%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+62 : 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 : n019.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 07:07:46 AM UTC 2026
% Result : Theorem 0.39s 0.54s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 309 ( 0 equ)
% Maximal formula atoms : 159 ( 9 avg)
% Number of connectives : 385 ( 108 ~; 92 |; 184 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 159 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 51 con; 0-2 aty)
% Number of variables : 50 ( 0 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_wp_469,axiom,
( card(c4,int1994)
& sort(c4,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(c8,varia_c)
& refer(c8,refer_c)
& quant(c8,quant_c)
& gener(c8,sp)
& fact(c8,real)
& etype(c8,etype_c)
& card(c8,card_c)
& sort(c8,ta)
& sort(c8,oa)
& sort(c8,me)
& sort(staatlich__1_1,tq)
& varia(unternehmen_1_1,varia_c)
& refer(unternehmen_1_1,refer_c)
& quant(unternehmen_1_1,one)
& gener(unternehmen_1_1,ge)
& fact(unternehmen_1_1,real)
& etype(unternehmen_1_1,int0)
& card(unternehmen_1_1,int1)
& sort(unternehmen_1_1,io)
& sort(unternehmen_1_1,d)
& varia(deregulation_1_1,varia_c)
& refer(deregulation_1_1,refer_c)
& quant(deregulation_1_1,one)
& gener(deregulation_1_1,ge)
& fact(deregulation_1_1,real)
& etype(deregulation_1_1,int0)
& card(deregulation_1_1,int1)
& sort(deregulation_1_1,ad)
& varia(c22,varia_c)
& refer(c22,indet)
& quant(c22,mult)
& gener(c22,sp)
& fact(c22,real)
& etype(c22,int1)
& card(c22,cons(x_constant,cons(int1,nil)))
& sort(c22,io)
& sort(c22,d)
& varia(c16,con)
& refer(c16,det)
& quant(c16,one)
& gener(c16,sp)
& fact(c16,real)
& etype(c16,int0)
& card(c16,int1)
& sort(c16,ad)
& 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(c129,varia_c)
& refer(c129,indet)
& quant(c129,one)
& gener(c129,sp)
& fact(c129,real)
& etype(c129,int0)
& card(c129,int1)
& sort(c129,na)
& varia(c7,con)
& refer(c7,det)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,t)
& gener(n374bernehmen_1_1,ge)
& fact(n374bernehmen_1_1,real)
& sort(n374bernehmen_1_1,da)
& varia(c26,con)
& refer(c26,det)
& quant(c26,one)
& gener(c26,sp)
& fact(c26,real)
& etype(c26,int0)
& card(c26,int1)
& sort(c26,io)
& sort(c26,d)
& varia(c132,con)
& refer(c132,det)
& quant(c132,one)
& gener(c132,sp)
& fact(c132,real)
& etype(c132,int0)
& card(c132,int1)
& sort(c132,l)
& varia(c128,con)
& refer(c128,det)
& quant(c128,one)
& gener(c128,sp)
& fact(c128,real)
& etype(c128,int0)
& card(c128,int1)
& sort(c128,io)
& sort(c128,d)
& gener(c126,sp)
& fact(c126,real)
& sort(c126,da)
& varia(eisenbahn__1_1,varia_c)
& refer(eisenbahn__1_1,refer_c)
& quant(eisenbahn__1_1,one)
& gener(eisenbahn__1_1,ge)
& fact(eisenbahn__1_1,real)
& etype(eisenbahn__1_1,int0)
& card(eisenbahn__1_1,int1)
& sort(eisenbahn__1_1,d)
& varia(c12,con)
& refer(c12,det)
& quant(c12,one)
& gener(c12,sp)
& fact(c12,real)
& etype(c12,int0)
& card(c12,int1)
& sort(c12,d)
& val(c8,c4)
& sub(c8,jahr__1_1)
& attr(c7,c8)
& sub(c26,firma_1_1)
& prop(c22,staatlich__1_1)
& pred(c22,unternehmen_1_1)
& subs(c16,deregulation_1_1)
& attch(c16,c12)
& aff(c16,c22)
& in(c132,c12)
& val(c129,bmw_0)
& sub(c129,name_1_1)
& sub(c128,firma_1_1)
& attr(c128,c129)
& temp(c126,c7)
& subs(c126,n374bernehmen_1_1)
& obj(c126,c26)
& loc(c126,c132)
& agt(c126,c128)
& sub(c12,eisenbahn__1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_469) ).
fof(synth_qa07_007_mira_wp_469,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& val(X2,bmw_0)
& val(X1,bmw_0)
& temp(X4,X5)
& subs(X4,n374bernehmen_1_1)
& 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)
& agt(X4,X3) ),
file('theBenchmark.p',synth_qa07_007_mira_wp_469) ).
fof(synth_qa07_007_mira_wp_469_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)
& subs(X4,n374bernehmen_1_1)
& 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)
& agt(X4,X3) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_469]) ).
cnf(c_125,plain,
( has_card_leq(A,B)
| ~ card(A,B) ),
inference(clausify,[status(thm)],[has_card_eq]) ).
cnf(c_198,plain,
agt(c126,c128),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_201,plain,
subs(c126,n374bernehmen_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_202,plain,
temp(c126,c7),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_203,plain,
attr(c128,c129),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_204,plain,
sub(c128,firma_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_205,plain,
sub(c129,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_206,plain,
val(c129,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_214,plain,
attr(c7,c8),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_215,plain,
sub(c8,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_216,plain,
val(c8,c4),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_355,plain,
card(c4,int1994),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).
cnf(c_356,negated_conjecture,
( ~ val(V6,V7)
| ~ val(E,bmw_0)
| ~ val(D,bmw_0)
| ~ temp(A,F)
| ~ subs(A,n374bernehmen_1_1)
| ~ sub(V6,jahr__1_1)
| ~ sub(E,name_1_1)
| ~ sub(C,firma_1_1)
| ~ sub(D,name_1_1)
| ~ has_card_leq(V7,int1994)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(C,D)
| ~ agt(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_wp_469_neg]) ).
cnf(c_382,negated_conjecture,
( ~ val(E,F)
| ~ val(C,bmw_0)
| ~ val(B,bmw_0)
| ~ temp(c126,D)
| ~ subs(c126,n374bernehmen_1_1)
| ~ sub(E,jahr__1_1)
| ~ sub(C,name_1_1)
| ~ sub(A,firma_1_1)
| ~ sub(B,name_1_1)
| ~ has_card_leq(F,int1994)
| ~ attr(D,E)
| ~ attr(c128,C)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_356,c_198]) ).
cnf(c_383,negated_conjecture,
( ~ val(C,D)
| ~ val(A,bmw_0)
| ~ val(c129,bmw_0)
| ~ temp(c126,B)
| ~ subs(c126,n374bernehmen_1_1)
| ~ sub(C,jahr__1_1)
| ~ sub(A,name_1_1)
| ~ sub(c128,firma_1_1)
| ~ sub(c129,name_1_1)
| ~ has_card_leq(D,int1994)
| ~ attr(B,C)
| ~ attr(c128,A) ),
inference(resolve,[status(thm)],[c_382,c_203]) ).
cnf(c_384,negated_conjecture,
( ~ val(B,C)
| ~ val(c129,bmw_0)
| ~ val(c129,bmw_0)
| ~ temp(c126,A)
| ~ subs(c126,n374bernehmen_1_1)
| ~ sub(B,jahr__1_1)
| ~ sub(c129,name_1_1)
| ~ sub(c128,firma_1_1)
| ~ sub(c129,name_1_1)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_383,c_203]) ).
cnf(c_385,negated_conjecture,
( ~ val(c8,A)
| ~ val(c129,bmw_0)
| ~ val(c129,bmw_0)
| ~ temp(c126,c7)
| ~ subs(c126,n374bernehmen_1_1)
| ~ sub(c8,jahr__1_1)
| ~ sub(c129,name_1_1)
| ~ sub(c128,firma_1_1)
| ~ sub(c129,name_1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_384,c_214]) ).
cnf(c_386,negated_conjecture,
( ~ val(c8,A)
| ~ val(c129,bmw_0)
| ~ val(c129,bmw_0)
| ~ temp(c126,c7)
| ~ subs(c126,n374bernehmen_1_1)
| ~ sub(c8,jahr__1_1)
| ~ sub(c129,name_1_1)
| ~ sub(c128,firma_1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_385,c_205]) ).
cnf(c_387,negated_conjecture,
( ~ val(c8,A)
| ~ val(c129,bmw_0)
| ~ val(c129,bmw_0)
| ~ temp(c126,c7)
| ~ subs(c126,n374bernehmen_1_1)
| ~ sub(c8,jahr__1_1)
| ~ sub(c129,name_1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_386,c_204]) ).
cnf(c_388,negated_conjecture,
( ~ val(c8,A)
| ~ val(c129,bmw_0)
| ~ val(c129,bmw_0)
| ~ temp(c126,c7)
| ~ subs(c126,n374bernehmen_1_1)
| ~ sub(c8,jahr__1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_387,c_205]) ).
cnf(c_389,negated_conjecture,
( ~ val(c8,A)
| ~ val(c129,bmw_0)
| ~ val(c129,bmw_0)
| ~ temp(c126,c7)
| ~ subs(c126,n374bernehmen_1_1)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_388,c_215]) ).
cnf(c_390,negated_conjecture,
( ~ val(c8,A)
| ~ val(c129,bmw_0)
| ~ val(c129,bmw_0)
| ~ temp(c126,c7)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_389,c_201]) ).
cnf(c_391,negated_conjecture,
( ~ val(c8,A)
| ~ val(c129,bmw_0)
| ~ val(c129,bmw_0)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_390,c_202]) ).
cnf(c_392,negated_conjecture,
( ~ val(c8,A)
| ~ val(c129,bmw_0)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_391,c_206]) ).
cnf(c_393,negated_conjecture,
( ~ val(c8,A)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_392,c_206]) ).
cnf(c_378,negated_conjecture,
~ has_card_leq(c4,int1994),
inference(resolve,[status(thm)],[c_393,c_216]) ).
cnf(c_394,plain,
~ card(c4,int1994),
inference(resolve,[status(thm)],[c_378,c_125]) ).
cnf(c_381,plain,
$false,
inference(resolve,[status(thm)],[c_355,c_394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+62 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 01:11:06 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.36 % Process 2617311 was started by sandbox2 on n019,
% 0.14/0.36 % Sun Sep 27 01:11:06 2026
% 0.14/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.39/0.54
% 0.39/0.54 % SInE (scan): 84 to sos (tol 1.5x), 18 to usable (tol 2.0x), 10086 zapped, of 10188 axioms (depth 3).
% 0.39/0.54
% 0.39/0.54 % From the command line: assign(max_seconds, 300).
% 0.39/0.54
% 0.39/0.54 % SZS status Theorem for theBenchmark
% 0.39/0.54
% 0.39/0.54 % Proof 1 at 0.05 (+ 0.03) seconds.
% 0.39/0.54 % Length of proof is 18.
% 0.39/0.54 % Level of proof is 3.
% 0.39/0.54 % Maximum clause weight is 44.000.
% 0.39/0.54 % Given clauses 67.
% 0.39/0.54
% 0.39/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------