%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+87 : 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 : n009.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 07:07:48 AM UTC 2026
% Result : Theorem 1.64s 0.68s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 307 ( 0 equ)
% Maximal formula atoms : 183 ( 9 avg)
% Number of connectives : 348 ( 73 ~; 61 |; 212 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 183 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-8 aty)
% Number of functors : 51 ( 51 usr; 49 con; 0-3 aty)
% Number of variables : 75 ( 18 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_mira_wp_508,axiom,
( sort(puch_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(c74,varia_c)
& refer(c74,indet)
& quant(c74,one)
& gener(c74,sp)
& fact(c74,real)
& etype(c74,int0)
& card(c74,int1)
& sort(c74,na)
& sort(steyr_0,fe)
& 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(c69,varia_c)
& refer(c69,indet)
& quant(c69,one)
& gener(c69,sp)
& fact(c69,real)
& etype(c69,int0)
& card(c69,int1)
& sort(c69,na)
& varia(c63,con)
& refer(c63,det)
& quant(c63,one)
& gener(c63,sp)
& fact(c63,real)
& etype(c63,int0)
& card(c63,int1)
& sort(c63,io)
& sort(c63,d)
& varia(fabrikat_1_1,varia_c)
& refer(fabrikat_1_1,refer_c)
& quant(fabrikat_1_1,one)
& gener(fabrikat_1_1,ge)
& fact(fabrikat_1_1,real)
& etype(fabrikat_1_1,int0)
& card(fabrikat_1_1,int1)
& sort(fabrikat_1_1,o)
& varia(zasada_1_1,varia_c)
& refer(zasada_1_1,refer_c)
& quant(zasada_1_1,one)
& gener(zasada_1_1,ge)
& fact(zasada_1_1,real)
& etype(zasada_1_1,int0)
& card(zasada_1_1,int1)
& sort(zasada_1_1,o)
& varia(c73,con)
& refer(c73,det)
& quant(c73,one)
& gener(c73,sp)
& fact(c73,real)
& etype(c73,int0)
& card(c73,int1)
& sort(c73,d)
& varia(c68,con)
& refer(c68,det)
& quant(c68,one)
& gener(c68,sp)
& fact(c68,real)
& etype(c68,int0)
& card(c68,int1)
& sort(c68,io)
& sort(c68,d)
& varia(c58,varia_c)
& refer(c58,indet)
& quant(c58,mult)
& gener(c58,sp)
& fact(c58,real)
& etype(c58,int1)
& card(c58,cons(x_constant,cons(int1,nil)))
& sort(c58,o)
& varia(c57,varia_c)
& refer(c57,indet)
& quant(c57,mult)
& gener(c57,gener_c)
& fact(c57,real)
& etype(c57,int1)
& card(c57,cons(x_constant,cons(int1,nil)))
& sort(c57,o)
& varia(c222,varia_c)
& refer(c222,refer_c)
& quant(c222,quant_c)
& gener(c222,gener_c)
& fact(c222,real)
& etype(c222,etype_c)
& card(c222,card_c)
& sort(c222,ent)
& sort(bmw_0,fe)
& varia(c126,varia_c)
& refer(c126,indet)
& quant(c126,one)
& gener(c126,sp)
& fact(c126,real)
& etype(c126,int0)
& card(c126,int1)
& sort(c126,na)
& varia(c125,con)
& refer(c125,det)
& quant(c125,one)
& gener(c125,sp)
& fact(c125,real)
& etype(c125,int0)
& card(c125,int1)
& sort(c125,io)
& sort(c125,d)
& sort(porsche_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(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(c110,varia_c)
& refer(c110,indet)
& quant(c110,one)
& gener(c110,sp)
& fact(c110,real)
& etype(c110,int0)
& card(c110,int1)
& sort(c110,na)
& varia(c109,con)
& refer(c109,det)
& quant(c109,one)
& gener(c109,sp)
& fact(c109,real)
& etype(c109,int0)
& card(c109,int1)
& sort(c109,io)
& sort(c109,d)
& val(c74,puch_0)
& sub(c74,familiename_1_1)
& sub(c73,mensch_1_1)
& attr(c73,c74)
& val(c69,steyr_0)
& sub(c69,name_1_1)
& sub(c68,stadt__1_1)
& attr(c68,c69)
& sub(c63,firma_1_1)
& attch(c63,c58)
& pred(c58,fabrikat_1_1)
& pred(c57,zasada_1_1)
& tupl_p8(c222,c57,c58,c68,c73,c68,c109,c125)
& val(c126,bmw_0)
& sub(c126,name_1_1)
& sub(c125,firma_1_1)
& attr(c125,c126)
& val(c110,porsche_0)
& sub(c110,name_1_1)
& sub(c109,firma_1_1)
& attr(c109,c110) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_508) ).
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_wp_508,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_mira_wp_508) ).
fof(synth_qa07_007_mira_wp_508_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_mira_wp_508]) ).
fof(nnf_63,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_63]) ).
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_122,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_153,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_154,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_241,plain,
attr(c109,c110),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_508]) ).
cnf(c_245,plain,
attr(c125,c126),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_508]) ).
cnf(c_246,plain,
sub(c125,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_508]) ).
cnf(c_247,plain,
sub(c126,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_508]) ).
cnf(c_248,plain,
val(c126,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_508]) ).
cnf(c_424,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_mira_wp_508_neg]) ).
cnf(c_497,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_154,c_153]) ).
cnf(c_708,plain,
( ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(D,name_1_1)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ obj(E,A)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_241,c_424]) ).
cnf(c_1033,plain,
( ~ val(B,bmw_0)
| ~ val(c126,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c125,firma_1_1)
| ~ sub(c126,name_1_1)
| ~ obj(C,c125)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_708,c_245]) ).
cnf(c_1034,plain,
( ~ val(c126,bmw_0)
| ~ val(c126,bmw_0)
| ~ sub(c126,name_1_1)
| ~ sub(c125,firma_1_1)
| ~ sub(c126,name_1_1)
| ~ obj(A,c125) ),
inference(resolve,[status(thm)],[c_1033,c_245]) ).
cnf(c_1035,plain,
( ~ val(c126,bmw_0)
| ~ val(c126,bmw_0)
| ~ sub(c126,name_1_1)
| ~ sub(c125,firma_1_1)
| ~ obj(A,c125) ),
inference(resolve,[status(thm)],[c_1034,c_247]) ).
cnf(c_1036,plain,
( ~ val(c126,bmw_0)
| ~ val(c126,bmw_0)
| ~ sub(c126,name_1_1)
| ~ obj(A,c125) ),
inference(resolve,[status(thm)],[c_1035,c_246]) ).
cnf(c_1037,plain,
( ~ val(c126,bmw_0)
| ~ val(c126,bmw_0)
| ~ obj(A,c125) ),
inference(resolve,[status(thm)],[c_1036,c_247]) ).
cnf(c_1038,plain,
( ~ val(c126,bmw_0)
| ~ obj(A,c125) ),
inference(resolve,[status(thm)],[c_1037,c_248]) ).
cnf(c_907,plain,
~ obj(A,c125),
inference(resolve,[status(thm)],[c_1038,c_248]) ).
cnf(c_1039,plain,
( obj(sK0(c126,A,c125),c125)
| ~ sub(c126,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_122,c_245]) ).
cnf(c_1040,plain,
( obj(sK0(c126,name_1_1,c125),c125)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_1039,c_247]) ).
cnf(c_915,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_1040,c_907]) ).
cnf(c_1041,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_915,c_154]) ).
cnf(c_1032,plain,
$false,
inference(resolve,[status(thm)],[c_497,c_1041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR115+87 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 01:12:30 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.37 % Process 1531127 was started by sandbox on n009,
% 0.12/0.37 % Sun Sep 27 01:12:30 2026
% 0.12/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.64/0.68
% 1.64/0.68 % SInE (scan): 73 to sos (tol 1.5x), 23 to usable (tol 2.0x), 10092 zapped, of 10188 axioms (depth 3).
% 1.64/0.68
% 1.64/0.68 % From the command line: assign(max_seconds, 300).
% 1.64/0.68
% 1.64/0.68 % SZS status Theorem for theBenchmark
% 1.64/0.68
% 1.64/0.68 % Proof 1 at 0.18 (+ 0.05) seconds.
% 1.64/0.68 % Length of proof is 19.
% 1.64/0.68 % Level of proof is 5.
% 1.64/0.68 % Maximum clause weight is 27.000.
% 1.64/0.68 % Given clauses 178.
% 1.64/0.68
% 1.64/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------