16,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_129,c_281]) ).
cnf(c_438,plain,
val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_988,c_163]) ).
cnf(c_989,plain,
( sub(sK2(c16,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_128,c_281]) ).
cnf(c_439,plain,
sub(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_989,c_163]) ).
cnf(c_990,plain,
( attr(sK1(c16,s__374dafrikanisch_1_1,A),sK2(c16,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_125,c_281]) ).
cnf(c_442,plain,
attr(sK1(c16,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_990,c_163]) ).
cnf(c_991,plain,
( in(sK0(c16,s__374dafrikanisch_1_1,A),sK1(c16,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_124,c_281]) ).
cnf(c_443,plain,
in(sK0(c16,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c16,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_991,c_163]) ).
cnf(c_992,plain,
( arg1(sK3(c17,A,c16),c16)
| ~ sub(c17,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_244,c_279]) ).
cnf(c_993,plain,
( arg1(sK3(c17,eigenname_1_1,c16),c16)
| ~ sub(c17,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_992,c_167]) ).
cnf(c_662,plain,
arg1(sK3(c17,eigenname_1_1,c16),c16),
inference(resolve,[status(thm)],[c_993,c_283]) ).
cnf(c_994,plain,
( arg2(sK3(c17,A,c16),c16)
| ~ sub(c17,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_245,c_279]) ).
cnf(c_995,plain,
( arg2(sK3(c17,eigenname_1_1,c16),c16)
| ~ sub(c17,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_994,c_167]) ).
cnf(c_663,plain,
arg2(sK3(c17,eigenname_1_1,c16),c16),
inference(resolve,[status(thm)],[c_995,c_283]) ).
cnf(c_996,plain,
( subs(sK3(c17,A,c16),hei__337en_1_1)
| ~ sub(c17,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_246,c_279]) ).
cnf(c_997,plain,
( subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1)
| ~ sub(c17,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_996,c_167]) ).
cnf(c_671,plain,
subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1),
inference(resolve,[status(thm)],[c_997,c_283]) ).
cnf(c_998,plain,
( subr(sK4(sK3(c17,eigenname_1_1,c16),c16,A),rprs_0)
| ~ subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1)
| ~ arg2(sK3(c17,eigenname_1_1,c16),A) ),
inference(resolve,[status(thm)],[c_252,c_662]) ).
cnf(c_999,plain,
( subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_998,c_663]) ).
cnf(c_799,plain,
subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0),
inference(resolve,[status(thm)],[c_999,c_671]) ).
cnf(c_1000,plain,
( obj(sK5(sK3(c17,eigenname_1_1,c16),c16,A),c16)
| ~ subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1)
| ~ arg2(sK3(c17,eigenname_1_1,c16),A) ),
inference(resolve,[status(thm)],[c_251,c_662]) ).
cnf(c_1001,plain,
( obj(sK5(sK3(c17,eigenname_1_1,c16),c16,c16),c16)
| ~ subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1000,c_663]) ).
cnf(c_800,plain,
obj(sK5(sK3(c17,eigenname_1_1,c16),c16,c16),c16),
inference(resolve,[status(thm)],[c_1001,c_671]) ).
cnf(c_1002,plain,
( arg2(sK4(sK3(c17,eigenname_1_1,c16),c16,A),A)
| ~ subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1)
| ~ arg2(sK3(c17,eigenname_1_1,c16),A) ),
inference(resolve,[status(thm)],[c_248,c_662]) ).
cnf(c_1003,plain,
( arg2(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16)
| ~ subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1002,c_663]) ).
cnf(c_803,plain,
arg2(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16),
inference(resolve,[status(thm)],[c_1003,c_671]) ).
cnf(c_1004,plain,
( arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,A),c16)
| ~ subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1)
| ~ arg2(sK3(c17,eigenname_1_1,c16),A) ),
inference(resolve,[status(thm)],[c_247,c_662]) ).
cnf(c_1005,plain,
( arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16)
| ~ subs(sK3(c17,eigenname_1_1,c16),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1004,c_663]) ).
cnf(c_804,plain,
arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16),
inference(resolve,[status(thm)],[c_1005,c_671]) ).
cnf(c_1006,negated_conjecture,
( ~ val(F,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(F,name_1_1)
| ~ sub(C,V7)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ obj(V6,B)
| ~ attr(sK1(c16,s__374dafrikanisch_1_1,s__374dafrika_0),F)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_436,c_443]) ).
cnf(c_1007,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c16,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c16,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),A) ),
inference(resolve,[status(thm)],[c_1006,c_803]) ).
cnf(c_1008,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c18,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c16,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c18,familiename_1_1)
| ~ obj(C,c16)
| ~ attr(sK1(c16,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c16,A)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1007,c_280]) ).
cnf(c_1009,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ val(c18,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c16,C)
| ~ sub(c17,eigenname_1_1)
| ~ sub(c18,familiename_1_1)
| ~ obj(B,c16)
| ~ attr(sK1(c16,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1008,c_279]) ).
cnf(c_1010,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ val(c18,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ sub(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c16,B)
| ~ sub(c17,eigenname_1_1)
| ~ sub(c18,familiename_1_1)
| ~ obj(A,c16)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1009,c_442]) ).
cnf(c_1011,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ val(c18,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ sub(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c16,A)
| ~ sub(c17,eigenname_1_1)
| ~ sub(c18,familiename_1_1)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1010,c_800]) ).
cnf(c_1012,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ val(c18,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ sub(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c16,A)
| ~ sub(c17,eigenname_1_1)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1011,c_285]) ).
cnf(c_1013,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ val(c18,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ sub(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c16,A)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1012,c_283]) ).
cnf(c_1014,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ val(c18,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ sub(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1013,c_282]) ).
cnf(c_1015,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ val(c18,mandela_0)
| ~ subr(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),rprs_0)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1014,c_439]) ).
cnf(c_1016,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ val(c18,mandela_0)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1015,c_799]) ).
cnf(c_1017,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c17,nelson_0)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1016,c_286]) ).
cnf(c_1018,negated_conjecture,
( ~ val(sK2(c16,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16) ),
inference(resolve,[status(thm)],[c_1017,c_284]) ).
cnf(c_1019,negated_conjecture,
~ arg1(sK4(sK3(c17,eigenname_1_1,c16),c16,c16),c16),
inference(resolve,[status(thm)],[c_1018,c_438]) ).
cnf(c_987,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_804,c_1019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+35 : 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 : n007.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 01:13:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 910326 was started by sandbox on n007,
% 0.10/0.37 % Sun Sep 27 01:13:10 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.51/0.66
% 1.51/0.66 % SInE (scan): 86 to sos (tol 1.5x), 31 to usable (tol 2.0x), 10071 zapped, of 10188 axioms (depth 3).
% 1.51/0.66
% 1.51/0.66 % From the command line: assign(max_seconds, 300).
% 1.51/0.66
% 1.51/0.66 % given #500 (A,wt=10): 663 arg2(f7(c17,eigenname_1_1,c16),c16). [ur(245,a,279,a,b,167,a,c,283,a)].
% 1.51/0.66
% 1.51/0.66 % SZS status Theorem for theBenchmark
% 1.51/0.66
% 1.51/0.66 % Proof 1 at 0.14 (+ 0.06) seconds.
% 1.51/0.66 % Length of proof is 40.
% 1.51/0.66 % Level of proof is 4.
% 1.51/0.66 % Maximum clause weight is 47.000.
% 1.51/0.66 % Given clauses 711.
% 1.51/0.66
% 1.51/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------