%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+21 : 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 : n026.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 07:07:37 AM UTC 2026
% Result : Theorem 6.33s 1.42s
% Output : CNFRefutation 6.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 74 ( 5 avg)
% Number of connectives : 196 ( 54 ~; 44 |; 97 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 28 con; 0-2 aty)
% Number of variables : 49 ( 0 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_004_qapn_68,axiom,
( 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(c30,con)
& refer(c30,det)
& quant(c30,one)
& gener(c30,sp)
& fact(c30,real)
& etype(c30,int0)
& card(c30,int1)
& sort(c30,l)
& gener(restaurieren_1_1,ge)
& fact(restaurieren_1_1,real)
& sort(restaurieren_1_1,da)
& varia(c5,con)
& refer(c5,det)
& quant(c5,one)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sort(c5,d)
& gener(c19,sp)
& fact(c19,real)
& sort(c19,da)
& 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(c13,varia_c)
& refer(c13,indet)
& quant(c13,one)
& gener(c13,sp)
& fact(c13,real)
& etype(c13,int0)
& card(c13,int1)
& sort(c13,na)
& varia(c12,con)
& refer(c12,det)
& quant(c12,one)
& gener(c12,sp)
& fact(c12,real)
& etype(c12,int0)
& card(c12,int1)
& sort(c12,io)
& sort(c12,d)
& sub(c5,kolosseum_1_1)
& loc(c5,c30)
& in(c30,c12)
& subs(c19,restaurieren_1_1)
& aff(c19,c5)
& val(c13,rom_0)
& sub(c13,name_1_1)
& sub(c12,stadt__1_1)
& attr(c12,c13) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_qapn_68) ).
fof(synth_qa07_004_qapn_68,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X3,kolosseum_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
file('theBenchmark.p',synth_qa07_004_qapn_68) ).
fof(synth_qa07_004_qapn_68_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X3,kolosseum_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_qapn_68]) ).
fof(nnf_34,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_34]) ).
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_177,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_178,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_179,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_182,plain,
attr(c12,c13),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_68]) ).
cnf(c_183,plain,
sub(c12,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_68]) ).
cnf(c_184,plain,
sub(c13,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_68]) ).
cnf(c_185,plain,
val(c13,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_68]) ).
cnf(c_188,plain,
in(c30,c12),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_68]) ).
cnf(c_189,plain,
loc(c5,c30),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_68]) ).
cnf(c_190,plain,
sub(c5,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_68]) ).
cnf(c_256,negated_conjecture,
( ~ val(C,rom_0)
| ~ subs(D,stehen_1_1)
| ~ sub(E,kolosseum_1_1)
| ~ sub(B,stadt__1_1)
| ~ sub(C,name_1_1)
| ~ scar(D,E)
| ~ loc(D,A)
| ~ attr(B,C)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_qapn_68_neg]) ).
cnf(c_3114,negated_conjecture,
( ~ val(c13,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c12,stadt__1_1)
| ~ sub(c13,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c12) ),
inference(resolve,[status(thm)],[c_182,c_256]) ).
cnf(c_3115,negated_conjecture,
( ~ val(c13,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c12,stadt__1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c12) ),
inference(resolve,[status(thm)],[c_184,c_3114]) ).
cnf(c_3116,negated_conjecture,
( ~ val(c13,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c12) ),
inference(resolve,[status(thm)],[c_183,c_3115]) ).
cnf(c_257,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c12) ),
inference(resolve,[status(thm)],[c_185,c_3116]) ).
cnf(c_294,plain,
( ~ subs(B,stehen_1_1)
| ~ scar(B,c5)
| ~ loc(B,A)
| ~ in(A,c12) ),
inference(resolve,[status(thm)],[c_190,c_257]) ).
cnf(c_1217,plain,
loc(sK0(c5,c30),c30),
inference(resolve,[status(thm)],[c_177,c_189]) ).
cnf(c_1241,plain,
scar(sK0(c5,c30),c5),
inference(resolve,[status(thm)],[c_178,c_189]) ).
cnf(c_1310,plain,
subs(sK0(c5,c30),stehen_1_1),
inference(resolve,[status(thm)],[c_179,c_189]) ).
cnf(c_3117,plain,
( ~ subs(sK0(c5,c30),stehen_1_1)
| ~ scar(sK0(c5,c30),c5)
| ~ in(c30,c12) ),
inference(resolve,[status(thm)],[c_1217,c_294]) ).
cnf(c_3118,plain,
( ~ subs(sK0(c5,c30),stehen_1_1)
| ~ scar(sK0(c5,c30),c5) ),
inference(resolve,[status(thm)],[c_188,c_3117]) ).
cnf(c_3119,plain,
~ subs(sK0(c5,c30),stehen_1_1),
inference(resolve,[status(thm)],[c_1241,c_3118]) ).
cnf(c_3113,plain,
$false,
inference(resolve,[status(thm)],[c_1310,c_3119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR114+21 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 01:08:10 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 2332758 was started by sandbox2 on n026,
% 0.18/0.45 % Sun Sep 27 01:08:10 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 6.33/1.42
% 6.33/1.42 % SInE (scan): 65 to sos (tol 1.5x), 18 to usable (tol 2.0x), 10105 zapped, of 10188 axioms (depth 3).
% 6.33/1.42
% 6.33/1.42 % From the command line: assign(max_seconds, 300).
% 6.33/1.42
% 6.33/1.42 % given #500 (F,wt=17): 574 -scar(c5,c13) | -subs(c5,stehen_1_1) | -sub(A,kolosseum_1_1) | -sub(name_1_1,B) | -sub(B,A). [resolve(449,c,143,c)].
% 6.33/1.42
% 6.33/1.42 % SZS status Theorem for theBenchmark
% 6.33/1.42
% 6.33/1.42 % Proof 1 at 0.63 (+ 0.17) seconds.
% 6.33/1.42 % Length of proof is 20.
% 6.33/1.42 % Level of proof is 4.
% 6.33/1.42 % Maximum clause weight is 29.000.
% 6.33/1.42 % Given clauses 581.
% 6.33/1.42
% 6.33/1.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------