%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+28 : 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 : n020.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 07:07:34 AM UTC 2026
% Result : Theorem 8.53s 1.58s
% Output : CNFRefutation 8.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 237 ( 0 equ)
% Maximal formula atoms : 148 ( 8 avg)
% Number of connectives : 256 ( 48 ~; 39 |; 167 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 148 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 52 ( 52 usr; 51 con; 0-2 aty)
% Number of variables : 54 ( 5 sgn 14 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(local_function___flp,axiom,
! [X0,X1] :
( ( bei(X0,X1)
| an(X0,X1)
| in(X0,X1) )
=> flp(X0,X1) ),
file('theBenchmark.p',local_function___flp) ).
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_qapn_31_a19713,axiom,
( 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(klein_1_1,mq)
& 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(c55,varia_c)
& refer(c55,indet)
& quant(c55,one)
& gener(c55,sp)
& fact(c55,real)
& etype(c55,int0)
& card(c55,int1)
& sort(c55,na)
& varia(c54,con)
& refer(c54,det)
& quant(c54,one)
& gener(c54,sp)
& fact(c54,real)
& etype(c54,int0)
& card(c54,int1)
& sort(c54,io)
& sort(c54,d)
& varia(bootshafen_1_1,varia_c)
& refer(bootshafen_1_1,refer_c)
& quant(bootshafen_1_1,one)
& gener(bootshafen_1_1,ge)
& fact(bootshafen_1_1,real)
& etype(bootshafen_1_1,int0)
& card(bootshafen_1_1,int1)
& sort(bootshafen_1_1,d)
& varia(c49,con)
& refer(c49,det)
& quant(c49,one)
& gener(c49,sp)
& fact(c49,real)
& etype(c49,int0)
& card(c49,int1)
& sort(c49,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)
& varia(c58,con)
& refer(c58,det)
& quant(c58,one)
& gener(c58,sp)
& fact(c58,real)
& etype(c58,int0)
& card(c58,int1)
& sort(c58,l)
& varia(c44,con)
& refer(c44,det)
& quant(c44,one)
& gener(c44,sp)
& fact(c44,real)
& etype(c44,int0)
& card(c44,int1)
& sort(c44,d)
& varia(figur_1_1,varia_c)
& refer(figur_1_1,refer_c)
& quant(figur_1_1,one)
& gener(figur_1_1,ge)
& fact(figur_1_1,real)
& etype(figur_1_1,int0)
& card(figur_1_1,int1)
& sort(figur_1_1,d)
& gener(meter_1_1,ge)
& sort(meter_1_1,me)
& card(c25,int5)
& sort(c25,nu)
& gener(prop_0,gener_c)
& fact(prop_0,real)
& sort(prop_0,st)
& varia(c39,con)
& refer(c39,refer_c)
& quant(c39,quant_c)
& gener(c39,gener_c)
& fact(c39,real)
& etype(c39,etype_c)
& card(c39,card_c)
& sort(c39,m)
& sort(c39,co)
& sort(c56,tq)
& varia(c4,con)
& refer(c4,det)
& quant(c4,one)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int0)
& card(c4,int1)
& sort(c4,d)
& gener(c23,sp)
& fact(c23,real)
& sort(c23,st)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& in(c58,c49)
& comp(c56,klein_1_1,c44)
& val(c55,new_york_0)
& sub(c55,name_1_1)
& sub(c54,stadt__1_1)
& attr(c54,c55)
& attch(c54,c49)
& sub(c49,bootshafen_1_1)
& sub(c44,freiheitsstatue_1_1)
& loc(c44,c58)
& sub(c4,figur_1_1)
& prop(c4,c56)
& quant_p3(c39,c25,meter_1_1)
& subr(c23,prop_0)
& assoc(c23,c39)
& arg2(c23,c56)
& arg1(c23,c4) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_qapn_31_a19713) ).
fof(synth_qa07_003_qapn_31_a19713,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,new_york_0)
& subs(X3,stehen_1_1)
& sub(X4,freiheitsstatue_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& flp(X0,X2) ),
file('theBenchmark.p',synth_qa07_003_qapn_31_a19713) ).
fof(synth_qa07_003_qapn_31_a19713_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,new_york_0)
& subs(X3,stehen_1_1)
& sub(X4,freiheitsstatue_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& flp(X0,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_qapn_31_a19713]) ).
cnf(c_185,plain,
( flp(A,B)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[local_function___flp]) ).
fof(nnf_35,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_35]) ).
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_188,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_189,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_190,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_200,plain,
loc(c44,c58),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c_201,plain,
sub(c44,freiheitsstatue_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c_206,plain,
sub(c55,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c_207,plain,
val(c55,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c_209,plain,
in(c58,c49),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c_339,negated_conjecture,
( ~ val(E,new_york_0)
| ~ subs(C,stehen_1_1)
| ~ sub(D,freiheitsstatue_1_1)
| ~ sub(E,name_1_1)
| ~ scar(C,D)
| ~ loc(C,A)
| ~ flp(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_qapn_31_a19713_neg]) ).
cnf(c_341,plain,
( ~ val(D,new_york_0)
| ~ subs(C,stehen_1_1)
| ~ sub(D,name_1_1)
| ~ scar(C,c44)
| ~ loc(C,A)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_201,c_339]) ).
cnf(c_4203,plain,
( ~ val(c55,new_york_0)
| ~ subs(C,stehen_1_1)
| ~ scar(C,c44)
| ~ loc(C,A)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_206,c_341]) ).
cnf(c_374,plain,
( ~ subs(C,stehen_1_1)
| ~ scar(C,c44)
| ~ loc(C,A)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_207,c_4203]) ).
cnf(c_1556,plain,
( ~ subs(C,stehen_1_1)
| ~ scar(C,c44)
| ~ loc(C,A)
| ~ in(A,B) ),
inference(resolve,[status(thm)],[c_185,c_374]) ).
cnf(c_1939,plain,
subs(sK0(c44,c58),stehen_1_1),
inference(resolve,[status(thm)],[c_190,c_200]) ).
cnf(c_2155,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c44)
| ~ loc(A,c58) ),
inference(resolve,[status(thm)],[c_1556,c_209]) ).
cnf(c_2168,plain,
( ~ loc(A,c58)
| ~ subs(sK0(A,c58),stehen_1_1)
| ~ scar(sK0(A,c58),c44) ),
inference(resolve,[status(thm)],[c_2155,c_188]) ).
cnf(c_4204,plain,
( ~ loc(c44,c58)
| ~ loc(c44,c58)
| ~ subs(sK0(c44,c58),stehen_1_1) ),
inference(resolve,[status(thm)],[c_2168,c_189]) ).
cnf(c_4205,plain,
( ~ loc(c44,c58)
| ~ subs(sK0(c44,c58),stehen_1_1) ),
inference(copy,[status(thm)],[c_4204]) ).
cnf(c_4206,plain,
~ loc(c44,c58),
inference(resolve,[status(thm)],[c_1939,c_4205]) ).
cnf(c_4202,plain,
$false,
inference(resolve,[status(thm)],[c_200,c_4206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+28 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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 01:04:19 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 2921228 was started by sandbox on n020,
% 0.09/0.37 % Sun Sep 27 01:04:19 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 8.53/1.58
% 8.53/1.58 % SInE (scan): 73 to sos (tol 1.5x), 17 to usable (tol 2.0x), 10098 zapped, of 10188 axioms (depth 3).
% 8.53/1.58
% 8.53/1.58 % From the command line: assign(max_seconds, 300).
% 8.53/1.58
% 8.53/1.58 % given #500 (F,wt=14): 2171 -scar(A,c44) | -subs(A,stehen_1_1) | -hsit(B,A) | -loc(B,c58). [resolve(2155,a,152,c)].
% 8.53/1.58
% 8.53/1.58 % SZS status Theorem for theBenchmark
% 8.53/1.58
% 8.53/1.58 % Proof 1 at 0.82 (+ 0.17) seconds.
% 8.53/1.58 % Length of proof is 21.
% 8.53/1.58 % Level of proof is 7.
% 8.53/1.58 % Maximum clause weight is 23.000.
% 8.53/1.58 % Given clauses 763.
% 8.53/1.58
% 8.53/1.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------