%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+18 : 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 07:07:33 AM UTC 2026
% Result : Theorem 0.14s 5.50s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 123 ( 9 avg)
% Number of connectives : 184 ( 29 ~; 21 |; 134 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 123 ( 11 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 44 ( 44 usr; 44 con; 0-0 aty)
% Number of variables : 26 ( 6 sgn 0 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_003_mira_wp_222_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)
& gener(stehen_1_1,ge)
& fact(stehen_1_1,real)
& sort(stehen_1_1,st)
& varia(c53,con)
& refer(c53,det)
& quant(c53,one)
& gener(c53,sp)
& fact(c53,real)
& etype(c53,int0)
& card(c53,int1)
& sort(c53,l)
& gener(sehen_1_1,ge)
& fact(sehen_1_1,real)
& sort(sehen_1_1,dn)
& gener(c8,sp)
& fact(c8,real)
& sort(c8,st)
& varia(c50,varia_c)
& refer(c50,det)
& quant(c50,one)
& gener(c50,sp)
& fact(c50,real)
& etype(c50,int0)
& card(c50,int1)
& sort(c50,d)
& gener(c44,sp)
& fact(c44,real)
& sort(c44,dn)
& 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)
& varia(c4,con)
& refer(c4,det)
& quant(c4,one)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int0)
& card(c4,int1)
& sort(c4,d)
& varia(c35,varia_c)
& refer(c35,refer_c)
& quant(c35,quant_c)
& gener(c35,gener_c)
& fact(c35,real)
& etype(c35,int2)
& etype(c35,int1)
& card(c35,card_c)
& sort(c35,o)
& sort(bekannt_1_1,nq)
& sort(c34,tq)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& subs(c8,stehen_1_1)
& scar(c8,c4)
& loc(c8,c53)
& vor(c53,c41)
& subs(c44,sehen_1_1)
& semrel(c44,c8)
& mexp(c44,c50)
& val(c42,new_york_0)
& sub(c42,name_1_1)
& sub(c41,stadt__1_1)
& attr(c41,c42)
& sub(c4,freiheitsstatue_1_1)
& prop(c4,c34)
& supl(c34,bekannt_1_1,c35) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_222_a19713) ).
fof(synth_qa07_003_mira_wp_222_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)
& attr(X2,X1) ),
file('theBenchmark.p',synth_qa07_003_mira_wp_222_a19713) ).
fof(synth_qa07_003_mira_wp_222_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)
& attr(X2,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_222_a19713]) ).
cnf(c_214,plain,
sub(c4,freiheitsstatue_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_222_a19713]) ).
cnf(c_215,plain,
attr(c41,c42),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_222_a19713]) ).
cnf(c_217,plain,
sub(c42,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_222_a19713]) ).
cnf(c_218,plain,
val(c42,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_222_a19713]) ).
cnf(c_223,plain,
loc(c8,c53),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_222_a19713]) ).
cnf(c_224,plain,
scar(c8,c4),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_222_a19713]) ).
cnf(c_225,plain,
subs(c8,stehen_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_222_a19713]) ).
cnf(c_333,negated_conjecture,
( ~ val(B,new_york_0)
| ~ subs(C,stehen_1_1)
| ~ sub(E,freiheitsstatue_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_222_a19713_neg]) ).
cnf(c_406,negated_conjecture,
( ~ val(c42,new_york_0)
| ~ subs(A,stehen_1_1)
| ~ sub(C,freiheitsstatue_1_1)
| ~ sub(c42,name_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_215,c_333]) ).
cnf(c_407,negated_conjecture,
( ~ val(c42,new_york_0)
| ~ subs(A,stehen_1_1)
| ~ sub(C,freiheitsstatue_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_217,c_406]) ).
cnf(c_342,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ sub(C,freiheitsstatue_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_218,c_407]) ).
cnf(c_347,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c4)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_342,c_214]) ).
cnf(c_408,plain,
( ~ subs(c8,stehen_1_1)
| ~ scar(c8,c4) ),
inference(resolve,[status(thm)],[c_223,c_347]) ).
cnf(c_409,plain,
~ subs(c8,stehen_1_1),
inference(resolve,[status(thm)],[c_224,c_408]) ).
cnf(c_405,plain,
$false,
inference(resolve,[status(thm)],[c_225,c_409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR113+18 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 27 01:07:07 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.38 % Process 2098100 was started by sandbox2 on n016,
% 0.09/5.38 % Sun Sep 27 01:07:07 2026
% 0.09/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/5.50
% 0.14/5.50 % SInE (scan): 72 to sos (tol 1.5x), 22 to usable (tol 2.0x), 10094 zapped, of 10188 axioms (depth 3).
% 0.14/5.50
% 0.14/5.50 % From the command line: assign(max_seconds, 300).
% 0.14/5.50
% 0.14/5.50 % SZS status Theorem for theBenchmark
% 0.14/5.50
% 0.14/5.50 % Proof 1 at 0.03 (+ 0.02) seconds.
% 0.14/5.50 % Length of proof is 13.
% 0.14/5.50 % Level of proof is 4.
% 0.14/5.50 % Maximum clause weight is 23.000.
% 0.14/5.50 % Given clauses 56.
% 0.14/5.50
% 0.14/5.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------