%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+19 : 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 : n014.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 2.49s 0.83s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 288 ( 0 equ)
% Maximal formula atoms : 224 ( 12 avg)
% Number of connectives : 297 ( 32 ~; 23 |; 241 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 224 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 58 con; 0-2 aty)
% Number of variables : 47 ( 8 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_226_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)
& 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)
& gener(auftauchen_1_1,ge)
& fact(auftauchen_1_1,real)
& sort(auftauchen_1_1,dn)
& varia(c1979,varia_c)
& refer(c1979,det)
& quant(c1979,one)
& gener(c1979,sp)
& fact(c1979,real)
& etype(c1979,int0)
& card(c1979,int1)
& sort(c1979,o)
& gener(c2015,sp)
& fact(c2015,real)
& sort(c2015,dn)
& 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(naehe_1_1,varia_c)
& refer(naehe_1_1,refer_c)
& quant(naehe_1_1,one)
& gener(naehe_1_1,ge)
& fact(naehe_1_1,real)
& etype(naehe_1_1,int0)
& card(naehe_1_1,int1)
& sort(naehe_1_1,io)
& sort(naehe_1_1,d)
& varia(c2008,con)
& refer(c2008,det)
& quant(c2008,one)
& gener(c2008,sp)
& fact(c2008,real)
& etype(c2008,int0)
& card(c2008,int1)
& sort(c2008,d)
& varia(c2004,con)
& refer(c2004,det)
& quant(c2004,one)
& gener(c2004,sp)
& fact(c2004,real)
& etype(c2004,int0)
& card(c2004,int1)
& sort(c2004,io)
& sort(c2004,d)
& varia(frau_1_1,varia_c)
& refer(frau_1_1,refer_c)
& quant(frau_1_1,one)
& gener(frau_1_1,ge)
& fact(frau_1_1,real)
& etype(frau_1_1,int0)
& card(frau_1_1,int1)
& sort(frau_1_1,d)
& sort(bloss_1_1,tq)
& varia(c2018,con)
& refer(c2018,det)
& quant(c2018,one)
& gener(c2018,sp)
& fact(c2018,real)
& etype(c2018,int0)
& card(c2018,int1)
& sort(c2018,l)
& varia(c1999,varia_c)
& refer(c1999,indet)
& quant(c1999,one)
& gener(c1999,sp)
& fact(c1999,real)
& etype(c1999,int0)
& card(c1999,int1)
& sort(c1999,d)
& varia(gestalt_1_1,varia_c)
& refer(gestalt_1_1,refer_c)
& quant(gestalt_1_1,one)
& gener(gestalt_1_1,ge)
& fact(gestalt_1_1,real)
& etype(gestalt_1_1,int0)
& card(gestalt_1_1,int1)
& sort(gestalt_1_1,na)
& varia(c1994,con)
& refer(c1994,det)
& quant(c1994,one)
& gener(c1994,sp)
& fact(c1994,real)
& etype(c1994,int0)
& card(c1994,int1)
& sort(c1994,na)
& sort(new_york_0,fe)
& varia(c1977,varia_c)
& refer(c1977,indet)
& quant(c1977,one)
& gener(c1977,sp)
& fact(c1977,real)
& etype(c1977,int0)
& card(c1977,int1)
& sort(c1977,na)
& varia(c1976,con)
& refer(c1976,det)
& quant(c1976,one)
& gener(c1976,sp)
& fact(c1976,real)
& etype(c1976,int0)
& card(c1976,int1)
& sort(c1976,io)
& sort(c1976,d)
& sort(madison_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(c1972,varia_c)
& refer(c1972,indet)
& quant(c1972,one)
& gener(c1972,sp)
& fact(c1972,real)
& etype(c1972,int0)
& card(c1972,int1)
& sort(c1972,na)
& varia(c3,varia_c)
& refer(c3,indet)
& quant(c3,quant_c)
& gener(c3,sp)
& fact(c3,real)
& etype(c3,etype_c)
& card(c3,card_c)
& sort(c3,ta)
& sort(c3,oa)
& sort(c3,me)
& gener(kommen_1_1,ge)
& fact(kommen_1_1,real)
& sort(kommen_1_1,da)
& sort(spaet_1_1,mq)
& varia(c2020,con)
& refer(c2020,det)
& quant(c2020,one)
& gener(c2020,sp)
& fact(c2020,real)
& etype(c2020,int0)
& card(c2020,int1)
& sort(c2020,l)
& varia(c1971,con)
& refer(c1971,det)
& quant(c1971,one)
& gener(c1971,sp)
& fact(c1971,real)
& etype(c1971,int0)
& card(c1971,int1)
& sort(c1971,io)
& sort(c1971,d)
& gener(c1953,sp)
& fact(c1953,real)
& sort(c1953,da)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& pred(c3,jahr__1_1)
& flp(c2020,c1976)
& in(c2018,c2004)
& subs(c2015,auftauchen_1_1)
& semrel(c2015,c1953)
& exp(c2015,c1979)
& assoc(c2015,c1994)
& sub(c2008,freiheitsstatue_1_1)
& sub(c2004,naehe_1_1)
& attch(c2004,c2008)
& sub(c1999,frau_1_1)
& prop(c1999,bloss_1_1)
& loc(c1999,c2018)
& attr(c1999,c1994)
& sub(c1994,gestalt_1_1)
& val(c1977,new_york_0)
& sub(c1977,name_1_1)
& sub(c1976,stadt__1_1)
& attr(c1976,c1977)
& val(c1972,madison_0)
& sub(c1972,name_1_1)
& sub(c1971,stadt__1_1)
& attr(c1971,c1972)
& temp(c1953,c3)
& subs(c1953,kommen_1_1)
& mannr(c1953,spaet_1_1)
& dircl(c1953,c2020)
& agt(c1953,c1971) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_226_a19713) ).
fof(synth_qa07_003_mira_wp_226_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)
& attr(X2,X1)
& flp(X0,X2) ),
file('theBenchmark.p',synth_qa07_003_mira_wp_226_a19713) ).
fof(synth_qa07_003_mira_wp_226_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)
& attr(X2,X1)
& flp(X0,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_226_a19713]) ).
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_212,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_213,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_230,plain,
attr(c1976,c1977),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_226_a19713]) ).
cnf(c_232,plain,
sub(c1977,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_226_a19713]) ).
cnf(c_233,plain,
val(c1977,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_226_a19713]) ).
cnf(c_236,plain,
loc(c1999,c2018),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_226_a19713]) ).
cnf(c_247,plain,
flp(c2020,c1976),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_226_a19713]) ).
cnf(c_443,negated_conjecture,
( ~ val(C,new_york_0)
| ~ subs(D,stehen_1_1)
| ~ sub(C,name_1_1)
| ~ scar(D,E)
| ~ attr(B,C)
| ~ flp(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_mira_wp_226_a19713_neg]) ).
cnf(c_1797,negated_conjecture,
( ~ val(c1977,new_york_0)
| ~ subs(C,stehen_1_1)
| ~ scar(C,D)
| ~ attr(B,c1977)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_232,c_443]) ).
cnf(c_504,negated_conjecture,
( ~ subs(C,stehen_1_1)
| ~ scar(C,D)
| ~ attr(B,c1977)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_233,c_1797]) ).
cnf(c_1798,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,B)
| ~ attr(c1976,c1977) ),
inference(resolve,[status(thm)],[c_247,c_504]) ).
cnf(c_573,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,B) ),
inference(resolve,[status(thm)],[c_230,c_1798]) ).
cnf(c_1760,plain,
( ~ subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_212,c_573]) ).
cnf(c_1768,plain,
~ subs(sK0(c1999,c2018),stehen_1_1),
inference(resolve,[status(thm)],[c_1760,c_236]) ).
cnf(c_1799,plain,
~ loc(c1999,c2018),
inference(resolve,[status(thm)],[c_213,c_1768]) ).
cnf(c_1796,plain,
$false,
inference(resolve,[status(thm)],[c_236,c_1799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+19 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 01:02:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 277473 was started by sandbox2 on n014,
% 0.10/0.38 % Sun Sep 27 01:02:31 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.49/0.83
% 2.49/0.83 % SInE (scan): 87 to sos (tol 1.5x), 18 to usable (tol 2.0x), 10083 zapped, of 10188 axioms (depth 3).
% 2.49/0.83
% 2.49/0.83 % From the command line: assign(max_seconds, 300).
% 2.49/0.83
% 2.49/0.83 % SZS status Theorem for theBenchmark
% 2.49/0.83
% 2.49/0.83 % Proof 1 at 0.22 (+ 0.08) seconds.
% 2.49/0.83 % Length of proof is 16.
% 2.49/0.83 % Level of proof is 6.
% 2.49/0.83 % Maximum clause weight is 20.000.
% 2.49/0.83 % Given clauses 407.
% 2.49/0.83
% 2.49/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------