%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+14 : 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 : n008.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 2.94s 1.06s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 267 ( 0 equ)
% Maximal formula atoms : 137 ( 7 avg)
% Number of connectives : 296 ( 64 ~; 53 |; 177 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 137 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-5 aty)
% Number of functors : 50 ( 50 usr; 45 con; 0-3 aty)
% Number of variables : 95 ( 13 sgn 39 !; 18 ?)
% 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_004_mira_wp_320,axiom,
( varia(farbe_1_1,varia_c)
& refer(farbe_1_1,refer_c)
& quant(farbe_1_1,one)
& gener(farbe_1_1,ge)
& fact(farbe_1_1,real)
& etype(farbe_1_1,int0)
& card(farbe_1_1,int1)
& sort(farbe_1_1,s)
& sort(farbe_1_1,na)
& sort(national__1_1,nq)
& varia(c685,varia_c)
& refer(c685,refer_c)
& quant(c685,quant_c)
& gener(c685,gener_c)
& fact(c685,real)
& etype(c685,etype_c)
& card(c685,card_c)
& sort(c685,ent)
& sort(italienisch__1_1,nq)
& varia(nationalfarbe_1_1,varia_c)
& refer(nationalfarbe_1_1,refer_c)
& quant(nationalfarbe_1_1,one)
& gener(nationalfarbe_1_1,ge)
& fact(nationalfarbe_1_1,real)
& etype(nationalfarbe_1_1,int0)
& card(nationalfarbe_1_1,int1)
& sort(nationalfarbe_1_1,s)
& sort(nationalfarbe_1_1,na)
& varia(c643,con)
& refer(c643,det)
& quant(c643,mult)
& gener(c643,sp)
& fact(c643,real)
& etype(c643,int1)
& card(c643,cons(x_constant,cons(int1,nil)))
& sort(c643,s)
& sort(c643,na)
& 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(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(c639,varia_c)
& refer(c639,indet)
& quant(c639,one)
& gener(c639,sp)
& fact(c639,real)
& etype(c639,int0)
& card(c639,int1)
& sort(c639,na)
& varia(c638,con)
& refer(c638,det)
& quant(c638,one)
& gener(c638,sp)
& fact(c638,real)
& etype(c638,int0)
& card(c638,int1)
& sort(c638,io)
& sort(c638,d)
& varia(kolosseum_1_1,con)
& refer(kolosseum_1_1,det)
& quant(kolosseum_1_1,one)
& gener(kolosseum_1_1,sp)
& fact(kolosseum_1_1,real)
& etype(kolosseum_1_1,int0)
& card(kolosseum_1_1,int1)
& sort(kolosseum_1_1,d)
& varia(c632,con)
& refer(c632,det)
& quant(c632,one)
& gener(c632,sp)
& fact(c632,real)
& etype(c632,int0)
& card(c632,int1)
& sort(c632,d)
& varia(zeich_nung_1_1,varia_c)
& refer(zeich_nung_1_1,refer_c)
& quant(zeich_nung_1_1,one)
& gener(zeich_nung_1_1,ge)
& fact(zeich_nung_1_1,real)
& etype(zeich_nung_1_1,int0)
& card(zeich_nung_1_1,int1)
& sort(zeich_nung_1_1,io)
& sort(zeich_nung_1_1,d)
& varia(c629,varia_c)
& refer(c629,indet)
& quant(c629,one)
& gener(c629,sp)
& fact(c629,real)
& etype(c629,int0)
& card(c629,int1)
& sort(c629,io)
& sort(c629,d)
& varia(logo_1_1,varia_c)
& refer(logo_1_1,refer_c)
& quant(logo_1_1,one)
& gener(logo_1_1,ge)
& fact(logo_1_1,real)
& etype(logo_1_1,int0)
& card(logo_1_1,int1)
& sort(logo_1_1,io)
& sort(logo_1_1,d)
& varia(c611,con)
& refer(c611,det)
& quant(c611,one)
& gener(c611,sp)
& fact(c611,real)
& etype(c611,int0)
& card(c611,int1)
& sort(c611,io)
& sort(c611,d)
& sub(nationalfarbe_1_1,farbe_1_1)
& assoc(nationalfarbe_1_1,national__1_1)
& tupl_p5(c685,c611,c629,c638,c643)
& prop(c643,italienisch__1_1)
& pred(c643,nationalfarbe_1_1)
& val(c639,rom_0)
& sub(c639,name_1_1)
& sub(c638,stadt__1_1)
& attr(c638,c639)
& sub(c632,kolosseum_1_1)
& attch(c632,c629)
& sub(c629,zeich_nung_1_1)
& sub(c611,logo_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_mira_wp_320) ).
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_320,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)
& loc(X4,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_004_mira_wp_320) ).
fof(synth_qa07_004_mira_wp_320_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)
& loc(X4,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_mira_wp_320]) ).
fof(nnf_52,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_52]) ).
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_84,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_108,plain,
state_adjective_state_binding(italienisch__1_1,italien_0),
inference(clausify,[status(thm)],[fact_8886]) ).
fof(nnf_37,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_37]) ).
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_177,plain,
( loc(sK1(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_178,plain,
( scar(sK1(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_179,plain,
( subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_189,plain,
attr(c638,c639),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_320]) ).
cnf(c_190,plain,
sub(c638,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_320]) ).
cnf(c_191,plain,
sub(c639,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_320]) ).
cnf(c_192,plain,
val(c639,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_320]) ).
cnf(c_194,plain,
prop(c643,italienisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_320]) ).
cnf(c_322,negated_conjecture,
( ~ val(B,rom_0)
| ~ subs(C,stehen_1_1)
| ~ sub(A,stadt__1_1)
| ~ sub(B,name_1_1)
| ~ scar(C,E)
| ~ loc(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_mira_wp_320_neg]) ).
cnf(c_3240,negated_conjecture,
( ~ val(c639,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c638,stadt__1_1)
| ~ sub(c639,name_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_189,c_322]) ).
cnf(c_3241,negated_conjecture,
( ~ val(c639,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c638,stadt__1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_191,c_3240]) ).
cnf(c_3242,negated_conjecture,
( ~ val(c639,rom_0)
| ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_190,c_3241]) ).
cnf(c_547,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_192,c_3242]) ).
cnf(c_3243,plain,
( loc(c643,sK0(c643,italienisch__1_1,A))
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_84,c_194]) ).
cnf(c_551,plain,
loc(c643,sK0(c643,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_3243,c_108]) ).
cnf(c_3162,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ scar(sK1(A,B),C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_177,c_547]) ).
cnf(c_3244,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_178,c_3162]) ).
cnf(c_3182,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(copy,[status(thm)],[c_3244]) ).
cnf(c_3245,plain,
( ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_179,c_3182]) ).
cnf(c_3238,plain,
~ loc(A,B),
inference(copy,[status(thm)],[c_3245]) ).
cnf(c_3239,plain,
$false,
inference(resolve,[status(thm)],[c_3238,c_551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+14 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 01:05:40 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38 % Process 725603 was started by sandbox2 on n008,
% 0.12/0.38 % Sun Sep 27 01:05:40 2026
% 0.12/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.94/1.06
% 2.94/1.06 % SInE (scan): 71 to sos (tol 1.5x), 18 to usable (tol 2.0x), 10099 zapped, of 10188 axioms (depth 3).
% 2.94/1.06
% 2.94/1.06 % From the command line: assign(max_seconds, 300).
% 2.94/1.06
% 2.94/1.06 % given #500 (F,wt=12): 2359 -chea(zeichnen_2_1,A) | -scar(A,B) | -subs(A,stehen_1_1) | -loc(zeichnen_1_1,C). [resolve(1564,d,104,a)].
% 2.94/1.06
% 2.94/1.06 % SZS status Theorem for theBenchmark
% 2.94/1.06
% 2.94/1.06 % Proof 1 at 0.48 (+ 0.09) seconds.
% 2.94/1.06 % Length of proof is 21.
% 2.94/1.06 % Level of proof is 6.
% 2.94/1.06 % Maximum clause weight is 21.000.
% 2.94/1.06 % Given clauses 639.
% 2.94/1.06
% 2.94/1.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------