%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+1 : 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 : n004.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 07:07:33 AM UTC 2026
% Result : Theorem 8.13s 1.70s
% Output : CNFRefutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 257 ( 0 equ)
% Maximal formula atoms : 164 ( 8 avg)
% Number of connectives : 272 ( 46 ~; 39 |; 185 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 164 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 49 con; 0-2 aty)
% Number of variables : 50 ( 0 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_insicht_3,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)
& gener(propr_0,gener_c)
& fact(propr_0,real)
& sort(propr_0,st)
& gener(c54,sp)
& fact(c54,real)
& sort(c54,st)
& sort(new_york_0,fe)
& varia(c49,varia_c)
& refer(c49,indet)
& quant(c49,one)
& gener(c49,sp)
& fact(c49,real)
& etype(c49,int0)
& card(c49,int1)
& sort(c49,na)
& varia(c48,con)
& refer(c48,det)
& quant(c48,one)
& gener(c48,sp)
& fact(c48,real)
& etype(c48,int0)
& card(c48,int1)
& sort(c48,io)
& sort(c48,d)
& varia(c57,con)
& refer(c57,det)
& quant(c57,one)
& gener(c57,sp)
& fact(c57,real)
& etype(c57,int0)
& card(c57,int1)
& sort(c57,l)
& varia(c41,con)
& refer(c41,det)
& quant(c41,one)
& gener(c41,sp)
& fact(c41,real)
& etype(c41,int0)
& card(c41,int1)
& sort(c41,d)
& varia(gr__366__337e_1_1,varia_c)
& refer(gr__366__337e_1_1,refer_c)
& quant(gr__366__337e_1_1,one)
& gener(gr__366__337e_1_1,ge)
& fact(gr__366__337e_1_1,real)
& etype(gr__366__337e_1_1,int0)
& card(gr__366__337e_1_1,int1)
& sort(gr__366__337e_1_1,oa)
& varia(c36,con)
& refer(c36,det)
& quant(c36,mult)
& gener(c36,sp)
& fact(c36,real)
& etype(c36,int1)
& card(c36,cons(x_constant,cons(int1,nil)))
& sort(c36,oa)
& sort(gleich_1_1,rq)
& 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)
& sort(paris_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(c14,varia_c)
& refer(c14,indet)
& quant(c14,one)
& gener(c14,sp)
& fact(c14,real)
& etype(c14,int0)
& card(c14,int1)
& sort(c14,na)
& varia(c13,con)
& refer(c13,det)
& quant(c13,one)
& gener(c13,sp)
& fact(c13,real)
& etype(c13,int0)
& card(c13,int1)
& sort(c13,io)
& sort(c13,d)
& gener(befinden_1_2,ge)
& fact(befinden_1_2,real)
& sort(befinden_1_2,st)
& varia(c18,varia_c)
& refer(c18,indet)
& quant(c18,nfquant)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int1)
& card(c18,int4)
& sort(c18,d)
& varia(c59,con)
& refer(c59,det)
& quant(c59,one)
& gener(c59,sp)
& fact(c59,real)
& etype(c59,int0)
& card(c59,int1)
& sort(c59,l)
& gener(c11,sp)
& fact(c11,real)
& sort(c11,st)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& in(c59,c13)
& in(c57,c48)
& subr(c54,propr_0)
& instr(c54,c41)
& assoc(c54,c36)
& arg2(c54,gleich_1_1)
& arg1(c54,c18)
& val(c49,new_york_0)
& sub(c49,name_1_1)
& sub(c48,stadt__1_1)
& attr(c48,c49)
& sub(c41,freiheitsstatue_1_1)
& loc(c41,c57)
& pred(c36,gr__366__337e_1_1)
& propr(c18,gleich_1_1)
& pred(c18,freiheitsstatue_1_1)
& val(c14,paris_0)
& sub(c14,name_1_1)
& sub(c13,stadt__1_1)
& attr(c13,c14)
& subs(c11,befinden_1_2)
& scar(c11,c18)
& loc(c11,c59) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_insicht_3) ).
fof(synth_qa07_003_insicht_3,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)
& attr(X2,X1)
& flp(X0,X2) ),
file('theBenchmark.p',synth_qa07_003_insicht_3) ).
fof(synth_qa07_003_insicht_3_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)
& attr(X2,X1)
& flp(X0,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_insicht_3]) ).
cnf(c_207,plain,
( flp(A,B)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[local_function___flp]) ).
fof(nnf_44,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_44]) ).
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_210,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_211,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_212,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_225,plain,
loc(c41,c57),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_insicht_3]) ).
cnf(c_226,plain,
sub(c41,freiheitsstatue_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_insicht_3]) ).
cnf(c_227,plain,
attr(c48,c49),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_insicht_3]) ).
cnf(c_229,plain,
sub(c49,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_insicht_3]) ).
cnf(c_230,plain,
val(c49,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_insicht_3]) ).
cnf(c_236,plain,
in(c57,c48),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_insicht_3]) ).
cnf(c_377,negated_conjecture,
( ~ val(C,new_york_0)
| ~ subs(D,stehen_1_1)
| ~ sub(E,freiheitsstatue_1_1)
| ~ sub(C,name_1_1)
| ~ scar(D,E)
| ~ loc(D,A)
| ~ attr(B,C)
| ~ flp(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_insicht_3_neg]) ).
cnf(c_6991,negated_conjecture,
( ~ val(c49,new_york_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,freiheitsstatue_1_1)
| ~ sub(c49,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,c48) ),
inference(resolve,[status(thm)],[c_227,c_377]) ).
cnf(c_6992,negated_conjecture,
( ~ val(c49,new_york_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,freiheitsstatue_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,c48) ),
inference(resolve,[status(thm)],[c_229,c_6991]) ).
cnf(c_651,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,freiheitsstatue_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,c48) ),
inference(resolve,[status(thm)],[c_230,c_6992]) ).
cnf(c_679,plain,
( ~ subs(B,stehen_1_1)
| ~ scar(B,c41)
| ~ loc(B,A)
| ~ flp(A,c48) ),
inference(resolve,[status(thm)],[c_651,c_226]) ).
cnf(c_5145,plain,
flp(c57,c48),
inference(resolve,[status(thm)],[c_207,c_236]) ).
cnf(c_6299,plain,
loc(sK0(c41,c57),c57),
inference(resolve,[status(thm)],[c_210,c_225]) ).
cnf(c_6338,plain,
scar(sK0(c41,c57),c41),
inference(resolve,[status(thm)],[c_211,c_225]) ).
cnf(c_6527,plain,
subs(sK0(c41,c57),stehen_1_1),
inference(resolve,[status(thm)],[c_212,c_225]) ).
cnf(c_6993,plain,
( ~ subs(sK0(c41,c57),stehen_1_1)
| ~ scar(sK0(c41,c57),c41)
| ~ flp(c57,c48) ),
inference(resolve,[status(thm)],[c_6299,c_679]) ).
cnf(c_6994,plain,
( ~ subs(sK0(c41,c57),stehen_1_1)
| ~ scar(sK0(c41,c57),c41) ),
inference(resolve,[status(thm)],[c_5145,c_6993]) ).
cnf(c_6995,plain,
~ subs(sK0(c41,c57),stehen_1_1),
inference(resolve,[status(thm)],[c_6338,c_6994]) ).
cnf(c_6990,plain,
$false,
inference(resolve,[status(thm)],[c_6527,c_6995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR113+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n004.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 01:02:22 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 2995052 was started by sandbox on n004,
% 0.17/0.44 % Sun Sep 27 01:02:22 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 8.13/1.70
% 8.13/1.70 % SInE (scan): 81 to sos (tol 1.5x), 16 to usable (tol 2.0x), 10091 zapped, of 10188 axioms (depth 3).
% 8.13/1.70
% 8.13/1.70 % From the command line: assign(max_seconds, 300).
% 8.13/1.70
% 8.13/1.70 % given #500 (F,wt=15): 1474 -subs(A,stehen_1_1) | -sub(c18,c41) | -flp(c59,c48) | -subs(c11,B) | -subs(B,A). [resolve(1332,a,153,c)].
% 8.13/1.70
% 8.13/1.70 % given #1000 (W,wt=5): 1864 subs(f1(c41,c57),befinden_1_2). [ur(161,a,225,a)].
% 8.13/1.70
% 8.13/1.70 % SZS status Theorem for theBenchmark
% 8.13/1.70
% 8.13/1.70 % Proof 1 at 0.94 (+ 0.17) seconds.
% 8.13/1.70 % Length of proof is 22.
% 8.13/1.70 % Level of proof is 4.
% 8.13/1.70 % Maximum clause weight is 24.000.
% 8.13/1.70 % Given clauses 1012.
% 8.13/1.70
% 8.13/1.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------