%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+3 : 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 : n005.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 13.72s 2.47s
% Output : CNFRefutation 13.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 273 ( 12 avg)
% Number of connectives : 404 ( 60 ~; 47 |; 296 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 273 ( 14 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 69 ( 69 usr; 67 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_2,axiom,
( varia(eltern_1_1,varia_c)
& refer(eltern_1_1,refer_c)
& quant(eltern_1_1,one)
& gener(eltern_1_1,ge)
& fact(eltern_1_1,real)
& etype(eltern_1_1,int0)
& card(eltern_1_1,int1)
& sort(eltern_1_1,d)
& card(c1,int1970)
& sort(c1,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)
& sort(rom_0,fe)
& varia(c5,varia_c)
& refer(c5,refer_c)
& quant(c5,quant_c)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,etype_c)
& card(c5,card_c)
& sort(c5,ta)
& sort(c5,oa)
& sort(c5,me)
& 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(c400,varia_c)
& refer(c400,indet)
& quant(c400,one)
& gener(c400,sp)
& fact(c400,real)
& etype(c400,int0)
& card(c400,int1)
& sort(c400,na)
& varia(c399,con)
& refer(c399,det)
& quant(c399,one)
& gener(c399,sp)
& fact(c399,real)
& etype(c399,int0)
& card(c399,int1)
& sort(c399,io)
& sort(c399,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(c402,con)
& refer(c402,det)
& quant(c402,one)
& gener(c402,sp)
& fact(c402,real)
& etype(c402,int0)
& card(c402,int1)
& sort(c402,l)
& varia(c393,con)
& refer(c393,det)
& quant(c393,one)
& gener(c393,sp)
& fact(c393,real)
& etype(c393,int0)
& card(c393,int1)
& sort(c393,d)
& varia(konzert__1_1,varia_c)
& refer(konzert__1_1,refer_c)
& quant(konzert__1_1,one)
& gener(konzert__1_1,ge)
& fact(konzert__1_1,real)
& etype(konzert__1_1,int0)
& card(konzert__1_1,int1)
& sort(konzert__1_1,io)
& sort(konzert__1_1,d)
& sort(konzert__1_1,ad)
& varia(c403,con)
& refer(c403,det)
& quant(c403,one)
& gener(c403,sp)
& fact(c403,real)
& etype(c403,int0)
& card(c403,int1)
& sort(c403,l)
& gener(aufnehmen_1_1,ge)
& fact(aufnehmen_1_1,real)
& sort(aufnehmen_1_1,dn)
& varia(c389,con)
& refer(c389,det)
& quant(c389,one)
& gener(c389,sp)
& fact(c389,real)
& etype(c389,int0)
& card(c389,int1)
& sort(c389,io)
& sort(c389,d)
& sort(c389,ad)
& gener(c384,sp)
& fact(c384,real)
& sort(c384,dn)
& sort(italien_0,fe)
& varia(c35,varia_c)
& refer(c35,indet)
& quant(c35,one)
& gener(c35,sp)
& fact(c35,real)
& etype(c35,int0)
& card(c35,int1)
& sort(c35,na)
& varia(c34,con)
& refer(c34,det)
& quant(c34,one)
& gener(c34,sp)
& fact(c34,real)
& etype(c34,int0)
& card(c34,int1)
& sort(c34,io)
& sort(c34,d)
& varia(c4,con)
& refer(c4,det)
& quant(c4,one)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int0)
& card(c4,int1)
& sort(c4,t)
& gener(gehen_1_1,ge)
& fact(gehen_1_1,real)
& sort(gehen_1_1,da)
& varia(c38,con)
& refer(c38,det)
& quant(c38,one)
& gener(c38,sp)
& fact(c38,real)
& etype(c38,int0)
& card(c38,int1)
& sort(c38,l)
& varia(retro_1_1,varia_c)
& refer(retro_1_1,refer_c)
& quant(retro_1_1,one)
& gener(retro_1_1,sp)
& fact(retro_1_1,real)
& etype(retro_1_1,int0)
& card(retro_1_1,int1)
& sort(retro_1_1,l)
& varia(c37,con)
& refer(c37,det)
& quant(c37,one)
& gener(c37,sp)
& fact(c37,real)
& etype(c37,int0)
& card(c37,int1)
& sort(c37,l)
& gener(c3,sp)
& fact(c3,real)
& sort(c3,da)
& varia(sohn_1_1,varia_c)
& refer(sohn_1_1,refer_c)
& quant(sohn_1_1,one)
& gener(sohn_1_1,ge)
& fact(sohn_1_1,real)
& etype(sohn_1_1,int0)
& card(sohn_1_1,int1)
& sort(sohn_1_1,d)
& varia(c25,con)
& refer(c25,det)
& quant(c25,one)
& gener(c25,sp)
& fact(c25,real)
& etype(c25,int0)
& card(c25,int1)
& sort(c25,d)
& sort(schweiz_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(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(c21,varia_c)
& refer(c21,indet)
& quant(c21,one)
& gener(c21,sp)
& fact(c21,real)
& etype(c21,int0)
& card(c21,int1)
& sort(c21,na)
& varia(c20,con)
& refer(c20,det)
& quant(c20,one)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,int0)
& card(c20,int1)
& sort(c20,io)
& sort(c20,d)
& varia(c9,varia_c)
& refer(c9,det)
& quant(c9,mult)
& gener(c9,sp)
& fact(c9,real)
& etype(c9,int1)
& card(c9,cons(x_constant,cons(int1,nil)))
& sort(c9,d)
& varia(c13,varia_c)
& refer(c13,det)
& quant(c13,one)
& gener(c13,sp)
& fact(c13,real)
& etype(c13,int0)
& card(c13,int1)
& sort(c13,o)
& pred(c9,eltern_1_1)
& val(c5,c1)
& sub(c5,jahr__1_1)
& in(c403,c393)
& in(c402,c399)
& val(c400,rom_0)
& sub(c400,name_1_1)
& attr(c4,c5)
& sub(c399,stadt__1_1)
& attr(c399,c400)
& sub(c393,kolosseum_1_1)
& loc(c393,c402)
& sub(c389,konzert__1_1)
& loc(c389,c403)
& subs(c384,aufnehmen_1_1)
& obj(c384,c389)
& flp(c38,c20)
& flp(c37,c34)
& val(c35,italien_0)
& sub(c35,name_1_1)
& sub(c34,land_1_1)
& attr(c34,c35)
& temp(c3,c4)
& subs(c3,gehen_1_1)
& origl(c3,c38)
& loc(c3,retro_1_1)
& dircl(c3,c37)
& assoc(c3,c25)
& agt(c3,c9)
& sub(c25,sohn_1_1)
& val(c21,schweiz_0)
& sub(c21,name_1_1)
& sub(c20,land_1_1)
& attr(c20,c21)
& attch(c13,c9) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_insicht_2) ).
fof(synth_qa07_004_insicht_2,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_2) ).
fof(synth_qa07_004_insicht_2_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_2]) ).
fof(nnf_46,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_46]) ).
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_205,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_206,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_207,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_239,plain,
loc(c393,c402),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_2]) ).
cnf(c_240,plain,
sub(c393,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_2]) ).
cnf(c_241,plain,
attr(c399,c400),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_2]) ).
cnf(c_242,plain,
sub(c399,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_2]) ).
cnf(c_244,plain,
sub(c400,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_2]) ).
cnf(c_245,plain,
val(c400,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_2]) ).
cnf(c_246,plain,
in(c402,c399),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_2]) ).
cnf(c_489,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_2_neg]) ).
cnf(c_5546,negated_conjecture,
( ~ val(c400,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c399,stadt__1_1)
| ~ sub(c400,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c399) ),
inference(resolve,[status(thm)],[c_241,c_489]) ).
cnf(c_5547,negated_conjecture,
( ~ val(c400,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c399,stadt__1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c399) ),
inference(resolve,[status(thm)],[c_244,c_5546]) ).
cnf(c_5548,negated_conjecture,
( ~ val(c400,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c399) ),
inference(resolve,[status(thm)],[c_242,c_5547]) ).
cnf(c_1071,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c399) ),
inference(resolve,[status(thm)],[c_245,c_5548]) ).
cnf(c_1176,plain,
( ~ subs(A,stehen_1_1)
| ~ sub(B,kolosseum_1_1)
| ~ scar(A,B)
| ~ loc(A,c402) ),
inference(resolve,[status(thm)],[c_1071,c_246]) ).
cnf(c_1187,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c393)
| ~ loc(A,c402) ),
inference(resolve,[status(thm)],[c_1176,c_240]) ).
cnf(c_5374,plain,
( ~ subs(sK0(A,c402),stehen_1_1)
| ~ scar(sK0(A,c402),c393)
| ~ loc(A,c402) ),
inference(resolve,[status(thm)],[c_205,c_1187]) ).
cnf(c_5398,plain,
( ~ subs(sK0(c393,c402),stehen_1_1)
| ~ scar(sK0(c393,c402),c393) ),
inference(resolve,[status(thm)],[c_5374,c_239]) ).
cnf(c_5549,plain,
( ~ subs(sK0(c393,c402),stehen_1_1)
| ~ loc(c393,c402) ),
inference(resolve,[status(thm)],[c_206,c_5398]) ).
cnf(c_5435,plain,
~ subs(sK0(c393,c402),stehen_1_1),
inference(resolve,[status(thm)],[c_239,c_5549]) ).
cnf(c_5550,plain,
~ loc(c393,c402),
inference(resolve,[status(thm)],[c_207,c_5435]) ).
cnf(c_5545,plain,
$false,
inference(resolve,[status(thm)],[c_239,c_5550]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+3 : 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 : n005.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 01:06:01 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 3490271 was started by sandbox2 on n005,
% 0.09/0.37 % Sun Sep 27 01:06:01 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 13.72/2.47
% 13.72/2.47 % SInE (scan): 89 to sos (tol 1.5x), 17 to usable (tol 2.0x), 10082 zapped, of 10188 axioms (depth 3).
% 13.72/2.47
% 13.72/2.47 % From the command line: assign(max_seconds, 300).
% 13.72/2.47
% 13.72/2.47 % given #500 (F,wt=12): 2306 -scar(c393,c21) | -subs(c393,stehen_1_1) | -sub(name_1_1,A) | -sub(A,c393). [resolve(2302,c,151,c)].
% 13.72/2.47
% 13.72/2.47 % SZS status Theorem for theBenchmark
% 13.72/2.47
% 13.72/2.47 % Proof 1 at 1.74 (+ 0.23) seconds.
% 13.72/2.47 % Length of proof is 21.
% 13.72/2.47 % Level of proof is 8.
% 13.72/2.47 % Maximum clause weight is 27.000.
% 13.72/2.47 % Given clauses 859.
% 13.72/2.47
% 13.72/2.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------