%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+10 : 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 : n012.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 07:07:32 AM UTC 2026
% Result : Theorem 9.11s 11.73s
% Output : CNFRefutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 454 ( 0 equ)
% Maximal formula atoms : 299 ( 9 avg)
% Number of connectives : 481 ( 73 ~; 66 |; 339 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 299 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-11 aty)
% Number of functors : 65 ( 65 usr; 61 con; 0-3 aty)
% Number of variables : 108 ( 8 sgn 41 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(local_function___flp,axiom,
! [X0,X1] :
( ( bei(X0,X1)
| an(X0,X1)
| in(X0,X1) )
=> flp(X0,X1) ),
file('theBenchmark.p',local_function___flp) ).
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_003_mira_wp_178_a270,axiom,
( varia(statue_1_1,varia_c)
& refer(statue_1_1,refer_c)
& quant(statue_1_1,one)
& gener(statue_1_1,ge)
& fact(statue_1_1,real)
& etype(statue_1_1,int0)
& card(statue_1_1,int1)
& sort(statue_1_1,d)
& varia(freiheit_1_1,varia_c)
& refer(freiheit_1_1,refer_c)
& quant(freiheit_1_1,one)
& gener(freiheit_1_1,ge)
& fact(freiheit_1_1,real)
& etype(freiheit_1_1,int0)
& card(freiheit_1_1,int1)
& sort(freiheit_1_1,io)
& sort(freiheit_1_1,as)
& varia(c81513,varia_c)
& refer(c81513,refer_c)
& quant(c81513,quant_c)
& gener(c81513,gener_c)
& fact(c81513,real)
& etype(c81513,etype_c)
& card(c81513,card_c)
& sort(c81513,ent)
& sort(new_jersey_0,fe)
& varia(c81410,varia_c)
& refer(c81410,indet)
& quant(c81410,one)
& gener(c81410,sp)
& fact(c81410,real)
& etype(c81410,int0)
& card(c81410,int1)
& sort(c81410,na)
& varia(c81409,con)
& refer(c81409,det)
& quant(c81409,one)
& gener(c81409,sp)
& fact(c81409,real)
& etype(c81409,int0)
& card(c81409,int1)
& sort(c81409,io)
& sort(c81409,d)
& sort(usa_0,fe)
& varia(c81402,varia_c)
& refer(c81402,indet)
& quant(c81402,one)
& gener(c81402,sp)
& fact(c81402,real)
& etype(c81402,int0)
& card(c81402,int1)
& sort(c81402,na)
& varia(c81401,con)
& refer(c81401,det)
& quant(c81401,one)
& gener(c81401,sp)
& fact(c81401,real)
& etype(c81401,int0)
& card(c81401,int1)
& sort(c81401,io)
& sort(c81401,d)
& varia(bezirk__1_1,varia_c)
& refer(bezirk__1_1,refer_c)
& quant(bezirk__1_1,one)
& gener(bezirk__1_1,ge)
& fact(bezirk__1_1,real)
& etype(bezirk__1_1,int0)
& card(bezirk__1_1,int1)
& sort(bezirk__1_1,d)
& varia(c81395,con)
& refer(c81395,det)
& quant(c81395,one)
& gener(c81395,sp)
& fact(c81395,real)
& etype(c81395,int0)
& card(c81395,int1)
& sort(c81395,d)
& varia(enklave_1_1,varia_c)
& refer(enklave_1_1,refer_c)
& quant(enklave_1_1,one)
& gener(enklave_1_1,ge)
& fact(enklave_1_1,real)
& etype(enklave_1_1,int0)
& card(enklave_1_1,int1)
& sort(enklave_1_1,d)
& varia(c81378,varia_c)
& refer(c81378,refer_c)
& quant(c81378,one)
& gener(c81378,gener_c)
& fact(c81378,real)
& etype(c81378,int0)
& card(c81378,int1)
& sort(c81378,d)
& varia(service_1_1,varia_c)
& refer(service_1_1,refer_c)
& quant(service_1_1,one)
& gener(service_1_1,ge)
& fact(service_1_1,real)
& etype(service_1_1,int0)
& card(service_1_1,int1)
& sort(service_1_1,ad)
& varia(c81373,varia_c)
& refer(c81373,refer_c)
& quant(c81373,one)
& gener(c81373,gener_c)
& fact(c81373,real)
& etype(c81373,int0)
& card(c81373,int1)
& sort(c81373,ad)
& varia(park__1_1,varia_c)
& refer(park__1_1,refer_c)
& quant(park__1_1,one)
& gener(park__1_1,ge)
& fact(park__1_1,real)
& etype(park__1_1,int0)
& card(park__1_1,int1)
& sort(park__1_1,d)
& varia(c81368,varia_c)
& refer(c81368,refer_c)
& quant(c81368,one)
& gener(c81368,gener_c)
& fact(c81368,real)
& etype(c81368,int0)
& card(c81368,int1)
& sort(c81368,d)
& varia(national_2_1,varia_c)
& refer(national_2_1,refer_c)
& quant(national_2_1,one)
& gener(national_2_1,ge)
& fact(national_2_1,real)
& etype(national_2_1,int0)
& card(national_2_1,int1)
& sort(national_2_1,o)
& varia(c81366,con)
& refer(c81366,det)
& quant(c81366,one)
& gener(c81366,sp)
& fact(c81366,real)
& etype(c81366,int0)
& card(c81366,int1)
& sort(c81366,o)
& sort(amerikanisch__1_1,nq)
& varia(c81355,con)
& refer(c81355,det)
& quant(c81355,one)
& gener(c81355,sp)
& fact(c81355,real)
& etype(c81355,int1)
& card(c81355,int1)
& sort(c81355,io)
& sort(c81355,d)
& sort(liberty_island_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(c81340,varia_c)
& refer(c81340,indet)
& quant(c81340,one)
& gener(c81340,sp)
& fact(c81340,real)
& etype(c81340,int0)
& card(c81340,int1)
& sort(c81340,na)
& varia(c81339,con)
& refer(c81339,det)
& quant(c81339,one)
& gener(c81339,sp)
& fact(c81339,real)
& etype(c81339,int0)
& card(c81339,int1)
& sort(c81339,d)
& varia(insel__1_1,varia_c)
& refer(insel__1_1,refer_c)
& quant(insel__1_1,one)
& gener(insel__1_1,ge)
& fact(insel__1_1,real)
& etype(insel__1_1,int0)
& card(insel__1_1,int1)
& sort(insel__1_1,d)
& varia(c81332,con)
& refer(c81332,det)
& quant(c81332,one)
& gener(c81332,sp)
& fact(c81332,real)
& etype(c81332,int0)
& card(c81332,int1)
& sort(c81332,d)
& varia(freiheitsstatue_1_1,varia_c)
& refer(freiheitsstatue_1_1,refer_c)
& quant(freiheitsstatue_1_1,one)
& gener(freiheitsstatue_1_1,ge)
& fact(freiheitsstatue_1_1,real)
& etype(freiheitsstatue_1_1,int0)
& card(freiheitsstatue_1_1,int1)
& sort(freiheitsstatue_1_1,d)
& varia(c81293,con)
& refer(c81293,det)
& quant(c81293,one)
& gener(c81293,sp)
& fact(c81293,real)
& etype(c81293,int0)
& card(c81293,int1)
& sort(c81293,d)
& varia(regierung_1_1,varia_c)
& refer(regierung_1_1,refer_c)
& quant(regierung_1_1,quant_c)
& gener(regierung_1_1,ge)
& fact(regierung_1_1,real)
& etype(regierung_1_1,int1)
& card(regierung_1_1,card_c)
& sort(regierung_1_1,io)
& sort(regierung_1_1,d)
& varia(bund_1_1,varia_c)
& refer(bund_1_1,refer_c)
& quant(bund_1_1,quant_c)
& gener(bund_1_1,ge)
& fact(bund_1_1,real)
& etype(bund_1_1,int1)
& card(bund_1_1,card_c)
& sort(bund_1_1,io)
& sort(bund_1_1,d)
& varia(bunderegierung_1_1,varia_c)
& refer(bunderegierung_1_1,refer_c)
& quant(bunderegierung_1_1,quant_c)
& gener(bunderegierung_1_1,ge)
& fact(bunderegierung_1_1,real)
& etype(bunderegierung_1_1,int1)
& card(bunderegierung_1_1,card_c)
& sort(bunderegierung_1_1,io)
& sort(bunderegierung_1_1,d)
& 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(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,quant_c)
& gener(gebietsinstitution_1_1,gener_c)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,etype_c)
& card(gebietsinstitution_1_1,card_c)
& sort(gebietsinstitution_1_1,ent)
& varia(bund_2_1,varia_c)
& refer(bund_2_1,refer_c)
& quant(bund_2_1,quant_c)
& gener(bund_2_1,ge)
& fact(bund_2_1,real)
& etype(bund_2_1,int1)
& card(bund_2_1,card_c)
& sort(bund_2_1,d)
& varia(bundeland_1_1,varia_c)
& refer(bundeland_1_1,refer_c)
& quant(bundeland_1_1,one)
& gener(bundeland_1_1,ge)
& fact(bundeland_1_1,real)
& etype(bundeland_1_1,int0)
& card(bundeland_1_1,int1)
& sort(bundeland_1_1,io)
& sort(bundeland_1_1,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl_p11(c81513,c81293,c81332,c81339,c81355,c81366,c81368,c81373,c81378,c81395,c81409)
& val(c81410,new_jersey_0)
& sub(c81410,name_1_1)
& sub(c81409,bundeland_1_1)
& attr(c81409,c81410)
& val(c81402,usa_0)
& sub(c81402,name_1_1)
& sub(c81401,land_1_1)
& attr(c81401,c81402)
& attch(c81401,c81395)
& sub(c81395,bezirk__1_1)
& sub(c81378,enklave_1_1)
& subs(c81373,service_1_1)
& sub(c81368,park__1_1)
& sub(c81366,national_2_1)
& sub(c81355,bunderegierung_1_1)
& prop(c81355,amerikanisch__1_1)
& val(c81340,liberty_island_0)
& sub(c81340,name_1_1)
& sub(c81339,insel__1_1)
& attr(c81339,c81340)
& sub(c81332,insel__1_1)
& sub(c81293,freiheitsstatue_1_1)
& sub(bunderegierung_1_1,regierung_1_1)
& assoc(bunderegierung_1_1,bund_1_1)
& sub(bundeland_1_1,land_1_1)
& sub(bundeland_1_1,gebietsinstitution_1_1)
& assoc(bundeland_1_1,bund_2_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_178_a270) ).
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_003_mira_wp_178_a270,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,usa_0)
& subs(X3,stehen_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& attr(X2,X1)
& flp(X0,X2) ),
file('theBenchmark.p',synth_qa07_003_mira_wp_178_a270) ).
fof(synth_qa07_003_mira_wp_178_a270_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,usa_0)
& subs(X3,stehen_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& attr(X2,X1)
& flp(X0,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_178_a270]) ).
fof(nnf_47,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_47]) ).
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_78,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_79,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_80,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_82,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_83,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_8825,axiom,
state_adjective_state_binding(amerikanisch__1_1,usa_0),
file('theBenchmark.p',fact_8825) ).
cnf(c_108,plain,
state_adjective_state_binding(amerikanisch__1_1,usa_0),
inference(clausify,[status(thm)],[fact_8825]) ).
cnf(c_177,plain,
( flp(A,B)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[local_function___flp]) ).
fof(nnf_33,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_33]) ).
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_180,plain,
( loc(sK3(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_181,plain,
( scar(sK3(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_182,plain,
( subs(sK3(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_196,plain,
prop(c81355,amerikanisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_178_a270]) ).
cnf(c_482,negated_conjecture,
( ~ val(C,usa_0)
| ~ subs(D,stehen_1_1)
| ~ sub(C,name_1_1)
| ~ scar(D,E)
| ~ loc(D,A)
| ~ attr(B,C)
| ~ flp(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_mira_wp_178_a270_neg]) ).
cnf(c_8969,plain,
( val(sK2(c81355,amerikanisch__1_1,A),A)
| ~ state_adjective_state_binding(amerikanisch__1_1,A) ),
inference(resolve,[status(thm)],[c_83,c_196]) ).
cnf(c_491,plain,
val(sK2(c81355,amerikanisch__1_1,usa_0),usa_0),
inference(resolve,[status(thm)],[c_8969,c_108]) ).
cnf(c_8970,plain,
( sub(sK2(c81355,amerikanisch__1_1,A),name_1_1)
| ~ state_adjective_state_binding(amerikanisch__1_1,A) ),
inference(resolve,[status(thm)],[c_82,c_196]) ).
cnf(c_492,plain,
sub(sK2(c81355,amerikanisch__1_1,usa_0),name_1_1),
inference(resolve,[status(thm)],[c_8970,c_108]) ).
cnf(c_8971,plain,
( loc(c81355,sK0(c81355,amerikanisch__1_1,A))
| ~ state_adjective_state_binding(amerikanisch__1_1,A) ),
inference(resolve,[status(thm)],[c_80,c_196]) ).
cnf(c_494,plain,
loc(c81355,sK0(c81355,amerikanisch__1_1,usa_0)),
inference(resolve,[status(thm)],[c_8971,c_108]) ).
cnf(c_8972,plain,
( attr(sK1(c81355,amerikanisch__1_1,A),sK2(c81355,amerikanisch__1_1,A))
| ~ state_adjective_state_binding(amerikanisch__1_1,A) ),
inference(resolve,[status(thm)],[c_79,c_196]) ).
cnf(c_495,plain,
attr(sK1(c81355,amerikanisch__1_1,usa_0),sK2(c81355,amerikanisch__1_1,usa_0)),
inference(resolve,[status(thm)],[c_8972,c_108]) ).
cnf(c_8973,plain,
( in(sK0(c81355,amerikanisch__1_1,A),sK1(c81355,amerikanisch__1_1,A))
| ~ state_adjective_state_binding(amerikanisch__1_1,A) ),
inference(resolve,[status(thm)],[c_78,c_196]) ).
cnf(c_496,plain,
in(sK0(c81355,amerikanisch__1_1,usa_0),sK1(c81355,amerikanisch__1_1,usa_0)),
inference(resolve,[status(thm)],[c_8973,c_108]) ).
cnf(c_2846,plain,
subs(sK3(c81355,sK0(c81355,amerikanisch__1_1,usa_0)),stehen_1_1),
inference(resolve,[status(thm)],[c_182,c_494]) ).
cnf(c_2847,plain,
scar(sK3(c81355,sK0(c81355,amerikanisch__1_1,usa_0)),c81355),
inference(resolve,[status(thm)],[c_181,c_494]) ).
cnf(c_2848,plain,
loc(sK3(c81355,sK0(c81355,amerikanisch__1_1,usa_0)),sK0(c81355,amerikanisch__1_1,usa_0)),
inference(resolve,[status(thm)],[c_180,c_494]) ).
cnf(c_8974,negated_conjecture,
( ~ val(sK2(c81355,amerikanisch__1_1,usa_0),usa_0)
| ~ subs(B,stehen_1_1)
| ~ sub(sK2(c81355,amerikanisch__1_1,usa_0),name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,sK1(c81355,amerikanisch__1_1,usa_0)) ),
inference(resolve,[status(thm)],[c_495,c_482]) ).
cnf(c_8975,negated_conjecture,
( ~ val(sK2(c81355,amerikanisch__1_1,usa_0),usa_0)
| ~ subs(B,stehen_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,sK1(c81355,amerikanisch__1_1,usa_0)) ),
inference(resolve,[status(thm)],[c_492,c_8974]) ).
cnf(c_2896,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,sK1(c81355,amerikanisch__1_1,usa_0)) ),
inference(resolve,[status(thm)],[c_491,c_8975]) ).
cnf(c_3115,plain,
( ~ in(B,sK1(c81355,amerikanisch__1_1,usa_0))
| ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_2896,c_177]) ).
cnf(c_3403,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,B)
| ~ loc(A,sK0(c81355,amerikanisch__1_1,usa_0)) ),
inference(resolve,[status(thm)],[c_3115,c_496]) ).
cnf(c_8976,plain,
( ~ scar(sK3(c81355,sK0(c81355,amerikanisch__1_1,usa_0)),A)
| ~ loc(sK3(c81355,sK0(c81355,amerikanisch__1_1,usa_0)),sK0(c81355,amerikanisch__1_1,usa_0)) ),
inference(resolve,[status(thm)],[c_2846,c_3403]) ).
cnf(c_8967,plain,
~ scar(sK3(c81355,sK0(c81355,amerikanisch__1_1,usa_0)),A),
inference(resolve,[status(thm)],[c_2848,c_8976]) ).
cnf(c_8968,plain,
$false,
inference(resolve,[status(thm)],[c_8967,c_2847]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+10 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/10.36 % Computer : n012.cluster.edu
% 0.04/10.36 % Model : x86_64 x86_64
% 0.04/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.36 % Memory : 8046.5625MB
% 0.04/10.36 % OS : Linux 6.8.0-71-generic
% 0.04/10.36 % CPULimit : 300
% 0.04/10.36 % WCLimit : 300
% 0.04/10.36 % DateTime : Sun Sep 27 01:01:18 UTC 2026
% 0.04/10.37 % CPUTime :
% 0.04/10.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/10.37 % Process 1854341 was started by sandbox on n012,
% 0.04/10.37 % Sun Sep 27 01:01:18 2026
% 0.04/10.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 9.11/11.73
% 9.11/11.73 % SInE (scan): 65 to sos (tol 1.5x), 23 to usable (tol 2.0x), 10100 zapped, of 10188 axioms (depth 3).
% 9.11/11.73
% 9.11/11.73 % From the command line: assign(max_seconds, 300).
% 9.11/11.73
% 9.11/11.73 % given #500 (A,wt=5): 441 card(c81409,int1) # tptp_name(ave07_era5_synth_qa07_003_mira_wp_178_a270) # sine_depth(1). [clausify(35)].
% 9.11/11.73
% 9.11/11.73 % given #1000 (T,wt=5): 1760 has_card_leq(name_1_1,card_c). [ur(54,a,323,a)].
% 9.11/11.73
% 9.11/11.73 % given #1500 (A,wt=23): 825 -hsit(A,B) | -subs(B,C) | -subs(C,stehen_1_1) | -flp(D,c81401) | -scar(B,E) | -chea(A,F) | -loc(F,D). [resolve(619,b,153,c)].
% 9.11/11.73
% 9.11/11.73 % SZS status Theorem for theBenchmark
% 9.11/11.73
% 9.11/11.73 % Proof 1 at 1.07 (+ 0.20) seconds.
% 9.11/11.73 % Length of proof is 30.
% 9.11/11.73 % Level of proof is 7.
% 9.11/11.73 % Maximum clause weight is 23.000.
% 9.11/11.73 % Given clauses 1883.
% 9.11/11.73
% 9.11/11.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------