%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+29 : 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 : 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 07:07:42 AM UTC 2026
% Result : Theorem 1.55s 0.71s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 198 ( 0 equ)
% Maximal formula atoms : 106 ( 7 avg)
% Number of connectives : 221 ( 50 ~; 40 |; 129 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 106 ( 9 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 : 73 ( 17 sgn 26 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_007_mira_news_1203_a462,axiom,
( varia(c75,varia_c)
& refer(c75,refer_c)
& quant(c75,quant_c)
& gener(c75,gener_c)
& fact(c75,real)
& etype(c75,etype_c)
& card(c75,card_c)
& sort(c75,ent)
& card(c21,int3)
& sort(c21,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(c20,int7)
& sort(c20,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(c24,varia_c)
& refer(c24,refer_c)
& quant(c24,quant_c)
& gener(c24,sp)
& fact(c24,real)
& etype(c24,etype_c)
& card(c24,card_c)
& sort(c24,ta)
& sort(c24,oa)
& sort(c24,me)
& varia(c23,varia_c)
& refer(c23,refer_c)
& quant(c23,quant_c)
& gener(c23,sp)
& fact(c23,real)
& etype(c23,etype_c)
& card(c23,card_c)
& sort(c23,ta)
& sort(c23,oa)
& sort(c23,me)
& varia(c22,con)
& refer(c22,det)
& quant(c22,one)
& gener(c22,sp)
& fact(c22,real)
& etype(c22,int0)
& card(c22,int1)
& sort(c22,t)
& sort(genf_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(c16,varia_c)
& refer(c16,indet)
& quant(c16,one)
& gener(c16,sp)
& fact(c16,real)
& etype(c16,int0)
& card(c16,int1)
& sort(c16,na)
& varia(c15,con)
& refer(c15,det)
& quant(c15,one)
& gener(c15,sp)
& fact(c15,real)
& etype(c15,int0)
& card(c15,int1)
& sort(c15,io)
& sort(c15,d)
& tupl(c75,c15,c22)
& val(c24,c21)
& sub(c24,monat_1_1)
& val(c23,c20)
& sub(c23,tag_1_1)
& attr(c22,c24)
& attr(c22,c23)
& val(c16,genf_0)
& sub(c16,name_1_1)
& sub(c15,stadt__1_1)
& attr(c15,c16) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1203_a462) ).
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_007_mira_news_1203_a462,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1203_a462) ).
fof(synth_qa07_007_mira_news_1203_a462_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1203_a462]) ).
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_92,plain,
( obj(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(c15,c16),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1203_a462]) ).
cnf(c_194,plain,
sub(c16,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1203_a462]) ).
cnf(c_197,plain,
attr(c22,c24),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1203_a462]) ).
cnf(c_298,negated_conjecture,
( ~ sub(D,name_1_1)
| ~ sub(B,name_1_1)
| ~ obj(V6,A)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1203_a462_neg]) ).
cnf(c_645,negated_conjecture,
( ~ sub(c16,name_1_1)
| ~ sub(B,name_1_1)
| ~ obj(E,A)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_192,c_298]) ).
cnf(c_491,negated_conjecture,
( ~ sub(B,name_1_1)
| ~ obj(E,A)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_194,c_645]) ).
cnf(c_646,plain,
( ~ sub(c16,name_1_1)
| ~ obj(C,c15)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_491,c_192]) ).
cnf(c_647,plain,
( ~ sub(c16,name_1_1)
| ~ obj(A,c15) ),
inference(resolve,[status(thm)],[c_646,c_197]) ).
cnf(c_515,plain,
~ obj(A,c15),
inference(resolve,[status(thm)],[c_647,c_194]) ).
cnf(c_648,plain,
( obj(sK0(c16,A,c15),c15)
| ~ sub(c16,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_92,c_192]) ).
cnf(c_649,plain,
( obj(sK0(c16,name_1_1,c15),c15)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_648,c_194]) ).
cnf(c_522,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_649,c_515]) ).
cnf(c_643,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_522,c_57]) ).
cnf(c_650,plain,
~ member(name_1_1,cons(name_1_1,nil)),
inference(resolve,[status(thm)],[c_643,c_57]) ).
cnf(c_644,plain,
$false,
inference(resolve,[status(thm)],[c_56,c_650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR115+29 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n001.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 01:13:28 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.41 % Process 3059351 was started by sandbox on n001,
% 0.13/0.41 % Sun Sep 27 01:13:28 2026
% 0.13/0.41 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.55/0.71
% 1.55/0.71 % SInE (scan): 72 to sos (tol 1.5x), 17 to usable (tol 2.0x), 10099 zapped, of 10188 axioms (depth 3).
% 1.55/0.71
% 1.55/0.71 % From the command line: assign(max_seconds, 300).
% 1.55/0.71
% 1.55/0.71 % SZS status Theorem for theBenchmark
% 1.55/0.71
% 1.55/0.71 % Proof 1 at 0.12 (+ 0.06) seconds.
% 1.55/0.71 % Length of proof is 17.
% 1.55/0.71 % Level of proof is 6.
% 1.55/0.71 % Maximum clause weight is 18.000.
% 1.55/0.71 % Given clauses 103.
% 1.55/0.71
% 1.55/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------