%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+22 : 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 : n011.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 07:07:33 AM UTC 2026
% Result : Theorem 1.97s 0.73s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 340 ( 0 equ)
% Maximal formula atoms : 262 ( 13 avg)
% Number of connectives : 353 ( 39 ~; 31 |; 281 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 262 ( 14 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-9 aty)
% Number of functors : 64 ( 64 usr; 62 con; 0-3 aty)
% Number of variables : 62 ( 16 sgn 26 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(member_second,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('theBenchmark.p',member_second) ).
fof(ave07_era5_synth_qa07_003_mira_wp_245_a19713,axiom,
( varia(ort_1_2,varia_c)
& refer(ort_1_2,refer_c)
& quant(ort_1_2,one)
& gener(ort_1_2,ge)
& fact(ort_1_2,real)
& etype(ort_1_2,int0)
& card(ort_1_2,int1)
& sort(ort_1_2,d)
& varia(stand_1_1,varia_c)
& refer(stand_1_1,refer_c)
& quant(stand_1_1,one)
& gener(stand_1_1,ge)
& fact(stand_1_1,real)
& etype(stand_1_1,int0)
& card(stand_1_1,int1)
& sort(stand_1_1,d)
& 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(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(c96,con)
& refer(c96,det)
& quant(c96,one)
& gener(c96,sp)
& fact(c96,real)
& etype(c96,int0)
& card(c96,int1)
& sort(c96,d)
& varia(standort_1_1,varia_c)
& refer(standort_1_1,refer_c)
& quant(standort_1_1,one)
& gener(standort_1_1,ge)
& fact(standort_1_1,real)
& etype(standort_1_1,int0)
& card(standort_1_1,int1)
& sort(standort_1_1,d)
& sort(bay_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(c84,varia_c)
& refer(c84,indet)
& quant(c84,one)
& gener(c84,sp)
& fact(c84,real)
& etype(c84,int0)
& card(c84,int1)
& sort(c84,na)
& sort(new_york_0,fe)
& 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(c80,varia_c)
& refer(c80,indet)
& quant(c80,one)
& gener(c80,sp)
& fact(c80,real)
& etype(c80,int0)
& card(c80,int1)
& sort(c80,na)
& varia(upper_1_1,varia_c)
& refer(upper_1_1,refer_c)
& quant(upper_1_1,one)
& gener(upper_1_1,ge)
& fact(upper_1_1,real)
& etype(upper_1_1,int0)
& card(upper_1_1,int1)
& sort(upper_1_1,o)
& 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)
& sort(unbesiedelt_1_1,ql)
& sort(klein_1_1,mq)
& sort(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(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,one)
& gener(gebietsinstitution_1_1,ge)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,int0)
& card(gebietsinstitution_1_1,int1)
& sort(gebietsinstitution_1_1,io)
& sort(gebietsinstitution_1_1,d)
& varia(c57,varia_c)
& refer(c57,indet)
& quant(c57,one)
& gener(c57,sp)
& fact(c57,real)
& etype(c57,int0)
& card(c57,int1)
& sort(c57,na)
& varia(bedloe_1_1,varia_c)
& refer(bedloe_1_1,refer_c)
& quant(bedloe_1_1,one)
& gener(bedloe_1_1,ge)
& fact(bedloe_1_1,real)
& etype(bedloe_1_1,int0)
& card(bedloe_1_1,int1)
& sort(bedloe_1_1,o)
& varia(freiheitsinsel_1_1,varia_c)
& refer(freiheitsinsel_1_1,refer_c)
& quant(freiheitsinsel_1_1,one)
& gener(freiheitsinsel_1_1,ge)
& fact(freiheitsinsel_1_1,real)
& etype(freiheitsinsel_1_1,int0)
& card(freiheitsinsel_1_1,int1)
& sort(freiheitsinsel_1_1,d)
& varia(c92,varia_c)
& refer(c92,det)
& quant(c92,one)
& gener(c92,sp)
& fact(c92,real)
& etype(c92,int0)
& card(c92,int1)
& sort(c92,d)
& varia(c83,con)
& refer(c83,det)
& quant(c83,one)
& gener(c83,sp)
& fact(c83,real)
& etype(c83,int0)
& card(c83,int1)
& sort(c83,d)
& varia(c79,con)
& refer(c79,det)
& quant(c79,one)
& gener(c79,sp)
& fact(c79,real)
& etype(c79,int0)
& card(c79,int1)
& sort(c79,io)
& sort(c79,d)
& varia(c74,con)
& refer(c74,det)
& quant(c74,one)
& gener(c74,sp)
& fact(c74,real)
& etype(c74,int0)
& card(c74,int1)
& sort(c74,o)
& varia(c69,varia_c)
& refer(c69,indet)
& quant(c69,one)
& gener(c69,sp)
& fact(c69,real)
& etype(c69,int0)
& card(c69,int1)
& sort(c69,d)
& varia(c56,con)
& refer(c56,det)
& quant(c56,one)
& gener(c56,sp)
& fact(c56,real)
& etype(c56,int0)
& card(c56,int1)
& sort(c56,io)
& sort(c56,d)
& varia(c39,varia_c)
& refer(c39,indet)
& quant(c39,mult)
& gener(c39,gener_c)
& fact(c39,real)
& etype(c39,int1)
& card(c39,cons(x_constant,cons(int1,nil)))
& sort(c39,o)
& varia(c28,varia_c)
& refer(c28,refer_c)
& quant(c28,one)
& gener(c28,gener_c)
& fact(c28,real)
& etype(c28,int0)
& card(c28,int1)
& sort(c28,d)
& varia(c188,varia_c)
& refer(c188,refer_c)
& quant(c188,quant_c)
& gener(c188,gener_c)
& fact(c188,real)
& etype(c188,etype_c)
& card(c188,card_c)
& sort(c188,ent)
& sub(standort_1_1,ort_1_2)
& assoc(standort_1_1,stand_1_1)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& sub(freiheitsinsel_1_1,insel__1_1)
& assoc(freiheitsinsel_1_1,freiheit_1_1)
& sub(c96,freiheitsstatue_1_1)
& attch(c96,c92)
& sub(c92,standort_1_1)
& val(c84,bay_0)
& sub(c84,familiename_1_1)
& sub(c83,mensch_1_1)
& attr(c83,c84)
& val(c80,new_york_0)
& sub(c80,name_1_1)
& sub(c79,stadt__1_1)
& attr(c79,c80)
& sub(c74,upper_1_1)
& sub(c69,insel__1_1)
& prop(c69,unbesiedelt_1_1)
& prop(c69,klein_1_1)
& val(c57,island_0)
& sub(c57,name_1_1)
& sub(c56,gebietsinstitution_1_1)
& attr(c56,c57)
& pred(c39,bedloe_1_1)
& sub(c28,freiheitsinsel_1_1)
& tupl_p9(c188,c28,c39,c56,c69,c74,c79,c83,c92) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_245_a19713) ).
fof(attr_name__abk__374rzung_stehen_1_b_f__374r,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,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).
fof(synth_qa07_003_mira_wp_245_a19713,conjecture,
? [X0,X1,X2,X3] :
( val(X0,new_york_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
file('theBenchmark.p',synth_qa07_003_mira_wp_245_a19713) ).
fof(synth_qa07_003_mira_wp_245_a19713_neg,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( val(X0,new_york_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_245_a19713]) ).
fof(nnf_63,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(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__abk__374rzung_stehen_1_b_f__374r]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk,plain,
! [X0,X1,X2] :
( ( subs(sK0(X0,X1,X2),stehen_1_b)
& scar(sK0(X0,X1,X2),X2)
& obj(sK0(X0,X1,X2),X2)
& mcont(sK0(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,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_63]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_1,VAR_2,VAR_0),stehen_1_b)
| ~ 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] :
( scar(sK0(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] :
( obj(sK0(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] :
( mcont(sK0(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__abk__374rzung_stehen_1_b_f__374r_sk]) ).
cnf(c_122,plain,
( scar(sK0(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__abk__374rzung_stehen_1_b_f__374r]) ).
cnf(c_157,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_158,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_264,plain,
attr(c79,c80),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).
cnf(c_266,plain,
sub(c80,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).
cnf(c_267,plain,
val(c80,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).
cnf(c_268,plain,
attr(c83,c84),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).
cnf(c_270,plain,
sub(c84,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).
cnf(c_513,negated_conjecture,
( ~ val(B,new_york_0)
| ~ sub(B,name_1_1)
| ~ scar(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_mira_wp_245_a19713_neg]) ).
cnf(c_514,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_158,c_157]) ).
cnf(c_2413,negated_conjecture,
( ~ val(c80,new_york_0)
| ~ sub(c80,name_1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_264,c_513]) ).
cnf(c_2414,negated_conjecture,
( ~ val(c80,new_york_0)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_266,c_2413]) ).
cnf(c_645,negated_conjecture,
~ scar(A,B),
inference(resolve,[status(thm)],[c_267,c_2414]) ).
cnf(c_646,plain,
( ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_645,c_122]) ).
cnf(c_2415,plain,
( ~ member(familiename_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,c84) ),
inference(resolve,[status(thm)],[c_646,c_270]) ).
cnf(c_2411,plain,
~ attr(A,c84),
inference(resolve,[status(thm)],[c_514,c_2415]) ).
cnf(c_2412,plain,
$false,
inference(resolve,[status(thm)],[c_2411,c_268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+22 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 01:03:14 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1905294 was started by sandbox on n011,
% 0.09/0.37 % Sun Sep 27 01:03:14 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.97/0.73
% 1.97/0.73 % SInE (scan): 81 to sos (tol 1.5x), 25 to usable (tol 2.0x), 10082 zapped, of 10188 axioms (depth 3).
% 1.97/0.73
% 1.97/0.73 % From the command line: assign(max_seconds, 300).
% 1.97/0.73
% 1.97/0.73 % given #500 (F,wt=8): 2103 -scarrel(A,insel__1_1) | -sub(freiheitsstatue_1_1,c28). [resolve(1173,c,254,a)].
% 1.97/0.73
% 1.97/0.73 % SZS status Theorem for theBenchmark
% 1.97/0.73
% 1.97/0.73 % Proof 1 at 0.20 (+ 0.05) seconds.
% 1.97/0.73 % Length of proof is 19.
% 1.97/0.73 % Level of proof is 5.
% 1.97/0.73 % Maximum clause weight is 27.000.
% 1.97/0.73 % Given clauses 563.
% 1.97/0.73
% 1.97/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------