%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+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 : n006.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 07:07:38 AM UTC 2026
% Result : Theorem 16.72s 13.07s
% Output : CNFRefutation 16.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 252 ( 11 avg)
% Number of connectives : 374 ( 54 ~; 44 |; 275 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 252 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 70 ( 70 usr; 68 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 12 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(loc__stehen_1_1_loc,axiom,
! [X0,X1] :
( loc(X0,X1)
=> ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) ) ),
file('theBenchmark.p',loc__stehen_1_1_loc) ).
fof(ave07_era5_synth_qa07_004_qn2_75_a281,axiom,
( gener(zelebrieren_1_1,ge)
& fact(zelebrieren_1_1,real)
& sort(zelebrieren_1_1,da)
& varia(weg_1_1,varia_c)
& refer(weg_1_1,refer_c)
& quant(weg_1_1,one)
& gener(weg_1_1,ge)
& fact(weg_1_1,real)
& etype(weg_1_1,int0)
& card(weg_1_1,int1)
& sort(weg_1_1,d)
& varia(kreuz_1_1,varia_c)
& refer(kreuz_1_1,refer_c)
& quant(kreuz_1_1,one)
& gener(kreuz_1_1,ge)
& fact(kreuz_1_1,real)
& etype(kreuz_1_1,int0)
& card(kreuz_1_1,int1)
& sort(kreuz_1_1,io)
& sort(kreuz_1_1,d)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,quant_c)
& gener(mensch_1_1,gener_c)
& fact(mensch_1_1,real)
& etype(mensch_1_1,etype_c)
& card(mensch_1_1,card_c)
& sort(mensch_1_1,ent)
& varia(gl__344ubig_2_1,varia_c)
& refer(gl__344ubig_2_1,refer_c)
& quant(gl__344ubig_2_1,one)
& gener(gl__344ubig_2_1,ge)
& fact(gl__344ubig_2_1,real)
& etype(gl__344ubig_2_1,int0)
& card(gl__344ubig_2_1,int1)
& sort(gl__344ubig_2_1,o)
& varia(c9,varia_c)
& refer(c9,indet)
& quant(c9,mult)
& gener(c9,gener_c)
& fact(c9,real)
& etype(c9,int1)
& card(c9,cons(x_constant,cons(int1,nil)))
& sort(c9,o)
& varia(kreuzung_1_1,varia_c)
& refer(kreuzung_1_1,refer_c)
& quant(kreuzung_1_1,one)
& gener(kreuzung_1_1,ge)
& fact(kreuzung_1_1,real)
& etype(kreuzung_1_1,int0)
& card(kreuzung_1_1,int1)
& sort(kreuzung_1_1,d)
& sort(althergebracht_1_1,nq)
& sort(rom_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(c148,varia_c)
& refer(c148,indet)
& quant(c148,one)
& gener(c148,sp)
& fact(c148,real)
& etype(c148,int0)
& card(c148,int1)
& sort(c148,na)
& varia(c147,con)
& refer(c147,det)
& quant(c147,one)
& gener(c147,sp)
& fact(c147,real)
& etype(c147,int0)
& card(c147,int1)
& sort(c147,io)
& sort(c147,d)
& varia(kolosseum_1_1,con)
& refer(kolosseum_1_1,det)
& quant(kolosseum_1_1,one)
& gener(kolosseum_1_1,sp)
& fact(kolosseum_1_1,real)
& etype(kolosseum_1_1,int0)
& card(kolosseum_1_1,int1)
& sort(kolosseum_1_1,d)
& varia(c169,con)
& refer(c169,det)
& quant(c169,one)
& gener(c169,sp)
& fact(c169,real)
& etype(c169,int0)
& card(c169,int1)
& sort(c169,l)
& varia(c140,con)
& refer(c140,det)
& quant(c140,one)
& gener(c140,sp)
& fact(c140,real)
& etype(c140,int0)
& card(c140,int1)
& sort(c140,d)
& varia(freiertag_1_1,varia_c)
& refer(freiertag_1_1,refer_c)
& quant(freiertag_1_1,one)
& gener(freiertag_1_1,ge)
& fact(freiertag_1_1,real)
& etype(freiertag_1_1,int0)
& card(freiertag_1_1,int1)
& sort(freiertag_1_1,ta)
& sort(paul_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)
& sort(johannes_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(kirchenf__374rst_1_1,varia_c)
& refer(kirchenf__374rst_1_1,refer_c)
& quant(kirchenf__374rst_1_1,one)
& gener(kirchenf__374rst_1_1,ge)
& fact(kirchenf__374rst_1_1,real)
& etype(kirchenf__374rst_1_1,int0)
& card(kirchenf__374rst_1_1,int1)
& sort(kirchenf__374rst_1_1,d)
& varia(c129,varia_c)
& refer(c129,indet)
& quant(c129,one)
& gener(c129,sp)
& fact(c129,real)
& etype(c129,int0)
& card(c129,int1)
& sort(c129,na)
& varia(c128,varia_c)
& refer(c128,indet)
& quant(c128,one)
& gener(c128,sp)
& fact(c128,real)
& etype(c128,int0)
& card(c128,int1)
& sort(c128,na)
& varia(c135,con)
& refer(c135,det)
& quant(c135,one)
& gener(c135,sp)
& fact(c135,real)
& etype(c135,int0)
& card(c135,int1)
& sort(c135,ta)
& varia(abend_2_1,varia_c)
& refer(abend_2_1,refer_c)
& quant(abend_2_1,one)
& gener(abend_2_1,sp)
& fact(abend_2_1,real)
& etype(abend_2_1,int0)
& card(abend_2_1,int1)
& sort(abend_2_1,t)
& gener(haben_1_1,ge)
& fact(haben_1_1,real)
& sort(haben_1_1,st)
& varia(c127,con)
& refer(c127,det)
& quant(c127,one)
& gener(c127,sp)
& fact(c127,real)
& etype(c127,int0)
& card(c127,int1)
& sort(c127,d)
& varia(c150,con)
& refer(c150,det)
& quant(c150,one)
& gener(c150,sp)
& fact(c150,real)
& etype(c150,int0)
& card(c150,int1)
& sort(c150,d)
& varia(c170,con)
& refer(c170,det)
& quant(c170,one)
& gener(c170,sp)
& fact(c170,real)
& etype(c170,int0)
& card(c170,int1)
& sort(c170,l)
& varia(c171,varia_c)
& refer(c171,refer_c)
& quant(c171,quant_c)
& gener(c171,gener_c)
& fact(c171,real)
& etype(c171,int1)
& card(c171,card_c)
& sort(c171,o)
& card(c130,int2)
& sort(c130,oq)
& sort(c0,tq)
& gener(c10,sp)
& fact(c10,real)
& sort(c10,st)
& chsp2(zelebrieren_1_1,c0)
& sub(kreuzung_1_1,weg_1_1)
& assoc(kreuzung_1_1,kreuz_1_1)
& sub(kirchenf__374rst_1_1,mensch_1_1)
& pred(c9,gl__344ubig_2_1)
& subm(c171,c9)
& an(c170,c140)
& in(c169,c147)
& sub(c150,kreuzung_1_1)
& prop(c150,althergebracht_1_1)
& val(c148,rom_0)
& sub(c148,name_1_1)
& sub(c147,stadt__1_1)
& attr(c147,c148)
& sub(c140,kolosseum_1_1)
& loc(c140,c169)
& sub(c135,freiertag_1_1)
& val(c129,paul_0)
& sub(c129,familiename_1_1)
& val(c128,johannes_0)
& sub(c128,eigenname_1_1)
& sub(c127,kirchenf__374rst_1_1)
& attr(c127,c129)
& attr(c127,c128)
& temp(c10,c135)
& temp(c10,abend_2_1)
& subs(c10,haben_1_1)
& scar(c10,c127)
& obj(c10,c150)
& loc(c10,c170)
& ctxt(c10,c171)
& assoc(c10,c130)
& assoc(c10,c0) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_qn2_75_a281) ).
fof(synth_qa07_004_qn2_75_a281,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X3,kolosseum_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
file('theBenchmark.p',synth_qa07_004_qn2_75_a281) ).
fof(synth_qa07_004_qn2_75_a281_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X3,kolosseum_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_qn2_75_a281]) ).
fof(nnf_55,plain,
! [X0,X1] :
( ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) )
| ~ loc(X0,X1) ),
inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc]) ).
fof(sk_loc__stehen_1_1_loc_sk,plain,
! [X0,X1] :
( ( subs(sK0(X0,X1),stehen_1_1)
& scar(sK0(X0,X1),X0)
& loc(sK0(X0,X1),X1) )
| ~ loc(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[nnf_55]) ).
fof(sk_loc__stehen_1_1_loc,plain,
( ! [VAR_0,VAR_1] :
( subs(sK0(VAR_0,VAR_1),stehen_1_1)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( scar(sK0(VAR_0,VAR_1),VAR_0)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( loc(sK0(VAR_0,VAR_1),VAR_1)
| ~ loc(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_loc__stehen_1_1_loc_sk]) ).
cnf(c_292,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_293,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_294,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_320,plain,
loc(c140,c169),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qn2_75_a281]) ).
cnf(c_321,plain,
sub(c140,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qn2_75_a281]) ).
cnf(c_322,plain,
attr(c147,c148),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qn2_75_a281]) ).
cnf(c_323,plain,
sub(c147,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qn2_75_a281]) ).
cnf(c_324,plain,
sub(c148,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qn2_75_a281]) ).
cnf(c_325,plain,
val(c148,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qn2_75_a281]) ).
cnf(c_328,plain,
in(c169,c147),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qn2_75_a281]) ).
cnf(c_555,negated_conjecture,
( ~ val(C,rom_0)
| ~ subs(D,stehen_1_1)
| ~ sub(E,kolosseum_1_1)
| ~ sub(B,stadt__1_1)
| ~ sub(C,name_1_1)
| ~ scar(D,E)
| ~ loc(D,A)
| ~ attr(B,C)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_qn2_75_a281_neg]) ).
cnf(c_10791,negated_conjecture,
( ~ val(c148,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c147,stadt__1_1)
| ~ sub(c148,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c147) ),
inference(resolve,[status(thm)],[c_322,c_555]) ).
cnf(c_10792,negated_conjecture,
( ~ val(c148,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c147,stadt__1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c147) ),
inference(resolve,[status(thm)],[c_324,c_10791]) ).
cnf(c_10793,negated_conjecture,
( ~ val(c148,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c147) ),
inference(resolve,[status(thm)],[c_323,c_10792]) ).
cnf(c_692,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c147) ),
inference(resolve,[status(thm)],[c_325,c_10793]) ).
cnf(c_3405,plain,
loc(sK0(c140,c169),c169),
inference(resolve,[status(thm)],[c_292,c_320]) ).
cnf(c_3407,plain,
scar(sK0(c140,c169),c140),
inference(resolve,[status(thm)],[c_293,c_320]) ).
cnf(c_3523,plain,
subs(sK0(c140,c169),stehen_1_1),
inference(resolve,[status(thm)],[c_294,c_320]) ).
cnf(c_4751,plain,
( ~ subs(A,stehen_1_1)
| ~ sub(B,kolosseum_1_1)
| ~ scar(A,B)
| ~ loc(A,c169) ),
inference(resolve,[status(thm)],[c_692,c_328]) ).
cnf(c_4814,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c140)
| ~ loc(A,c169) ),
inference(resolve,[status(thm)],[c_4751,c_321]) ).
cnf(c_10794,plain,
( ~ subs(sK0(c140,c169),stehen_1_1)
| ~ scar(sK0(c140,c169),c140) ),
inference(resolve,[status(thm)],[c_3405,c_4814]) ).
cnf(c_10795,plain,
~ subs(sK0(c140,c169),stehen_1_1),
inference(resolve,[status(thm)],[c_3407,c_10794]) ).
cnf(c_10790,plain,
$false,
inference(resolve,[status(thm)],[c_3523,c_10795]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+29 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/10.60 % Computer : n006.cluster.edu
% 0.02/10.60 % Model : x86_64 x86_64
% 0.02/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/10.60 % Memory : 8046.5625MB
% 0.02/10.60 % OS : Linux 6.8.0-71-generic
% 0.02/10.60 % CPULimit : 300
% 0.02/10.60 % WCLimit : 300
% 0.02/10.60 % DateTime : Sun Sep 27 01:05:41 UTC 2026
% 0.02/10.60 % CPUTime :
% 0.02/10.60 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/10.60 % Process 2476364 was started by sandbox on n006,
% 0.02/10.60 % Sun Sep 27 01:05:41 2026
% 0.02/10.60 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 16.72/13.07
% 16.72/13.07 % SInE (scan): 97 to sos (tol 1.5x), 29 to usable (tol 2.0x), 10062 zapped, of 10188 axioms (depth 3).
% 16.72/13.07
% 16.72/13.07 % From the command line: assign(max_seconds, 300).
% 16.72/13.07
% 16.72/13.07 % given #500 (T,wt=5): 515 gener(c9,gener_c) # tptp_name(ave07_era5_synth_qa07_004_qn2_75_a281) # sine_depth(1). [clausify(57)].
% 16.72/13.07
% 16.72/13.07 % given #1000 (F,wt=11): 6445 -scar(gutschrift_1_1,c140) | -subs(gutschrift_1_1,stehen_1_1) | -chea(haben_1_1,c140). [resolve(5292,d,320,a)].
% 16.72/13.07
% 16.72/13.07 % given #1500 (T,wt=5): 4070 sort_leq(c147,co). [ur(190,a,467,a,b,572,a)].
% 16.72/13.07
% 16.72/13.07 % SZS status Theorem for theBenchmark
% 16.72/13.07
% 16.72/13.07 % Proof 1 at 1.96 (+ 0.37) seconds.
% 16.72/13.07 % Length of proof is 21.
% 16.72/13.07 % Level of proof is 5.
% 16.72/13.07 % Maximum clause weight is 29.000.
% 16.72/13.07 % Given clauses 1708.
% 16.72/13.07
% 16.72/13.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------