%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+96 : 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 : n007.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 07:07:50 AM UTC 2026
% Result : Theorem 3.28s 1.03s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 378 ( 0 equ)
% Maximal formula atoms : 255 ( 12 avg)
% Number of connectives : 419 ( 72 ~; 61 |; 284 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 255 ( 13 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-12 aty)
% Number of functors : 63 ( 63 usr; 61 con; 0-3 aty)
% Number of variables : 87 ( 25 sgn 26 !; 16 ?)
% 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_007_mn3_277,axiom,
( varia(management__1_1,varia_c)
& refer(management__1_1,refer_c)
& quant(management__1_1,one)
& gener(management__1_1,ge)
& fact(management__1_1,real)
& etype(management__1_1,int0)
& card(management__1_1,int1)
& sort(management__1_1,io)
& sort(management__1_1,d)
& varia(erzeugnis_1_1,varia_c)
& refer(erzeugnis_1_1,refer_c)
& quant(erzeugnis_1_1,quant_c)
& gener(erzeugnis_1_1,ge)
& fact(erzeugnis_1_1,real)
& etype(erzeugnis_1_1,etype_c)
& card(erzeugnis_1_1,card_c)
& sort(erzeugnis_1_1,co)
& varia(c9098,varia_c)
& refer(c9098,refer_c)
& quant(c9098,quant_c)
& gener(c9098,gener_c)
& fact(c9098,real)
& etype(c9098,etype_c)
& card(c9098,card_c)
& sort(c9098,ent)
& sort(schweiz_0,fe)
& varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c8779,varia_c)
& refer(c8779,indet)
& quant(c8779,one)
& gener(c8779,sp)
& fact(c8779,real)
& etype(c8779,int0)
& card(c8779,int1)
& sort(c8779,na)
& varia(c8778,con)
& refer(c8778,det)
& quant(c8778,one)
& gener(c8778,sp)
& fact(c8778,real)
& etype(c8778,int0)
& card(c8778,int1)
& sort(c8778,io)
& sort(c8778,d)
& sort(bmw_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(c8775,varia_c)
& refer(c8775,indet)
& quant(c8775,one)
& gener(c8775,sp)
& fact(c8775,real)
& etype(c8775,int0)
& card(c8775,int1)
& sort(c8775,na)
& varia(c8774,con)
& refer(c8774,det)
& quant(c8774,one)
& gener(c8774,sp)
& fact(c8774,real)
& etype(c8774,int0)
& card(c8774,int1)
& sort(c8774,io)
& sort(c8774,d)
& varia(leiter_1_1,varia_c)
& refer(leiter_1_1,refer_c)
& quant(leiter_1_1,one)
& gener(leiter_1_1,ge)
& fact(leiter_1_1,real)
& etype(leiter_1_1,int0)
& card(leiter_1_1,int1)
& sort(leiter_1_1,d)
& varia(c8761,varia_c)
& refer(c8761,indet)
& quant(c8761,mult)
& gener(c8761,gener_c)
& fact(c8761,real)
& etype(c8761,int1)
& card(c8761,cons(x_constant,cons(int1,nil)))
& sort(c8761,d)
& varia(absatzf__366rderung_1_1,varia_c)
& refer(absatzf__366rderung_1_1,refer_c)
& quant(absatzf__366rderung_1_1,one)
& gener(absatzf__366rderung_1_1,ge)
& fact(absatzf__366rderung_1_1,real)
& etype(absatzf__366rderung_1_1,int0)
& card(absatzf__366rderung_1_1,int1)
& sort(absatzf__366rderung_1_1,io)
& varia(c8755,varia_c)
& refer(c8755,refer_c)
& quant(c8755,one)
& gener(c8755,gener_c)
& fact(c8755,real)
& etype(c8755,int0)
& card(c8755,int1)
& sort(c8755,io)
& varia(dynafit_1_1,varia_c)
& refer(dynafit_1_1,refer_c)
& quant(dynafit_1_1,one)
& gener(dynafit_1_1,ge)
& fact(dynafit_1_1,real)
& etype(dynafit_1_1,int0)
& card(dynafit_1_1,int1)
& sort(dynafit_1_1,o)
& varia(c8743,varia_c)
& refer(c8743,indet)
& quant(c8743,mult)
& gener(c8743,gener_c)
& fact(c8743,real)
& etype(c8743,int1)
& card(c8743,cons(x_constant,cons(int1,nil)))
& sort(c8743,o)
& varia(absatz_1_2,varia_c)
& refer(absatz_1_2,refer_c)
& quant(absatz_1_2,one)
& gener(absatz_1_2,ge)
& fact(absatz_1_2,real)
& etype(absatz_1_2,int0)
& card(absatz_1_2,int1)
& sort(absatz_1_2,ad)
& sort(erdweit_1_1,tq)
& varia(c8740,con)
& refer(c8740,det)
& quant(c8740,one)
& gener(c8740,sp)
& fact(c8740,real)
& etype(c8740,int0)
& card(c8740,int1)
& sort(c8740,ad)
& varia(produktemanagement_1_1,varia_c)
& refer(produktemanagement_1_1,refer_c)
& quant(produktemanagement_1_1,one)
& gener(produktemanagement_1_1,ge)
& fact(produktemanagement_1_1,real)
& etype(produktemanagement_1_1,int0)
& card(produktemanagement_1_1,int1)
& sort(produktemanagement_1_1,io)
& sort(produktemanagement_1_1,d)
& varia(c8733,con)
& refer(c8733,det)
& quant(c8733,one)
& gener(c8733,sp)
& fact(c8733,real)
& etype(c8733,int0)
& card(c8733,int1)
& sort(c8733,io)
& sort(c8733,d)
& sort(raichle_0,fe)
& varia(c8725,varia_c)
& refer(c8725,indet)
& quant(c8725,one)
& gener(c8725,sp)
& fact(c8725,real)
& etype(c8725,int0)
& card(c8725,int1)
& sort(c8725,na)
& varia(c8724,con)
& refer(c8724,det)
& quant(c8724,one)
& gener(c8724,sp)
& fact(c8724,real)
& etype(c8724,int0)
& card(c8724,int1)
& sort(c8724,d)
& varia(firma_1_1,varia_c)
& refer(firma_1_1,refer_c)
& quant(firma_1_1,one)
& gener(firma_1_1,ge)
& fact(firma_1_1,real)
& etype(firma_1_1,int0)
& card(firma_1_1,int1)
& sort(firma_1_1,io)
& sort(firma_1_1,d)
& varia(c8719,con)
& refer(c8719,det)
& quant(c8719,one)
& gener(c8719,sp)
& fact(c8719,real)
& etype(c8719,int0)
& card(c8719,int1)
& sort(c8719,io)
& sort(c8719,d)
& sort(wellauer_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(c8714,varia_c)
& refer(c8714,indet)
& quant(c8714,one)
& gener(c8714,sp)
& fact(c8714,real)
& etype(c8714,int0)
& card(c8714,int1)
& sort(c8714,na)
& varia(c8713,con)
& refer(c8713,det)
& quant(c8713,one)
& gener(c8713,sp)
& fact(c8713,real)
& etype(c8713,int0)
& card(c8713,int1)
& sort(c8713,d)
& sub(produktemanagement_1_1,management__1_1)
& assoc(produktemanagement_1_1,erzeugnis_1_1)
& tupl_p12(c9098,c8713,c8719,c8724,c8733,c8740,c8743,c8740,c8755,c8761,c8774,c8778)
& val(c8779,schweiz_0)
& sub(c8779,name_1_1)
& sub(c8778,land_1_1)
& attr(c8778,c8779)
& val(c8775,bmw_0)
& sub(c8775,name_1_1)
& sub(c8774,firma_1_1)
& attr(c8774,c8775)
& pred(c8761,leiter_1_1)
& sub(c8755,absatzf__366rderung_1_1)
& pred(c8743,dynafit_1_1)
& subs(c8740,absatz_1_2)
& prop(c8740,erdweit_1_1)
& sub(c8733,produktemanagement_1_1)
& val(c8725,raichle_0)
& sub(c8725,familiename_1_1)
& sub(c8724,mensch_1_1)
& attr(c8724,c8725)
& sub(c8719,firma_1_1)
& val(c8714,wellauer_0)
& sub(c8714,familiename_1_1)
& sub(c8713,mensch_1_1)
& attr(c8713,c8714) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mn3_277) ).
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_mn3_277,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X0,firma_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_mn3_277) ).
fof(synth_qa07_007_mn3_277_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X0,firma_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_mn3_277]) ).
fof(nnf_62,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_62]) ).
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_121,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_157,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_158,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_259,plain,
attr(c8774,c8775),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_277]) ).
cnf(c_260,plain,
sub(c8774,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_277]) ).
cnf(c_261,plain,
sub(c8775,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_277]) ).
cnf(c_262,plain,
val(c8775,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mn3_277]) ).
cnf(c_499,negated_conjecture,
( ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(D,name_1_1)
| ~ sub(A,firma_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_mn3_277_neg]) ).
cnf(c_3872,plain,
( ~ val(B,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ obj(E,A)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(factor,[status(thm)],[c_499]) ).
cnf(c_3873,plain,
( ~ val(B,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ obj(E,A)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(copy,[status(thm)],[c_3872]) ).
cnf(c_500,plain,
( ~ val(B,bmw_0)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ obj(E,A)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(copy,[status(thm)],[c_3873]) ).
cnf(c_501,plain,
( ~ val(B,bmw_0)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ obj(C,A)
| ~ attr(A,B) ),
inference(factor,[status(thm)],[c_500]) ).
cnf(c_502,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_158,c_157]) ).
cnf(c_3874,plain,
( ~ val(c8775,bmw_0)
| ~ sub(c8774,firma_1_1)
| ~ sub(c8775,name_1_1)
| ~ obj(A,c8774) ),
inference(resolve,[status(thm)],[c_259,c_501]) ).
cnf(c_3875,plain,
( ~ val(c8775,bmw_0)
| ~ sub(c8774,firma_1_1)
| ~ obj(A,c8774) ),
inference(resolve,[status(thm)],[c_261,c_3874]) ).
cnf(c_3876,plain,
( ~ val(c8775,bmw_0)
| ~ obj(A,c8774) ),
inference(resolve,[status(thm)],[c_260,c_3875]) ).
cnf(c_1291,plain,
~ obj(A,c8774),
inference(resolve,[status(thm)],[c_262,c_3876]) ).
cnf(c_3877,plain,
( obj(sK0(c8775,A,c8774),c8774)
| ~ sub(c8775,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_121,c_259]) ).
cnf(c_3878,plain,
( obj(sK0(c8775,name_1_1,c8774),c8774)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_3877,c_261]) ).
cnf(c_1314,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_3878,c_1291]) ).
cnf(c_3870,plain,
member(A,cons(B,cons(C,cons(A,D)))),
inference(resolve,[status(thm)],[c_158,c_502]) ).
cnf(c_3871,plain,
$false,
inference(resolve,[status(thm)],[c_3870,c_1314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+96 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 01:11:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 906138 was started by sandbox2 on n007,
% 0.11/0.38 % Sun Sep 27 01:11:09 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 3.28/1.03
% 3.28/1.03 % SInE (scan): 78 to sos (tol 1.5x), 27 to usable (tol 2.0x), 10083 zapped, of 10188 axioms (depth 3).
% 3.28/1.03
% 3.28/1.03 % From the command line: assign(max_seconds, 300).
% 3.28/1.03
% 3.28/1.03 % SZS status Theorem for theBenchmark
% 3.28/1.03
% 3.28/1.03 % Proof 1 at 0.49 (+ 0.09) seconds.
% 3.28/1.03 % Length of proof is 20.
% 3.28/1.03 % Level of proof is 6.
% 3.28/1.03 % Maximum clause weight is 32.000.
% 3.28/1.03 % Given clauses 495.
% 3.28/1.03
% 3.28/1.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------