%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+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 : n013.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 07:07:36 AM UTC 2026
% Result : Theorem 5.21s 1.22s
% Output : CNFRefutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 323 ( 0 equ)
% Maximal formula atoms : 173 ( 7 avg)
% Number of connectives : 357 ( 75 ~; 63 |; 216 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 173 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 55 con; 0-3 aty)
% Number of variables : 105 ( 15 sgn 42 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sub_sub__sub,axiom,
! [X0,X1,X2] :
( ( sub(X1,X2)
& sub(X0,X1) )
=> sub(X0,X2) ),
file('theBenchmark.p',sub_sub__sub) ).
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_004_mira_wp_359,axiom,
( varia(teil_1_1,varia_c)
& refer(teil_1_1,refer_c)
& quant(teil_1_1,quant_c)
& gener(teil_1_1,ge)
& fact(teil_1_1,real)
& etype(teil_1_1,etype_c)
& card(teil_1_1,card_c)
& sort(teil_1_1,co)
& 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)
& gener(sub_0,gener_c)
& fact(sub_0,real)
& sort(sub_0,st)
& varia(gemeinde_1_1,varia_c)
& refer(gemeinde_1_1,refer_c)
& quant(gemeinde_1_1,one)
& gener(gemeinde_1_1,ge)
& fact(gemeinde_1_1,real)
& etype(gemeinde_1_1,int0)
& card(gemeinde_1_1,int1)
& sort(gemeinde_1_1,io)
& sort(gemeinde_1_1,d)
& sort(eigenst__344ndig_1_1,nq)
& varia(seitdem_2_1,varia_c)
& refer(seitdem_2_1,refer_c)
& quant(seitdem_2_1,one)
& gener(seitdem_2_1,sp)
& fact(seitdem_2_1,real)
& etype(seitdem_2_1,int0)
& card(seitdem_2_1,int1)
& sort(seitdem_2_1,t)
& gener(sein_3_3,ge)
& fact(sein_3_3,real)
& sort(sein_3_3,st)
& gener(c7,sp)
& fact(c7,real)
& sort(c7,st)
& varia(c1351,varia_c)
& refer(c1351,indet)
& quant(c1351,one)
& gener(c1351,sp)
& fact(c1351,real)
& etype(c1351,int0)
& card(c1351,int1)
& sort(c1351,io)
& sort(c1351,d)
& gener(c1285,sp)
& fact(c1285,real)
& sort(c1285,st)
& sort(rom_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(hauptsstadt_1_1,varia_c)
& refer(hauptsstadt_1_1,refer_c)
& quant(hauptsstadt_1_1,one)
& gener(hauptsstadt_1_1,ge)
& fact(hauptsstadt_1_1,real)
& etype(hauptsstadt_1_1,int0)
& card(hauptsstadt_1_1,int1)
& sort(hauptsstadt_1_1,io)
& sort(hauptsstadt_1_1,d)
& sort(italienisch__1_1,nq)
& varia(c1282,varia_c)
& refer(c1282,indet)
& quant(c1282,one)
& gener(c1282,sp)
& fact(c1282,real)
& etype(c1282,int0)
& card(c1282,int1)
& sort(c1282,na)
& varia(c1281,con)
& refer(c1281,det)
& quant(c1281,one)
& gener(c1281,sp)
& fact(c1281,real)
& etype(c1281,int0)
& card(c1281,int1)
& sort(c1281,io)
& sort(c1281,d)
& varia(stadtteil_1_1,varia_c)
& refer(stadtteil_1_1,refer_c)
& quant(stadtteil_1_1,one)
& gener(stadtteil_1_1,ge)
& fact(stadtteil_1_1,real)
& etype(stadtteil_1_1,int0)
& card(stadtteil_1_1,int1)
& sort(stadtteil_1_1,io)
& sort(stadtteil_1_1,d)
& varia(fiumicino_1_1,varia_c)
& refer(fiumicino_1_1,refer_c)
& quant(fiumicino_1_1,one)
& gener(fiumicino_1_1,ge)
& fact(fiumicino_1_1,real)
& etype(fiumicino_1_1,int0)
& card(fiumicino_1_1,int1)
& sort(fiumicino_1_1,o)
& varia(c1134,varia_c)
& refer(c1134,refer_c)
& quant(c1134,one)
& gener(c1134,gener_c)
& fact(c1134,real)
& etype(c1134,int0)
& card(c1134,int1)
& sort(c1134,o)
& card(c4,int1992)
& sort(c4,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(c1133,varia_c)
& refer(c1133,refer_c)
& quant(c1133,quant_c)
& gener(c1133,sp)
& fact(c1133,real)
& etype(c1133,etype_c)
& card(c1133,card_c)
& sort(c1133,ta)
& sort(c1133,oa)
& sort(c1133,me)
& varia(c1132,con)
& refer(c1132,det)
& quant(c1132,one)
& gener(c1132,sp)
& fact(c1132,real)
& etype(c1132,int0)
& card(c1132,int1)
& sort(c1132,t)
& sub(stadtteil_1_1,teil_1_1)
& assoc(stadtteil_1_1,stadt__1_1)
& sub(hauptsstadt_1_1,stadt__1_1)
& subr(c7,sub_0)
& fin(c7,c1132)
& arg2(c7,c1134)
& arg1(c7,c1134)
& sub(c1351,gemeinde_1_1)
& prop(c1351,eigenst__344ndig_1_1)
& temp(c1285,seitdem_2_1)
& subs(c1285,sein_3_3)
& semrel(c1285,c7)
& arg2(c1285,c1351)
& arg1(c1285,c1134)
& val(c1282,rom_0)
& sub(c1282,name_1_1)
& sub(c1281,hauptsstadt_1_1)
& prop(c1281,italienisch__1_1)
& attr(c1281,c1282)
& attch(c1281,c1134)
& sub(c1134,stadtteil_1_1)
& sub(c1134,fiumicino_1_1)
& sub(c1134,c1134)
& val(c1133,c4)
& sub(c1133,jahr__1_1)
& attr(c1132,c1133) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_mira_wp_359) ).
fof(state_adjective__in_state,axiom,
! [X0,X1,X2] :
( ( state_adjective_state_binding(X1,X2)
& prop(X0,X1) )
=> ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ),
file('theBenchmark.p',state_adjective__in_state) ).
fof(synth_qa07_004_mira_wp_359,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& prop(X0,italienisch__1_1)
& loc(X4,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_004_mira_wp_359) ).
fof(synth_qa07_004_mira_wp_359_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& prop(X0,italienisch__1_1)
& loc(X4,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_mira_wp_359]) ).
fof(nnf_61,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(fof_nnf,[status(thm)],[state_adjective__in_state]) ).
fof(sk_state_adjective__in_state_sk,plain,
! [X0,X1,X2] :
( ( val(sK3(X0,X1,X2),X2)
& sub(sK3(X0,X1,X2),name_1_1)
& sub(sK2(X0,X1,X2),land_1_1)
& loc(X0,sK0(X0,X1,X2))
& attr(sK2(X0,X1,X2),sK3(X0,X1,X2))
& in(sK0(X0,X1,X2),sK2(X0,X1,X2)) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2)),skolemize(X5,sK0(X0,X1,X2))],[nnf_61]) ).
fof(sk_state_adjective__in_state,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( val(sK3(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK3(VAR_0,VAR_1,VAR_2),name_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK2(VAR_0,VAR_1,VAR_2),land_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( loc(VAR_0,sK0(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( attr(sK2(VAR_0,VAR_1,VAR_2),sK3(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( in(sK0(VAR_0,VAR_1,VAR_2),sK2(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_state_adjective__in_state_sk]) ).
cnf(c_107,plain,
( loc(A,sK0(A,B,C))
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
fof(fact_8886,axiom,
state_adjective_state_binding(italienisch__1_1,italien_0),
file('theBenchmark.p',fact_8886) ).
cnf(c_134,plain,
state_adjective_state_binding(italienisch__1_1,italien_0),
inference(clausify,[status(thm)],[fact_8886]) ).
cnf(c_177,plain,
( sub(A,C)
| ~ sub(B,C)
| ~ sub(A,B) ),
inference(clausify,[status(thm)],[sub_sub__sub]) ).
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(sK1(X0,X1),stehen_1_1)
& scar(sK1(X0,X1),X0)
& loc(sK1(X0,X1),X1) )
| ~ loc(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[nnf_44]) ).
fof(sk_loc__stehen_1_1_loc,plain,
( ! [VAR_0,VAR_1] :
( subs(sK1(VAR_0,VAR_1),stehen_1_1)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( scar(sK1(VAR_0,VAR_1),VAR_0)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( loc(sK1(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_240,plain,
( loc(sK1(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_241,plain,
( scar(sK1(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_242,plain,
( subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_258,plain,
attr(c1281,c1282),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_359]) ).
cnf(c_259,plain,
prop(c1281,italienisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_359]) ).
cnf(c_260,plain,
sub(c1281,hauptsstadt_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_359]) ).
cnf(c_261,plain,
sub(c1282,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_359]) ).
cnf(c_262,plain,
val(c1282,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_359]) ).
cnf(c_274,plain,
sub(hauptsstadt_1_1,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_359]) ).
cnf(c_424,negated_conjecture,
( ~ val(B,rom_0)
| ~ subs(C,stehen_1_1)
| ~ sub(A,stadt__1_1)
| ~ sub(B,name_1_1)
| ~ scar(C,E)
| ~ prop(A,italienisch__1_1)
| ~ loc(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_mira_wp_359_neg]) ).
cnf(c_5583,negated_conjecture,
( ~ val(c1282,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c1281,stadt__1_1)
| ~ sub(c1282,name_1_1)
| ~ scar(A,C)
| ~ prop(c1281,italienisch__1_1)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_258,c_424]) ).
cnf(c_5584,negated_conjecture,
( ~ val(c1282,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c1281,stadt__1_1)
| ~ sub(c1282,name_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_259,c_5583]) ).
cnf(c_5585,negated_conjecture,
( ~ val(c1282,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c1281,stadt__1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_261,c_5584]) ).
cnf(c_823,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ sub(c1281,stadt__1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_262,c_5585]) ).
cnf(c_5586,plain,
( loc(c1281,sK0(c1281,italienisch__1_1,A))
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_107,c_259]) ).
cnf(c_844,plain,
loc(c1281,sK0(c1281,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_5586,c_134]) ).
cnf(c_5587,plain,
( sub(c1281,A)
| ~ sub(hauptsstadt_1_1,A) ),
inference(resolve,[status(thm)],[c_177,c_260]) ).
cnf(c_1629,plain,
sub(c1281,stadt__1_1),
inference(resolve,[status(thm)],[c_5587,c_274]) ).
cnf(c_1724,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_1629,c_823]) ).
cnf(c_5465,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ scar(sK1(A,B),C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_240,c_1724]) ).
cnf(c_5588,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_241,c_5465]) ).
cnf(c_5512,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(copy,[status(thm)],[c_5588]) ).
cnf(c_5589,plain,
( ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_242,c_5512]) ).
cnf(c_5581,plain,
~ loc(A,B),
inference(copy,[status(thm)],[c_5589]) ).
cnf(c_5582,plain,
$false,
inference(resolve,[status(thm)],[c_5581,c_844]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+15 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 01:04:21 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 3916755 was started by sandbox on n013,
% 0.09/0.37 % Sun Sep 27 01:04:21 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 5.21/1.22
% 5.21/1.22 % SInE (scan): 87 to sos (tol 1.5x), 23 to usable (tol 2.0x), 10078 zapped, of 10188 axioms (depth 3).
% 5.21/1.22
% 5.21/1.22 % From the command line: assign(max_seconds, 300).
% 5.21/1.22
% 5.21/1.22 % given #500 (F,wt=15): 2120 -chea(A,B) | -loc(A,C) | -subs(B,D) | -subs(D,stehen_1_1) | -scar(B,E). [resolve(186,c,1759,c)].
% 5.21/1.22
% 5.21/1.22 % SZS status Theorem for theBenchmark
% 5.21/1.22
% 5.21/1.22 % Proof 1 at 0.66 (+ 0.08) seconds.
% 5.21/1.22 % Length of proof is 26.
% 5.21/1.22 % Level of proof is 7.
% 5.21/1.22 % Maximum clause weight is 24.000.
% 5.21/1.22 % Given clauses 947.
% 5.21/1.22
% 5.21/1.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------