%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+13 : 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 3.56s 0.94s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 265 ( 0 equ)
% Maximal formula atoms : 135 ( 7 avg)
% Number of connectives : 294 ( 64 ~; 53 |; 175 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 135 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-5 aty)
% Number of functors : 51 ( 51 usr; 46 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_311,axiom,
( varia(ziel_1_1,varia_c)
& refer(ziel_1_1,refer_c)
& quant(ziel_1_1,one)
& gener(ziel_1_1,ge)
& fact(ziel_1_1,real)
& etype(ziel_1_1,int0)
& card(ziel_1_1,int1)
& sort(ziel_1_1,io)
& varia(ferien__1_1,varia_c)
& refer(ferien__1_1,refer_c)
& quant(ferien__1_1,one)
& gener(ferien__1_1,ge)
& fact(ferien__1_1,real)
& etype(ferien__1_1,int0)
& card(ferien__1_1,int1)
& sort(ferien__1_1,as)
& varia(c694,varia_c)
& refer(c694,refer_c)
& quant(c694,quant_c)
& gener(c694,gener_c)
& fact(c694,real)
& etype(c694,etype_c)
& card(c694,card_c)
& sort(c694,ent)
& sort(rom_0,fe)
& 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(c137,varia_c)
& refer(c137,indet)
& quant(c137,one)
& gener(c137,sp)
& fact(c137,real)
& etype(c137,int0)
& card(c137,int1)
& sort(c137,na)
& varia(c136,con)
& refer(c136,det)
& quant(c136,one)
& gener(c136,sp)
& fact(c136,real)
& etype(c136,int0)
& card(c136,int1)
& sort(c136,io)
& sort(c136,d)
& sort(italienisch__1_1,nq)
& varia(tourist_1_1,varia_c)
& refer(tourist_1_1,refer_c)
& quant(tourist_1_1,one)
& gener(tourist_1_1,ge)
& fact(tourist_1_1,real)
& etype(tourist_1_1,int0)
& card(tourist_1_1,int1)
& sort(tourist_1_1,d)
& varia(c123,varia_c)
& refer(c123,refer_c)
& quant(c123,mult)
& gener(c123,gener_c)
& fact(c123,real)
& etype(c123,int1)
& card(c123,cons(x_constant,cons(int1,nil)))
& sort(c123,d)
& varia(ferienziel_1_1,varia_c)
& refer(ferienziel_1_1,refer_c)
& quant(ferienziel_1_1,one)
& gener(ferienziel_1_1,ge)
& fact(ferienziel_1_1,real)
& etype(ferienziel_1_1,int0)
& card(ferienziel_1_1,int1)
& sort(ferienziel_1_1,io)
& sort(beliebt_1_1,nq)
& varia(c117,varia_c)
& refer(c117,indet)
& quant(c117,one)
& gener(c117,sp)
& fact(c117,real)
& etype(c117,int0)
& card(c117,int1)
& sort(c117,io)
& sort(ponza_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(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,one)
& gener(gebietsinstitution_1_1,ge)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,int0)
& card(gebietsinstitution_1_1,int1)
& sort(gebietsinstitution_1_1,io)
& sort(gebietsinstitution_1_1,d)
& varia(c113,varia_c)
& refer(c113,indet)
& quant(c113,one)
& gener(c113,sp)
& fact(c113,real)
& etype(c113,int0)
& card(c113,int1)
& sort(c113,na)
& varia(c112,con)
& refer(c112,det)
& quant(c112,one)
& gener(c112,sp)
& fact(c112,real)
& etype(c112,int0)
& card(c112,int1)
& sort(c112,io)
& sort(c112,d)
& sub(ferienziel_1_1,ziel_1_1)
& assoc(ferienziel_1_1,ferien__1_1)
& tupl_p5(c694,c112,c117,c123,c136)
& val(c137,rom_0)
& sub(c137,name_1_1)
& sub(c136,stadt__1_1)
& attr(c136,c137)
& prop(c123,italienisch__1_1)
& pred(c123,tourist_1_1)
& sub(c117,ferienziel_1_1)
& prop(c117,beliebt_1_1)
& val(c113,ponza_0)
& sub(c113,name_1_1)
& sub(c112,gebietsinstitution_1_1)
& attr(c112,c113) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_mira_wp_311) ).
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_311,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_311) ).
fof(synth_qa07_004_mira_wp_311_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_311]) ).
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_86,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_109,plain,
state_adjective_state_binding(italienisch__1_1,italien_0),
inference(clausify,[status(thm)],[fact_8886]) ).
fof(nnf_35,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_35]) ).
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_190,plain,
prop(c123,italienisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).
cnf(c_191,plain,
attr(c136,c137),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).
cnf(c_192,plain,
sub(c136,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).
cnf(c_193,plain,
sub(c137,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).
cnf(c_194,plain,
val(c137,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).
cnf(c_318,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_311_neg]) ).
cnf(c_2060,plain,
( loc(c123,sK0(c123,italienisch__1_1,A))
| ~ state_adjective_state_binding(italienisch__1_1,A) ),
inference(resolve,[status(thm)],[c_86,c_190]) ).
cnf(c_351,plain,
loc(c123,sK0(c123,italienisch__1_1,italien_0)),
inference(resolve,[status(thm)],[c_2060,c_109]) ).
cnf(c_2061,negated_conjecture,
( ~ val(c137,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c136,stadt__1_1)
| ~ sub(c137,name_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_191,c_318]) ).
cnf(c_2062,negated_conjecture,
( ~ val(c137,rom_0)
| ~ subs(A,stehen_1_1)
| ~ sub(c136,stadt__1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_193,c_2061]) ).
cnf(c_2063,negated_conjecture,
( ~ val(c137,rom_0)
| ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_192,c_2062]) ).
cnf(c_357,negated_conjecture,
( ~ subs(A,stehen_1_1)
| ~ scar(A,C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_194,c_2063]) ).
cnf(c_1602,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ scar(sK1(A,B),C)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_177,c_357]) ).
cnf(c_2064,plain,
( ~ loc(A,B)
| ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_1602,c_178]) ).
cnf(c_2050,plain,
( ~ subs(sK1(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(copy,[status(thm)],[c_2064]) ).
cnf(c_2065,plain,
( ~ loc(A,B)
| ~ loc(A,B) ),
inference(resolve,[status(thm)],[c_2050,c_179]) ).
cnf(c_2058,plain,
~ loc(A,B),
inference(copy,[status(thm)],[c_2065]) ).
cnf(c_2059,plain,
$false,
inference(resolve,[status(thm)],[c_2058,c_351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+13 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 01:05:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 725208 was started by sandbox2 on n008,
% 0.10/0.38 % Sun Sep 27 01:05:24 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 3.56/0.94
% 3.56/0.94 % SInE (scan): 68 to sos (tol 1.5x), 19 to usable (tol 2.0x), 10101 zapped, of 10188 axioms (depth 3).
% 3.56/0.94
% 3.56/0.94 % From the command line: assign(max_seconds, 300).
% 3.56/0.94
% 3.56/0.94 % SZS status Theorem for theBenchmark
% 3.56/0.94
% 3.56/0.94 % Proof 1 at 0.27 (+ 0.08) seconds.
% 3.56/0.94 % Length of proof is 21.
% 3.56/0.94 % Level of proof is 6.
% 3.56/0.94 % Maximum clause weight is 23.000.
% 3.56/0.94 % Given clauses 337.
% 3.56/0.94
% 3.56/0.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------