%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+21 : 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 : n009.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 07:07:41 AM UTC 2026
% Result : Theorem 0.96s 0.68s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 251 ( 0 equ)
% Maximal formula atoms : 135 ( 8 avg)
% Number of connectives : 292 ( 69 ~; 59 |; 163 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 135 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 44 con; 0-4 aty)
% Number of variables : 83 ( 15 sgn 36 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_007_mira_news_1144,axiom,
( gener(val_0,gener_c)
& fact(val_0,real)
& sort(val_0,st)
& gener(zulegen_1_1,ge)
& fact(zulegen_1_1,real)
& sort(zulegen_1_1,da)
& gener(just_1_1,gener_c)
& fact(just_1_1,real)
& sort(just_1_1,md)
& gener(c816,sp)
& fact(c816,real)
& sort(c816,da)
& 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(c814,varia_c)
& refer(c814,det)
& quant(c814,one)
& gener(c814,sp)
& fact(c814,real)
& etype(c814,int0)
& card(c814,int1)
& sort(c814,io)
& sort(c814,d)
& varia(wert_1_1,varia_c)
& refer(wert_1_1,refer_c)
& quant(wert_1_1,one)
& gener(wert_1_1,ge)
& fact(wert_1_1,real)
& etype(wert_1_1,int0)
& card(wert_1_1,int1)
& sort(wert_1_1,oa)
& sort(wert_1_1,io)
& 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(k__344ufer_1_1,varia_c)
& refer(k__344ufer_1_1,refer_c)
& quant(k__344ufer_1_1,one)
& gener(k__344ufer_1_1,ge)
& fact(k__344ufer_1_1,real)
& etype(k__344ufer_1_1,int0)
& card(k__344ufer_1_1,int1)
& sort(k__344ufer_1_1,io)
& sort(k__344ufer_1_1,d)
& varia(c718,varia_c)
& refer(c718,indet)
& quant(c718,one)
& gener(c718,sp)
& fact(c718,real)
& etype(c718,int0)
& card(c718,int1)
& sort(c718,na)
& varia(c717,con)
& refer(c717,det)
& quant(c717,one)
& gener(c717,sp)
& fact(c717,real)
& etype(c717,int0)
& card(c717,int1)
& sort(c717,io)
& sort(c717,d)
& gener(gewinnen_1_2,ge)
& fact(gewinnen_1_2,real)
& sort(gewinnen_1_2,dn)
& gener(c821,sp)
& fact(c821,real)
& sort(c821,st)
& sort(enorm_1_1,nq)
& gener(c822,sp)
& fact(c822,real)
& sort(c822,st)
& gener(c537,sp)
& fact(c537,real)
& sort(c537,dn)
& varia(papier_1_1,varia_c)
& refer(papier_1_1,refer_c)
& quant(papier_1_1,one)
& gener(papier_1_1,ge)
& fact(papier_1_1,real)
& etype(papier_1_1,int0)
& card(papier_1_1,int1)
& sort(papier_1_1,s)
& varia(c802,varia_c)
& refer(c802,refer_c)
& quant(c802,one)
& gener(c802,gener_c)
& fact(c802,real)
& etype(c802,int0)
& card(c802,int1)
& sort(c802,oa)
& sort(c802,io)
& varia(c5,con)
& refer(c5,det)
& quant(c5,one)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sort(c5,s)
& subr(c822,val_0)
& arg1(c822,c802)
& subr(c821,val_0)
& arg1(c821,c802)
& subs(c816,zulegen_1_1)
& reas(c816,c537)
& obj(c816,c814)
& modl(c816,just_1_1)
& agt(c816,c717)
& sub(c814,firma_1_1)
& sub(c802,wert_1_1)
& val(c718,bmw_0)
& sub(c718,name_1_1)
& sub(c717,k__344ufer_1_1)
& attr(c717,c718)
& attch(c717,c5)
& subs(c537,gewinnen_1_2)
& rslt(c537,c821)
& mannr(c537,enorm_1_1)
& init(c537,c822)
& aff(c537,c5)
& sub(c5,papier_1_1)
& attr(c5,c802) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1144) ).
fof(agtrel__action_rslt,axiom,
! [X0,X1,X2,X3] :
( ( attch(X3,X2)
& agtrel(X0,X1)
& ( pred(X3,X1)
| sub(X3,X1) ) )
=> ? [X4] :
( subs(X4,X0)
& rslt(X4,X2)
& agt(X4,X3) ) ),
file('theBenchmark.p',agtrel__action_rslt) ).
fof(synth_qa07_007_mira_news_1144,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1)
& agt(X4,X3) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1144) ).
fof(synth_qa07_007_mira_news_1144_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1)
& agt(X4,X3) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1144]) ).
fof(nnf_50,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( subs(X4,X0)
& rslt(X4,X2)
& agt(X4,X3) )
| ~ attch(X3,X2)
| ~ agtrel(X0,X1)
| ( ~ pred(X3,X1)
& ~ sub(X3,X1) ) ),
inference(fof_nnf,[status(thm)],[agtrel__action_rslt]) ).
fof(sk_agtrel__action_rslt_sk,plain,
! [X0,X1,X2,X3] :
( ( subs(sK0(X0,X1,X2,X3),X0)
& rslt(sK0(X0,X1,X2,X3),X2)
& agt(sK0(X0,X1,X2,X3),X3) )
| ~ attch(X3,X2)
| ~ agtrel(X0,X1)
| ( ~ pred(X3,X1)
& ~ sub(X3,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2,X3))],[nnf_50]) ).
fof(sk_agtrel__action_rslt,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( subs(sK0(VAR_2,VAR_1,VAR_3,VAR_0),VAR_2)
| ~ attch(VAR_0,VAR_3)
| ~ agtrel(VAR_2,VAR_1)
| ~ pred(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( rslt(sK0(VAR_2,VAR_1,VAR_3,VAR_0),VAR_3)
| ~ attch(VAR_0,VAR_3)
| ~ agtrel(VAR_2,VAR_1)
| ~ pred(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( agt(sK0(VAR_2,VAR_1,VAR_3,VAR_0),VAR_0)
| ~ attch(VAR_0,VAR_3)
| ~ agtrel(VAR_2,VAR_1)
| ~ pred(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( subs(sK0(VAR_2,VAR_1,VAR_3,VAR_0),VAR_2)
| ~ attch(VAR_0,VAR_3)
| ~ agtrel(VAR_2,VAR_1)
| ~ sub(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( rslt(sK0(VAR_2,VAR_1,VAR_3,VAR_0),VAR_3)
| ~ attch(VAR_0,VAR_3)
| ~ agtrel(VAR_2,VAR_1)
| ~ sub(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( agt(sK0(VAR_2,VAR_1,VAR_3,VAR_0),VAR_0)
| ~ attch(VAR_0,VAR_3)
| ~ agtrel(VAR_2,VAR_1)
| ~ sub(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_agtrel__action_rslt_sk]) ).
cnf(c_87,plain,
( agt(sK0(C,B,D,A),A)
| ~ attch(A,D)
| ~ agtrel(C,B)
| ~ sub(A,B) ),
inference(split_conjunct,[status(thm)],[sk_agtrel__action_rslt]) ).
fof(fact_9,axiom,
agtrel(kaufen_1_1,k__344ufer_1_1),
file('theBenchmark.p',fact_9) ).
cnf(c_181,plain,
agtrel(kaufen_1_1,k__344ufer_1_1),
inference(clausify,[status(thm)],[fact_9]) ).
cnf(c_184,plain,
attr(c5,c802),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1144]) ).
cnf(c_191,plain,
attch(c717,c5),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1144]) ).
cnf(c_192,plain,
attr(c717,c718),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1144]) ).
cnf(c_193,plain,
sub(c717,k__344ufer_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1144]) ).
cnf(c_194,plain,
sub(c718,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1144]) ).
cnf(c_195,plain,
val(c718,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1144]) ).
cnf(c_319,negated_conjecture,
( ~ val(E,bmw_0)
| ~ val(D,bmw_0)
| ~ sub(E,name_1_1)
| ~ sub(D,name_1_1)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(C,D)
| ~ agt(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1144_neg]) ).
cnf(c_596,plain,
( ~ val(E,bmw_0)
| ~ val(D,bmw_0)
| ~ sub(E,name_1_1)
| ~ sub(D,name_1_1)
| ~ attr(B,E)
| ~ attr(C,D)
| ~ agt(A,B) ),
inference(resolve,[status(thm)],[c_184,c_319]) ).
cnf(c_641,plain,
( ~ val(c718,bmw_0)
| ~ val(C,bmw_0)
| ~ sub(c718,name_1_1)
| ~ sub(C,name_1_1)
| ~ attr(B,C)
| ~ agt(A,c717) ),
inference(resolve,[status(thm)],[c_192,c_596]) ).
cnf(c_642,plain,
( ~ val(c718,bmw_0)
| ~ val(C,bmw_0)
| ~ sub(C,name_1_1)
| ~ attr(B,C)
| ~ agt(A,c717) ),
inference(resolve,[status(thm)],[c_194,c_641]) ).
cnf(c_625,plain,
( ~ val(C,bmw_0)
| ~ sub(C,name_1_1)
| ~ attr(B,C)
| ~ agt(A,c717) ),
inference(resolve,[status(thm)],[c_195,c_642]) ).
cnf(c_643,plain,
( agt(sK0(A,k__344ufer_1_1,B,c717),c717)
| ~ attch(c717,B)
| ~ agtrel(A,k__344ufer_1_1) ),
inference(resolve,[status(thm)],[c_87,c_193]) ).
cnf(c_644,plain,
( agt(sK0(kaufen_1_1,k__344ufer_1_1,A,c717),c717)
| ~ attch(c717,A) ),
inference(resolve,[status(thm)],[c_643,c_181]) ).
cnf(c_629,plain,
agt(sK0(kaufen_1_1,k__344ufer_1_1,c5,c717),c717),
inference(resolve,[status(thm)],[c_644,c_191]) ).
cnf(c_645,plain,
( ~ val(c718,bmw_0)
| ~ sub(c718,name_1_1)
| ~ agt(A,c717) ),
inference(resolve,[status(thm)],[c_625,c_192]) ).
cnf(c_646,plain,
( ~ val(c718,bmw_0)
| ~ agt(A,c717) ),
inference(resolve,[status(thm)],[c_194,c_645]) ).
cnf(c_639,plain,
~ agt(A,c717),
inference(resolve,[status(thm)],[c_195,c_646]) ).
cnf(c_640,plain,
$false,
inference(resolve,[status(thm)],[c_639,c_629]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR115+21 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 01:07:29 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 1525204 was started by sandbox2 on n009,
% 0.18/0.45 % Sun Sep 27 01:07:29 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.96/0.68
% 0.96/0.68 % SInE (scan): 72 to sos (tol 1.5x), 19 to usable (tol 2.0x), 10097 zapped, of 10188 axioms (depth 3).
% 0.96/0.68
% 0.96/0.68 % From the command line: assign(max_seconds, 300).
% 0.96/0.68
% 0.96/0.68 % SZS status Theorem for theBenchmark
% 0.96/0.68
% 0.96/0.68 % Proof 1 at 0.07 (+ 0.04) seconds.
% 0.96/0.68 % Length of proof is 17.
% 0.96/0.68 % Level of proof is 5.
% 0.96/0.68 % Maximum clause weight is 29.000.
% 0.96/0.68 % Given clauses 65.
% 0.96/0.68
% 0.96/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------