%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+1 : 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 : n014.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 07:07:37 AM UTC 2026
% Result : Theorem 8.89s 1.79s
% Output : CNFRefutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 344 ( 0 equ)
% Maximal formula atoms : 243 ( 11 avg)
% Number of connectives : 374 ( 60 ~; 47 |; 266 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 243 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 67 ( 67 usr; 65 con; 0-2 aty)
% Number of variables : 51 ( 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_insicht_11,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(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,det)
& 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,varia_c)
& 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)
& 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_insicht_11) ).
fof(synth_qa07_004_insicht_11,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_insicht_11) ).
fof(synth_qa07_004_insicht_11_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_insicht_11]) ).
fof(nnf_52,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_52]) ).
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_281,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_282,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_283,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_308,plain,
loc(c140,c169),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_11]) ).
cnf(c_309,plain,
sub(c140,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_11]) ).
cnf(c_310,plain,
attr(c147,c148),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_11]) ).
cnf(c_311,plain,
sub(c147,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_11]) ).
cnf(c_312,plain,
sub(c148,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_11]) ).
cnf(c_313,plain,
val(c148,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_11]) ).
cnf(c_316,plain,
in(c169,c147),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_11]) ).
cnf(c_534,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_insicht_11_neg]) ).
cnf(c_7093,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_310,c_534]) ).
cnf(c_7094,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_312,c_7093]) ).
cnf(c_7095,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_311,c_7094]) ).
cnf(c_1401,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_313,c_7095]) ).
cnf(c_1441,plain,
( ~ subs(B,stehen_1_1)
| ~ scar(B,c140)
| ~ loc(B,A)
| ~ in(A,c147) ),
inference(resolve,[status(thm)],[c_1401,c_309]) ).
cnf(c_1486,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c140)
| ~ loc(A,c169) ),
inference(resolve,[status(thm)],[c_1441,c_316]) ).
cnf(c_6979,plain,
( ~ subs(sK0(A,c169),stehen_1_1)
| ~ scar(sK0(A,c169),c140)
| ~ loc(A,c169) ),
inference(resolve,[status(thm)],[c_281,c_1486]) ).
cnf(c_6997,plain,
( ~ subs(sK0(c140,c169),stehen_1_1)
| ~ scar(sK0(c140,c169),c140) ),
inference(resolve,[status(thm)],[c_6979,c_308]) ).
cnf(c_7096,plain,
( ~ subs(sK0(c140,c169),stehen_1_1)
| ~ loc(c140,c169) ),
inference(resolve,[status(thm)],[c_282,c_6997]) ).
cnf(c_7003,plain,
~ subs(sK0(c140,c169),stehen_1_1),
inference(resolve,[status(thm)],[c_308,c_7096]) ).
cnf(c_7097,plain,
~ loc(c140,c169),
inference(resolve,[status(thm)],[c_283,c_7003]) ).
cnf(c_7092,plain,
$false,
inference(resolve,[status(thm)],[c_308,c_7097]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 01:05:01 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 281488 was started by sandbox2 on n014,
% 0.09/0.37 % Sun Sep 27 01:05:01 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 8.89/1.79
% 8.89/1.79 % SInE (scan): 93 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10067 zapped, of 10188 axioms (depth 3).
% 8.89/1.79
% 8.89/1.79 % From the command line: assign(max_seconds, 300).
% 8.89/1.79
% 8.89/1.79 % given #500 (F,wt=12): 2368 -loc(c10,c169) | -sub(kirchenf__374rst_1_1,c140) | -subs(c10,A) | -subs(A,stehen_1_1). [resolve(2360,b,210,c)].
% 8.89/1.79
% 8.89/1.79 % given #1000 (W,wt=3): 2785 has_refer_leq(c148,refer_c). [ur(177,a,469,a,b,179,a)].
% 8.89/1.79
% 8.89/1.79 % SZS status Theorem for theBenchmark
% 8.89/1.79
% 8.89/1.79 % Proof 1 at 1.12 (+ 0.15) seconds.
% 8.89/1.79 % Length of proof is 21.
% 8.89/1.79 % Level of proof is 8.
% 8.89/1.79 % Maximum clause weight is 27.000.
% 8.89/1.79 % Given clauses 1079.
% 8.89/1.79
% 8.89/1.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------