%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+16 : 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 : n001.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 07:07:32 AM UTC 2026
% Result : Theorem 6.69s 1.37s
% Output : CNFRefutation 6.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 254 ( 0 equ)
% Maximal formula atoms : 189 ( 10 avg)
% Number of connectives : 260 ( 30 ~; 23 |; 206 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 189 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 51 con; 0-2 aty)
% Number of variables : 46 ( 11 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_003_mira_wp_208_a19713,axiom,
( gener(plazieren_1_1,ge)
& fact(plazieren_1_1,real)
& sort(plazieren_1_1,da)
& varia(statue_1_1,varia_c)
& refer(statue_1_1,refer_c)
& quant(statue_1_1,one)
& gener(statue_1_1,ge)
& fact(statue_1_1,real)
& etype(statue_1_1,int0)
& card(statue_1_1,int1)
& sort(statue_1_1,d)
& varia(freiheit_1_1,varia_c)
& refer(freiheit_1_1,refer_c)
& quant(freiheit_1_1,one)
& gener(freiheit_1_1,ge)
& fact(freiheit_1_1,real)
& etype(freiheit_1_1,int0)
& card(freiheit_1_1,int1)
& sort(freiheit_1_1,io)
& sort(freiheit_1_1,as)
& sort(new_jersey_0,fe)
& varia(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,one)
& gener(gebietsinstitution_1_1,ge)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,int0)
& card(gebietsinstitution_1_1,int1)
& sort(gebietsinstitution_1_1,io)
& sort(gebietsinstitution_1_1,d)
& varia(c55268,varia_c)
& refer(c55268,indet)
& quant(c55268,one)
& gener(c55268,sp)
& fact(c55268,real)
& etype(c55268,int0)
& card(c55268,int1)
& sort(c55268,na)
& gener(geh__366ren_1_3,ge)
& fact(geh__366ren_1_3,real)
& sort(geh__366ren_1_3,st)
& varia(c55267,con)
& refer(c55267,det)
& quant(c55267,one)
& gener(c55267,sp)
& fact(c55267,real)
& etype(c55267,int0)
& card(c55267,int1)
& sort(c55267,io)
& sort(c55267,d)
& varia(c55070,varia_c)
& refer(c55070,det)
& quant(c55070,one)
& gener(c55070,sp)
& fact(c55070,real)
& etype(c55070,int0)
& card(c55070,int1)
& sort(c55070,o)
& gener(c55236,sp)
& fact(c55236,real)
& sort(c55236,st)
& gener(equ_0,gener_c)
& fact(equ_0,real)
& sort(equ_0,st)
& gener(nicht_1_1,gener_c)
& fact(nicht_1_1,real)
& sort(nicht_1_1,md)
& sort(c7,tq)
& gener(c54369,sp)
& fact(c54369,real)
& sort(c54369,st)
& varia(c50180,varia_c)
& refer(c50180,det)
& quant(c50180,one)
& gener(c50180,sp)
& fact(c50180,real)
& etype(c50180,int0)
& card(c50180,int1)
& sort(c50180,o)
& varia(insel__1_1,varia_c)
& refer(insel__1_1,refer_c)
& quant(insel__1_1,one)
& gener(insel__1_1,ge)
& fact(insel__1_1,real)
& etype(insel__1_1,int0)
& card(insel__1_1,int1)
& sort(insel__1_1,d)
& varia(c55271,varia_c)
& refer(c55271,det)
& quant(c55271,one)
& gener(c55271,sp)
& fact(c55271,real)
& etype(c55271,int0)
& card(c55271,int1)
& sort(c55271,l)
& varia(c50171,con)
& refer(c50171,det)
& quant(c50171,one)
& gener(c50171,sp)
& fact(c50171,real)
& etype(c50171,int0)
& card(c50171,int1)
& sort(c50171,d)
& sort(new_york_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(c42,varia_c)
& refer(c42,indet)
& quant(c42,one)
& gener(c42,sp)
& fact(c42,real)
& etype(c42,int0)
& card(c42,int1)
& sort(c42,na)
& varia(c41,con)
& refer(c41,det)
& quant(c41,one)
& gener(c41,sp)
& fact(c41,real)
& etype(c41,int0)
& card(c41,int1)
& sort(c41,io)
& sort(c41,d)
& varia(freiheitsstatue_1_1,varia_c)
& refer(freiheitsstatue_1_1,refer_c)
& quant(freiheitsstatue_1_1,one)
& gener(freiheitsstatue_1_1,ge)
& fact(freiheitsstatue_1_1,real)
& etype(freiheitsstatue_1_1,int0)
& card(freiheitsstatue_1_1,int1)
& sort(freiheitsstatue_1_1,d)
& gener(geh__366ren_1_1,ge)
& fact(geh__366ren_1_1,real)
& sort(geh__366ren_1_1,st)
& varia(c33,con)
& refer(c33,det)
& quant(c33,one)
& gener(c33,sp)
& fact(c33,real)
& etype(c33,int0)
& card(c33,int1)
& sort(c33,d)
& gener(c24,sp)
& fact(c24,real)
& sort(c24,st)
& chsp2(plazieren_1_1,c7)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& auf(c55271,c33)
& val(c55268,new_jersey_0)
& sub(c55268,name_1_1)
& sub(c55267,gebietsinstitution_1_1)
& attr(c55267,c55268)
& subs(c55236,geh__366ren_1_3)
& semrel(c55236,c54369)
& arg2(c55236,c55267)
& arg1(c55236,c55070)
& subr(c54369,equ_0)
& semrel(c54369,c24)
& modl(c54369,nicht_1_1)
& assoc(c54369,c7)
& arg2(c54369,c50171)
& arg1(c54369,c50180)
& equ(c50180,c50171)
& sub(c50171,insel__1_1)
& loc(c50171,c55271)
& val(c42,new_york_0)
& sub(c42,name_1_1)
& sub(c41,stadt__1_1)
& attr(c41,c42)
& attch(c41,c33)
& sub(c33,freiheitsstatue_1_1)
& subs(c24,geh__366ren_1_1)
& scar(c24,c33) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_208_a19713) ).
fof(synth_qa07_003_mira_wp_208_a19713,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,new_york_0)
& subs(X3,stehen_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& attr(X2,X1) ),
file('theBenchmark.p',synth_qa07_003_mira_wp_208_a19713) ).
fof(synth_qa07_003_mira_wp_208_a19713_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,new_york_0)
& subs(X3,stehen_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& attr(X2,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_208_a19713]) ).
fof(nnf_30,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_30]) ).
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_174,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_175,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_176,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_185,plain,
attr(c41,c42),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_208_a19713]) ).
cnf(c_187,plain,
sub(c42,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_208_a19713]) ).
cnf(c_188,plain,
val(c42,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_208_a19713]) ).
cnf(c_189,plain,
loc(c50171,c55271),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_208_a19713]) ).
cnf(c_368,negated_conjecture,
( ~ val(B,new_york_0)
| ~ subs(C,stehen_1_1)
| ~ sub(B,name_1_1)
| ~ scar(C,E)
| ~ loc(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_mira_wp_208_a19713_neg]) ).
cnf(c_6997,negated_conjecture,
( ~ val(c42,new_york_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c42,name_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_185,c_368]) ).
cnf(c_6998,negated_conjecture,
( ~ val(c42,new_york_0)
| ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_187,c_6997]) ).
cnf(c_755,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_188,c_6998]) ).
cnf(c_2821,plain,
loc(sK0(c50171,c55271),c55271),
inference(resolve,[status(thm)],[c_174,c_189]) ).
cnf(c_2865,plain,
scar(sK0(c50171,c55271),c50171),
inference(resolve,[status(thm)],[c_175,c_189]) ).
cnf(c_2939,plain,
subs(sK0(c50171,c55271),stehen_1_1),
inference(resolve,[status(thm)],[c_176,c_189]) ).
cnf(c_6999,plain,
( ~ subs(sK0(c50171,c55271),stehen_1_1)
| ~ scar(sK0(c50171,c55271),A) ),
inference(resolve,[status(thm)],[c_2821,c_755]) ).
cnf(c_6995,plain,
~ scar(sK0(c50171,c55271),A),
inference(resolve,[status(thm)],[c_2939,c_6999]) ).
cnf(c_6996,plain,
$false,
inference(resolve,[status(thm)],[c_6995,c_2865]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+16 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 01:07:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 3045717 was started by sandbox on n001,
% 0.09/0.38 % Sun Sep 27 01:07:59 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 6.69/1.37
% 6.69/1.37 % SInE (scan): 69 to sos (tol 1.5x), 19 to usable (tol 2.0x), 10100 zapped, of 10188 axioms (depth 3).
% 6.69/1.37
% 6.69/1.37 % From the command line: assign(max_seconds, 300).
% 6.69/1.37
% 6.69/1.37 % given #500 (F,wt=14): 2875 -loc(plazieren_2_1,A) | -chea(plazieren_1_1,c24) | -subs(geh__366ren_1_1,stehen_1_1). [resolve(1882,a,106,a)].
% 6.69/1.37
% 6.69/1.37 % given #1000 (W,wt=8): 3441 subsort(dy,ent). [ur(132,a,144,a,b,1366,a)].
% 6.69/1.37
% 6.69/1.37 % SZS status Theorem for theBenchmark
% 6.69/1.37
% 6.69/1.37 % Proof 1 at 0.76 (+ 0.15) seconds.
% 6.69/1.37 % Length of proof is 17.
% 6.69/1.37 % Level of proof is 4.
% 6.69/1.37 % Maximum clause weight is 23.000.
% 6.69/1.37 % Given clauses 1118.
% 6.69/1.37
% 6.69/1.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------