%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+9 : 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 : n006.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 07:07:39 AM UTC 2026
% Result : Theorem 8.49s 1.85s
% Output : CNFRefutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 62 ( 13 unt; 0 def)
% Number of atoms : 489 ( 0 equ)
% Maximal formula atoms : 247 ( 7 avg)
% Number of connectives : 578 ( 151 ~; 133 |; 291 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 247 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-10 aty)
% Number of functors : 67 ( 67 usr; 62 con; 0-3 aty)
% Number of variables : 168 ( 13 sgn 45 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(in_state__state_adjective,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( val(X3,X4)
& sub(X3,name_1_1)
& sub(X2,land_1_1)
& state_adjective_state_binding(X1,X4)
& loc(X0,X5)
& attr(X2,X3)
& in(X5,X2) )
=> prop(X0,X1) ),
file('theBenchmark.p',in_state__state_adjective) ).
fof(loc__stehen_1_1_loc,axiom,
! [X0,X1] :
( loc(X0,X1)
=> ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) ) ),
file('theBenchmark.p',loc__stehen_1_1_loc) ).
fof(ave07_era5_synth_qa07_004_mira_news_552_a281,axiom,
( varia(rat_2_1,varia_c)
& refer(rat_2_1,refer_c)
& quant(rat_2_1,quant_c)
& gener(rat_2_1,ge)
& fact(rat_2_1,real)
& etype(rat_2_1,int1)
& card(rat_2_1,card_c)
& sort(rat_2_1,io)
& sort(rat_2_1,d)
& varia(audienz__1_1,varia_c)
& refer(audienz__1_1,refer_c)
& quant(audienz__1_1,one)
& gener(audienz__1_1,ge)
& fact(audienz__1_1,real)
& etype(audienz__1_1,int0)
& card(audienz__1_1,int1)
& sort(audienz__1_1,o)
& varia(stadt__1_1,varia_c)
& refer(stadt__1_1,refer_c)
& quant(stadt__1_1,one)
& gener(stadt__1_1,ge)
& fact(stadt__1_1,real)
& etype(stadt__1_1,int0)
& card(stadt__1_1,int1)
& sort(stadt__1_1,io)
& sort(stadt__1_1,d)
& varia(c35765,varia_c)
& refer(c35765,refer_c)
& quant(c35765,quant_c)
& gener(c35765,gener_c)
& fact(c35765,real)
& etype(c35765,etype_c)
& card(c35765,card_c)
& sort(c35765,ent)
& sort(edelste_aufgabe_roms_0,fe)
& varia(c35704,varia_c)
& refer(c35704,refer_c)
& quant(c35704,one)
& gener(c35704,gener_c)
& fact(c35704,real)
& etype(c35704,int0)
& card(c35704,int1)
& sort(c35704,o)
& varia(friede_1_1,varia_c)
& refer(friede_1_1,refer_c)
& quant(friede_1_1,one)
& gener(friede_1_1,ge)
& fact(friede_1_1,real)
& etype(friede_1_1,int0)
& card(friede_1_1,int1)
& sort(friede_1_1,io)
& sort(friede_1_1,as)
& varia(c35694,con)
& refer(c35694,det)
& quant(c35694,one)
& gener(c35694,sp)
& fact(c35694,real)
& etype(c35694,int0)
& card(c35694,int1)
& sort(c35694,io)
& sort(c35694,as)
& varia(c35688,varia_c)
& refer(c35688,det)
& quant(c35688,one)
& gener(c35688,sp)
& fact(c35688,real)
& etype(c35688,int0)
& card(c35688,int1)
& sort(c35688,o)
& varia(einsatz_1_1,varia_c)
& refer(einsatz_1_1,refer_c)
& quant(einsatz_1_1,one)
& gener(einsatz_1_1,ge)
& fact(einsatz_1_1,real)
& etype(einsatz_1_1,int0)
& card(einsatz_1_1,int1)
& sort(einsatz_1_1,io)
& sort(einsatz_1_1,ad)
& sort(unbeirrt_1_1,nq)
& varia(c35683,varia_c)
& refer(c35683,det)
& quant(c35683,one)
& gener(c35683,sp)
& fact(c35683,real)
& etype(c35683,int0)
& card(c35683,int1)
& sort(c35683,io)
& sort(c35683,ad)
& varia(kirchenf__374rst_1_1,varia_c)
& refer(kirchenf__374rst_1_1,refer_c)
& quant(kirchenf__374rst_1_1,one)
& gener(kirchenf__374rst_1_1,ge)
& fact(kirchenf__374rst_1_1,real)
& etype(kirchenf__374rst_1_1,int0)
& card(kirchenf__374rst_1_1,int1)
& sort(kirchenf__374rst_1_1,d)
& varia(c35676,con)
& refer(c35676,det)
& quant(c35676,one)
& gener(c35676,sp)
& fact(c35676,real)
& etype(c35676,int0)
& card(c35676,int1)
& sort(c35676,d)
& varia(hauptsstadt_1_1,varia_c)
& refer(hauptsstadt_1_1,refer_c)
& quant(hauptsstadt_1_1,one)
& gener(hauptsstadt_1_1,ge)
& fact(hauptsstadt_1_1,real)
& etype(hauptsstadt_1_1,int0)
& card(hauptsstadt_1_1,int1)
& sort(hauptsstadt_1_1,io)
& sort(hauptsstadt_1_1,d)
& sort(italienisch__1_1,nq)
& varia(c35631,con)
& refer(c35631,det)
& quant(c35631,one)
& gener(c35631,sp)
& fact(c35631,real)
& etype(c35631,int0)
& card(c35631,int1)
& sort(c35631,io)
& sort(c35631,d)
& varia(stadtrat_1_1,varia_c)
& refer(stadtrat_1_1,refer_c)
& quant(stadtrat_1_1,quant_c)
& gener(stadtrat_1_1,ge)
& fact(stadtrat_1_1,real)
& etype(stadtrat_1_1,int1)
& card(stadtrat_1_1,card_c)
& sort(stadtrat_1_1,io)
& sort(stadtrat_1_1,d)
& varia(c35616,con)
& refer(c35616,det)
& quant(c35616,one)
& gener(c35616,sp)
& fact(c35616,real)
& etype(c35616,int1)
& card(c35616,int1)
& sort(c35616,io)
& sort(c35616,d)
& varia(buergermeister_1_1,varia_c)
& refer(buergermeister_1_1,refer_c)
& quant(buergermeister_1_1,one)
& gener(buergermeister_1_1,ge)
& fact(buergermeister_1_1,real)
& etype(buergermeister_1_1,int0)
& card(buergermeister_1_1,int1)
& sort(buergermeister_1_1,d)
& varia(c35611,con)
& refer(c35611,det)
& quant(c35611,one)
& gener(c35611,sp)
& fact(c35611,real)
& etype(c35611,int0)
& card(c35611,int1)
& sort(c35611,d)
& varia(papstaudienz_1_1,varia_c)
& refer(papstaudienz_1_1,refer_c)
& quant(papstaudienz_1_1,one)
& gener(papstaudienz_1_1,ge)
& fact(papstaudienz_1_1,real)
& etype(papstaudienz_1_1,int0)
& card(papstaudienz_1_1,int1)
& sort(papstaudienz_1_1,o)
& sort(althergebracht_1_1,nq)
& varia(c35605,con)
& refer(c35605,det)
& quant(c35605,one)
& gener(c35605,sp)
& fact(c35605,real)
& etype(c35605,int0)
& card(c35605,int1)
& sort(c35605,o)
& varia(kathpress_1_1,varia_c)
& refer(kathpress_1_1,refer_c)
& quant(kathpress_1_1,one)
& gener(kathpress_1_1,ge)
& fact(kathpress_1_1,real)
& etype(kathpress_1_1,int0)
& card(kathpress_1_1,int1)
& sort(kathpress_1_1,o)
& varia(c35599,varia_c)
& refer(c35599,indet)
& quant(c35599,mult)
& gener(c35599,gener_c)
& fact(c35599,real)
& etype(c35599,int1)
& card(c35599,cons(x_constant,cons(int1,nil)))
& sort(c35599,o)
& sort(rutelli_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(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(c35598,varia_c)
& refer(c35598,indet)
& quant(c35598,one)
& gener(c35598,sp)
& fact(c35598,real)
& etype(c35598,int0)
& card(c35598,int1)
& sort(c35598,na)
& varia(c35597,con)
& refer(c35597,det)
& quant(c35597,one)
& gener(c35597,sp)
& fact(c35597,real)
& etype(c35597,int0)
& card(c35597,int1)
& sort(c35597,d)
& sub(stadtrat_1_1,rat_2_1)
& assoc(stadtrat_1_1,stadt__1_1)
& sub(papstaudienz_1_1,audienz__1_1)
& assoc(papstaudienz_1_1,kirchenf__374rst_1_1)
& sub(hauptsstadt_1_1,stadt__1_1)
& tupl_p10(c35765,c35597,c35599,c35605,c35611,c35616,c35676,c35683,c35694,c35704)
& name(c35704,edelste_aufgabe_roms_0)
& sub(c35694,friede_1_1)
& poss(c35688,c35683)
& sub(c35683,einsatz_1_1)
& prop(c35683,unbeirrt_1_1)
& sub(c35676,kirchenf__374rst_1_1)
& sub(c35631,hauptsstadt_1_1)
& prop(c35631,italienisch__1_1)
& attch(c35631,c35616)
& sub(c35616,stadtrat_1_1)
& sub(c35611,buergermeister_1_1)
& sub(c35605,papstaudienz_1_1)
& prop(c35605,althergebracht_1_1)
& pred(c35599,kathpress_1_1)
& val(c35598,rutelli_0)
& sub(c35598,eigenname_1_1)
& sub(c35597,mensch_1_1)
& attr(c35597,c35598) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_mira_news_552_a281) ).
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_004_mira_news_552_a281,conjecture,
? [X0,X1,X2,X3,X4] :
( subs(X4,stehen_1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
file('theBenchmark.p',synth_qa07_004_mira_news_552_a281) ).
fof(synth_qa07_004_mira_news_552_a281_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( subs(X4,stehen_1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_mira_news_552_a281]) ).
fof(nnf_62,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_62]) ).
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_103,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_104,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_105,plain,
( loc(A,sK0(A,B,C))
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
cnf(c_106,plain,
( sub(sK1(A,B,C),land_1_1)
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
cnf(c_107,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_108,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_8886,axiom,
state_adjective_state_binding(italienisch__1_1,italien_0),
file('theBenchmark.p',fact_8886) ).
cnf(c_141,plain,
state_adjective_state_binding(italienisch__1_1,italien_0),
inference(clausify,[status(thm)],[fact_8886]) ).
cnf(c_209,plain,
( prop(D,E)
| ~ val(C,F)
| ~ sub(C,name_1_1)
| ~ sub(B,land_1_1)
| ~ state_adjective_state_binding(E,F)
| ~ loc(D,A)
| ~ attr(B,C)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[in_state__state_adjective]) ).
fof(nnf_44,plain,
! [X0,X1] :
( ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) )
| ~ loc(X0,X1) ),
inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc]) ).
fof(sk_loc__stehen_1_1_loc_sk,plain,
! [X0,X1] :
( ( subs(sK3(X0,X1),stehen_1_1)
& scar(sK3(X0,X1),X0)
& loc(sK3(X0,X1),X1) )
| ~ loc(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[nnf_44]) ).
fof(sk_loc__stehen_1_1_loc,plain,
( ! [VAR_0,VAR_1] :
( subs(sK3(VAR_0,VAR_1),stehen_1_1)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( scar(sK3(VAR_0,VAR_1),VAR_0)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( loc(sK3(VAR_0,VAR_1),VAR_1)
| ~ loc(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_loc__stehen_1_1_loc_sk]) ).
cnf(c_233,plain,
( loc(sK3(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_234,plain,
( scar(sK3(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_235,plain,
( subs(sK3(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_250,plain,
prop(c35631,italienisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_news_552_a281]) ).
cnf(c_487,negated_conjecture,
( ~ subs(D,stehen_1_1)
| ~ sub(C,name_1_1)
| ~ scar(D,E)
| ~ loc(D,A)
| ~ attr(B,C)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_mira_news_552_a281_neg]) ).
cnf(c_489,plain,
( ~ state_adjective_state_binding(B,C)
| ~ prop(A,B)
| ~ subs(A,stehen_1_1)
| ~ sub(E,name_1_1)
| ~ scar(A,F)
| ~ attr(D,E)
| ~ in(sK0(A,B,C),D) ),
inference(resolve,[status(thm)],[c_487,c_105]) ).
cnf(c_4128,plain,
( ~ state_adjective_state_binding(B,C)
| ~ prop(A,B)
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B)
| ~ subs(A,stehen_1_1)
| ~ sub(D,name_1_1)
| ~ scar(A,E)
| ~ attr(sK1(A,B,C),D) ),
inference(resolve,[status(thm)],[c_489,c_103]) ).
cnf(c_4129,plain,
( ~ state_adjective_state_binding(B,C)
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B)
| ~ subs(A,stehen_1_1)
| ~ sub(D,name_1_1)
| ~ scar(A,E)
| ~ attr(sK1(A,B,C),D) ),
inference(copy,[status(thm)],[c_4128]) ).
cnf(c_492,plain,
( ~ state_adjective_state_binding(B,C)
| ~ prop(A,B)
| ~ subs(A,stehen_1_1)
| ~ sub(D,name_1_1)
| ~ scar(A,E)
| ~ attr(sK1(A,B,C),D) ),
inference(copy,[status(thm)],[c_4129]) ).
cnf(c_4130,plain,
( ~ state_adjective_state_binding(C,D)
| ~ prop(A,C)
| ~ state_adjective_state_binding(C,D)
| ~ prop(A,C)
| ~ subs(A,stehen_1_1)
| ~ sub(sK2(A,C,D),name_1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_492,c_104]) ).
cnf(c_4131,plain,
( ~ state_adjective_state_binding(C,D)
| ~ state_adjective_state_binding(C,D)
| ~ prop(A,C)
| ~ subs(A,stehen_1_1)
| ~ sub(sK2(A,C,D),name_1_1)
| ~ scar(A,B) ),
inference(copy,[status(thm)],[c_4130]) ).
cnf(c_494,plain,
( ~ state_adjective_state_binding(C,D)
| ~ prop(A,C)
| ~ subs(A,stehen_1_1)
| ~ sub(sK2(A,C,D),name_1_1)
| ~ scar(A,B) ),
inference(copy,[status(thm)],[c_4131]) ).
cnf(c_4132,plain,
( ~ state_adjective_state_binding(C,D)
| ~ prop(A,C)
| ~ state_adjective_state_binding(C,D)
| ~ prop(A,C)
| ~ subs(A,stehen_1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_494,c_107]) ).
cnf(c_4133,plain,
( ~ state_adjective_state_binding(C,D)
| ~ state_adjective_state_binding(C,D)
| ~ prop(A,C)
| ~ subs(A,stehen_1_1)
| ~ scar(A,B) ),
inference(copy,[status(thm)],[c_4132]) ).
cnf(c_497,plain,
( ~ state_adjective_state_binding(C,D)
| ~ prop(A,C)
| ~ subs(A,stehen_1_1)
| ~ scar(A,B) ),
inference(copy,[status(thm)],[c_4133]) ).
cnf(c_510,plain,
( ~ prop(A,italienisch__1_1)
| ~ subs(A,stehen_1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_497,c_141]) ).
cnf(c_4134,plain,
( val(sK2(c35631,italienisch__1_1,A),A)
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_108,c_250]) ).
cnf(c_570,plain,
val(sK2(c35631,italienisch__1_1,italien_0),italien_0),
inference(resolve,[status(thm)],[c_4134,c_141]) ).
cnf(c_4135,plain,
( sub(sK2(c35631,italienisch__1_1,A),name_1_1)
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_107,c_250]) ).
cnf(c_571,plain,
sub(sK2(c35631,italienisch__1_1,italien_0),name_1_1),
inference(resolve,[status(thm)],[c_4135,c_141]) ).
cnf(c_4136,plain,
( sub(sK1(c35631,italienisch__1_1,A),land_1_1)
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_106,c_250]) ).
cnf(c_572,plain,
sub(sK1(c35631,italienisch__1_1,italien_0),land_1_1),
inference(resolve,[status(thm)],[c_4136,c_141]) ).
cnf(c_4137,plain,
( loc(c35631,sK0(c35631,italienisch__1_1,A))
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_105,c_250]) ).
cnf(c_573,plain,
loc(c35631,sK0(c35631,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_4137,c_141]) ).
cnf(c_4138,plain,
( attr(sK1(c35631,italienisch__1_1,A),sK2(c35631,italienisch__1_1,A))
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_104,c_250]) ).
cnf(c_574,plain,
attr(sK1(c35631,italienisch__1_1,italien_0),sK2(c35631,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_4138,c_141]) ).
cnf(c_4139,plain,
( in(sK0(c35631,italienisch__1_1,A),sK1(c35631,italienisch__1_1,A))
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_103,c_250]) ).
cnf(c_575,plain,
in(sK0(c35631,italienisch__1_1,italien_0),sK1(c35631,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_4139,c_141]) ).
cnf(c_2107,plain,
( ~ prop(sK3(A,B),italienisch__1_1)
| ~ subs(sK3(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_234,c_510]) ).
cnf(c_4140,plain,
( ~ loc(A,B)
| ~ prop(sK3(A,B),italienisch__1_1)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_2107,c_235]) ).
cnf(c_3198,plain,
( ~ prop(sK3(A,B),italienisch__1_1)
| ~ loc(A,B) ),
inference(copy,[status(thm)],[c_4140]) ).
cnf(c_4091,plain,
~ prop(sK3(c35631,sK0(c35631,italienisch__1_1,italien_0)),italienisch__1_1),
inference(resolve,[status(thm)],[c_573,c_3198]) ).
cnf(c_4103,plain,
loc(sK3(c35631,sK0(c35631,italienisch__1_1,italien_0)),sK0(c35631,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_233,c_573]) ).
cnf(c_4141,plain,
( prop(B,C)
| ~ val(A,D)
| ~ sub(A,name_1_1)
| ~ sub(sK1(c35631,italienisch__1_1,italien_0),land_1_1)
| ~ state_adjective_state_binding(C,D)
| ~ loc(B,sK0(c35631,italienisch__1_1,italien_0))
| ~ attr(sK1(c35631,italienisch__1_1,italien_0),A) ),
inference(resolve,[status(thm)],[c_209,c_575]) ).
cnf(c_4142,plain,
( prop(A,B)
| ~ val(sK2(c35631,italienisch__1_1,italien_0),C)
| ~ sub(sK2(c35631,italienisch__1_1,italien_0),name_1_1)
| ~ sub(sK1(c35631,italienisch__1_1,italien_0),land_1_1)
| ~ state_adjective_state_binding(B,C)
| ~ loc(A,sK0(c35631,italienisch__1_1,italien_0)) ),
inference(resolve,[status(thm)],[c_4141,c_574]) ).
cnf(c_4143,plain,
( prop(A,italienisch__1_1)
| ~ val(sK2(c35631,italienisch__1_1,italien_0),italien_0)
| ~ sub(sK2(c35631,italienisch__1_1,italien_0),name_1_1)
| ~ sub(sK1(c35631,italienisch__1_1,italien_0),land_1_1)
| ~ loc(A,sK0(c35631,italienisch__1_1,italien_0)) ),
inference(resolve,[status(thm)],[c_4142,c_141]) ).
cnf(c_4144,plain,
( prop(A,italienisch__1_1)
| ~ val(sK2(c35631,italienisch__1_1,italien_0),italien_0)
| ~ sub(sK2(c35631,italienisch__1_1,italien_0),name_1_1)
| ~ loc(A,sK0(c35631,italienisch__1_1,italien_0)) ),
inference(resolve,[status(thm)],[c_4143,c_572]) ).
cnf(c_4145,plain,
( prop(A,italienisch__1_1)
| ~ val(sK2(c35631,italienisch__1_1,italien_0),italien_0)
| ~ loc(A,sK0(c35631,italienisch__1_1,italien_0)) ),
inference(resolve,[status(thm)],[c_4144,c_571]) ).
cnf(c_4146,plain,
( prop(A,italienisch__1_1)
| ~ loc(A,sK0(c35631,italienisch__1_1,italien_0)) ),
inference(resolve,[status(thm)],[c_4145,c_570]) ).
cnf(c_4147,plain,
~ loc(sK3(c35631,sK0(c35631,italienisch__1_1,italien_0)),sK0(c35631,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_4146,c_4091]) ).
cnf(c_4127,plain,
$false,
inference(resolve,[status(thm)],[c_4103,c_4147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR114+9 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n006.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 01:06:11 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.20/0.46 % Process 2477225 was started by sandbox on n006,
% 0.20/0.46 % Sun Sep 27 01:06:11 2026
% 0.20/0.46 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 8.49/1.85
% 8.49/1.85 % SInE (scan): 82 to sos (tol 1.5x), 21 to usable (tol 2.0x), 10085 zapped, of 10188 axioms (depth 3).
% 8.49/1.85
% 8.49/1.85 % From the command line: assign(max_seconds, 300).
% 8.49/1.85
% 8.49/1.85 % given #500 (F,wt=17): 1689 -scar(c35616,A) | -sub(friede_1_1,italiener_1_1) | -pred(c35631,c35694) | -subs(c35616,B) | -subs(B,stehen_1_1). [resolve(1618,b,183,c)].
% 8.49/1.85
% 8.49/1.85 % SZS status Theorem for theBenchmark
% 8.49/1.85
% 8.49/1.85 % Proof 1 at 0.94 (+ 0.21) seconds.
% 8.49/1.85 % Length of proof is 34.
% 8.49/1.85 % Level of proof is 10.
% 8.49/1.85 % Maximum clause weight is 28.000.
% 8.49/1.85 % Given clauses 771.
% 8.49/1.85
% 8.49/1.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------