%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+15 : 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 : n007.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 9.99s 3.07s
% Output : CNFRefutation 9.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 227 ( 0 equ)
% Maximal formula atoms : 152 ( 8 avg)
% Number of connectives : 235 ( 35 ~; 29 |; 169 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 152 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 41 con; 0-2 aty)
% Number of variables : 55 ( 11 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_203_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(kommen_1_1,ge)
& fact(kommen_1_1,real)
& sort(kommen_1_1,da)
& gener(nicht_1_1,gener_c)
& fact(nicht_1_1,real)
& sort(nicht_1_1,md)
& varia(c55,varia_c)
& refer(c55,det)
& quant(c55,one)
& gener(c55,sp)
& fact(c55,real)
& etype(c55,int0)
& card(c55,int1)
& sort(c55,d)
& gener(c75,sp)
& fact(c75,real)
& sort(c75,da)
& gener(errichten_1_1,ge)
& fact(errichten_1_1,real)
& sort(errichten_1_1,da)
& varia(c79,con)
& refer(c79,det)
& quant(c79,one)
& gener(c79,sp)
& fact(c79,real)
& etype(c79,int0)
& card(c79,int1)
& sort(c79,l)
& 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(c32,varia_c)
& refer(c32,indet)
& quant(c32,one)
& gener(c32,sp)
& fact(c32,real)
& etype(c32,int0)
& card(c32,int1)
& sort(c32,d)
& 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(c31,varia_c)
& refer(c31,indet)
& quant(c31,one)
& gener(c31,sp)
& fact(c31,real)
& etype(c31,int0)
& card(c31,int1)
& sort(c31,na)
& varia(c30,con)
& refer(c30,det)
& quant(c30,one)
& gener(c30,sp)
& fact(c30,real)
& etype(c30,int0)
& card(c30,int1)
& sort(c30,io)
& sort(c30,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(c23,con)
& refer(c23,det)
& quant(c23,one)
& gener(c23,sp)
& fact(c23,real)
& etype(c23,int0)
& card(c23,int1)
& sort(c23,d)
& varia(gedanke_1_1,varia_c)
& refer(gedanke_1_1,refer_c)
& quant(gedanke_1_1,one)
& gener(gedanke_1_1,ge)
& fact(gedanke_1_1,real)
& etype(gedanke_1_1,int0)
& card(gedanke_1_1,int1)
& sort(gedanke_1_1,io)
& sort(gedanke_1_1,as)
& gener(c43,sp)
& fact(c43,real)
& sort(c43,da)
& varia(c17,con)
& refer(c17,det)
& quant(c17,one)
& gener(c17,sp)
& fact(c17,real)
& etype(c17,int0)
& card(c17,int1)
& sort(c17,io)
& sort(c17,as)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& in(c79,c23)
& subs(c75,kommen_1_1)
& semrel(c75,c43)
& modl(c75,nicht_1_1)
& agt(c75,c55)
& subs(c43,errichten_1_1)
& rslt(c43,c32)
& loc(c43,c79)
& sub(c32,freiheitsstatue_1_1)
& val(c31,new_york_0)
& sub(c31,name_1_1)
& sub(c30,stadt__1_1)
& attr(c30,c31)
& attch(c30,c23)
& sub(c23,bootshafen_1_1)
& sub(c17,gedanke_1_1)
& caus(c17,c43) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_203_a19713) ).
fof(synth_qa07_003_mira_wp_203_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)
& flp(X0,X2) ),
file('theBenchmark.p',synth_qa07_003_mira_wp_203_a19713) ).
fof(synth_qa07_003_mira_wp_203_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)
& flp(X0,X2) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_203_a19713]) ).
cnf(c_233,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_236,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_237,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_238,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_248,plain,
sub(c31,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_203_a19713]) ).
cnf(c_249,plain,
val(c31,new_york_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_203_a19713]) ).
cnf(c_251,plain,
loc(c43,c79),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_203_a19713]) ).
cnf(c_258,plain,
in(c79,c23),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_203_a19713]) ).
cnf(c_392,negated_conjecture,
( ~ val(E,new_york_0)
| ~ subs(C,stehen_1_1)
| ~ sub(E,name_1_1)
| ~ scar(C,D)
| ~ loc(C,A)
| ~ flp(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_mira_wp_203_a19713_neg]) ).
cnf(c_5516,negated_conjecture,
( ~ val(c31,new_york_0)
| ~ subs(C,stehen_1_1)
| ~ scar(C,D)
| ~ loc(C,A)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_248,c_392]) ).
cnf(c_394,negated_conjecture,
( ~ subs(C,stehen_1_1)
| ~ scar(C,D)
| ~ loc(C,A)
| ~ flp(A,B) ),
inference(resolve,[status(thm)],[c_249,c_5516]) ).
cnf(c_1880,plain,
( ~ subs(C,stehen_1_1)
| ~ scar(C,D)
| ~ loc(C,A)
| ~ in(A,B) ),
inference(resolve,[status(thm)],[c_233,c_394]) ).
cnf(c_2172,plain,
loc(sK0(c43,c79),c79),
inference(resolve,[status(thm)],[c_236,c_251]) ).
cnf(c_2214,plain,
scar(sK0(c43,c79),c43),
inference(resolve,[status(thm)],[c_237,c_251]) ).
cnf(c_2273,plain,
subs(sK0(c43,c79),stehen_1_1),
inference(resolve,[status(thm)],[c_238,c_251]) ).
cnf(c_2792,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,B)
| ~ loc(A,c79) ),
inference(resolve,[status(thm)],[c_1880,c_258]) ).
cnf(c_5517,plain,
( ~ subs(sK0(c43,c79),stehen_1_1)
| ~ scar(sK0(c43,c79),A) ),
inference(resolve,[status(thm)],[c_2172,c_2792]) ).
cnf(c_5514,plain,
~ scar(sK0(c43,c79),A),
inference(resolve,[status(thm)],[c_2273,c_5517]) ).
cnf(c_5515,plain,
$false,
inference(resolve,[status(thm)],[c_5514,c_2214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+15 : 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 : n007.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 01:00:10 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 882228 was started by sandbox on n007,
% 0.09/0.37 % Sun Sep 27 01:00:10 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 9.99/3.07
% 9.99/3.07 % SInE (scan): 74 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10086 zapped, of 10188 axioms (depth 3).
% 9.99/3.07
% 9.99/3.07 % From the command line: assign(max_seconds, 300).
% 9.99/3.07
% 9.99/3.07 % given #500 (A,wt=30): 481 -subs(f23(c30,A,c23,B),C) | -subs(C,stehen_1_1) | -flp(D,E) | -loc(f23(c30,A,c23,B),D) | -subs(c30,A) | -scarrel(B,A). [resolve(178,c,437,c)].
% 9.99/3.07
% 9.99/3.07 % given #1000 (F,wt=17): 1830 -in(A,B) | -chea(c75,C) | -loc(C,A) | -subs(kommen_1_1,stehen_1_1) | -scar(c75,D). [resolve(233,b,675,d)].
% 9.99/3.07
% 9.99/3.07 % SZS status Theorem for theBenchmark
% 9.99/3.07
% 9.99/3.07 % Proof 1 at 1.07 (+ 0.20) seconds.
% 9.99/3.07 % Length of proof is 21.
% 9.99/3.07 % Level of proof is 6.
% 9.99/3.07 % Maximum clause weight is 20.000.
% 9.99/3.07 % Given clauses 1090.
% 9.99/3.07
% 9.99/3.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------