%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+85 : 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 : n017.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 4.98s 1.12s
% Output : CNFRefutation 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 364 ( 0 equ)
% Maximal formula atoms : 227 ( 10 avg)
% Number of connectives : 412 ( 82 ~; 70 |; 258 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 227 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-12 aty)
% Number of functors : 62 ( 62 usr; 60 con; 0-3 aty)
% Number of variables : 84 ( 22 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_504,axiom,
( varia(wagen_1_1,varia_c)
& refer(wagen_1_1,refer_c)
& quant(wagen_1_1,one)
& gener(wagen_1_1,ge)
& fact(wagen_1_1,real)
& etype(wagen_1_1,int0)
& card(wagen_1_1,int1)
& sort(wagen_1_1,d)
& varia(brite_1_1,varia_c)
& refer(brite_1_1,refer_c)
& quant(brite_1_1,one)
& gener(brite_1_1,ge)
& fact(brite_1_1,real)
& etype(brite_1_1,int0)
& card(brite_1_1,int1)
& sort(brite_1_1,d)
& varia(c2169,varia_c)
& refer(c2169,det)
& quant(c2169,one)
& gener(c2169,sp)
& fact(c2169,real)
& etype(c2169,int0)
& card(c2169,int1)
& sort(c2169,o)
& varia(c954,varia_c)
& refer(c954,det)
& quant(c954,one)
& gener(c954,sp)
& fact(c954,real)
& etype(c954,int0)
& card(c954,int1)
& sort(c954,o)
& varia(c948,con)
& refer(c948,det)
& quant(c948,one)
& gener(c948,sp)
& fact(c948,real)
& etype(c948,int0)
& card(c948,int1)
& sort(c948,d)
& varia(c2326,varia_c)
& refer(c2326,refer_c)
& quant(c2326,quant_c)
& gener(c2326,gener_c)
& fact(c2326,real)
& etype(c2326,etype_c)
& card(c2326,card_c)
& sort(c2326,ent)
& varia(motor__1_1,varia_c)
& refer(motor__1_1,refer_c)
& quant(motor__1_1,one)
& gener(motor__1_1,ge)
& fact(motor__1_1,real)
& etype(motor__1_1,int0)
& card(motor__1_1,int1)
& sort(motor__1_1,d)
& varia(c2214,varia_c)
& refer(c2214,indet)
& quant(c2214,mult)
& gener(c2214,gener_c)
& fact(c2214,real)
& etype(c2214,int1)
& card(c2214,cons(x_constant,cons(int1,nil)))
& sort(c2214,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(c2213,varia_c)
& refer(c2213,indet)
& quant(c2213,one)
& gener(c2213,sp)
& fact(c2213,real)
& etype(c2213,int0)
& card(c2213,int1)
& sort(c2213,na)
& varia(c2212,con)
& refer(c2212,det)
& quant(c2212,one)
& gener(c2212,sp)
& fact(c2212,real)
& etype(c2212,int0)
& card(c2212,int1)
& sort(c2212,io)
& sort(c2212,d)
& card(c2201,int1934)
& sort(c2201,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(c2205,varia_c)
& refer(c2205,refer_c)
& quant(c2205,quant_c)
& gener(c2205,sp)
& fact(c2205,real)
& etype(c2205,etype_c)
& card(c2205,card_c)
& sort(c2205,ta)
& sort(c2205,oa)
& sort(c2205,me)
& varia(c2204,con)
& refer(c2204,det)
& quant(c2204,one)
& gener(c2204,sp)
& fact(c2204,real)
& etype(c2204,int0)
& card(c2204,int1)
& sort(c2204,t)
& 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(c2196,varia_c)
& refer(c2196,det)
& quant(c2196,one)
& gener(c2196,sp)
& fact(c2196,real)
& etype(c2196,int0)
& card(c2196,int1)
& sort(c2196,io)
& sort(c2196,d)
& sort(nash_0,fe)
& varia(c2187,varia_c)
& refer(c2187,indet)
& quant(c2187,one)
& gener(c2187,sp)
& fact(c2187,real)
& etype(c2187,int0)
& card(c2187,int1)
& sort(c2187,na)
& varia(c2186,con)
& refer(c2186,det)
& quant(c2186,one)
& gener(c2186,sp)
& fact(c2186,real)
& etype(c2186,int0)
& card(c2186,int1)
& sort(c2186,d)
& sort(frazer_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(c2182,varia_c)
& refer(c2182,indet)
& quant(c2182,one)
& gener(c2182,sp)
& fact(c2182,real)
& etype(c2182,int0)
& card(c2182,int1)
& sort(c2182,na)
& varia(c2181,con)
& refer(c2181,det)
& quant(c2181,one)
& gener(c2181,sp)
& fact(c2181,real)
& etype(c2181,int0)
& card(c2181,int1)
& sort(c2181,d)
& varia(lizenz__1_1,varia_c)
& refer(lizenz__1_1,refer_c)
& quant(lizenz__1_1,one)
& gener(lizenz__1_1,ge)
& fact(lizenz__1_1,real)
& etype(lizenz__1_1,int0)
& card(lizenz__1_1,int1)
& sort(lizenz__1_1,io)
& sort(lizenz__1_1,d)
& varia(c2174,varia_c)
& refer(c2174,refer_c)
& quant(c2174,one)
& gener(c2174,gener_c)
& fact(c2174,real)
& etype(c2174,int0)
& card(c2174,int1)
& sort(c2174,io)
& sort(c2174,d)
& sub(c954,wagen_1_1)
& sub(c948,brite_1_1)
& tupl_p12(c2326,c948,c954,c2169,c954,c2174,c2181,c2186,c2196,c2204,c2212,c2214)
& pred(c2214,motor__1_1)
& val(c2213,bmw_0)
& sub(c2213,name_1_1)
& sub(c2212,firma_1_1)
& attr(c2212,c2213)
& val(c2205,c2201)
& sub(c2205,jahr__1_1)
& attr(c2204,c2205)
& sub(c2196,firma_1_1)
& val(c2187,nash_0)
& sub(c2187,familiename_1_1)
& sub(c2186,mensch_1_1)
& attr(c2186,c2187)
& val(c2182,frazer_0)
& sub(c2182,familiename_1_1)
& sub(c2181,mensch_1_1)
& attr(c2181,c2182)
& sub(c2174,lizenz__1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_504) ).
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_504,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X6,jahr__1_1)
& 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_504) ).
fof(synth_qa07_007_mira_wp_504_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X6,jahr__1_1)
& 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_504]) ).
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_120,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_254,plain,
attr(c2204,c2205),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_504]) ).
cnf(c_255,plain,
sub(c2205,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_504]) ).
cnf(c_257,plain,
attr(c2212,c2213),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_504]) ).
cnf(c_258,plain,
sub(c2212,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_504]) ).
cnf(c_259,plain,
sub(c2213,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_504]) ).
cnf(c_260,plain,
val(c2213,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_504]) ).
cnf(c_471,negated_conjecture,
( ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(F,jahr__1_1)
| ~ 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_504_neg]) ).
cnf(c_472,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_154,c_153]) ).
cnf(c_2991,negated_conjecture,
( ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(c2205,jahr__1_1)
| ~ 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_254,c_471]) ).
cnf(c_514,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(E,A)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_255,c_2991]) ).
cnf(c_2527,plain,
member(A,cons(B,cons(C,cons(A,D)))),
inference(resolve,[status(thm)],[c_154,c_472]) ).
cnf(c_2992,plain,
( ~ val(B,bmw_0)
| ~ val(c2213,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c2212,firma_1_1)
| ~ sub(c2213,name_1_1)
| ~ obj(C,c2212)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_514,c_257]) ).
cnf(c_2993,plain,
( ~ val(c2213,bmw_0)
| ~ val(c2213,bmw_0)
| ~ sub(c2213,name_1_1)
| ~ sub(c2212,firma_1_1)
| ~ sub(c2213,name_1_1)
| ~ obj(A,c2212) ),
inference(resolve,[status(thm)],[c_2992,c_257]) ).
cnf(c_2994,plain,
( ~ val(c2213,bmw_0)
| ~ val(c2213,bmw_0)
| ~ sub(c2213,name_1_1)
| ~ sub(c2212,firma_1_1)
| ~ obj(A,c2212) ),
inference(resolve,[status(thm)],[c_2993,c_259]) ).
cnf(c_2995,plain,
( ~ val(c2213,bmw_0)
| ~ val(c2213,bmw_0)
| ~ sub(c2213,name_1_1)
| ~ obj(A,c2212) ),
inference(resolve,[status(thm)],[c_2994,c_258]) ).
cnf(c_2996,plain,
( ~ val(c2213,bmw_0)
| ~ val(c2213,bmw_0)
| ~ obj(A,c2212) ),
inference(resolve,[status(thm)],[c_2995,c_259]) ).
cnf(c_2997,plain,
( ~ val(c2213,bmw_0)
| ~ obj(A,c2212) ),
inference(resolve,[status(thm)],[c_2996,c_260]) ).
cnf(c_2979,plain,
~ obj(A,c2212),
inference(resolve,[status(thm)],[c_2997,c_260]) ).
cnf(c_2998,plain,
( obj(sK0(c2213,A,c2212),c2212)
| ~ sub(c2213,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_120,c_257]) ).
cnf(c_2999,plain,
( obj(sK0(c2213,name_1_1,c2212),c2212)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_2998,c_259]) ).
cnf(c_3000,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_2999,c_2979]) ).
cnf(c_2990,plain,
$false,
inference(resolve,[status(thm)],[c_2527,c_3000]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+85 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 01:08:05 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.36 % Process 2050265 was started by sandbox on n017,
% 0.14/0.36 % Sun Sep 27 01:08:05 2026
% 0.14/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 4.98/1.12
% 4.98/1.12 % SInE (scan): 80 to sos (tol 1.5x), 25 to usable (tol 2.0x), 10083 zapped, of 10188 axioms (depth 3).
% 4.98/1.12
% 4.98/1.12 % From the command line: assign(max_seconds, 300).
% 4.98/1.12
% 4.98/1.12 % given #500 (A,wt=26): 491 -attr(A,B) | -attr(C,fruehjahr_1_1) | -obj(D,c2186) | -sub(c2187,name_1_1) | -sub(c2186,firma_1_1) | -sub(B,name_1_1) | -val(c2187,bmw_0) | -val(B,bmw_0). [resolve(249,a,473,a)].
% 4.98/1.12
% 4.98/1.12 % SZS status Theorem for theBenchmark
% 4.98/1.12
% 4.98/1.12 % Proof 1 at 0.39 (+ 0.13) seconds.
% 4.98/1.12 % Length of proof is 20.
% 4.98/1.12 % Level of proof is 4.
% 4.98/1.12 % Maximum clause weight is 32.000.
% 4.98/1.12 % Given clauses 557.
% 4.98/1.12
% 4.98/1.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
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