%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+8 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 0.25s 0.63s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 106 ( 7 avg)
% Number of connectives : 210 ( 46 ~; 35 |; 127 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 106 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 44 con; 0-3 aty)
% Number of variables : 60 ( 13 sgn 26 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_004_mira_news_550,axiom,
( varia(c59,varia_c)
& refer(c59,refer_c)
& quant(c59,quant_c)
& gener(c59,gener_c)
& fact(c59,real)
& etype(c59,etype_c)
& card(c59,card_c)
& sort(c59,ent)
& card(c17,int3)
& sort(c17,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(c16,int6)
& sort(c16,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(c20,varia_c)
& refer(c20,refer_c)
& quant(c20,quant_c)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,etype_c)
& card(c20,card_c)
& sort(c20,ta)
& sort(c20,oa)
& sort(c20,me)
& varia(c19,varia_c)
& refer(c19,refer_c)
& quant(c19,quant_c)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,etype_c)
& card(c19,card_c)
& sort(c19,ta)
& sort(c19,oa)
& sort(c19,me)
& varia(c18,con)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,t)
& sort(rom_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(c12,varia_c)
& refer(c12,indet)
& quant(c12,one)
& gener(c12,sp)
& fact(c12,real)
& etype(c12,int0)
& card(c12,int1)
& sort(c12,na)
& varia(c11,con)
& refer(c11,det)
& quant(c11,one)
& gener(c11,sp)
& fact(c11,real)
& etype(c11,int0)
& card(c11,int1)
& sort(c11,io)
& sort(c11,d)
& tupl(c59,c11,c18)
& val(c20,c17)
& sub(c20,monat_1_1)
& val(c19,c16)
& sub(c19,tag_1_1)
& attr(c18,c20)
& attr(c18,c19)
& val(c12,rom_0)
& sub(c12,name_1_1)
& sub(c11,stadt__1_1)
& attr(c11,c12) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_mira_news_550) ).
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(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_004_mira_news_550,conjecture,
? [X0,X1,X2,X3] :
( val(X1,rom_0)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_004_mira_news_550) ).
fof(synth_qa07_004_mira_news_550_neg,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( val(X1,rom_0)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_mira_news_550]) ).
cnf(c_56,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_57,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
fof(nnf_49,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_49]) ).
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_95,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_192,plain,
attr(c11,c12),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_news_550]) ).
cnf(c_193,plain,
sub(c11,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_news_550]) ).
cnf(c_194,plain,
sub(c12,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_news_550]) ).
cnf(c_195,plain,
val(c12,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_news_550]) ).
cnf(c_298,negated_conjecture,
( ~ val(B,rom_0)
| ~ sub(A,stadt__1_1)
| ~ sub(B,name_1_1)
| ~ scar(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_mira_news_550_neg]) ).
cnf(c_704,negated_conjecture,
( ~ val(c12,rom_0)
| ~ sub(c11,stadt__1_1)
| ~ sub(c12,name_1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_192,c_298]) ).
cnf(c_705,negated_conjecture,
( ~ val(c12,rom_0)
| ~ sub(c11,stadt__1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_194,c_704]) ).
cnf(c_706,negated_conjecture,
( ~ val(c12,rom_0)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_193,c_705]) ).
cnf(c_449,negated_conjecture,
~ scar(A,B),
inference(resolve,[status(thm)],[c_195,c_706]) ).
cnf(c_450,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_449,c_95]) ).
cnf(c_707,plain,
( ~ sub(c12,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_450,c_192]) ).
cnf(c_640,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_707,c_194]) ).
cnf(c_702,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_640,c_57]) ).
cnf(c_708,plain,
~ member(name_1_1,cons(name_1_1,nil)),
inference(resolve,[status(thm)],[c_702,c_57]) ).
cnf(c_703,plain,
$false,
inference(resolve,[status(thm)],[c_56,c_708]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+8 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 01:12:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 3055856 was started by sandbox2 on n001,
% 0.10/0.38 % Sun Sep 27 01:12:15 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.25/0.63
% 0.25/0.63 % SInE (scan): 72 to sos (tol 1.5x), 17 to usable (tol 2.0x), 10099 zapped, of 10188 axioms (depth 3).
% 0.25/0.63
% 0.25/0.63 % From the command line: assign(max_seconds, 300).
% 0.25/0.63
% 0.25/0.63 % SZS status Theorem for theBenchmark
% 0.25/0.63
% 0.25/0.63 % Proof 1 at 0.06 (+ 0.03) seconds.
% 0.25/0.63 % Length of proof is 18.
% 0.25/0.63 % Level of proof is 6.
% 0.25/0.63 % Maximum clause weight is 15.000.
% 0.25/0.63 % Given clauses 179.
% 0.25/0.63
% 0.25/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------