%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+20 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 7.55s 2.38s
% Output : CNFRefutation 7.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 293 ( 0 equ)
% Maximal formula atoms : 193 ( 9 avg)
% Number of connectives : 320 ( 57 ~; 46 |; 216 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 193 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 49 ( 49 usr; 48 con; 0-2 aty)
% Number of variables : 51 ( 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_67,axiom,
( gener(nachempfinden_1_1,ge)
& fact(nachempfinden_1_1,real)
& sort(nachempfinden_1_1,da)
& gener(ersetzen_1_1,ge)
& fact(ersetzen_1_1,real)
& sort(ersetzen_1_1,da)
& gener(c501,sp)
& fact(c501,real)
& sort(c501,da)
& varia(klotz__1_1,varia_c)
& refer(klotz__1_1,refer_c)
& quant(klotz__1_1,one)
& gener(klotz__1_1,ge)
& fact(klotz__1_1,real)
& etype(klotz__1_1,int0)
& card(klotz__1_1,int1)
& sort(klotz__1_1,d)
& sort(c0,tq)
& varia(c497,varia_c)
& refer(c497,refer_c)
& quant(c497,one)
& gener(c497,sp)
& fact(c497,real)
& etype(c497,int0)
& card(c497,int1)
& sort(c497,d)
& 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(c495,varia_c)
& refer(c495,indet)
& quant(c495,one)
& gener(c495,sp)
& fact(c495,real)
& etype(c495,int0)
& card(c495,int1)
& sort(c495,na)
& varia(c494,con)
& refer(c494,det)
& quant(c494,one)
& gener(c494,sp)
& fact(c494,real)
& etype(c494,int0)
& card(c494,int1)
& sort(c494,io)
& sort(c494,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(c505,con)
& refer(c505,det)
& quant(c505,one)
& gener(c505,sp)
& fact(c505,real)
& etype(c505,int0)
& card(c505,int1)
& sort(c505,l)
& varia(c486,con)
& refer(c486,det)
& quant(c486,one)
& gener(c486,sp)
& fact(c486,real)
& etype(c486,int0)
& card(c486,int1)
& sort(c486,d)
& varia(palais_1_1,varia_c)
& refer(palais_1_1,refer_c)
& quant(palais_1_1,one)
& gener(palais_1_1,ge)
& fact(palais_1_1,real)
& etype(palais_1_1,int0)
& card(palais_1_1,int1)
& sort(palais_1_1,d)
& sort(gro__337_1_1,mq)
& sort(niebuhr_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c379,varia_c)
& refer(c379,indet)
& quant(c379,one)
& gener(c379,sp)
& fact(c379,real)
& etype(c379,int0)
& card(c379,int1)
& sort(c379,na)
& gener(verlangen_2_1,ge)
& fact(verlangen_2_1,real)
& sort(verlangen_2_1,da)
& varia(c388,varia_c)
& refer(c388,indet)
& quant(c388,one)
& gener(c388,sp)
& fact(c388,real)
& etype(c388,int0)
& card(c388,int1)
& sort(c388,o)
& varia(c378,con)
& refer(c378,det)
& quant(c378,one)
& gener(c378,sp)
& fact(c378,real)
& etype(c378,int0)
& card(c378,int1)
& sort(c378,d)
& gener(c15,sp)
& fact(c15,real)
& sort(c15,da)
& varia(republik__1_1,varia_c)
& refer(republik__1_1,refer_c)
& quant(republik__1_1,one)
& gener(republik__1_1,ge)
& fact(republik__1_1,real)
& etype(republik__1_1,int0)
& card(republik__1_1,int1)
& sort(republik__1_1,io)
& sort(republik__1_1,d)
& varia(c4,con)
& refer(c4,det)
& quant(c4,one)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int0)
& card(c4,int1)
& sort(c4,d)
& varia(c11,con)
& refer(c11,det)
& quant(c11,one)
& gener(c11,sp)
& fact(c11,real)
& etype(c11,int0)
& card(c11,int1)
& sort(c11,io)
& sort(c11,d)
& chsp2(nachempfinden_1_1,c0)
& in(c505,c494)
& subs(c501,ersetzen_1_1)
& semrel(c501,c15)
& obj(c501,c497)
& benf(c501,c486)
& sub(c497,klotz__1_1)
& prop(c497,c0)
& val(c495,rom_0)
& sub(c495,name_1_1)
& sub(c494,stadt__1_1)
& attr(c494,c495)
& sub(c486,kolosseum_1_1)
& loc(c486,c505)
& sub(c4,palais_1_1)
& prop(c388,gro__337_1_1)
& val(c379,niebuhr_0)
& sub(c379,familiename_1_1)
& sub(c378,mensch_1_1)
& attr(c378,c379)
& subs(c15,verlangen_2_1)
& obj(c15,c4)
& cstr(c15,c388)
& agt(c15,c378)
& sub(c11,republik__1_1)
& attch(c11,c4) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_qapn_67) ).
fof(synth_qa07_004_qapn_67,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_67) ).
fof(synth_qa07_004_qapn_67_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_67]) ).
fof(nnf_46,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_46]) ).
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_271,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_272,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_273,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_292,plain,
loc(c486,c505),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_67]) ).
cnf(c_293,plain,
sub(c486,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_67]) ).
cnf(c_294,plain,
attr(c494,c495),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_67]) ).
cnf(c_295,plain,
sub(c494,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_67]) ).
cnf(c_296,plain,
sub(c495,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_67]) ).
cnf(c_297,plain,
val(c495,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_67]) ).
cnf(c_304,plain,
in(c505,c494),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_67]) ).
cnf(c_473,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_67_neg]) ).
cnf(c_6118,negated_conjecture,
( ~ val(c495,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c494,stadt__1_1)
| ~ sub(c495,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c494) ),
inference(resolve,[status(thm)],[c_294,c_473]) ).
cnf(c_6119,negated_conjecture,
( ~ val(c495,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c494,stadt__1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c494) ),
inference(resolve,[status(thm)],[c_296,c_6118]) ).
cnf(c_6120,negated_conjecture,
( ~ val(c495,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c494) ),
inference(resolve,[status(thm)],[c_295,c_6119]) ).
cnf(c_1263,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c494) ),
inference(resolve,[status(thm)],[c_297,c_6120]) ).
cnf(c_1277,plain,
( ~ subs(B,stehen_1_1)
| ~ scar(B,c486)
| ~ loc(B,A)
| ~ in(A,c494) ),
inference(resolve,[status(thm)],[c_1263,c_293]) ).
cnf(c_1353,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c486)
| ~ loc(A,c505) ),
inference(resolve,[status(thm)],[c_304,c_1277]) ).
cnf(c_4490,plain,
( ~ subs(sK0(A,c505),stehen_1_1)
| ~ scar(sK0(A,c505),c486)
| ~ loc(A,c505) ),
inference(resolve,[status(thm)],[c_271,c_1353]) ).
cnf(c_4592,plain,
scar(sK0(c486,c505),c486),
inference(resolve,[status(thm)],[c_272,c_292]) ).
cnf(c_4705,plain,
subs(sK0(c486,c505),stehen_1_1),
inference(resolve,[status(thm)],[c_273,c_292]) ).
cnf(c_6121,plain,
( ~ subs(sK0(c486,c505),stehen_1_1)
| ~ scar(sK0(c486,c505),c486) ),
inference(resolve,[status(thm)],[c_4490,c_292]) ).
cnf(c_6122,plain,
~ subs(sK0(c486,c505),stehen_1_1),
inference(resolve,[status(thm)],[c_4592,c_6121]) ).
cnf(c_6117,plain,
$false,
inference(resolve,[status(thm)],[c_4705,c_6122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR114+20 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 01:04:50 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.31 % Process 1861774 was started by sandbox on n012,
% 0.03/0.31 % Sun Sep 27 01:04:50 2026
% 0.03/0.31 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 7.55/2.38
% 7.55/2.38 % SInE (scan): 86 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10072 zapped, of 10188 axioms (depth 3).
% 7.55/2.38
% 7.55/2.38 % From the command line: assign(max_seconds, 300).
% 7.55/2.38
% 7.55/2.38 % given #500 (F,wt=12): 3012 -scar(nachempfindung_1_1,c486) | -subs(nachempfindung_1_1,stehen_1_1) | -chea(nachempfinden_1_1,A) | -loc(A,c505). [resolve(2985,a,229,c)].
% 7.55/2.38
% 7.55/2.38 % SZS status Theorem for theBenchmark
% 7.55/2.38
% 7.55/2.38 % Proof 1 at 0.85 (+ 0.10) seconds.
% 7.55/2.38 % Length of proof is 21.
% 7.55/2.38 % Level of proof is 6.
% 7.55/2.38 % Maximum clause weight is 27.000.
% 7.55/2.38 % Given clauses 948.
% 7.55/2.38
% 7.55/2.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------