%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+27 : 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 : n018.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 07:07:41 AM UTC 2026
% Result : Theorem 2.22s 0.86s
% Output : CNFRefutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 375 ( 0 equ)
% Maximal formula atoms : 244 ( 10 avg)
% Number of connectives : 416 ( 77 ~; 63 |; 273 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 244 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-7 aty)
% Number of functors : 71 ( 71 usr; 69 con; 0-3 aty)
% Number of variables : 92 ( 18 sgn 28 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(has_card_eq,axiom,
! [X0,X1] :
( card(X0,X1)
=> has_card_leq(X0,X1) ),
file('theBenchmark.p',has_card_eq) ).
fof(ave07_era5_synth_qa07_007_mira_news_1195,axiom,
( varia(gewinn_1_1,varia_c)
& refer(gewinn_1_1,refer_c)
& quant(gewinn_1_1,one)
& gener(gewinn_1_1,ge)
& fact(gewinn_1_1,real)
& etype(gewinn_1_1,int0)
& card(gewinn_1_1,int1)
& sort(gewinn_1_1,d)
& gener(million_1_1,ge)
& sort(million_1_1,me)
& card(c92,int697)
& sort(c92,nu)
& gener(hundertstel__1_1,ge)
& sort(hundertstel__1_1,me)
& card(c86,int35)
& sort(c86,nu)
& card(c80,int1994)
& sort(c80,nu)
& varia(jahr__1_1,varia_c)
& refer(jahr__1_1,refer_c)
& quant(jahr__1_1,quant_c)
& gener(jahr__1_1,ge)
& fact(jahr__1_1,real)
& etype(jahr__1_1,etype_c)
& card(jahr__1_1,card_c)
& sort(jahr__1_1,ta)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,me)
& varia(c85,varia_c)
& refer(c85,refer_c)
& quant(c85,quant_c)
& gener(c85,sp)
& fact(c85,real)
& etype(c85,etype_c)
& card(c85,card_c)
& sort(c85,ta)
& sort(c85,oa)
& sort(c85,me)
& varia(konzerngewinn_1_1,varia_c)
& refer(konzerngewinn_1_1,refer_c)
& quant(konzerngewinn_1_1,one)
& gener(konzerngewinn_1_1,ge)
& fact(konzerngewinn_1_1,real)
& etype(konzerngewinn_1_1,int0)
& card(konzerngewinn_1_1,int1)
& sort(konzerngewinn_1_1,d)
& varia(firmengruppe_1_1,varia_c)
& refer(firmengruppe_1_1,refer_c)
& quant(firmengruppe_1_1,one)
& gener(firmengruppe_1_1,ge)
& fact(firmengruppe_1_1,real)
& etype(firmengruppe_1_1,int0)
& card(firmengruppe_1_1,int1)
& sort(firmengruppe_1_1,io)
& sort(firmengruppe_1_1,d)
& varia(bmw_1_1,varia_c)
& refer(bmw_1_1,refer_c)
& quant(bmw_1_1,one)
& gener(bmw_1_1,ge)
& fact(bmw_1_1,real)
& etype(bmw_1_1,int0)
& card(bmw_1_1,int1)
& sort(bmw_1_1,d)
& varia(c47,varia_c)
& refer(c47,refer_c)
& quant(c47,quant_c)
& gener(c47,gener_c)
& fact(c47,real)
& etype(c47,etype_c)
& card(c47,card_c)
& sort(c47,ent)
& gener(mark_1_1,ge)
& sort(mark_1_1,me)
& fact(c324,real)
& sort(c324,me)
& varia(c95,con)
& refer(c95,refer_c)
& quant(c95,quant_c)
& gener(c95,gener_c)
& fact(c95,real)
& etype(c95,etype_c)
& card(c95,card_c)
& sort(c95,m)
& sort(c95,co)
& varia(c91,con)
& refer(c91,refer_c)
& quant(c91,quant_c)
& gener(c91,gener_c)
& fact(c91,real)
& etype(c91,etype_c)
& card(c91,card_c)
& sort(c91,m)
& sort(c91,co)
& varia(c84,con)
& refer(c84,det)
& quant(c84,one)
& gener(c84,sp)
& fact(c84,real)
& etype(c84,int0)
& card(c84,int1)
& sort(c84,t)
& 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(c72,varia_c)
& refer(c72,refer_c)
& quant(c72,one)
& gener(c72,gener_c)
& fact(c72,real)
& etype(c72,int0)
& card(c72,int1)
& sort(c72,io)
& sort(c72,d)
& varia(c68,con)
& refer(c68,det)
& quant(c68,one)
& gener(c68,sp)
& fact(c68,real)
& etype(c68,int0)
& card(c68,int1)
& sort(c68,d)
& varia(c319,varia_c)
& refer(c319,refer_c)
& quant(c319,quant_c)
& gener(c319,gener_c)
& fact(c319,real)
& etype(c319,etype_c)
& card(c319,card_c)
& sort(c319,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,int16)
& 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(m__374nchen_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)
& sub(konzerngewinn_1_1,gewinn_1_1)
& assoc(konzerngewinn_1_1,firmengruppe_1_1)
& quant_p3(c95,c92,million_1_1)
& quant_p3(c91,c86,hundertstel__1_1)
& val(c85,c80)
& sub(c85,jahr__1_1)
& attr(c84,c85)
& sub(c79,konzerngewinn_1_1)
& sub(c72,firmengruppe_1_1)
& sub(c68,bmw_1_1)
& tupl(c47,c11,c18)
& sub(c324,mark_1_1)
& tupl_p7(c319,c68,c72,c79,c84,c91,c95)
& val(c20,c17)
& sub(c20,monat_1_1)
& val(c19,c16)
& sub(c19,tag_1_1)
& attr(c18,c20)
& attr(c18,c19)
& val(c12,m__374nchen_0)
& sub(c12,name_1_1)
& sub(c11,stadt__1_1)
& attr(c11,c12) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1195) ).
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_1195,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& sub(X6,jahr__1_1)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& has_card_leq(X7,int1994)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1195) ).
fof(synth_qa07_007_mira_news_1195_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& sub(X6,jahr__1_1)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& has_card_leq(X7,int1994)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1195]) ).
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_90,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_139,plain,
( has_card_leq(A,B)
| ~ card(A,B) ),
inference(clausify,[status(thm)],[has_card_eq]) ).
cnf(c_196,plain,
attr(c11,c12),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).
cnf(c_198,plain,
sub(c12,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).
cnf(c_212,plain,
attr(c84,c85),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).
cnf(c_213,plain,
sub(c85,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).
cnf(c_214,plain,
val(c85,c80),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).
cnf(c_423,plain,
card(c80,int1994),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).
cnf(c_440,negated_conjecture,
( ~ val(F,V6)
| ~ sub(F,jahr__1_1)
| ~ sub(D,name_1_1)
| ~ sub(B,name_1_1)
| ~ obj(V7,A)
| ~ has_card_leq(V6,int1994)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1195_neg]) ).
cnf(c_930,negated_conjecture,
( ~ val(D,E)
| ~ sub(D,jahr__1_1)
| ~ sub(c12,name_1_1)
| ~ sub(B,name_1_1)
| ~ obj(F,A)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_196,c_440]) ).
cnf(c_689,negated_conjecture,
( ~ val(D,E)
| ~ sub(D,jahr__1_1)
| ~ sub(B,name_1_1)
| ~ obj(F,A)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_198,c_930]) ).
cnf(c_931,plain,
( ~ val(B,C)
| ~ sub(B,jahr__1_1)
| ~ sub(c12,name_1_1)
| ~ obj(D,c11)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_689,c_196]) ).
cnf(c_714,plain,
( ~ val(B,C)
| ~ sub(B,jahr__1_1)
| ~ obj(D,c11)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_198,c_931]) ).
cnf(c_932,plain,
( ~ val(c85,A)
| ~ sub(c85,jahr__1_1)
| ~ obj(B,c11)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_212,c_714]) ).
cnf(c_796,plain,
( ~ val(c85,A)
| ~ obj(B,c11)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_213,c_932]) ).
cnf(c_807,plain,
( ~ obj(A,c11)
| ~ has_card_leq(c80,int1994) ),
inference(resolve,[status(thm)],[c_796,c_214]) ).
cnf(c_933,plain,
( ~ obj(A,c11)
| ~ card(c80,int1994) ),
inference(resolve,[status(thm)],[c_139,c_807]) ).
cnf(c_826,plain,
~ obj(A,c11),
inference(resolve,[status(thm)],[c_423,c_933]) ).
cnf(c_934,plain,
( obj(sK0(c12,A,c11),c11)
| ~ sub(c12,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_90,c_196]) ).
cnf(c_935,plain,
( obj(sK0(c12,name_1_1,c11),c11)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_934,c_198]) ).
cnf(c_833,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_935,c_826]) ).
cnf(c_928,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_833,c_57]) ).
cnf(c_936,plain,
~ member(name_1_1,cons(name_1_1,nil)),
inference(resolve,[status(thm)],[c_928,c_57]) ).
cnf(c_929,plain,
$false,
inference(resolve,[status(thm)],[c_56,c_936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR115+27 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n018.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 01:09:52 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 1816308 was started by sandbox2 on n018,
% 0.17/0.44 % Sun Sep 27 01:09:52 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.22/0.86
% 2.22/0.86 % SInE (scan): 75 to sos (tol 1.5x), 18 to usable (tol 2.0x), 10095 zapped, of 10188 axioms (depth 3).
% 2.22/0.86
% 2.22/0.86 % From the command line: assign(max_seconds, 300).
% 2.22/0.86
% 2.22/0.86 % SZS status Theorem for theBenchmark
% 2.22/0.86
% 2.22/0.86 % Proof 1 at 0.22 (+ 0.06) seconds.
% 2.22/0.86 % Length of proof is 25.
% 2.22/0.86 % Level of proof is 9.
% 2.22/0.86 % Maximum clause weight is 27.000.
% 2.22/0.86 % Given clauses 137.
% 2.22/0.86
% 2.22/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
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