%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+17 : 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 : 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 07:07:36 AM UTC 2026
% Result : Theorem 3.77s 1.00s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 306 ( 0 equ)
% Maximal formula atoms : 166 ( 8 avg)
% Number of connectives : 342 ( 72 ~; 60 |; 208 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 166 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-8 aty)
% Number of functors : 59 ( 59 usr; 55 con; 0-3 aty)
% Number of variables : 98 ( 15 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_mw3_166,axiom,
( varia(anschauung_1_1,varia_c)
& refer(anschauung_1_1,refer_c)
& quant(anschauung_1_1,one)
& gener(anschauung_1_1,ge)
& fact(anschauung_1_1,real)
& etype(anschauung_1_1,int0)
& card(anschauung_1_1,int1)
& sort(anschauung_1_1,io)
& varia(phantasie_1_1,varia_c)
& refer(phantasie_1_1,refer_c)
& quant(phantasie_1_1,one)
& gener(phantasie_1_1,ge)
& fact(phantasie_1_1,real)
& etype(phantasie_1_1,int0)
& card(phantasie_1_1,int1)
& sort(phantasie_1_1,io)
& gener(cm_1_1,ge)
& sort(cm_1_1,me)
& card(c89,int4489)
& sort(c89,nu)
& varia(leinwand_1_1,varia_c)
& refer(leinwand_1_1,refer_c)
& quant(leinwand_1_1,one)
& gener(leinwand_1_1,ge)
& fact(leinwand_1_1,real)
& etype(leinwand_1_1,int0)
& card(leinwand_1_1,int1)
& sort(leinwand_1_1,d)
& card(c79,int1664)
& sort(c79,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(c82,varia_c)
& refer(c82,refer_c)
& quant(c82,quant_c)
& gener(c82,sp)
& fact(c82,real)
& etype(c82,etype_c)
& card(c82,card_c)
& sort(c82,ta)
& sort(c82,oa)
& sort(c82,me)
& 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(phantasieansicht_1_1,varia_c)
& refer(phantasieansicht_1_1,refer_c)
& quant(phantasieansicht_1_1,one)
& gener(phantasieansicht_1_1,ge)
& fact(phantasieansicht_1_1,real)
& etype(phantasieansicht_1_1,int0)
& card(phantasieansicht_1_1,int1)
& sort(phantasieansicht_1_1,io)
& 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)
& sort(italienisch__1_1,nq)
& varia(c78,varia_c)
& refer(c78,indet)
& quant(c78,one)
& gener(c78,sp)
& fact(c78,real)
& etype(c78,int0)
& card(c78,int1)
& sort(c78,na)
& varia(palazzo_1_1,varia_c)
& refer(palazzo_1_1,refer_c)
& quant(palazzo_1_1,one)
& gener(palazzo_1_1,ge)
& fact(palazzo_1_1,real)
& etype(palazzo_1_1,int0)
& card(palazzo_1_1,int1)
& sort(palazzo_1_1,d)
& varia(c93,con)
& refer(c93,refer_c)
& quant(c93,quant_c)
& gener(c93,gener_c)
& fact(c93,real)
& etype(c93,etype_c)
& card(c93,card_c)
& sort(c93,m)
& sort(c93,co)
& varia(c85,varia_c)
& refer(c85,refer_c)
& quant(c85,one)
& gener(c85,gener_c)
& fact(c85,real)
& etype(c85,int0)
& card(c85,int1)
& sort(c85,d)
& varia(c81,con)
& refer(c81,det)
& quant(c81,one)
& gener(c81,sp)
& fact(c81,real)
& etype(c81,int0)
& card(c81,int1)
& sort(c81,t)
& varia(c71,varia_c)
& refer(c71,refer_c)
& quant(c71,one)
& gener(c71,gener_c)
& fact(c71,real)
& etype(c71,int0)
& card(c71,int1)
& sort(c71,io)
& varia(c67,varia_c)
& refer(c67,indet)
& quant(c67,one)
& gener(c67,sp)
& fact(c67,real)
& etype(c67,int0)
& card(c67,int1)
& sort(c67,io)
& sort(c67,d)
& varia(c61,varia_c)
& refer(c61,refer_c)
& quant(c61,one)
& gener(c61,gener_c)
& fact(c61,real)
& etype(c61,int0)
& card(c61,int1)
& sort(c61,d)
& varia(c246,varia_c)
& refer(c246,refer_c)
& quant(c246,quant_c)
& gener(c246,gener_c)
& fact(c246,real)
& etype(c246,etype_c)
& card(c246,card_c)
& sort(c246,ent)
& sub(phantasieansicht_1_1,anschauung_1_1)
& assoc(phantasieansicht_1_1,phantasie_1_1)
& quant_p3(c93,c89,cm_1_1)
& sub(c85,leinwand_1_1)
& val(c82,c79)
& sub(c82,jahr__1_1)
& attr(c81,c82)
& val(c78,rom_0)
& sub(c78,name_1_1)
& sub(c71,phantasieansicht_1_1)
& sub(c67,stadt__1_1)
& prop(c67,italienisch__1_1)
& attr(c67,c78)
& sub(c61,palazzo_1_1)
& tupl_p8(c246,c61,c67,c71,c67,c81,c85,c93) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_mw3_166) ).
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_mw3_166,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_mw3_166) ).
fof(synth_qa07_004_mw3_166_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_mw3_166]) ).
fof(nnf_50,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_50]) ).
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_31,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_31]) ).
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_178,plain,
( loc(sK1(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_179,plain,
( scar(sK1(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_180,plain,
( subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_188,plain,
attr(c67,c78),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mw3_166]) ).
cnf(c_189,plain,
prop(c67,italienisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mw3_166]) ).
cnf(c_190,plain,
sub(c67,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mw3_166]) ).
cnf(c_192,plain,
sub(c78,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mw3_166]) ).
cnf(c_193,plain,
val(c78,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mw3_166]) ).
cnf(c_352,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_mw3_166_neg]) ).
cnf(c_1713,negated_conjecture,
( ~ val(c78,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c67,stadt__1_1)
| ~ sub(c78,name_1_1)
| ~ scar(A,C)
| ~ prop(c67,italienisch__1_1)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_188,c_352]) ).
cnf(c_1714,negated_conjecture,
( ~ val(c78,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c67,stadt__1_1)
| ~ sub(c78,name_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_189,c_1713]) ).
cnf(c_1715,negated_conjecture,
( ~ val(c78,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c67,stadt__1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_192,c_1714]) ).
cnf(c_1716,negated_conjecture,
( ~ val(c78,rom_0)
| ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_190,c_1715]) ).
cnf(c_357,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_193,c_1716]) ).
cnf(c_1717,plain,
( loc(c67,sK0(c67,italienisch__1_1,A))
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_84,c_189]) ).
cnf(c_361,plain,
loc(c67,sK0(c67,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_1717,c_108]) ).
cnf(c_1531,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ scar(sK1(A,B),C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_178,c_357]) ).
cnf(c_1718,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_179,c_1531]) ).
cnf(c_1602,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(copy,[status(thm)],[c_1718]) ).
cnf(c_1719,plain,
( ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_1602,c_180]) ).
cnf(c_1711,plain,
~ loc(A,B),
inference(copy,[status(thm)],[c_1719]) ).
cnf(c_1712,plain,
$false,
inference(resolve,[status(thm)],[c_1711,c_361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+17 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 01:05:14 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 1908561 was started by sandbox2 on n011,
% 0.08/0.36 % Sun Sep 27 01:05:14 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 3.77/1.00
% 3.77/1.00 % SInE (scan): 72 to sos (tol 1.5x), 20 to usable (tol 2.0x), 10096 zapped, of 10188 axioms (depth 3).
% 3.77/1.00
% 3.77/1.00 % From the command line: assign(max_seconds, 300).
% 3.77/1.00
% 3.77/1.00 % SZS status Theorem for theBenchmark
% 3.77/1.00
% 3.77/1.00 % Proof 1 at 0.31 (+ 0.09) seconds.
% 3.77/1.00 % Length of proof is 21.
% 3.77/1.00 % Level of proof is 6.
% 3.77/1.00 % Maximum clause weight is 26.000.
% 3.77/1.00 % Given clauses 272.
% 3.77/1.00
% 3.77/1.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------