%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+8 : 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 : n015.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 07:07:35 AM UTC 2026
% Result : Theorem 0.14s 15.63s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 331 ( 0 equ)
% Maximal formula atoms : 254 ( 13 avg)
% Number of connectives : 346 ( 40 ~; 31 |; 273 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 254 ( 14 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-9 aty)
% Number of functors : 69 ( 69 usr; 67 con; 0-3 aty)
% Number of variables : 61 ( 14 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_news_520_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(c92,varia_c)
& refer(c92,refer_c)
& quant(c92,quant_c)
& gener(c92,gener_c)
& fact(c92,real)
& etype(c92,etype_c)
& card(c92,card_c)
& sort(c92,ent)
& varia(c78559,varia_c)
& refer(c78559,det)
& quant(c78559,one)
& gener(c78559,sp)
& fact(c78559,real)
& etype(c78559,int0)
& card(c78559,int1)
& sort(c78559,d)
& varia(c79332,varia_c)
& refer(c79332,refer_c)
& quant(c79332,quant_c)
& gener(c79332,gener_c)
& fact(c79332,real)
& etype(c79332,etype_c)
& card(c79332,card_c)
& sort(c79332,ent)
& sort(new_york_0,fe)
& varia(c78631,varia_c)
& refer(c78631,indet)
& quant(c78631,one)
& gener(c78631,sp)
& fact(c78631,real)
& etype(c78631,int0)
& card(c78631,int1)
& sort(c78631,na)
& varia(c78630,con)
& refer(c78630,det)
& quant(c78630,one)
& gener(c78630,sp)
& fact(c78630,real)
& etype(c78630,int0)
& card(c78630,int1)
& sort(c78630,io)
& sort(c78630,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(c78624,con)
& refer(c78624,det)
& quant(c78624,one)
& gener(c78624,sp)
& fact(c78624,real)
& etype(c78624,int0)
& card(c78624,int1)
& sort(c78624,d)
& varia(wort_2_1,varia_c)
& refer(wort_2_1,refer_c)
& quant(wort_2_1,one)
& gener(wort_2_1,ge)
& fact(wort_2_1,real)
& etype(wort_2_1,int0)
& card(wort_2_1,int1)
& sort(wort_2_1,io)
& sort(wort_2_1,d)
& varia(c78615,varia_c)
& refer(c78615,indet)
& quant(c78615,mult)
& gener(c78615,gener_c)
& fact(c78615,real)
& etype(c78615,int1)
& card(c78615,cons(x_constant,cons(int1,nil)))
& sort(c78615,io)
& sort(c78615,d)
& sort(ber__374hmt_1_1,nq)
& varia(c78613,con)
& refer(c78613,det)
& quant(c78613,mult)
& gener(c78613,sp)
& fact(c78613,real)
& etype(c78613,int1)
& card(c78613,cons(x_constant,cons(int1,nil)))
& sort(c78613,o)
& 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(c78588,con)
& refer(c78588,det)
& quant(c78588,one)
& gener(c78588,sp)
& fact(c78588,real)
& etype(c78588,int0)
& card(c78588,int1)
& sort(c78588,io)
& sort(c78588,as)
& varia(sich_1_1,varia_c)
& refer(sich_1_1,refer_c)
& quant(sich_1_1,one)
& gener(sich_1_1,gener_c)
& fact(sich_1_1,real)
& etype(sich_1_1,int0)
& card(sich_1_1,int1)
& sort(sich_1_1,o)
& varia(c78582,varia_c)
& refer(c78582,refer_c)
& quant(c78582,one)
& gener(c78582,gener_c)
& fact(c78582,real)
& etype(c78582,int0)
& card(c78582,int1)
& sort(c78582,o)
& varia(masse_1_1,varia_c)
& refer(masse_1_1,refer_c)
& quant(masse_1_1,quant_c)
& gener(masse_1_1,ge)
& fact(masse_1_1,real)
& etype(masse_1_1,int1)
& card(masse_1_1,card_c)
& sort(masse_1_1,io)
& varia(c78576,varia_c)
& refer(c78576,indet)
& quant(c78576,mult)
& gener(c78576,gener_c)
& fact(c78576,real)
& etype(c78576,int2)
& card(c78576,cons(x_constant,cons(int1,nil)))
& sort(c78576,io)
& card(c24,int3)
& sort(c24,nu)
& varia(monat_1_1,varia_c)
& refer(monat_1_1,refer_c)
& quant(monat_1_1,quant_c)
& gener(monat_1_1,ge)
& fact(monat_1_1,real)
& etype(monat_1_1,etype_c)
& card(monat_1_1,card_c)
& sort(monat_1_1,ta)
& sort(monat_1_1,oa)
& sort(monat_1_1,me)
& card(c23,int2)
& sort(c23,nu)
& varia(tag_1_1,varia_c)
& refer(tag_1_1,refer_c)
& quant(tag_1_1,quant_c)
& gener(tag_1_1,ge)
& fact(tag_1_1,real)
& etype(tag_1_1,etype_c)
& card(tag_1_1,card_c)
& sort(tag_1_1,ta)
& sort(tag_1_1,oa)
& sort(tag_1_1,me)
& varia(c27,varia_c)
& refer(c27,refer_c)
& quant(c27,quant_c)
& gener(c27,sp)
& fact(c27,real)
& etype(c27,etype_c)
& card(c27,card_c)
& sort(c27,ta)
& sort(c27,oa)
& sort(c27,me)
& varia(c26,varia_c)
& refer(c26,refer_c)
& quant(c26,quant_c)
& gener(c26,sp)
& fact(c26,real)
& etype(c26,etype_c)
& card(c26,card_c)
& sort(c26,ta)
& sort(c26,oa)
& sort(c26,me)
& varia(c25,con)
& refer(c25,det)
& quant(c25,one)
& gener(c25,sp)
& fact(c25,real)
& etype(c25,int0)
& card(c25,int1)
& sort(c25,t)
& sort(washington_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(c19,varia_c)
& refer(c19,indet)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,na)
& varia(c18,con)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,io)
& sort(c18,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl(c92,c18,c25)
& tupl_p9(c79332,c78559,c78576,c78582,c78588,c78613,c78615,c78624,c78630)
& val(c78631,new_york_0)
& sub(c78631,name_1_1)
& sub(c78630,stadt__1_1)
& attr(c78630,c78631)
& sub(c78624,freiheitsstatue_1_1)
& pred(c78615,wort_2_1)
& prop(c78613,ber__374hmt_1_1)
& sub(c78588,freiheit_1_1)
& sub(c78582,sich_1_1)
& pred(c78576,masse_1_1)
& val(c27,c24)
& sub(c27,monat_1_1)
& val(c26,c23)
& sub(c26,tag_1_1)
& attr(c25,c27)
& attr(c25,c26)
& val(c19,washington_0)
& sub(c19,name_1_1)
& sub(c18,stadt__1_1)
& attr(c18,c19) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_news_520_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_news_520_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_news_520_a19713) ).
fof(synth_qa07_003_mira_news_520_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_news_520_a19713]) ).
fof(nnf_53,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_53]) ).
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_91,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_122,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_123,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_220,plain,
attr(c78630,c78631),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_news_520_a19713]) ).
cnf(c_222,plain,
sub(c78631,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_news_520_a19713]) ).
cnf(c_223,plain,
val(c78631,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_news_520_a19713]) ).
cnf(c_456,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_news_520_a19713_neg]) ).
cnf(c_488,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_123,c_122]) ).
cnf(c_867,negated_conjecture,
( ~ val(c78631,new_york_0)
| ~ sub(c78631,name_1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_220,c_456]) ).
cnf(c_868,negated_conjecture,
( ~ val(c78631,new_york_0)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_222,c_867]) ).
cnf(c_644,negated_conjecture,
~ scar(A,B),
inference(resolve,[status(thm)],[c_223,c_868]) ).
cnf(c_645,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_644,c_91]) ).
cnf(c_869,plain,
( ~ sub(c78631,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_645,c_220]) ).
cnf(c_832,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_869,c_222]) ).
cnf(c_870,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_832,c_123]) ).
cnf(c_866,plain,
$false,
inference(resolve,[status(thm)],[c_488,c_870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR113+8 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.39 % Computer : n015.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Sun Sep 27 01:07:59 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/15.39 % Process 1142358 was started by sandbox on n015,
% 0.10/15.39 % Sun Sep 27 01:07:59 2026
% 0.10/15.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/15.63
% 0.14/15.63 % SInE (scan): 76 to sos (tol 1.5x), 21 to usable (tol 2.0x), 10091 zapped, of 10188 axioms (depth 3).
% 0.14/15.63
% 0.14/15.63 % From the command line: assign(max_seconds, 300).
% 0.14/15.63
% 0.14/15.63 % SZS status Theorem for theBenchmark
% 0.14/15.63
% 0.14/15.63 % Proof 1 at 0.13 (+ 0.03) seconds.
% 0.14/15.63 % Length of proof is 17.
% 0.14/15.63 % Level of proof is 5.
% 0.14/15.63 % Maximum clause weight is 15.000.
% 0.14/15.63 % Given clauses 189.
% 0.14/15.63
% 0.14/15.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------