%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR113+26 : 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 : n011.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 07:07:34 AM UTC 2026
% Result : Theorem 5.06s 1.13s
% Output : CNFRefutation 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 261 ( 0 equ)
% Maximal formula atoms : 194 ( 10 avg)
% Number of connectives : 270 ( 33 ~; 25 |; 211 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 194 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 54 ( 54 usr; 53 con; 0-2 aty)
% Number of variables : 49 ( 12 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_mw3_123,axiom,
( varia(symbol_1_1,varia_c)
& refer(symbol_1_1,refer_c)
& quant(symbol_1_1,one)
& gener(symbol_1_1,ge)
& fact(symbol_1_1,real)
& etype(symbol_1_1,int0)
& card(symbol_1_1,int1)
& sort(symbol_1_1,io)
& sort(national__1_1,nq)
& 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(prop_0,gener_c)
& fact(prop_0,real)
& sort(prop_0,st)
& gener(c9,sp)
& fact(c9,real)
& sort(c9,st)
& 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,con)
& refer(c35,det)
& quant(c35,one)
& gener(c35,sp)
& fact(c35,real)
& etype(c35,int0)
& card(c35,int1)
& sort(c35,l)
& sort(usa_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(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c33,varia_c)
& refer(c33,indet)
& quant(c33,one)
& gener(c33,sp)
& fact(c33,real)
& etype(c33,int0)
& card(c33,int1)
& sort(c33,na)
& varia(c32,con)
& refer(c32,det)
& quant(c32,one)
& gener(c32,sp)
& fact(c32,real)
& etype(c32,int0)
& card(c32,int1)
& sort(c32,io)
& sort(c32,d)
& varia(c28,varia_c)
& refer(c28,refer_c)
& quant(c28,quant_c)
& gener(c28,gener_c)
& fact(c28,real)
& etype(c28,int2)
& etype(c28,int1)
& card(c28,card_c)
& sort(c28,o)
& sort(wichtig_1_1,nq)
& varia(nationalsymbol_1_1,varia_c)
& refer(nationalsymbol_1_1,refer_c)
& quant(nationalsymbol_1_1,one)
& gener(nationalsymbol_1_1,ge)
& fact(nationalsymbol_1_1,real)
& etype(nationalsymbol_1_1,int0)
& card(nationalsymbol_1_1,int1)
& sort(nationalsymbol_1_1,io)
& sort(c27,tq)
& varia(c23,con)
& refer(c23,det)
& quant(c23,one)
& gener(c23,sp)
& fact(c23,real)
& etype(c23,int0)
& card(c23,int1)
& sort(c23,io)
& sort(sam_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c18,varia_c)
& refer(c18,indet)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,na)
& varia(c17,con)
& refer(c17,det)
& quant(c17,one)
& gener(c17,sp)
& fact(c17,real)
& etype(c17,int0)
& card(c17,int1)
& sort(c17,d)
& varia(uncle_1_1,varia_c)
& refer(uncle_1_1,refer_c)
& quant(uncle_1_1,one)
& gener(uncle_1_1,ge)
& fact(uncle_1_1,real)
& etype(uncle_1_1,int0)
& card(uncle_1_1,int1)
& sort(uncle_1_1,o)
& sort(aktuell_1_1,tq)
& varia(c11,varia_c)
& refer(c11,refer_c)
& quant(c11,one)
& gener(c11,gener_c)
& fact(c11,real)
& etype(c11,int0)
& card(c11,int1)
& sort(c11,o)
& sub(nationalsymbol_1_1,symbol_1_1)
& assoc(nationalsymbol_1_1,national__1_1)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& subr(c9,prop_0)
& loc(c9,c35)
& assoc(c9,c23)
& assoc(c9,c17)
& arg2(c9,aktuell_1_1)
& arg1(c9,c11)
& sub(c4,freiheitsstatue_1_1)
& neben(c35,c4)
& val(c33,usa_0)
& sub(c33,name_1_1)
& sub(c32,land_1_1)
& attr(c32,c33)
& attch(c32,c23)
& supl(c27,wichtig_1_1,c28)
& sub(c23,nationalsymbol_1_1)
& prop(c23,c27)
& val(c18,sam_0)
& sub(c18,familiename_1_1)
& sub(c17,mensch_1_1)
& attr(c17,c18)
& sub(c11,uncle_1_1)
& prop(c11,aktuell_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_003_mw3_123) ).
fof(synth_qa07_003_mw3_123,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,usa_0)
& subs(X3,stehen_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& attr(X2,X1) ),
file('theBenchmark.p',synth_qa07_003_mw3_123) ).
fof(synth_qa07_003_mw3_123_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,usa_0)
& subs(X3,stehen_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& attr(X2,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_003_mw3_123]) ).
fof(nnf_40,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_40]) ).
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_238,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_239,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_240,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_259,plain,
attr(c32,c33),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mw3_123]) ).
cnf(c_261,plain,
sub(c33,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mw3_123]) ).
cnf(c_262,plain,
val(c33,usa_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mw3_123]) ).
cnf(c_269,plain,
loc(c9,c35),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_003_mw3_123]) ).
cnf(c_441,negated_conjecture,
( ~ val(B,usa_0)
| ~ subs(C,stehen_1_1)
| ~ sub(B,name_1_1)
| ~ scar(C,E)
| ~ loc(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_003_mw3_123_neg]) ).
cnf(c_5366,negated_conjecture,
( ~ val(c33,usa_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c33,name_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_259,c_441]) ).
cnf(c_5367,negated_conjecture,
( ~ val(c33,usa_0)
| ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_261,c_5366]) ).
cnf(c_471,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_262,c_5367]) ).
cnf(c_2220,plain,
( ~ subs(sK0(A,B),stehen_1_1)
| ~ scar(sK0(A,B),C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_238,c_471]) ).
cnf(c_2365,plain,
scar(sK0(c9,c35),c9),
inference(resolve,[status(thm)],[c_239,c_269]) ).
cnf(c_2468,plain,
subs(sK0(c9,c35),stehen_1_1),
inference(resolve,[status(thm)],[c_240,c_269]) ).
cnf(c_5368,plain,
( ~ subs(sK0(c9,c35),stehen_1_1)
| ~ scar(sK0(c9,c35),A) ),
inference(resolve,[status(thm)],[c_2220,c_269]) ).
cnf(c_5364,plain,
~ scar(sK0(c9,c35),A),
inference(resolve,[status(thm)],[c_2468,c_5368]) ).
cnf(c_5365,plain,
$false,
inference(resolve,[status(thm)],[c_5364,c_2365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR113+26 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 01:03:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 1905691 was started by sandbox on n011,
% 0.10/0.36 % Sun Sep 27 01:03:29 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 5.06/1.13
% 5.06/1.13 % SInE (scan): 84 to sos (tol 1.5x), 26 to usable (tol 2.0x), 10078 zapped, of 10188 axioms (depth 3).
% 5.06/1.13
% 5.06/1.13 % From the command line: assign(max_seconds, 300).
% 5.06/1.13
% 5.06/1.13 % given #500 (T,wt=5): 559 has_fact_leq(c11,fact_c). [ur(163,a,276,a,b,164,a)].
% 5.06/1.13
% 5.06/1.13 % SZS status Theorem for theBenchmark
% 5.06/1.13
% 5.06/1.13 % Proof 1 at 0.54 (+ 0.11) seconds.
% 5.06/1.13 % Length of proof is 17.
% 5.06/1.13 % Level of proof is 5.
% 5.06/1.13 % Maximum clause weight is 20.000.
% 5.06/1.13 % Given clauses 827.
% 5.06/1.13
% 5.06/1.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------