%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+4 : 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 : n001.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 07:07:38 AM UTC 2026
% Result : Theorem 8.38s 1.57s
% Output : CNFRefutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 269 ( 0 equ)
% Maximal formula atoms : 171 ( 8 avg)
% Number of connectives : 293 ( 54 ~; 44 |; 194 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 171 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 57 ( 57 usr; 56 con; 0-2 aty)
% Number of variables : 50 ( 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_insicht_3,axiom,
( varia(arena__1_1,varia_c)
& refer(arena__1_1,refer_c)
& quant(arena__1_1,one)
& gener(arena__1_1,ge)
& fact(arena__1_1,real)
& etype(arena__1_1,int0)
& card(arena__1_1,int1)
& sort(arena__1_1,d)
& sort(r__366misch__1_1,tq)
& gener(sub_0,gener_c)
& fact(sub_0,real)
& sort(sub_0,st)
& varia(c12606,varia_c)
& refer(c12606,refer_c)
& quant(c12606,quant_c)
& gener(c12606,gener_c)
& fact(c12606,real)
& etype(c12606,int2)
& etype(c12606,int1)
& card(c12606,card_c)
& sort(c12606,o)
& sort(zweitgro__337_1_1,mq)
& varia(amphi_theater_1_1,varia_c)
& refer(amphi_theater_1_1,refer_c)
& quant(amphi_theater_1_1,one)
& gener(amphi_theater_1_1,ge)
& fact(amphi_theater_1_1,real)
& etype(amphi_theater_1_1,int0)
& card(amphi_theater_1_1,int1)
& sort(amphi_theater_1_1,o)
& sort(c12605,tq)
& sort(rom_0,fe)
& varia(c12595,varia_c)
& refer(c12595,indet)
& quant(c12595,one)
& gener(c12595,sp)
& fact(c12595,real)
& etype(c12595,int0)
& card(c12595,int1)
& sort(c12595,na)
& varia(c12594,con)
& refer(c12594,det)
& quant(c12594,one)
& gener(c12594,sp)
& fact(c12594,real)
& etype(c12594,int0)
& card(c12594,int1)
& sort(c12594,io)
& sort(c12594,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(c12608,con)
& refer(c12608,det)
& quant(c12608,one)
& gener(c12608,sp)
& fact(c12608,real)
& etype(c12608,int0)
& card(c12608,int1)
& sort(c12608,l)
& gener(equ_0,gener_c)
& fact(equ_0,real)
& sort(equ_0,st)
& gener(c16,sp)
& fact(c16,real)
& sort(c16,st)
& varia(c12583,con)
& refer(c12583,det)
& quant(c12583,one)
& gener(c12583,sp)
& fact(c12583,real)
& etype(c12583,int0)
& card(c12583,int1)
& sort(c12583,d)
& varia(c12602,con)
& refer(c12602,det)
& quant(c12602,quant_c)
& gener(c12602,sp)
& fact(c12602,real)
& etype(c12602,etype_c)
& card(c12602,card_c)
& sort(c12602,co)
& gener(c12093,sp)
& fact(c12093,real)
& sort(c12093,st)
& sort(zwei_1_1,nq)
& sort(c12087,tq)
& sort(verona_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(c12059,varia_c)
& refer(c12059,indet)
& quant(c12059,one)
& gener(c12059,sp)
& fact(c12059,real)
& etype(c12059,int0)
& card(c12059,int1)
& sort(c12059,na)
& varia(c7,con)
& refer(c7,det)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,d)
& varia(c12058,con)
& refer(c12058,det)
& quant(c12058,one)
& gener(c12058,sp)
& fact(c12058,real)
& etype(c12058,int0)
& card(c12058,int1)
& sort(c12058,io)
& sort(c12058,d)
& sort(c0,tq)
& gener(bekommen_1_1,ge)
& fact(bekommen_1_1,real)
& sort(bekommen_1_1,dn)
& sub(c7,c7)
& sub(c7,arena__1_1)
& sub(c7,amphi_theater_1_1)
& prop(c7,r__366misch__1_1)
& prop(c7,c12087)
& equ(c7,c12602)
& subr(c16,sub_0)
& arg2(c16,c7)
& arg1(c16,c7)
& in(c12608,c12594)
& supl(c12605,zweitgro__337_1_1,c12606)
& sub(c12602,amphi_theater_1_1)
& prop(c12602,c12605)
& prop(c12602,c0)
& val(c12595,rom_0)
& sub(c12595,name_1_1)
& sub(c12594,stadt__1_1)
& attr(c12594,c12595)
& sub(c12583,kolosseum_1_1)
& loc(c12583,c12608)
& subr(c12093,equ_0)
& semrel(c12093,c16)
& assoc(c12093,c12583)
& arg2(c12093,c12602)
& arg1(c12093,c7)
& modp(c12087,zwei_1_1,c0)
& val(c12059,verona_0)
& sub(c12059,name_1_1)
& sub(c12058,stadt__1_1)
& attr(c12058,c12059)
& attch(c12058,c7)
& chsp2(bekommen_1_1,c0) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_insicht_3) ).
fof(synth_qa07_004_insicht_3,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_insicht_3) ).
fof(synth_qa07_004_insicht_3_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_insicht_3]) ).
fof(nnf_42,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_42]) ).
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_243,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_244,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_245,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_262,plain,
loc(c12583,c12608),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_3]) ).
cnf(c_263,plain,
sub(c12583,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_3]) ).
cnf(c_264,plain,
attr(c12594,c12595),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_3]) ).
cnf(c_265,plain,
sub(c12594,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_3]) ).
cnf(c_266,plain,
sub(c12595,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_3]) ).
cnf(c_267,plain,
val(c12595,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_3]) ).
cnf(c_272,plain,
in(c12608,c12594),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_insicht_3]) ).
cnf(c_421,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_insicht_3_neg]) ).
cnf(c_8788,negated_conjecture,
( ~ val(c12595,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c12594,stadt__1_1)
| ~ sub(c12595,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c12594) ),
inference(resolve,[status(thm)],[c_264,c_421]) ).
cnf(c_8789,negated_conjecture,
( ~ val(c12595,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c12594,stadt__1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c12594) ),
inference(resolve,[status(thm)],[c_266,c_8788]) ).
cnf(c_8790,negated_conjecture,
( ~ val(c12595,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c12594) ),
inference(resolve,[status(thm)],[c_265,c_8789]) ).
cnf(c_449,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c12594) ),
inference(resolve,[status(thm)],[c_267,c_8790]) ).
cnf(c_471,plain,
( ~ subs(B,stehen_1_1)
| ~ scar(B,c12583)
| ~ loc(B,A)
| ~ in(A,c12594) ),
inference(resolve,[status(thm)],[c_449,c_263]) ).
cnf(c_504,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c12583)
| ~ loc(A,c12608) ),
inference(resolve,[status(thm)],[c_272,c_471]) ).
cnf(c_2628,plain,
loc(sK0(c12583,c12608),c12608),
inference(resolve,[status(thm)],[c_243,c_262]) ).
cnf(c_2695,plain,
scar(sK0(c12583,c12608),c12583),
inference(resolve,[status(thm)],[c_244,c_262]) ).
cnf(c_2761,plain,
subs(sK0(c12583,c12608),stehen_1_1),
inference(resolve,[status(thm)],[c_245,c_262]) ).
cnf(c_8791,plain,
( ~ subs(sK0(c12583,c12608),stehen_1_1)
| ~ scar(sK0(c12583,c12608),c12583) ),
inference(resolve,[status(thm)],[c_2628,c_504]) ).
cnf(c_8792,plain,
~ subs(sK0(c12583,c12608),stehen_1_1),
inference(resolve,[status(thm)],[c_2695,c_8791]) ).
cnf(c_8787,plain,
$false,
inference(resolve,[status(thm)],[c_2761,c_8792]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR114+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 01:11:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.37 % Process 3054961 was started by sandbox2 on n001,
% 0.13/0.37 % Sun Sep 27 01:11:59 2026
% 0.13/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 8.38/1.57
% 8.38/1.57 % SInE (scan): 80 to sos (tol 1.5x), 21 to usable (tol 2.0x), 10087 zapped, of 10188 axioms (depth 3).
% 8.38/1.57
% 8.38/1.57 % From the command line: assign(max_seconds, 300).
% 8.38/1.57
% 8.38/1.57 % given #500 (A,wt=23): 441 -in(A,B) | -attr(B,c12059) | -loc(C,A) | -scar(C,c12583) | -sub(B,stadt__1_1) | -subs(C,stehen_1_1) | -val(c12059,rom_0). [resolve(263,a,430,f)].
% 8.38/1.57
% 8.38/1.57 % given #1000 (T,wt=5): 2329 sort_leq(c12059,at). [ur(158,a,303,a,b,458,a)].
% 8.38/1.57
% 8.38/1.57 % SZS status Theorem for theBenchmark
% 8.38/1.57
% 8.38/1.57 % Proof 1 at 0.91 (+ 0.14) seconds.
% 8.38/1.57 % Length of proof is 21.
% 8.38/1.57 % Level of proof is 5.
% 8.38/1.57 % Maximum clause weight is 29.000.
% 8.38/1.57 % Given clauses 1244.
% 8.38/1.57
% 8.38/1.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------