%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+26 : 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 07:07:53 AM UTC 2026
% Result : Theorem 1.98s 0.70s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 650 ( 0 equ)
% Maximal formula atoms : 263 ( 7 avg)
% Number of connectives : 800 ( 233 ~; 217 |; 347 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 263 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-10 aty)
% Number of functors : 69 ( 69 usr; 62 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_news_1797,axiom,
( varia(minister__1_1,varia_c)
& refer(minister__1_1,refer_c)
& quant(minister__1_1,one)
& gener(minister__1_1,ge)
& fact(minister__1_1,real)
& etype(minister__1_1,int0)
& card(minister__1_1,int1)
& sort(minister__1_1,d)
& varia(c3504,varia_c)
& refer(c3504,refer_c)
& quant(c3504,quant_c)
& gener(c3504,gener_c)
& fact(c3504,real)
& etype(c3504,etype_c)
& card(c3504,card_c)
& sort(c3504,ent)
& varia(programm_1_1,varia_c)
& refer(programm_1_1,refer_c)
& quant(programm_1_1,one)
& gener(programm_1_1,ge)
& fact(programm_1_1,real)
& etype(programm_1_1,int0)
& card(programm_1_1,int1)
& sort(programm_1_1,io)
& sort(programm_1_1,d)
& sort(programm_1_1,ad)
& varia(c2873,con)
& refer(c2873,det)
& quant(c2873,one)
& gener(c2873,sp)
& fact(c2873,real)
& etype(c2873,int0)
& card(c2873,int1)
& sort(c2873,io)
& sort(c2873,d)
& sort(c2873,ad)
& sort(eritrea_0,fe)
& varia(c2869,varia_c)
& refer(c2869,indet)
& quant(c2869,one)
& gener(c2869,sp)
& fact(c2869,real)
& etype(c2869,int0)
& card(c2869,int1)
& sort(c2869,na)
& varia(c2868,con)
& refer(c2868,det)
& quant(c2868,one)
& gener(c2868,sp)
& fact(c2868,real)
& etype(c2868,int0)
& card(c2868,int1)
& sort(c2868,io)
& sort(c2868,d)
& sort(n344thiopien_0,fe)
& varia(c2863,varia_c)
& refer(c2863,indet)
& quant(c2863,one)
& gener(c2863,sp)
& fact(c2863,real)
& etype(c2863,int0)
& card(c2863,int1)
& sort(c2863,na)
& varia(c2862,con)
& refer(c2862,det)
& quant(c2862,one)
& gener(c2862,sp)
& fact(c2862,real)
& etype(c2862,int0)
& card(c2862,int1)
& sort(c2862,io)
& sort(c2862,d)
& varia(c2856,con)
& refer(c2856,det)
& quant(c2856,one)
& gener(c2856,sp)
& fact(c2856,real)
& etype(c2856,int0)
& card(c2856,int1)
& sort(c2856,d)
& sort(slowenien_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(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(c2850,varia_c)
& refer(c2850,indet)
& quant(c2850,one)
& gener(c2850,sp)
& fact(c2850,real)
& etype(c2850,int0)
& card(c2850,int1)
& sort(c2850,na)
& varia(c2849,con)
& refer(c2849,det)
& quant(c2849,one)
& gener(c2849,sp)
& fact(c2849,real)
& etype(c2849,int0)
& card(c2849,int1)
& sort(c2849,io)
& sort(c2849,d)
& sort(mandela_0,fe)
& 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)
& varia(ministerpr__344sident_1_1,varia_c)
& refer(ministerpr__344sident_1_1,refer_c)
& quant(ministerpr__344sident_1_1,one)
& gener(ministerpr__344sident_1_1,ge)
& fact(ministerpr__344sident_1_1,real)
& etype(ministerpr__344sident_1_1,int0)
& card(ministerpr__344sident_1_1,int1)
& sort(ministerpr__344sident_1_1,d)
& sort(s__374dafrikanisch_1_1,nq)
& varia(c2838,varia_c)
& refer(c2838,indet)
& quant(c2838,one)
& gener(c2838,sp)
& fact(c2838,real)
& etype(c2838,int0)
& card(c2838,int1)
& sort(c2838,na)
& varia(c2837,varia_c)
& refer(c2837,indet)
& quant(c2837,one)
& gener(c2837,sp)
& fact(c2837,real)
& etype(c2837,int0)
& card(c2837,int1)
& sort(c2837,na)
& varia(c2836,con)
& refer(c2836,det)
& quant(c2836,one)
& gener(c2836,sp)
& fact(c2836,real)
& etype(c2836,int0)
& card(c2836,int1)
& sort(c2836,d)
& varia(treffen_3_1,varia_c)
& refer(treffen_3_1,refer_c)
& quant(treffen_3_1,one)
& gener(treffen_3_1,ge)
& fact(treffen_3_1,real)
& etype(treffen_3_1,int0)
& card(treffen_3_1,int1)
& sort(treffen_3_1,ad)
& varia(c2823,varia_c)
& refer(c2823,refer_c)
& quant(c2823,one)
& gener(c2823,gener_c)
& fact(c2823,real)
& etype(c2823,int0)
& card(c2823,int1)
& sort(c2823,ad)
& varia(sonnentag_1_1,varia_c)
& refer(sonnentag_1_1,refer_c)
& quant(sonnentag_1_1,one)
& gener(sonnentag_1_1,ge)
& fact(sonnentag_1_1,real)
& etype(sonnentag_1_1,int0)
& card(sonnentag_1_1,int1)
& sort(sonnentag_1_1,ta)
& varia(c2822,varia_c)
& refer(c2822,refer_c)
& quant(c2822,one)
& gener(c2822,gener_c)
& fact(c2822,real)
& etype(c2822,int0)
& card(c2822,int1)
& sort(c2822,ta)
& sort(clinton_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)
& 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(c2817,varia_c)
& refer(c2817,indet)
& quant(c2817,one)
& gener(c2817,sp)
& fact(c2817,real)
& etype(c2817,int0)
& card(c2817,int1)
& sort(c2817,na)
& varia(c2816,con)
& refer(c2816,det)
& quant(c2816,one)
& gener(c2816,sp)
& fact(c2816,real)
& etype(c2816,int0)
& card(c2816,int1)
& sort(c2816,d)
& sub(ministerpr__344sident_1_1,pr__344sident_1_1)
& assoc(ministerpr__344sident_1_1,minister__1_1)
& tupl_p10(c3504,c2816,c2822,c2823,c2836,c2849,c2856,c2862,c2868,c2873)
& sub(c2873,programm_1_1)
& val(c2869,eritrea_0)
& sub(c2869,name_1_1)
& sub(c2868,land_1_1)
& attr(c2868,c2869)
& val(c2863,n344thiopien_0)
& sub(c2863,name_1_1)
& sub(c2862,land_1_1)
& attr(c2862,c2863)
& sub(c2856,pr__344sident_1_1)
& val(c2850,slowenien_0)
& sub(c2850,name_1_1)
& sub(c2849,land_1_1)
& attr(c2849,c2850)
& val(c2838,mandela_0)
& sub(c2838,familiename_1_1)
& val(c2837,nelson_0)
& sub(c2837,eigenname_1_1)
& sub(c2836,pr__344sident_1_1)
& sub(c2836,ministerpr__344sident_1_1)
& prop(c2836,s__374dafrikanisch_1_1)
& attr(c2836,c2838)
& attr(c2836,c2837)
& subs(c2823,treffen_3_1)
& sub(c2822,sonnentag_1_1)
& val(c2817,clinton_0)
& sub(c2817,familiename_1_1)
& sub(c2816,mensch_1_1)
& attr(c2816,c2817) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1797) ).
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_news_1797,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_news_1797) ).
fof(synth_qa07_010_mira_news_1797_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_news_1797]) ).
fof(nnf_59,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_59]) ).
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_111,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_112,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_115,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_116,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_147,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_150,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_35,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_35]) ).
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_211,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_212,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_213,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_36,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_36]) ).
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_214,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_215,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_218,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_219,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_253,plain,
attr(c2836,c2837),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1797]) ).
cnf(c_254,plain,
attr(c2836,c2838),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1797]) ).
cnf(c_255,plain,
prop(c2836,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1797]) ).
cnf(c_257,plain,
sub(c2836,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1797]) ).
cnf(c_258,plain,
sub(c2837,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1797]) ).
cnf(c_259,plain,
val(c2837,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1797]) ).
cnf(c_260,plain,
sub(c2838,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1797]) ).
cnf(c_261,plain,
val(c2838,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1797]) ).
cnf(c_510,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_news_1797_neg]) ).
cnf(c_1362,plain,
( val(sK2(c2836,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_116,c_255]) ).
cnf(c_512,plain,
val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_1362,c_147]) ).
cnf(c_1363,plain,
( sub(sK2(c2836,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_115,c_255]) ).
cnf(c_513,plain,
sub(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_1363,c_147]) ).
cnf(c_1364,plain,
( attr(sK1(c2836,s__374dafrikanisch_1_1,A),sK2(c2836,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_112,c_255]) ).
cnf(c_516,plain,
attr(sK1(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1364,c_147]) ).
cnf(c_1365,plain,
( in(sK0(c2836,s__374dafrikanisch_1_1,A),sK1(c2836,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_111,c_255]) ).
cnf(c_517,plain,
in(sK0(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c2836,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1365,c_147]) ).
cnf(c_1366,plain,
( arg1(sK3(c2837,A,c2836),c2836)
| ~ sub(c2837,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_211,c_253]) ).
cnf(c_1367,plain,
( arg1(sK3(c2837,eigenname_1_1,c2836),c2836)
| ~ sub(c2837,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1366,c_150]) ).
cnf(c_663,plain,
arg1(sK3(c2837,eigenname_1_1,c2836),c2836),
inference(resolve,[status(thm)],[c_1367,c_258]) ).
cnf(c_1368,plain,
( arg2(sK3(c2837,A,c2836),c2836)
| ~ sub(c2837,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_212,c_253]) ).
cnf(c_1369,plain,
( arg2(sK3(c2837,eigenname_1_1,c2836),c2836)
| ~ sub(c2837,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1368,c_150]) ).
cnf(c_664,plain,
arg2(sK3(c2837,eigenname_1_1,c2836),c2836),
inference(resolve,[status(thm)],[c_1369,c_258]) ).
cnf(c_1370,plain,
( subs(sK3(c2837,A,c2836),hei__337en_1_1)
| ~ sub(c2837,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_213,c_253]) ).
cnf(c_1371,plain,
( subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1)
| ~ sub(c2837,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1370,c_150]) ).
cnf(c_674,plain,
subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1371,c_258]) ).
cnf(c_1372,plain,
( subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,A),rprs_0)
| ~ subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1)
| ~ arg2(sK3(c2837,eigenname_1_1,c2836),A) ),
inference(resolve,[status(thm)],[c_219,c_663]) ).
cnf(c_1373,plain,
( subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1372,c_664]) ).
cnf(c_1070,plain,
subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0),
inference(resolve,[status(thm)],[c_1373,c_674]) ).
cnf(c_1374,plain,
( obj(sK5(sK3(c2837,eigenname_1_1,c2836),c2836,A),c2836)
| ~ subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1)
| ~ arg2(sK3(c2837,eigenname_1_1,c2836),A) ),
inference(resolve,[status(thm)],[c_218,c_663]) ).
cnf(c_1375,plain,
( obj(sK5(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836)
| ~ subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1374,c_664]) ).
cnf(c_1071,plain,
obj(sK5(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836),
inference(resolve,[status(thm)],[c_1375,c_674]) ).
cnf(c_1376,plain,
( arg2(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,A),A)
| ~ subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1)
| ~ arg2(sK3(c2837,eigenname_1_1,c2836),A) ),
inference(resolve,[status(thm)],[c_215,c_663]) ).
cnf(c_1377,plain,
( arg2(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836)
| ~ subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1376,c_664]) ).
cnf(c_1074,plain,
arg2(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836),
inference(resolve,[status(thm)],[c_1377,c_674]) ).
cnf(c_1378,plain,
( arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,A),c2836)
| ~ subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1)
| ~ arg2(sK3(c2837,eigenname_1_1,c2836),A) ),
inference(resolve,[status(thm)],[c_214,c_663]) ).
cnf(c_1379,plain,
( arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836)
| ~ subs(sK3(c2837,eigenname_1_1,c2836),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1378,c_664]) ).
cnf(c_1075,plain,
arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836),
inference(resolve,[status(thm)],[c_1379,c_674]) ).
cnf(c_1380,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(c2836,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_510,c_517]) ).
cnf(c_1381,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c2836,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),A) ),
inference(resolve,[status(thm)],[c_1380,c_1074]) ).
cnf(c_1382,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c2838,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c2836,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c2838,familiename_1_1)
| ~ obj(C,c2836)
| ~ attr(sK1(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c2836,A)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1381,c_254]) ).
cnf(c_1383,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ val(c2838,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c2836,C)
| ~ sub(c2837,eigenname_1_1)
| ~ sub(c2838,familiename_1_1)
| ~ obj(B,c2836)
| ~ attr(sK1(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1382,c_253]) ).
cnf(c_1384,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ val(c2838,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ sub(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c2836,B)
| ~ sub(c2837,eigenname_1_1)
| ~ sub(c2838,familiename_1_1)
| ~ obj(A,c2836)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1383,c_516]) ).
cnf(c_1385,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ val(c2838,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ sub(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c2836,A)
| ~ sub(c2837,eigenname_1_1)
| ~ sub(c2838,familiename_1_1)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1384,c_1071]) ).
cnf(c_1386,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ val(c2838,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ sub(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c2836,A)
| ~ sub(c2837,eigenname_1_1)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1385,c_260]) ).
cnf(c_1387,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ val(c2838,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ sub(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c2836,A)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1386,c_258]) ).
cnf(c_1388,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ val(c2838,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ sub(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1387,c_257]) ).
cnf(c_1389,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ val(c2838,mandela_0)
| ~ subr(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),rprs_0)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1388,c_513]) ).
cnf(c_1390,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ val(c2838,mandela_0)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1389,c_1070]) ).
cnf(c_1391,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c2837,nelson_0)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1390,c_261]) ).
cnf(c_1392,negated_conjecture,
( ~ val(sK2(c2836,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836) ),
inference(resolve,[status(thm)],[c_1391,c_259]) ).
cnf(c_1393,negated_conjecture,
~ arg1(sK4(sK3(c2837,eigenname_1_1,c2836),c2836,c2836),c2836),
inference(resolve,[status(thm)],[c_1392,c_512]) ).
cnf(c_1361,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1075,c_1393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+26 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 01:12:39 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.36 % Process 909144 was started by sandbox on n007,
% 0.11/0.36 % Sun Sep 27 01:12:39 2026
% 0.11/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.98/0.70
% 1.98/0.70 % SInE (scan): 79 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10079 zapped, of 10188 axioms (depth 3).
% 1.98/0.70
% 1.98/0.70 % From the command line: assign(max_seconds, 300).
% 1.98/0.70
% 1.98/0.70 % given #500 (A,wt=5): 649 sort_leq(c2836,d). [ur(169,a,344,a,b,170,a)].
% 1.98/0.70
% 1.98/0.70 % SZS status Theorem for theBenchmark
% 1.98/0.70
% 1.98/0.70 % Proof 1 at 0.19 (+ 0.06) seconds.
% 1.98/0.70 % Length of proof is 40.
% 1.98/0.70 % Level of proof is 4.
% 1.98/0.70 % Maximum clause weight is 109.000.
% 1.98/0.70 % Given clauses 964.
% 1.98/0.70
% 1.98/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------