%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+31 : 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 : n005.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 07:07:34 AM UTC 2026
% Result : Theorem 4.00s 1.09s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 266 ( 0 equ)
% Maximal formula atoms : 189 ( 10 avg)
% Number of connectives : 280 ( 39 ~; 31 |; 208 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 189 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 53 ( 53 usr; 51 con; 0-3 aty)
% Number of variables : 66 ( 19 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_qw2_50_a19713,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(verfasserin_1_1,varia_c)
& refer(verfasserin_1_1,refer_c)
& quant(verfasserin_1_1,one)
& gener(verfasserin_1_1,ge)
& fact(verfasserin_1_1,real)
& etype(verfasserin_1_1,int0)
& card(verfasserin_1_1,int1)
& sort(verfasserin_1_1,d)
& varia(c87,varia_c)
& refer(c87,det)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,d)
& varia(c86,varia_c)
& refer(c86,det)
& quant(c86,one)
& gener(c86,sp)
& fact(c86,real)
& etype(c86,int0)
& card(c86,int1)
& sort(c86,o)
& sort(new_york_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(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(c85,varia_c)
& refer(c85,indet)
& quant(c85,one)
& gener(c85,sp)
& fact(c85,real)
& etype(c85,int0)
& card(c85,int1)
& sort(c85,na)
& varia(c84,con)
& refer(c84,det)
& quant(c84,one)
& gener(c84,sp)
& fact(c84,real)
& etype(c84,int0)
& card(c84,int1)
& sort(c84,io)
& sort(c84,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(c79,con)
& refer(c79,det)
& quant(c79,one)
& gener(c79,sp)
& fact(c79,real)
& etype(c79,int0)
& card(c79,int1)
& sort(c79,d)
& varia(strophe_1_1,varia_c)
& refer(strophe_1_1,refer_c)
& quant(strophe_1_1,one)
& gener(strophe_1_1,ge)
& fact(strophe_1_1,real)
& etype(strophe_1_1,int0)
& card(strophe_1_1,int1)
& sort(strophe_1_1,io)
& sort(strophe_1_1,d)
& varia(c97,con)
& refer(c97,det)
& quant(c97,nfquant)
& gener(c97,sp)
& fact(c97,hypo)
& etype(c97,int1)
& card(c97,int2)
& sort(c97,d)
& sort(jacob_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(c71,varia_c)
& refer(c71,indet)
& quant(c71,one)
& gener(c71,sp)
& fact(c71,real)
& etype(c71,int0)
& card(c71,int1)
& sort(c71,na)
& gener(hinweisen_1_1,ge)
& fact(hinweisen_1_1,real)
& sort(hinweisen_1_1,da)
& varia(c70,con)
& refer(c70,det)
& quant(c70,one)
& gener(c70,sp)
& fact(c70,real)
& etype(c70,int0)
& card(c70,int1)
& sort(c70,d)
& varia(c74,con)
& refer(c74,det)
& quant(c74,mult)
& gener(c74,sp)
& fact(c74,hypo)
& etype(c74,int1)
& card(c74,cons(x_constant,cons(int1,nil)))
& sort(c74,io)
& sort(c74,d)
& sort(aufmerksam_1_1,nq)
& varia(c1,varia_c)
& refer(c1,det)
& quant(c1,one)
& gener(c1,sp)
& fact(c1,real)
& etype(c1,int0)
& card(c1,int1)
& sort(c1,o)
& gener(c4,sp)
& fact(c4,real)
& sort(c4,da)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& itms(c97,c79,c87)
& sub(c87,verfasserin_1_1)
& attch(c86,c87)
& val(c85,new_york_0)
& sub(c85,name_1_1)
& sub(c84,stadt__1_1)
& attr(c84,c85)
& attch(c84,c79)
& sub(c79,freiheitsstatue_1_1)
& pred(c74,strophe_1_1)
& mcont(c74,c97)
& val(c71,jacob_0)
& sub(c71,familiename_1_1)
& sub(c70,mensch_1_1)
& attr(c70,c71)
& subs(c4,hinweisen_1_1)
& ornt(c4,c70)
& obj(c4,c74)
& mcont(c4,c74)
& assoc(c4,aufmerksam_1_1)
& agt(c4,c1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_qw2_50_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_qw2_50_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_qw2_50_a19713) ).
fof(synth_qa07_003_qw2_50_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_qw2_50_a19713]) ).
fof(nnf_65,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_65]) ).
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_130,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_170,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_171,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_279,plain,
attr(c84,c85),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_qw2_50_a19713]) ).
cnf(c_281,plain,
sub(c85,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_qw2_50_a19713]) ).
cnf(c_282,plain,
val(c85,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_qw2_50_a19713]) ).
cnf(c_452,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_qw2_50_a19713_neg]) ).
cnf(c_513,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_171,c_170]) ).
cnf(c_3719,negated_conjecture,
( ~ val(c85,new_york_0)
| ~ sub(c85,name_1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_279,c_452]) ).
cnf(c_3720,negated_conjecture,
( ~ val(c85,new_york_0)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_281,c_3719]) ).
cnf(c_751,negated_conjecture,
~ scar(A,B),
inference(resolve,[status(thm)],[c_282,c_3720]) ).
cnf(c_752,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_751,c_130]) ).
cnf(c_3674,plain,
member(A,cons(B,cons(C,cons(A,D)))),
inference(resolve,[status(thm)],[c_171,c_513]) ).
cnf(c_3721,plain,
( ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,c85) ),
inference(resolve,[status(thm)],[c_752,c_281]) ).
cnf(c_3717,plain,
~ attr(A,c85),
inference(resolve,[status(thm)],[c_3674,c_3721]) ).
cnf(c_3718,plain,
$false,
inference(resolve,[status(thm)],[c_3717,c_279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR113+31 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n005.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 01:03:32 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.43 % Process 3485191 was started by sandbox on n005,
% 0.15/0.43 % Sun Sep 27 01:03:32 2026
% 0.15/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 4.00/1.09
% 4.00/1.09 % SInE (scan): 82 to sos (tol 1.5x), 29 to usable (tol 2.0x), 10077 zapped, of 10188 axioms (depth 3).
% 4.00/1.09
% 4.00/1.09 % From the command line: assign(max_seconds, 300).
% 4.00/1.09
% 4.00/1.09 % given #500 (F,wt=9): 1741 -scarrel(A,name_1_1) | -sub(stadt__1_1,B) | -sub(B,c85). [resolve(1713,b,207,c)].
% 4.00/1.09
% 4.00/1.09 % SZS status Theorem for theBenchmark
% 4.00/1.09
% 4.00/1.09 % Proof 1 at 0.43 (+ 0.09) seconds.
% 4.00/1.09 % Length of proof is 18.
% 4.00/1.09 % Level of proof is 5.
% 4.00/1.09 % Maximum clause weight is 15.000.
% 4.00/1.09 % Given clauses 837.
% 4.00/1.09
% 4.00/1.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------