%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+14 : 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 : n016.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 11.69s 7.35s
% Output : CNFRefutation 11.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 269 ( 0 equ)
% Maximal formula atoms : 184 ( 9 avg)
% Number of connectives : 282 ( 42 ~; 35 |; 203 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 184 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 55 ( 55 usr; 54 con; 0-2 aty)
% Number of variables : 55 ( 8 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_mira_wp_198_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(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(c38,varia_c)
& refer(c38,indet)
& quant(c38,one)
& gener(c38,sp)
& fact(c38,real)
& etype(c38,int0)
& card(c38,int1)
& sort(c38,na)
& varia(c37,con)
& refer(c37,det)
& quant(c37,one)
& gener(c37,sp)
& fact(c37,real)
& etype(c37,int0)
& card(c37,int1)
& sort(c37,io)
& sort(c37,d)
& gener(einweihen_1_2,ge)
& fact(einweihen_1_2,real)
& sort(einweihen_1_2,da)
& varia(c41,con)
& refer(c41,det)
& quant(c41,one)
& gener(c41,sp)
& fact(c41,real)
& etype(c41,int0)
& card(c41,int1)
& sort(c41,l)
& gener(c29,sp)
& fact(c29,real)
& sort(c29,da)
& 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(c21,con)
& refer(c21,det)
& quant(c21,one)
& gener(c21,sp)
& fact(c21,real)
& etype(c21,int0)
& card(c21,int1)
& sort(c21,d)
& card(c16,int1886)
& sort(c16,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)
& varia(c20,varia_c)
& refer(c20,refer_c)
& quant(c20,quant_c)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,etype_c)
& card(c20,card_c)
& sort(c20,ta)
& sort(c20,oa)
& sort(c20,me)
& varia(c19,con)
& refer(c19,det)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,t)
& varia(c8,varia_c)
& refer(c8,det)
& quant(c8,one)
& gener(c8,sp)
& fact(c8,real)
& etype(c8,int0)
& card(c8,int1)
& sort(c8,ta)
& varia(c15,varia_c)
& refer(c15,det)
& quant(c15,one)
& gener(c15,sp)
& fact(c15,real)
& etype(c15,int0)
& card(c15,int1)
& sort(c15,o)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c12,varia_c)
& refer(c12,refer_c)
& quant(c12,one)
& gener(c12,ge)
& fact(c12,real)
& etype(c12,int0)
& card(c12,int1)
& sort(c12,ta)
& varia(zeit_1_1,varia_c)
& refer(zeit_1_1,refer_c)
& quant(zeit_1_1,one)
& gener(zeit_1_1,ge)
& fact(zeit_1_1,real)
& etype(zeit_1_1,int0)
& card(zeit_1_1,int1)
& sort(zeit_1_1,ta)
& varia(amt_1_2,varia_c)
& refer(amt_1_2,refer_c)
& quant(amt_1_2,one)
& gener(amt_1_2,ge)
& fact(amt_1_2,real)
& etype(amt_1_2,int0)
& card(amt_1_2,int1)
& sort(amt_1_2,io)
& sort(amt_1_2,ad)
& varia(amtszeit__1_1,varia_c)
& refer(amtszeit__1_1,refer_c)
& quant(amtszeit__1_1,one)
& gener(amtszeit__1_1,ge)
& fact(amtszeit__1_1,real)
& etype(amtszeit__1_1,int0)
& card(amtszeit__1_1,int1)
& sort(amtszeit__1_1,ta)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& sub(c8,c12)
& in(c41,c37)
& val(c38,new_york_0)
& sub(c38,name_1_1)
& sub(c37,stadt__1_1)
& attr(c37,c38)
& temp(c29,c8)
& temp(c29,c19)
& subs(c29,einweihen_1_2)
& obj(c29,c21)
& loc(c29,c41)
& sub(c21,freiheitsstatue_1_1)
& val(c20,c16)
& sub(c20,jahr__1_1)
& attr(c19,c20)
& pars(c15,c8)
& pmod(c12,erst_1_1,amtszeit__1_1)
& sub(amtszeit__1_1,zeit_1_1)
& assoc(amtszeit__1_1,amt_1_2) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_198_a19713) ).
fof(synth_qa07_003_mira_wp_198_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)
& flp(X0,X2) ),
file('theBenchmark.p',synth_qa07_003_mira_wp_198_a19713) ).
fof(synth_qa07_003_mira_wp_198_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)
& flp(X0,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_198_a19713]) ).
cnf(c_202,plain,
( flp(A,B)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[local_function___flp]) ).
fof(nnf_45,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_45]) ).
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_222,plain,
loc(c29,c41),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_198_a19713]) ).
cnf(c_227,plain,
attr(c37,c38),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_198_a19713]) ).
cnf(c_229,plain,
sub(c38,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_198_a19713]) ).
cnf(c_230,plain,
val(c38,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_198_a19713]) ).
cnf(c_231,plain,
in(c41,c37),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_198_a19713]) ).
cnf(c_396,negated_conjecture,
( ~ val(C,new_york_0)
| ~ subs(D,stehen_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_mira_wp_198_a19713_neg]) ).
cnf(c_6243,negated_conjecture,
( ~ val(c38,new_york_0)
| ~ subs(B,stehen_1_1)
| ~ sub(c38,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,c37) ),
inference(resolve,[status(thm)],[c_227,c_396]) ).
cnf(c_6244,negated_conjecture,
( ~ val(c38,new_york_0)
| ~ subs(B,stehen_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,c37) ),
inference(resolve,[status(thm)],[c_229,c_6243]) ).
cnf(c_429,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ flp(A,c37) ),
inference(resolve,[status(thm)],[c_230,c_6244]) ).
cnf(c_1667,plain,
( ~ subs(B,stehen_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c37) ),
inference(resolve,[status(thm)],[c_202,c_429]) ).
cnf(c_2124,plain,
loc(sK0(c29,c41),c41),
inference(resolve,[status(thm)],[c_205,c_222]) ).
cnf(c_2134,plain,
scar(sK0(c29,c41),c29),
inference(resolve,[status(thm)],[c_206,c_222]) ).
cnf(c_2159,plain,
subs(sK0(c29,c41),stehen_1_1),
inference(resolve,[status(thm)],[c_207,c_222]) ).
cnf(c_2471,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,B)
| ~ loc(A,c41) ),
inference(resolve,[status(thm)],[c_1667,c_231]) ).
cnf(c_6245,plain,
( ~ subs(sK0(c29,c41),stehen_1_1)
| ~ scar(sK0(c29,c41),A) ),
inference(resolve,[status(thm)],[c_2124,c_2471]) ).
cnf(c_6241,plain,
~ scar(sK0(c29,c41),A),
inference(resolve,[status(thm)],[c_2159,c_6245]) ).
cnf(c_6242,plain,
$false,
inference(resolve,[status(thm)],[c_6241,c_2134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+14 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.58 % Computer : n016.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.58 % CPULimit : 300
% 0.10/5.58 % WCLimit : 300
% 0.10/5.58 % DateTime : Sun Sep 27 01:06:52 UTC 2026
% 0.10/5.58 % CPUTime :
% 0.10/5.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.58 % Process 2097661 was started by sandbox2 on n016,
% 0.10/5.58 % Sun Sep 27 01:06:52 2026
% 0.10/5.58 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 11.69/7.35
% 11.69/7.35 % SInE (scan): 85 to sos (tol 1.5x), 19 to usable (tol 2.0x), 10084 zapped, of 10188 axioms (depth 3).
% 11.69/7.35
% 11.69/7.35 % From the command line: assign(max_seconds, 300).
% 11.69/7.35
% 11.69/7.35 % given #500 (T,wt=5): 480 has_refer_leq(amtszeit__1_1,refer_c). [ur(116,a,239,a)].
% 11.69/7.35
% 11.69/7.35 % given #1000 (F,wt=14): 5086 -scar(einweihung_1_1,A) | -subs(einweihung_1_1,stehen_1_1) | -chea(B,er__366ffnen_1_1) | -hsit(c29,B). [resolve(845,f,222,a),unit_del(a,1672)].
% 11.69/7.35
% 11.69/7.35 % SZS status Theorem for theBenchmark
% 11.69/7.35
% 11.69/7.35 % Proof 1 at 1.44 (+ 0.21) seconds.
% 11.69/7.35 % Length of proof is 22.
% 11.69/7.35 % Level of proof is 6.
% 11.69/7.35 % Maximum clause weight is 23.000.
% 11.69/7.35 % Given clauses 1311.
% 11.69/7.35
% 11.69/7.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------