%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR112+1 : 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 : n004.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 07:07:32 AM UTC 2026
% Result : Theorem 14.16s 7.25s
% Output : CNFRefutation 14.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 15 unt; 0 def)
% Number of atoms : 304 ( 0 equ)
% Maximal formula atoms : 166 ( 7 avg)
% Number of connectives : 343 ( 80 ~; 70 |; 191 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 166 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-9 aty)
% Number of functors : 51 ( 51 usr; 49 con; 0-3 aty)
% Number of variables : 104 ( 37 sgn 23 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(member_second,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('theBenchmark.p',member_second) ).
fof(attr_name_hei__337en_1_1,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('theBenchmark.p',attr_name_hei__337en_1_1) ).
fof(ave07_era5_synth_qa07_001_qapn_4,axiom,
( varia(c5901,varia_c)
& refer(c5901,det)
& quant(c5901,one)
& gener(c5901,sp)
& fact(c5901,real)
& etype(c5901,int0)
& card(c5901,int1)
& sort(c5901,o)
& varia(c6138,varia_c)
& refer(c6138,refer_c)
& quant(c6138,quant_c)
& gener(c6138,gener_c)
& fact(c6138,real)
& etype(c6138,etype_c)
& card(c6138,card_c)
& sort(c6138,ent)
& varia(minute_1_1,varia_c)
& refer(minute_1_1,refer_c)
& quant(minute_1_1,quant_c)
& gener(minute_1_1,ge)
& fact(minute_1_1,real)
& etype(minute_1_1,etype_c)
& card(minute_1_1,card_c)
& sort(minute_1_1,ta)
& sort(minute_1_1,oa)
& sort(minute_1_1,me)
& varia(c5937,varia_c)
& refer(c5937,refer_c)
& quant(c5937,quant_c)
& gener(c5937,gener_c)
& fact(c5937,real)
& etype(c5937,etype_c)
& card(c5937,card_c)
& sort(c5937,ta)
& sort(c5937,oa)
& sort(c5937,me)
& varia(abstand_1_1,varia_c)
& refer(abstand_1_1,refer_c)
& quant(abstand_1_1,one)
& gener(abstand_1_1,ge)
& fact(abstand_1_1,real)
& etype(abstand_1_1,int0)
& card(abstand_1_1,int1)
& sort(abstand_1_1,na)
& sort(abstand_1_1,io)
& varia(c5932,con)
& refer(c5932,det)
& quant(c5932,one)
& gener(c5932,sp)
& fact(c5932,real)
& etype(c5932,int0)
& card(c5932,int1)
& sort(c5932,na)
& sort(c5932,io)
& varia(u3_1_1,varia_c)
& refer(u3_1_1,refer_c)
& quant(u3_1_1,one)
& gener(u3_1_1,ge)
& fact(u3_1_1,real)
& etype(u3_1_1,int0)
& card(u3_1_1,int1)
& sort(u3_1_1,o)
& varia(c5921,varia_c)
& refer(c5921,indet)
& quant(c5921,mult)
& gener(c5921,gener_c)
& fact(c5921,real)
& etype(c5921,int1)
& card(c5921,cons(x_constant,cons(int1,nil)))
& sort(c5921,o)
& sort(u2_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(einrichtung_1_2,varia_c)
& refer(einrichtung_1_2,refer_c)
& quant(einrichtung_1_2,quant_c)
& gener(einrichtung_1_2,ge)
& fact(einrichtung_1_2,real)
& etype(einrichtung_1_2,int1)
& card(einrichtung_1_2,card_c)
& sort(einrichtung_1_2,io)
& sort(einrichtung_1_2,d)
& varia(c5920,varia_c)
& refer(c5920,indet)
& quant(c5920,one)
& gener(c5920,sp)
& fact(c5920,real)
& etype(c5920,int0)
& card(c5920,int1)
& sort(c5920,na)
& varia(c5919,con)
& refer(c5919,det)
& quant(c5919,one)
& gener(c5919,sp)
& fact(c5919,real)
& etype(c5919,int1)
& card(c5919,int1)
& sort(c5919,io)
& sort(c5919,d)
& varia(u1_1_1,varia_c)
& refer(u1_1_1,refer_c)
& quant(u1_1_1,one)
& gener(u1_1_1,ge)
& fact(u1_1_1,real)
& etype(u1_1_1,int0)
& card(u1_1_1,int1)
& sort(u1_1_1,o)
& varia(c5912,varia_c)
& refer(c5912,indet)
& quant(c5912,mult)
& gener(c5912,gener_c)
& fact(c5912,real)
& etype(c5912,int1)
& card(c5912,cons(x_constant,cons(int1,nil)))
& sort(c5912,o)
& varia(linie_1_1,varia_c)
& refer(linie_1_1,refer_c)
& quant(linie_1_1,one)
& gener(linie_1_1,ge)
& fact(linie_1_1,real)
& etype(linie_1_1,int0)
& card(linie_1_1,int1)
& sort(linie_1_1,io)
& sort(linie_1_1,d)
& varia(c5910,varia_c)
& refer(c5910,indet)
& quant(c5910,mult)
& gener(c5910,gener_c)
& fact(c5910,real)
& etype(c5910,int1)
& card(c5910,cons(x_constant,cons(int1,nil)))
& sort(c5910,io)
& sort(c5910,d)
& varia(bahn_1_1,varia_c)
& refer(bahn_1_1,refer_c)
& quant(bahn_1_1,one)
& gener(bahn_1_1,ge)
& fact(bahn_1_1,real)
& etype(bahn_1_1,int0)
& card(bahn_1_1,int1)
& sort(bahn_1_1,io)
& varia(c5909,varia_c)
& refer(c5909,refer_c)
& quant(c5909,one)
& gener(c5909,gener_c)
& fact(c5909,real)
& etype(c5909,int0)
& card(c5909,int1)
& sort(c5909,io)
& tupl_p9(c6138,c5901,c5909,c5910,c5912,c5919,c5921,c5932,c5937)
& pred(c5937,minute_1_1)
& sub(c5932,abstand_1_1)
& pred(c5921,u3_1_1)
& val(c5920,u2_0)
& sub(c5920,name_1_1)
& sub(c5919,einrichtung_1_2)
& attr(c5919,c5920)
& pred(c5912,u1_1_1)
& pred(c5910,linie_1_1)
& sub(c5909,bahn_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_001_qapn_4) ).
fof(synth_qa07_001_qapn_4,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,u2_0)
& subs(X4,hei__337en_1_1)
& sub(X6,name_1_1)
& sub(X1,bahn_1_1)
& pred(X3,u1_1_1)
& pred(X2,linie_1_1)
& attr(X7,X6)
& arg2(X4,X0)
& arg1(X4,X5) ),
file('theBenchmark.p',synth_qa07_001_qapn_4) ).
fof(synth_qa07_001_qapn_4_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,u2_0)
& subs(X4,hei__337en_1_1)
& sub(X6,name_1_1)
& sub(X1,bahn_1_1)
& pred(X3,u1_1_1)
& pred(X2,linie_1_1)
& attr(X7,X6)
& arg2(X4,X0)
& arg1(X4,X5) ),
inference(assume_negation,[status(cth)],[synth_qa07_001_qapn_4]) ).
cnf(c_153,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_154,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
fof(nnf_38,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(fof_nnf,[status(thm)],[attr_name_hei__337en_1_1]) ).
fof(sk_attr_name_hei__337en_1_1_sk,plain,
! [X0,X1,X2] :
( ( subs(sK0(X0,X1,X2),hei__337en_1_1)
& arg2(sK0(X0,X1,X2),X2)
& arg1(sK0(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_38]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_1,VAR_2,VAR_0),hei__337en_1_1)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name_hei__337en_1_1_sk]) ).
cnf(c_220,plain,
( arg1(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_221,plain,
( arg2(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_222,plain,
( subs(sK0(B,C,A),hei__337en_1_1)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_248,plain,
sub(c5909,bahn_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).
cnf(c_249,plain,
pred(c5910,linie_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).
cnf(c_250,plain,
pred(c5912,u1_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).
cnf(c_251,plain,
attr(c5919,c5920),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).
cnf(c_253,plain,
sub(c5920,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).
cnf(c_254,plain,
val(c5920,u2_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).
cnf(c_414,negated_conjecture,
( ~ val(E,u2_0)
| ~ subs(A,hei__337en_1_1)
| ~ sub(E,name_1_1)
| ~ sub(V7,bahn_1_1)
| ~ pred(V6,u1_1_1)
| ~ pred(F,linie_1_1)
| ~ attr(D,E)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_001_qapn_4_neg]) ).
cnf(c_476,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_154,c_153]) ).
cnf(c_575,plain,
( ~ val(E,u2_0)
| ~ subs(A,hei__337en_1_1)
| ~ sub(E,name_1_1)
| ~ pred(V6,u1_1_1)
| ~ pred(F,linie_1_1)
| ~ attr(D,E)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_248,c_414]) ).
cnf(c_6493,plain,
( ~ val(c5920,u2_0)
| ~ subs(A,hei__337en_1_1)
| ~ sub(c5920,name_1_1)
| ~ pred(E,u1_1_1)
| ~ pred(D,linie_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_575,c_251]) ).
cnf(c_6494,plain,
( ~ val(c5920,u2_0)
| ~ subs(A,hei__337en_1_1)
| ~ pred(E,u1_1_1)
| ~ pred(D,linie_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_253,c_6493]) ).
cnf(c_942,plain,
( ~ subs(A,hei__337en_1_1)
| ~ pred(E,u1_1_1)
| ~ pred(D,linie_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_254,c_6494]) ).
cnf(c_958,plain,
( ~ subs(A,hei__337en_1_1)
| ~ pred(D,u1_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_942,c_249]) ).
cnf(c_964,plain,
( ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_958,c_250]) ).
cnf(c_5010,plain,
member(A,cons(B,cons(C,cons(A,D)))),
inference(resolve,[status(thm)],[c_154,c_476]) ).
cnf(c_6495,plain,
( subs(sK0(c5920,A,c5919),hei__337en_1_1)
| ~ sub(c5920,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_222,c_251]) ).
cnf(c_6496,plain,
( subs(sK0(c5920,name_1_1,c5919),hei__337en_1_1)
| ~ sub(c5920,name_1_1) ),
inference(resolve,[status(thm)],[c_6495,c_5010]) ).
cnf(c_6334,plain,
subs(sK0(c5920,name_1_1,c5919),hei__337en_1_1),
inference(resolve,[status(thm)],[c_6496,c_253]) ).
cnf(c_6497,plain,
( arg2(sK0(c5920,A,c5919),c5919)
| ~ sub(c5920,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_221,c_251]) ).
cnf(c_6498,plain,
( arg2(sK0(c5920,name_1_1,c5919),c5919)
| ~ sub(c5920,name_1_1) ),
inference(resolve,[status(thm)],[c_6497,c_5010]) ).
cnf(c_6335,plain,
arg2(sK0(c5920,name_1_1,c5919),c5919),
inference(resolve,[status(thm)],[c_6498,c_253]) ).
cnf(c_6499,plain,
( arg1(sK0(c5920,A,c5919),c5919)
| ~ sub(c5920,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_220,c_251]) ).
cnf(c_6500,plain,
( arg1(sK0(c5920,name_1_1,c5919),c5919)
| ~ sub(c5920,name_1_1) ),
inference(resolve,[status(thm)],[c_6499,c_5010]) ).
cnf(c_6336,plain,
arg1(sK0(c5920,name_1_1,c5919),c5919),
inference(resolve,[status(thm)],[c_6500,c_253]) ).
cnf(c_6501,plain,
( ~ subs(sK0(c5920,name_1_1,c5919),hei__337en_1_1)
| ~ arg1(sK0(c5920,name_1_1,c5919),A) ),
inference(resolve,[status(thm)],[c_6335,c_964]) ).
cnf(c_6491,plain,
~ arg1(sK0(c5920,name_1_1,c5919),A),
inference(resolve,[status(thm)],[c_6334,c_6501]) ).
cnf(c_6492,plain,
$false,
inference(resolve,[status(thm)],[c_6491,c_6336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR112+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 27 01:01:45 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.38 % Process 2992870 was started by sandbox2 on n004,
% 0.09/5.38 % Sun Sep 27 01:01:45 2026
% 0.09/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 14.16/7.25
% 14.16/7.25 % SInE (scan): 74 to sos (tol 1.5x), 25 to usable (tol 2.0x), 10089 zapped, of 10188 axioms (depth 3).
% 14.16/7.25
% 14.16/7.25 % From the command line: assign(max_seconds, 300).
% 14.16/7.25
% 14.16/7.25 % given #500 (F,wt=14): 1350 -subs(f27(A,name_1_1),hei__337en_1_1) | -sub(B,c5920) | -sub(A,C) | -sub(C,B). [resolve(1119,b,189,c)].
% 14.16/7.25
% 14.16/7.25 % SZS status Theorem for theBenchmark
% 14.16/7.25
% 14.16/7.25 % Proof 1 at 1.57 (+ 0.20) seconds.
% 14.16/7.25 % Length of proof is 28.
% 14.16/7.25 % Level of proof is 7.
% 14.16/7.25 % Maximum clause weight is 27.000.
% 14.16/7.25 % Given clauses 988.
% 14.16/7.25
% 14.16/7.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------