%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+37 : 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 : n014.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 07:07:43 AM UTC 2026
% Result : Theorem 0.22s 0.64s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 290 ( 0 equ)
% Maximal formula atoms : 173 ( 10 avg)
% Number of connectives : 343 ( 81 ~; 67 |; 194 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 173 ( 12 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 56 ( 56 usr; 56 con; 0-0 aty)
% Number of variables : 69 ( 15 sgn 2 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(has_card_eq,axiom,
! [X0,X1] :
( card(X0,X1)
=> has_card_leq(X0,X1) ),
file('theBenchmark.p',has_card_eq) ).
fof(ave07_era5_synth_qa07_007_mira_news_1229,axiom,
( varia(entwicklungstendenz_1_1,varia_c)
& refer(entwicklungstendenz_1_1,refer_c)
& quant(entwicklungstendenz_1_1,one)
& gener(entwicklungstendenz_1_1,ge)
& fact(entwicklungstendenz_1_1,real)
& etype(entwicklungstendenz_1_1,int0)
& card(entwicklungstendenz_1_1,int1)
& sort(entwicklungstendenz_1_1,io)
& varia(markt_1_1,varia_c)
& refer(markt_1_1,refer_c)
& quant(markt_1_1,one)
& gener(markt_1_1,ge)
& fact(markt_1_1,real)
& etype(markt_1_1,int0)
& card(markt_1_1,int1)
& sort(markt_1_1,d)
& sort(halb__1_1,tq)
& varia(sich_1_1,varia_c)
& refer(sich_1_1,refer_c)
& quant(sich_1_1,one)
& gener(sich_1_1,gener_c)
& fact(sich_1_1,real)
& etype(sich_1_1,int0)
& card(sich_1_1,int1)
& sort(sich_1_1,o)
& sort(bmw_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(firma_1_1,varia_c)
& refer(firma_1_1,refer_c)
& quant(firma_1_1,one)
& gener(firma_1_1,ge)
& fact(firma_1_1,real)
& etype(firma_1_1,int0)
& card(firma_1_1,int1)
& sort(firma_1_1,io)
& sort(firma_1_1,d)
& varia(c94,varia_c)
& refer(c94,indet)
& quant(c94,one)
& gener(c94,sp)
& fact(c94,real)
& etype(c94,int0)
& card(c94,int1)
& sort(c94,na)
& gener(abkoppeln_1_1,ge)
& fact(abkoppeln_1_1,real)
& sort(abkoppeln_1_1,da)
& varia(c95,varia_c)
& refer(c95,refer_c)
& quant(c95,quant_c)
& gener(c95,sp)
& fact(c95,real)
& etype(c95,etype_c)
& card(c95,card_c)
& sort(c95,co)
& gener(k__366nnen_0,gener_c)
& fact(k__366nnen_0,real)
& sort(k__366nnen_0,md)
& varia(c93,con)
& refer(c93,det)
& quant(c93,one)
& gener(c93,sp)
& fact(c93,real)
& etype(c93,int0)
& card(c93,int1)
& sort(c93,io)
& sort(c93,d)
& gener(c111,sp)
& fact(c111,real)
& sort(c111,da)
& varia(markttrend_1_1,varia_c)
& refer(markttrend_1_1,refer_c)
& quant(markttrend_1_1,one)
& gener(markttrend_1_1,ge)
& fact(markttrend_1_1,real)
& etype(markttrend_1_1,int0)
& card(markttrend_1_1,int1)
& sort(markttrend_1_1,io)
& sort(r__374ckg__344ngig_1_1,nq)
& varia(c110,con)
& refer(c110,det)
& quant(c110,one)
& gener(c110,sp)
& fact(c110,real)
& etype(c110,int0)
& card(c110,int1)
& sort(c110,io)
& card(c102,int1994)
& sort(c102,nu)
& varia(jahr__1_1,varia_c)
& refer(jahr__1_1,refer_c)
& quant(jahr__1_1,quant_c)
& gener(jahr__1_1,ge)
& fact(jahr__1_1,real)
& etype(jahr__1_1,etype_c)
& card(jahr__1_1,card_c)
& sort(jahr__1_1,ta)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,me)
& varia(c107,varia_c)
& refer(c107,refer_c)
& quant(c107,quant_c)
& gener(c107,sp)
& fact(c107,real)
& etype(c107,etype_c)
& card(c107,card_c)
& sort(c107,ta)
& sort(c107,oa)
& sort(c107,me)
& varia(halbjahr_1_1,varia_c)
& refer(halbjahr_1_1,refer_c)
& quant(halbjahr_1_1,one)
& gener(halbjahr_1_1,ge)
& fact(halbjahr_1_1,real)
& etype(halbjahr_1_1,int0)
& card(halbjahr_1_1,int1)
& sort(halbjahr_1_1,ta)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c106,con)
& refer(c106,det)
& quant(c106,one)
& gener(c106,sp)
& fact(c106,real)
& etype(c106,int0)
& card(c106,int1)
& sort(c106,t)
& varia(c103,varia_c)
& refer(c103,refer_c)
& quant(c103,one)
& gener(c103,ge)
& fact(c103,real)
& etype(c103,int0)
& card(c103,int1)
& sort(c103,ta)
& varia(c100,con)
& refer(c100,det)
& quant(c100,one)
& gener(c100,sp)
& fact(c100,real)
& etype(c100,int0)
& card(c100,int1)
& sort(c100,ta)
& sub(markttrend_1_1,entwicklungstendenz_1_1)
& assoc(markttrend_1_1,markt_1_1)
& sub(halbjahr_1_1,jahr__1_1)
& assoc(halbjahr_1_1,halb__1_1)
& sub(c95,sich_1_1)
& val(c94,bmw_0)
& sub(c94,name_1_1)
& sub(c93,firma_1_1)
& attr(c93,c94)
& temp(c111,c100)
& subs(c111,abkoppeln_1_1)
& obj(c111,c95)
& modl(c111,k__366nnen_0)
& benf(c111,c93)
& sub(c110,markttrend_1_1)
& prop(c110,r__374ckg__344ngig_1_1)
& attch(c110,c100)
& val(c107,c102)
& sub(c107,jahr__1_1)
& attr(c106,c107)
& pmod(c103,erst_1_1,halbjahr_1_1)
& temp(c100,c106)
& sub(c100,c103) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1229) ).
fof(synth_qa07_007_mira_news_1229,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& val(X2,bmw_0)
& val(X1,bmw_0)
& temp(X4,X5)
& sub(X6,jahr__1_1)
& sub(X2,name_1_1)
& sub(X0,firma_1_1)
& sub(X1,name_1_1)
& has_card_leq(X7,int1994)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1229) ).
fof(synth_qa07_007_mira_news_1229_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& val(X2,bmw_0)
& val(X1,bmw_0)
& temp(X4,X5)
& sub(X6,jahr__1_1)
& sub(X2,name_1_1)
& sub(X0,firma_1_1)
& sub(X1,name_1_1)
& has_card_leq(X7,int1994)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1229]) ).
cnf(c_150,plain,
( has_card_leq(A,B)
| ~ card(A,B) ),
inference(clausify,[status(thm)],[has_card_eq]) ).
cnf(c_224,plain,
temp(c100,c106),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_226,plain,
attr(c106,c107),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_227,plain,
sub(c107,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_228,plain,
val(c107,c102),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_237,plain,
attr(c93,c94),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_238,plain,
sub(c93,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_239,plain,
sub(c94,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_240,plain,
val(c94,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_301,plain,
card(c102,int1994),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).
cnf(c_396,negated_conjecture,
( ~ val(F,V6)
| ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ temp(V7,E)
| ~ sub(F,jahr__1_1)
| ~ sub(D,name_1_1)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ has_card_leq(V6,int1994)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1229_neg]) ).
cnf(c_446,negated_conjecture,
( ~ val(D,E)
| ~ val(B,bmw_0)
| ~ val(c94,bmw_0)
| ~ temp(F,C)
| ~ sub(D,jahr__1_1)
| ~ sub(B,name_1_1)
| ~ sub(c93,firma_1_1)
| ~ sub(c94,name_1_1)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_237,c_396]) ).
cnf(c_447,negated_conjecture,
( ~ val(D,E)
| ~ val(B,bmw_0)
| ~ val(c94,bmw_0)
| ~ temp(F,C)
| ~ sub(D,jahr__1_1)
| ~ sub(B,name_1_1)
| ~ sub(c93,firma_1_1)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_239,c_446]) ).
cnf(c_448,negated_conjecture,
( ~ val(D,E)
| ~ val(B,bmw_0)
| ~ val(c94,bmw_0)
| ~ temp(F,C)
| ~ sub(D,jahr__1_1)
| ~ sub(B,name_1_1)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_238,c_447]) ).
cnf(c_419,negated_conjecture,
( ~ val(D,E)
| ~ val(B,bmw_0)
| ~ temp(F,C)
| ~ sub(D,jahr__1_1)
| ~ sub(B,name_1_1)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_240,c_448]) ).
cnf(c_449,plain,
( ~ val(B,C)
| ~ val(c94,bmw_0)
| ~ temp(D,A)
| ~ sub(B,jahr__1_1)
| ~ sub(c94,name_1_1)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_419,c_237]) ).
cnf(c_450,plain,
( ~ val(B,C)
| ~ val(c94,bmw_0)
| ~ temp(D,A)
| ~ sub(B,jahr__1_1)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_239,c_449]) ).
cnf(c_422,plain,
( ~ val(B,C)
| ~ temp(D,A)
| ~ sub(B,jahr__1_1)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_240,c_450]) ).
cnf(c_451,plain,
( ~ val(c107,A)
| ~ temp(B,c106)
| ~ sub(c107,jahr__1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_422,c_226]) ).
cnf(c_452,plain,
( ~ val(c107,A)
| ~ temp(B,c106)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_451,c_227]) ).
cnf(c_453,plain,
( ~ val(c107,A)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_452,c_224]) ).
cnf(c_444,plain,
~ has_card_leq(c102,int1994),
inference(resolve,[status(thm)],[c_453,c_228]) ).
cnf(c_454,plain,
~ card(c102,int1994),
inference(resolve,[status(thm)],[c_444,c_150]) ).
cnf(c_445,plain,
$false,
inference(resolve,[status(thm)],[c_301,c_454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+37 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 01:08:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 287606 was started by sandbox2 on n014,
% 0.08/0.37 % Sun Sep 27 01:08:17 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.22/0.64
% 0.22/0.64 % SInE (scan): 84 to sos (tol 1.5x), 22 to usable (tol 2.0x), 10082 zapped, of 10188 axioms (depth 3).
% 0.22/0.64
% 0.22/0.64 % From the command line: assign(max_seconds, 300).
% 0.22/0.64
% 0.22/0.64 % SZS status Theorem for theBenchmark
% 0.22/0.64
% 0.22/0.64 % Proof 1 at 0.10 (+ 0.04) seconds.
% 0.22/0.64 % Length of proof is 18.
% 0.22/0.64 % Level of proof is 5.
% 0.22/0.64 % Maximum clause weight is 38.000.
% 0.22/0.64 % Given clauses 62.
% 0.22/0.64
% 0.22/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------